id	sid	tid	token	lemma	pos
american_scientific_journal-3507	1	1	235	235	NUM
american_scientific_journal-3507	1	2	american	american	ADJ
american_scientific_journal-3507	1	3	scientific	scientific	ADJ
american_scientific_journal-3507	1	4	research	research	NOUN
american_scientific_journal-3507	1	5	journal	journal	NOUN
american_scientific_journal-3507	1	6	for	for	ADP
american_scientific_journal-3507	1	7	engineering	engineering	NOUN
american_scientific_journal-3507	1	8	,	,	PUNCT
american_scientific_journal-3507	1	9	technology	technology	NOUN
american_scientific_journal-3507	1	10	,	,	PUNCT
american_scientific_journal-3507	1	11	and	and	CCONJ
american_scientific_journal-3507	1	12	sciences	science	NOUN
american_scientific_journal-3507	1	13	(	(	PUNCT
american_scientific_journal-3507	1	14	asrjets	asrjet	NOUN
american_scientific_journal-3507	1	15	)	)	PUNCT
american_scientific_journal-3507	1	16	issn	issn	PROPN
american_scientific_journal-3507	1	17	(	(	PUNCT
american_scientific_journal-3507	1	18	print	print	NOUN
american_scientific_journal-3507	1	19	)	)	PUNCT
american_scientific_journal-3507	1	20	2313	2313	NUM
american_scientific_journal-3507	1	21	-	-	SYM
american_scientific_journal-3507	1	22	4410	4410	NUM
american_scientific_journal-3507	1	23	,	,	PUNCT
american_scientific_journal-3507	1	24	issn	issn	PROPN
american_scientific_journal-3507	1	25	(	(	PUNCT
american_scientific_journal-3507	1	26	online	online	ADJ
american_scientific_journal-3507	1	27	)	)	PUNCT
american_scientific_journal-3507	1	28	2313	2313	NUM
american_scientific_journal-3507	1	29	-	-	SYM
american_scientific_journal-3507	1	30	4402	4402	NUM
american_scientific_journal-3507	1	31	©	©	PROPN
american_scientific_journal-3507	1	32	global	global	ADJ
american_scientific_journal-3507	1	33	society	society	NOUN
american_scientific_journal-3507	1	34	of	of	ADP
american_scientific_journal-3507	1	35	scientific	scientific	ADJ
american_scientific_journal-3507	1	36	research	research	NOUN
american_scientific_journal-3507	1	37	and	and	CCONJ
american_scientific_journal-3507	1	38	researchers	researcher	NOUN
american_scientific_journal-3507	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	NOUN
american_scientific_journal-3507	1	40	comparative	comparative	ADJ
american_scientific_journal-3507	1	41	analysis	analysis	NOUN
american_scientific_journal-3507	1	42	of	of	ADP
american_scientific_journal-3507	1	43	laplace	laplace	NOUN
american_scientific_journal-3507	1	44	transform	transform	NOUN
american_scientific_journal-3507	1	45	and	and	CCONJ
american_scientific_journal-3507	1	46	finite	finite	ADJ
american_scientific_journal-3507	1	47	difference	difference	NOUN
american_scientific_journal-3507	1	48	modeling	modeling	NOUN
american_scientific_journal-3507	1	49	and	and	CCONJ
american_scientific_journal-3507	1	50	simulation	simulation	NOUN
american_scientific_journal-3507	1	51	of	of	ADP
american_scientific_journal-3507	1	52	solute	solute	ADJ
american_scientific_journal-3507	1	53	transport	transport	NOUN
american_scientific_journal-3507	1	54	in	in	ADP
american_scientific_journal-3507	1	55	soil	soil	NOUN
american_scientific_journal-3507	1	56	.	.	PUNCT
american_scientific_journal-3507	2	1	(	(	PUNCT
american_scientific_journal-3507	2	2	case	case	NOUN
american_scientific_journal-3507	2	3	study	study	NOUN
american_scientific_journal-3507	2	4	:	:	PUNCT
american_scientific_journal-3507	2	5	nitrate	nitrate	NOUN
american_scientific_journal-3507	2	6	solute	solute	NOUN
american_scientific_journal-3507	2	7	transport	transport	NOUN
american_scientific_journal-3507	2	8	in	in	ADP
american_scientific_journal-3507	2	9	homogeneous	homogeneous	ADJ
american_scientific_journal-3507	2	10	soil	soil	NOUN
american_scientific_journal-3507	2	11	)	)	PUNCT
american_scientific_journal-3507	2	12	ernest	ernest	PROPN
american_scientific_journal-3507	2	13	kwame	kwame	PROPN
american_scientific_journal-3507	2	14	ampomaha	ampomaha	PROPN
american_scientific_journal-3507	2	15	*	*	PROPN
american_scientific_journal-3507	2	16	,	,	PUNCT
american_scientific_journal-3507	2	17	akwasi	akwasi	PROPN
american_scientific_journal-3507	2	18	ayensub	ayensub	PROPN
american_scientific_journal-3507	2	19	,	,	PUNCT
american_scientific_journal-3507	2	20	barnabas	barnabas	PROPN
american_scientific_journal-3507	2	21	amisigoc	amisigoc	PROPN
american_scientific_journal-3507	2	22	,	,	PUNCT
american_scientific_journal-3507	2	23	obed	obe	VERB
american_scientific_journal-3507	2	24	agbenorkud	agbenorkud	NOUN
american_scientific_journal-3507	2	25	achristian	achristian	PROPN
american_scientific_journal-3507	2	26	service	service	PROPN
american_scientific_journal-3507	2	27	university	university	PROPN
american_scientific_journal-3507	2	28	college	college	NOUN
american_scientific_journal-3507	2	29	p	p	PROPN
american_scientific_journal-3507	2	30	o	o	PROPN
american_scientific_journal-3507	2	31	box	box	PROPN
american_scientific_journal-3507	2	32	312	312	NUM
american_scientific_journal-3507	2	33	,	,	PUNCT
american_scientific_journal-3507	2	34	kumasi	kumasi	NOUN
american_scientific_journal-3507	2	35	–	–	PUNCT
american_scientific_journal-3507	2	36	ghana	ghana	PROPN
american_scientific_journal-3507	2	37	bgraduate	bgraduate	ADJ
american_scientific_journal-3507	2	38	school	school	NOUN
american_scientific_journal-3507	2	39	of	of	ADP
american_scientific_journal-3507	2	40	nuclear	nuclear	ADJ
american_scientific_journal-3507	2	41	and	and	CCONJ
american_scientific_journal-3507	2	42	allied	ally	VERB
american_scientific_journal-3507	2	43	science	science	NOUN
american_scientific_journal-3507	2	44	,	,	PUNCT
american_scientific_journal-3507	2	45	p	p	PROPN
american_scientific_journal-3507	2	46	o	o	PROPN
american_scientific_journal-3507	2	47	box	box	PROPN
american_scientific_journal-3507	2	48	ae1	ae1	PROPN
american_scientific_journal-3507	2	49	,	,	PUNCT
american_scientific_journal-3507	2	50	accra	accra	PROPN
american_scientific_journal-3507	2	51	-	-	PUNCT
american_scientific_journal-3507	2	52	ghana	ghana	PROPN
american_scientific_journal-3507	2	53	ccouncil	ccouncil	PROPN
american_scientific_journal-3507	2	54	of	of	ADP
american_scientific_journal-3507	2	55	scientific	scientific	ADJ
american_scientific_journal-3507	2	56	and	and	CCONJ
american_scientific_journal-3507	2	57	industrial	industrial	ADJ
american_scientific_journal-3507	2	58	research	research	NOUN
american_scientific_journal-3507	2	59	,	,	PUNCT
american_scientific_journal-3507	2	60	p	p	PROPN
american_scientific_journal-3507	2	61	o	o	PROPN
american_scientific_journal-3507	2	62	box	box	PROPN
american_scientific_journal-3507	2	63	m32	m32	PROPN
american_scientific_journal-3507	2	64	,	,	PUNCT
american_scientific_journal-3507	2	65	accra	accra	PROPN
american_scientific_journal-3507	2	66	–	–	PUNCT
american_scientific_journal-3507	2	67	ghana	ghana	PROPN
american_scientific_journal-3507	2	68	dnuclear	dnuclear	PROPN
american_scientific_journal-3507	2	69	regulatory	regulatory	ADJ
american_scientific_journal-3507	2	70	authority	authority	NOUN
american_scientific_journal-3507	2	71	,	,	PUNCT
american_scientific_journal-3507	2	72	p	p	PROPN
american_scientific_journal-3507	2	73	o	o	PROPN
american_scientific_journal-3507	2	74	box	box	NOUN
american_scientific_journal-3507	2	75	ae	ae	PROPN
american_scientific_journal-3507	2	76	50	50	NUM
american_scientific_journal-3507	2	77	,	,	PUNCT
american_scientific_journal-3507	2	78	accra	accra	NOUN
american_scientific_journal-3507	2	79	–	–	PUNCT
american_scientific_journal-3507	2	80	ghana	ghana	PROPN
american_scientific_journal-3507	2	81	aemail	aemail	NOUN
american_scientific_journal-3507	2	82	:	:	PUNCT
american_scientific_journal-3507	2	83	freeamps@yahoo.com	freeamps@yahoo.com	NOUN
american_scientific_journal-3507	2	84	,	,	PUNCT
american_scientific_journal-3507	2	85	bemail	bemail	NOUN
american_scientific_journal-3507	2	86	:	:	PUNCT
american_scientific_journal-3507	2	87	profayensu@gmail.com	profayensu@gmail.com	X
american_scientific_journal-3507	2	88	cemail	cemail	NOUN
american_scientific_journal-3507	2	89	:	:	PUNCT
american_scientific_journal-3507	2	90	barnyy2002@yahoo.co.uk	barnyy2002@yahoo.co.uk	NOUN
american_scientific_journal-3507	2	91	,	,	PUNCT
american_scientific_journal-3507	2	92	demail	demail	NOUN
american_scientific_journal-3507	2	93	:	:	PUNCT
american_scientific_journal-3507	2	94	abidegh@yahoo.com	abidegh@yahoo.com	X
american_scientific_journal-3507	3	1	abstract	abstract	ADJ
american_scientific_journal-3507	3	2	analytical	analytical	ADJ
american_scientific_journal-3507	3	3	laplace	laplace	NOUN
american_scientific_journal-3507	3	4	transform	transform	NOUN
american_scientific_journal-3507	3	5	and	and	CCONJ
american_scientific_journal-3507	3	6	numerical	numerical	ADJ
american_scientific_journal-3507	3	7	finite	finite	PROPN
american_scientific_journal-3507	3	8	difference	difference	NOUN
american_scientific_journal-3507	3	9	methods	method	NOUN
american_scientific_journal-3507	3	10	were	be	AUX
american_scientific_journal-3507	3	11	used	use	VERB
american_scientific_journal-3507	3	12	to	to	PART
american_scientific_journal-3507	3	13	solve	solve	VERB
american_scientific_journal-3507	3	14	solute	solute	ADJ
american_scientific_journal-3507	3	15	transport	transport	NOUN
american_scientific_journal-3507	3	16	model	model	NOUN
american_scientific_journal-3507	3	17	(	(	PUNCT
american_scientific_journal-3507	3	18	conversion	conversion	NOUN
american_scientific_journal-3507	3	19	dispersion	dispersion	NOUN
american_scientific_journal-3507	3	20	equation	equation	NOUN
american_scientific_journal-3507	3	21	)	)	PUNCT
american_scientific_journal-3507	3	22	for	for	ADP
american_scientific_journal-3507	3	23	a	a	DET
american_scientific_journal-3507	3	24	simplified	simplified	ADJ
american_scientific_journal-3507	3	25	homogeneous	homogeneous	ADJ
american_scientific_journal-3507	3	26	soil	soil	NOUN
american_scientific_journal-3507	3	27	and	and	CCONJ
american_scientific_journal-3507	3	28	simulation	simulation	NOUN
american_scientific_journal-3507	3	29	of	of	ADP
american_scientific_journal-3507	3	30	the	the	DET
american_scientific_journal-3507	3	31	transport	transport	NOUN
american_scientific_journal-3507	3	32	were	be	AUX
american_scientific_journal-3507	3	33	done	do	VERB
american_scientific_journal-3507	3	34	using	use	VERB
american_scientific_journal-3507	3	35	matlab	matlab	PROPN
american_scientific_journal-3507	3	36	programming	programming	NOUN
american_scientific_journal-3507	3	37	language	language	NOUN
american_scientific_journal-3507	3	38	.	.	PUNCT
american_scientific_journal-3507	4	1	nitrate	nitrate	NOUN
american_scientific_journal-3507	4	2	solute	solute	NOUN
american_scientific_journal-3507	4	3	was	be	AUX
american_scientific_journal-3507	4	4	used	use	VERB
american_scientific_journal-3507	4	5	for	for	ADP
american_scientific_journal-3507	4	6	the	the	DET
american_scientific_journal-3507	4	7	study	study	NOUN
american_scientific_journal-3507	4	8	.	.	PUNCT
american_scientific_journal-3507	5	1	the	the	DET
american_scientific_journal-3507	5	2	study	study	NOUN
american_scientific_journal-3507	5	3	compared	compare	VERB
american_scientific_journal-3507	5	4	the	the	DET
american_scientific_journal-3507	5	5	simulation	simulation	NOUN
american_scientific_journal-3507	5	6	results	result	NOUN
american_scientific_journal-3507	5	7	that	that	PRON
american_scientific_journal-3507	5	8	were	be	AUX
american_scientific_journal-3507	5	9	generated	generate	VERB
american_scientific_journal-3507	5	10	by	by	ADP
american_scientific_journal-3507	5	11	both	both	CCONJ
american_scientific_journal-3507	5	12	the	the	DET
american_scientific_journal-3507	5	13	laplace	laplace	NOUN
american_scientific_journal-3507	5	14	transform	transform	NOUN
american_scientific_journal-3507	5	15	and	and	CCONJ
american_scientific_journal-3507	5	16	the	the	DET
american_scientific_journal-3507	5	17	finite	finite	ADJ
american_scientific_journal-3507	5	18	difference	difference	NOUN
american_scientific_journal-3507	5	19	methods	method	NOUN
american_scientific_journal-3507	5	20	.	.	PUNCT
american_scientific_journal-3507	6	1	spatial	spatial	ADJ
american_scientific_journal-3507	6	2	and	and	CCONJ
american_scientific_journal-3507	6	3	temporal	temporal	ADJ
american_scientific_journal-3507	6	4	simulation	simulation	NOUN
american_scientific_journal-3507	6	5	of	of	ADP
american_scientific_journal-3507	6	6	nitrate	nitrate	NOUN
american_scientific_journal-3507	6	7	transport	transport	NOUN
american_scientific_journal-3507	6	8	comparing	compare	VERB
american_scientific_journal-3507	6	9	both	both	CCONJ
american_scientific_journal-3507	6	10	analytical	analytical	ADJ
american_scientific_journal-3507	6	11	and	and	CCONJ
american_scientific_journal-3507	6	12	numerical	numerical	ADJ
american_scientific_journal-3507	6	13	solutions	solution	NOUN
american_scientific_journal-3507	6	14	were	be	AUX
american_scientific_journal-3507	6	15	presented	present	VERB
american_scientific_journal-3507	6	16	.	.	PUNCT
american_scientific_journal-3507	7	1	the	the	DET
american_scientific_journal-3507	7	2	errors	error	NOUN
american_scientific_journal-3507	7	3	in	in	ADP
american_scientific_journal-3507	7	4	the	the	DET
american_scientific_journal-3507	7	5	spatial	spatial	ADJ
american_scientific_journal-3507	7	6	and	and	CCONJ
american_scientific_journal-3507	7	7	temporal	temporal	ADJ
american_scientific_journal-3507	7	8	numerical	numerical	ADJ
american_scientific_journal-3507	7	9	solution	solution	NOUN
american_scientific_journal-3507	7	10	were	be	AUX
american_scientific_journal-3507	7	11	simulated	simulate	VERB
american_scientific_journal-3507	7	12	.	.	PUNCT
american_scientific_journal-3507	8	1	a	a	DET
american_scientific_journal-3507	8	2	three	three	NUM
american_scientific_journal-3507	8	3	dimensional	dimensional	ADJ
american_scientific_journal-3507	8	4	simulation	simulation	NOUN
american_scientific_journal-3507	8	5	of	of	ADP
american_scientific_journal-3507	8	6	the	the	DET
american_scientific_journal-3507	8	7	nitrate	nitrate	NOUN
american_scientific_journal-3507	8	8	concentration	concentration	NOUN
american_scientific_journal-3507	8	9	,	,	PUNCT
american_scientific_journal-3507	8	10	depth	depth	NOUN
american_scientific_journal-3507	8	11	and	and	CCONJ
american_scientific_journal-3507	8	12	time	time	NOUN
american_scientific_journal-3507	8	13	for	for	ADP
american_scientific_journal-3507	8	14	both	both	CCONJ
american_scientific_journal-3507	8	15	the	the	DET
american_scientific_journal-3507	8	16	laplace	laplace	NOUN
american_scientific_journal-3507	8	17	transform	transform	NOUN
american_scientific_journal-3507	8	18	and	and	CCONJ
american_scientific_journal-3507	8	19	the	the	DET
american_scientific_journal-3507	8	20	finite	finite	ADJ
american_scientific_journal-3507	8	21	difference	difference	NOUN
american_scientific_journal-3507	8	22	method	method	NOUN
american_scientific_journal-3507	8	23	were	be	AUX
american_scientific_journal-3507	8	24	also	also	ADV
american_scientific_journal-3507	8	25	presented	present	VERB
american_scientific_journal-3507	8	26	.	.	PUNCT
american_scientific_journal-3507	9	1	the	the	DET
american_scientific_journal-3507	9	2	results	result	NOUN
american_scientific_journal-3507	9	3	showed	show	VERB
american_scientific_journal-3507	9	4	that	that	SCONJ
american_scientific_journal-3507	9	5	finite	finite	ADJ
american_scientific_journal-3507	9	6	difference	difference	NOUN
american_scientific_journal-3507	9	7	numerical	numerical	PROPN
american_scientific_journal-3507	9	8	method	method	PROPN
american_scientific_journal-3507	9	9	gave	give	VERB
american_scientific_journal-3507	9	10	a	a	DET
american_scientific_journal-3507	9	11	good	good	ADJ
american_scientific_journal-3507	9	12	approximation	approximation	NOUN
american_scientific_journal-3507	9	13	of	of	ADP
american_scientific_journal-3507	9	14	the	the	DET
american_scientific_journal-3507	9	15	laplace	laplace	NOUN
american_scientific_journal-3507	9	16	transform	transform	VERB
american_scientific_journal-3507	9	17	analytical	analytical	ADJ
american_scientific_journal-3507	9	18	method	method	NOUN
american_scientific_journal-3507	9	19	which	which	PRON
american_scientific_journal-3507	9	20	provide	provide	VERB
american_scientific_journal-3507	9	21	exact	exact	ADJ
american_scientific_journal-3507	9	22	solution	solution	NOUN
american_scientific_journal-3507	9	23	.	.	PUNCT
american_scientific_journal-3507	10	1	although	although	SCONJ
american_scientific_journal-3507	10	2	there	there	PRON
american_scientific_journal-3507	10	3	were	be	VERB
american_scientific_journal-3507	10	4	errors	error	NOUN
american_scientific_journal-3507	10	5	associated	associate	VERB
american_scientific_journal-3507	10	6	with	with	ADP
american_scientific_journal-3507	10	7	the	the	DET
american_scientific_journal-3507	10	8	numerical	numerical	ADJ
american_scientific_journal-3507	10	9	solution	solution	NOUN
american_scientific_journal-3507	10	10	,	,	PUNCT
american_scientific_journal-3507	10	11	the	the	DET
american_scientific_journal-3507	10	12	output	output	NOUN
american_scientific_journal-3507	10	13	of	of	ADP
american_scientific_journal-3507	10	14	the	the	DET
american_scientific_journal-3507	10	15	numerical	numerical	ADJ
american_scientific_journal-3507	10	16	solution	solution	NOUN
american_scientific_journal-3507	10	17	do	do	AUX
american_scientific_journal-3507	10	18	not	not	PART
american_scientific_journal-3507	10	19	sharply	sharply	ADV
american_scientific_journal-3507	10	20	deviate	deviate	VERB
american_scientific_journal-3507	10	21	from	from	ADP
american_scientific_journal-3507	10	22	that	that	PRON
american_scientific_journal-3507	10	23	of	of	ADP
american_scientific_journal-3507	10	24	the	the	DET
american_scientific_journal-3507	10	25	analytical	analytical	ADJ
american_scientific_journal-3507	10	26	solution	solution	NOUN
american_scientific_journal-3507	10	27	.	.	PUNCT
american_scientific_journal-3507	11	1	the	the	DET
american_scientific_journal-3507	11	2	errors	error	NOUN
american_scientific_journal-3507	11	3	associated	associate	VERB
american_scientific_journal-3507	11	4	with	with	ADP
american_scientific_journal-3507	11	5	the	the	DET
american_scientific_journal-3507	11	6	finite	finite	ADJ
american_scientific_journal-3507	11	7	difference	difference	NOUN
american_scientific_journal-3507	11	8	numerical	numerical	ADJ
american_scientific_journal-3507	11	9	solution	solution	NOUN
american_scientific_journal-3507	11	10	were	be	AUX
american_scientific_journal-3507	11	11	mainly	mainly	ADV
american_scientific_journal-3507	11	12	as	as	ADP
american_scientific_journal-3507	11	13	a	a	DET
american_scientific_journal-3507	11	14	result	result	NOUN
american_scientific_journal-3507	11	15	of	of	ADP
american_scientific_journal-3507	11	16	truncation	truncation	NOUN
american_scientific_journal-3507	11	17	of	of	ADP
american_scientific_journal-3507	11	18	the	the	DET
american_scientific_journal-3507	11	19	taylor	taylor	PROPN
american_scientific_journal-3507	11	20	series	series	NOUN
american_scientific_journal-3507	11	21	expression	expression	NOUN
american_scientific_journal-3507	11	22	.	.	PUNCT
american_scientific_journal-3507	12	1	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-3507	13	1	*	*	PUNCT
american_scientific_journal-3507	13	2	corresponding	correspond	VERB
american_scientific_journal-3507	13	3	author	author	NOUN
american_scientific_journal-3507	13	4	.	.	PUNCT
american_scientific_journal-3507	14	1	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-3507	14	2	american	american	PROPN
american_scientific_journal-3507	14	3	scientific	scientific	PROPN
american_scientific_journal-3507	14	4	research	research	NOUN
american_scientific_journal-3507	14	5	journal	journal	NOUN
american_scientific_journal-3507	14	6	for	for	ADP
american_scientific_journal-3507	14	7	engineering	engineering	NOUN
american_scientific_journal-3507	14	8	,	,	PUNCT
american_scientific_journal-3507	14	9	technology	technology	NOUN
american_scientific_journal-3507	14	10	,	,	PUNCT
american_scientific_journal-3507	14	11	and	and	CCONJ
american_scientific_journal-3507	14	12	sciences	science	NOUN
american_scientific_journal-3507	14	13	(	(	PUNCT
american_scientific_journal-3507	14	14	asrjets	asrjet	NOUN
american_scientific_journal-3507	14	15	)	)	PUNCT
american_scientific_journal-3507	14	16	(	(	PUNCT
american_scientific_journal-3507	14	17	2017	2017	NUM
american_scientific_journal-3507	14	18	)	)	PUNCT
american_scientific_journal-3507	14	19	volume	volume	NOUN
american_scientific_journal-3507	14	20	38	38	NUM
american_scientific_journal-3507	14	21	,	,	PUNCT
american_scientific_journal-3507	14	22	no	no	DET
american_scientific_journal-3507	14	23	1	1	NUM
american_scientific_journal-3507	14	24	,	,	PUNCT
american_scientific_journal-3507	14	25	pp	pp	ADV
american_scientific_journal-3507	14	26	235	235	NUM
american_scientific_journal-3507	14	27	-	-	SYM
american_scientific_journal-3507	14	28	249	249	NUM
american_scientific_journal-3507	14	29	236	236	NUM
american_scientific_journal-3507	14	30	finite	finite	ADJ
american_scientific_journal-3507	14	31	difference	difference	NOUN
american_scientific_journal-3507	14	32	numerical	numerical	ADJ
american_scientific_journal-3507	14	33	method	method	NOUN
american_scientific_journal-3507	14	34	can	can	AUX
american_scientific_journal-3507	14	35	be	be	AUX
american_scientific_journal-3507	14	36	used	use	VERB
american_scientific_journal-3507	14	37	to	to	PART
american_scientific_journal-3507	14	38	model	model	VERB
american_scientific_journal-3507	14	39	solute	solute	NOUN
american_scientific_journal-3507	14	40	transport	transport	NOUN
american_scientific_journal-3507	14	41	in	in	ADP
american_scientific_journal-3507	14	42	heterogeneous	heterogeneous	ADJ
american_scientific_journal-3507	14	43	soil	soil	NOUN
american_scientific_journal-3507	14	44	which	which	PRON
american_scientific_journal-3507	14	45	is	be	AUX
american_scientific_journal-3507	14	46	a	a	DET
american_scientific_journal-3507	14	47	more	more	ADV
american_scientific_journal-3507	14	48	complex	complex	ADJ
american_scientific_journal-3507	14	49	process	process	NOUN
american_scientific_journal-3507	14	50	that	that	PRON
american_scientific_journal-3507	14	51	can	can	AUX
american_scientific_journal-3507	14	52	not	not	PART
american_scientific_journal-3507	14	53	be	be	AUX
american_scientific_journal-3507	14	54	accomplished	accomplish	VERB
american_scientific_journal-3507	14	55	with	with	ADP
american_scientific_journal-3507	14	56	analytical	analytical	ADJ
american_scientific_journal-3507	14	57	method	method	NOUN
american_scientific_journal-3507	14	58	with	with	ADP
american_scientific_journal-3507	14	59	a	a	DET
american_scientific_journal-3507	14	60	reasonable	reasonable	ADJ
american_scientific_journal-3507	14	61	level	level	NOUN
american_scientific_journal-3507	14	62	of	of	ADP
american_scientific_journal-3507	14	63	accuracy	accuracy	NOUN
american_scientific_journal-3507	14	64	.	.	PUNCT
american_scientific_journal-3507	15	1	modeling	modeling	NOUN
american_scientific_journal-3507	15	2	of	of	ADP
american_scientific_journal-3507	15	3	solute	solute	ADJ
american_scientific_journal-3507	15	4	transport	transport	NOUN
american_scientific_journal-3507	15	5	in	in	ADP
american_scientific_journal-3507	15	6	soil	soil	NOUN
american_scientific_journal-3507	15	7	is	be	AUX
american_scientific_journal-3507	15	8	essential	essential	ADJ
american_scientific_journal-3507	15	9	for	for	ADP
american_scientific_journal-3507	15	10	management	management	NOUN
american_scientific_journal-3507	15	11	of	of	ADP
american_scientific_journal-3507	15	12	nutrients	nutrient	NOUN
american_scientific_journal-3507	15	13	supply	supply	NOUN
american_scientific_journal-3507	15	14	to	to	ADP
american_scientific_journal-3507	15	15	plants	plant	NOUN
american_scientific_journal-3507	15	16	and	and	CCONJ
american_scientific_journal-3507	15	17	water	water	NOUN
american_scientific_journal-3507	15	18	resource	resource	NOUN
american_scientific_journal-3507	15	19	.	.	PUNCT
american_scientific_journal-3507	16	1	keyword	keyword	NOUN
american_scientific_journal-3507	16	2	:	:	PUNCT
american_scientific_journal-3507	16	3	laplace	laplace	NOUN
american_scientific_journal-3507	16	4	transform	transform	NOUN
american_scientific_journal-3507	16	5	;	;	PUNCT
american_scientific_journal-3507	16	6	finite	finite	ADJ
american_scientific_journal-3507	16	7	difference	difference	NOUN
american_scientific_journal-3507	16	8	;	;	PUNCT
american_scientific_journal-3507	16	9	model	model	NOUN
american_scientific_journal-3507	16	10	;	;	PUNCT
american_scientific_journal-3507	16	11	simulation	simulation	NOUN
american_scientific_journal-3507	16	12	;	;	PUNCT
american_scientific_journal-3507	16	13	solute	solute	VERB
american_scientific_journal-3507	16	14	.	.	PUNCT
american_scientific_journal-3507	17	1	1	1	X
american_scientific_journal-3507	17	2	.	.	X
american_scientific_journal-3507	17	3	introduction	introduction	NOUN
american_scientific_journal-3507	17	4	different	different	ADJ
american_scientific_journal-3507	17	5	kinds	kind	NOUN
american_scientific_journal-3507	17	6	of	of	ADP
american_scientific_journal-3507	17	7	solutes	solute	NOUN
american_scientific_journal-3507	17	8	can	can	AUX
american_scientific_journal-3507	17	9	be	be	AUX
american_scientific_journal-3507	17	10	found	find	VERB
american_scientific_journal-3507	17	11	in	in	ADP
american_scientific_journal-3507	17	12	the	the	DET
american_scientific_journal-3507	17	13	soil	soil	NOUN
american_scientific_journal-3507	17	14	and	and	CCONJ
american_scientific_journal-3507	17	15	they	they	PRON
american_scientific_journal-3507	17	16	include	include	VERB
american_scientific_journal-3507	17	17	nutrients	nutrient	NOUN
american_scientific_journal-3507	17	18	,	,	PUNCT
american_scientific_journal-3507	17	19	salts	salt	NOUN
american_scientific_journal-3507	17	20	,	,	PUNCT
american_scientific_journal-3507	17	21	pesticides	pesticide	NOUN
american_scientific_journal-3507	17	22	,	,	PUNCT
american_scientific_journal-3507	17	23	naturally	naturally	ADV
american_scientific_journal-3507	17	24	occurring	occur	VERB
american_scientific_journal-3507	17	25	chemicals	chemical	NOUN
american_scientific_journal-3507	17	26	and	and	CCONJ
american_scientific_journal-3507	17	27	other	other	ADJ
american_scientific_journal-3507	17	28	applied	applied	ADJ
american_scientific_journal-3507	17	29	chemicals	chemical	NOUN
american_scientific_journal-3507	17	30	.	.	PUNCT
american_scientific_journal-3507	18	1	a	a	DET
american_scientific_journal-3507	18	2	lot	lot	NOUN
american_scientific_journal-3507	18	3	of	of	ADP
american_scientific_journal-3507	18	4	these	these	DET
american_scientific_journal-3507	18	5	solutes	solute	NOUN
american_scientific_journal-3507	18	6	are	be	AUX
american_scientific_journal-3507	18	7	of	of	ADP
american_scientific_journal-3507	18	8	great	great	ADJ
american_scientific_journal-3507	18	9	benefit	benefit	NOUN
american_scientific_journal-3507	18	10	as	as	SCONJ
american_scientific_journal-3507	18	11	they	they	PRON
american_scientific_journal-3507	18	12	give	give	VERB
american_scientific_journal-3507	18	13	plants	plant	NOUN
american_scientific_journal-3507	18	14	and	and	CCONJ
american_scientific_journal-3507	18	15	soil	soil	NOUN
american_scientific_journal-3507	18	16	organisms	organism	NOUN
american_scientific_journal-3507	18	17	’	'	PUNCT
american_scientific_journal-3507	18	18	food	food	NOUN
american_scientific_journal-3507	18	19	and	and	CCONJ
american_scientific_journal-3507	18	20	protection	protection	NOUN
american_scientific_journal-3507	18	21	against	against	ADP
american_scientific_journal-3507	18	22	diseases	disease	NOUN
american_scientific_journal-3507	18	23	.	.	PUNCT
american_scientific_journal-3507	19	1	however	however	ADV
american_scientific_journal-3507	19	2	,	,	PUNCT
american_scientific_journal-3507	19	3	when	when	SCONJ
american_scientific_journal-3507	19	4	these	these	DET
american_scientific_journal-3507	19	5	solutes	solute	NOUN
american_scientific_journal-3507	19	6	move	move	VERB
american_scientific_journal-3507	19	7	out	out	ADP
american_scientific_journal-3507	19	8	of	of	ADP
american_scientific_journal-3507	19	9	their	their	PRON
american_scientific_journal-3507	19	10	desired	desire	VERB
american_scientific_journal-3507	19	11	zones	zone	NOUN
american_scientific_journal-3507	19	12	in	in	ADP
american_scientific_journal-3507	19	13	the	the	DET
american_scientific_journal-3507	19	14	soil	soil	NOUN
american_scientific_journal-3507	19	15	into	into	ADP
american_scientific_journal-3507	19	16	ground	ground	NOUN
american_scientific_journal-3507	19	17	and	and	CCONJ
american_scientific_journal-3507	19	18	surface	surface	NOUN
american_scientific_journal-3507	19	19	water	water	NOUN
american_scientific_journal-3507	19	20	sources	source	NOUN
american_scientific_journal-3507	19	21	,	,	PUNCT
american_scientific_journal-3507	19	22	they	they	PRON
american_scientific_journal-3507	19	23	can	can	AUX
american_scientific_journal-3507	19	24	cause	cause	VERB
american_scientific_journal-3507	19	25	a	a	DET
american_scientific_journal-3507	19	26	substantial	substantial	ADJ
american_scientific_journal-3507	19	27	agronomic	agronomic	ADJ
american_scientific_journal-3507	19	28	,	,	PUNCT
american_scientific_journal-3507	19	29	environmental	environmental	ADJ
american_scientific_journal-3507	19	30	,	,	PUNCT
american_scientific_journal-3507	19	31	economic	economic	ADJ
american_scientific_journal-3507	19	32	consequences	consequence	NOUN
american_scientific_journal-3507	19	33	[	[	X
american_scientific_journal-3507	19	34	1	1	NUM
american_scientific_journal-3507	19	35	]	]	PUNCT
american_scientific_journal-3507	19	36	.	.	PUNCT
american_scientific_journal-3507	20	1	huge	huge	ADJ
american_scientific_journal-3507	20	2	cost	cost	NOUN
american_scientific_journal-3507	20	3	are	be	AUX
american_scientific_journal-3507	20	4	usually	usually	ADV
american_scientific_journal-3507	20	5	associated	associate	VERB
american_scientific_journal-3507	20	6	with	with	ADP
american_scientific_journal-3507	20	7	solutes	solute	NOUN
american_scientific_journal-3507	20	8	that	that	PRON
american_scientific_journal-3507	20	9	move	move	VERB
american_scientific_journal-3507	20	10	off	off	ADP
american_scientific_journal-3507	20	11	site	site	NOUN
american_scientific_journal-3507	20	12	as	as	ADP
american_scientific_journal-3507	20	13	a	a	DET
american_scientific_journal-3507	20	14	result	result	NOUN
american_scientific_journal-3507	20	15	of	of	ADP
american_scientific_journal-3507	20	16	over	over	ADP
american_scientific_journal-3507	20	17	application	application	NOUN
american_scientific_journal-3507	20	18	of	of	ADP
american_scientific_journal-3507	20	19	agrichemicals	agrichemical	NOUN
american_scientific_journal-3507	20	20	,	,	PUNCT
american_scientific_journal-3507	20	21	ineffective	ineffective	ADJ
american_scientific_journal-3507	20	22	treatment	treatment	NOUN
american_scientific_journal-3507	20	23	of	of	ADP
american_scientific_journal-3507	20	24	targeted	target	VERB
american_scientific_journal-3507	20	25	pests	pest	NOUN
american_scientific_journal-3507	20	26	(	(	PUNCT
american_scientific_journal-3507	20	27	weeds	weed	NOUN
american_scientific_journal-3507	20	28	,	,	PUNCT
american_scientific_journal-3507	20	29	insects	insect	NOUN
american_scientific_journal-3507	20	30	or	or	CCONJ
american_scientific_journal-3507	20	31	diseases	disease	NOUN
american_scientific_journal-3507	20	32	)	)	PUNCT
american_scientific_journal-3507	20	33	or	or	CCONJ
american_scientific_journal-3507	20	34	the	the	DET
american_scientific_journal-3507	20	35	remediation	remediation	NOUN
american_scientific_journal-3507	20	36	of	of	ADP
american_scientific_journal-3507	20	37	contaminated	contaminate	VERB
american_scientific_journal-3507	20	38	water	water	NOUN
american_scientific_journal-3507	20	39	sources	source	NOUN
american_scientific_journal-3507	20	40	[	[	X
american_scientific_journal-3507	20	41	2	2	NUM
american_scientific_journal-3507	20	42	]	]	PUNCT
american_scientific_journal-3507	20	43	.	.	PUNCT
american_scientific_journal-3507	21	1	hence	hence	ADV
american_scientific_journal-3507	21	2	,	,	PUNCT
american_scientific_journal-3507	21	3	knowledge	knowledge	NOUN
american_scientific_journal-3507	21	4	and	and	CCONJ
american_scientific_journal-3507	21	5	understanding	understanding	NOUN
american_scientific_journal-3507	21	6	of	of	ADP
american_scientific_journal-3507	21	7	solute	solute	ADJ
american_scientific_journal-3507	21	8	transport	transport	NOUN
american_scientific_journal-3507	21	9	in	in	ADP
american_scientific_journal-3507	21	10	soil	soil	NOUN
american_scientific_journal-3507	21	11	and	and	CCONJ
american_scientific_journal-3507	21	12	how	how	SCONJ
american_scientific_journal-3507	21	13	to	to	PART
american_scientific_journal-3507	21	14	minimize	minimize	VERB
american_scientific_journal-3507	21	15	off	off	ADP
american_scientific_journal-3507	21	16	-	-	PUNCT
american_scientific_journal-3507	21	17	site	site	NOUN
american_scientific_journal-3507	21	18	contamination	contamination	NOUN
american_scientific_journal-3507	21	19	is	be	AUX
american_scientific_journal-3507	21	20	required	require	VERB
american_scientific_journal-3507	21	21	to	to	PART
american_scientific_journal-3507	21	22	be	be	AUX
american_scientific_journal-3507	21	23	able	able	ADJ
american_scientific_journal-3507	21	24	to	to	PART
american_scientific_journal-3507	21	25	effectively	effectively	ADV
american_scientific_journal-3507	21	26	use	use	VERB
american_scientific_journal-3507	21	27	chemicals	chemical	NOUN
american_scientific_journal-3507	21	28	and	and	CCONJ
american_scientific_journal-3507	21	29	protect	protect	VERB
american_scientific_journal-3507	21	30	the	the	DET
american_scientific_journal-3507	21	31	quality	quality	NOUN
american_scientific_journal-3507	21	32	of	of	ADP
american_scientific_journal-3507	21	33	water	water	NOUN
american_scientific_journal-3507	21	34	resources	resource	NOUN
american_scientific_journal-3507	21	35	.	.	PUNCT
american_scientific_journal-3507	22	1	studying	study	VERB
american_scientific_journal-3507	22	2	transport	transport	NOUN
american_scientific_journal-3507	22	3	of	of	ADP
american_scientific_journal-3507	22	4	solute	solute	NOUN
american_scientific_journal-3507	22	5	in	in	ADP
american_scientific_journal-3507	22	6	soils	soils	PROPN
american_scientific_journal-3507	22	7	is	be	AUX
american_scientific_journal-3507	22	8	necessary	necessary	ADJ
american_scientific_journal-3507	22	9	to	to	ADP
american_scientific_journal-3507	22	10	improving	improve	VERB
american_scientific_journal-3507	22	11	crop	crop	NOUN
american_scientific_journal-3507	22	12	production	production	NOUN
american_scientific_journal-3507	22	13	and	and	CCONJ
american_scientific_journal-3507	22	14	assessing	assess	VERB
american_scientific_journal-3507	22	15	its	its	PRON
american_scientific_journal-3507	22	16	impact	impact	NOUN
american_scientific_journal-3507	22	17	on	on	ADP
american_scientific_journal-3507	22	18	the	the	DET
american_scientific_journal-3507	22	19	environment	environment	NOUN
american_scientific_journal-3507	23	1	[	[	X
american_scientific_journal-3507	23	2	3	3	NUM
american_scientific_journal-3507	23	3	]	]	PUNCT
american_scientific_journal-3507	23	4	.	.	PUNCT
american_scientific_journal-3507	24	1	mathematical	mathematical	ADJ
american_scientific_journal-3507	24	2	models	model	NOUN
american_scientific_journal-3507	24	3	are	be	AUX
american_scientific_journal-3507	24	4	critical	critical	ADJ
american_scientific_journal-3507	24	5	for	for	ADP
american_scientific_journal-3507	24	6	any	any	DET
american_scientific_journal-3507	24	7	attempt	attempt	NOUN
american_scientific_journal-3507	24	8	to	to	PART
american_scientific_journal-3507	24	9	effectively	effectively	ADV
american_scientific_journal-3507	24	10	understand	understand	VERB
american_scientific_journal-3507	24	11	and	and	CCONJ
american_scientific_journal-3507	24	12	estimate	estimate	VERB
american_scientific_journal-3507	24	13	site	site	NOUN
american_scientific_journal-3507	24	14	specific	specific	ADJ
american_scientific_journal-3507	24	15	subsurface	subsurface	NOUN
american_scientific_journal-3507	24	16	water	water	NOUN
american_scientific_journal-3507	24	17	flow	flow	NOUN
american_scientific_journal-3507	24	18	and	and	CCONJ
american_scientific_journal-3507	24	19	solute	solute	VERB
american_scientific_journal-3507	24	20	transport	transport	NOUN
american_scientific_journal-3507	24	21	processes	process	NOUN
american_scientific_journal-3507	24	22	.	.	PUNCT
american_scientific_journal-3507	25	1	mathematical	mathematical	ADJ
american_scientific_journal-3507	25	2	modelling	modelling	NOUN
american_scientific_journal-3507	25	3	helps	help	VERB
american_scientific_journal-3507	25	4	to	to	PART
american_scientific_journal-3507	25	5	analyze	analyze	VERB
american_scientific_journal-3507	25	6	the	the	DET
american_scientific_journal-3507	25	7	existing	exist	VERB
american_scientific_journal-3507	25	8	situation	situation	NOUN
american_scientific_journal-3507	25	9	,	,	PUNCT
american_scientific_journal-3507	25	10	allows	allow	VERB
american_scientific_journal-3507	25	11	forecasting	forecasting	NOUN
american_scientific_journal-3507	25	12	,	,	PUNCT
american_scientific_journal-3507	25	13	and	and	CCONJ
american_scientific_journal-3507	25	14	to	to	PART
american_scientific_journal-3507	25	15	evaluate	evaluate	VERB
american_scientific_journal-3507	25	16	the	the	DET
american_scientific_journal-3507	25	17	effects	effect	NOUN
american_scientific_journal-3507	25	18	of	of	ADP
american_scientific_journal-3507	25	19	nutrients	nutrient	NOUN
american_scientific_journal-3507	25	20	transport	transport	NOUN
american_scientific_journal-3507	25	21	on	on	ADP
american_scientific_journal-3507	25	22	surrounding	surround	VERB
american_scientific_journal-3507	25	23	water	water	NOUN
american_scientific_journal-3507	25	24	quality	quality	NOUN
american_scientific_journal-3507	25	25	.	.	PUNCT
american_scientific_journal-3507	26	1	models	model	NOUN
american_scientific_journal-3507	26	2	are	be	AUX
american_scientific_journal-3507	26	3	helpful	helpful	ADJ
american_scientific_journal-3507	26	4	tools	tool	NOUN
american_scientific_journal-3507	26	5	for	for	ADP
american_scientific_journal-3507	26	6	designing	designing	NOUN
american_scientific_journal-3507	26	7	,	,	PUNCT
american_scientific_journal-3507	26	8	testing	testing	NOUN
american_scientific_journal-3507	26	9	and	and	CCONJ
american_scientific_journal-3507	26	10	implementing	implement	VERB
american_scientific_journal-3507	26	11	soil	soil	NOUN
american_scientific_journal-3507	26	12	,	,	PUNCT
american_scientific_journal-3507	26	13	water	water	NOUN
american_scientific_journal-3507	26	14	,	,	PUNCT
american_scientific_journal-3507	26	15	and	and	CCONJ
american_scientific_journal-3507	26	16	crop	crop	NOUN
american_scientific_journal-3507	26	17	management	management	NOUN
american_scientific_journal-3507	26	18	practices	practice	NOUN
american_scientific_journal-3507	26	19	that	that	PRON
american_scientific_journal-3507	26	20	minimize	minimize	VERB
american_scientific_journal-3507	26	21	soil	soil	NOUN
american_scientific_journal-3507	26	22	and	and	CCONJ
american_scientific_journal-3507	26	23	water	water	NOUN
american_scientific_journal-3507	26	24	pollution	pollution	NOUN
american_scientific_journal-3507	26	25	[	[	X
american_scientific_journal-3507	26	26	4	4	NUM
american_scientific_journal-3507	26	27	]	]	PUNCT
american_scientific_journal-3507	26	28	.	.	PUNCT
american_scientific_journal-3507	27	1	there	there	PRON
american_scientific_journal-3507	27	2	are	be	VERB
american_scientific_journal-3507	27	3	two	two	NUM
american_scientific_journal-3507	27	4	methods	method	NOUN
american_scientific_journal-3507	27	5	to	to	PART
american_scientific_journal-3507	27	6	mathematically	mathematically	ADV
american_scientific_journal-3507	27	7	model	model	VERB
american_scientific_journal-3507	27	8	a	a	DET
american_scientific_journal-3507	27	9	system	system	NOUN
american_scientific_journal-3507	27	10	and	and	CCONJ
american_scientific_journal-3507	27	11	these	these	PRON
american_scientific_journal-3507	27	12	are	be	AUX
american_scientific_journal-3507	27	13	analytical	analytical	ADJ
american_scientific_journal-3507	27	14	methods	method	NOUN
american_scientific_journal-3507	27	15	and	and	CCONJ
american_scientific_journal-3507	27	16	numerical	numerical	ADJ
american_scientific_journal-3507	27	17	methods	method	NOUN
american_scientific_journal-3507	27	18	.	.	PUNCT
american_scientific_journal-3507	28	1	the	the	DET
american_scientific_journal-3507	28	2	analytical	analytical	ADJ
american_scientific_journal-3507	28	3	methods	method	NOUN
american_scientific_journal-3507	28	4	provide	provide	VERB
american_scientific_journal-3507	28	5	exact	exact	ADJ
american_scientific_journal-3507	28	6	solution	solution	NOUN
american_scientific_journal-3507	28	7	to	to	ADP
american_scientific_journal-3507	28	8	mathematical	mathematical	ADJ
american_scientific_journal-3507	28	9	problems	problem	NOUN
american_scientific_journal-3507	28	10	,	,	PUNCT
american_scientific_journal-3507	28	11	however	however	ADV
american_scientific_journal-3507	28	12	,	,	PUNCT
american_scientific_journal-3507	28	13	analytical	analytical	ADJ
american_scientific_journal-3507	28	14	methods	method	NOUN
american_scientific_journal-3507	28	15	can	can	AUX
american_scientific_journal-3507	28	16	not	not	PART
american_scientific_journal-3507	28	17	be	be	AUX
american_scientific_journal-3507	28	18	used	use	VERB
american_scientific_journal-3507	28	19	to	to	PART
american_scientific_journal-3507	28	20	model	model	VERB
american_scientific_journal-3507	28	21	complex	complex	ADJ
american_scientific_journal-3507	28	22	situations	situation	NOUN
american_scientific_journal-3507	28	23	.	.	PUNCT
american_scientific_journal-3507	29	1	the	the	DET
american_scientific_journal-3507	29	2	numerical	numerical	ADJ
american_scientific_journal-3507	29	3	methods	method	NOUN
american_scientific_journal-3507	29	4	provide	provide	VERB
american_scientific_journal-3507	29	5	approximate	approximate	ADJ
american_scientific_journal-3507	29	6	solution	solution	NOUN
american_scientific_journal-3507	29	7	to	to	ADP
american_scientific_journal-3507	29	8	mathematical	mathematical	ADJ
american_scientific_journal-3507	29	9	problems	problem	NOUN
american_scientific_journal-3507	29	10	but	but	CCONJ
american_scientific_journal-3507	29	11	they	they	PRON
american_scientific_journal-3507	29	12	can	can	AUX
american_scientific_journal-3507	29	13	be	be	AUX
american_scientific_journal-3507	29	14	used	use	VERB
american_scientific_journal-3507	29	15	to	to	PART
american_scientific_journal-3507	29	16	model	model	VERB
american_scientific_journal-3507	29	17	very	very	ADV
american_scientific_journal-3507	29	18	complex	complex	ADJ
american_scientific_journal-3507	29	19	situations	situation	NOUN
american_scientific_journal-3507	29	20	.	.	PUNCT
american_scientific_journal-3507	30	1	soil	soil	NOUN
american_scientific_journal-3507	30	2	is	be	AUX
american_scientific_journal-3507	30	3	a	a	DET
american_scientific_journal-3507	30	4	heterogeneous	heterogeneous	ADJ
american_scientific_journal-3507	30	5	medium	medium	NOUN
american_scientific_journal-3507	30	6	and	and	CCONJ
american_scientific_journal-3507	30	7	hence	hence	ADV
american_scientific_journal-3507	30	8	transport	transport	VERB
american_scientific_journal-3507	30	9	phenomena	phenomenon	NOUN
american_scientific_journal-3507	30	10	within	within	ADP
american_scientific_journal-3507	30	11	it	it	PRON
american_scientific_journal-3507	30	12	is	be	AUX
american_scientific_journal-3507	30	13	very	very	ADV
american_scientific_journal-3507	30	14	complex	complex	ADJ
american_scientific_journal-3507	30	15	,	,	PUNCT
american_scientific_journal-3507	30	16	as	as	ADP
american_scientific_journal-3507	30	17	a	a	DET
american_scientific_journal-3507	30	18	result	result	NOUN
american_scientific_journal-3507	30	19	only	only	ADV
american_scientific_journal-3507	30	20	numerical	numerical	ADJ
american_scientific_journal-3507	30	21	approach	approach	NOUN
american_scientific_journal-3507	30	22	can	can	AUX
american_scientific_journal-3507	30	23	be	be	AUX
american_scientific_journal-3507	30	24	used	use	VERB
american_scientific_journal-3507	30	25	to	to	PART
american_scientific_journal-3507	30	26	model	model	VERB
american_scientific_journal-3507	30	27	solute	solute	NOUN
american_scientific_journal-3507	30	28	transport	transport	NOUN
american_scientific_journal-3507	30	29	within	within	ADP
american_scientific_journal-3507	30	30	the	the	DET
american_scientific_journal-3507	30	31	soil	soil	NOUN
american_scientific_journal-3507	30	32	without	without	ADP
american_scientific_journal-3507	30	33	oversimplifying	oversimplify	VERB
american_scientific_journal-3507	30	34	the	the	DET
american_scientific_journal-3507	30	35	soil	soil	NOUN
american_scientific_journal-3507	30	36	medium	medium	NOUN
american_scientific_journal-3507	30	37	.	.	PUNCT
american_scientific_journal-3507	31	1	since	since	SCONJ
american_scientific_journal-3507	31	2	numerical	numerical	ADJ
american_scientific_journal-3507	31	3	approach	approach	NOUN
american_scientific_journal-3507	31	4	provides	provide	VERB
american_scientific_journal-3507	31	5	approximate	approximate	ADJ
american_scientific_journal-3507	31	6	solution	solution	NOUN
american_scientific_journal-3507	31	7	,	,	PUNCT
american_scientific_journal-3507	31	8	this	this	DET
american_scientific_journal-3507	31	9	paper	paper	NOUN
american_scientific_journal-3507	31	10	assessed	assess	VERB
american_scientific_journal-3507	31	11	the	the	DET
american_scientific_journal-3507	31	12	margin	margin	NOUN
american_scientific_journal-3507	31	13	of	of	ADP
american_scientific_journal-3507	31	14	error	error	NOUN
american_scientific_journal-3507	31	15	of	of	ADP
american_scientific_journal-3507	31	16	finite	finite	ADJ
american_scientific_journal-3507	31	17	difference	difference	NOUN
american_scientific_journal-3507	31	18	numerical	numerical	ADJ
american_scientific_journal-3507	31	19	method	method	NOUN
american_scientific_journal-3507	31	20	as	as	SCONJ
american_scientific_journal-3507	31	21	compared	compare	VERB
american_scientific_journal-3507	31	22	with	with	ADP
american_scientific_journal-3507	31	23	laplace	laplace	NOUN
american_scientific_journal-3507	31	24	transform	transform	VERB
american_scientific_journal-3507	31	25	analytical	analytical	ADJ
american_scientific_journal-3507	31	26	methods	method	NOUN
american_scientific_journal-3507	31	27	when	when	SCONJ
american_scientific_journal-3507	31	28	both	both	DET
american_scientific_journal-3507	31	29	approaches	approach	NOUN
american_scientific_journal-3507	31	30	are	be	AUX
american_scientific_journal-3507	31	31	used	use	VERB
american_scientific_journal-3507	31	32	to	to	PART
american_scientific_journal-3507	31	33	model	model	VERB
american_scientific_journal-3507	31	34	nitrate	nitrate	NOUN
american_scientific_journal-3507	31	35	solute	solute	NOUN
american_scientific_journal-3507	31	36	transport	transport	NOUN
american_scientific_journal-3507	31	37	in	in	ADP
american_scientific_journal-3507	31	38	a	a	DET
american_scientific_journal-3507	31	39	simplified	simplified	ADJ
american_scientific_journal-3507	31	40	homogeneous	homogeneous	ADJ
american_scientific_journal-3507	31	41	soil	soil	NOUN
american_scientific_journal-3507	31	42	.	.	PUNCT
american_scientific_journal-3507	32	1	1.1	1.1	NUM
american_scientific_journal-3507	32	2	laplace	laplace	NOUN
american_scientific_journal-3507	32	3	transform	transform	VERB
american_scientific_journal-3507	32	4	analytical	analytical	ADJ
american_scientific_journal-3507	32	5	method	method	NOUN
american_scientific_journal-3507	32	6	laplace	laplace	NOUN
american_scientific_journal-3507	32	7	transform	transform	NOUN
american_scientific_journal-3507	32	8	method	method	NOUN
american_scientific_journal-3507	32	9	uses	use	VERB
american_scientific_journal-3507	32	10	algebra	algebra	NOUN
american_scientific_journal-3507	32	11	to	to	PART
american_scientific_journal-3507	32	12	solve	solve	VERB
american_scientific_journal-3507	32	13	differential	differential	ADJ
american_scientific_journal-3507	32	14	equations	equation	NOUN
american_scientific_journal-3507	32	15	.	.	PUNCT
american_scientific_journal-3507	33	1	the	the	DET
american_scientific_journal-3507	33	2	laplace	laplace	NOUN
american_scientific_journal-3507	33	3	transform	transform	NOUN
american_scientific_journal-3507	33	4	is	be	AUX
american_scientific_journal-3507	33	5	defined	define	VERB
american_scientific_journal-3507	33	6	by	by	ADP
american_scientific_journal-3507	33	7	:	:	PUNCT
american_scientific_journal-3507	33	8	ℒ[𝑓𝑓(𝑡𝑡)](𝑠𝑠	ℒ[𝑓𝑓(𝑡𝑡)](𝑠𝑠	NUM
american_scientific_journal-3507	33	9	)	)	PUNCT
american_scientific_journal-3507	33	10	≡	≡	PROPN
american_scientific_journal-3507	33	11	∫	∫	PROPN
american_scientific_journal-3507	33	12	𝑓𝑓(𝑡𝑡)𝑒𝑒−𝑠𝑠𝑠𝑠∞	𝑓𝑓(𝑡𝑡)𝑒𝑒−𝑠𝑠𝑠𝑠∞	PROPN
american_scientific_journal-3507	33	13	0	0	NUM
american_scientific_journal-3507	33	14	𝑑𝑑𝑡𝑡	𝑑𝑑𝑡𝑡	NOUN
american_scientific_journal-3507	33	15	…	…	SYM
american_scientific_journal-3507	33	16	…	…	SYM
american_scientific_journal-3507	33	17	…	…	PUNCT
american_scientific_journal-3507	33	18	…	…	PUNCT
american_scientific_journal-3507	33	19	…	…	PUNCT
american_scientific_journal-3507	33	20	…	…	PUNCT
american_scientific_journal-3507	33	21	…	…	PUNCT
american_scientific_journal-3507	33	22	…	…	PUNCT
american_scientific_journal-3507	33	23	…	…	PUNCT
american_scientific_journal-3507	33	24	…	…	PUNCT
american_scientific_journal-3507	33	25	…	…	PUNCT
american_scientific_journal-3507	33	26	…	…	PUNCT
american_scientific_journal-3507	33	27	…	…	PUNCT
american_scientific_journal-3507	33	28	…	…	PUNCT
american_scientific_journal-3507	33	29	…	…	PUNCT
american_scientific_journal-3507	33	30	…	…	PUNCT
american_scientific_journal-3507	33	31	…	…	PUNCT
american_scientific_journal-3507	33	32	…	…	PUNCT
american_scientific_journal-3507	33	33	…	…	PUNCT
american_scientific_journal-3507	33	34	…	…	PUNCT
american_scientific_journal-3507	33	35	…	…	PUNCT
american_scientific_journal-3507	33	36	…	…	PUNCT
american_scientific_journal-3507	33	37	…	…	PUNCT
american_scientific_journal-3507	33	38	...	...	PUNCT
american_scientific_journal-3507	33	39	1.1	1.1	NUM
american_scientific_journal-3507	33	40	where	where	SCONJ
american_scientific_journal-3507	33	41	𝑓𝑓(𝑡𝑡	𝑓𝑓(𝑡𝑡	NOUN
american_scientific_journal-3507	33	42	)	)	PUNCT
american_scientific_journal-3507	33	43	is	be	AUX
american_scientific_journal-3507	33	44	defined	define	VERB
american_scientific_journal-3507	33	45	for	for	ADP
american_scientific_journal-3507	33	46	𝑡𝑡	𝑡𝑡	PROPN
american_scientific_journal-3507	33	47	≥	≥	NOUN
american_scientific_journal-3507	33	48	0	0	PUNCT
american_scientific_journal-3507	34	1	[	[	X
american_scientific_journal-3507	34	2	5	5	NUM
american_scientific_journal-3507	34	3	]	]	PUNCT
american_scientific_journal-3507	34	4	laplace	laplace	NOUN
american_scientific_journal-3507	34	5	transforms	transform	NOUN
american_scientific_journal-3507	34	6	are	be	AUX
american_scientific_journal-3507	34	7	used	use	VERB
american_scientific_journal-3507	34	8	to	to	PART
american_scientific_journal-3507	34	9	simplify	simplify	VERB
american_scientific_journal-3507	34	10	the	the	DET
american_scientific_journal-3507	34	11	governing	govern	VERB
american_scientific_journal-3507	34	12	equations	equation	NOUN
american_scientific_journal-3507	34	13	for	for	ADP
american_scientific_journal-3507	34	14	solute	solute	NOUN
american_scientific_journal-3507	34	15	transport	transport	NOUN
american_scientific_journal-3507	34	16	.	.	PUNCT
american_scientific_journal-3507	35	1	the	the	DET
american_scientific_journal-3507	35	2	transform	transform	NOUN
american_scientific_journal-3507	35	3	eliminate	eliminate	VERB
american_scientific_journal-3507	35	4	american	american	ADJ
american_scientific_journal-3507	35	5	scientific	scientific	ADJ
american_scientific_journal-3507	35	6	research	research	NOUN
american_scientific_journal-3507	35	7	journal	journal	NOUN
american_scientific_journal-3507	35	8	for	for	ADP
american_scientific_journal-3507	35	9	engineering	engineering	NOUN
american_scientific_journal-3507	35	10	,	,	PUNCT
american_scientific_journal-3507	35	11	technology	technology	NOUN
american_scientific_journal-3507	35	12	,	,	PUNCT
american_scientific_journal-3507	35	13	and	and	CCONJ
american_scientific_journal-3507	35	14	sciences	science	NOUN
american_scientific_journal-3507	35	15	(	(	PUNCT
american_scientific_journal-3507	35	16	asrjets	asrjet	NOUN
american_scientific_journal-3507	35	17	)	)	PUNCT
american_scientific_journal-3507	35	18	(	(	PUNCT
american_scientific_journal-3507	35	19	2017	2017	NUM
american_scientific_journal-3507	35	20	)	)	PUNCT
american_scientific_journal-3507	35	21	volume	volume	NOUN
american_scientific_journal-3507	35	22	38	38	NUM
american_scientific_journal-3507	35	23	,	,	PUNCT
american_scientific_journal-3507	35	24	no	no	DET
american_scientific_journal-3507	35	25	1	1	NUM
american_scientific_journal-3507	35	26	,	,	PUNCT
american_scientific_journal-3507	35	27	pp	pp	ADV
american_scientific_journal-3507	35	28	235	235	NUM
american_scientific_journal-3507	35	29	-	-	SYM
american_scientific_journal-3507	35	30	249	249	NUM
american_scientific_journal-3507	35	31	237	237	NUM
american_scientific_journal-3507	35	32	one	one	NUM
american_scientific_journal-3507	35	33	independent	independent	ADJ
american_scientific_journal-3507	35	34	variable	variable	NOUN
american_scientific_journal-3507	35	35	,	,	PUNCT
american_scientific_journal-3507	35	36	usually	usually	ADV
american_scientific_journal-3507	35	37	time	time	NOUN
american_scientific_journal-3507	35	38	,	,	PUNCT
american_scientific_journal-3507	35	39	and	and	CCONJ
american_scientific_journal-3507	35	40	also	also	ADV
american_scientific_journal-3507	35	41	convert	convert	VERB
american_scientific_journal-3507	35	42	the	the	DET
american_scientific_journal-3507	35	43	original	original	ADJ
american_scientific_journal-3507	35	44	transport	transport	NOUN
american_scientific_journal-3507	35	45	equation	equation	NOUN
american_scientific_journal-3507	35	46	from	from	ADP
american_scientific_journal-3507	35	47	a	a	DET
american_scientific_journal-3507	35	48	partial	partial	NOUN
american_scientific_journal-3507	35	49	to	to	ADP
american_scientific_journal-3507	35	50	an	an	DET
american_scientific_journal-3507	35	51	ordinary	ordinary	ADJ
american_scientific_journal-3507	35	52	differential	differential	ADJ
american_scientific_journal-3507	35	53	equation	equation	NOUN
american_scientific_journal-3507	35	54	.	.	PUNCT
american_scientific_journal-3507	36	1	a	a	DET
american_scientific_journal-3507	36	2	governing	govern	VERB
american_scientific_journal-3507	36	3	convection	convection	NOUN
american_scientific_journal-3507	36	4	dispersion	dispersion	NOUN
american_scientific_journal-3507	36	5	equation	equation	NOUN
american_scientific_journal-3507	36	6	(	(	PUNCT
american_scientific_journal-3507	36	7	cde	cde	PROPN
american_scientific_journal-3507	36	8	)	)	PUNCT
american_scientific_journal-3507	36	9	in	in	ADP
american_scientific_journal-3507	36	10	the	the	DET
american_scientific_journal-3507	36	11	laplace	laplace	NOUN
american_scientific_journal-3507	36	12	domain	domain	NOUN
american_scientific_journal-3507	36	13	is	be	AUX
american_scientific_journal-3507	36	14	obtained	obtain	VERB
american_scientific_journal-3507	36	15	with	with	ADP
american_scientific_journal-3507	36	16	the	the	DET
american_scientific_journal-3507	36	17	laplace	laplace	NOUN
american_scientific_journal-3507	36	18	transform	transform	NOUN
american_scientific_journal-3507	36	19	and	and	CCONJ
american_scientific_journal-3507	36	20	the	the	DET
american_scientific_journal-3507	36	21	equation	equation	NOUN
american_scientific_journal-3507	36	22	in	in	ADP
american_scientific_journal-3507	36	23	this	this	DET
american_scientific_journal-3507	36	24	form	form	NOUN
american_scientific_journal-3507	36	25	is	be	AUX
american_scientific_journal-3507	36	26	much	much	ADV
american_scientific_journal-3507	36	27	simpler	simple	ADJ
american_scientific_journal-3507	36	28	to	to	PART
american_scientific_journal-3507	36	29	solve	solve	VERB
american_scientific_journal-3507	36	30	analytically	analytically	ADV
american_scientific_journal-3507	36	31	than	than	ADP
american_scientific_journal-3507	36	32	the	the	DET
american_scientific_journal-3507	36	33	original	original	ADJ
american_scientific_journal-3507	36	34	equation	equation	NOUN
american_scientific_journal-3507	36	35	.	.	PUNCT
american_scientific_journal-3507	37	1	the	the	DET
american_scientific_journal-3507	37	2	laplace	laplace	NOUN
american_scientific_journal-3507	37	3	transform	transform	NOUN
american_scientific_journal-3507	37	4	of	of	ADP
american_scientific_journal-3507	37	5	the	the	DET
american_scientific_journal-3507	37	6	solute	solute	ADJ
american_scientific_journal-3507	37	7	concentration	concentration	NOUN
american_scientific_journal-3507	37	8	with	with	ADP
american_scientific_journal-3507	37	9	respect	respect	NOUN
american_scientific_journal-3507	37	10	to	to	ADP
american_scientific_journal-3507	37	11	time	time	NOUN
american_scientific_journal-3507	37	12	is	be	AUX
american_scientific_journal-3507	37	13	defined	define	VERB
american_scientific_journal-3507	37	14	as	as	ADP
american_scientific_journal-3507	37	15	𝐿𝐿[𝑐𝑐(𝑧𝑧	𝐿𝐿[𝑐𝑐(𝑧𝑧	NOUN
american_scientific_journal-3507	37	16	,	,	PUNCT
american_scientific_journal-3507	37	17	𝑡𝑡	𝑡𝑡	NOUN
american_scientific_journal-3507	37	18	)	)	PUNCT
american_scientific_journal-3507	37	19	]	]	PUNCT
american_scientific_journal-3507	38	1	=	=	SYM
american_scientific_journal-3507	38	2	𝑐𝑐	𝑐𝑐	PROPN
american_scientific_journal-3507	38	3	�	�	PROPN
american_scientific_journal-3507	38	4	(	(	PUNCT
american_scientific_journal-3507	38	5	𝑧𝑧	𝑧𝑧	PROPN
american_scientific_journal-3507	38	6	,	,	PUNCT
american_scientific_journal-3507	38	7	𝑠𝑠	𝑠𝑠	PROPN
american_scientific_journal-3507	38	8	)	)	PUNCT
american_scientific_journal-3507	38	9	=	=	SYM
american_scientific_journal-3507	38	10	∫	∫	PROPN
american_scientific_journal-3507	38	11	𝑐𝑐(𝑧𝑧	𝑐𝑐(𝑧𝑧	PROPN
american_scientific_journal-3507	38	12	,	,	PUNCT
american_scientific_journal-3507	38	13	𝑡𝑡)𝑒𝑒−𝑠𝑠𝑠𝑠∞	𝑡𝑡)𝑒𝑒−𝑠𝑠𝑠𝑠∞	PROPN
american_scientific_journal-3507	38	14	0	0	NUM
american_scientific_journal-3507	38	15	𝑑𝑑𝑡𝑡	𝑑𝑑𝑡𝑡	NOUN
american_scientific_journal-3507	38	16	…	…	SYM
american_scientific_journal-3507	38	17	…	…	SYM
american_scientific_journal-3507	38	18	…	…	PUNCT
american_scientific_journal-3507	38	19	…	…	PUNCT
american_scientific_journal-3507	38	20	…	…	PUNCT
american_scientific_journal-3507	38	21	…	…	PUNCT
american_scientific_journal-3507	38	22	…	…	PUNCT
american_scientific_journal-3507	38	23	…	…	PUNCT
american_scientific_journal-3507	38	24	…	…	PUNCT
american_scientific_journal-3507	38	25	…	…	PUNCT
american_scientific_journal-3507	38	26	…	…	PUNCT
american_scientific_journal-3507	38	27	…	…	PUNCT
american_scientific_journal-3507	38	28	…	…	PUNCT
american_scientific_journal-3507	38	29	…	…	PUNCT
american_scientific_journal-3507	38	30	…	…	PUNCT
american_scientific_journal-3507	38	31	…	…	PUNCT
american_scientific_journal-3507	38	32	…	…	PUNCT
american_scientific_journal-3507	38	33	…	…	PUNCT
american_scientific_journal-3507	38	34	…	…	PUNCT
american_scientific_journal-3507	38	35	..	..	PUNCT
american_scientific_journal-3507	38	36	1.2	1.2	NUM
american_scientific_journal-3507	38	37	where	where	SCONJ
american_scientific_journal-3507	38	38	s	s	VERB
american_scientific_journal-3507	38	39	is	be	AUX
american_scientific_journal-3507	38	40	the	the	DET
american_scientific_journal-3507	38	41	laplace	laplace	NOUN
american_scientific_journal-3507	38	42	transform	transform	VERB
american_scientific_journal-3507	38	43	variable	variable	NOUN
american_scientific_journal-3507	38	44	.	.	PUNCT
american_scientific_journal-3507	39	1	analytical	analytical	ADJ
american_scientific_journal-3507	39	2	solution	solution	NOUN
american_scientific_journal-3507	39	3	in	in	ADP
american_scientific_journal-3507	39	4	the	the	DET
american_scientific_journal-3507	39	5	laplace	laplace	NOUN
american_scientific_journal-3507	39	6	space	space	NOUN
american_scientific_journal-3507	39	7	must	must	AUX
american_scientific_journal-3507	39	8	be	be	AUX
american_scientific_journal-3507	39	9	subsequently	subsequently	ADV
american_scientific_journal-3507	39	10	inverted	invert	VERB
american_scientific_journal-3507	39	11	to	to	ADP
american_scientific_journal-3507	39	12	the	the	DET
american_scientific_journal-3507	39	13	real	real	ADJ
american_scientific_journal-3507	39	14	space	space	NOUN
american_scientific_journal-3507	39	15	using	use	VERB
american_scientific_journal-3507	39	16	either	either	CCONJ
american_scientific_journal-3507	39	17	a	a	DET
american_scientific_journal-3507	39	18	table	table	NOUN
american_scientific_journal-3507	39	19	of	of	ADP
american_scientific_journal-3507	39	20	laplace	laplace	NOUN
american_scientific_journal-3507	39	21	transforms	transform	VERB
american_scientific_journal-3507	39	22	or	or	CCONJ
american_scientific_journal-3507	39	23	by	by	ADP
american_scientific_journal-3507	39	24	applying	apply	VERB
american_scientific_journal-3507	39	25	inversion	inversion	NOUN
american_scientific_journal-3507	39	26	theorems	theorem	NOUN
american_scientific_journal-3507	39	27	and	and	CCONJ
american_scientific_journal-3507	39	28	the	the	DET
american_scientific_journal-3507	39	29	solution	solution	NOUN
american_scientific_journal-3507	39	30	is	be	AUX
american_scientific_journal-3507	39	31	expressed	express	VERB
american_scientific_journal-3507	39	32	as	as	ADP
american_scientific_journal-3507	39	33	an	an	DET
american_scientific_journal-3507	39	34	error	error	NOUN
american_scientific_journal-3507	39	35	function	function	NOUN
american_scientific_journal-3507	39	36	or	or	CCONJ
american_scientific_journal-3507	39	37	complimentary	complimentary	ADJ
american_scientific_journal-3507	39	38	error	error	NOUN
american_scientific_journal-3507	39	39	function	function	NOUN
american_scientific_journal-3507	40	1	[	[	X
american_scientific_journal-3507	40	2	6	6	NUM
american_scientific_journal-3507	40	3	]	]	PUNCT
american_scientific_journal-3507	40	4	.	.	PUNCT
american_scientific_journal-3507	41	1	1.2	1.2	NUM
american_scientific_journal-3507	41	2	finite	finite	ADJ
american_scientific_journal-3507	41	3	difference	difference	NOUN
american_scientific_journal-3507	41	4	the	the	DET
american_scientific_journal-3507	41	5	finite	finite	ADJ
american_scientific_journal-3507	41	6	difference	difference	NOUN
american_scientific_journal-3507	41	7	method	method	NOUN
american_scientific_journal-3507	41	8	consists	consist	VERB
american_scientific_journal-3507	41	9	of	of	ADP
american_scientific_journal-3507	41	10	approximation	approximation	NOUN
american_scientific_journal-3507	41	11	of	of	ADP
american_scientific_journal-3507	41	12	the	the	DET
american_scientific_journal-3507	41	13	differential	differential	ADJ
american_scientific_journal-3507	41	14	operator	operator	NOUN
american_scientific_journal-3507	41	15	by	by	ADP
american_scientific_journal-3507	41	16	replacing	replace	VERB
american_scientific_journal-3507	41	17	the	the	DET
american_scientific_journal-3507	41	18	derivatives	derivative	NOUN
american_scientific_journal-3507	41	19	in	in	ADP
american_scientific_journal-3507	41	20	the	the	DET
american_scientific_journal-3507	41	21	equation	equation	NOUN
american_scientific_journal-3507	41	22	using	use	VERB
american_scientific_journal-3507	41	23	differential	differential	ADJ
american_scientific_journal-3507	41	24	quotients	quotient	NOUN
american_scientific_journal-3507	41	25	.	.	PUNCT
american_scientific_journal-3507	42	1	the	the	DET
american_scientific_journal-3507	42	2	domain	domain	NOUN
american_scientific_journal-3507	42	3	of	of	ADP
american_scientific_journal-3507	42	4	interest	interest	NOUN
american_scientific_journal-3507	42	5	is	be	AUX
american_scientific_journal-3507	42	6	partitioned	partition	VERB
american_scientific_journal-3507	42	7	in	in	ADP
american_scientific_journal-3507	42	8	space	space	NOUN
american_scientific_journal-3507	42	9	and	and	CCONJ
american_scientific_journal-3507	42	10	time	time	NOUN
american_scientific_journal-3507	42	11	,	,	PUNCT
american_scientific_journal-3507	42	12	and	and	CCONJ
american_scientific_journal-3507	42	13	approximate	approximate	ADJ
american_scientific_journal-3507	42	14	solutions	solution	NOUN
american_scientific_journal-3507	42	15	are	be	AUX
american_scientific_journal-3507	42	16	computed	compute	VERB
american_scientific_journal-3507	42	17	at	at	ADP
american_scientific_journal-3507	42	18	the	the	DET
american_scientific_journal-3507	42	19	space	space	NOUN
american_scientific_journal-3507	42	20	or	or	CCONJ
american_scientific_journal-3507	42	21	time	time	NOUN
american_scientific_journal-3507	42	22	points	point	NOUN
american_scientific_journal-3507	42	23	.	.	PUNCT
american_scientific_journal-3507	43	1	time	time	NOUN
american_scientific_journal-3507	43	2	and	and	CCONJ
american_scientific_journal-3507	43	3	space	space	NOUN
american_scientific_journal-3507	43	4	are	be	AUX
american_scientific_journal-3507	43	5	both	both	PRON
american_scientific_journal-3507	43	6	divided	divide	VERB
american_scientific_journal-3507	43	7	into	into	ADP
american_scientific_journal-3507	43	8	small	small	ADJ
american_scientific_journal-3507	43	9	increments	increment	NOUN
american_scientific_journal-3507	43	10	t∆	t∆	PROPN
american_scientific_journal-3507	43	11	and	and	CCONJ
american_scientific_journal-3507	43	12	z∆	z∆	NOUN
american_scientific_journal-3507	43	13	or	or	CCONJ
american_scientific_journal-3507	43	14	(	(	PUNCT
american_scientific_journal-3507	43	15	x∆	x∆	PROPN
american_scientific_journal-3507	43	16	and	and	CCONJ
american_scientific_journal-3507	43	17	z∆	z∆	NOUN
american_scientific_journal-3507	43	18	)	)	PUNCT
american_scientific_journal-3507	43	19	known	know	VERB
american_scientific_journal-3507	43	20	as	as	ADP
american_scientific_journal-3507	43	21	step	step	NOUN
american_scientific_journal-3507	43	22	size	size	NOUN
american_scientific_journal-3507	43	23	as	as	SCONJ
american_scientific_journal-3507	43	24	shown	show	VERB
american_scientific_journal-3507	43	25	in	in	ADP
american_scientific_journal-3507	43	26	figure	figure	NOUN
american_scientific_journal-3507	43	27	1.1	1.1	NUM
american_scientific_journal-3507	43	28	.	.	PUNCT
american_scientific_journal-3507	44	1	temporal	temporal	ADJ
american_scientific_journal-3507	44	2	and	and	CCONJ
american_scientific_journal-3507	44	3	spatial	spatial	ADJ
american_scientific_journal-3507	44	4	derivatives	derivative	NOUN
american_scientific_journal-3507	44	5	are	be	AUX
american_scientific_journal-3507	44	6	approximated	approximate	VERB
american_scientific_journal-3507	44	7	by	by	ADP
american_scientific_journal-3507	44	8	taylor	taylor	PROPN
american_scientific_journal-3507	44	9	series	series	PROPN
american_scientific_journal-3507	44	10	expansion	expansion	NOUN
american_scientific_journal-3507	44	11	.	.	PUNCT
american_scientific_journal-3507	45	1	the	the	DET
american_scientific_journal-3507	45	2	accuracy	accuracy	NOUN
american_scientific_journal-3507	45	3	of	of	ADP
american_scientific_journal-3507	45	4	the	the	DET
american_scientific_journal-3507	45	5	approximation	approximation	NOUN
american_scientific_journal-3507	45	6	is	be	AUX
american_scientific_journal-3507	45	7	determined	determine	VERB
american_scientific_journal-3507	45	8	by	by	ADP
american_scientific_journal-3507	45	9	the	the	DET
american_scientific_journal-3507	45	10	scheme	scheme	NOUN
american_scientific_journal-3507	45	11	selected	select	VERB
american_scientific_journal-3507	45	12	and	and	CCONJ
american_scientific_journal-3507	45	13	the	the	DET
american_scientific_journal-3507	45	14	mesh	mesh	NOUN
american_scientific_journal-3507	45	15	sizes	size	NOUN
american_scientific_journal-3507	45	16	of	of	ADP
american_scientific_journal-3507	45	17	the	the	DET
american_scientific_journal-3507	45	18	spatial	spatial	ADJ
american_scientific_journal-3507	45	19	and	and	CCONJ
american_scientific_journal-3507	45	20	temporal	temporal	ADJ
american_scientific_journal-3507	45	21	domains	domain	NOUN
american_scientific_journal-3507	45	22	[	[	X
american_scientific_journal-3507	45	23	6	6	NUM
american_scientific_journal-3507	45	24	]	]	PUNCT
american_scientific_journal-3507	45	25	.	.	PUNCT
american_scientific_journal-3507	46	1	figure	figure	VERB
american_scientific_journal-3507	46	2	1.1	1.1	NUM
american_scientific_journal-3507	46	3	:	:	PUNCT
american_scientific_journal-3507	46	4	spatial	spatial	ADJ
american_scientific_journal-3507	46	5	and	and	CCONJ
american_scientific_journal-3507	46	6	temporal	temporal	ADJ
american_scientific_journal-3507	46	7	finite	finite	ADJ
american_scientific_journal-3507	46	8	difference	difference	NOUN
american_scientific_journal-3507	46	9	discretization	discretization	NOUN
american_scientific_journal-3507	47	1	[	[	X
american_scientific_journal-3507	47	2	6	6	NUM
american_scientific_journal-3507	47	3	]	]	SYM
american_scientific_journal-3507	47	4	1.3	1.3	NUM
american_scientific_journal-3507	47	5	solute	solute	NOUN
american_scientific_journal-3507	47	6	transport	transport	NOUN
american_scientific_journal-3507	47	7	solute	solute	NOUN
american_scientific_journal-3507	47	8	transport	transport	NOUN
american_scientific_journal-3507	47	9	in	in	ADP
american_scientific_journal-3507	47	10	soil	soil	NOUN
american_scientific_journal-3507	47	11	results	result	NOUN
american_scientific_journal-3507	47	12	from	from	ADP
american_scientific_journal-3507	47	13	convection	convection	NOUN
american_scientific_journal-3507	47	14	of	of	ADP
american_scientific_journal-3507	47	15	the	the	DET
american_scientific_journal-3507	47	16	dissolved	dissolve	VERB
american_scientific_journal-3507	47	17	substances	substance	NOUN
american_scientific_journal-3507	47	18	,	,	PUNCT
american_scientific_journal-3507	47	19	molecular	molecular	ADJ
american_scientific_journal-3507	47	20	or	or	CCONJ
american_scientific_journal-3507	47	21	ionic	ionic	ADJ
american_scientific_journal-3507	47	22	diffusion	diffusion	NOUN
american_scientific_journal-3507	47	23	and	and	CCONJ
american_scientific_journal-3507	47	24	mechanical	mechanical	ADJ
american_scientific_journal-3507	47	25	dispersion	dispersion	NOUN
american_scientific_journal-3507	47	26	but	but	CCONJ
american_scientific_journal-3507	47	27	the	the	DET
american_scientific_journal-3507	47	28	transport	transport	NOUN
american_scientific_journal-3507	47	29	process	process	NOUN
american_scientific_journal-3507	47	30	is	be	AUX
american_scientific_journal-3507	47	31	generally	generally	ADV
american_scientific_journal-3507	47	32	assumed	assume	VERB
american_scientific_journal-3507	47	33	to	to	PART
american_scientific_journal-3507	47	34	be	be	AUX
american_scientific_journal-3507	47	35	convection	convection	NOUN
american_scientific_journal-3507	47	36	-	-	PUNCT
american_scientific_journal-3507	47	37	dominated	dominate	VERB
american_scientific_journal-3507	47	38	process	process	NOUN
american_scientific_journal-3507	47	39	.	.	PUNCT
american_scientific_journal-3507	48	1	other	other	ADJ
american_scientific_journal-3507	48	2	factors	factor	NOUN
american_scientific_journal-3507	48	3	including	include	VERB
american_scientific_journal-3507	48	4	soil	soil	NOUN
american_scientific_journal-3507	48	5	matrix	matrix	NOUN
american_scientific_journal-3507	48	6	-	-	PUNCT
american_scientific_journal-3507	48	7	solute	solute	NOUN
american_scientific_journal-3507	48	8	interaction	interaction	NOUN
american_scientific_journal-3507	48	9	and	and	CCONJ
american_scientific_journal-3507	48	10	decay	decay	NOUN
american_scientific_journal-3507	48	11	phenomena	phenomenon	NOUN
american_scientific_journal-3507	48	12	may	may	AUX
american_scientific_journal-3507	48	13	affect	affect	VERB
american_scientific_journal-3507	48	14	transport	transport	NOUN
american_scientific_journal-3507	48	15	of	of	ADP
american_scientific_journal-3507	48	16	solute	solute	NOUN
american_scientific_journal-3507	48	17	in	in	ADP
american_scientific_journal-3507	48	18	soils	soil	NOUN
american_scientific_journal-3507	48	19	.	.	PUNCT
american_scientific_journal-3507	49	1	1.3.1	1.3.1	NUM
american_scientific_journal-3507	49	2	convection	convection	NOUN
american_scientific_journal-3507	49	3	(	(	PUNCT
american_scientific_journal-3507	49	4	mass	mass	NOUN
american_scientific_journal-3507	49	5	)	)	PUNCT
american_scientific_journal-3507	49	6	flow	flow	NOUN
american_scientific_journal-3507	49	7	convection	convection	NOUN
american_scientific_journal-3507	49	8	is	be	AUX
american_scientific_journal-3507	49	9	passive	passive	ADJ
american_scientific_journal-3507	49	10	movement	movement	NOUN
american_scientific_journal-3507	49	11	of	of	ADP
american_scientific_journal-3507	49	12	dissolved	dissolve	VERB
american_scientific_journal-3507	49	13	constituents	constituent	NOUN
american_scientific_journal-3507	49	14	of	of	ADP
american_scientific_journal-3507	49	15	solute	solute	NOUN
american_scientific_journal-3507	49	16	with	with	ADP
american_scientific_journal-3507	49	17	water	water	NOUN
american_scientific_journal-3507	49	18	flowing	flow	VERB
american_scientific_journal-3507	49	19	through	through	ADP
american_scientific_journal-3507	49	20	the	the	DET
american_scientific_journal-3507	49	21	soil	soil	NOUN
american_scientific_journal-3507	49	22	,	,	PUNCT
american_scientific_journal-3507	49	23	american	american	ADJ
american_scientific_journal-3507	49	24	scientific	scientific	ADJ
american_scientific_journal-3507	49	25	research	research	NOUN
american_scientific_journal-3507	49	26	journal	journal	NOUN
american_scientific_journal-3507	49	27	for	for	ADP
american_scientific_journal-3507	49	28	engineering	engineering	NOUN
american_scientific_journal-3507	49	29	,	,	PUNCT
american_scientific_journal-3507	49	30	technology	technology	NOUN
american_scientific_journal-3507	49	31	,	,	PUNCT
american_scientific_journal-3507	49	32	and	and	CCONJ
american_scientific_journal-3507	49	33	sciences	science	NOUN
american_scientific_journal-3507	49	34	(	(	PUNCT
american_scientific_journal-3507	49	35	asrjets	asrjet	NOUN
american_scientific_journal-3507	49	36	)	)	PUNCT
american_scientific_journal-3507	49	37	(	(	PUNCT
american_scientific_journal-3507	49	38	2017	2017	NUM
american_scientific_journal-3507	49	39	)	)	PUNCT
american_scientific_journal-3507	49	40	volume	volume	NOUN
american_scientific_journal-3507	49	41	38	38	NUM
american_scientific_journal-3507	49	42	,	,	PUNCT
american_scientific_journal-3507	49	43	no	no	DET
american_scientific_journal-3507	49	44	1	1	NUM
american_scientific_journal-3507	49	45	,	,	PUNCT
american_scientific_journal-3507	49	46	pp	pp	ADV
american_scientific_journal-3507	49	47	235	235	NUM
american_scientific_journal-3507	49	48	-	-	SYM
american_scientific_journal-3507	49	49	249	249	NUM
american_scientific_journal-3507	49	50	238	238	NUM
american_scientific_journal-3507	49	51	whereby	whereby	SCONJ
american_scientific_journal-3507	49	52	solute	solute	VERB
american_scientific_journal-3507	49	53	and	and	CCONJ
american_scientific_journal-3507	49	54	the	the	DET
american_scientific_journal-3507	49	55	water	water	NOUN
american_scientific_journal-3507	49	56	move	move	NOUN
american_scientific_journal-3507	49	57	at	at	ADP
american_scientific_journal-3507	49	58	the	the	DET
american_scientific_journal-3507	49	59	same	same	ADJ
american_scientific_journal-3507	49	60	average	average	ADJ
american_scientific_journal-3507	49	61	rate	rate	NOUN
american_scientific_journal-3507	49	62	.	.	PUNCT
american_scientific_journal-3507	50	1	it	it	PRON
american_scientific_journal-3507	50	2	is	be	AUX
american_scientific_journal-3507	50	3	also	also	ADV
american_scientific_journal-3507	50	4	known	know	VERB
american_scientific_journal-3507	50	5	as	as	ADP
american_scientific_journal-3507	50	6	darcian	darcian	NOUN
american_scientific_journal-3507	50	7	flow	flow	NOUN
american_scientific_journal-3507	50	8	[	[	X
american_scientific_journal-3507	50	9	7	7	NUM
american_scientific_journal-3507	50	10	]	]	PUNCT
american_scientific_journal-3507	50	11	.	.	PUNCT
american_scientific_journal-3507	51	1	convection	convection	NOUN
american_scientific_journal-3507	51	2	describes	describe	VERB
american_scientific_journal-3507	51	3	the	the	DET
american_scientific_journal-3507	51	4	bulk	bulk	ADJ
american_scientific_journal-3507	51	5	movement	movement	NOUN
american_scientific_journal-3507	51	6	of	of	ADP
american_scientific_journal-3507	51	7	solute	solute	ADJ
american_scientific_journal-3507	51	8	particles	particle	NOUN
american_scientific_journal-3507	51	9	along	along	ADP
american_scientific_journal-3507	51	10	the	the	DET
american_scientific_journal-3507	51	11	mean	mean	ADJ
american_scientific_journal-3507	51	12	direction	direction	NOUN
american_scientific_journal-3507	51	13	of	of	ADP
american_scientific_journal-3507	51	14	fluid	fluid	ADJ
american_scientific_journal-3507	51	15	flow	flow	NOUN
american_scientific_journal-3507	51	16	at	at	ADP
american_scientific_journal-3507	51	17	a	a	DET
american_scientific_journal-3507	51	18	rate	rate	NOUN
american_scientific_journal-3507	51	19	equal	equal	ADJ
american_scientific_journal-3507	51	20	to	to	ADP
american_scientific_journal-3507	51	21	the	the	DET
american_scientific_journal-3507	51	22	average	average	ADJ
american_scientific_journal-3507	51	23	interstitial	interstitial	ADJ
american_scientific_journal-3507	51	24	fluid	fluid	NOUN
american_scientific_journal-3507	51	25	velocity	velocity	NOUN
american_scientific_journal-3507	51	26	.	.	PUNCT
american_scientific_journal-3507	52	1	convection	convection	NOUN
american_scientific_journal-3507	52	2	does	do	AUX
american_scientific_journal-3507	52	3	not	not	PART
american_scientific_journal-3507	52	4	consider	consider	VERB
american_scientific_journal-3507	52	5	microscopic	microscopic	ADJ
american_scientific_journal-3507	52	6	processes	process	NOUN
american_scientific_journal-3507	52	7	but	but	CCONJ
american_scientific_journal-3507	52	8	follows	follow	VERB
american_scientific_journal-3507	52	9	the	the	DET
american_scientific_journal-3507	52	10	bulk	bulk	ADJ
american_scientific_journal-3507	52	11	darcian	darcian	NOUN
american_scientific_journal-3507	52	12	flow	flow	NOUN
american_scientific_journal-3507	52	13	vectors	vector	NOUN
american_scientific_journal-3507	52	14	,	,	PUNCT
american_scientific_journal-3507	52	15	and	and	CCONJ
american_scientific_journal-3507	52	16	is	be	AUX
american_scientific_journal-3507	52	17	therefore	therefore	ADV
american_scientific_journal-3507	52	18	described	describe	VERB
american_scientific_journal-3507	52	19	as	as	ADP
american_scientific_journal-3507	52	20	the	the	DET
american_scientific_journal-3507	52	21	transport	transport	NOUN
american_scientific_journal-3507	52	22	along	along	ADP
american_scientific_journal-3507	52	23	path	path	NOUN
american_scientific_journal-3507	52	24	lines	line	NOUN
american_scientific_journal-3507	52	25	[	[	X
american_scientific_journal-3507	52	26	8	8	NUM
american_scientific_journal-3507	52	27	]	]	PUNCT
american_scientific_journal-3507	52	28	.	.	PUNCT
american_scientific_journal-3507	53	1	the	the	DET
american_scientific_journal-3507	53	2	velocity	velocity	NOUN
american_scientific_journal-3507	53	3	at	at	ADP
american_scientific_journal-3507	53	4	which	which	PRON
american_scientific_journal-3507	53	5	solutes	solute	NOUN
american_scientific_journal-3507	53	6	move	move	VERB
american_scientific_journal-3507	53	7	through	through	ADP
american_scientific_journal-3507	53	8	soil	soil	NOUN
american_scientific_journal-3507	53	9	matrix	matrix	NOUN
american_scientific_journal-3507	53	10	is	be	AUX
american_scientific_journal-3507	53	11	known	know	VERB
american_scientific_journal-3507	53	12	as	as	ADP
american_scientific_journal-3507	53	13	pore	pore	ADJ
american_scientific_journal-3507	53	14	water	water	NOUN
american_scientific_journal-3507	53	15	velocity	velocity	NOUN
american_scientific_journal-3507	53	16	,	,	PUNCT
american_scientific_journal-3507	53	17	and	and	CCONJ
american_scientific_journal-3507	53	18	is	be	AUX
american_scientific_journal-3507	53	19	described	describe	VERB
american_scientific_journal-3507	53	20	by	by	ADP
american_scientific_journal-3507	53	21	the	the	DET
american_scientific_journal-3507	53	22	ratio	ratio	NOUN
american_scientific_journal-3507	53	23	of	of	ADP
american_scientific_journal-3507	53	24	darcian	darcian	ADJ
american_scientific_journal-3507	53	25	velocity	velocity	NOUN
american_scientific_journal-3507	53	26	and	and	CCONJ
american_scientific_journal-3507	53	27	moisture	moisture	NOUN
american_scientific_journal-3507	53	28	content	content	NOUN
american_scientific_journal-3507	53	29	.	.	PUNCT
american_scientific_journal-3507	54	1	in	in	ADP
american_scientific_journal-3507	54	2	general	general	ADJ
american_scientific_journal-3507	54	3	pore	pore	ADJ
american_scientific_journal-3507	54	4	water	water	NOUN
american_scientific_journal-3507	54	5	velocity	velocity	NOUN
american_scientific_journal-3507	54	6	accounts	account	VERB
american_scientific_journal-3507	54	7	for	for	ADP
american_scientific_journal-3507	54	8	straight	straight	ADJ
american_scientific_journal-3507	54	9	line	line	NOUN
american_scientific_journal-3507	54	10	of	of	ADP
american_scientific_journal-3507	54	11	length	length	NOUN
american_scientific_journal-3507	54	12	of	of	ADP
american_scientific_journal-3507	54	13	path	path	NOUN
american_scientific_journal-3507	54	14	traversed	traverse	VERB
american_scientific_journal-3507	54	15	in	in	ADP
american_scientific_journal-3507	54	16	the	the	DET
american_scientific_journal-3507	54	17	soil	soil	NOUN
american_scientific_journal-3507	54	18	in	in	ADP
american_scientific_journal-3507	54	19	a	a	DET
american_scientific_journal-3507	54	20	given	give	VERB
american_scientific_journal-3507	54	21	time	time	NOUN
american_scientific_journal-3507	54	22	[	[	X
american_scientific_journal-3507	54	23	9	9	NUM
american_scientific_journal-3507	54	24	]	]	PUNCT
american_scientific_journal-3507	54	25	.	.	PUNCT
american_scientific_journal-3507	55	1	the	the	DET
american_scientific_journal-3507	55	2	solute	solute	PROPN
american_scientific_journal-3507	55	3	flux	flux	PROPN
american_scientific_journal-3507	55	4	density	density	PROPN
american_scientific_journal-3507	55	5	,	,	PUNCT
american_scientific_journal-3507	55	6	𝐽𝐽𝑐𝑐	𝐽𝐽𝑐𝑐	PROPN
american_scientific_journal-3507	55	7	for	for	ADP
american_scientific_journal-3507	55	8	convective	convective	ADJ
american_scientific_journal-3507	55	9	transport	transport	NOUN
american_scientific_journal-3507	55	10	is	be	AUX
american_scientific_journal-3507	55	11	defined	define	VERB
american_scientific_journal-3507	55	12	;	;	PUNCT
american_scientific_journal-3507	56	1	𝐽𝐽𝑐𝑐	𝐽𝐽𝑐𝑐	PROPN
american_scientific_journal-3507	56	2	=	=	PUNCT
american_scientific_journal-3507	56	3	𝑞𝑞𝐶𝐶	𝑞𝑞𝐶𝐶	NOUN
american_scientific_journal-3507	56	4	…	…	PUNCT
american_scientific_journal-3507	56	5	……	……	NOUN
american_scientific_journal-3507	56	6	……	……	NOUN
american_scientific_journal-3507	56	7	……	……	NOUN
american_scientific_journal-3507	56	8	……	……	NOUN
american_scientific_journal-3507	56	9	……	……	NOUN
american_scientific_journal-3507	56	10	……	……	NOUN
american_scientific_journal-3507	56	11	……	……	NOUN
american_scientific_journal-3507	56	12	……	……	NOUN
american_scientific_journal-3507	56	13	……	……	NOUN
american_scientific_journal-3507	56	14	……	……	NOUN
american_scientific_journal-3507	56	15	……	……	NOUN
american_scientific_journal-3507	56	16	……	……	NOUN
american_scientific_journal-3507	56	17	...................................	...................................	PUNCT
american_scientific_journal-3507	56	18	1.3	1.3	NUM
american_scientific_journal-3507	56	19	𝐶𝐶	𝐶𝐶	NOUN
american_scientific_journal-3507	56	20	=	=	PUNCT
american_scientific_journal-3507	56	21	dissolved	dissolve	VERB
american_scientific_journal-3507	56	22	solute	solute	NOUN
american_scientific_journal-3507	56	23	concentration	concentration	NOUN
american_scientific_journal-3507	56	24	,	,	PUNCT
american_scientific_journal-3507	56	25	the	the	DET
american_scientific_journal-3507	56	26	water	water	NOUN
american_scientific_journal-3507	56	27	flux	flux	PROPN
american_scientific_journal-3507	56	28	density	density	PROPN
american_scientific_journal-3507	56	29	,	,	PUNCT
american_scientific_journal-3507	56	30	q	q	PUNCT
american_scientific_journal-3507	56	31	is	be	AUX
american_scientific_journal-3507	56	32	expressed	express	VERB
american_scientific_journal-3507	56	33	as	as	ADP
american_scientific_journal-3507	56	34	𝑞𝑞	𝑞𝑞	PROPN
american_scientific_journal-3507	56	35	=	=	PUNCT
american_scientific_journal-3507	56	36	𝑣𝑣𝑣𝑣	𝑣𝑣𝑣𝑣	NOUN
american_scientific_journal-3507	56	37	…	…	PUNCT
american_scientific_journal-3507	56	38	……	……	NOUN
american_scientific_journal-3507	56	39	……	……	NOUN
american_scientific_journal-3507	56	40	……	……	NOUN
american_scientific_journal-3507	56	41	……	……	NOUN
american_scientific_journal-3507	56	42	……	……	NOUN
american_scientific_journal-3507	56	43	……	……	NOUN
american_scientific_journal-3507	56	44	……	……	NOUN
american_scientific_journal-3507	56	45	……	……	NOUN
american_scientific_journal-3507	56	46	……	……	NOUN
american_scientific_journal-3507	56	47	……	……	NOUN
american_scientific_journal-3507	56	48	……	……	NOUN
american_scientific_journal-3507	56	49	……	……	NOUN
american_scientific_journal-3507	56	50	……	……	NOUN
american_scientific_journal-3507	56	51	……	……	NOUN
american_scientific_journal-3507	56	52	……	……	NOUN
american_scientific_journal-3507	56	53	……	……	NOUN
american_scientific_journal-3507	56	54	...	...	PUNCT
american_scientific_journal-3507	56	55	1.4	1.4	NUM
american_scientific_journal-3507	56	56	𝑣𝑣	𝑣𝑣	X
american_scientific_journal-3507	56	57	=	=	PUNCT
american_scientific_journal-3507	56	58	pore	pore	VERB
american_scientific_journal-3507	56	59	water	water	NOUN
american_scientific_journal-3507	56	60	velocity	velocity	NOUN
american_scientific_journal-3507	56	61	,	,	PUNCT
american_scientific_journal-3507	56	62	1.3.2	1.3.2	NUM
american_scientific_journal-3507	56	63	diffusion	diffusion	NOUN
american_scientific_journal-3507	56	64	diffusion	diffusion	NOUN
american_scientific_journal-3507	56	65	is	be	AUX
american_scientific_journal-3507	56	66	a	a	DET
american_scientific_journal-3507	56	67	spontaneous	spontaneous	ADJ
american_scientific_journal-3507	56	68	process	process	NOUN
american_scientific_journal-3507	56	69	where	where	SCONJ
american_scientific_journal-3507	56	70	solute	solute	ADJ
american_scientific_journal-3507	56	71	ions	ion	NOUN
american_scientific_journal-3507	56	72	and	and	CCONJ
american_scientific_journal-3507	56	73	molecules	molecule	NOUN
american_scientific_journal-3507	56	74	move	move	VERB
american_scientific_journal-3507	56	75	from	from	ADP
american_scientific_journal-3507	56	76	locations	location	NOUN
american_scientific_journal-3507	56	77	of	of	ADP
american_scientific_journal-3507	56	78	higher	high	ADJ
american_scientific_journal-3507	56	79	to	to	ADP
american_scientific_journal-3507	56	80	lower	low	ADJ
american_scientific_journal-3507	56	81	concentration	concentration	NOUN
american_scientific_journal-3507	56	82	as	as	ADP
american_scientific_journal-3507	56	83	a	a	DET
american_scientific_journal-3507	56	84	result	result	NOUN
american_scientific_journal-3507	56	85	of	of	ADP
american_scientific_journal-3507	56	86	thermal	thermal	ADJ
american_scientific_journal-3507	56	87	random	random	ADJ
american_scientific_journal-3507	56	88	motion	motion	NOUN
american_scientific_journal-3507	56	89	of	of	ADP
american_scientific_journal-3507	56	90	dissolved	dissolved	ADJ
american_scientific_journal-3507	56	91	ions	ion	NOUN
american_scientific_journal-3507	56	92	and	and	CCONJ
american_scientific_journal-3507	56	93	molecules	molecule	NOUN
american_scientific_journal-3507	56	94	.	.	PUNCT
american_scientific_journal-3507	57	1	diffusion	diffusion	NOUN
american_scientific_journal-3507	57	2	is	be	AUX
american_scientific_journal-3507	57	3	an	an	DET
american_scientific_journal-3507	57	4	active	active	ADJ
american_scientific_journal-3507	57	5	process	process	NOUN
american_scientific_journal-3507	57	6	and	and	CCONJ
american_scientific_journal-3507	57	7	tends	tend	VERB
american_scientific_journal-3507	57	8	to	to	PART
american_scientific_journal-3507	57	9	decrease	decrease	VERB
american_scientific_journal-3507	57	10	existing	exist	VERB
american_scientific_journal-3507	57	11	concentration	concentration	NOUN
american_scientific_journal-3507	57	12	gradients	gradient	NOUN
american_scientific_journal-3507	57	13	and	and	CCONJ
american_scientific_journal-3507	57	14	move	move	VERB
american_scientific_journal-3507	57	15	the	the	DET
american_scientific_journal-3507	57	16	process	process	NOUN
american_scientific_journal-3507	57	17	towards	towards	ADP
american_scientific_journal-3507	57	18	homogeneity	homogeneity	NOUN
american_scientific_journal-3507	57	19	rather	rather	ADV
american_scientific_journal-3507	57	20	rapidly	rapidly	ADV
american_scientific_journal-3507	58	1	[	[	X
american_scientific_journal-3507	58	2	9	9	NUM
american_scientific_journal-3507	58	3	]	]	PUNCT
american_scientific_journal-3507	58	4	.	.	PUNCT
american_scientific_journal-3507	59	1	rates	rate	NOUN
american_scientific_journal-3507	59	2	of	of	ADP
american_scientific_journal-3507	59	3	molecular	molecular	ADJ
american_scientific_journal-3507	59	4	diffusion	diffusion	NOUN
american_scientific_journal-3507	59	5	are	be	AUX
american_scientific_journal-3507	59	6	independent	independent	ADJ
american_scientific_journal-3507	59	7	of	of	ADP
american_scientific_journal-3507	59	8	soil	soil	NOUN
american_scientific_journal-3507	59	9	water	water	NOUN
american_scientific_journal-3507	59	10	velocity	velocity	NOUN
american_scientific_journal-3507	59	11	,	,	PUNCT
american_scientific_journal-3507	59	12	and	and	CCONJ
american_scientific_journal-3507	59	13	diffusion	diffusion	NOUN
american_scientific_journal-3507	59	14	occurs	occur	VERB
american_scientific_journal-3507	59	15	even	even	ADV
american_scientific_journal-3507	59	16	in	in	ADP
american_scientific_journal-3507	59	17	the	the	DET
american_scientific_journal-3507	59	18	absence	absence	NOUN
american_scientific_journal-3507	59	19	of	of	ADP
american_scientific_journal-3507	59	20	fluid	fluid	ADJ
american_scientific_journal-3507	59	21	movement	movement	NOUN
american_scientific_journal-3507	59	22	[	[	X
american_scientific_journal-3507	59	23	8	8	NUM
american_scientific_journal-3507	59	24	]	]	PUNCT
american_scientific_journal-3507	59	25	.	.	PUNCT
american_scientific_journal-3507	60	1	diffusion	diffusion	NOUN
american_scientific_journal-3507	60	2	flux	flux	PROPN
american_scientific_journal-3507	60	3	spreads	spread	VERB
american_scientific_journal-3507	60	4	solute	solute	NOUN
american_scientific_journal-3507	60	5	through	through	ADP
american_scientific_journal-3507	60	6	a	a	DET
american_scientific_journal-3507	60	7	concentration	concentration	NOUN
american_scientific_journal-3507	60	8	gradient	gradient	NOUN
american_scientific_journal-3507	60	9	.	.	PUNCT
american_scientific_journal-3507	61	1	diffusion	diffusion	NOUN
american_scientific_journal-3507	61	2	is	be	AUX
american_scientific_journal-3507	61	3	a	a	DET
american_scientific_journal-3507	61	4	dominant	dominant	ADJ
american_scientific_journal-3507	61	5	transport	transport	NOUN
american_scientific_journal-3507	61	6	mechanism	mechanism	NOUN
american_scientific_journal-3507	61	7	when	when	SCONJ
american_scientific_journal-3507	61	8	convection	convection	NOUN
american_scientific_journal-3507	61	9	is	be	AUX
american_scientific_journal-3507	61	10	insignificant	insignificant	ADJ
american_scientific_journal-3507	61	11	,	,	PUNCT
american_scientific_journal-3507	61	12	and	and	CCONJ
american_scientific_journal-3507	61	13	is	be	AUX
american_scientific_journal-3507	61	14	usually	usually	ADV
american_scientific_journal-3507	61	15	a	a	DET
american_scientific_journal-3507	61	16	negligible	negligible	ADJ
american_scientific_journal-3507	61	17	transport	transport	NOUN
american_scientific_journal-3507	61	18	mechanism	mechanism	NOUN
american_scientific_journal-3507	61	19	when	when	SCONJ
american_scientific_journal-3507	61	20	convection	convection	NOUN
american_scientific_journal-3507	61	21	process	process	NOUN
american_scientific_journal-3507	61	22	is	be	AUX
american_scientific_journal-3507	61	23	very	very	ADV
american_scientific_journal-3507	61	24	high	high	ADJ
american_scientific_journal-3507	61	25	.	.	PUNCT
american_scientific_journal-3507	62	1	fick	fick	PROPN
american_scientific_journal-3507	62	2	’s	’s	PART
american_scientific_journal-3507	62	3	law	law	NOUN
american_scientific_journal-3507	62	4	defines	define	VERB
american_scientific_journal-3507	62	5	the	the	DET
american_scientific_journal-3507	62	6	diffusive	diffusive	ADJ
american_scientific_journal-3507	62	7	transport	transport	NOUN
american_scientific_journal-3507	62	8	as	as	ADP
american_scientific_journal-3507	62	9	:	:	PUNCT
american_scientific_journal-3507	62	10	𝐽𝐽𝑑𝑑𝑖𝑖𝑓𝑓𝑓𝑓	𝐽𝐽𝑑𝑑𝑖𝑖𝑓𝑓𝑓𝑓	PROPN
american_scientific_journal-3507	62	11	=	=	PUNCT
american_scientific_journal-3507	63	1	−𝑣𝑣𝐷𝐷𝑑𝑑𝑖𝑖𝑓𝑓𝑓𝑓	−𝑣𝑣𝐷𝐷𝑑𝑑𝑖𝑖𝑓𝑓𝑓𝑓	PROPN
american_scientific_journal-3507	63	2	∂c	∂c	PROPN
american_scientific_journal-3507	64	1	∂z	∂z	PROPN
american_scientific_journal-3507	64	2	…	…	PUNCT
american_scientific_journal-3507	64	3	…	…	PUNCT
american_scientific_journal-3507	64	4	…	…	PUNCT
american_scientific_journal-3507	64	5	…	…	PUNCT
american_scientific_journal-3507	64	6	…	…	PUNCT
american_scientific_journal-3507	64	7	…	…	PUNCT
american_scientific_journal-3507	64	8	…	…	PUNCT
american_scientific_journal-3507	64	9	…	…	PUNCT
american_scientific_journal-3507	64	10	…	…	PUNCT
american_scientific_journal-3507	64	11	…	…	PUNCT
american_scientific_journal-3507	64	12	…	…	PUNCT
american_scientific_journal-3507	64	13	……	……	NOUN
american_scientific_journal-3507	64	14	……	……	NOUN
american_scientific_journal-3507	64	15	……	……	NOUN
american_scientific_journal-3507	64	16	……	……	NOUN
american_scientific_journal-3507	64	17	……	……	NOUN
american_scientific_journal-3507	64	18	……	……	NOUN
american_scientific_journal-3507	64	19	……	……	NOUN
american_scientific_journal-3507	64	20	……	……	NOUN
american_scientific_journal-3507	64	21	……	……	NOUN
american_scientific_journal-3507	64	22	..	..	SYM
american_scientific_journal-3507	64	23	1.5	1.5	NUM
american_scientific_journal-3507	64	24	𝐽𝐽𝑑𝑑𝑖𝑖𝑓𝑓𝑓𝑓	𝐽𝐽𝑑𝑑𝑖𝑖𝑓𝑓𝑓𝑓	PROPN
american_scientific_journal-3507	64	25	=	=	SYM
american_scientific_journal-3507	64	26	solute	solute	VERB
american_scientific_journal-3507	64	27	flux	flux	NOUN
american_scientific_journal-3507	64	28	density	density	NOUN
american_scientific_journal-3507	64	29	for	for	ADP
american_scientific_journal-3507	64	30	diffusion	diffusion	NOUN
american_scientific_journal-3507	64	31	,	,	PUNCT
american_scientific_journal-3507	64	32	z	z	NOUN
american_scientific_journal-3507	64	33	=	=	NOUN
american_scientific_journal-3507	64	34	soil	soil	NOUN
american_scientific_journal-3507	64	35	depth	depth	NOUN
american_scientific_journal-3507	64	36	𝐷𝐷𝑑𝑑𝑖𝑖𝑓𝑓𝑓𝑓	𝐷𝐷𝑑𝑑𝑖𝑖𝑓𝑓𝑓𝑓	NOUN
american_scientific_journal-3507	64	37	=	=	SYM
american_scientific_journal-3507	64	38	diffusion	diffusion	NOUN
american_scientific_journal-3507	64	39	coefficient	coefficient	NOUN
american_scientific_journal-3507	64	40	in	in	ADP
american_scientific_journal-3507	64	41	soils	soil	NOUN
american_scientific_journal-3507	64	42	.	.	PUNCT
american_scientific_journal-3507	65	1	𝐷𝐷𝑑𝑑𝑖𝑖𝑓𝑓𝑓𝑓	𝐷𝐷𝑑𝑑𝑖𝑖𝑓𝑓𝑓𝑓	NOUN
american_scientific_journal-3507	65	2	=	=	PUNCT
american_scientific_journal-3507	66	1	𝐷𝐷𝑜𝑜θε	𝐷𝐷𝑜𝑜θε	NOUN
american_scientific_journal-3507	66	2	…	…	PUNCT
american_scientific_journal-3507	66	3	……	……	NOUN
american_scientific_journal-3507	66	4	……	……	NOUN
american_scientific_journal-3507	66	5	……	……	NOUN
american_scientific_journal-3507	66	6	……	……	NOUN
american_scientific_journal-3507	66	7	……	……	NOUN
american_scientific_journal-3507	66	8	……	……	NOUN
american_scientific_journal-3507	66	9	……	……	NOUN
american_scientific_journal-3507	66	10	……	……	NOUN
american_scientific_journal-3507	66	11	……	……	NOUN
american_scientific_journal-3507	66	12	……	……	NOUN
american_scientific_journal-3507	66	13	.	.	PUNCT
american_scientific_journal-3507	66	14	……	……	NOUN
american_scientific_journal-3507	66	15	……	……	NOUN
american_scientific_journal-3507	66	16	……	……	NOUN
american_scientific_journal-3507	66	17	……	……	NOUN
american_scientific_journal-3507	66	18	……	……	NOUN
american_scientific_journal-3507	66	19	...	...	PUNCT
american_scientific_journal-3507	66	20	1.6	1.6	NUM
american_scientific_journal-3507	66	21	𝐷𝐷𝑜𝑜	𝐷𝐷𝑜𝑜	VERB
american_scientific_journal-3507	66	22	=	=	PUNCT
american_scientific_journal-3507	66	23	diffusion	diffusion	NOUN
american_scientific_journal-3507	66	24	coefficient	coefficient	NOUN
american_scientific_journal-3507	66	25	in	in	ADP
american_scientific_journal-3507	66	26	pure	pure	ADJ
american_scientific_journal-3507	66	27	water	water	NOUN
american_scientific_journal-3507	66	28	,	,	PUNCT
american_scientific_journal-3507	66	29	ε	ε	PROPN
american_scientific_journal-3507	66	30	=	=	SYM
american_scientific_journal-3507	66	31	tortuosity	tortuosity	NOUN
american_scientific_journal-3507	66	32	1.3.3	1.3.3	NUM
american_scientific_journal-3507	66	33	dispersion	dispersion	NOUN
american_scientific_journal-3507	66	34	dispersion	dispersion	NOUN
american_scientific_journal-3507	66	35	is	be	AUX
american_scientific_journal-3507	66	36	the	the	DET
american_scientific_journal-3507	66	37	mixing	mixing	NOUN
american_scientific_journal-3507	66	38	and	and	CCONJ
american_scientific_journal-3507	66	39	spreading	spread	VERB
american_scientific_journal-3507	66	40	of	of	ADP
american_scientific_journal-3507	66	41	solutes	solute	NOUN
american_scientific_journal-3507	66	42	along	along	ADV
american_scientific_journal-3507	66	43	and	and	CCONJ
american_scientific_journal-3507	66	44	transverse	transverse	VERB
american_scientific_journal-3507	66	45	to	to	ADP
american_scientific_journal-3507	66	46	the	the	DET
american_scientific_journal-3507	66	47	direction	direction	NOUN
american_scientific_journal-3507	66	48	of	of	ADP
american_scientific_journal-3507	66	49	flow	flow	NOUN
american_scientific_journal-3507	66	50	in	in	ADP
american_scientific_journal-3507	66	51	response	response	NOUN
american_scientific_journal-3507	66	52	to	to	ADP
american_scientific_journal-3507	66	53	american	american	ADJ
american_scientific_journal-3507	66	54	scientific	scientific	ADJ
american_scientific_journal-3507	66	55	research	research	NOUN
american_scientific_journal-3507	66	56	journal	journal	NOUN
american_scientific_journal-3507	66	57	for	for	ADP
american_scientific_journal-3507	66	58	engineering	engineering	NOUN
american_scientific_journal-3507	66	59	,	,	PUNCT
american_scientific_journal-3507	66	60	technology	technology	NOUN
american_scientific_journal-3507	66	61	,	,	PUNCT
american_scientific_journal-3507	66	62	and	and	CCONJ
american_scientific_journal-3507	66	63	sciences	science	NOUN
american_scientific_journal-3507	66	64	(	(	PUNCT
american_scientific_journal-3507	66	65	asrjets	asrjet	NOUN
american_scientific_journal-3507	66	66	)	)	PUNCT
american_scientific_journal-3507	66	67	(	(	PUNCT
american_scientific_journal-3507	66	68	2017	2017	NUM
american_scientific_journal-3507	66	69	)	)	PUNCT
american_scientific_journal-3507	66	70	volume	volume	NOUN
american_scientific_journal-3507	66	71	38	38	NUM
american_scientific_journal-3507	66	72	,	,	PUNCT
american_scientific_journal-3507	66	73	no	no	DET
american_scientific_journal-3507	66	74	1	1	NUM
american_scientific_journal-3507	66	75	,	,	PUNCT
american_scientific_journal-3507	66	76	pp	pp	ADV
american_scientific_journal-3507	66	77	235	235	NUM
american_scientific_journal-3507	66	78	-	-	SYM
american_scientific_journal-3507	66	79	249	249	NUM
american_scientific_journal-3507	66	80	239	239	NUM
american_scientific_journal-3507	66	81	local	local	ADJ
american_scientific_journal-3507	66	82	variations	variation	NOUN
american_scientific_journal-3507	66	83	in	in	ADP
american_scientific_journal-3507	66	84	interstitial	interstitial	ADJ
american_scientific_journal-3507	66	85	fluid	fluid	ADJ
american_scientific_journal-3507	66	86	velocities	velocity	NOUN
american_scientific_journal-3507	66	87	.	.	PUNCT
american_scientific_journal-3507	67	1	dispersive	dispersive	ADJ
american_scientific_journal-3507	67	2	transport	transport	NOUN
american_scientific_journal-3507	67	3	of	of	ADP
american_scientific_journal-3507	67	4	solute	solute	NOUN
american_scientific_journal-3507	67	5	occurs	occur	VERB
american_scientific_journal-3507	67	6	due	due	ADJ
american_scientific_journal-3507	67	7	to	to	ADP
american_scientific_journal-3507	67	8	the	the	DET
american_scientific_journal-3507	67	9	uneven	uneven	ADJ
american_scientific_journal-3507	67	10	distribution	distribution	NOUN
american_scientific_journal-3507	67	11	of	of	ADP
american_scientific_journal-3507	67	12	water	water	NOUN
american_scientific_journal-3507	67	13	flow	flow	NOUN
american_scientific_journal-3507	67	14	velocities	velocity	NOUN
american_scientific_journal-3507	67	15	within	within	ADP
american_scientific_journal-3507	67	16	and	and	CCONJ
american_scientific_journal-3507	67	17	between	between	ADP
american_scientific_journal-3507	67	18	different	different	ADJ
american_scientific_journal-3507	67	19	soil	soil	NOUN
american_scientific_journal-3507	67	20	pores	pore	NOUN
american_scientific_journal-3507	67	21	.	.	PUNCT
american_scientific_journal-3507	68	1	dispersion	dispersion	NOUN
american_scientific_journal-3507	68	2	is	be	AUX
american_scientific_journal-3507	68	3	a	a	DET
american_scientific_journal-3507	68	4	passive	passive	ADJ
american_scientific_journal-3507	68	5	process	process	NOUN
american_scientific_journal-3507	68	6	.	.	PUNCT
american_scientific_journal-3507	69	1	macroscopically	macroscopically	ADV
american_scientific_journal-3507	69	2	,	,	PUNCT
american_scientific_journal-3507	69	3	dispersion	dispersion	NOUN
american_scientific_journal-3507	69	4	is	be	AUX
american_scientific_journal-3507	69	5	similar	similar	ADJ
american_scientific_journal-3507	69	6	to	to	ADP
american_scientific_journal-3507	69	7	diffusion	diffusion	NOUN
american_scientific_journal-3507	69	8	;	;	PUNCT
american_scientific_journal-3507	69	9	however	however	ADV
american_scientific_journal-3507	69	10	it	it	PRON
american_scientific_journal-3507	69	11	occurs	occur	VERB
american_scientific_journal-3507	69	12	only	only	ADV
american_scientific_journal-3507	69	13	during	during	ADP
american_scientific_journal-3507	69	14	water	water	NOUN
american_scientific_journal-3507	69	15	movement	movement	NOUN
american_scientific_journal-3507	69	16	and	and	CCONJ
american_scientific_journal-3507	69	17	not	not	PART
american_scientific_journal-3507	69	18	driven	drive	VERB
american_scientific_journal-3507	69	19	by	by	ADP
american_scientific_journal-3507	69	20	concentration	concentration	NOUN
american_scientific_journal-3507	69	21	gradients	gradient	NOUN
american_scientific_journal-3507	69	22	[	[	X
american_scientific_journal-3507	69	23	9	9	NUM
american_scientific_journal-3507	69	24	]	]	PUNCT
american_scientific_journal-3507	69	25	.	.	PUNCT
american_scientific_journal-3507	70	1	the	the	DET
american_scientific_journal-3507	70	2	dispersion	dispersion	NOUN
american_scientific_journal-3507	70	3	that	that	PRON
american_scientific_journal-3507	70	4	occurs	occur	VERB
american_scientific_journal-3507	70	5	along	along	ADP
american_scientific_journal-3507	70	6	the	the	DET
american_scientific_journal-3507	70	7	direction	direction	NOUN
american_scientific_journal-3507	70	8	of	of	ADP
american_scientific_journal-3507	70	9	flow	flow	NOUN
american_scientific_journal-3507	70	10	path	path	NOUN
american_scientific_journal-3507	70	11	is	be	AUX
american_scientific_journal-3507	70	12	called	call	VERB
american_scientific_journal-3507	70	13	longitudinal	longitudinal	ADJ
american_scientific_journal-3507	70	14	dispersion	dispersion	NOUN
american_scientific_journal-3507	70	15	and	and	CCONJ
american_scientific_journal-3507	70	16	that	that	SCONJ
american_scientific_journal-3507	70	17	in	in	ADP
american_scientific_journal-3507	70	18	the	the	DET
american_scientific_journal-3507	70	19	direction	direction	NOUN
american_scientific_journal-3507	70	20	normal	normal	ADJ
american_scientific_journal-3507	70	21	to	to	PART
american_scientific_journal-3507	70	22	flow	flow	VERB
american_scientific_journal-3507	70	23	is	be	AUX
american_scientific_journal-3507	70	24	known	know	VERB
american_scientific_journal-3507	70	25	as	as	ADP
american_scientific_journal-3507	70	26	transverse	transverse	NOUN
american_scientific_journal-3507	70	27	dispersion	dispersion	NOUN
american_scientific_journal-3507	70	28	.	.	PUNCT
american_scientific_journal-3507	71	1	dispersion	dispersion	NOUN
american_scientific_journal-3507	71	2	process	process	NOUN
american_scientific_journal-3507	71	3	and	and	CCONJ
american_scientific_journal-3507	71	4	diffusion	diffusion	NOUN
american_scientific_journal-3507	71	5	process	process	NOUN
american_scientific_journal-3507	71	6	are	be	AUX
american_scientific_journal-3507	71	7	considered	consider	VERB
american_scientific_journal-3507	71	8	to	to	PART
american_scientific_journal-3507	71	9	be	be	AUX
american_scientific_journal-3507	71	10	additive	additive	ADJ
american_scientific_journal-3507	71	11	at	at	ADP
american_scientific_journal-3507	71	12	macroscopic	macroscopic	ADJ
american_scientific_journal-3507	71	13	level	level	NOUN
american_scientific_journal-3507	71	14	.	.	PUNCT
american_scientific_journal-3507	72	1	the	the	DET
american_scientific_journal-3507	72	2	dispersive	dispersive	ADJ
american_scientific_journal-3507	72	3	transport	transport	NOUN
american_scientific_journal-3507	72	4	is	be	AUX
american_scientific_journal-3507	72	5	described	describe	VERB
american_scientific_journal-3507	72	6	by	by	ADP
american_scientific_journal-3507	72	7	an	an	DET
american_scientific_journal-3507	72	8	equation	equation	NOUN
american_scientific_journal-3507	72	9	similar	similar	ADJ
american_scientific_journal-3507	72	10	to	to	ADP
american_scientific_journal-3507	72	11	diffusion	diffusion	NOUN
american_scientific_journal-3507	72	12	as	as	ADP
american_scientific_journal-3507	72	13	:	:	PUNCT
american_scientific_journal-3507	72	14	𝐽𝐽𝑑𝑑𝑖𝑖𝑠𝑠	𝐽𝐽𝑑𝑑𝑖𝑖𝑠𝑠	PROPN
american_scientific_journal-3507	72	15	=	=	PUNCT
american_scientific_journal-3507	72	16	−𝑣𝑣𝐷𝐷𝑑𝑑𝑖𝑖𝑠𝑠	−𝑣𝑣𝐷𝐷𝑑𝑑𝑖𝑖𝑠𝑠	PUNCT
american_scientific_journal-3507	72	17	∂c	∂c	PROPN
american_scientific_journal-3507	72	18	∂z	∂z	PROPN
american_scientific_journal-3507	72	19	…	…	PUNCT
american_scientific_journal-3507	72	20	…	…	PUNCT
american_scientific_journal-3507	72	21	…	…	PUNCT
american_scientific_journal-3507	72	22	…	…	PUNCT
american_scientific_journal-3507	72	23	…	…	PUNCT
american_scientific_journal-3507	72	24	…	…	PUNCT
american_scientific_journal-3507	72	25	…	…	PUNCT
american_scientific_journal-3507	72	26	…	…	PUNCT
american_scientific_journal-3507	72	27	…	…	PUNCT
american_scientific_journal-3507	72	28	…	…	PUNCT
american_scientific_journal-3507	72	29	…	…	SYM
american_scientific_journal-3507	72	30	…	…	PUNCT
american_scientific_journal-3507	72	31	…	…	SYM
american_scientific_journal-3507	72	32	……	……	NOUN
american_scientific_journal-3507	72	33	..	..	PUNCT
american_scientific_journal-3507	72	34	…	…	PUNCT
american_scientific_journal-3507	72	35	.	.	PUNCT
american_scientific_journal-3507	72	36	…	…	PUNCT
american_scientific_journal-3507	73	1	……	……	NOUN
american_scientific_journal-3507	73	2	……	……	NOUN
american_scientific_journal-3507	73	3	……	……	NOUN
american_scientific_journal-3507	73	4	……	……	NOUN
american_scientific_journal-3507	73	5	……	……	NOUN
american_scientific_journal-3507	73	6	……	……	NOUN
american_scientific_journal-3507	73	7	1.7	1.7	NUM
american_scientific_journal-3507	73	8	𝐽𝐽𝑑𝑑𝑖𝑖𝑠𝑠	𝐽𝐽𝑑𝑑𝑖𝑖𝑠𝑠	NOUN
american_scientific_journal-3507	73	9	=	=	PUNCT
american_scientific_journal-3507	73	10	solute	solute	VERB
american_scientific_journal-3507	73	11	flux	flux	NOUN
american_scientific_journal-3507	73	12	for	for	ADP
american_scientific_journal-3507	73	13	dispersion	dispersion	NOUN
american_scientific_journal-3507	73	14	,	,	PUNCT
american_scientific_journal-3507	73	15	𝐷𝐷𝑑𝑑𝑖𝑖𝑠𝑠	𝐷𝐷𝑑𝑑𝑖𝑖𝑠𝑠	PROPN
american_scientific_journal-3507	73	16	=	=	PUNCT
american_scientific_journal-3507	73	17	dispersion	dispersion	NOUN
american_scientific_journal-3507	73	18	coefficient	coefficient	NOUN
american_scientific_journal-3507	73	19	.	.	PUNCT
american_scientific_journal-3507	74	1	dispersion	dispersion	NOUN
american_scientific_journal-3507	74	2	is	be	AUX
american_scientific_journal-3507	74	3	assumed	assume	VERB
american_scientific_journal-3507	74	4	to	to	PART
american_scientific_journal-3507	74	5	be	be	AUX
american_scientific_journal-3507	74	6	a	a	DET
american_scientific_journal-3507	74	7	function	function	NOUN
american_scientific_journal-3507	74	8	of	of	ADP
american_scientific_journal-3507	74	9	fluid	fluid	ADJ
american_scientific_journal-3507	74	10	velocity	velocity	NOUN
american_scientific_journal-3507	74	11	as	as	ADP
american_scientific_journal-3507	74	12	:	:	PUNCT
american_scientific_journal-3507	74	13	𝐷𝐷𝑑𝑑𝑖𝑖𝑠𝑠	𝐷𝐷𝑑𝑑𝑖𝑖𝑠𝑠	PROPN
american_scientific_journal-3507	74	14	=	=	PUNCT
american_scientific_journal-3507	74	15	λvn	λvn	NOUN
american_scientific_journal-3507	74	16	……	……	NOUN
american_scientific_journal-3507	74	17	……	……	NOUN
american_scientific_journal-3507	74	18	……	……	NOUN
american_scientific_journal-3507	74	19	……	……	NOUN
american_scientific_journal-3507	74	20	……	……	NOUN
american_scientific_journal-3507	74	21	……	……	NOUN
american_scientific_journal-3507	74	22	……	……	NOUN
american_scientific_journal-3507	74	23	……	……	NOUN
american_scientific_journal-3507	74	24	……	……	NOUN
american_scientific_journal-3507	74	25	……	……	NOUN
american_scientific_journal-3507	74	26	……	……	NOUN
american_scientific_journal-3507	74	27	……	……	NOUN
american_scientific_journal-3507	74	28	……	……	NOUN
american_scientific_journal-3507	74	29	……	……	NOUN
american_scientific_journal-3507	74	30	……	……	NOUN
american_scientific_journal-3507	74	31	……	……	NOUN
american_scientific_journal-3507	74	32	...	...	PUNCT
american_scientific_journal-3507	74	33	1.8	1.8	NUM
american_scientific_journal-3507	74	34	λ	λ	NOUN
american_scientific_journal-3507	74	35	=	=	SYM
american_scientific_journal-3507	74	36	dispersivity	dispersivity	NOUN
american_scientific_journal-3507	74	37	,	,	PUNCT
american_scientific_journal-3507	74	38	n	n	NOUN
american_scientific_journal-3507	74	39	=	=	SYM
american_scientific_journal-3507	74	40	empirical	empirical	ADJ
american_scientific_journal-3507	74	41	constant	constant	ADJ
american_scientific_journal-3507	74	42	(	(	PUNCT
american_scientific_journal-3507	74	43	generally	generally	ADV
american_scientific_journal-3507	74	44	assumed	assume	VERB
american_scientific_journal-3507	74	45	to	to	PART
american_scientific_journal-3507	74	46	be	be	AUX
american_scientific_journal-3507	74	47	1	1	NUM
american_scientific_journal-3507	74	48	)	)	PUNCT
american_scientific_journal-3507	74	49	.	.	PUNCT
american_scientific_journal-3507	75	1	dispersion	dispersion	NOUN
american_scientific_journal-3507	75	2	process	process	NOUN
american_scientific_journal-3507	75	3	and	and	CCONJ
american_scientific_journal-3507	75	4	diffusion	diffusion	NOUN
american_scientific_journal-3507	75	5	process	process	NOUN
american_scientific_journal-3507	75	6	are	be	AUX
american_scientific_journal-3507	75	7	considered	consider	VERB
american_scientific_journal-3507	75	8	to	to	PART
american_scientific_journal-3507	75	9	be	be	AUX
american_scientific_journal-3507	75	10	additive	additive	ADJ
american_scientific_journal-3507	75	11	at	at	ADP
american_scientific_journal-3507	75	12	macroscopic	macroscopic	ADJ
american_scientific_journal-3507	75	13	level	level	NOUN
american_scientific_journal-3507	75	14	.	.	PUNCT
american_scientific_journal-3507	76	1	the	the	DET
american_scientific_journal-3507	76	2	two	two	NUM
american_scientific_journal-3507	76	3	are	be	AUX
american_scientific_journal-3507	76	4	therefore	therefore	ADV
american_scientific_journal-3507	76	5	combined	combine	VERB
american_scientific_journal-3507	76	6	to	to	PART
american_scientific_journal-3507	76	7	define	define	VERB
american_scientific_journal-3507	76	8	a	a	DET
american_scientific_journal-3507	76	9	new	new	ADJ
american_scientific_journal-3507	76	10	parameter	parameter	NOUN
american_scientific_journal-3507	76	11	called	call	VERB
american_scientific_journal-3507	76	12	the	the	DET
american_scientific_journal-3507	76	13	apparent	apparent	ADJ
american_scientific_journal-3507	76	14	dispersion	dispersion	NOUN
american_scientific_journal-3507	76	15	coefficient	coefficient	NOUN
american_scientific_journal-3507	76	16	or	or	CCONJ
american_scientific_journal-3507	76	17	hydrodynamic	hydrodynamic	ADJ
american_scientific_journal-3507	76	18	dispersion	dispersion	NOUN
american_scientific_journal-3507	76	19	coefficient	coefficient	NOUN
american_scientific_journal-3507	76	20	(	(	PUNCT
american_scientific_journal-3507	76	21	d	d	NOUN
american_scientific_journal-3507	76	22	)	)	PUNCT
american_scientific_journal-3507	77	1	d	d	NOUN
american_scientific_journal-3507	77	2	=	=	PUNCT
american_scientific_journal-3507	77	3	𝐷𝐷𝑑𝑑𝑖𝑖𝑓𝑓𝑓𝑓	𝐷𝐷𝑑𝑑𝑖𝑖𝑓𝑓𝑓𝑓	PROPN
american_scientific_journal-3507	77	4	+	+	CCONJ
american_scientific_journal-3507	77	5	𝐷𝐷𝑑𝑑𝑖𝑖𝑠𝑠	𝐷𝐷𝑑𝑑𝑖𝑖𝑠𝑠	PROPN
american_scientific_journal-3507	77	6	…	…	PUNCT
american_scientific_journal-3507	77	7	…	…	PUNCT
american_scientific_journal-3507	77	8	…	…	PUNCT
american_scientific_journal-3507	77	9	…	…	PUNCT
american_scientific_journal-3507	77	10	…	…	PUNCT
american_scientific_journal-3507	77	11	…	…	PUNCT
american_scientific_journal-3507	77	12	…	…	PUNCT
american_scientific_journal-3507	77	13	…	…	PUNCT
american_scientific_journal-3507	77	14	…	…	PUNCT
american_scientific_journal-3507	77	15	…	…	PUNCT
american_scientific_journal-3507	77	16	…	…	PUNCT
american_scientific_journal-3507	77	17	…	…	PUNCT
american_scientific_journal-3507	77	18	……	……	NOUN
american_scientific_journal-3507	77	19	……	……	NOUN
american_scientific_journal-3507	77	20	……	……	NOUN
american_scientific_journal-3507	77	21	……	……	NOUN
american_scientific_journal-3507	77	22	..	..	PUNCT
american_scientific_journal-3507	77	23	…	…	PUNCT
american_scientific_journal-3507	77	24	……	……	NOUN
american_scientific_journal-3507	77	25	……	……	NOUN
american_scientific_journal-3507	77	26	……	……	NOUN
american_scientific_journal-3507	77	27	……	……	NOUN
american_scientific_journal-3507	77	28	..	..	PUNCT
american_scientific_journal-3507	77	29	1.9	1.9	NUM
american_scientific_journal-3507	77	30	1.4	1.4	NUM
american_scientific_journal-3507	77	31	nitrate	nitrate	NOUN
american_scientific_journal-3507	77	32	solute	solute	NOUN
american_scientific_journal-3507	77	33	nitrate	nitrate	NOUN
american_scientific_journal-3507	77	34	(	(	PUNCT
american_scientific_journal-3507	77	35	no3	no3	NOUN
american_scientific_journal-3507	77	36	-	-	PUNCT
american_scientific_journal-3507	77	37	)	)	PUNCT
american_scientific_journal-3507	77	38	is	be	AUX
american_scientific_journal-3507	77	39	negatively	negatively	ADV
american_scientific_journal-3507	77	40	charged	charge	VERB
american_scientific_journal-3507	77	41	ion	ion	NOUN
american_scientific_journal-3507	77	42	.	.	PUNCT
american_scientific_journal-3507	78	1	it	it	PRON
american_scientific_journal-3507	78	2	is	be	AUX
american_scientific_journal-3507	78	3	very	very	ADV
american_scientific_journal-3507	78	4	mobile	mobile	ADJ
american_scientific_journal-3507	78	5	in	in	ADP
american_scientific_journal-3507	78	6	soils	soil	NOUN
american_scientific_journal-3507	78	7	and	and	CCONJ
american_scientific_journal-3507	78	8	can	can	AUX
american_scientific_journal-3507	78	9	easily	easily	ADV
american_scientific_journal-3507	78	10	be	be	AUX
american_scientific_journal-3507	78	11	lost	lose	VERB
american_scientific_journal-3507	78	12	from	from	ADP
american_scientific_journal-3507	78	13	the	the	DET
american_scientific_journal-3507	78	14	soil	soil	NOUN
american_scientific_journal-3507	78	15	with	with	ADP
american_scientific_journal-3507	78	16	water	water	NOUN
american_scientific_journal-3507	78	17	that	that	PRON
american_scientific_journal-3507	78	18	moves	move	VERB
american_scientific_journal-3507	78	19	downward	downward	ADV
american_scientific_journal-3507	78	20	laterally	laterally	ADV
american_scientific_journal-3507	78	21	through	through	ADP
american_scientific_journal-3507	78	22	a	a	DET
american_scientific_journal-3507	78	23	soil	soil	NOUN
american_scientific_journal-3507	78	24	profile	profile	NOUN
american_scientific_journal-3507	78	25	.	.	PUNCT
american_scientific_journal-3507	79	1	the	the	DET
american_scientific_journal-3507	79	2	surface	surface	NOUN
american_scientific_journal-3507	79	3	of	of	ADP
american_scientific_journal-3507	79	4	the	the	DET
american_scientific_journal-3507	79	5	negatively	negatively	ADV
american_scientific_journal-3507	79	6	charged	charge	VERB
american_scientific_journal-3507	79	7	clay	clay	NOUN
american_scientific_journal-3507	79	8	or	or	CCONJ
american_scientific_journal-3507	79	9	organic	organic	ADJ
american_scientific_journal-3507	79	10	matter	matter	NOUN
american_scientific_journal-3507	79	11	particles	particle	NOUN
american_scientific_journal-3507	79	12	repels	repel	NOUN
american_scientific_journal-3507	79	13	nitrate	nitrate	NOUN
american_scientific_journal-3507	79	14	rather	rather	ADV
american_scientific_journal-3507	79	15	than	than	ADP
american_scientific_journal-3507	79	16	been	be	AUX
american_scientific_journal-3507	79	17	attracted	attract	VERB
american_scientific_journal-3507	79	18	and	and	CCONJ
american_scientific_journal-3507	79	19	therefore	therefore	ADV
american_scientific_journal-3507	79	20	it	it	PRON
american_scientific_journal-3507	79	21	can	can	AUX
american_scientific_journal-3507	79	22	be	be	AUX
american_scientific_journal-3507	79	23	lost	lose	VERB
american_scientific_journal-3507	79	24	by	by	ADP
american_scientific_journal-3507	79	25	leaching	leach	VERB
american_scientific_journal-3507	79	26	.	.	PUNCT
american_scientific_journal-3507	80	1	movement	movement	NOUN
american_scientific_journal-3507	80	2	of	of	ADP
american_scientific_journal-3507	80	3	the	the	DET
american_scientific_journal-3507	80	4	no3	no3	PROPN
american_scientific_journal-3507	80	5	ion	ion	NOUN
american_scientific_journal-3507	80	6	through	through	ADP
american_scientific_journal-3507	80	7	soil	soil	NOUN
american_scientific_journal-3507	80	8	is	be	AUX
american_scientific_journal-3507	80	9	governed	govern	VERB
american_scientific_journal-3507	80	10	by	by	ADP
american_scientific_journal-3507	80	11	convection	convection	NOUN
american_scientific_journal-3507	80	12	,	,	PUNCT
american_scientific_journal-3507	80	13	or	or	CCONJ
american_scientific_journal-3507	80	14	mass	mass	NOUN
american_scientific_journal-3507	80	15	-	-	PUNCT
american_scientific_journal-3507	80	16	flow	flow	NOUN
american_scientific_journal-3507	80	17	,	,	PUNCT
american_scientific_journal-3507	80	18	with	with	ADP
american_scientific_journal-3507	80	19	the	the	DET
american_scientific_journal-3507	80	20	moving	move	VERB
american_scientific_journal-3507	80	21	soil	soil	NOUN
american_scientific_journal-3507	80	22	solution	solution	NOUN
american_scientific_journal-3507	80	23	and	and	CCONJ
american_scientific_journal-3507	80	24	by	by	ADP
american_scientific_journal-3507	80	25	diffusion	diffusion	NOUN
american_scientific_journal-3507	80	26	and	and	CCONJ
american_scientific_journal-3507	80	27	dispersion	dispersion	NOUN
american_scientific_journal-3507	80	28	within	within	ADP
american_scientific_journal-3507	80	29	the	the	DET
american_scientific_journal-3507	80	30	soil	soil	NOUN
american_scientific_journal-3507	80	31	solution	solution	NOUN
american_scientific_journal-3507	80	32	.	.	PUNCT
american_scientific_journal-3507	81	1	the	the	DET
american_scientific_journal-3507	81	2	widespread	widespread	ADJ
american_scientific_journal-3507	81	3	appearance	appearance	NOUN
american_scientific_journal-3507	81	4	of	of	ADP
american_scientific_journal-3507	81	5	no3	no3	NOUN
american_scientific_journal-3507	81	6	in	in	ADP
american_scientific_journal-3507	81	7	ground	ground	NOUN
american_scientific_journal-3507	81	8	water	water	NOUN
american_scientific_journal-3507	81	9	is	be	AUX
american_scientific_journal-3507	81	10	a	a	DET
american_scientific_journal-3507	81	11	consequence	consequence	NOUN
american_scientific_journal-3507	81	12	of	of	ADP
american_scientific_journal-3507	81	13	its	its	PRON
american_scientific_journal-3507	81	14	high	high	ADJ
american_scientific_journal-3507	81	15	solubility	solubility	NOUN
american_scientific_journal-3507	81	16	,	,	PUNCT
american_scientific_journal-3507	81	17	mobility	mobility	NOUN
american_scientific_journal-3507	81	18	,	,	PUNCT
american_scientific_journal-3507	81	19	and	and	CCONJ
american_scientific_journal-3507	81	20	easy	easy	ADJ
american_scientific_journal-3507	81	21	displacement	displacement	NOUN
american_scientific_journal-3507	81	22	by	by	ADP
american_scientific_journal-3507	81	23	water	water	NOUN
american_scientific_journal-3507	81	24	[	[	X
american_scientific_journal-3507	81	25	10	10	NUM
american_scientific_journal-3507	81	26	]	]	PUNCT
american_scientific_journal-3507	81	27	.	.	PUNCT
american_scientific_journal-3507	82	1	nitrate	nitrate	NOUN
american_scientific_journal-3507	82	2	is	be	AUX
american_scientific_journal-3507	82	3	a	a	DET
american_scientific_journal-3507	82	4	potential	potential	ADJ
american_scientific_journal-3507	82	5	pollutant	pollutant	NOUN
american_scientific_journal-3507	82	6	if	if	SCONJ
american_scientific_journal-3507	82	7	it	it	PRON
american_scientific_journal-3507	82	8	reaches	reach	VERB
american_scientific_journal-3507	82	9	surface	surface	NOUN
american_scientific_journal-3507	82	10	and	and	CCONJ
american_scientific_journal-3507	82	11	ground	ground	NOUN
american_scientific_journal-3507	82	12	water	water	NOUN
american_scientific_journal-3507	82	13	supplies	supply	NOUN
american_scientific_journal-3507	82	14	.	.	PUNCT
american_scientific_journal-3507	83	1	2	2	X
american_scientific_journal-3507	83	2	.	.	X
american_scientific_journal-3507	83	3	methodology	methodology	NOUN
american_scientific_journal-3507	83	4	the	the	DET
american_scientific_journal-3507	83	5	governing	govern	VERB
american_scientific_journal-3507	83	6	equation	equation	NOUN
american_scientific_journal-3507	83	7	for	for	ADP
american_scientific_journal-3507	83	8	the	the	DET
american_scientific_journal-3507	83	9	modelling	modelling	NOUN
american_scientific_journal-3507	83	10	process	process	NOUN
american_scientific_journal-3507	83	11	was	be	AUX
american_scientific_journal-3507	83	12	the	the	DET
american_scientific_journal-3507	83	13	one	one	NUM
american_scientific_journal-3507	83	14	dimensional	dimensional	ADJ
american_scientific_journal-3507	83	15	convectional	convectional	ADJ
american_scientific_journal-3507	83	16	dispersion	dispersion	NOUN
american_scientific_journal-3507	83	17	equation	equation	NOUN
american_scientific_journal-3507	83	18	(	(	PUNCT
american_scientific_journal-3507	83	19	cde	cde	PROPN
american_scientific_journal-3507	83	20	)	)	PUNCT
american_scientific_journal-3507	83	21	.	.	PUNCT
american_scientific_journal-3507	84	1	the	the	DET
american_scientific_journal-3507	84	2	cde	cde	PROPN
american_scientific_journal-3507	84	3	was	be	AUX
american_scientific_journal-3507	84	4	solve	solve	NOUN
american_scientific_journal-3507	84	5	using	use	VERB
american_scientific_journal-3507	84	6	both	both	CCONJ
american_scientific_journal-3507	84	7	laplace	laplace	NOUN
american_scientific_journal-3507	84	8	transform	transform	NOUN
american_scientific_journal-3507	84	9	and	and	CCONJ
american_scientific_journal-3507	84	10	finite	finite	ADJ
american_scientific_journal-3507	84	11	difference	difference	NOUN
american_scientific_journal-3507	84	12	methods	method	NOUN
american_scientific_journal-3507	84	13	and	and	CCONJ
american_scientific_journal-3507	84	14	the	the	DET
american_scientific_journal-3507	84	15	solutions	solution	NOUN
american_scientific_journal-3507	84	16	were	be	AUX
american_scientific_journal-3507	84	17	implemented	implement	VERB
american_scientific_journal-3507	84	18	in	in	ADP
american_scientific_journal-3507	84	19	matlab	matlab	PROPN
american_scientific_journal-3507	84	20	programming	programming	NOUN
american_scientific_journal-3507	84	21	environment	environment	NOUN
american_scientific_journal-3507	84	22	.	.	PUNCT
american_scientific_journal-3507	85	1	2.1	2.1	NUM
american_scientific_journal-3507	85	2	solute	solute	NOUN
american_scientific_journal-3507	85	3	transport	transport	NOUN
american_scientific_journal-3507	85	4	equation	equation	NOUN
american_scientific_journal-3507	85	5	american	american	PROPN
american_scientific_journal-3507	85	6	scientific	scientific	PROPN
american_scientific_journal-3507	85	7	research	research	PROPN
american_scientific_journal-3507	85	8	journal	journal	NOUN
american_scientific_journal-3507	85	9	for	for	ADP
american_scientific_journal-3507	85	10	engineering	engineering	NOUN
american_scientific_journal-3507	85	11	,	,	PUNCT
american_scientific_journal-3507	85	12	technology	technology	NOUN
american_scientific_journal-3507	85	13	,	,	PUNCT
american_scientific_journal-3507	85	14	and	and	CCONJ
american_scientific_journal-3507	85	15	sciences	science	NOUN
american_scientific_journal-3507	85	16	(	(	PUNCT
american_scientific_journal-3507	85	17	asrjets	asrjet	NOUN
american_scientific_journal-3507	85	18	)	)	PUNCT
american_scientific_journal-3507	85	19	(	(	PUNCT
american_scientific_journal-3507	85	20	2017	2017	NUM
american_scientific_journal-3507	85	21	)	)	PUNCT
american_scientific_journal-3507	85	22	volume	volume	NOUN
american_scientific_journal-3507	85	23	38	38	NUM
american_scientific_journal-3507	85	24	,	,	PUNCT
american_scientific_journal-3507	85	25	no	no	DET
american_scientific_journal-3507	85	26	1	1	NUM
american_scientific_journal-3507	85	27	,	,	PUNCT
american_scientific_journal-3507	85	28	pp	pp	ADV
american_scientific_journal-3507	85	29	235	235	NUM
american_scientific_journal-3507	85	30	-	-	SYM
american_scientific_journal-3507	85	31	249	249	NUM
american_scientific_journal-3507	85	32	240	240	NUM
american_scientific_journal-3507	85	33	the	the	DET
american_scientific_journal-3507	85	34	convection	convection	NOUN
american_scientific_journal-3507	85	35	-	-	PUNCT
american_scientific_journal-3507	85	36	dispersion	dispersion	NOUN
american_scientific_journal-3507	85	37	equation	equation	NOUN
american_scientific_journal-3507	85	38	(	(	PUNCT
american_scientific_journal-3507	85	39	cde	cde	PROPN
american_scientific_journal-3507	85	40	)	)	PUNCT
american_scientific_journal-3507	85	41	which	which	PRON
american_scientific_journal-3507	85	42	is	be	AUX
american_scientific_journal-3507	85	43	the	the	DET
american_scientific_journal-3507	85	44	accepted	accept	VERB
american_scientific_journal-3507	85	45	deterministic	deterministic	ADJ
american_scientific_journal-3507	85	46	solute	solute	NOUN
american_scientific_journal-3507	85	47	transport	transport	NOUN
american_scientific_journal-3507	85	48	equation	equation	NOUN
american_scientific_journal-3507	85	49	describes	describe	VERB
american_scientific_journal-3507	85	50	the	the	DET
american_scientific_journal-3507	85	51	time	time	NOUN
american_scientific_journal-3507	85	52	rate	rate	NOUN
american_scientific_journal-3507	85	53	of	of	ADP
american_scientific_journal-3507	85	54	change	change	NOUN
american_scientific_journal-3507	85	55	of	of	ADP
american_scientific_journal-3507	85	56	solute	solute	ADJ
american_scientific_journal-3507	85	57	concentration	concentration	NOUN
american_scientific_journal-3507	85	58	for	for	ADP
american_scientific_journal-3507	85	59	a	a	DET
american_scientific_journal-3507	85	60	single	single	ADJ
american_scientific_journal-3507	85	61	solute	solute	NOUN
american_scientific_journal-3507	86	1	[	[	X
american_scientific_journal-3507	86	2	8	8	NUM
american_scientific_journal-3507	86	3	]	]	PUNCT
american_scientific_journal-3507	86	4	.	.	PUNCT
american_scientific_journal-3507	87	1	the	the	DET
american_scientific_journal-3507	87	2	cde	cde	PROPN
american_scientific_journal-3507	87	3	is	be	AUX
american_scientific_journal-3507	87	4	a	a	DET
american_scientific_journal-3507	87	5	partial	partial	ADJ
american_scientific_journal-3507	87	6	differential	differential	NOUN
american_scientific_journal-3507	87	7	equation	equation	NOUN
american_scientific_journal-3507	87	8	of	of	ADP
american_scientific_journal-3507	87	9	parabolic	parabolic	ADJ
american_scientific_journal-3507	87	10	type	type	NOUN
american_scientific_journal-3507	87	11	,	,	PUNCT
american_scientific_journal-3507	87	12	derived	derive	VERB
american_scientific_journal-3507	87	13	on	on	ADP
american_scientific_journal-3507	87	14	the	the	DET
american_scientific_journal-3507	87	15	principle	principle	NOUN
american_scientific_journal-3507	87	16	of	of	ADP
american_scientific_journal-3507	87	17	conservation	conservation	NOUN
american_scientific_journal-3507	87	18	of	of	ADP
american_scientific_journal-3507	87	19	mass	mass	NOUN
american_scientific_journal-3507	87	20	using	use	VERB
american_scientific_journal-3507	87	21	fick	fick	PROPN
american_scientific_journal-3507	87	22	’s	’s	PART
american_scientific_journal-3507	87	23	law	law	NOUN
american_scientific_journal-3507	87	24	.	.	PUNCT
american_scientific_journal-3507	88	1	the	the	DET
american_scientific_journal-3507	88	2	analytical	analytical	ADJ
american_scientific_journal-3507	88	3	/	/	SYM
american_scientific_journal-3507	88	4	numerical	numerical	ADJ
american_scientific_journal-3507	88	5	solutions	solution	NOUN
american_scientific_journal-3507	88	6	of	of	ADP
american_scientific_journal-3507	88	7	the	the	DET
american_scientific_journal-3507	88	8	cde	cde	NOUN
american_scientific_journal-3507	88	9	along	along	ADP
american_scientific_journal-3507	88	10	with	with	ADP
american_scientific_journal-3507	88	11	initial	initial	ADJ
american_scientific_journal-3507	88	12	and	and	CCONJ
american_scientific_journal-3507	88	13	boundary	boundary	ADJ
american_scientific_journal-3507	88	14	conditions	condition	NOUN
american_scientific_journal-3507	88	15	help	help	VERB
american_scientific_journal-3507	88	16	to	to	PART
american_scientific_journal-3507	88	17	understand	understand	VERB
american_scientific_journal-3507	88	18	the	the	DET
american_scientific_journal-3507	88	19	solute	solute	NOUN
american_scientific_journal-3507	88	20	concentration	concentration	NOUN
american_scientific_journal-3507	88	21	profile	profile	NOUN
american_scientific_journal-3507	88	22	or	or	CCONJ
american_scientific_journal-3507	88	23	distribution	distribution	NOUN
american_scientific_journal-3507	88	24	behavior	behavior	NOUN
american_scientific_journal-3507	88	25	through	through	ADP
american_scientific_journal-3507	88	26	an	an	DET
american_scientific_journal-3507	88	27	open	open	ADJ
american_scientific_journal-3507	88	28	medium	medium	NOUN
american_scientific_journal-3507	88	29	like	like	ADP
american_scientific_journal-3507	88	30	air	air	NOUN
american_scientific_journal-3507	88	31	,	,	PUNCT
american_scientific_journal-3507	88	32	rivers	river	NOUN
american_scientific_journal-3507	88	33	,	,	PUNCT
american_scientific_journal-3507	88	34	lakes	lake	NOUN
american_scientific_journal-3507	88	35	and	and	CCONJ
american_scientific_journal-3507	88	36	porous	porous	ADJ
american_scientific_journal-3507	88	37	medium	medium	NOUN
american_scientific_journal-3507	88	38	on	on	ADP
american_scientific_journal-3507	88	39	the	the	DET
american_scientific_journal-3507	88	40	basis	basis	NOUN
american_scientific_journal-3507	88	41	for	for	ADP
american_scientific_journal-3507	88	42	which	which	PRON
american_scientific_journal-3507	88	43	remedial	remedial	ADJ
american_scientific_journal-3507	88	44	measures	measure	NOUN
american_scientific_journal-3507	88	45	to	to	PART
american_scientific_journal-3507	88	46	reduce	reduce	VERB
american_scientific_journal-3507	88	47	or	or	CCONJ
american_scientific_journal-3507	88	48	eliminate	eliminate	VERB
american_scientific_journal-3507	88	49	the	the	DET
american_scientific_journal-3507	88	50	damages	damage	NOUN
american_scientific_journal-3507	88	51	may	may	AUX
american_scientific_journal-3507	88	52	be	be	AUX
american_scientific_journal-3507	88	53	implemented	implement	VERB
american_scientific_journal-3507	88	54	[	[	PUNCT
american_scientific_journal-3507	88	55	11	11	NUM
american_scientific_journal-3507	88	56	]	]	PUNCT
american_scientific_journal-3507	88	57	.	.	PUNCT
american_scientific_journal-3507	89	1	2.1.1	2.1.1	NUM
american_scientific_journal-3507	89	2	convection	convection	NOUN
american_scientific_journal-3507	89	3	-	-	PUNCT
american_scientific_journal-3507	89	4	dispersion	dispersion	NOUN
american_scientific_journal-3507	89	5	equation	equation	NOUN
american_scientific_journal-3507	89	6	the	the	DET
american_scientific_journal-3507	89	7	classic	classic	ADJ
american_scientific_journal-3507	89	8	one	one	NUM
american_scientific_journal-3507	89	9	dimensional	dimensional	ADJ
american_scientific_journal-3507	89	10	cde	cde	NOUN
american_scientific_journal-3507	89	11	for	for	ADP
american_scientific_journal-3507	89	12	transport	transport	NOUN
american_scientific_journal-3507	89	13	of	of	ADP
american_scientific_journal-3507	89	14	conservative	conservative	ADJ
american_scientific_journal-3507	89	15	species	specie	NOUN
american_scientific_journal-3507	89	16	without	without	ADP
american_scientific_journal-3507	89	17	adsorption	adsorption	NOUN
american_scientific_journal-3507	89	18	or	or	CCONJ
american_scientific_journal-3507	89	19	decay	decay	NOUN
american_scientific_journal-3507	89	20	in	in	ADP
american_scientific_journal-3507	89	21	a	a	DET
american_scientific_journal-3507	89	22	partially	partially	ADV
american_scientific_journal-3507	89	23	saturated	saturate	VERB
american_scientific_journal-3507	89	24	porous	porous	ADJ
american_scientific_journal-3507	89	25	medium	medium	NOUN
american_scientific_journal-3507	89	26	can	can	AUX
american_scientific_journal-3507	89	27	be	be	AUX
american_scientific_journal-3507	89	28	written	write	VERB
american_scientific_journal-3507	89	29	as	as	ADP
american_scientific_journal-3507	89	30	[	[	X
american_scientific_journal-3507	89	31	7	7	NUM
american_scientific_journal-3507	89	32	]	]	X
american_scientific_journal-3507	89	33	:	:	PUNCT
american_scientific_journal-3507	89	34	𝜕𝜕(𝜃𝜃𝜃𝜃	𝜕𝜕(𝜃𝜃𝜃𝜃	NUM
american_scientific_journal-3507	89	35	)	)	PUNCT
american_scientific_journal-3507	89	36	𝜕𝜕𝑠𝑠	𝜕𝜕𝑠𝑠	PUNCT
american_scientific_journal-3507	90	1	=	=	PUNCT
american_scientific_journal-3507	90	2	𝜕𝜕	𝜕𝜕	NOUN
american_scientific_journal-3507	90	3	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	NOUN
american_scientific_journal-3507	90	4	�	�	NOUN
american_scientific_journal-3507	90	5	𝑣𝑣𝐷𝐷	𝑣𝑣𝐷𝐷	NOUN
american_scientific_journal-3507	90	6	𝜕𝜕𝜃𝜃	𝜕𝜕𝜃𝜃	NOUN
american_scientific_journal-3507	90	7	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	90	8	−	−	PROPN
american_scientific_journal-3507	90	9	𝑞𝑞𝐶𝐶	𝑞𝑞𝐶𝐶	NOUN
american_scientific_journal-3507	90	10	�	�	NOUN
american_scientific_journal-3507	90	11	……	……	NOUN
american_scientific_journal-3507	90	12	……	……	NOUN
american_scientific_journal-3507	90	13	……	……	NOUN
american_scientific_journal-3507	90	14	……	……	NOUN
american_scientific_journal-3507	90	15	……	……	NOUN
american_scientific_journal-3507	90	16	……	……	NOUN
american_scientific_journal-3507	90	17	……	……	NOUN
american_scientific_journal-3507	90	18	……	……	NOUN
american_scientific_journal-3507	90	19	……	……	NOUN
american_scientific_journal-3507	90	20	……	……	NOUN
american_scientific_journal-3507	90	21	……	……	NOUN
american_scientific_journal-3507	90	22	..	..	PUNCT
american_scientific_journal-3507	90	23	…	…	PUNCT
american_scientific_journal-3507	90	24	(	(	PUNCT
american_scientific_journal-3507	90	25	2.1	2.1	NUM
american_scientific_journal-3507	90	26	)	)	PUNCT
american_scientific_journal-3507	90	27	the	the	DET
american_scientific_journal-3507	90	28	comprehensive	comprehensive	ADJ
american_scientific_journal-3507	90	29	cde	cde	NOUN
american_scientific_journal-3507	90	30	for	for	ADP
american_scientific_journal-3507	90	31	one	one	NUM
american_scientific_journal-3507	90	32	-	-	PUNCT
american_scientific_journal-3507	90	33	dimensional	dimensional	ADJ
american_scientific_journal-3507	90	34	transport	transport	NOUN
american_scientific_journal-3507	90	35	of	of	ADP
american_scientific_journal-3507	90	36	reactive	reactive	ADJ
american_scientific_journal-3507	90	37	solutes	solute	NOUN
american_scientific_journal-3507	90	38	,	,	PUNCT
american_scientific_journal-3507	90	39	subject	subject	ADJ
american_scientific_journal-3507	90	40	to	to	ADP
american_scientific_journal-3507	90	41	reaction	reaction	NOUN
american_scientific_journal-3507	90	42	terms	term	NOUN
american_scientific_journal-3507	90	43	of	of	ADP
american_scientific_journal-3507	90	44	adsorption	adsorption	NOUN
american_scientific_journal-3507	90	45	,	,	PUNCT
american_scientific_journal-3507	90	46	first	first	ADJ
american_scientific_journal-3507	90	47	-	-	PUNCT
american_scientific_journal-3507	90	48	order	order	NOUN
american_scientific_journal-3507	90	49	degradation	degradation	NOUN
american_scientific_journal-3507	90	50	,	,	PUNCT
american_scientific_journal-3507	90	51	and	and	CCONJ
american_scientific_journal-3507	90	52	zero	zero	NUM
american_scientific_journal-3507	90	53	-	-	PUNCT
american_scientific_journal-3507	90	54	order	order	NOUN
american_scientific_journal-3507	90	55	production	production	NOUN
american_scientific_journal-3507	90	56	is	be	AUX
american_scientific_journal-3507	90	57	given	give	VERB
american_scientific_journal-3507	90	58	as	as	ADP
american_scientific_journal-3507	90	59	[	[	X
american_scientific_journal-3507	90	60	12	12	NUM
american_scientific_journal-3507	90	61	]	]	PUNCT
american_scientific_journal-3507	90	62	;	;	PUNCT
american_scientific_journal-3507	90	63	𝜕𝜕	𝜕𝜕	NUM
american_scientific_journal-3507	90	64	𝜕𝜕𝑠𝑠	𝜕𝜕𝑠𝑠	X
american_scientific_journal-3507	90	65	(	(	PUNCT
american_scientific_journal-3507	90	66	𝑣𝑣𝐶𝐶	𝑣𝑣𝐶𝐶	X
american_scientific_journal-3507	90	67	+	+	CCONJ
american_scientific_journal-3507	90	68	𝜌𝜌𝑏𝑏𝑆𝑆𝑠𝑠	𝜌𝜌𝑏𝑏𝑆𝑆𝑠𝑠	NOUN
american_scientific_journal-3507	90	69	)	)	PUNCT
american_scientific_journal-3507	90	70	=	=	PUNCT
american_scientific_journal-3507	91	1	𝜕𝜕	𝜕𝜕	NOUN
american_scientific_journal-3507	91	2	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	NOUN
american_scientific_journal-3507	91	3	�	�	NOUN
american_scientific_journal-3507	91	4	𝑣𝑣𝐷𝐷	𝑣𝑣𝐷𝐷	NOUN
american_scientific_journal-3507	91	5	𝜕𝜕𝜃𝜃	𝜕𝜕𝜃𝜃	NOUN
american_scientific_journal-3507	91	6	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	NOUN
american_scientific_journal-3507	91	7	−	−	PROPN
american_scientific_journal-3507	91	8	𝑞𝑞𝐶𝐶	𝑞𝑞𝐶𝐶	NUM
american_scientific_journal-3507	91	9	�	�	PROPN
american_scientific_journal-3507	91	10	−	−	PROPN
american_scientific_journal-3507	91	11	𝑣𝑣𝜇𝜇𝑙𝑙𝐶𝐶	𝑣𝑣𝜇𝜇𝑙𝑙𝐶𝐶	PROPN
american_scientific_journal-3507	91	12	−	−	PROPN
american_scientific_journal-3507	91	13	𝜌𝜌𝑏𝑏𝜇𝜇𝑠𝑠𝑆𝑆𝑠𝑠	𝜌𝜌𝑏𝑏𝜇𝜇𝑠𝑠𝑆𝑆𝑠𝑠	NOUN
american_scientific_journal-3507	91	14	+	+	NUM
american_scientific_journal-3507	91	15	𝑣𝑣𝛾𝛾𝑙𝑙(𝑧𝑧	𝑣𝑣𝛾𝛾𝑙𝑙(𝑧𝑧	NOUN
american_scientific_journal-3507	91	16	)	)	PUNCT
american_scientific_journal-3507	91	17	+	+	CCONJ
american_scientific_journal-3507	91	18	𝜌𝜌𝑏𝑏𝛾𝛾𝑆𝑆(𝑧𝑧	𝜌𝜌𝑏𝑏𝛾𝛾𝑆𝑆(𝑧𝑧	NOUN
american_scientific_journal-3507	91	19	…	…	SYM
american_scientific_journal-3507	91	20	……	……	NOUN
american_scientific_journal-3507	91	21	(	(	PUNCT
american_scientific_journal-3507	91	22	2.2	2.2	NUM
american_scientific_journal-3507	91	23	)	)	PUNCT
american_scientific_journal-3507	91	24	𝑆𝑆𝑠𝑠	𝑆𝑆𝑠𝑠	NOUN
american_scientific_journal-3507	91	25	=	=	SYM
american_scientific_journal-3507	91	26	𝑘𝑘𝑑𝑑c	𝑘𝑘𝑑𝑑c	PROPN
american_scientific_journal-3507	91	27	.........................................................................................................................	.........................................................................................................................	PUNCT
american_scientific_journal-3507	91	28	(	(	PUNCT
american_scientific_journal-3507	91	29	2.3	2.3	NUM
american_scientific_journal-3507	91	30	)	)	PUNCT
american_scientific_journal-3507	91	31	assuming	assume	VERB
american_scientific_journal-3507	91	32	reversible	reversible	ADJ
american_scientific_journal-3507	91	33	equilibrium	equilibrium	NOUN
american_scientific_journal-3507	91	34	adsorption	adsorption	NOUN
american_scientific_journal-3507	91	35	and	and	CCONJ
american_scientific_journal-3507	91	36	steady	steady	ADJ
american_scientific_journal-3507	91	37	state	state	NOUN
american_scientific_journal-3507	91	38	flow	flow	NOUN
american_scientific_journal-3507	91	39	in	in	ADP
american_scientific_journal-3507	91	40	a	a	DET
american_scientific_journal-3507	91	41	homogeneous	homogeneous	ADJ
american_scientific_journal-3507	91	42	soil	soil	NOUN
american_scientific_journal-3507	91	43	,	,	PUNCT
american_scientific_journal-3507	91	44	equation	equation	NOUN
american_scientific_journal-3507	91	45	(	(	PUNCT
american_scientific_journal-3507	91	46	2.2	2.2	NUM
american_scientific_journal-3507	91	47	)	)	PUNCT
american_scientific_journal-3507	91	48	reduces	reduce	VERB
american_scientific_journal-3507	91	49	to	to	ADP
american_scientific_journal-3507	91	50	𝑅𝑅	𝑅𝑅	PROPN
american_scientific_journal-3507	91	51	𝜕𝜕𝜃𝜃	𝜕𝜕𝜃𝜃	PUNCT
american_scientific_journal-3507	91	52	𝜕𝜕𝑠𝑠	𝜕𝜕𝑠𝑠	PUNCT
american_scientific_journal-3507	92	1	=	=	SYM
american_scientific_journal-3507	92	2	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	92	3	𝜕𝜕2𝜃𝜃	𝜕𝜕2𝜃𝜃	NOUN
american_scientific_journal-3507	92	4	𝜕𝜕𝜕𝜕2	𝜕𝜕𝜕𝜕2	VERB
american_scientific_journal-3507	92	5	−	−	PROPN
american_scientific_journal-3507	93	1	𝑞𝑞	𝑞𝑞	INTJ
american_scientific_journal-3507	93	2	𝜃𝜃	𝜃𝜃	PROPN
american_scientific_journal-3507	93	3	𝜕𝜕𝜃𝜃	𝜕𝜕𝜃𝜃	NOUN
american_scientific_journal-3507	93	4	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	NOUN
american_scientific_journal-3507	93	5	−	−	NOUN
american_scientific_journal-3507	93	6	𝜇𝜇𝐶𝐶	𝜇𝜇𝐶𝐶	NOUN
american_scientific_journal-3507	93	7	+	+	CCONJ
american_scientific_journal-3507	93	8	𝛾𝛾(𝑧𝑧	𝛾𝛾(𝑧𝑧	NOUN
american_scientific_journal-3507	93	9	)	)	PUNCT
american_scientific_journal-3507	93	10	…	…	PUNCT
american_scientific_journal-3507	93	11	…	…	PUNCT
american_scientific_journal-3507	93	12	..	..	PUNCT
american_scientific_journal-3507	93	13	…	…	PUNCT
american_scientific_journal-3507	93	14	…	…	PUNCT
american_scientific_journal-3507	93	15	……	……	NOUN
american_scientific_journal-3507	93	16	……	……	NOUN
american_scientific_journal-3507	93	17	...............................................	...............................................	PUNCT
american_scientific_journal-3507	93	18	(	(	PUNCT
american_scientific_journal-3507	93	19	2.4	2.4	NUM
american_scientific_journal-3507	93	20	)	)	PUNCT
american_scientific_journal-3507	93	21	r=1	r=1	NOUN
american_scientific_journal-3507	93	22	+	+	NOUN
american_scientific_journal-3507	93	23	𝜌𝜌𝑏𝑏𝐾𝐾𝑑𝑑	𝜌𝜌𝑏𝑏𝐾𝐾𝑑𝑑	NOUN
american_scientific_journal-3507	93	24	𝜃𝜃	𝜃𝜃	X
american_scientific_journal-3507	93	25	…	…	PUNCT
american_scientific_journal-3507	93	26	…	…	PUNCT
american_scientific_journal-3507	93	27	…	…	PUNCT
american_scientific_journal-3507	93	28	…	…	PUNCT
american_scientific_journal-3507	93	29	…	…	PUNCT
american_scientific_journal-3507	93	30	…	…	PUNCT
american_scientific_journal-3507	93	31	…	…	PUNCT
american_scientific_journal-3507	93	32	..	..	PUNCT
american_scientific_journal-3507	93	33	…	…	PUNCT
american_scientific_journal-3507	93	34	……	……	NOUN
american_scientific_journal-3507	93	35	……	……	NOUN
american_scientific_journal-3507	93	36	……	……	NOUN
american_scientific_journal-3507	93	37	……	……	NOUN
american_scientific_journal-3507	93	38	.....................................................	.....................................................	PUNCT
american_scientific_journal-3507	93	39	(	(	PUNCT
american_scientific_journal-3507	93	40	2.5	2.5	NUM
american_scientific_journal-3507	93	41	)	)	PUNCT
american_scientific_journal-3507	93	42	𝜇𝜇	𝜇𝜇	ADP
american_scientific_journal-3507	93	43	=	=	PUNCT
american_scientific_journal-3507	93	44	𝜇𝜇𝑙𝑙	𝜇𝜇𝑙𝑙	NOUN
american_scientific_journal-3507	93	45	+	+	CCONJ
american_scientific_journal-3507	93	46	𝜌𝜌𝑏𝑏𝐾𝐾𝑑𝑑𝜇𝜇𝑠𝑠	𝜌𝜌𝑏𝑏𝐾𝐾𝑑𝑑𝜇𝜇𝑠𝑠	VERB
american_scientific_journal-3507	93	47	𝜃𝜃	𝜃𝜃	PROPN
american_scientific_journal-3507	93	48	…	…	PUNCT
american_scientific_journal-3507	93	49	…	…	PUNCT
american_scientific_journal-3507	93	50	…	…	PUNCT
american_scientific_journal-3507	93	51	…	…	PUNCT
american_scientific_journal-3507	93	52	...	...	PUNCT
american_scientific_journal-3507	93	53	…	…	PUNCT
american_scientific_journal-3507	93	54	……	……	NOUN
american_scientific_journal-3507	93	55	……	……	NOUN
american_scientific_journal-3507	93	56	……	……	NOUN
american_scientific_journal-3507	93	57	……	……	NOUN
american_scientific_journal-3507	93	58	.......................................................	.......................................................	PUNCT
american_scientific_journal-3507	93	59	(	(	PUNCT
american_scientific_journal-3507	93	60	2.6	2.6	NUM
american_scientific_journal-3507	93	61	)	)	PUNCT
american_scientific_journal-3507	93	62	𝛾𝛾(𝑧𝑧	𝛾𝛾(𝑧𝑧	NOUN
american_scientific_journal-3507	93	63	)	)	PUNCT
american_scientific_journal-3507	93	64	=	=	SYM
american_scientific_journal-3507	93	65	𝛾𝛾𝑙𝑙(z	𝛾𝛾𝑙𝑙(z	PROPN
american_scientific_journal-3507	93	66	)	)	PUNCT
american_scientific_journal-3507	93	67	+	+	CCONJ
american_scientific_journal-3507	93	68	𝜌𝜌𝑏𝑏𝐾𝐾𝑑𝑑𝛾𝛾𝑠𝑠	𝜌𝜌𝑏𝑏𝐾𝐾𝑑𝑑𝛾𝛾𝑠𝑠	PROPN
american_scientific_journal-3507	93	69	𝜃𝜃	𝜃𝜃	PROPN
american_scientific_journal-3507	93	70	…	…	PUNCT
american_scientific_journal-3507	93	71	..	..	PUNCT
american_scientific_journal-3507	93	72	…	…	PUNCT
american_scientific_journal-3507	93	73	…	…	PUNCT
american_scientific_journal-3507	93	74	…	…	PUNCT
american_scientific_journal-3507	93	75	…	…	PUNCT
american_scientific_journal-3507	93	76	…	…	PUNCT
american_scientific_journal-3507	93	77	……	……	NOUN
american_scientific_journal-3507	93	78	……	……	NOUN
american_scientific_journal-3507	93	79	……	……	NOUN
american_scientific_journal-3507	93	80	……	……	NOUN
american_scientific_journal-3507	93	81	.........................................	.........................................	PUNCT
american_scientific_journal-3507	93	82	(	(	PUNCT
american_scientific_journal-3507	93	83	2.7	2.7	NUM
american_scientific_journal-3507	93	84	)	)	PUNCT
american_scientific_journal-3507	93	85	𝜇𝜇𝑙𝑙	𝜇𝜇𝑙𝑙	NOUN
american_scientific_journal-3507	93	86	,	,	PUNCT
american_scientific_journal-3507	93	87	𝜇𝜇𝑠𝑠	𝜇𝜇𝑠𝑠	NOUN
american_scientific_journal-3507	93	88	=	=	SYM
american_scientific_journal-3507	93	89	first	first	ADJ
american_scientific_journal-3507	93	90	-	-	PUNCT
american_scientific_journal-3507	93	91	order	order	NOUN
american_scientific_journal-3507	93	92	decay	decay	NOUN
american_scientific_journal-3507	93	93	coefficients	coefficient	NOUN
american_scientific_journal-3507	93	94	for	for	ADP
american_scientific_journal-3507	93	95	degradation	degradation	NOUN
american_scientific_journal-3507	93	96	of	of	ADP
american_scientific_journal-3507	93	97	the	the	DET
american_scientific_journal-3507	93	98	solute	solute	NOUN
american_scientific_journal-3507	93	99	in	in	ADP
american_scientific_journal-3507	93	100	the	the	DET
american_scientific_journal-3507	93	101	liquid	liquid	NOUN
american_scientific_journal-3507	93	102	and	and	CCONJ
american_scientific_journal-3507	93	103	adsorbed	adsorb	VERB
american_scientific_journal-3507	93	104	phases	phase	NOUN
american_scientific_journal-3507	93	105	respectively	respectively	ADV
american_scientific_journal-3507	93	106	.	.	PUNCT
american_scientific_journal-3507	94	1	𝛾𝛾𝑙𝑙	𝛾𝛾𝑙𝑙	PROPN
american_scientific_journal-3507	94	2	𝑎𝑎𝑎𝑎𝑑𝑑	𝑎𝑎𝑎𝑎𝑑𝑑	NOUN
american_scientific_journal-3507	94	3	𝛾𝛾𝑆𝑆	𝛾𝛾𝑆𝑆	NOUN
american_scientific_journal-3507	94	4	=	=	SYM
american_scientific_journal-3507	94	5	zero	zero	NUM
american_scientific_journal-3507	94	6	order	order	NOUN
american_scientific_journal-3507	94	7	production	production	NOUN
american_scientific_journal-3507	94	8	terms	term	NOUN
american_scientific_journal-3507	94	9	for	for	ADP
american_scientific_journal-3507	94	10	the	the	DET
american_scientific_journal-3507	94	11	liquid	liquid	NOUN
american_scientific_journal-3507	94	12	and	and	CCONJ
american_scientific_journal-3507	94	13	adsorbed	adsorb	VERB
american_scientific_journal-3507	94	14	respectively	respectively	ADV
american_scientific_journal-3507	94	15	.	.	PUNCT
american_scientific_journal-3507	95	1	r	r	NOUN
american_scientific_journal-3507	95	2	=	=	NOUN
american_scientific_journal-3507	95	3	retardation	retardation	NOUN
american_scientific_journal-3507	95	4	factor	factor	NOUN
american_scientific_journal-3507	95	5	,	,	PUNCT
american_scientific_journal-3507	95	6	𝜇𝜇	𝜇𝜇	NOUN
american_scientific_journal-3507	95	7	and	and	CCONJ
american_scientific_journal-3507	95	8	𝛾𝛾	𝛾𝛾	ADV
american_scientific_journal-3507	95	9	=	=	PUNCT
american_scientific_journal-3507	95	10	combined	combine	VERB
american_scientific_journal-3507	95	11	first	first	ADV
american_scientific_journal-3507	95	12	and	and	CCONJ
american_scientific_journal-3507	95	13	zero	zero	NUM
american_scientific_journal-3507	95	14	order	order	NOUN
american_scientific_journal-3507	95	15	rate	rate	NOUN
american_scientific_journal-3507	95	16	coefficients	coefficient	NOUN
american_scientific_journal-3507	95	17	respectively	respectively	ADV
american_scientific_journal-3507	95	18	.	.	PUNCT
american_scientific_journal-3507	96	1	𝑅𝑅	𝑅𝑅	PROPN
american_scientific_journal-3507	96	2	𝜕𝜕𝜃𝜃	𝜕𝜕𝜃𝜃	PART
american_scientific_journal-3507	96	3	𝜕𝜕𝑠𝑠	𝜕𝜕𝑠𝑠	PUNCT
american_scientific_journal-3507	97	1	=	=	SYM
american_scientific_journal-3507	97	2	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	97	3	𝜕𝜕2𝜃𝜃	𝜕𝜕2𝜃𝜃	NOUN
american_scientific_journal-3507	97	4	𝜕𝜕𝜕𝜕2	𝜕𝜕𝜕𝜕2	VERB
american_scientific_journal-3507	97	5	−	−	PROPN
american_scientific_journal-3507	98	1	𝑣𝑣	𝑣𝑣	PROPN
american_scientific_journal-3507	98	2	𝜕𝜕𝜃𝜃	𝜕𝜕𝜃𝜃	NOUN
american_scientific_journal-3507	98	3	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	98	4	−	−	NOUN
american_scientific_journal-3507	98	5	𝜇𝜇𝐶𝐶	𝜇𝜇𝐶𝐶	NOUN
american_scientific_journal-3507	98	6	+	+	CCONJ
american_scientific_journal-3507	98	7	𝛾𝛾(𝑧𝑧	𝛾𝛾(𝑧𝑧	NOUN
american_scientific_journal-3507	98	8	)	)	PUNCT
american_scientific_journal-3507	98	9	…	…	PUNCT
american_scientific_journal-3507	98	10	…	…	PUNCT
american_scientific_journal-3507	98	11	…	…	PUNCT
american_scientific_journal-3507	98	12	…	…	PUNCT
american_scientific_journal-3507	98	13	…	…	PUNCT
american_scientific_journal-3507	98	14	…	…	PUNCT
american_scientific_journal-3507	98	15	…	…	PUNCT
american_scientific_journal-3507	98	16	…	…	SYM
american_scientific_journal-3507	98	17	……	……	NOUN
american_scientific_journal-3507	98	18	.	.	PUNCT
american_scientific_journal-3507	99	1	……	……	NOUN
american_scientific_journal-3507	99	2	……	……	NOUN
american_scientific_journal-3507	99	3	……	……	NOUN
american_scientific_journal-3507	99	4	……	……	NOUN
american_scientific_journal-3507	99	5	................	................	PUNCT
american_scientific_journal-3507	99	6	(	(	PUNCT
american_scientific_journal-3507	99	7	2.8	2.8	NUM
american_scientific_journal-3507	99	8	)	)	PUNCT
american_scientific_journal-3507	99	9	american	american	ADJ
american_scientific_journal-3507	99	10	scientific	scientific	ADJ
american_scientific_journal-3507	99	11	research	research	NOUN
american_scientific_journal-3507	99	12	journal	journal	NOUN
american_scientific_journal-3507	99	13	for	for	ADP
american_scientific_journal-3507	99	14	engineering	engineering	NOUN
american_scientific_journal-3507	99	15	,	,	PUNCT
american_scientific_journal-3507	99	16	technology	technology	NOUN
american_scientific_journal-3507	99	17	,	,	PUNCT
american_scientific_journal-3507	99	18	and	and	CCONJ
american_scientific_journal-3507	99	19	sciences	science	NOUN
american_scientific_journal-3507	99	20	(	(	PUNCT
american_scientific_journal-3507	99	21	asrjets	asrjet	NOUN
american_scientific_journal-3507	99	22	)	)	PUNCT
american_scientific_journal-3507	99	23	(	(	PUNCT
american_scientific_journal-3507	99	24	2017	2017	NUM
american_scientific_journal-3507	99	25	)	)	PUNCT
american_scientific_journal-3507	99	26	volume	volume	NOUN
american_scientific_journal-3507	99	27	38	38	NUM
american_scientific_journal-3507	99	28	,	,	PUNCT
american_scientific_journal-3507	99	29	no	no	DET
american_scientific_journal-3507	99	30	1	1	NUM
american_scientific_journal-3507	99	31	,	,	PUNCT
american_scientific_journal-3507	99	32	pp	pp	ADV
american_scientific_journal-3507	99	33	235	235	NUM
american_scientific_journal-3507	99	34	-	-	SYM
american_scientific_journal-3507	99	35	249	249	NUM
american_scientific_journal-3507	99	36	241	241	NUM
american_scientific_journal-3507	99	37	2.2	2.2	NUM
american_scientific_journal-3507	99	38	assumptions	assumption	NOUN
american_scientific_journal-3507	99	39	•	•	NOUN
american_scientific_journal-3507	99	40	nitrate	nitrate	NOUN
american_scientific_journal-3507	99	41	transport	transport	NOUN
american_scientific_journal-3507	99	42	occurs	occur	VERB
american_scientific_journal-3507	99	43	in	in	ADP
american_scientific_journal-3507	99	44	the	the	DET
american_scientific_journal-3507	99	45	vertical	vertical	ADJ
american_scientific_journal-3507	99	46	direction	direction	NOUN
american_scientific_journal-3507	99	47	only	only	ADV
american_scientific_journal-3507	99	48	.	.	PUNCT
american_scientific_journal-3507	100	1	•	•	NOUN
american_scientific_journal-3507	100	2	the	the	DET
american_scientific_journal-3507	100	3	soil	soil	NOUN
american_scientific_journal-3507	100	4	is	be	AUX
american_scientific_journal-3507	100	5	homogeneous	homogeneous	ADJ
american_scientific_journal-3507	100	6	and	and	CCONJ
american_scientific_journal-3507	100	7	unsaturated	unsaturated	ADJ
american_scientific_journal-3507	100	8	.	.	PUNCT
american_scientific_journal-3507	101	1	•	•	NOUN
american_scientific_journal-3507	101	2	nitrate	nitrate	NOUN
american_scientific_journal-3507	101	3	transport	transport	NOUN
american_scientific_journal-3507	101	4	is	be	AUX
american_scientific_journal-3507	101	5	affected	affect	VERB
american_scientific_journal-3507	101	6	by	by	ADP
american_scientific_journal-3507	101	7	only	only	ADJ
american_scientific_journal-3507	101	8	convection	convection	NOUN
american_scientific_journal-3507	101	9	,	,	PUNCT
american_scientific_journal-3507	101	10	and	and	CCONJ
american_scientific_journal-3507	101	11	hydrodynamic	hydrodynamic	ADJ
american_scientific_journal-3507	101	12	dispersion	dispersion	NOUN
american_scientific_journal-3507	101	13	(	(	PUNCT
american_scientific_journal-3507	101	14	combined	combined	ADJ
american_scientific_journal-3507	101	15	dispersion	dispersion	NOUN
american_scientific_journal-3507	101	16	and	and	CCONJ
american_scientific_journal-3507	101	17	diffusion	diffusion	NOUN
american_scientific_journal-3507	101	18	)	)	PUNCT
american_scientific_journal-3507	101	19	processes	process	NOUN
american_scientific_journal-3507	101	20	.	.	PUNCT
american_scientific_journal-3507	102	1	any	any	DET
american_scientific_journal-3507	102	2	other	other	ADJ
american_scientific_journal-3507	102	3	solute	solute	NOUN
american_scientific_journal-3507	102	4	process	process	NOUN
american_scientific_journal-3507	102	5	is	be	AUX
american_scientific_journal-3507	102	6	negligible	negligible	ADJ
american_scientific_journal-3507	102	7	.	.	PUNCT
american_scientific_journal-3507	103	1	•	•	NUM
american_scientific_journal-3507	103	2	nitrate	nitrate	NOUN
american_scientific_journal-3507	103	3	is	be	AUX
american_scientific_journal-3507	103	4	non	non	ADJ
american_scientific_journal-3507	103	5	-	-	ADJ
american_scientific_journal-3507	103	6	adsorbing	adsorbing	ADJ
american_scientific_journal-3507	103	7	solute	solute	ADJ
american_scientific_journal-3507	103	8	2.3	2.3	NUM
american_scientific_journal-3507	103	9	initial	initial	ADJ
american_scientific_journal-3507	103	10	and	and	CCONJ
american_scientific_journal-3507	103	11	boundary	boundary	ADJ
american_scientific_journal-3507	103	12	conditions	condition	NOUN
american_scientific_journal-3507	103	13	𝐶𝐶(𝑧𝑧	𝐶𝐶(𝑧𝑧	NOUN
american_scientific_journal-3507	103	14	,	,	PUNCT
american_scientific_journal-3507	103	15	0	0	NUM
american_scientific_journal-3507	103	16	)	)	PUNCT
american_scientific_journal-3507	103	17	=	=	SYM
american_scientific_journal-3507	103	18	0	0	PUNCT
american_scientific_journal-3507	103	19	0	0	X
american_scientific_journal-3507	103	20	≤	≤	NOUN
american_scientific_journal-3507	103	21	𝑧𝑧	𝑧𝑧	PRON
american_scientific_journal-3507	103	22	≤	≤	ADJ
american_scientific_journal-3507	103	23	∞	∞	PROPN
american_scientific_journal-3507	103	24	,	,	PUNCT
american_scientific_journal-3507	103	25	𝑡𝑡	𝑡𝑡	NOUN
american_scientific_journal-3507	103	26	=	=	SYM
american_scientific_journal-3507	103	27	0	0	NUM
american_scientific_journal-3507	103	28	…	…	PUNCT
american_scientific_journal-3507	103	29	…	…	PUNCT
american_scientific_journal-3507	103	30	..	..	PUNCT
american_scientific_journal-3507	103	31	…	…	PUNCT
american_scientific_journal-3507	103	32	…	…	PUNCT
american_scientific_journal-3507	103	33	…	…	PUNCT
american_scientific_journal-3507	103	34	…	…	PUNCT
american_scientific_journal-3507	103	35	…	…	PUNCT
american_scientific_journal-3507	103	36	…	…	PUNCT
american_scientific_journal-3507	103	37	……	……	NOUN
american_scientific_journal-3507	103	38	……	……	NOUN
american_scientific_journal-3507	103	39	……	……	NOUN
american_scientific_journal-3507	103	40	……	……	NOUN
american_scientific_journal-3507	103	41	……	……	NOUN
american_scientific_journal-3507	103	42	……	……	NOUN
american_scientific_journal-3507	103	43	.	.	PUNCT
american_scientific_journal-3507	104	1	(	(	PUNCT
american_scientific_journal-3507	104	2	2.9	2.9	NUM
american_scientific_journal-3507	104	3	)	)	PUNCT
american_scientific_journal-3507	104	4	𝐶𝐶(0	𝐶𝐶(0	PROPN
american_scientific_journal-3507	104	5	,	,	PUNCT
american_scientific_journal-3507	104	6	𝑡𝑡	𝑡𝑡	NOUN
american_scientific_journal-3507	104	7	)	)	PUNCT
american_scientific_journal-3507	104	8	=	=	SYM
american_scientific_journal-3507	104	9	𝐶𝐶0	𝐶𝐶0	PROPN
american_scientific_journal-3507	104	10	𝑧𝑧	𝑧𝑧	ADP
american_scientific_journal-3507	104	11	=	=	NOUN
american_scientific_journal-3507	104	12	0	0	NUM
american_scientific_journal-3507	104	13	,	,	PUNCT
american_scientific_journal-3507	104	14	𝑡𝑡	𝑡𝑡	PROPN
american_scientific_journal-3507	104	15	>	>	X
american_scientific_journal-3507	104	16	0	0	NUM
american_scientific_journal-3507	104	17	…	…	SYM
american_scientific_journal-3507	104	18	..	..	PUNCT
american_scientific_journal-3507	104	19	…	…	PUNCT
american_scientific_journal-3507	104	20	……	……	NOUN
american_scientific_journal-3507	104	21	...	...	PUNCT
american_scientific_journal-3507	104	22	……	……	NOUN
american_scientific_journal-3507	104	23	……	……	NOUN
american_scientific_journal-3507	104	24	……	……	NOUN
american_scientific_journal-3507	104	25	……	……	NOUN
american_scientific_journal-3507	104	26	……	……	NOUN
american_scientific_journal-3507	104	27	……	……	NOUN
american_scientific_journal-3507	104	28	……	……	NOUN
american_scientific_journal-3507	104	29	……	……	NOUN
american_scientific_journal-3507	104	30	……	……	NOUN
american_scientific_journal-3507	104	31	(	(	PUNCT
american_scientific_journal-3507	104	32	2.10	2.10	NUM
american_scientific_journal-3507	104	33	)	)	PUNCT
american_scientific_journal-3507	104	34	𝐶𝐶(∞	𝐶𝐶(∞	PROPN
american_scientific_journal-3507	104	35	,	,	PUNCT
american_scientific_journal-3507	104	36	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-3507	104	37	)	)	PUNCT
american_scientific_journal-3507	104	38	=	=	SYM
american_scientific_journal-3507	104	39	0	0	NUM
american_scientific_journal-3507	104	40	𝑧𝑧	𝑧𝑧	ADP
american_scientific_journal-3507	104	41	→	→	SYM
american_scientific_journal-3507	104	42	∞	∞	PROPN
american_scientific_journal-3507	104	43	,	,	PUNCT
american_scientific_journal-3507	104	44	𝑡𝑡	𝑡𝑡	PROPN
american_scientific_journal-3507	104	45	>	>	X
american_scientific_journal-3507	104	46	0	0	NUM
american_scientific_journal-3507	104	47	…	…	PUNCT
american_scientific_journal-3507	104	48	...	...	PUNCT
american_scientific_journal-3507	104	49	…	…	PUNCT
american_scientific_journal-3507	104	50	…	…	PUNCT
american_scientific_journal-3507	104	51	…	…	PUNCT
american_scientific_journal-3507	104	52	…	…	PUNCT
american_scientific_journal-3507	104	53	…	…	PUNCT
american_scientific_journal-3507	104	54	…	…	PUNCT
american_scientific_journal-3507	104	55	…	…	PUNCT
american_scientific_journal-3507	104	56	…	…	SYM
american_scientific_journal-3507	104	57	……	……	NOUN
american_scientific_journal-3507	104	58	.	.	PUNCT
american_scientific_journal-3507	104	59	……	……	NOUN
american_scientific_journal-3507	104	60	……	……	NOUN
american_scientific_journal-3507	104	61	……	……	NOUN
american_scientific_journal-3507	104	62	……	……	NOUN
american_scientific_journal-3507	104	63	……	……	NOUN
american_scientific_journal-3507	104	64	..	..	PUNCT
american_scientific_journal-3507	104	65	(	(	PUNCT
american_scientific_journal-3507	104	66	2.11	2.11	NUM
american_scientific_journal-3507	104	67	)	)	PUNCT
american_scientific_journal-3507	104	68	2.4	2.4	NUM
american_scientific_journal-3507	104	69	laplace	laplace	NOUN
american_scientific_journal-3507	104	70	transform	transform	NOUN
american_scientific_journal-3507	104	71	solution	solution	NOUN
american_scientific_journal-3507	104	72	of	of	ADP
american_scientific_journal-3507	104	73	the	the	DET
american_scientific_journal-3507	104	74	cde	cde	NOUN
american_scientific_journal-3507	104	75	applying	apply	VERB
american_scientific_journal-3507	104	76	the	the	DET
american_scientific_journal-3507	104	77	assumptions	assumption	NOUN
american_scientific_journal-3507	104	78	,	,	PUNCT
american_scientific_journal-3507	104	79	equation	equation	NOUN
american_scientific_journal-3507	104	80	(	(	PUNCT
american_scientific_journal-3507	104	81	2.8	2.8	NUM
american_scientific_journal-3507	104	82	)	)	PUNCT
american_scientific_journal-3507	104	83	reduces	reduce	VERB
american_scientific_journal-3507	104	84	to	to	PART
american_scientific_journal-3507	104	85	∂c	∂c	VERB
american_scientific_journal-3507	104	86	∂t	∂t	PROPN
american_scientific_journal-3507	104	87	=	=	SYM
american_scientific_journal-3507	104	88	d	d	PROPN
american_scientific_journal-3507	104	89	∂2c	∂2c	PROPN
american_scientific_journal-3507	104	90	∂z2	∂z2	PROPN
american_scientific_journal-3507	104	91	−	−	PROPN
american_scientific_journal-3507	104	92	v	v	PROPN
american_scientific_journal-3507	104	93	∂c	∂c	PROPN
american_scientific_journal-3507	104	94	∂z	∂z	PROPN
american_scientific_journal-3507	104	95	…	…	PUNCT
american_scientific_journal-3507	104	96	…	…	PUNCT
american_scientific_journal-3507	104	97	…	…	PUNCT
american_scientific_journal-3507	104	98	…	…	PUNCT
american_scientific_journal-3507	104	99	…	…	PUNCT
american_scientific_journal-3507	104	100	…	…	PUNCT
american_scientific_journal-3507	104	101	…	…	PUNCT
american_scientific_journal-3507	104	102	…	…	PUNCT
american_scientific_journal-3507	104	103	…	…	PUNCT
american_scientific_journal-3507	104	104	…	…	PUNCT
american_scientific_journal-3507	104	105	……	……	NOUN
american_scientific_journal-3507	104	106	……	……	NOUN
american_scientific_journal-3507	104	107	……	……	NOUN
american_scientific_journal-3507	104	108	……	……	NOUN
american_scientific_journal-3507	104	109	.	.	PUNCT
american_scientific_journal-3507	104	110	……	……	NOUN
american_scientific_journal-3507	104	111	……	……	NOUN
american_scientific_journal-3507	104	112	.	.	PUNCT
american_scientific_journal-3507	105	1	…	…	PUNCT
american_scientific_journal-3507	105	2	……	……	NOUN
american_scientific_journal-3507	105	3	…	…	PUNCT
american_scientific_journal-3507	105	4	……	……	NOUN
american_scientific_journal-3507	105	5	(	(	PUNCT
american_scientific_journal-3507	105	6	2.12	2.12	NUM
american_scientific_journal-3507	105	7	)	)	PUNCT
american_scientific_journal-3507	105	8	laplace	laplace	NOUN
american_scientific_journal-3507	105	9	transform	transform	VERB
american_scientific_journal-3507	105	10	with	with	ADP
american_scientific_journal-3507	105	11	respect	respect	NOUN
american_scientific_journal-3507	105	12	to	to	ADP
american_scientific_journal-3507	105	13	time	time	NOUN
american_scientific_journal-3507	105	14	is	be	AUX
american_scientific_journal-3507	105	15	defined	define	VERB
american_scientific_journal-3507	105	16	as	as	ADP
american_scientific_journal-3507	105	17	𝐿𝐿[𝑐𝑐(𝑧𝑧	𝐿𝐿[𝑐𝑐(𝑧𝑧	NOUN
american_scientific_journal-3507	105	18	,	,	PUNCT
american_scientific_journal-3507	105	19	𝑡𝑡	𝑡𝑡	NOUN
american_scientific_journal-3507	105	20	)	)	PUNCT
american_scientific_journal-3507	105	21	]	]	PUNCT
american_scientific_journal-3507	106	1	=	=	SYM
american_scientific_journal-3507	106	2	𝑐𝑐	𝑐𝑐	PROPN
american_scientific_journal-3507	106	3	�	�	PROPN
american_scientific_journal-3507	106	4	(	(	PUNCT
american_scientific_journal-3507	106	5	𝑧𝑧	𝑧𝑧	PROPN
american_scientific_journal-3507	106	6	,	,	PUNCT
american_scientific_journal-3507	106	7	𝑠𝑠	𝑠𝑠	PROPN
american_scientific_journal-3507	106	8	)	)	PUNCT
american_scientific_journal-3507	106	9	=	=	SYM
american_scientific_journal-3507	106	10	∫	∫	PROPN
american_scientific_journal-3507	106	11	𝑐𝑐(𝑧𝑧	𝑐𝑐(𝑧𝑧	PROPN
american_scientific_journal-3507	106	12	,	,	PUNCT
american_scientific_journal-3507	106	13	𝑡𝑡)𝑒𝑒−𝑠𝑠𝑠𝑠∞	𝑡𝑡)𝑒𝑒−𝑠𝑠𝑠𝑠∞	PROPN
american_scientific_journal-3507	106	14	0	0	NUM
american_scientific_journal-3507	106	15	𝑑𝑑𝑡𝑡	𝑑𝑑𝑡𝑡	VERB
american_scientific_journal-3507	106	16	…	…	PUNCT
american_scientific_journal-3507	106	17	…	…	PUNCT
american_scientific_journal-3507	106	18	..	..	PUNCT
american_scientific_journal-3507	106	19	…	…	PUNCT
american_scientific_journal-3507	106	20	…	…	PUNCT
american_scientific_journal-3507	106	21	…	…	PUNCT
american_scientific_journal-3507	106	22	…	…	PUNCT
american_scientific_journal-3507	106	23	……	……	NOUN
american_scientific_journal-3507	106	24	……	……	NOUN
american_scientific_journal-3507	106	25	……	……	NOUN
american_scientific_journal-3507	106	26	……	……	NOUN
american_scientific_journal-3507	106	27	……	……	NOUN
american_scientific_journal-3507	106	28	……	……	NOUN
american_scientific_journal-3507	106	29	(	(	PUNCT
american_scientific_journal-3507	106	30	2.13	2.13	NUM
american_scientific_journal-3507	106	31	)	)	PUNCT
american_scientific_journal-3507	106	32	applying	apply	VERB
american_scientific_journal-3507	106	33	laplace	laplace	NOUN
american_scientific_journal-3507	106	34	transform	transform	NOUN
american_scientific_journal-3507	106	35	with	with	ADP
american_scientific_journal-3507	106	36	respect	respect	NOUN
american_scientific_journal-3507	106	37	to	to	ADP
american_scientific_journal-3507	106	38	time	time	NOUN
american_scientific_journal-3507	106	39	to	to	ADP
american_scientific_journal-3507	106	40	equation	equation	NOUN
american_scientific_journal-3507	106	41	(	(	PUNCT
american_scientific_journal-3507	106	42	2.12	2.12	NUM
american_scientific_journal-3507	106	43	)	)	PUNCT
american_scientific_journal-3507	106	44	gave	give	VERB
american_scientific_journal-3507	106	45	:	:	PUNCT
american_scientific_journal-3507	106	46	𝐿𝐿	𝐿𝐿	PROPN
american_scientific_journal-3507	106	47	�	�	PROPN
american_scientific_journal-3507	106	48	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	106	49	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	NOUN
american_scientific_journal-3507	106	50	�	�	PROPN
american_scientific_journal-3507	106	51	=	=	SYM
american_scientific_journal-3507	106	52	𝐿𝐿	𝐿𝐿	PROPN
american_scientific_journal-3507	106	53	�	�	PROPN
american_scientific_journal-3507	106	54	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	106	55	𝜕𝜕2𝑦𝑦	𝜕𝜕2𝑦𝑦	NOUN
american_scientific_journal-3507	106	56	𝜕𝜕𝜕𝜕2	𝜕𝜕𝜕𝜕2	PROPN
american_scientific_journal-3507	106	57	�	�	PROPN
american_scientific_journal-3507	106	58	−	−	PROPN
american_scientific_journal-3507	106	59	𝐿𝐿	𝐿𝐿	PROPN
american_scientific_journal-3507	106	60	�	�	PROPN
american_scientific_journal-3507	106	61	𝑣𝑣	𝑣𝑣	PROPN
american_scientific_journal-3507	106	62	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	106	63	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	106	64	�	�	PROPN
american_scientific_journal-3507	106	65	…	…	SYM
american_scientific_journal-3507	106	66	…	…	PUNCT
american_scientific_journal-3507	106	67	…	…	PUNCT
american_scientific_journal-3507	106	68	…	…	PUNCT
american_scientific_journal-3507	106	69	…	…	PUNCT
american_scientific_journal-3507	106	70	…	…	PUNCT
american_scientific_journal-3507	106	71	…	…	PUNCT
american_scientific_journal-3507	106	72	…	…	PUNCT
american_scientific_journal-3507	106	73	…	…	PUNCT
american_scientific_journal-3507	106	74	…	…	PUNCT
american_scientific_journal-3507	106	75	……	……	NOUN
american_scientific_journal-3507	106	76	……	……	NOUN
american_scientific_journal-3507	106	77	.	.	PUNCT
american_scientific_journal-3507	106	78	……	……	NOUN
american_scientific_journal-3507	106	79	……	……	NOUN
american_scientific_journal-3507	106	80	……	……	NOUN
american_scientific_journal-3507	106	81	……	……	NOUN
american_scientific_journal-3507	106	82	……	……	NOUN
american_scientific_journal-3507	106	83	................	................	PUNCT
american_scientific_journal-3507	106	84	(	(	PUNCT
american_scientific_journal-3507	106	85	2.14	2.14	NUM
american_scientific_journal-3507	106	86	)	)	PUNCT
american_scientific_journal-3507	106	87	the	the	DET
american_scientific_journal-3507	106	88	laplace	laplace	NOUN
american_scientific_journal-3507	106	89	transforms	transform	VERB
american_scientific_journal-3507	106	90	are	be	AUX
american_scientific_journal-3507	106	91	;	;	PUNCT
american_scientific_journal-3507	107	1	[	[	X
american_scientific_journal-3507	107	2	13	13	NUM
american_scientific_journal-3507	107	3	]	]	SYM
american_scientific_journal-3507	107	4	𝐿𝐿{𝑓𝑓(𝑡𝑡	𝐿𝐿{𝑓𝑓(𝑡𝑡	NOUN
american_scientific_journal-3507	107	5	)	)	PUNCT
american_scientific_journal-3507	107	6	}	}	PUNCT
american_scientific_journal-3507	107	7	=	=	SYM
american_scientific_journal-3507	107	8	∫	∫	PROPN
american_scientific_journal-3507	107	9	𝑓𝑓(𝑡𝑡)𝑒𝑒−𝑠𝑠𝑠𝑠𝑑𝑑𝑡𝑡	𝑓𝑓(𝑡𝑡)𝑒𝑒−𝑠𝑠𝑠𝑠𝑑𝑑𝑡𝑡	PROPN
american_scientific_journal-3507	107	10	=	=	PUNCT
american_scientific_journal-3507	107	11	𝐹𝐹(𝑠𝑠)∞	𝐹𝐹(𝑠𝑠)∞	ADP
american_scientific_journal-3507	107	12	0	0	NUM
american_scientific_journal-3507	107	13	…	…	PUNCT
american_scientific_journal-3507	107	14	…	…	NUM
american_scientific_journal-3507	107	15	.	.	PUNCT
american_scientific_journal-3507	107	16	…	…	PUNCT
american_scientific_journal-3507	107	17	……	……	NOUN
american_scientific_journal-3507	107	18	……	……	NOUN
american_scientific_journal-3507	107	19	……	……	NOUN
american_scientific_journal-3507	107	20	……	……	NOUN
american_scientific_journal-3507	107	21	……	……	NOUN
american_scientific_journal-3507	107	22	……	……	NOUN
american_scientific_journal-3507	107	23	……	……	NOUN
american_scientific_journal-3507	107	24	...	...	PUNCT
american_scientific_journal-3507	107	25	……	……	NOUN
american_scientific_journal-3507	107	26	……	……	NOUN
american_scientific_journal-3507	107	27	……	……	NOUN
american_scientific_journal-3507	107	28	……	……	NOUN
american_scientific_journal-3507	107	29	...	...	PUNCT
american_scientific_journal-3507	107	30	(	(	PUNCT
american_scientific_journal-3507	107	31	2.15	2.15	NUM
american_scientific_journal-3507	107	32	)	)	PUNCT
american_scientific_journal-3507	107	33	𝐿𝐿{𝑓𝑓′(𝑡𝑡	𝐿𝐿{𝑓𝑓′(𝑡𝑡	NOUN
american_scientific_journal-3507	107	34	)	)	PUNCT
american_scientific_journal-3507	107	35	}	}	PUNCT
american_scientific_journal-3507	107	36	=	=	SYM
american_scientific_journal-3507	107	37	𝑠𝑠𝐹𝐹(𝑠𝑠	𝑠𝑠𝐹𝐹(𝑠𝑠	NOUN
american_scientific_journal-3507	107	38	)	)	PUNCT
american_scientific_journal-3507	107	39	−	−	PROPN
american_scientific_journal-3507	108	1	𝑓𝑓(0	𝑓𝑓(0	NOUN
american_scientific_journal-3507	108	2	)	)	PUNCT
american_scientific_journal-3507	109	1	……	……	NOUN
american_scientific_journal-3507	109	2	……	……	NOUN
american_scientific_journal-3507	109	3	...	...	PUNCT
american_scientific_journal-3507	109	4	……	……	NOUN
american_scientific_journal-3507	109	5	……	……	NOUN
american_scientific_journal-3507	109	6	……	……	NOUN
american_scientific_journal-3507	109	7	……	……	NOUN
american_scientific_journal-3507	109	8	……	……	NOUN
american_scientific_journal-3507	109	9	……	……	NOUN
american_scientific_journal-3507	109	10	……	……	NOUN
american_scientific_journal-3507	109	11	……	……	NOUN
american_scientific_journal-3507	109	12	……	……	NOUN
american_scientific_journal-3507	109	13	……	……	NOUN
american_scientific_journal-3507	109	14	……	……	NOUN
american_scientific_journal-3507	109	15	……	……	NOUN
american_scientific_journal-3507	109	16	.	.	PUNCT
american_scientific_journal-3507	110	1	…	…	PUNCT
american_scientific_journal-3507	110	2	(	(	PUNCT
american_scientific_journal-3507	110	3	2.16	2.16	NUM
american_scientific_journal-3507	110	4	)	)	PUNCT
american_scientific_journal-3507	110	5	𝐿𝐿	𝐿𝐿	PROPN
american_scientific_journal-3507	110	6	�	�	PROPN
american_scientific_journal-3507	110	7	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	110	8	𝜕𝜕𝑠𝑠	𝜕𝜕𝑠𝑠	NOUN
american_scientific_journal-3507	110	9	�	�	PROPN
american_scientific_journal-3507	110	10	=	=	SYM
american_scientific_journal-3507	110	11	𝑠𝑠𝑐𝑐̅	𝑠𝑠𝑐𝑐̅	PROPN
american_scientific_journal-3507	110	12	−	−	NUM
american_scientific_journal-3507	110	13	𝑐𝑐(𝑧𝑧	𝑐𝑐(𝑧𝑧	NOUN
american_scientific_journal-3507	110	14	,	,	PUNCT
american_scientific_journal-3507	110	15	0)	0)	NOUN
american_scientific_journal-3507	110	16	…	…	SYM
american_scientific_journal-3507	110	17	…	…	PUNCT
american_scientific_journal-3507	110	18	…	…	PUNCT
american_scientific_journal-3507	110	19	…	…	SYM
american_scientific_journal-3507	110	20	.	.	NUM
american_scientific_journal-3507	110	21	…	…	PUNCT
american_scientific_journal-3507	110	22	…	…	PUNCT
american_scientific_journal-3507	110	23	…	…	PUNCT
american_scientific_journal-3507	110	24	…	…	PUNCT
american_scientific_journal-3507	110	25	…	…	PUNCT
american_scientific_journal-3507	110	26	…	…	PUNCT
american_scientific_journal-3507	110	27	…	…	PUNCT
american_scientific_journal-3507	110	28	…	…	PUNCT
american_scientific_journal-3507	110	29	…	…	PUNCT
american_scientific_journal-3507	110	30	…	…	PUNCT
american_scientific_journal-3507	110	31	…	…	PUNCT
american_scientific_journal-3507	110	32	…	…	PUNCT
american_scientific_journal-3507	110	33	…	…	PUNCT
american_scientific_journal-3507	110	34	…	…	PUNCT
american_scientific_journal-3507	110	35	…	…	PUNCT
american_scientific_journal-3507	110	36	…	…	PUNCT
american_scientific_journal-3507	110	37	…	…	PUNCT
american_scientific_journal-3507	110	38	…	…	PUNCT
american_scientific_journal-3507	110	39	…	…	PUNCT
american_scientific_journal-3507	110	40	..........................................	..........................................	PUNCT
american_scientific_journal-3507	110	41	(2.17	(2.17	NOUN
american_scientific_journal-3507	110	42	)	)	PUNCT
american_scientific_journal-3507	110	43	applying	apply	VERB
american_scientific_journal-3507	110	44	the	the	DET
american_scientific_journal-3507	110	45	initial	initial	ADJ
american_scientific_journal-3507	110	46	condition	condition	NOUN
american_scientific_journal-3507	110	47	,	,	PUNCT
american_scientific_journal-3507	110	48	equation	equation	NOUN
american_scientific_journal-3507	110	49	(	(	PUNCT
american_scientific_journal-3507	110	50	2.17	2.17	NUM
american_scientific_journal-3507	110	51	)	)	PUNCT
american_scientific_journal-3507	110	52	becomes	become	VERB
american_scientific_journal-3507	110	53	:	:	PUNCT
american_scientific_journal-3507	110	54	𝐿𝐿	𝐿𝐿	PROPN
american_scientific_journal-3507	110	55	�	�	PROPN
american_scientific_journal-3507	110	56	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	110	57	𝜕𝜕𝑠𝑠	𝜕𝜕𝑠𝑠	NOUN
american_scientific_journal-3507	110	58	�	�	PROPN
american_scientific_journal-3507	110	59	=	=	SYM
american_scientific_journal-3507	110	60	𝑠𝑠𝑐𝑐̅	𝑠𝑠𝑐𝑐̅	PROPN
american_scientific_journal-3507	110	61	−	−	NUM
american_scientific_journal-3507	110	62	𝑐𝑐(𝑧𝑧	𝑐𝑐(𝑧𝑧	NOUN
american_scientific_journal-3507	110	63	,	,	PUNCT
american_scientific_journal-3507	110	64	0	0	NUM
american_scientific_journal-3507	110	65	)	)	PUNCT
american_scientific_journal-3507	110	66	……	……	NOUN
american_scientific_journal-3507	110	67	……	……	NOUN
american_scientific_journal-3507	110	68	……	……	NOUN
american_scientific_journal-3507	110	69	……	……	NOUN
american_scientific_journal-3507	110	70	……	……	NOUN
american_scientific_journal-3507	110	71	……	……	NOUN
american_scientific_journal-3507	110	72	……	……	NOUN
american_scientific_journal-3507	110	73	……	……	NOUN
american_scientific_journal-3507	110	74	……	……	NOUN
american_scientific_journal-3507	110	75	……	……	NOUN
american_scientific_journal-3507	110	76	……	……	NOUN
american_scientific_journal-3507	110	77	……	……	NOUN
american_scientific_journal-3507	110	78	……	……	NOUN
american_scientific_journal-3507	110	79	……	……	NOUN
american_scientific_journal-3507	110	80	……	……	NOUN
american_scientific_journal-3507	110	81	……	……	NOUN
american_scientific_journal-3507	110	82	...	...	PUNCT
american_scientific_journal-3507	110	83	(	(	PUNCT
american_scientific_journal-3507	110	84	2.18	2.18	NUM
american_scientific_journal-3507	110	85	)	)	PUNCT
american_scientific_journal-3507	110	86	american	american	ADJ
american_scientific_journal-3507	110	87	scientific	scientific	ADJ
american_scientific_journal-3507	110	88	research	research	NOUN
american_scientific_journal-3507	110	89	journal	journal	NOUN
american_scientific_journal-3507	110	90	for	for	ADP
american_scientific_journal-3507	110	91	engineering	engineering	NOUN
american_scientific_journal-3507	110	92	,	,	PUNCT
american_scientific_journal-3507	110	93	technology	technology	NOUN
american_scientific_journal-3507	110	94	,	,	PUNCT
american_scientific_journal-3507	110	95	and	and	CCONJ
american_scientific_journal-3507	110	96	sciences	science	NOUN
american_scientific_journal-3507	110	97	(	(	PUNCT
american_scientific_journal-3507	110	98	asrjets	asrjet	NOUN
american_scientific_journal-3507	110	99	)	)	PUNCT
american_scientific_journal-3507	110	100	(	(	PUNCT
american_scientific_journal-3507	110	101	2017	2017	NUM
american_scientific_journal-3507	110	102	)	)	PUNCT
american_scientific_journal-3507	110	103	volume	volume	NOUN
american_scientific_journal-3507	110	104	38	38	NUM
american_scientific_journal-3507	110	105	,	,	PUNCT
american_scientific_journal-3507	110	106	no	no	DET
american_scientific_journal-3507	110	107	1	1	NUM
american_scientific_journal-3507	110	108	,	,	PUNCT
american_scientific_journal-3507	110	109	pp	pp	ADV
american_scientific_journal-3507	110	110	235	235	NUM
american_scientific_journal-3507	110	111	-	-	SYM
american_scientific_journal-3507	110	112	249	249	NUM
american_scientific_journal-3507	110	113	242	242	NUM
american_scientific_journal-3507	110	114	𝐿𝐿	𝐿𝐿	PROPN
american_scientific_journal-3507	110	115	�	�	PROPN
american_scientific_journal-3507	110	116	𝑣𝑣	𝑣𝑣	PROPN
american_scientific_journal-3507	110	117	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	110	118	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	NOUN
american_scientific_journal-3507	110	119	�	�	PROPN
american_scientific_journal-3507	110	120	=	=	SYM
american_scientific_journal-3507	110	121	𝑣𝑣	𝑣𝑣	NUM
american_scientific_journal-3507	110	122	∫	∫	PROPN
american_scientific_journal-3507	110	123	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	110	124	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	110	125	𝑒𝑒−𝑠𝑠𝑠𝑠𝑑𝑑𝑡𝑡∞	𝑒𝑒−𝑠𝑠𝑠𝑠𝑑𝑑𝑡𝑡∞	PROPN
american_scientific_journal-3507	110	126	0	0	NUM
american_scientific_journal-3507	110	127	…	…	PUNCT
american_scientific_journal-3507	110	128	…	…	PUNCT
american_scientific_journal-3507	110	129	.	.	PUNCT
american_scientific_journal-3507	111	1	……	……	NOUN
american_scientific_journal-3507	111	2	……	……	NOUN
american_scientific_journal-3507	111	3	……	……	NOUN
american_scientific_journal-3507	111	4	……	……	NOUN
american_scientific_journal-3507	111	5	……	……	NOUN
american_scientific_journal-3507	111	6	……	……	NOUN
american_scientific_journal-3507	111	7	……	……	NOUN
american_scientific_journal-3507	111	8	……	……	NOUN
american_scientific_journal-3507	111	9	……	……	NOUN
american_scientific_journal-3507	111	10	……	……	NOUN
american_scientific_journal-3507	111	11	……	……	NOUN
american_scientific_journal-3507	111	12	……	……	NOUN
american_scientific_journal-3507	111	13	……	……	NOUN
american_scientific_journal-3507	111	14	……	……	NOUN
american_scientific_journal-3507	111	15	.	.	PUNCT
american_scientific_journal-3507	112	1	(	(	PUNCT
american_scientific_journal-3507	112	2	2.19	2.19	NUM
american_scientific_journal-3507	112	3	)	)	PUNCT
american_scientific_journal-3507	112	4	since	since	SCONJ
american_scientific_journal-3507	112	5	the	the	DET
american_scientific_journal-3507	112	6	integral	integral	NOUN
american_scientific_journal-3507	112	7	of	of	ADP
american_scientific_journal-3507	112	8	derivative	derivative	ADJ
american_scientific_journal-3507	112	9	=	=	NOUN
american_scientific_journal-3507	112	10	derivative	derivative	NOUN
american_scientific_journal-3507	112	11	of	of	ADP
american_scientific_journal-3507	112	12	integral	integral	ADJ
american_scientific_journal-3507	112	13	,	,	PUNCT
american_scientific_journal-3507	112	14	then	then	ADV
american_scientific_journal-3507	112	15	by	by	ADP
american_scientific_journal-3507	112	16	exchanging	exchange	VERB
american_scientific_journal-3507	112	17	the	the	DET
american_scientific_journal-3507	112	18	order	order	NOUN
american_scientific_journal-3507	112	19	of	of	ADP
american_scientific_journal-3507	112	20	integration	integration	NOUN
american_scientific_journal-3507	112	21	and	and	CCONJ
american_scientific_journal-3507	112	22	differentiation	differentiation	NOUN
american_scientific_journal-3507	112	23	in	in	ADP
american_scientific_journal-3507	112	24	eqn	eqn	NOUN
american_scientific_journal-3507	112	25	.	.	PUNCT
american_scientific_journal-3507	113	1	(	(	PUNCT
american_scientific_journal-3507	113	2	2.19	2.19	NUM
american_scientific_journal-3507	113	3	)	)	PUNCT
american_scientific_journal-3507	113	4	becomes	become	VERB
american_scientific_journal-3507	113	5	:	:	PUNCT
american_scientific_journal-3507	113	6	𝐿𝐿	𝐿𝐿	PROPN
american_scientific_journal-3507	113	7	�	�	PROPN
american_scientific_journal-3507	113	8	𝑣𝑣	𝑣𝑣	PROPN
american_scientific_journal-3507	113	9	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	113	10	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	NOUN
american_scientific_journal-3507	113	11	�	�	PROPN
american_scientific_journal-3507	114	1	=	=	SYM
american_scientific_journal-3507	115	1	𝑣𝑣	𝑣𝑣	PROPN
american_scientific_journal-3507	116	1	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	117	1	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	118	1	∫	∫	PROPN
american_scientific_journal-3507	118	2	𝑐𝑐(𝑧𝑧	𝑐𝑐(𝑧𝑧	PROPN
american_scientific_journal-3507	118	3	,	,	PUNCT
american_scientific_journal-3507	118	4	𝑡𝑡)𝑒𝑒−𝑠𝑠𝑠𝑠∞	𝑡𝑡)𝑒𝑒−𝑠𝑠𝑠𝑠∞	PROPN
american_scientific_journal-3507	118	5	0	0	NUM
american_scientific_journal-3507	118	6	𝑑𝑑𝑡𝑡	𝑑𝑑𝑡𝑡	NOUN
american_scientific_journal-3507	118	7	…	…	SYM
american_scientific_journal-3507	118	8	……	……	NOUN
american_scientific_journal-3507	118	9	……	……	NOUN
american_scientific_journal-3507	118	10	……	……	NOUN
american_scientific_journal-3507	118	11	……	……	NOUN
american_scientific_journal-3507	118	12	……	……	NOUN
american_scientific_journal-3507	118	13	……	……	NOUN
american_scientific_journal-3507	118	14	……	……	NOUN
american_scientific_journal-3507	118	15	……	……	NOUN
american_scientific_journal-3507	118	16	……	……	NOUN
american_scientific_journal-3507	118	17	……	……	NOUN
american_scientific_journal-3507	118	18	……	……	NOUN
american_scientific_journal-3507	118	19	……	……	NOUN
american_scientific_journal-3507	118	20	……	……	NOUN
american_scientific_journal-3507	118	21	..	..	PUNCT
american_scientific_journal-3507	118	22	(	(	PUNCT
american_scientific_journal-3507	118	23	2.20	2.20	NUM
american_scientific_journal-3507	118	24	)	)	PUNCT
american_scientific_journal-3507	118	25	𝐿𝐿	𝐿𝐿	PROPN
american_scientific_journal-3507	118	26	�	�	PROPN
american_scientific_journal-3507	118	27	𝑣𝑣	𝑣𝑣	PROPN
american_scientific_journal-3507	118	28	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	118	29	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	NOUN
american_scientific_journal-3507	118	30	�	�	PROPN
american_scientific_journal-3507	118	31	=	=	SYM
american_scientific_journal-3507	118	32	𝑣𝑣	𝑣𝑣	PROPN
american_scientific_journal-3507	118	33	𝜕𝜕𝜕𝜕̅	𝜕𝜕𝜕𝜕̅	PROPN
american_scientific_journal-3507	118	34	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	NOUN
american_scientific_journal-3507	118	35	…	…	PUNCT
american_scientific_journal-3507	118	36	…	…	PUNCT
american_scientific_journal-3507	118	37	…	…	PUNCT
american_scientific_journal-3507	118	38	…	…	PUNCT
american_scientific_journal-3507	118	39	…	…	PUNCT
american_scientific_journal-3507	118	40	…	…	PUNCT
american_scientific_journal-3507	118	41	…	…	PUNCT
american_scientific_journal-3507	118	42	…	…	PUNCT
american_scientific_journal-3507	118	43	…	…	PUNCT
american_scientific_journal-3507	118	44	…	…	PUNCT
american_scientific_journal-3507	118	45	…	…	PUNCT
american_scientific_journal-3507	118	46	…	…	PUNCT
american_scientific_journal-3507	118	47	…	…	PUNCT
american_scientific_journal-3507	118	48	…	…	PUNCT
american_scientific_journal-3507	118	49	……	……	NOUN
american_scientific_journal-3507	118	50	……	……	NOUN
american_scientific_journal-3507	118	51	……	……	NOUN
american_scientific_journal-3507	118	52	……	……	NOUN
american_scientific_journal-3507	118	53	……	……	NOUN
american_scientific_journal-3507	118	54	……	……	NOUN
american_scientific_journal-3507	118	55	……	……	NOUN
american_scientific_journal-3507	118	56	……	……	NOUN
american_scientific_journal-3507	118	57	……	……	NOUN
american_scientific_journal-3507	118	58	……	……	NOUN
american_scientific_journal-3507	118	59	……	……	NOUN
american_scientific_journal-3507	118	60	.	.	PUNCT
american_scientific_journal-3507	119	1	(	(	PUNCT
american_scientific_journal-3507	119	2	2.21	2.21	NUM
american_scientific_journal-3507	119	3	)	)	PUNCT
american_scientific_journal-3507	119	4	𝐿𝐿	𝐿𝐿	PROPN
american_scientific_journal-3507	119	5	�	�	PROPN
american_scientific_journal-3507	119	6	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	119	7	𝜕𝜕2𝜕𝜕	𝜕𝜕2𝜕𝜕	PROPN
american_scientific_journal-3507	119	8	𝜕𝜕𝜕𝜕2	𝜕𝜕𝜕𝜕2	PROPN
american_scientific_journal-3507	119	9	�	�	PROPN
american_scientific_journal-3507	120	1	=	=	SYM
american_scientific_journal-3507	121	1	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	122	1	∫	∫	PROPN
american_scientific_journal-3507	123	1	𝜕𝜕2𝜕𝜕	𝜕𝜕2𝜕𝜕	PROPN
american_scientific_journal-3507	123	2	𝜕𝜕𝜕𝜕2	𝜕𝜕𝜕𝜕2	VERB
american_scientific_journal-3507	123	3	𝑒𝑒−𝑠𝑠𝑠𝑠𝑑𝑑𝑡𝑡∞	𝑒𝑒−𝑠𝑠𝑠𝑠𝑑𝑑𝑡𝑡∞	PROPN
american_scientific_journal-3507	123	4	0	0	NUM
american_scientific_journal-3507	123	5	…	…	PUNCT
american_scientific_journal-3507	123	6	…	…	NUM
american_scientific_journal-3507	123	7	.	.	PUNCT
american_scientific_journal-3507	123	8	…	…	PUNCT
american_scientific_journal-3507	123	9	……	……	NOUN
american_scientific_journal-3507	123	10	……	……	NOUN
american_scientific_journal-3507	123	11	……	……	NOUN
american_scientific_journal-3507	123	12	……	……	NOUN
american_scientific_journal-3507	123	13	……	……	NOUN
american_scientific_journal-3507	123	14	……	……	NOUN
american_scientific_journal-3507	123	15	……	……	NOUN
american_scientific_journal-3507	123	16	……	……	NOUN
american_scientific_journal-3507	123	17	……	……	NOUN
american_scientific_journal-3507	123	18	……	……	NOUN
american_scientific_journal-3507	123	19	……	……	NOUN
american_scientific_journal-3507	123	20	……	……	NOUN
american_scientific_journal-3507	123	21	……	……	NOUN
american_scientific_journal-3507	123	22	.	.	PUNCT
american_scientific_journal-3507	124	1	(	(	PUNCT
american_scientific_journal-3507	124	2	2.22	2.22	NUM
american_scientific_journal-3507	124	3	)	)	PUNCT
american_scientific_journal-3507	124	4	𝐿𝐿	𝐿𝐿	PROPN
american_scientific_journal-3507	124	5	�	�	PROPN
american_scientific_journal-3507	124	6	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	124	7	𝜕𝜕2𝜕𝜕	𝜕𝜕2𝜕𝜕	PROPN
american_scientific_journal-3507	124	8	𝜕𝜕𝜕𝜕2	𝜕𝜕𝜕𝜕2	PROPN
american_scientific_journal-3507	124	9	�	�	PROPN
american_scientific_journal-3507	125	1	=	=	SYM
american_scientific_journal-3507	126	1	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	127	1	𝜕𝜕2	𝜕𝜕2	X
american_scientific_journal-3507	128	1	𝜕𝜕𝜕𝜕2	𝜕𝜕𝜕𝜕2	PROPN
american_scientific_journal-3507	128	2	∫	∫	PROPN
american_scientific_journal-3507	128	3	𝑐𝑐(𝑧𝑧	𝑐𝑐(𝑧𝑧	PROPN
american_scientific_journal-3507	128	4	,	,	PUNCT
american_scientific_journal-3507	128	5	𝑡𝑡	𝑡𝑡	NOUN
american_scientific_journal-3507	128	6	)	)	PUNCT
american_scientific_journal-3507	128	7	𝑒𝑒−𝑠𝑠𝑠𝑠𝑑𝑑𝑡𝑡∞	𝑒𝑒−𝑠𝑠𝑠𝑠𝑑𝑑𝑡𝑡∞	PROPN
american_scientific_journal-3507	128	8	0	0	NUM
american_scientific_journal-3507	128	9	…	…	PUNCT
american_scientific_journal-3507	128	10	…	…	PUNCT
american_scientific_journal-3507	128	11	.	.	PUNCT
american_scientific_journal-3507	129	1	……	……	NOUN
american_scientific_journal-3507	129	2	……	……	NOUN
american_scientific_journal-3507	129	3	……	……	NOUN
american_scientific_journal-3507	129	4	……	……	NOUN
american_scientific_journal-3507	129	5	……	……	NOUN
american_scientific_journal-3507	129	6	……	……	NOUN
american_scientific_journal-3507	129	7	……	……	NOUN
american_scientific_journal-3507	129	8	……	……	NOUN
american_scientific_journal-3507	129	9	……	……	NOUN
american_scientific_journal-3507	129	10	……	……	NOUN
american_scientific_journal-3507	129	11	……	……	NOUN
american_scientific_journal-3507	129	12	……	……	NOUN
american_scientific_journal-3507	129	13	(	(	PUNCT
american_scientific_journal-3507	129	14	2.23	2.23	NUM
american_scientific_journal-3507	129	15	)	)	PUNCT
american_scientific_journal-3507	129	16	𝐿𝐿	𝐿𝐿	PROPN
american_scientific_journal-3507	129	17	�	�	PROPN
american_scientific_journal-3507	129	18	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	129	19	𝜕𝜕2𝜕𝜕	𝜕𝜕2𝜕𝜕	PROPN
american_scientific_journal-3507	129	20	𝜕𝜕𝜕𝜕2	𝜕𝜕𝜕𝜕2	PROPN
american_scientific_journal-3507	129	21	�	�	PROPN
american_scientific_journal-3507	130	1	=	=	SYM
american_scientific_journal-3507	130	2	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	130	3	𝜕𝜕2𝜕𝜕̅	𝜕𝜕2𝜕𝜕̅	PROPN
american_scientific_journal-3507	130	4	𝜕𝜕𝜕𝜕2	𝜕𝜕𝜕𝜕2	X
american_scientific_journal-3507	130	5	…	…	PUNCT
american_scientific_journal-3507	130	6	…	…	PUNCT
american_scientific_journal-3507	130	7	…	…	PUNCT
american_scientific_journal-3507	130	8	…	…	PUNCT
american_scientific_journal-3507	130	9	…	…	SYM
american_scientific_journal-3507	130	10	.	.	PUNCT
american_scientific_journal-3507	130	11	…	…	PUNCT
american_scientific_journal-3507	130	12	……	……	NOUN
american_scientific_journal-3507	130	13	……	……	NOUN
american_scientific_journal-3507	130	14	……	……	NOUN
american_scientific_journal-3507	130	15	……	……	NOUN
american_scientific_journal-3507	130	16	……	……	NOUN
american_scientific_journal-3507	130	17	……	……	NOUN
american_scientific_journal-3507	130	18	……	……	NOUN
american_scientific_journal-3507	130	19	……	……	NOUN
american_scientific_journal-3507	130	20	……	……	NOUN
american_scientific_journal-3507	130	21	……	……	NOUN
american_scientific_journal-3507	130	22	……	……	NOUN
american_scientific_journal-3507	130	23	……	……	NOUN
american_scientific_journal-3507	130	24	……	……	NOUN
american_scientific_journal-3507	130	25	.	.	PUNCT
american_scientific_journal-3507	131	1	……	……	NOUN
american_scientific_journal-3507	131	2	..	..	PUNCT
american_scientific_journal-3507	131	3	(	(	PUNCT
american_scientific_journal-3507	131	4	2.24	2.24	X
american_scientific_journal-3507	131	5	)	)	PUNCT
american_scientific_journal-3507	131	6	putting	put	VERB
american_scientific_journal-3507	131	7	eqn	eqn	NOUN
american_scientific_journal-3507	131	8	.	.	PUNCT
american_scientific_journal-3507	132	1	(	(	PUNCT
american_scientific_journal-3507	132	2	2.18	2.18	NUM
american_scientific_journal-3507	132	3	)	)	PUNCT
american_scientific_journal-3507	132	4	,	,	PUNCT
american_scientific_journal-3507	132	5	(	(	PUNCT
american_scientific_journal-3507	132	6	2.21	2.21	NUM
american_scientific_journal-3507	132	7	)	)	PUNCT
american_scientific_journal-3507	132	8	and	and	CCONJ
american_scientific_journal-3507	132	9	(	(	PUNCT
american_scientific_journal-3507	132	10	2.24	2.24	NUM
american_scientific_journal-3507	132	11	)	)	PUNCT
american_scientific_journal-3507	132	12	into	into	ADP
american_scientific_journal-3507	132	13	eqn	eqn	NOUN
american_scientific_journal-3507	132	14	.	.	PUNCT
american_scientific_journal-3507	133	1	(	(	PUNCT
american_scientific_journal-3507	133	2	2.14	2.14	NUM
american_scientific_journal-3507	133	3	)	)	PUNCT
american_scientific_journal-3507	133	4	yielded	yield	VERB
american_scientific_journal-3507	133	5	:	:	PUNCT
american_scientific_journal-3507	133	6	𝑠𝑠𝑐𝑐̅	𝑠𝑠𝑐𝑐̅	PROPN
american_scientific_journal-3507	133	7	=	=	SYM
american_scientific_journal-3507	133	8	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	133	9	𝜕𝜕2𝜕𝜕̅	𝜕𝜕2𝜕𝜕̅	PROPN
american_scientific_journal-3507	133	10	𝜕𝜕𝜕𝜕2	𝜕𝜕𝜕𝜕2	PROPN
american_scientific_journal-3507	133	11	−	−	PROPN
american_scientific_journal-3507	133	12	𝑣𝑣	𝑣𝑣	PROPN
american_scientific_journal-3507	133	13	𝜕𝜕𝜕𝜕̅	𝜕𝜕𝜕𝜕̅	PROPN
american_scientific_journal-3507	133	14	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	NOUN
american_scientific_journal-3507	133	15	…	…	PUNCT
american_scientific_journal-3507	133	16	…	…	PUNCT
american_scientific_journal-3507	133	17	…	…	PUNCT
american_scientific_journal-3507	133	18	…	…	PUNCT
american_scientific_journal-3507	133	19	…	…	PUNCT
american_scientific_journal-3507	133	20	…	…	PUNCT
american_scientific_journal-3507	133	21	…	…	PUNCT
american_scientific_journal-3507	133	22	…	…	PUNCT
american_scientific_journal-3507	133	23	…	…	PUNCT
american_scientific_journal-3507	133	24	…	…	PUNCT
american_scientific_journal-3507	133	25	…	…	PUNCT
american_scientific_journal-3507	133	26	…	…	PUNCT
american_scientific_journal-3507	133	27	…	…	PUNCT
american_scientific_journal-3507	133	28	…	…	PUNCT
american_scientific_journal-3507	133	29	……	……	NOUN
american_scientific_journal-3507	133	30	……	……	NOUN
american_scientific_journal-3507	133	31	……	……	NOUN
american_scientific_journal-3507	133	32	……	……	NOUN
american_scientific_journal-3507	133	33	……	……	NOUN
american_scientific_journal-3507	133	34	……	……	NOUN
american_scientific_journal-3507	133	35	……	……	NOUN
american_scientific_journal-3507	133	36	..	..	PUNCT
american_scientific_journal-3507	133	37	……	……	NOUN
american_scientific_journal-3507	133	38	……	……	NOUN
american_scientific_journal-3507	133	39	……	……	NOUN
american_scientific_journal-3507	133	40	..	..	PUNCT
american_scientific_journal-3507	133	41	(	(	PUNCT
american_scientific_journal-3507	133	42	2.25	2.25	X
american_scientific_journal-3507	133	43	)	)	PUNCT
american_scientific_journal-3507	133	44	taking	take	VERB
american_scientific_journal-3507	133	45	laplace	laplace	NOUN
american_scientific_journal-3507	133	46	transform	transform	NOUN
american_scientific_journal-3507	133	47	of	of	ADP
american_scientific_journal-3507	133	48	the	the	DET
american_scientific_journal-3507	133	49	boundary	boundary	ADJ
american_scientific_journal-3507	133	50	conditions	condition	NOUN
american_scientific_journal-3507	133	51	𝐿𝐿[𝑐𝑐(0	𝐿𝐿[𝑐𝑐(0	PROPN
american_scientific_journal-3507	133	52	,	,	PUNCT
american_scientific_journal-3507	133	53	𝑡𝑡	𝑡𝑡	PROPN
american_scientific_journal-3507	133	54	)	)	PUNCT
american_scientific_journal-3507	133	55	]	]	PUNCT
american_scientific_journal-3507	134	1	=	=	PUNCT
american_scientific_journal-3507	134	2	𝐿𝐿[𝑐𝑐0	𝐿𝐿[𝑐𝑐0	PROPN
american_scientific_journal-3507	134	3	]	]	PUNCT
american_scientific_journal-3507	134	4	…	…	SYM
american_scientific_journal-3507	134	5	……	……	NOUN
american_scientific_journal-3507	134	6	.	.	PUNCT
american_scientific_journal-3507	135	1	……	……	NOUN
american_scientific_journal-3507	135	2	……	……	NOUN
american_scientific_journal-3507	135	3	……	……	NOUN
american_scientific_journal-3507	135	4	……	……	NOUN
american_scientific_journal-3507	135	5	……	……	NOUN
american_scientific_journal-3507	135	6	……	……	NOUN
american_scientific_journal-3507	135	7	……	……	NOUN
american_scientific_journal-3507	135	8	……	……	NOUN
american_scientific_journal-3507	135	9	……	……	NOUN
american_scientific_journal-3507	135	10	……	……	NOUN
american_scientific_journal-3507	135	11	……	……	NOUN
american_scientific_journal-3507	135	12	……	……	NOUN
american_scientific_journal-3507	135	13	……	……	NOUN
american_scientific_journal-3507	135	14	……	……	NOUN
american_scientific_journal-3507	135	15	……	……	NOUN
american_scientific_journal-3507	135	16	......	......	PUNCT
american_scientific_journal-3507	135	17	(	(	PUNCT
american_scientific_journal-3507	135	18	2.26	2.26	NUM
american_scientific_journal-3507	135	19	)	)	PUNCT
american_scientific_journal-3507	135	20	𝑐𝑐̅	𝑐𝑐̅	NOUN
american_scientific_journal-3507	135	21	(	(	PUNCT
american_scientific_journal-3507	135	22	0	0	NUM
american_scientific_journal-3507	135	23	,	,	PUNCT
american_scientific_journal-3507	135	24	𝑠𝑠	𝑠𝑠	ADJ
american_scientific_journal-3507	135	25	)	)	PUNCT
american_scientific_journal-3507	135	26	=	=	PUNCT
american_scientific_journal-3507	136	1	𝑐𝑐0	𝑐𝑐0	NUM
american_scientific_journal-3507	136	2	∫	∫	NOUN
american_scientific_journal-3507	136	3	𝑒𝑒−𝑠𝑠𝑠𝑠𝑑𝑑𝑡𝑡	𝑒𝑒−𝑠𝑠𝑠𝑠𝑑𝑑𝑡𝑡	INTJ
american_scientific_journal-3507	136	4	=	=	PUNCT
american_scientific_journal-3507	137	1	𝑐𝑐0	𝑐𝑐0	NUM
american_scientific_journal-3507	137	2	∞	∞	PROPN
american_scientific_journal-3507	137	3	0	0	PUNCT
american_scientific_journal-3507	137	4	�	�	PROPN
american_scientific_journal-3507	137	5	𝑒𝑒	𝑒𝑒	ADP
american_scientific_journal-3507	137	6	−𝑠𝑠𝑠𝑠	−𝑠𝑠𝑠𝑠	NOUN
american_scientific_journal-3507	137	7	𝑠𝑠	𝑠𝑠	PROPN
american_scientific_journal-3507	137	8	�	�	PROPN
american_scientific_journal-3507	137	9	0	0	NUM
american_scientific_journal-3507	137	10	∞	∞	NUM
american_scientific_journal-3507	137	11	=	=	PUNCT
american_scientific_journal-3507	137	12	𝜕𝜕0	𝜕𝜕0	ADP
american_scientific_journal-3507	137	13	𝑠𝑠	𝑠𝑠	ADV
american_scientific_journal-3507	137	14	…	…	PUNCT
american_scientific_journal-3507	137	15	…	…	PUNCT
american_scientific_journal-3507	137	16	…	…	PUNCT
american_scientific_journal-3507	137	17	…	…	PUNCT
american_scientific_journal-3507	137	18	.	.	PUNCT
american_scientific_journal-3507	137	19	……	……	NOUN
american_scientific_journal-3507	137	20	……	……	NOUN
american_scientific_journal-3507	137	21	……	……	NOUN
american_scientific_journal-3507	137	22	……	……	NOUN
american_scientific_journal-3507	137	23	……	……	NOUN
american_scientific_journal-3507	137	24	……	……	NOUN
american_scientific_journal-3507	137	25	……	……	NOUN
american_scientific_journal-3507	137	26	……	……	NOUN
american_scientific_journal-3507	137	27	……	……	NOUN
american_scientific_journal-3507	137	28	....	....	PUNCT
american_scientific_journal-3507	137	29	(	(	PUNCT
american_scientific_journal-3507	137	30	2.27	2.27	NUM
american_scientific_journal-3507	137	31	)	)	PUNCT
american_scientific_journal-3507	137	32	𝐿𝐿[(∞	𝐿𝐿[(∞	NUM
american_scientific_journal-3507	137	33	,	,	PUNCT
american_scientific_journal-3507	137	34	𝑡𝑡	𝑡𝑡	NOUN
american_scientific_journal-3507	137	35	)	)	PUNCT
american_scientific_journal-3507	137	36	]	]	PUNCT
american_scientific_journal-3507	138	1	=	=	PUNCT
american_scientific_journal-3507	138	2	𝐿𝐿[0	𝐿𝐿[0	PROPN
american_scientific_journal-3507	138	3	]	]	PUNCT
american_scientific_journal-3507	138	4	……	……	NOUN
american_scientific_journal-3507	138	5	...	...	PUNCT
american_scientific_journal-3507	138	6	…	…	PUNCT
american_scientific_journal-3507	138	7	……	……	NOUN
american_scientific_journal-3507	138	8	……	……	NOUN
american_scientific_journal-3507	138	9	……	……	NOUN
american_scientific_journal-3507	138	10	……	……	NOUN
american_scientific_journal-3507	138	11	……	……	NOUN
american_scientific_journal-3507	138	12	……	……	NOUN
american_scientific_journal-3507	138	13	……	……	NOUN
american_scientific_journal-3507	138	14	……	……	NOUN
american_scientific_journal-3507	138	15	……	……	NOUN
american_scientific_journal-3507	138	16	……	……	NOUN
american_scientific_journal-3507	138	17	……	……	NOUN
american_scientific_journal-3507	138	18	……	……	NOUN
american_scientific_journal-3507	138	19	……	……	NOUN
american_scientific_journal-3507	138	20	……	……	NOUN
american_scientific_journal-3507	138	21	.............	.............	PUNCT
american_scientific_journal-3507	138	22	(	(	PUNCT
american_scientific_journal-3507	138	23	2.28	2.28	NUM
american_scientific_journal-3507	138	24	)	)	PUNCT
american_scientific_journal-3507	138	25	∫	∫	PROPN
american_scientific_journal-3507	138	26	𝑐𝑐(∞	𝑐𝑐(∞	PROPN
american_scientific_journal-3507	138	27	,	,	PUNCT
american_scientific_journal-3507	138	28	𝑡𝑡)𝑒𝑒−𝑠𝑠𝑠𝑠𝑑𝑑𝑡𝑡	𝑡𝑡)𝑒𝑒−𝑠𝑠𝑠𝑠𝑑𝑑𝑡𝑡	PUNCT
american_scientific_journal-3507	138	29	=	=	PUNCT
american_scientific_journal-3507	138	30	0∞	0∞	NOUN
american_scientific_journal-3507	138	31	0	0	NUM
american_scientific_journal-3507	138	32	…	…	PUNCT
american_scientific_journal-3507	138	33	…	…	PUNCT
american_scientific_journal-3507	138	34	…	…	PUNCT
american_scientific_journal-3507	138	35	…	…	PUNCT
american_scientific_journal-3507	138	36	…	…	PUNCT
american_scientific_journal-3507	138	37	…	…	PUNCT
american_scientific_journal-3507	138	38	…	…	PUNCT
american_scientific_journal-3507	138	39	…	…	PUNCT
american_scientific_journal-3507	138	40	…	…	PUNCT
american_scientific_journal-3507	138	41	…	…	PUNCT
american_scientific_journal-3507	138	42	…	…	PUNCT
american_scientific_journal-3507	138	43	…	…	PUNCT
american_scientific_journal-3507	138	44	…	…	PUNCT
american_scientific_journal-3507	138	45	……	……	NOUN
american_scientific_journal-3507	138	46	……	……	NOUN
american_scientific_journal-3507	138	47	……	……	NOUN
american_scientific_journal-3507	138	48	……	……	NOUN
american_scientific_journal-3507	138	49	……	……	NOUN
american_scientific_journal-3507	138	50	.	.	PUNCT
american_scientific_journal-3507	138	51	……	……	NOUN
american_scientific_journal-3507	138	52	……	……	NOUN
american_scientific_journal-3507	138	53	……	……	NOUN
american_scientific_journal-3507	138	54	……	……	NOUN
american_scientific_journal-3507	138	55	....	....	PUNCT
american_scientific_journal-3507	138	56	(	(	PUNCT
american_scientific_journal-3507	138	57	2.29	2.29	NUM
american_scientific_journal-3507	138	58	)	)	PUNCT
american_scientific_journal-3507	138	59	𝑐𝑐̅	𝑐𝑐̅	NOUN
american_scientific_journal-3507	138	60	(	(	PUNCT
american_scientific_journal-3507	138	61	∞	∞	NOUN
american_scientific_journal-3507	138	62	,	,	PUNCT
american_scientific_journal-3507	138	63	𝑠𝑠	𝑠𝑠	ADJ
american_scientific_journal-3507	138	64	)	)	PUNCT
american_scientific_journal-3507	138	65	=	=	SYM
american_scientific_journal-3507	138	66	0	0	NUM
american_scientific_journal-3507	138	67	...	...	PUNCT
american_scientific_journal-3507	138	68	…	…	PUNCT
american_scientific_journal-3507	138	69	…	…	PUNCT
american_scientific_journal-3507	138	70	…	…	PUNCT
american_scientific_journal-3507	138	71	…	…	PUNCT
american_scientific_journal-3507	138	72	…	…	PUNCT
american_scientific_journal-3507	138	73	…	…	PUNCT
american_scientific_journal-3507	138	74	…	…	PUNCT
american_scientific_journal-3507	138	75	…	…	PUNCT
american_scientific_journal-3507	138	76	…	…	PUNCT
american_scientific_journal-3507	138	77	…	…	PUNCT
american_scientific_journal-3507	138	78	…	…	PUNCT
american_scientific_journal-3507	138	79	…	…	PUNCT
american_scientific_journal-3507	138	80	…	…	PUNCT
american_scientific_journal-3507	138	81	…	…	PUNCT
american_scientific_journal-3507	138	82	…	…	PUNCT
american_scientific_journal-3507	138	83	…	…	PUNCT
american_scientific_journal-3507	138	84	……	……	NOUN
american_scientific_journal-3507	138	85	……	……	NOUN
american_scientific_journal-3507	138	86	..	..	PUNCT
american_scientific_journal-3507	138	87	…	…	PUNCT
american_scientific_journal-3507	138	88	……	……	NOUN
american_scientific_journal-3507	138	89	……	……	NOUN
american_scientific_journal-3507	138	90	..	..	PUNCT
american_scientific_journal-3507	138	91	…	…	PUNCT
american_scientific_journal-3507	138	92	……	……	NOUN
american_scientific_journal-3507	138	93	……	……	NOUN
american_scientific_journal-3507	138	94	……	……	NOUN
american_scientific_journal-3507	138	95	……	……	NOUN
american_scientific_journal-3507	138	96	.	.	PUNCT
american_scientific_journal-3507	139	1	…	…	PUNCT
american_scientific_journal-3507	139	2	(	(	PUNCT
american_scientific_journal-3507	139	3	2.30	2.30	NUM
american_scientific_journal-3507	139	4	)	)	PUNCT
american_scientific_journal-3507	139	5	dividing	divide	VERB
american_scientific_journal-3507	139	6	through	through	ADP
american_scientific_journal-3507	139	7	equation	equation	NOUN
american_scientific_journal-3507	139	8	(	(	PUNCT
american_scientific_journal-3507	139	9	2.25	2.25	NUM
american_scientific_journal-3507	139	10	)	)	PUNCT
american_scientific_journal-3507	139	11	by	by	ADP
american_scientific_journal-3507	139	12	d	d	PROPN
american_scientific_journal-3507	139	13	and	and	CCONJ
american_scientific_journal-3507	139	14	rearranging	rearrange	VERB
american_scientific_journal-3507	139	15	gives	give	VERB
american_scientific_journal-3507	139	16	:	:	PUNCT
american_scientific_journal-3507	139	17	𝜕𝜕2𝜕𝜕̅	𝜕𝜕2𝜕𝜕̅	PROPN
american_scientific_journal-3507	139	18	𝜕𝜕𝜕𝜕2	𝜕𝜕𝜕𝜕2	PROPN
american_scientific_journal-3507	139	19	−	−	PROPN
american_scientific_journal-3507	139	20	𝑣𝑣	𝑣𝑣	PROPN
american_scientific_journal-3507	139	21	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	139	22	𝜕𝜕𝜕𝜕̅	𝜕𝜕𝜕𝜕̅	PROPN
american_scientific_journal-3507	139	23	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	NOUN
american_scientific_journal-3507	140	1	−	−	PROPN
american_scientific_journal-3507	140	2	1	1	NUM
american_scientific_journal-3507	140	3	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	140	4	𝑠𝑠𝑐𝑐̅	𝑠𝑠𝑐𝑐̅	NOUN
american_scientific_journal-3507	140	5	=	=	SYM
american_scientific_journal-3507	140	6	0	0	NUM
american_scientific_journal-3507	140	7	……	……	NOUN
american_scientific_journal-3507	140	8	..	..	PUNCT
american_scientific_journal-3507	140	9	…	…	PUNCT
american_scientific_journal-3507	140	10	……	……	NOUN
american_scientific_journal-3507	140	11	……	……	NOUN
american_scientific_journal-3507	140	12	……	……	NOUN
american_scientific_journal-3507	140	13	……	……	NOUN
american_scientific_journal-3507	140	14	……	……	NOUN
american_scientific_journal-3507	140	15	……	……	NOUN
american_scientific_journal-3507	140	16	……	……	NOUN
american_scientific_journal-3507	140	17	……	……	NOUN
american_scientific_journal-3507	140	18	……	……	NOUN
american_scientific_journal-3507	140	19	……	……	NOUN
american_scientific_journal-3507	140	20	……	……	NOUN
american_scientific_journal-3507	140	21	……	……	NOUN
american_scientific_journal-3507	140	22	……	……	NOUN
american_scientific_journal-3507	140	23	……	……	NOUN
american_scientific_journal-3507	140	24	……	……	NOUN
american_scientific_journal-3507	140	25	(	(	PUNCT
american_scientific_journal-3507	140	26	2.31	2.31	NUM
american_scientific_journal-3507	140	27	)	)	PUNCT
american_scientific_journal-3507	140	28	which	which	PRON
american_scientific_journal-3507	140	29	is	be	AUX
american_scientific_journal-3507	140	30	a	a	DET
american_scientific_journal-3507	140	31	second	second	ADJ
american_scientific_journal-3507	140	32	order	order	NOUN
american_scientific_journal-3507	140	33	ordinary	ordinary	ADJ
american_scientific_journal-3507	140	34	differential	differential	ADJ
american_scientific_journal-3507	140	35	equation	equation	NOUN
american_scientific_journal-3507	140	36	with	with	ADP
american_scientific_journal-3507	140	37	auxiliary	auxiliary	ADJ
american_scientific_journal-3507	140	38	equation	equation	NOUN
american_scientific_journal-3507	140	39	𝑚𝑚2	𝑚𝑚2	NOUN
american_scientific_journal-3507	140	40	−	−	PROPN
american_scientific_journal-3507	140	41	𝑣𝑣	𝑣𝑣	PROPN
american_scientific_journal-3507	140	42	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	140	43	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-3507	140	44	−	−	PROPN
american_scientific_journal-3507	140	45	𝑠𝑠	𝑠𝑠	ADV
american_scientific_journal-3507	140	46	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	141	1	=	=	NOUN
american_scientific_journal-3507	141	2	0	0	NUM
american_scientific_journal-3507	141	3	……	……	NOUN
american_scientific_journal-3507	141	4	……	……	NOUN
american_scientific_journal-3507	141	5	……	……	NOUN
american_scientific_journal-3507	141	6	……	……	NOUN
american_scientific_journal-3507	141	7	……	……	NOUN
american_scientific_journal-3507	141	8	……	……	NOUN
american_scientific_journal-3507	141	9	……	……	NOUN
american_scientific_journal-3507	141	10	……	……	NOUN
american_scientific_journal-3507	141	11	……	……	NOUN
american_scientific_journal-3507	141	12	……	……	NOUN
american_scientific_journal-3507	141	13	.	.	PUNCT
american_scientific_journal-3507	141	14	……	……	NOUN
american_scientific_journal-3507	141	15	……	……	NOUN
american_scientific_journal-3507	141	16	……	……	NOUN
american_scientific_journal-3507	141	17	……	……	NOUN
american_scientific_journal-3507	141	18	……	……	NOUN
american_scientific_journal-3507	141	19	……	……	NOUN
american_scientific_journal-3507	141	20	........	........	PUNCT
american_scientific_journal-3507	141	21	(	(	PUNCT
american_scientific_journal-3507	141	22	2.32	2.32	NUM
american_scientific_journal-3507	141	23	)	)	PUNCT
american_scientific_journal-3507	141	24	american	american	ADJ
american_scientific_journal-3507	141	25	scientific	scientific	ADJ
american_scientific_journal-3507	141	26	research	research	NOUN
american_scientific_journal-3507	141	27	journal	journal	NOUN
american_scientific_journal-3507	141	28	for	for	ADP
american_scientific_journal-3507	141	29	engineering	engineering	NOUN
american_scientific_journal-3507	141	30	,	,	PUNCT
american_scientific_journal-3507	141	31	technology	technology	NOUN
american_scientific_journal-3507	141	32	,	,	PUNCT
american_scientific_journal-3507	141	33	and	and	CCONJ
american_scientific_journal-3507	141	34	sciences	science	NOUN
american_scientific_journal-3507	141	35	(	(	PUNCT
american_scientific_journal-3507	141	36	asrjets	asrjet	NOUN
american_scientific_journal-3507	141	37	)	)	PUNCT
american_scientific_journal-3507	141	38	(	(	PUNCT
american_scientific_journal-3507	141	39	2017	2017	NUM
american_scientific_journal-3507	141	40	)	)	PUNCT
american_scientific_journal-3507	141	41	volume	volume	NOUN
american_scientific_journal-3507	141	42	38	38	NUM
american_scientific_journal-3507	141	43	,	,	PUNCT
american_scientific_journal-3507	141	44	no	no	DET
american_scientific_journal-3507	141	45	1	1	NUM
american_scientific_journal-3507	141	46	,	,	PUNCT
american_scientific_journal-3507	141	47	pp	pp	ADV
american_scientific_journal-3507	141	48	235	235	NUM
american_scientific_journal-3507	141	49	-	-	SYM
american_scientific_journal-3507	141	50	249	249	NUM
american_scientific_journal-3507	141	51	243	243	NUM
american_scientific_journal-3507	141	52	the	the	DET
american_scientific_journal-3507	141	53	roots	root	NOUN
american_scientific_journal-3507	141	54	of	of	ADP
american_scientific_journal-3507	141	55	equation	equation	NOUN
american_scientific_journal-3507	141	56	(	(	PUNCT
american_scientific_journal-3507	141	57	2.32	2.32	NUM
american_scientific_journal-3507	141	58	)	)	PUNCT
american_scientific_journal-3507	141	59	were	be	AUX
american_scientific_journal-3507	141	60	determined	determine	VERB
american_scientific_journal-3507	141	61	from	from	ADP
american_scientific_journal-3507	141	62	the	the	DET
american_scientific_journal-3507	141	63	quadratic	quadratic	ADJ
american_scientific_journal-3507	141	64	formula	formula	NOUN
american_scientific_journal-3507	141	65	.	.	PUNCT
american_scientific_journal-3507	142	1	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-3507	142	2	=	=	SYM
american_scientific_journal-3507	142	3	−𝑏𝑏±	−𝑏𝑏±	PROPN
american_scientific_journal-3507	142	4	�	�	PROPN
american_scientific_journal-3507	142	5	𝑏𝑏2−4𝑎𝑎𝜕𝜕	𝑏𝑏2−4𝑎𝑎𝜕𝜕	NOUN
american_scientific_journal-3507	142	6	2𝑎𝑎	2𝑎𝑎	NOUN
american_scientific_journal-3507	142	7	…	…	PUNCT
american_scientific_journal-3507	142	8	…	…	PUNCT
american_scientific_journal-3507	142	9	…	…	PUNCT
american_scientific_journal-3507	142	10	...	...	PUNCT
american_scientific_journal-3507	142	11	…	…	PUNCT
american_scientific_journal-3507	142	12	…	…	PUNCT
american_scientific_journal-3507	142	13	…	…	PUNCT
american_scientific_journal-3507	142	14	…	…	PUNCT
american_scientific_journal-3507	142	15	…	…	PUNCT
american_scientific_journal-3507	142	16	…	…	PUNCT
american_scientific_journal-3507	142	17	…	…	PUNCT
american_scientific_journal-3507	142	18	…	…	PUNCT
american_scientific_journal-3507	142	19	…	…	PUNCT
american_scientific_journal-3507	142	20	…	…	PUNCT
american_scientific_journal-3507	142	21	……	……	NOUN
american_scientific_journal-3507	142	22	……	……	NOUN
american_scientific_journal-3507	142	23	……	……	NOUN
american_scientific_journal-3507	142	24	……	……	NOUN
american_scientific_journal-3507	142	25	.	.	PUNCT
american_scientific_journal-3507	142	26	…	…	PUNCT
american_scientific_journal-3507	142	27	……	……	NOUN
american_scientific_journal-3507	142	28	..	..	PUNCT
american_scientific_journal-3507	142	29	…	…	PUNCT
american_scientific_journal-3507	142	30	……	……	NOUN
american_scientific_journal-3507	142	31	……	……	NOUN
american_scientific_journal-3507	142	32	……	……	NOUN
american_scientific_journal-3507	142	33	……	……	NOUN
american_scientific_journal-3507	142	34	....	....	PUNCT
american_scientific_journal-3507	142	35	(	(	PUNCT
american_scientific_journal-3507	142	36	2.33	2.33	NUM
american_scientific_journal-3507	142	37	)	)	PUNCT
american_scientific_journal-3507	142	38	hence	hence	ADV
american_scientific_journal-3507	142	39	equation	equation	NOUN
american_scientific_journal-3507	142	40	(	(	PUNCT
american_scientific_journal-3507	142	41	2.32	2.32	NUM
american_scientific_journal-3507	142	42	)	)	PUNCT
american_scientific_journal-3507	142	43	had	have	VERB
american_scientific_journal-3507	142	44	the	the	DET
american_scientific_journal-3507	142	45	roots	root	NOUN
american_scientific_journal-3507	142	46	:	:	PUNCT
american_scientific_journal-3507	142	47	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-3507	142	48	=	=	SYM
american_scientific_journal-3507	142	49	1	1	NUM
american_scientific_journal-3507	142	50	2	2	NUM
american_scientific_journal-3507	142	51	�	�	PROPN
american_scientific_journal-3507	142	52	𝑣𝑣	𝑣𝑣	PROPN
american_scientific_journal-3507	142	53	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	142	54	±	±	PROPN
american_scientific_journal-3507	142	55	�	�	PROPN
american_scientific_journal-3507	142	56	𝑣𝑣2	𝑣𝑣2	VERB
american_scientific_journal-3507	142	57	𝐷𝐷2	𝐷𝐷2	NOUN
american_scientific_journal-3507	142	58	+	+	CCONJ
american_scientific_journal-3507	142	59	4𝑠𝑠	4𝑠𝑠	ADJ
american_scientific_journal-3507	142	60	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	142	61	�	�	PROPN
american_scientific_journal-3507	142	62	……	……	NOUN
american_scientific_journal-3507	142	63	…	…	PUNCT
american_scientific_journal-3507	142	64	.	.	PUNCT
american_scientific_journal-3507	143	1	…	…	PUNCT
american_scientific_journal-3507	143	2	…	…	PUNCT
american_scientific_journal-3507	143	3	…	…	PUNCT
american_scientific_journal-3507	143	4	…	…	PUNCT
american_scientific_journal-3507	143	5	…	…	PUNCT
american_scientific_journal-3507	143	6	…	…	PUNCT
american_scientific_journal-3507	143	7	…	…	PUNCT
american_scientific_journal-3507	143	8	…	…	PUNCT
american_scientific_journal-3507	143	9	…	…	PUNCT
american_scientific_journal-3507	143	10	…	…	PUNCT
american_scientific_journal-3507	143	11	…	…	PUNCT
american_scientific_journal-3507	143	12	…	…	PUNCT
american_scientific_journal-3507	143	13	……	……	NOUN
american_scientific_journal-3507	143	14	……	……	NOUN
american_scientific_journal-3507	143	15	……	……	NOUN
american_scientific_journal-3507	143	16	..	..	PUNCT
american_scientific_journal-3507	143	17	……	……	NOUN
american_scientific_journal-3507	143	18	……	……	NOUN
american_scientific_journal-3507	143	19	……	……	NOUN
american_scientific_journal-3507	143	20	……	……	NOUN
american_scientific_journal-3507	143	21	……	……	NOUN
american_scientific_journal-3507	143	22	.	.	PUNCT
american_scientific_journal-3507	144	1	(	(	PUNCT
american_scientific_journal-3507	144	2	2.34	2.34	NUM
american_scientific_journal-3507	144	3	)	)	PUNCT
american_scientific_journal-3507	144	4	the	the	DET
american_scientific_journal-3507	144	5	general	general	ADJ
american_scientific_journal-3507	144	6	solution	solution	NOUN
american_scientific_journal-3507	144	7	of	of	ADP
american_scientific_journal-3507	144	8	equation	equation	NOUN
american_scientific_journal-3507	144	9	(	(	PUNCT
american_scientific_journal-3507	144	10	2.31	2.31	NUM
american_scientific_journal-3507	144	11	)	)	PUNCT
american_scientific_journal-3507	144	12	is	be	AUX
american_scientific_journal-3507	144	13	given	give	VERB
american_scientific_journal-3507	144	14	as	as	ADP
american_scientific_journal-3507	144	15	[	[	X
american_scientific_journal-3507	144	16	13	13	NUM
american_scientific_journal-3507	144	17	]	]	X
american_scientific_journal-3507	144	18	𝑐𝑐̅	𝑐𝑐̅	NOUN
american_scientific_journal-3507	144	19	=	=	SYM
american_scientific_journal-3507	144	20	𝐴𝐴𝑒𝑒𝐴𝐴𝐴𝐴	𝐴𝐴𝑒𝑒𝐴𝐴𝐴𝐴	ADJ
american_scientific_journal-3507	144	21	�	�	NOUN
american_scientific_journal-3507	144	22	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	NOUN
american_scientific_journal-3507	144	23	2𝐷𝐷	2𝐷𝐷	NUM
american_scientific_journal-3507	144	24	+	+	CCONJ
american_scientific_journal-3507	144	25	𝜕𝜕	𝜕𝜕	ADJ
american_scientific_journal-3507	144	26	2	2	NUM
american_scientific_journal-3507	144	27	�	�	NOUN
american_scientific_journal-3507	144	28	𝑣𝑣2	𝑣𝑣2	ADJ
american_scientific_journal-3507	144	29	𝐷𝐷2	𝐷𝐷2	NOUN
american_scientific_journal-3507	144	30	+	+	CCONJ
american_scientific_journal-3507	144	31	4𝑠𝑠	4𝑠𝑠	ADJ
american_scientific_journal-3507	144	32	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	144	33	�	�	PROPN
american_scientific_journal-3507	144	34	+	+	NUM
american_scientific_journal-3507	144	35	𝐵𝐵𝑒𝑒𝐴𝐴𝐴𝐴	𝐵𝐵𝑒𝑒𝐴𝐴𝐴𝐴	PROPN
american_scientific_journal-3507	144	36	�	�	NOUN
american_scientific_journal-3507	144	37	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	NOUN
american_scientific_journal-3507	144	38	2𝐷𝐷	2𝐷𝐷	NUM
american_scientific_journal-3507	144	39	−	−	NOUN
american_scientific_journal-3507	144	40	𝜕𝜕	𝜕𝜕	ADJ
american_scientific_journal-3507	144	41	2	2	NUM
american_scientific_journal-3507	144	42	�	�	NOUN
american_scientific_journal-3507	144	43	𝑣𝑣2	𝑣𝑣2	ADJ
american_scientific_journal-3507	144	44	𝐷𝐷2	𝐷𝐷2	NOUN
american_scientific_journal-3507	144	45	+	+	CCONJ
american_scientific_journal-3507	144	46	4𝑠𝑠	4𝑠𝑠	ADJ
american_scientific_journal-3507	144	47	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	144	48	�	�	PROPN
american_scientific_journal-3507	144	49	…	…	SYM
american_scientific_journal-3507	144	50	…	…	PUNCT
american_scientific_journal-3507	144	51	…	…	PUNCT
american_scientific_journal-3507	144	52	…	…	PUNCT
american_scientific_journal-3507	144	53	…	…	PUNCT
american_scientific_journal-3507	144	54	...	...	PUNCT
american_scientific_journal-3507	144	55	…	…	PUNCT
american_scientific_journal-3507	144	56	……	……	NOUN
american_scientific_journal-3507	144	57	……	……	NOUN
american_scientific_journal-3507	144	58	.	.	PUNCT
american_scientific_journal-3507	145	1	……	……	NOUN
american_scientific_journal-3507	145	2	……	……	NOUN
american_scientific_journal-3507	145	3	..	..	PUNCT
american_scientific_journal-3507	145	4	(	(	PUNCT
american_scientific_journal-3507	145	5	2.35	2.35	NUM
american_scientific_journal-3507	145	6	)	)	PUNCT
american_scientific_journal-3507	145	7	applying	apply	VERB
american_scientific_journal-3507	145	8	the	the	DET
american_scientific_journal-3507	145	9	lower	low	ADJ
american_scientific_journal-3507	145	10	boundary	boundary	ADJ
american_scientific_journal-3507	145	11	condition	condition	NOUN
american_scientific_journal-3507	145	12	[	[	X
american_scientific_journal-3507	145	13	𝑐𝑐̅	𝑐𝑐̅	X
american_scientific_journal-3507	145	14	(	(	PUNCT
american_scientific_journal-3507	145	15	∞	∞	PROPN
american_scientific_journal-3507	145	16	,	,	PUNCT
american_scientific_journal-3507	145	17	𝑠𝑠	𝑠𝑠	ADJ
american_scientific_journal-3507	145	18	)	)	PUNCT
american_scientific_journal-3507	145	19	=	=	SYM
american_scientific_journal-3507	145	20	0]means	0]mean	NOUN
american_scientific_journal-3507	145	21	as	as	ADP
american_scientific_journal-3507	145	22	𝑧𝑧	𝑧𝑧	PRON
american_scientific_journal-3507	145	23	→	→	SYM
american_scientific_journal-3507	145	24	∞	∞	NUM
american_scientific_journal-3507	145	25	there	there	PRON
american_scientific_journal-3507	145	26	would	would	AUX
american_scientific_journal-3507	145	27	be	be	AUX
american_scientific_journal-3507	145	28	no	no	DET
american_scientific_journal-3507	145	29	concentration	concentration	NOUN
american_scientific_journal-3507	145	30	,	,	PUNCT
american_scientific_journal-3507	145	31	hence	hence	ADV
american_scientific_journal-3507	145	32	a=0	a=0	ADV
american_scientific_journal-3507	145	33	,	,	PUNCT
american_scientific_journal-3507	145	34	and	and	CCONJ
american_scientific_journal-3507	145	35	equation	equation	NOUN
american_scientific_journal-3507	145	36	(	(	PUNCT
american_scientific_journal-3507	145	37	2.35	2.35	NUM
american_scientific_journal-3507	145	38	)	)	PUNCT
american_scientific_journal-3507	145	39	reduced	reduce	VERB
american_scientific_journal-3507	145	40	to	to	ADP
american_scientific_journal-3507	145	41	:	:	PUNCT
american_scientific_journal-3507	146	1	𝑐𝑐̅	𝑐𝑐̅	VERB
american_scientific_journal-3507	146	2	=	=	SYM
american_scientific_journal-3507	146	3	𝐵𝐵𝑒𝑒𝐴𝐴𝐴𝐴	𝐵𝐵𝑒𝑒𝐴𝐴𝐴𝐴	X
american_scientific_journal-3507	146	4	�	�	NOUN
american_scientific_journal-3507	146	5	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	NOUN
american_scientific_journal-3507	146	6	2𝐷𝐷	2𝐷𝐷	NUM
american_scientific_journal-3507	146	7	−	−	NOUN
american_scientific_journal-3507	146	8	𝜕𝜕	𝜕𝜕	ADJ
american_scientific_journal-3507	146	9	2	2	NUM
american_scientific_journal-3507	146	10	�	�	NOUN
american_scientific_journal-3507	146	11	𝑣𝑣2	𝑣𝑣2	ADJ
american_scientific_journal-3507	146	12	𝐷𝐷2	𝐷𝐷2	NOUN
american_scientific_journal-3507	146	13	+	+	CCONJ
american_scientific_journal-3507	146	14	4𝑠𝑠	4𝑠𝑠	ADJ
american_scientific_journal-3507	146	15	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	146	16	�	�	PROPN
american_scientific_journal-3507	146	17	…	…	SYM
american_scientific_journal-3507	146	18	…	…	PUNCT
american_scientific_journal-3507	146	19	…	…	PUNCT
american_scientific_journal-3507	146	20	.	.	PUNCT
american_scientific_journal-3507	146	21	……	……	NOUN
american_scientific_journal-3507	146	22	……	……	NOUN
american_scientific_journal-3507	146	23	……	……	NOUN
american_scientific_journal-3507	146	24	……	……	NOUN
american_scientific_journal-3507	146	25	……	……	NOUN
american_scientific_journal-3507	146	26	……	……	NOUN
american_scientific_journal-3507	146	27	……	……	NOUN
american_scientific_journal-3507	146	28	……	……	NOUN
american_scientific_journal-3507	146	29	……	……	NOUN
american_scientific_journal-3507	146	30	……	……	NOUN
american_scientific_journal-3507	146	31	……	……	NOUN
american_scientific_journal-3507	146	32	……	……	NOUN
american_scientific_journal-3507	146	33	..	..	PUNCT
american_scientific_journal-3507	146	34	(	(	PUNCT
american_scientific_journal-3507	146	35	2.36	2.36	NUM
american_scientific_journal-3507	146	36	)	)	PUNCT
american_scientific_journal-3507	146	37	applying	apply	VERB
american_scientific_journal-3507	146	38	the	the	DET
american_scientific_journal-3507	146	39	upper	upper	ADJ
american_scientific_journal-3507	146	40	(	(	PUNCT
american_scientific_journal-3507	146	41	surface	surface	NOUN
american_scientific_journal-3507	146	42	)	)	PUNCT
american_scientific_journal-3507	146	43	boundary	boundary	ADJ
american_scientific_journal-3507	146	44	condition	condition	NOUN
american_scientific_journal-3507	146	45	,	,	PUNCT
american_scientific_journal-3507	146	46	�	�	PROPN
american_scientific_journal-3507	146	47	𝑐𝑐̅(0	𝑐𝑐̅(0	PROPN
american_scientific_journal-3507	146	48	,	,	PUNCT
american_scientific_journal-3507	146	49	𝑠𝑠	𝑠𝑠	ADJ
american_scientific_journal-3507	146	50	)	)	PUNCT
american_scientific_journal-3507	146	51	=	=	SYM
american_scientific_journal-3507	146	52	𝜃𝜃0	𝜃𝜃0	NOUN
american_scientific_journal-3507	146	53	𝑠𝑠	𝑠𝑠	ADP
american_scientific_journal-3507	146	54	�	�	PROPN
american_scientific_journal-3507	146	55	to	to	ADP
american_scientific_journal-3507	146	56	equation	equation	NOUN
american_scientific_journal-3507	146	57	(	(	PUNCT
american_scientific_journal-3507	146	58	2.36	2.36	NUM
american_scientific_journal-3507	146	59	)	)	PUNCT
american_scientific_journal-3507	146	60	yields	yield	NOUN
american_scientific_journal-3507	146	61	,	,	PUNCT
american_scientific_journal-3507	146	62	𝐵𝐵	𝐵𝐵	PROPN
american_scientific_journal-3507	146	63	=	=	PUNCT
american_scientific_journal-3507	146	64	𝜃𝜃0	𝜃𝜃0	NOUN
american_scientific_journal-3507	146	65	𝑠𝑠	𝑠𝑠	ADV
american_scientific_journal-3507	146	66	and	and	CCONJ
american_scientific_journal-3507	146	67	eqn	eqn	PROPN
american_scientific_journal-3507	146	68	.	.	PUNCT
american_scientific_journal-3507	147	1	(	(	PUNCT
american_scientific_journal-3507	147	2	2.36	2.36	NUM
american_scientific_journal-3507	147	3	)	)	PUNCT
american_scientific_journal-3507	147	4	becomes	become	VERB
american_scientific_journal-3507	147	5	:	:	PUNCT
american_scientific_journal-3507	147	6	𝑐𝑐̅	𝑐𝑐̅	X
american_scientific_journal-3507	147	7	=	=	PUNCT
american_scientific_journal-3507	147	8	𝜃𝜃0	𝜃𝜃0	NOUN
american_scientific_journal-3507	147	9	𝑠𝑠	𝑠𝑠	ADP
american_scientific_journal-3507	147	10	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	PROPN
american_scientific_journal-3507	147	11	�	�	PROPN
american_scientific_journal-3507	147	12	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	NOUN
american_scientific_journal-3507	147	13	2𝐷𝐷	2𝐷𝐷	NUM
american_scientific_journal-3507	147	14	−	−	NOUN
american_scientific_journal-3507	147	15	𝜕𝜕	𝜕𝜕	ADJ
american_scientific_journal-3507	147	16	2	2	NUM
american_scientific_journal-3507	147	17	�	�	NOUN
american_scientific_journal-3507	147	18	𝑣𝑣2	𝑣𝑣2	ADJ
american_scientific_journal-3507	147	19	𝐷𝐷2	𝐷𝐷2	NOUN
american_scientific_journal-3507	147	20	+	+	CCONJ
american_scientific_journal-3507	147	21	4𝑠𝑠	4𝑠𝑠	ADJ
american_scientific_journal-3507	147	22	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	147	23	�	�	PROPN
american_scientific_journal-3507	147	24	…	…	SYM
american_scientific_journal-3507	147	25	…	…	PUNCT
american_scientific_journal-3507	147	26	…	…	PUNCT
american_scientific_journal-3507	147	27	…	…	PUNCT
american_scientific_journal-3507	147	28	..	..	PUNCT
american_scientific_journal-3507	147	29	…	…	PUNCT
american_scientific_journal-3507	147	30	…	…	PUNCT
american_scientific_journal-3507	147	31	…	…	PUNCT
american_scientific_journal-3507	147	32	…	…	PUNCT
american_scientific_journal-3507	147	33	…	…	PUNCT
american_scientific_journal-3507	147	34	……	……	NOUN
american_scientific_journal-3507	147	35	……	……	NOUN
american_scientific_journal-3507	147	36	……	……	NOUN
american_scientific_journal-3507	147	37	……	……	NOUN
american_scientific_journal-3507	147	38	……	……	NOUN
american_scientific_journal-3507	147	39	……	……	NOUN
american_scientific_journal-3507	147	40	……	……	NOUN
american_scientific_journal-3507	147	41	……	……	NOUN
american_scientific_journal-3507	148	1	……	……	NOUN
american_scientific_journal-3507	149	1	.	.	PUNCT
american_scientific_journal-3507	150	1	(	(	PUNCT
american_scientific_journal-3507	150	2	2.37	2.37	NUM
american_scientific_journal-3507	150	3	)	)	PUNCT
american_scientific_journal-3507	150	4	rearranging	rearrange	VERB
american_scientific_journal-3507	150	5	equation	equation	NOUN
american_scientific_journal-3507	150	6	(	(	PUNCT
american_scientific_journal-3507	150	7	2.37	2.37	NUM
american_scientific_journal-3507	150	8	)	)	PUNCT
american_scientific_journal-3507	150	9	produced	produce	VERB
american_scientific_journal-3507	150	10	:	:	PUNCT
american_scientific_journal-3507	150	11	𝜕𝜕̅	𝜕𝜕̅	NOUN
american_scientific_journal-3507	150	12	𝜃𝜃0	𝜃𝜃0	NOUN
american_scientific_journal-3507	150	13	=	=	SYM
american_scientific_journal-3507	150	14	1	1	NUM
american_scientific_journal-3507	150	15	𝑠𝑠	𝑠𝑠	ADP
american_scientific_journal-3507	150	16	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	PROPN
american_scientific_journal-3507	150	17	�	�	PROPN
american_scientific_journal-3507	150	18	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	PROPN
american_scientific_journal-3507	150	19	2𝐷𝐷	2𝐷𝐷	NUM
american_scientific_journal-3507	150	20	�	�	PROPN
american_scientific_journal-3507	150	21	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	PROPN
american_scientific_journal-3507	150	22	�	�	PROPN
american_scientific_journal-3507	150	23	−𝑧𝑧	−𝑧𝑧	PART
american_scientific_journal-3507	150	24	�	�	PROPN
american_scientific_journal-3507	150	25	𝑠𝑠+𝑣𝑣	𝑠𝑠+𝑣𝑣	ADJ
american_scientific_journal-3507	150	26	2	2	NUM
american_scientific_journal-3507	150	27	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	150	28	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	150	29	�	�	PROPN
american_scientific_journal-3507	150	30	…	…	SYM
american_scientific_journal-3507	150	31	…	…	PUNCT
american_scientific_journal-3507	150	32	…	…	PUNCT
american_scientific_journal-3507	150	33	…	…	PUNCT
american_scientific_journal-3507	150	34	…	…	SYM
american_scientific_journal-3507	150	35	....	....	PUNCT
american_scientific_journal-3507	150	36	…	…	PUNCT
american_scientific_journal-3507	150	37	…	…	PUNCT
american_scientific_journal-3507	150	38	…	…	PUNCT
american_scientific_journal-3507	150	39	…	…	PUNCT
american_scientific_journal-3507	150	40	……	……	NOUN
american_scientific_journal-3507	150	41	……	……	NOUN
american_scientific_journal-3507	150	42	……	……	NOUN
american_scientific_journal-3507	150	43	……	……	NOUN
american_scientific_journal-3507	150	44	.	.	PUNCT
american_scientific_journal-3507	150	45	…	…	PUNCT
american_scientific_journal-3507	150	46	……	……	NOUN
american_scientific_journal-3507	150	47	……	……	NOUN
american_scientific_journal-3507	150	48	……	……	NOUN
american_scientific_journal-3507	150	49	..	..	PUNCT
american_scientific_journal-3507	150	50	…	…	PUNCT
american_scientific_journal-3507	150	51	(	(	PUNCT
american_scientific_journal-3507	150	52	2.38	2.38	NUM
american_scientific_journal-3507	150	53	)	)	PUNCT
american_scientific_journal-3507	150	54	letting	let	VERB
american_scientific_journal-3507	150	55	𝑄𝑄	𝑄𝑄	PROPN
american_scientific_journal-3507	150	56	=	=	PUNCT
american_scientific_journal-3507	151	1	𝑠𝑠	𝑠𝑠	ADV
american_scientific_journal-3507	151	2	+	+	CCONJ
american_scientific_journal-3507	151	3	𝑣𝑣2	𝑣𝑣2	PROPN
american_scientific_journal-3507	151	4	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	151	5	⇉	⇉	NOUN
american_scientific_journal-3507	152	1	𝑠𝑠	𝑠𝑠	ADV
american_scientific_journal-3507	152	2	=	=	PUNCT
american_scientific_journal-3507	152	3	𝑄𝑄	𝑄𝑄	PROPN
american_scientific_journal-3507	152	4	−	−	NUM
american_scientific_journal-3507	152	5	𝑣𝑣2	𝑣𝑣2	PROPN
american_scientific_journal-3507	152	6	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	152	7	𝜕𝜕̅	𝜕𝜕̅	NOUN
american_scientific_journal-3507	152	8	𝜃𝜃0	𝜃𝜃0	NOUN
american_scientific_journal-3507	152	9	=	=	SYM
american_scientific_journal-3507	152	10	�	�	PROPN
american_scientific_journal-3507	152	11	1	1	NUM
american_scientific_journal-3507	152	12	𝑄𝑄−𝑣𝑣	𝑄𝑄−𝑣𝑣	PROPN
american_scientific_journal-3507	152	13	2	2	NUM
american_scientific_journal-3507	152	14	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	152	15	�	�	PROPN
american_scientific_journal-3507	152	16	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	ADP
american_scientific_journal-3507	152	17	�	�	PROPN
american_scientific_journal-3507	152	18	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	PROPN
american_scientific_journal-3507	152	19	2𝐷𝐷	2𝐷𝐷	NUM
american_scientific_journal-3507	152	20	�	�	PROPN
american_scientific_journal-3507	152	21	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	ADP
american_scientific_journal-3507	152	22	�	�	PROPN
american_scientific_journal-3507	152	23	−𝑧𝑧	−𝑧𝑧	PART
american_scientific_journal-3507	152	24	�	�	PROPN
american_scientific_journal-3507	152	25	𝑄𝑄	𝑄𝑄	PROPN
american_scientific_journal-3507	152	26	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	152	27	�	�	PROPN
american_scientific_journal-3507	152	28	0.5	0.5	NUM
american_scientific_journal-3507	152	29	�	�	PROPN
american_scientific_journal-3507	152	30	…	…	SYM
american_scientific_journal-3507	152	31	…	…	PUNCT
american_scientific_journal-3507	152	32	……	……	NOUN
american_scientific_journal-3507	152	33	……	……	NOUN
american_scientific_journal-3507	152	34	…	…	PUNCT
american_scientific_journal-3507	152	35	…	…	SYM
american_scientific_journal-3507	152	36	…	…	PUNCT
american_scientific_journal-3507	152	37	…	…	PUNCT
american_scientific_journal-3507	152	38	…	…	PUNCT
american_scientific_journal-3507	152	39	…	…	PUNCT
american_scientific_journal-3507	152	40	…	…	PUNCT
american_scientific_journal-3507	152	41	…	…	PUNCT
american_scientific_journal-3507	152	42	……	……	NOUN
american_scientific_journal-3507	152	43	……	……	NOUN
american_scientific_journal-3507	152	44	……	……	NOUN
american_scientific_journal-3507	152	45	..	..	PUNCT
american_scientific_journal-3507	152	46	…	…	SYM
american_scientific_journal-3507	152	47	……	……	NOUN
american_scientific_journal-3507	152	48	..	..	PUNCT
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american_scientific_journal-3507	152	50	2.39	2.39	NUM
american_scientific_journal-3507	152	51	)	)	PUNCT
american_scientific_journal-3507	152	52	from	from	ADP
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american_scientific_journal-3507	152	56	14	14	NUM
american_scientific_journal-3507	152	57	]	]	SYM
american_scientific_journal-3507	152	58	𝐿𝐿−1[𝐹𝐹(𝑠𝑠	𝐿𝐿−1[𝐹𝐹(𝑠𝑠	NOUN
american_scientific_journal-3507	152	59	+	+	CCONJ
american_scientific_journal-3507	152	60	𝑎𝑎	𝑎𝑎	NOUN
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american_scientific_journal-3507	152	63	=	=	SYM
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american_scientific_journal-3507	152	65	)	)	PUNCT
american_scientific_journal-3507	152	66	]	]	PUNCT
american_scientific_journal-3507	152	67	……	……	NOUN
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american_scientific_journal-3507	153	1	…	…	PUNCT
american_scientific_journal-3507	153	2	…	…	PUNCT
american_scientific_journal-3507	153	3	……	……	NOUN
american_scientific_journal-3507	153	4	(	(	PUNCT
american_scientific_journal-3507	153	5	2.40	2.40	NUM
american_scientific_journal-3507	153	6	)	)	PUNCT
american_scientific_journal-3507	153	7	american	american	ADJ
american_scientific_journal-3507	153	8	scientific	scientific	ADJ
american_scientific_journal-3507	153	9	research	research	NOUN
american_scientific_journal-3507	153	10	journal	journal	NOUN
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american_scientific_journal-3507	153	12	engineering	engineering	NOUN
american_scientific_journal-3507	153	13	,	,	PUNCT
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american_scientific_journal-3507	153	15	,	,	PUNCT
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american_scientific_journal-3507	153	17	sciences	science	NOUN
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american_scientific_journal-3507	153	19	asrjets	asrjet	NOUN
american_scientific_journal-3507	153	20	)	)	PUNCT
american_scientific_journal-3507	153	21	(	(	PUNCT
american_scientific_journal-3507	153	22	2017	2017	NUM
american_scientific_journal-3507	153	23	)	)	PUNCT
american_scientific_journal-3507	153	24	volume	volume	NOUN
american_scientific_journal-3507	153	25	38	38	NUM
american_scientific_journal-3507	153	26	,	,	PUNCT
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american_scientific_journal-3507	153	28	1	1	NUM
american_scientific_journal-3507	153	29	,	,	PUNCT
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american_scientific_journal-3507	153	31	235	235	NUM
american_scientific_journal-3507	153	32	-	-	SYM
american_scientific_journal-3507	153	33	249	249	NUM
american_scientific_journal-3507	153	34	244	244	NUM
american_scientific_journal-3507	153	35	𝐿𝐿−1[𝐹𝐹(𝑄𝑄	𝐿𝐿−1[𝐹𝐹(𝑄𝑄	NOUN
american_scientific_journal-3507	153	36	)	)	PUNCT
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american_scientific_journal-3507	154	1	=	=	SYM
american_scientific_journal-3507	154	2	𝐿𝐿−1	𝐿𝐿−1	PROPN
american_scientific_journal-3507	154	3	�	�	PROPN
american_scientific_journal-3507	154	4	𝐹𝐹	𝐹𝐹	PROPN
american_scientific_journal-3507	154	5	�	�	NOUN
american_scientific_journal-3507	154	6	𝑠𝑠	𝑠𝑠	PROPN
american_scientific_journal-3507	154	7	+	+	CCONJ
american_scientific_journal-3507	154	8	𝑣𝑣2	𝑣𝑣2	PROPN
american_scientific_journal-3507	154	9	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	154	10	�	�	PROPN
american_scientific_journal-3507	154	11	�	�	PROPN
american_scientific_journal-3507	154	12	=	=	SYM
american_scientific_journal-3507	154	13	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	PROPN
american_scientific_journal-3507	154	14	�	�	PROPN
american_scientific_journal-3507	154	15	−	−	PROPN
american_scientific_journal-3507	154	16	𝑣𝑣2𝑠𝑠	𝑣𝑣2𝑠𝑠	NUM
american_scientific_journal-3507	154	17	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	154	18	�	�	PROPN
american_scientific_journal-3507	154	19	𝐿𝐿−1[𝐹𝐹(𝑠𝑠	𝐿𝐿−1[𝐹𝐹(𝑠𝑠	NOUN
american_scientific_journal-3507	154	20	)	)	PUNCT
american_scientific_journal-3507	154	21	]	]	PUNCT
american_scientific_journal-3507	154	22	…	…	SYM
american_scientific_journal-3507	154	23	……	……	NOUN
american_scientific_journal-3507	154	24	...	...	PUNCT
american_scientific_journal-3507	154	25	……	……	NOUN
american_scientific_journal-3507	154	26	.	.	PUNCT
american_scientific_journal-3507	154	27	…	…	PUNCT
american_scientific_journal-3507	154	28	……	……	NOUN
american_scientific_journal-3507	154	29	……	……	NOUN
american_scientific_journal-3507	154	30	……	……	NOUN
american_scientific_journal-3507	154	31	..............	..............	PUNCT
american_scientific_journal-3507	154	32	(	(	PUNCT
american_scientific_journal-3507	154	33	2.41	2.41	NUM
american_scientific_journal-3507	154	34	)	)	PUNCT
american_scientific_journal-3507	154	35	the	the	DET
american_scientific_journal-3507	154	36	laplace	laplace	NOUN
american_scientific_journal-3507	154	37	inverse	inverse	NOUN
american_scientific_journal-3507	154	38	of	of	ADP
american_scientific_journal-3507	154	39	equation	equation	NOUN
american_scientific_journal-3507	154	40	(	(	PUNCT
american_scientific_journal-3507	154	41	2.39	2.39	NUM
american_scientific_journal-3507	154	42	)	)	PUNCT
american_scientific_journal-3507	154	43	was	be	AUX
american_scientific_journal-3507	154	44	written	write	VERB
american_scientific_journal-3507	154	45	as	as	ADP
american_scientific_journal-3507	154	46	:	:	PUNCT
american_scientific_journal-3507	154	47	𝜃𝜃(𝜕𝜕,𝑠𝑠	𝜃𝜃(𝜕𝜕,𝑠𝑠	NUM
american_scientific_journal-3507	154	48	)	)	PUNCT
american_scientific_journal-3507	154	49	𝜃𝜃0	𝜃𝜃0	NOUN
american_scientific_journal-3507	154	50	=	=	NOUN
american_scientific_journal-3507	154	51	exp	exp	NOUN
american_scientific_journal-3507	154	52	�	�	PROPN
american_scientific_journal-3507	154	53	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	NOUN
american_scientific_journal-3507	154	54	2𝐷𝐷	2𝐷𝐷	NUM
american_scientific_journal-3507	154	55	�	�	PROPN
american_scientific_journal-3507	154	56	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	ADP
american_scientific_journal-3507	154	57	�	�	PROPN
american_scientific_journal-3507	154	58	−	−	PROPN
american_scientific_journal-3507	154	59	𝑣𝑣2𝑠𝑠	𝑣𝑣2𝑠𝑠	NUM
american_scientific_journal-3507	154	60	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	154	61	�	�	PROPN
american_scientific_journal-3507	154	62	𝐿𝐿−1	𝐿𝐿−1	PROPN
american_scientific_journal-3507	154	63	�	�	PROPN
american_scientific_journal-3507	154	64	1	1	NUM
american_scientific_journal-3507	154	65	𝑄𝑄−𝑣𝑣	𝑄𝑄−𝑣𝑣	PROPN
american_scientific_journal-3507	154	66	2	2	NUM
american_scientific_journal-3507	154	67	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	154	68	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	ADP
american_scientific_journal-3507	154	69	�	�	PROPN
american_scientific_journal-3507	154	70	−𝑧𝑧	−𝑧𝑧	PART
american_scientific_journal-3507	154	71	�	�	PROPN
american_scientific_journal-3507	154	72	𝑄𝑄	𝑄𝑄	PROPN
american_scientific_journal-3507	154	73	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	154	74	�	�	PROPN
american_scientific_journal-3507	154	75	0.5	0.5	NUM
american_scientific_journal-3507	154	76	�	�	PROPN
american_scientific_journal-3507	154	77	�	�	PROPN
american_scientific_journal-3507	154	78	…	…	SYM
american_scientific_journal-3507	154	79	…	…	PUNCT
american_scientific_journal-3507	154	80	…	…	PUNCT
american_scientific_journal-3507	154	81	…	…	PUNCT
american_scientific_journal-3507	154	82	…	…	PUNCT
american_scientific_journal-3507	154	83	…	…	PUNCT
american_scientific_journal-3507	154	84	……	……	NOUN
american_scientific_journal-3507	154	85	……	……	NOUN
american_scientific_journal-3507	154	86	..	..	PUNCT
american_scientific_journal-3507	154	87	…	…	PUNCT
american_scientific_journal-3507	154	88	……	……	NOUN
american_scientific_journal-3507	154	89	……	……	NOUN
american_scientific_journal-3507	154	90	……	……	NOUN
american_scientific_journal-3507	154	91	(	(	PUNCT
american_scientific_journal-3507	154	92	2.42	2.42	NUM
american_scientific_journal-3507	154	93	)	)	PUNCT
american_scientific_journal-3507	154	94	carslaw	carslaw	NOUN
american_scientific_journal-3507	154	95	and	and	CCONJ
american_scientific_journal-3507	154	96	jaeger	jaeger	NOUN
american_scientific_journal-3507	154	97	[	[	X
american_scientific_journal-3507	154	98	15	15	NUM
american_scientific_journal-3507	154	99	]	]	PUNCT
american_scientific_journal-3507	154	100	have	have	AUX
american_scientific_journal-3507	154	101	shown	show	VERB
american_scientific_journal-3507	154	102	that	that	SCONJ
american_scientific_journal-3507	154	103	the	the	DET
american_scientific_journal-3507	154	104	inverse	inverse	ADJ
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american_scientific_journal-3507	154	108	rhs	rhs	PROPN
american_scientific_journal-3507	154	109	of	of	ADP
american_scientific_journal-3507	154	110	eqn	eqn	PROPN
american_scientific_journal-3507	154	111	.	.	PUNCT
american_scientific_journal-3507	155	1	(	(	PUNCT
american_scientific_journal-3507	155	2	2.42	2.42	NUM
american_scientific_journal-3507	155	3	)	)	PUNCT
american_scientific_journal-3507	155	4	could	could	AUX
american_scientific_journal-3507	155	5	be	be	AUX
american_scientific_journal-3507	155	6	written	write	VERB
american_scientific_journal-3507	155	7	as	as	ADP
american_scientific_journal-3507	155	8	:	:	PUNCT
american_scientific_journal-3507	155	9	𝐿𝐿−1	𝐿𝐿−1	PROPN
american_scientific_journal-3507	155	10	�	�	PROPN
american_scientific_journal-3507	155	11	1	1	NUM
american_scientific_journal-3507	155	12	𝑄𝑄−𝑣𝑣	𝑄𝑄−𝑣𝑣	PROPN
american_scientific_journal-3507	155	13	2	2	NUM
american_scientific_journal-3507	155	14	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	155	15	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	ADP
american_scientific_journal-3507	155	16	�	�	PROPN
american_scientific_journal-3507	155	17	−𝑧𝑧	−𝑧𝑧	PART
american_scientific_journal-3507	155	18	�	�	PROPN
american_scientific_journal-3507	155	19	𝑄𝑄	𝑄𝑄	PROPN
american_scientific_journal-3507	155	20	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	155	21	�	�	PROPN
american_scientific_journal-3507	155	22	0.5	0.5	NUM
american_scientific_journal-3507	155	23	�	�	PROPN
american_scientific_journal-3507	155	24	�	�	PROPN
american_scientific_journal-3507	155	25	=	=	SYM
american_scientific_journal-3507	155	26	1	1	NUM
american_scientific_journal-3507	155	27	2	2	NUM
american_scientific_journal-3507	155	28	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	ADP
american_scientific_journal-3507	155	29	�	�	PROPN
american_scientific_journal-3507	155	30	𝑣𝑣	𝑣𝑣	NUM
american_scientific_journal-3507	155	31	2𝑠𝑠	2𝑠𝑠	ADJ
american_scientific_journal-3507	155	32	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	155	33	�	�	PROPN
american_scientific_journal-3507	155	34	⎣	⎣	ADJ
american_scientific_journal-3507	155	35	⎢	⎢	NOUN
american_scientific_journal-3507	155	36	⎢	⎢	NOUN
american_scientific_journal-3507	155	37	⎢	⎢	NOUN
american_scientific_journal-3507	155	38	⎡𝑒𝑒𝐴𝐴𝐴𝐴	⎡𝑒𝑒𝐴𝐴𝐴𝐴	ADP
american_scientific_journal-3507	155	39	�	�	NOUN
american_scientific_journal-3507	155	40	−	−	ADP
american_scientific_journal-3507	155	41	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	NOUN
american_scientific_journal-3507	155	42	2𝐷𝐷	2𝐷𝐷	NUM
american_scientific_journal-3507	155	43	�	�	NOUN
american_scientific_journal-3507	155	44	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	VERB
american_scientific_journal-3507	155	45	�	�	PROPN
american_scientific_journal-3507	156	1	𝜕𝜕	𝜕𝜕	ADJ
american_scientific_journal-3507	156	2	2√𝐷𝐷𝑠𝑠	2√𝐷𝐷𝑠𝑠	NUM
american_scientific_journal-3507	156	3	−	−	PROPN
american_scientific_journal-3507	156	4	�	�	PROPN
american_scientific_journal-3507	156	5	𝑣𝑣2𝑠𝑠	𝑣𝑣2𝑠𝑠	NUM
american_scientific_journal-3507	156	6	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	156	7	�	�	PROPN
american_scientific_journal-3507	156	8	+	+	CCONJ
american_scientific_journal-3507	156	9	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	ADP
american_scientific_journal-3507	156	10	�	�	PROPN
american_scientific_journal-3507	156	11	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	PROPN
american_scientific_journal-3507	156	12	2𝐷𝐷	2𝐷𝐷	NUM
american_scientific_journal-3507	156	13	�	�	PROPN
american_scientific_journal-3507	156	14	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	PROPN
american_scientific_journal-3507	156	15	�	�	PROPN
american_scientific_journal-3507	156	16	𝜕𝜕	𝜕𝜕	ADP
american_scientific_journal-3507	156	17	2√𝐷𝐷𝑠𝑠	2√𝐷𝐷𝑠𝑠	NUM
american_scientific_journal-3507	157	1	+	+	SYM
american_scientific_journal-3507	157	2	�	�	NOUN
american_scientific_journal-3507	157	3	𝑣𝑣2𝑠𝑠	𝑣𝑣2𝑠𝑠	NUM
american_scientific_journal-3507	157	4	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	157	5	�	�	PROPN
american_scientific_journal-3507	157	6	⎦	⎦	NOUN
american_scientific_journal-3507	157	7	⎥	⎥	PROPN
american_scientific_journal-3507	157	8	⎥	⎥	PROPN
american_scientific_journal-3507	157	9	⎥	⎥	PROPN
american_scientific_journal-3507	157	10	⎤	⎤	PROPN
american_scientific_journal-3507	157	11	…	…	PUNCT
american_scientific_journal-3507	157	12	…	…	SYM
american_scientific_journal-3507	157	13	……	……	NOUN
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american_scientific_journal-3507	157	15	2.43	2.43	NUM
american_scientific_journal-3507	157	16	)	)	PUNCT
american_scientific_journal-3507	157	17	substituting	substitute	VERB
american_scientific_journal-3507	157	18	equation	equation	NOUN
american_scientific_journal-3507	157	19	(	(	PUNCT
american_scientific_journal-3507	157	20	2.43	2.43	NUM
american_scientific_journal-3507	157	21	)	)	PUNCT
american_scientific_journal-3507	157	22	into	into	ADP
american_scientific_journal-3507	157	23	equation	equation	NOUN
american_scientific_journal-3507	157	24	(	(	PUNCT
american_scientific_journal-3507	157	25	2.42	2.42	NUM
american_scientific_journal-3507	157	26	)	)	PUNCT
american_scientific_journal-3507	157	27	gave	give	VERB
american_scientific_journal-3507	157	28	𝜕𝜕(𝜕𝜕,𝑠𝑠	𝜕𝜕(𝜕𝜕,𝑠𝑠	NOUN
american_scientific_journal-3507	157	29	)	)	PUNCT
american_scientific_journal-3507	157	30	𝜕𝜕0	𝜕𝜕0	X
american_scientific_journal-3507	158	1	=	=	SYM
american_scientific_journal-3507	158	2	1	1	NUM
american_scientific_journal-3507	158	3	2	2	NUM
american_scientific_journal-3507	158	4	exp	exp	NOUN
american_scientific_journal-3507	158	5	�	�	PROPN
american_scientific_journal-3507	158	6	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	NOUN
american_scientific_journal-3507	158	7	2𝐷𝐷	2𝐷𝐷	NUM
american_scientific_journal-3507	158	8	�	�	PROPN
american_scientific_journal-3507	158	9	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	ADP
american_scientific_journal-3507	158	10	�	�	PROPN
american_scientific_journal-3507	158	11	−	−	PROPN
american_scientific_journal-3507	158	12	𝑣𝑣2𝑠𝑠	𝑣𝑣2𝑠𝑠	NUM
american_scientific_journal-3507	158	13	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	158	14	�	�	PROPN
american_scientific_journal-3507	158	15	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	ADP
american_scientific_journal-3507	158	16	�	�	PROPN
american_scientific_journal-3507	158	17	𝑣𝑣	𝑣𝑣	NUM
american_scientific_journal-3507	158	18	2𝑠𝑠	2𝑠𝑠	ADJ
american_scientific_journal-3507	158	19	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	158	20	�	�	PROPN
american_scientific_journal-3507	158	21	⎣	⎣	ADJ
american_scientific_journal-3507	158	22	⎢	⎢	NOUN
american_scientific_journal-3507	158	23	⎢	⎢	NOUN
american_scientific_journal-3507	158	24	⎢	⎢	NOUN
american_scientific_journal-3507	158	25	⎡𝑒𝑒𝐴𝐴𝐴𝐴	⎡𝑒𝑒𝐴𝐴𝐴𝐴	ADP
american_scientific_journal-3507	158	26	�	�	NOUN
american_scientific_journal-3507	158	27	−	−	ADP
american_scientific_journal-3507	158	28	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	NOUN
american_scientific_journal-3507	158	29	2𝐷𝐷	2𝐷𝐷	NUM
american_scientific_journal-3507	158	30	�	�	NOUN
american_scientific_journal-3507	158	31	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	VERB
american_scientific_journal-3507	158	32	�	�	PROPN
american_scientific_journal-3507	158	33	𝜕𝜕	𝜕𝜕	ADJ
american_scientific_journal-3507	158	34	2√𝐷𝐷𝑠𝑠	2√𝐷𝐷𝑠𝑠	NUM
american_scientific_journal-3507	158	35	−	−	PROPN
american_scientific_journal-3507	158	36	�	�	PROPN
american_scientific_journal-3507	158	37	𝑣𝑣2𝑠𝑠	𝑣𝑣2𝑠𝑠	NUM
american_scientific_journal-3507	158	38	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	158	39	�	�	PROPN
american_scientific_journal-3507	158	40	+	+	CCONJ
american_scientific_journal-3507	158	41	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	ADJ
american_scientific_journal-3507	158	42	�	�	PROPN
american_scientific_journal-3507	158	43	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	PROPN
american_scientific_journal-3507	158	44	2𝐷𝐷	2𝐷𝐷	NUM
american_scientific_journal-3507	158	45	�	�	PROPN
american_scientific_journal-3507	158	46	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	PROPN
american_scientific_journal-3507	158	47	�	�	PROPN
american_scientific_journal-3507	158	48	𝜕𝜕	𝜕𝜕	ADP
american_scientific_journal-3507	158	49	2√𝐷𝐷𝑠𝑠	2√𝐷𝐷𝑠𝑠	NUM
american_scientific_journal-3507	159	1	+	+	SYM
american_scientific_journal-3507	159	2	�	�	NOUN
american_scientific_journal-3507	159	3	𝑣𝑣2𝑠𝑠	𝑣𝑣2𝑠𝑠	NUM
american_scientific_journal-3507	159	4	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	159	5	�	�	PROPN
american_scientific_journal-3507	159	6	⎦	⎦	NOUN
american_scientific_journal-3507	159	7	⎥	⎥	PROPN
american_scientific_journal-3507	159	8	⎥	⎥	PROPN
american_scientific_journal-3507	159	9	⎥	⎥	PROPN
american_scientific_journal-3507	159	10	⎤	⎤	PROPN
american_scientific_journal-3507	159	11	…	…	PUNCT
american_scientific_journal-3507	159	12	…	…	SYM
american_scientific_journal-3507	159	13	……	……	NOUN
american_scientific_journal-3507	159	14	.	.	PUNCT
american_scientific_journal-3507	160	1	(	(	PUNCT
american_scientific_journal-3507	160	2	2.44	2.44	NUM
american_scientific_journal-3507	160	3	)	)	PUNCT
american_scientific_journal-3507	160	4	𝜕𝜕(𝜕𝜕,𝑠𝑠	𝜕𝜕(𝜕𝜕,𝑠𝑠	NOUN
american_scientific_journal-3507	160	5	)	)	PUNCT
american_scientific_journal-3507	160	6	𝜕𝜕0	𝜕𝜕0	X
american_scientific_journal-3507	161	1	=	=	SYM
american_scientific_journal-3507	161	2	1	1	NUM
american_scientific_journal-3507	161	3	2	2	NUM
american_scientific_journal-3507	161	4	�	�	PROPN
american_scientific_journal-3507	161	5	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	ADP
american_scientific_journal-3507	161	6	�	�	PROPN
american_scientific_journal-3507	161	7	−	−	PROPN
american_scientific_journal-3507	161	8	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	NOUN
american_scientific_journal-3507	161	9	2𝐷𝐷	2𝐷𝐷	NUM
american_scientific_journal-3507	161	10	�	�	NOUN
american_scientific_journal-3507	161	11	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	VERB
american_scientific_journal-3507	161	12	�	�	PROPN
american_scientific_journal-3507	161	13	𝜕𝜕	𝜕𝜕	ADJ
american_scientific_journal-3507	161	14	2√𝐷𝐷𝑠𝑠	2√𝐷𝐷𝑠𝑠	NUM
american_scientific_journal-3507	161	15	−	−	PROPN
american_scientific_journal-3507	161	16	�	�	PROPN
american_scientific_journal-3507	161	17	𝑣𝑣2𝑠𝑠	𝑣𝑣2𝑠𝑠	NUM
american_scientific_journal-3507	161	18	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	161	19	�	�	PROPN
american_scientific_journal-3507	161	20	+	+	CCONJ
american_scientific_journal-3507	161	21	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	ADP
american_scientific_journal-3507	161	22	�	�	PROPN
american_scientific_journal-3507	161	23	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	PROPN
american_scientific_journal-3507	161	24	2𝐷𝐷	2𝐷𝐷	NUM
american_scientific_journal-3507	161	25	�	�	PROPN
american_scientific_journal-3507	161	26	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	PROPN
american_scientific_journal-3507	161	27	�	�	PROPN
american_scientific_journal-3507	161	28	𝜕𝜕	𝜕𝜕	ADP
american_scientific_journal-3507	161	29	2√𝐷𝐷𝑠𝑠	2√𝐷𝐷𝑠𝑠	NUM
american_scientific_journal-3507	161	30	+	+	SYM
american_scientific_journal-3507	161	31	�	�	NOUN
american_scientific_journal-3507	161	32	𝑣𝑣2𝑠𝑠	𝑣𝑣2𝑠𝑠	NUM
american_scientific_journal-3507	161	33	4𝐷𝐷	4𝐷𝐷	NUM
american_scientific_journal-3507	161	34	�	�	PROPN
american_scientific_journal-3507	161	35	�	�	PROPN
american_scientific_journal-3507	161	36	…	…	NUM
american_scientific_journal-3507	161	37	...	...	PUNCT
american_scientific_journal-3507	161	38	……	……	NOUN
american_scientific_journal-3507	161	39	..	..	PUNCT
american_scientific_journal-3507	161	40	…	…	PUNCT
american_scientific_journal-3507	161	41	(	(	PUNCT
american_scientific_journal-3507	161	42	2.45	2.45	NUM
american_scientific_journal-3507	161	43	)	)	PUNCT
american_scientific_journal-3507	161	44	𝜕𝜕(𝜕𝜕,𝑠𝑠	𝜕𝜕(𝜕𝜕,𝑠𝑠	NOUN
american_scientific_journal-3507	161	45	)	)	PUNCT
american_scientific_journal-3507	161	46	𝜕𝜕0	𝜕𝜕0	NOUN
american_scientific_journal-3507	161	47	=	=	SYM
american_scientific_journal-3507	161	48	𝜕𝜕0	𝜕𝜕0	ADP
american_scientific_journal-3507	161	49	2	2	NUM
american_scientific_journal-3507	161	50	�	�	NOUN
american_scientific_journal-3507	161	51	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	NOUN
american_scientific_journal-3507	161	52	�	�	PROPN
american_scientific_journal-3507	161	53	𝜕𝜕−𝑣𝑣𝑠𝑠	𝜕𝜕−𝑣𝑣𝑠𝑠	PROPN
american_scientific_journal-3507	161	54	2√𝐷𝐷𝑠𝑠	2√𝐷𝐷𝑠𝑠	NUM
american_scientific_journal-3507	161	55	�	�	PROPN
american_scientific_journal-3507	161	56	+	+	CCONJ
american_scientific_journal-3507	161	57	𝑒𝑒𝐴𝐴𝐴𝐴	𝑒𝑒𝐴𝐴𝐴𝐴	ADJ
american_scientific_journal-3507	161	58	�	�	PROPN
american_scientific_journal-3507	161	59	𝑣𝑣𝜕𝜕	𝑣𝑣𝜕𝜕	PROPN
american_scientific_journal-3507	161	60	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	161	61	�	�	PROPN
american_scientific_journal-3507	161	62	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	𝑒𝑒𝑒𝑒𝑓𝑓𝑐𝑐	PROPN
american_scientific_journal-3507	161	63	�	�	PROPN
american_scientific_journal-3507	161	64	𝜕𝜕+𝑣𝑣𝑠𝑠	𝜕𝜕+𝑣𝑣𝑠𝑠	PROPN
american_scientific_journal-3507	161	65	2√𝐷𝐷𝑠𝑠	2√𝐷𝐷𝑠𝑠	NUM
american_scientific_journal-3507	161	66	�	�	PROPN
american_scientific_journal-3507	161	67	�	�	PROPN
american_scientific_journal-3507	161	68	…	…	NUM
american_scientific_journal-3507	161	69	…	…	PUNCT
american_scientific_journal-3507	161	70	…	…	PUNCT
american_scientific_journal-3507	161	71	…	…	SYM
american_scientific_journal-3507	161	72	.	.	NUM
american_scientific_journal-3507	161	73	…	…	PUNCT
american_scientific_journal-3507	161	74	…	…	PUNCT
american_scientific_journal-3507	161	75	…	…	PUNCT
american_scientific_journal-3507	161	76	…	…	PUNCT
american_scientific_journal-3507	161	77	…	…	PUNCT
american_scientific_journal-3507	161	78	…	…	PUNCT
american_scientific_journal-3507	161	79	…	…	PUNCT
american_scientific_journal-3507	161	80	…	…	PUNCT
american_scientific_journal-3507	161	81	…	…	PUNCT
american_scientific_journal-3507	161	82	…	…	PUNCT
american_scientific_journal-3507	161	83	…	…	PUNCT
american_scientific_journal-3507	161	84	..	..	PUNCT
american_scientific_journal-3507	161	85	(2.46	(2.46	VERB
american_scientific_journal-3507	161	86	2.5	2.5	NUM
american_scientific_journal-3507	161	87	finite	finite	ADJ
american_scientific_journal-3507	161	88	difference	difference	NOUN
american_scientific_journal-3507	161	89	solution	solution	NOUN
american_scientific_journal-3507	161	90	of	of	ADP
american_scientific_journal-3507	161	91	the	the	DET
american_scientific_journal-3507	161	92	cde	cde	NOUN
american_scientific_journal-3507	161	93	the	the	DET
american_scientific_journal-3507	161	94	cde	cde	PROPN
american_scientific_journal-3507	161	95	was	be	AUX
american_scientific_journal-3507	161	96	also	also	ADV
american_scientific_journal-3507	161	97	solved	solve	VERB
american_scientific_journal-3507	161	98	numerically	numerically	ADV
american_scientific_journal-3507	161	99	by	by	ADP
american_scientific_journal-3507	161	100	fully	fully	ADV
american_scientific_journal-3507	161	101	implicit	implicit	ADJ
american_scientific_journal-3507	161	102	(	(	PUNCT
american_scientific_journal-3507	161	103	backward	backward	ADJ
american_scientific_journal-3507	161	104	in	in	ADP
american_scientific_journal-3507	161	105	time	time	NOUN
american_scientific_journal-3507	161	106	)	)	PUNCT
american_scientific_journal-3507	161	107	finite	finite	ADJ
american_scientific_journal-3507	161	108	difference	difference	NOUN
american_scientific_journal-3507	161	109	scheme	scheme	NOUN
american_scientific_journal-3507	161	110	.	.	PUNCT
american_scientific_journal-3507	162	1	the	the	DET
american_scientific_journal-3507	162	2	model	model	NOUN
american_scientific_journal-3507	162	3	domain	domain	NOUN
american_scientific_journal-3507	162	4	was	be	AUX
american_scientific_journal-3507	162	5	discretized	discretize	VERB
american_scientific_journal-3507	162	6	into	into	ADP
american_scientific_journal-3507	162	7	grid	grid	NOUN
american_scientific_journal-3507	162	8	points	point	NOUN
american_scientific_journal-3507	162	9	using	use	VERB
american_scientific_journal-3507	162	10	space	space	NOUN
american_scientific_journal-3507	162	11	and	and	CCONJ
american_scientific_journal-3507	162	12	time	time	NOUN
american_scientific_journal-3507	162	13	steps	step	NOUN
american_scientific_journal-3507	162	14	of	of	ADP
american_scientific_journal-3507	162	15	1	1	NUM
american_scientific_journal-3507	162	16	cm	cm	NOUN
american_scientific_journal-3507	162	17	and	and	CCONJ
american_scientific_journal-3507	162	18	1	1	NUM
american_scientific_journal-3507	162	19	hour	hour	NOUN
american_scientific_journal-3507	162	20	respectively	respectively	ADV
american_scientific_journal-3507	162	21	.	.	PUNCT
american_scientific_journal-3507	163	1	applying	apply	VERB
american_scientific_journal-3507	163	2	the	the	DET
american_scientific_journal-3507	163	3	assumptions	assumption	NOUN
american_scientific_journal-3507	163	4	,	,	PUNCT
american_scientific_journal-3507	163	5	equation	equation	NOUN
american_scientific_journal-3507	163	6	(	(	PUNCT
american_scientific_journal-3507	163	7	2.8	2.8	NUM
american_scientific_journal-3507	163	8	)	)	PUNCT
american_scientific_journal-3507	163	9	reduces	reduce	VERB
american_scientific_journal-3507	163	10	to	to	PART
american_scientific_journal-3507	163	11	∂c	∂c	VERB
american_scientific_journal-3507	164	1	∂t	∂t	PROPN
american_scientific_journal-3507	164	2	=	=	SYM
american_scientific_journal-3507	164	3	d	d	PROPN
american_scientific_journal-3507	164	4	∂2c	∂2c	PROPN
american_scientific_journal-3507	164	5	∂z2	∂z2	PROPN
american_scientific_journal-3507	164	6	−	−	PROPN
american_scientific_journal-3507	164	7	v	v	PROPN
american_scientific_journal-3507	164	8	∂c	∂c	PROPN
american_scientific_journal-3507	164	9	∂z	∂z	PROPN
american_scientific_journal-3507	164	10	…	…	PUNCT
american_scientific_journal-3507	164	11	…	…	PUNCT
american_scientific_journal-3507	164	12	…	…	PUNCT
american_scientific_journal-3507	164	13	…	…	PUNCT
american_scientific_journal-3507	164	14	…	…	PUNCT
american_scientific_journal-3507	164	15	…	…	PUNCT
american_scientific_journal-3507	164	16	…	…	PUNCT
american_scientific_journal-3507	164	17	…	…	PUNCT
american_scientific_journal-3507	164	18	…	…	PUNCT
american_scientific_journal-3507	164	19	…	…	PUNCT
american_scientific_journal-3507	164	20	……	……	NOUN
american_scientific_journal-3507	164	21	……	……	NOUN
american_scientific_journal-3507	164	22	……	……	NOUN
american_scientific_journal-3507	164	23	……	……	NOUN
american_scientific_journal-3507	164	24	.	.	PUNCT
american_scientific_journal-3507	165	1	……	……	NOUN
american_scientific_journal-3507	165	2	……	……	NOUN
american_scientific_journal-3507	165	3	.	.	PUNCT
american_scientific_journal-3507	166	1	……	……	NOUN
american_scientific_journal-3507	166	2	.	.	PUNCT
american_scientific_journal-3507	167	1	…	…	PUNCT
american_scientific_journal-3507	167	2	…	…	PUNCT
american_scientific_journal-3507	167	3	…	…	PUNCT
american_scientific_journal-3507	167	4	..	..	PUNCT
american_scientific_journal-3507	167	5	(	(	PUNCT
american_scientific_journal-3507	167	6	2.47	2.47	NUM
american_scientific_journal-3507	167	7	)	)	PUNCT
american_scientific_journal-3507	167	8	converting	convert	VERB
american_scientific_journal-3507	167	9	the	the	DET
american_scientific_journal-3507	167	10	cde	cde	NOUN
american_scientific_journal-3507	167	11	equation	equation	NOUN
american_scientific_journal-3507	167	12	(	(	PUNCT
american_scientific_journal-3507	167	13	3.24	3.24	NUM
american_scientific_journal-3507	167	14	)	)	PUNCT
american_scientific_journal-3507	167	15	into	into	ADP
american_scientific_journal-3507	167	16	a	a	DET
american_scientific_journal-3507	167	17	difference	difference	NOUN
american_scientific_journal-3507	167	18	equation	equation	NOUN
american_scientific_journal-3507	167	19	gives	give	VERB
american_scientific_journal-3507	167	20	:	:	PUNCT
american_scientific_journal-3507	167	21	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	NOUN
american_scientific_journal-3507	167	22	𝜕𝜕𝑠𝑠	𝜕𝜕𝑠𝑠	NUM
american_scientific_journal-3507	168	1	=	=	SYM
american_scientific_journal-3507	168	2	𝜃𝜃𝑖𝑖	𝜃𝜃𝑖𝑖	PROPN
american_scientific_journal-3507	169	1	𝑗𝑗+1−𝜃𝜃𝑖𝑖	𝑗𝑗+1−𝜃𝜃𝑖𝑖	PROPN
american_scientific_journal-3507	169	2	𝑗𝑗	𝑗𝑗	INTJ
american_scientific_journal-3507	169	3	∆𝑠𝑠	∆𝑠𝑠	PROPN
american_scientific_journal-3507	169	4	…	…	SYM
american_scientific_journal-3507	169	5	…	…	PUNCT
american_scientific_journal-3507	169	6	…	…	PUNCT
american_scientific_journal-3507	169	7	…	…	PUNCT
american_scientific_journal-3507	169	8	…	…	PUNCT
american_scientific_journal-3507	169	9	…	…	PUNCT
american_scientific_journal-3507	169	10	…	…	PUNCT
american_scientific_journal-3507	169	11	…	…	PUNCT
american_scientific_journal-3507	169	12	……	……	NOUN
american_scientific_journal-3507	169	13	……	……	NOUN
american_scientific_journal-3507	169	14	……	……	NOUN
american_scientific_journal-3507	169	15	……	……	NOUN
american_scientific_journal-3507	169	16	……	……	NOUN
american_scientific_journal-3507	169	17	……	……	NOUN
american_scientific_journal-3507	169	18	........................................	........................................	PUNCT
american_scientific_journal-3507	169	19	(	(	PUNCT
american_scientific_journal-3507	169	20	2.48	2.48	NUM
american_scientific_journal-3507	169	21	)	)	PUNCT
american_scientific_journal-3507	169	22	american	american	ADJ
american_scientific_journal-3507	169	23	scientific	scientific	ADJ
american_scientific_journal-3507	169	24	research	research	NOUN
american_scientific_journal-3507	169	25	journal	journal	NOUN
american_scientific_journal-3507	169	26	for	for	ADP
american_scientific_journal-3507	169	27	engineering	engineering	NOUN
american_scientific_journal-3507	169	28	,	,	PUNCT
american_scientific_journal-3507	169	29	technology	technology	NOUN
american_scientific_journal-3507	169	30	,	,	PUNCT
american_scientific_journal-3507	169	31	and	and	CCONJ
american_scientific_journal-3507	169	32	sciences	science	NOUN
american_scientific_journal-3507	169	33	(	(	PUNCT
american_scientific_journal-3507	169	34	asrjets	asrjet	NOUN
american_scientific_journal-3507	169	35	)	)	PUNCT
american_scientific_journal-3507	169	36	(	(	PUNCT
american_scientific_journal-3507	169	37	2017	2017	NUM
american_scientific_journal-3507	169	38	)	)	PUNCT
american_scientific_journal-3507	169	39	volume	volume	NOUN
american_scientific_journal-3507	169	40	38	38	NUM
american_scientific_journal-3507	169	41	,	,	PUNCT
american_scientific_journal-3507	169	42	no	no	DET
american_scientific_journal-3507	169	43	1	1	NUM
american_scientific_journal-3507	169	44	,	,	PUNCT
american_scientific_journal-3507	169	45	pp	pp	ADV
american_scientific_journal-3507	169	46	235	235	NUM
american_scientific_journal-3507	169	47	-	-	SYM
american_scientific_journal-3507	169	48	249	249	NUM
american_scientific_journal-3507	169	49	245	245	NUM
american_scientific_journal-3507	169	50	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	169	51	∂2c	∂2c	NOUN
american_scientific_journal-3507	169	52	𝜕𝜕𝜕𝜕2	𝜕𝜕𝜕𝜕2	PROPN
american_scientific_journal-3507	169	53	=	=	SYM
american_scientific_journal-3507	169	54	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	169	55	𝜃𝜃𝑖𝑖+1	𝜃𝜃𝑖𝑖+1	PUNCT
american_scientific_journal-3507	170	1	𝑗𝑗+1−2𝜃𝜃𝑖𝑖	𝑗𝑗+1−2𝜃𝜃𝑖𝑖	INTJ
american_scientific_journal-3507	170	2	𝑗𝑗+1+𝜃𝜃𝑖𝑖−1	𝑗𝑗+1+𝜃𝜃𝑖𝑖−1	NOUN
american_scientific_journal-3507	170	3	𝑗𝑗+1	𝑗𝑗+1	PROPN
american_scientific_journal-3507	171	1	(	(	PUNCT
american_scientific_journal-3507	171	2	∆𝜕𝜕)2	∆𝜕𝜕)2	PROPN
american_scientific_journal-3507	171	3	…	…	PUNCT
american_scientific_journal-3507	171	4	…	…	PUNCT
american_scientific_journal-3507	171	5	…	…	PUNCT
american_scientific_journal-3507	171	6	…	…	PUNCT
american_scientific_journal-3507	171	7	…	…	PUNCT
american_scientific_journal-3507	171	8	…	…	PUNCT
american_scientific_journal-3507	171	9	…	…	PUNCT
american_scientific_journal-3507	171	10	…	…	PUNCT
american_scientific_journal-3507	171	11	…	…	PUNCT
american_scientific_journal-3507	171	12	…	…	PUNCT
american_scientific_journal-3507	171	13	……	……	NOUN
american_scientific_journal-3507	171	14	……	……	NOUN
american_scientific_journal-3507	171	15	……	……	NOUN
american_scientific_journal-3507	171	16	……	……	NOUN
american_scientific_journal-3507	171	17	……	……	NOUN
american_scientific_journal-3507	171	18	……	……	NOUN
american_scientific_journal-3507	171	19	……	……	NOUN
american_scientific_journal-3507	171	20	..	..	PUNCT
american_scientific_journal-3507	171	21	(	(	PUNCT
american_scientific_journal-3507	171	22	2.49	2.49	NUM
american_scientific_journal-3507	171	23	)	)	PUNCT
american_scientific_journal-3507	171	24	𝑣𝑣	𝑣𝑣	NUM
american_scientific_journal-3507	171	25	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	171	26	𝜕𝜕𝜕𝜕	𝜕𝜕𝜕𝜕	PROPN
american_scientific_journal-3507	171	27	=	=	SYM
american_scientific_journal-3507	171	28	𝑣𝑣	𝑣𝑣	NUM
american_scientific_journal-3507	171	29	𝜃𝜃𝑖𝑖+1	𝜃𝜃𝑖𝑖+1	PROPN
american_scientific_journal-3507	171	30	𝑗𝑗+1−𝜃𝜃𝑖𝑖−1	𝑗𝑗+1−𝜃𝜃𝑖𝑖−1	NOUN
american_scientific_journal-3507	171	31	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	171	32	2∆𝜕𝜕	2∆𝜕𝜕	NUM
american_scientific_journal-3507	171	33	…	…	PUNCT
american_scientific_journal-3507	171	34	…	…	PUNCT
american_scientific_journal-3507	171	35	…	…	PUNCT
american_scientific_journal-3507	171	36	…	…	PUNCT
american_scientific_journal-3507	171	37	…	…	PUNCT
american_scientific_journal-3507	171	38	…	…	PUNCT
american_scientific_journal-3507	171	39	…	…	PUNCT
american_scientific_journal-3507	171	40	…	…	PUNCT
american_scientific_journal-3507	171	41	…	…	PUNCT
american_scientific_journal-3507	171	42	…	…	PUNCT
american_scientific_journal-3507	171	43	…	…	PUNCT
american_scientific_journal-3507	171	44	……	……	NOUN
american_scientific_journal-3507	171	45	……	……	NOUN
american_scientific_journal-3507	171	46	……	……	NOUN
american_scientific_journal-3507	171	47	……	……	NOUN
american_scientific_journal-3507	171	48	……	……	NOUN
american_scientific_journal-3507	171	49	……	……	NOUN
american_scientific_journal-3507	171	50	……	……	NOUN
american_scientific_journal-3507	171	51	……	……	NOUN
american_scientific_journal-3507	171	52	..	..	PUNCT
american_scientific_journal-3507	171	53	(	(	PUNCT
american_scientific_journal-3507	171	54	2.50	2.50	NUM
american_scientific_journal-3507	171	55	)	)	PUNCT
american_scientific_journal-3507	171	56	substituting	substitute	VERB
american_scientific_journal-3507	171	57	equation	equation	NOUN
american_scientific_journal-3507	171	58	(	(	PUNCT
american_scientific_journal-3507	171	59	3.63	3.63	NUM
american_scientific_journal-3507	171	60	)	)	PUNCT
american_scientific_journal-3507	171	61	,	,	PUNCT
american_scientific_journal-3507	171	62	(	(	PUNCT
american_scientific_journal-3507	171	63	3.64	3.64	NUM
american_scientific_journal-3507	171	64	)	)	PUNCT
american_scientific_journal-3507	171	65	,	,	PUNCT
american_scientific_journal-3507	171	66	and	and	CCONJ
american_scientific_journal-3507	171	67	(	(	PUNCT
american_scientific_journal-3507	171	68	3.65	3.65	NUM
american_scientific_journal-3507	171	69	)	)	PUNCT
american_scientific_journal-3507	171	70	into	into	ADP
american_scientific_journal-3507	171	71	equation	equation	NOUN
american_scientific_journal-3507	171	72	(	(	PUNCT
american_scientific_journal-3507	171	73	3.24	3.24	NUM
american_scientific_journal-3507	171	74	)	)	PUNCT
american_scientific_journal-3507	171	75	𝜃𝜃𝑖𝑖	𝜃𝜃𝑖𝑖	NOUN
american_scientific_journal-3507	172	1	𝑗𝑗+1−𝜃𝜃𝑖𝑖	𝑗𝑗+1−𝜃𝜃𝑖𝑖	PROPN
american_scientific_journal-3507	172	2	𝑗𝑗	𝑗𝑗	INTJ
american_scientific_journal-3507	172	3	∆𝑠𝑠	∆𝑠𝑠	PROPN
american_scientific_journal-3507	173	1	=	=	SYM
american_scientific_journal-3507	173	2	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-3507	173	3	𝜃𝜃𝑖𝑖+1	𝜃𝜃𝑖𝑖+1	PUNCT
american_scientific_journal-3507	174	1	𝑗𝑗+1−2𝜃𝜃𝑖𝑖	𝑗𝑗+1−2𝜃𝜃𝑖𝑖	INTJ
american_scientific_journal-3507	174	2	𝑗𝑗+1−𝜃𝜃𝑖𝑖−1	𝑗𝑗+1−𝜃𝜃𝑖𝑖−1	NOUN
american_scientific_journal-3507	175	1	𝑗𝑗+1	𝑗𝑗+1	PUNCT
american_scientific_journal-3507	176	1	(	(	PUNCT
american_scientific_journal-3507	176	2	∆𝜕𝜕)2	∆𝜕𝜕)2	PROPN
american_scientific_journal-3507	176	3	−	−	PROPN
american_scientific_journal-3507	176	4	𝑣𝑣	𝑣𝑣	NOUN
american_scientific_journal-3507	176	5	𝜃𝜃𝑖𝑖+1	𝜃𝜃𝑖𝑖+1	PROPN
american_scientific_journal-3507	176	6	𝑗𝑗+1−𝜃𝜃𝑖𝑖−1	𝑗𝑗+1−𝜃𝜃𝑖𝑖−1	NOUN
american_scientific_journal-3507	176	7	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	176	8	2∆𝜕𝜕	2∆𝜕𝜕	NUM
american_scientific_journal-3507	176	9	…	…	PUNCT
american_scientific_journal-3507	176	10	…	…	PUNCT
american_scientific_journal-3507	176	11	…	…	PUNCT
american_scientific_journal-3507	176	12	…	…	PUNCT
american_scientific_journal-3507	176	13	…	…	PUNCT
american_scientific_journal-3507	176	14	…	…	PUNCT
american_scientific_journal-3507	176	15	……	……	NOUN
american_scientific_journal-3507	176	16	……	……	NOUN
american_scientific_journal-3507	176	17	……	……	NOUN
american_scientific_journal-3507	176	18	……	……	NOUN
american_scientific_journal-3507	176	19	……	……	NOUN
american_scientific_journal-3507	176	20	……	……	NOUN
american_scientific_journal-3507	176	21	(	(	PUNCT
american_scientific_journal-3507	176	22	2.51	2.51	NUM
american_scientific_journal-3507	176	23	)	)	PUNCT
american_scientific_journal-3507	176	24	𝐶𝐶𝑖𝑖	𝐶𝐶𝑖𝑖	PROPN
american_scientific_journal-3507	176	25	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	176	26	−	−	ADP
american_scientific_journal-3507	176	27	𝐶𝐶𝑖𝑖	𝐶𝐶𝑖𝑖	PROPN
american_scientific_journal-3507	176	28	𝑗𝑗	𝑗𝑗	NOUN
american_scientific_journal-3507	176	29	=	=	SYM
american_scientific_journal-3507	176	30	𝐷𝐷(∆𝑠𝑠	𝐷𝐷(∆𝑠𝑠	NOUN
american_scientific_journal-3507	176	31	)	)	PUNCT
american_scientific_journal-3507	176	32	(	(	PUNCT
american_scientific_journal-3507	176	33	∆𝜕𝜕)2	∆𝜕𝜕)2	PROPN
american_scientific_journal-3507	176	34	�	�	PROPN
american_scientific_journal-3507	176	35	𝐶𝐶𝑖𝑖+1	𝐶𝐶𝑖𝑖+1	VERB
american_scientific_journal-3507	176	36	𝑗𝑗+1	𝑗𝑗+1	NOUN
american_scientific_journal-3507	176	37	−	−	PROPN
american_scientific_journal-3507	176	38	2𝐶𝐶𝑖𝑖	2𝐶𝐶𝑖𝑖	NUM
american_scientific_journal-3507	176	39	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	177	1	+	+	CCONJ
american_scientific_journal-3507	177	2	𝐶𝐶𝑖𝑖−1	𝐶𝐶𝑖𝑖−1	ADJ
american_scientific_journal-3507	177	3	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	177	4	�	�	PROPN
american_scientific_journal-3507	177	5	−	−	PROPN
american_scientific_journal-3507	177	6	𝑣𝑣∆𝑠𝑠	𝑣𝑣∆𝑠𝑠	PROPN
american_scientific_journal-3507	177	7	2∆𝜕𝜕	2∆𝜕𝜕	NUM
american_scientific_journal-3507	177	8	�	�	PROPN
american_scientific_journal-3507	177	9	𝐶𝐶𝑖𝑖+1	𝐶𝐶𝑖𝑖+1	X
american_scientific_journal-3507	177	10	𝑗𝑗+1	𝑗𝑗+1	NOUN
american_scientific_journal-3507	177	11	−	−	ADP
american_scientific_journal-3507	177	12	𝐶𝐶𝑖𝑖−1	𝐶𝐶𝑖𝑖−1	ADJ
american_scientific_journal-3507	177	13	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	177	14	�	�	NOUN
american_scientific_journal-3507	177	15	……	……	NOUN
american_scientific_journal-3507	177	16	……	……	NOUN
american_scientific_journal-3507	177	17	……	……	NOUN
american_scientific_journal-3507	177	18	……	……	NOUN
american_scientific_journal-3507	177	19	...	...	PUNCT
american_scientific_journal-3507	177	20	(	(	PUNCT
american_scientific_journal-3507	177	21	2.52	2.52	NUM
american_scientific_journal-3507	177	22	)	)	PUNCT
american_scientific_journal-3507	177	23	let	let	VERB
american_scientific_journal-3507	177	24	𝐴𝐴	𝐴𝐴	PROPN
american_scientific_journal-3507	177	25	=	=	SYM
american_scientific_journal-3507	177	26	𝐷𝐷∆𝑠𝑠	𝐷𝐷∆𝑠𝑠	PROPN
american_scientific_journal-3507	177	27	(	(	PUNCT
american_scientific_journal-3507	177	28	∆𝜕𝜕)2	∆𝜕𝜕)2	PROPN
american_scientific_journal-3507	177	29	,	,	PUNCT
american_scientific_journal-3507	177	30	𝑞𝑞	𝑞𝑞	X
american_scientific_journal-3507	177	31	=	=	PUNCT
american_scientific_journal-3507	177	32	𝑣𝑣∆𝑠𝑠	𝑣𝑣∆𝑠𝑠	PROPN
american_scientific_journal-3507	177	33	2∆𝜕𝜕	2∆𝜕𝜕	NUM
american_scientific_journal-3507	177	34	𝐶𝐶𝑖𝑖	𝐶𝐶𝑖𝑖	ADJ
american_scientific_journal-3507	177	35	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	177	36	−	−	ADP
american_scientific_journal-3507	177	37	𝐶𝐶𝑖𝑖	𝐶𝐶𝑖𝑖	PROPN
american_scientific_journal-3507	177	38	𝑗𝑗	𝑗𝑗	ADP
american_scientific_journal-3507	178	1	=	=	SYM
american_scientific_journal-3507	178	2	𝐴𝐴	𝐴𝐴	PROPN
american_scientific_journal-3507	178	3	�	�	PROPN
american_scientific_journal-3507	178	4	𝐶𝐶𝑖𝑖+1	𝐶𝐶𝑖𝑖+1	PROPN
american_scientific_journal-3507	178	5	𝑗𝑗+1	𝑗𝑗+1	NOUN
american_scientific_journal-3507	178	6	−	−	PROPN
american_scientific_journal-3507	178	7	2𝐶𝐶𝑖𝑖	2𝐶𝐶𝑖𝑖	NUM
american_scientific_journal-3507	178	8	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	179	1	+	+	CCONJ
american_scientific_journal-3507	179	2	𝐶𝐶𝑖𝑖−1	𝐶𝐶𝑖𝑖−1	ADJ
american_scientific_journal-3507	179	3	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	179	4	�	�	PROPN
american_scientific_journal-3507	179	5	−	−	NOUN
american_scientific_journal-3507	179	6	𝑞𝑞	𝑞𝑞	PROPN
american_scientific_journal-3507	179	7	�	�	PROPN
american_scientific_journal-3507	179	8	𝐶𝐶𝑖𝑖+1	𝐶𝐶𝑖𝑖+1	PROPN
american_scientific_journal-3507	179	9	𝑗𝑗+1	𝑗𝑗+1	NOUN
american_scientific_journal-3507	179	10	−	−	ADP
american_scientific_journal-3507	179	11	𝐶𝐶𝑖𝑖−1	𝐶𝐶𝑖𝑖−1	ADJ
american_scientific_journal-3507	179	12	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	179	13	�	�	NOUN
american_scientific_journal-3507	179	14	…	…	NUM
american_scientific_journal-3507	179	15	……	……	NOUN
american_scientific_journal-3507	179	16	……	……	NOUN
american_scientific_journal-3507	179	17	……	……	NOUN
american_scientific_journal-3507	179	18	……	……	NOUN
american_scientific_journal-3507	179	19	……	……	NOUN
american_scientific_journal-3507	179	20	.	.	PUNCT
american_scientific_journal-3507	180	1	(	(	PUNCT
american_scientific_journal-3507	180	2	2.53	2.53	NUM
american_scientific_journal-3507	180	3	)	)	PUNCT
american_scientific_journal-3507	180	4	𝐶𝐶𝑖𝑖	𝐶𝐶𝑖𝑖	PROPN
american_scientific_journal-3507	180	5	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	180	6	−	−	ADP
american_scientific_journal-3507	180	7	𝐶𝐶𝑖𝑖	𝐶𝐶𝑖𝑖	PROPN
american_scientific_journal-3507	180	8	𝑗𝑗	𝑗𝑗	NOUN
american_scientific_journal-3507	181	1	=	=	PUNCT
american_scientific_journal-3507	182	1	𝐴𝐴𝐶𝐶𝑖𝑖+1	𝐴𝐴𝐶𝐶𝑖𝑖+1	PROPN
american_scientific_journal-3507	183	1	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	184	1	−	−	ADP
american_scientific_journal-3507	184	2	2𝐴𝐴𝐶𝐶𝑖𝑖	2𝐴𝐴𝐶𝐶𝑖𝑖	NUM
american_scientific_journal-3507	184	3	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	185	1	+	+	CCONJ
american_scientific_journal-3507	185	2	𝐴𝐴𝐶𝐶𝑖𝑖−1	𝐴𝐴𝐶𝐶𝑖𝑖−1	NOUN
american_scientific_journal-3507	185	3	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	185	4	−	−	NOUN
american_scientific_journal-3507	185	5	𝑞𝑞𝐶𝐶𝑖𝑖+1	𝑞𝑞𝐶𝐶𝑖𝑖+1	X
american_scientific_journal-3507	185	6	𝑗𝑗+1	𝑗𝑗+1	PROPN
american_scientific_journal-3507	185	7	+	+	CCONJ
american_scientific_journal-3507	185	8	𝑞𝑞𝐶𝐶𝑖𝑖−1	𝑞𝑞𝐶𝐶𝑖𝑖−1	X
american_scientific_journal-3507	185	9	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	185	10	…	…	PUNCT
american_scientific_journal-3507	185	11	……	……	NOUN
american_scientific_journal-3507	185	12	……	……	NOUN
american_scientific_journal-3507	185	13	……	……	NOUN
american_scientific_journal-3507	185	14	……	……	NOUN
american_scientific_journal-3507	185	15	……	……	NOUN
american_scientific_journal-3507	185	16	.	.	PUNCT
american_scientific_journal-3507	186	1	(	(	PUNCT
american_scientific_journal-3507	186	2	2.54	2.54	NUM
american_scientific_journal-3507	186	3	)	)	PUNCT
american_scientific_journal-3507	186	4	−(𝐴𝐴	−(𝐴𝐴	PROPN
american_scientific_journal-3507	186	5	+	+	NUM
american_scientific_journal-3507	186	6	𝑞𝑞)𝐶𝐶𝑖𝑖−1	𝑞𝑞)𝐶𝐶𝑖𝑖−1	NOUN
american_scientific_journal-3507	186	7	𝑗𝑗+1	𝑗𝑗+1	NOUN
american_scientific_journal-3507	186	8	+	+	CCONJ
american_scientific_journal-3507	186	9	(	(	PUNCT
american_scientific_journal-3507	186	10	1	1	NUM
american_scientific_journal-3507	186	11	+	+	NUM
american_scientific_journal-3507	186	12	2𝐴𝐴)𝐶𝐶𝑖𝑖	2𝐴𝐴)𝐶𝐶𝑖𝑖	NUM
american_scientific_journal-3507	186	13	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	187	1	+	+	CCONJ
american_scientific_journal-3507	187	2	(	(	PUNCT
american_scientific_journal-3507	187	3	𝑞𝑞	𝑞𝑞	X
american_scientific_journal-3507	187	4	−	−	PROPN
american_scientific_journal-3507	187	5	𝐴𝐴)𝐶𝐶𝑖𝑖+1	𝐴𝐴)𝐶𝐶𝑖𝑖+1	NUM
american_scientific_journal-3507	187	6	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	187	7	=	=	PUNCT
american_scientific_journal-3507	187	8	𝐶𝐶𝑖𝑖	𝐶𝐶𝑖𝑖	PROPN
american_scientific_journal-3507	187	9	𝑗𝑗	𝑗𝑗	ADP
american_scientific_journal-3507	187	10	…	…	PUNCT
american_scientific_journal-3507	187	11	…	…	PUNCT
american_scientific_journal-3507	187	12	…	…	PUNCT
american_scientific_journal-3507	187	13	…	…	PUNCT
american_scientific_journal-3507	187	14	…	…	PUNCT
american_scientific_journal-3507	187	15	……	……	NOUN
american_scientific_journal-3507	187	16	……	……	NOUN
american_scientific_journal-3507	187	17	……	……	NOUN
american_scientific_journal-3507	187	18	……	……	NOUN
american_scientific_journal-3507	187	19	..	..	PUNCT
american_scientific_journal-3507	187	20	(	(	PUNCT
american_scientific_journal-3507	187	21	2.55	2.55	NUM
american_scientific_journal-3507	187	22	)	)	PUNCT
american_scientific_journal-3507	187	23	when	when	SCONJ
american_scientific_journal-3507	187	24	i	i	PRON
american_scientific_journal-3507	187	25	=	=	NOUN
american_scientific_journal-3507	187	26	1	1	NUM
american_scientific_journal-3507	187	27	equation	equation	NOUN
american_scientific_journal-3507	187	28	(	(	PUNCT
american_scientific_journal-3507	187	29	3.70	3.70	NUM
american_scientific_journal-3507	187	30	)	)	PUNCT
american_scientific_journal-3507	187	31	reduces	reduce	VERB
american_scientific_journal-3507	187	32	to	to	PART
american_scientific_journal-3507	187	33	:	:	PUNCT
american_scientific_journal-3507	187	34	−(𝐴𝐴	−(𝐴𝐴	PROPN
american_scientific_journal-3507	187	35	+	+	PROPN
american_scientific_journal-3507	187	36	𝑞𝑞)𝐶𝐶0	𝑞𝑞)𝐶𝐶0	PROPN
american_scientific_journal-3507	187	37	𝐽𝐽+1	𝐽𝐽+1	VERB
american_scientific_journal-3507	187	38	+	+	CCONJ
american_scientific_journal-3507	187	39	(	(	PUNCT
american_scientific_journal-3507	187	40	1	1	NUM
american_scientific_journal-3507	187	41	+	+	NUM
american_scientific_journal-3507	187	42	2𝐴𝐴)𝐶𝐶1	2𝐴𝐴)𝐶𝐶1	NOUN
american_scientific_journal-3507	187	43	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	188	1	+	+	CCONJ
american_scientific_journal-3507	188	2	(	(	PUNCT
american_scientific_journal-3507	188	3	𝑞𝑞	𝑞𝑞	INTJ
american_scientific_journal-3507	188	4	−	−	PROPN
american_scientific_journal-3507	188	5	𝐴𝐴)𝐶𝐶2	𝐴𝐴)𝐶𝐶2	ADV
american_scientific_journal-3507	188	6	𝑗𝑗+1	𝑗𝑗+1	PROPN
american_scientific_journal-3507	188	7	=	=	PUNCT
american_scientific_journal-3507	188	8	𝐶𝐶1	𝐶𝐶1	PROPN
american_scientific_journal-3507	188	9	𝑗𝑗	𝑗𝑗	NOUN
american_scientific_journal-3507	188	10	…	…	PUNCT
american_scientific_journal-3507	188	11	……	……	NOUN
american_scientific_journal-3507	188	12	……	……	NOUN
american_scientific_journal-3507	188	13	……	……	NOUN
american_scientific_journal-3507	188	14	……	……	NOUN
american_scientific_journal-3507	188	15	……	……	NOUN
american_scientific_journal-3507	188	16	……	……	NOUN
american_scientific_journal-3507	188	17	(	(	PUNCT
american_scientific_journal-3507	188	18	2.56	2.56	NUM
american_scientific_journal-3507	188	19	)	)	PUNCT
american_scientific_journal-3507	188	20	applying	apply	VERB
american_scientific_journal-3507	188	21	the	the	DET
american_scientific_journal-3507	188	22	boundary	boundary	ADJ
american_scientific_journal-3507	188	23	condition	condition	NOUN
american_scientific_journal-3507	188	24	𝐶𝐶(0	𝐶𝐶(0	PROPN
american_scientific_journal-3507	188	25	,	,	PUNCT
american_scientific_journal-3507	188	26	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-3507	188	27	)	)	PUNCT
american_scientific_journal-3507	188	28	=	=	SYM
american_scientific_journal-3507	188	29	𝐶𝐶0	𝐶𝐶0	PROPN
american_scientific_journal-3507	188	30	,	,	PUNCT
american_scientific_journal-3507	188	31	𝑧𝑧	𝑧𝑧	NOUN
american_scientific_journal-3507	188	32	=	=	NOUN
american_scientific_journal-3507	188	33	0	0	NUM
american_scientific_journal-3507	188	34	,	,	PUNCT
american_scientific_journal-3507	188	35	𝑡𝑡	𝑡𝑡	ADP
american_scientific_journal-3507	188	36	>	>	X
american_scientific_journal-3507	188	37	0	0	NUM
american_scientific_journal-3507	188	38	equation	equation	NOUN
american_scientific_journal-3507	188	39	(	(	PUNCT
american_scientific_journal-3507	188	40	)	)	PUNCT
american_scientific_journal-3507	188	41	becomes	become	VERB
american_scientific_journal-3507	188	42	(	(	PUNCT
american_scientific_journal-3507	188	43	1	1	NUM
american_scientific_journal-3507	188	44	+	+	NUM
american_scientific_journal-3507	188	45	2𝐴𝐴)𝐶𝐶1	2𝐴𝐴)𝐶𝐶1	NOUN
american_scientific_journal-3507	188	46	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	189	1	+	+	CCONJ
american_scientific_journal-3507	189	2	(	(	PUNCT
american_scientific_journal-3507	189	3	𝑞𝑞	𝑞𝑞	INTJ
american_scientific_journal-3507	189	4	−	−	PROPN
american_scientific_journal-3507	189	5	𝐴𝐴)𝐶𝐶2	𝐴𝐴)𝐶𝐶2	ADV
american_scientific_journal-3507	189	6	𝑗𝑗+1	𝑗𝑗+1	NOUN
american_scientific_journal-3507	189	7	=	=	SYM
american_scientific_journal-3507	189	8	𝐶𝐶1	𝐶𝐶1	PROPN
american_scientific_journal-3507	189	9	𝑗𝑗	𝑗𝑗	NOUN
american_scientific_journal-3507	190	1	+	+	CCONJ
american_scientific_journal-3507	190	2	(	(	PUNCT
american_scientific_journal-3507	190	3	𝐴𝐴	𝐴𝐴	PROPN
american_scientific_journal-3507	190	4	+	+	CCONJ
american_scientific_journal-3507	190	5	𝑞𝑞)𝐶𝐶0	𝑞𝑞)𝐶𝐶0	PROPN
american_scientific_journal-3507	190	6	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	190	7	…	…	PUNCT
american_scientific_journal-3507	190	8	……	……	NOUN
american_scientific_journal-3507	190	9	……	……	NOUN
american_scientific_journal-3507	190	10	……	……	NOUN
american_scientific_journal-3507	190	11	……	……	NOUN
american_scientific_journal-3507	190	12	……	……	NOUN
american_scientific_journal-3507	190	13	……	……	NOUN
american_scientific_journal-3507	190	14	..	..	PUNCT
american_scientific_journal-3507	190	15	(	(	PUNCT
american_scientific_journal-3507	190	16	2.57	2.57	NUM
american_scientific_journal-3507	190	17	)	)	PUNCT
american_scientific_journal-3507	190	18	when	when	SCONJ
american_scientific_journal-3507	190	19	𝑖𝑖	𝑖𝑖	ADP
american_scientific_journal-3507	190	20	=	=	SYM
american_scientific_journal-3507	190	21	2	2	NUM
american_scientific_journal-3507	190	22	→	→	SYM
american_scientific_journal-3507	190	23	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-3507	190	24	−	−	PROPN
american_scientific_journal-3507	190	25	1	1	NUM
american_scientific_journal-3507	190	26	,	,	PUNCT
american_scientific_journal-3507	190	27	equation	equation	NOUN
american_scientific_journal-3507	190	28	(	(	PUNCT
american_scientific_journal-3507	190	29	3.71	3.71	NUM
american_scientific_journal-3507	190	30	)	)	PUNCT
american_scientific_journal-3507	190	31	remains	remain	VERB
american_scientific_journal-3507	190	32	:	:	PUNCT
american_scientific_journal-3507	190	33	−(𝐴𝐴	−(𝐴𝐴	PROPN
american_scientific_journal-3507	190	34	+	+	CCONJ
american_scientific_journal-3507	190	35	𝑞𝑞)𝐶𝐶𝑖𝑖−1	𝑞𝑞)𝐶𝐶𝑖𝑖−1	NOUN
american_scientific_journal-3507	190	36	𝑗𝑗+1	𝑗𝑗+1	NOUN
american_scientific_journal-3507	190	37	+	+	CCONJ
american_scientific_journal-3507	190	38	(	(	PUNCT
american_scientific_journal-3507	190	39	1	1	NUM
american_scientific_journal-3507	190	40	+	+	NUM
american_scientific_journal-3507	190	41	2𝐴𝐴)𝐶𝐶𝑖𝑖	2𝐴𝐴)𝐶𝐶𝑖𝑖	NUM
american_scientific_journal-3507	190	42	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	191	1	+	+	CCONJ
american_scientific_journal-3507	191	2	(	(	PUNCT
american_scientific_journal-3507	191	3	𝑞𝑞	𝑞𝑞	X
american_scientific_journal-3507	191	4	−	−	PROPN
american_scientific_journal-3507	191	5	𝐴𝐴)𝐶𝐶𝑖𝑖+1	𝐴𝐴)𝐶𝐶𝑖𝑖+1	NUM
american_scientific_journal-3507	191	6	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	191	7	=	=	PUNCT
american_scientific_journal-3507	191	8	𝐶𝐶𝑖𝑖	𝐶𝐶𝑖𝑖	PROPN
american_scientific_journal-3507	191	9	𝑗𝑗	𝑗𝑗	ADP
american_scientific_journal-3507	191	10	…	…	PUNCT
american_scientific_journal-3507	191	11	…	…	PUNCT
american_scientific_journal-3507	191	12	…	…	PUNCT
american_scientific_journal-3507	191	13	…	…	PUNCT
american_scientific_journal-3507	191	14	…	…	PUNCT
american_scientific_journal-3507	191	15	…	…	PUNCT
american_scientific_journal-3507	191	16	……	……	NOUN
american_scientific_journal-3507	191	17	……	……	NOUN
american_scientific_journal-3507	191	18	……	……	NOUN
american_scientific_journal-3507	191	19	..	..	PUNCT
american_scientific_journal-3507	191	20	(	(	PUNCT
american_scientific_journal-3507	191	21	2.58	2.58	NUM
american_scientific_journal-3507	191	22	)	)	PUNCT
american_scientific_journal-3507	191	23	n	n	NOUN
american_scientific_journal-3507	191	24	=	=	NOUN
american_scientific_journal-3507	191	25	number	number	NOUN
american_scientific_journal-3507	191	26	of	of	ADP
american_scientific_journal-3507	191	27	grid	grid	NOUN
american_scientific_journal-3507	191	28	points	point	NOUN
american_scientific_journal-3507	191	29	when	when	SCONJ
american_scientific_journal-3507	191	30	i	i	PRON
american_scientific_journal-3507	191	31	=	=	VERB
american_scientific_journal-3507	191	32	n	n	PROPN
american_scientific_journal-3507	191	33	−(𝐴𝐴	−(𝐴𝐴	PROPN
american_scientific_journal-3507	191	34	+	+	CCONJ
american_scientific_journal-3507	191	35	𝑞𝑞)𝐶𝐶𝑛𝑛−1	𝑞𝑞)𝐶𝐶𝑛𝑛−1	PROPN
american_scientific_journal-3507	191	36	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	191	37	+	+	CCONJ
american_scientific_journal-3507	191	38	(	(	PUNCT
american_scientific_journal-3507	191	39	1	1	NUM
american_scientific_journal-3507	191	40	+	+	NUM
american_scientific_journal-3507	191	41	2𝐴𝐴)𝐶𝐶𝑛𝑛	2𝐴𝐴)𝐶𝐶𝑛𝑛	NUM
american_scientific_journal-3507	191	42	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	192	1	+	+	CCONJ
american_scientific_journal-3507	192	2	(	(	PUNCT
american_scientific_journal-3507	192	3	𝑞𝑞	𝑞𝑞	X
american_scientific_journal-3507	192	4	−	−	PROPN
american_scientific_journal-3507	192	5	𝐴𝐴)𝐶𝐶𝑛𝑛+1	𝐴𝐴)𝐶𝐶𝑛𝑛+1	NUM
american_scientific_journal-3507	192	6	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	192	7	=	=	SYM
american_scientific_journal-3507	192	8	𝐶𝐶𝑛𝑛	𝐶𝐶𝑛𝑛	PROPN
american_scientific_journal-3507	192	9	𝑗𝑗	𝑗𝑗	NOUN
american_scientific_journal-3507	192	10	…	…	PUNCT
american_scientific_journal-3507	192	11	…	…	PUNCT
american_scientific_journal-3507	192	12	…	…	PUNCT
american_scientific_journal-3507	192	13	…	…	PUNCT
american_scientific_journal-3507	192	14	…	…	PUNCT
american_scientific_journal-3507	192	15	……	……	NOUN
american_scientific_journal-3507	192	16	……	……	NOUN
american_scientific_journal-3507	192	17	……	……	NOUN
american_scientific_journal-3507	192	18	......	......	PUNCT
american_scientific_journal-3507	192	19	(	(	PUNCT
american_scientific_journal-3507	192	20	2.59	2.59	NUM
american_scientific_journal-3507	192	21	)	)	PUNCT
american_scientific_journal-3507	192	22	applying	apply	VERB
american_scientific_journal-3507	192	23	the	the	DET
american_scientific_journal-3507	192	24	boundary	boundary	ADJ
american_scientific_journal-3507	192	25	condition	condition	NOUN
american_scientific_journal-3507	192	26	𝐶𝐶(∞	𝐶𝐶(∞	PROPN
american_scientific_journal-3507	192	27	,	,	PUNCT
american_scientific_journal-3507	192	28	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-3507	192	29	)	)	PUNCT
american_scientific_journal-3507	192	30	=	=	SYM
american_scientific_journal-3507	192	31	0	0	NUM
american_scientific_journal-3507	192	32	,	,	PUNCT
american_scientific_journal-3507	192	33	𝑧𝑧	𝑧𝑧	ADP
american_scientific_journal-3507	192	34	→	→	SYM
american_scientific_journal-3507	192	35	∞	∞	PROPN
american_scientific_journal-3507	192	36	,	,	PUNCT
american_scientific_journal-3507	192	37	𝑡𝑡	𝑡𝑡	PROPN
american_scientific_journal-3507	192	38	>	>	X
american_scientific_journal-3507	192	39	0	0	NUM
american_scientific_journal-3507	192	40	equation	equation	NOUN
american_scientific_journal-3507	192	41	(	(	PUNCT
american_scientific_journal-3507	192	42	)	)	PUNCT
american_scientific_journal-3507	192	43	becomes	become	VERB
american_scientific_journal-3507	192	44	−(𝐴𝐴	−(𝐴𝐴	PROPN
american_scientific_journal-3507	192	45	+	+	CCONJ
american_scientific_journal-3507	192	46	𝑞𝑞)𝐶𝐶𝑛𝑛−1	𝑞𝑞)𝐶𝐶𝑛𝑛−1	NOUN
american_scientific_journal-3507	192	47	𝑗𝑗+1	𝑗𝑗+1	NUM
american_scientific_journal-3507	193	1	+	+	CCONJ
american_scientific_journal-3507	193	2	(	(	PUNCT
american_scientific_journal-3507	193	3	1	1	NUM
american_scientific_journal-3507	193	4	+	+	NUM
american_scientific_journal-3507	193	5	2𝐴𝐴)𝐶𝐶𝑛𝑛	2𝐴𝐴)𝐶𝐶𝑛𝑛	NUM
american_scientific_journal-3507	193	6	𝑗𝑗+1	𝑗𝑗+1	X
american_scientific_journal-3507	193	7	=	=	PUNCT
american_scientific_journal-3507	193	8	𝐶𝐶𝑛𝑛	𝐶𝐶𝑛𝑛	PROPN
american_scientific_journal-3507	193	9	𝑗𝑗	𝑗𝑗	NOUN
american_scientific_journal-3507	193	10	…	…	PUNCT
american_scientific_journal-3507	193	11	…	…	PUNCT
american_scientific_journal-3507	193	12	…	…	PUNCT
american_scientific_journal-3507	193	13	…	…	PUNCT
american_scientific_journal-3507	193	14	…	…	PUNCT
american_scientific_journal-3507	193	15	…	…	PUNCT
american_scientific_journal-3507	193	16	…	…	PUNCT
american_scientific_journal-3507	193	17	…	…	PUNCT
american_scientific_journal-3507	193	18	……	……	NOUN
american_scientific_journal-3507	193	19	……	……	NOUN
american_scientific_journal-3507	193	20	……	……	NOUN
american_scientific_journal-3507	193	21	……	……	NOUN
american_scientific_journal-3507	193	22	……	……	NOUN
american_scientific_journal-3507	193	23	..	..	PUNCT
american_scientific_journal-3507	193	24	(	(	PUNCT
american_scientific_journal-3507	193	25	2.60	2.60	NUM
american_scientific_journal-3507	193	26	)	)	PUNCT
american_scientific_journal-3507	193	27	american	american	ADJ
american_scientific_journal-3507	193	28	scientific	scientific	ADJ
american_scientific_journal-3507	193	29	research	research	NOUN
american_scientific_journal-3507	193	30	journal	journal	NOUN
american_scientific_journal-3507	193	31	for	for	ADP
american_scientific_journal-3507	193	32	engineering	engineering	NOUN
american_scientific_journal-3507	193	33	,	,	PUNCT
american_scientific_journal-3507	193	34	technology	technology	NOUN
american_scientific_journal-3507	193	35	,	,	PUNCT
american_scientific_journal-3507	193	36	and	and	CCONJ
american_scientific_journal-3507	193	37	sciences	science	NOUN
american_scientific_journal-3507	193	38	(	(	PUNCT
american_scientific_journal-3507	193	39	asrjets	asrjet	NOUN
american_scientific_journal-3507	193	40	)	)	PUNCT
american_scientific_journal-3507	193	41	(	(	PUNCT
american_scientific_journal-3507	193	42	2017	2017	NUM
american_scientific_journal-3507	193	43	)	)	PUNCT
american_scientific_journal-3507	193	44	volume	volume	NOUN
american_scientific_journal-3507	193	45	38	38	NUM
american_scientific_journal-3507	193	46	,	,	PUNCT
american_scientific_journal-3507	193	47	no	no	DET
american_scientific_journal-3507	193	48	1	1	NUM
american_scientific_journal-3507	193	49	,	,	PUNCT
american_scientific_journal-3507	193	50	pp	pp	ADV
american_scientific_journal-3507	193	51	235	235	NUM
american_scientific_journal-3507	193	52	-	-	SYM
american_scientific_journal-3507	193	53	249	249	NUM
american_scientific_journal-3507	193	54	246	246	NUM
american_scientific_journal-3507	193	55	assuming	assume	VERB
american_scientific_journal-3507	193	56	𝐴𝐴1	𝐴𝐴1	PROPN
american_scientific_journal-3507	193	57	=	=	SYM
american_scientific_journal-3507	193	58	𝐴𝐴	𝐴𝐴	PROPN
american_scientific_journal-3507	193	59	+	+	CCONJ
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american_scientific_journal-3507	194	1	+	+	NUM
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american_scientific_journal-3507	194	4	=	=	NOUN
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american_scientific_journal-3507	194	6	−	−	PROPN
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american_scientific_journal-3507	194	33	3	3	NUM
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american_scientific_journal-3507	204	167	249	249	NUM
american_scientific_journal-3507	204	168	247	247	NUM
american_scientific_journal-3507	204	169	figure	figure	NOUN
american_scientific_journal-3507	204	170	3.3	3.3	NUM
american_scientific_journal-3507	204	171	:	:	PUNCT
american_scientific_journal-3507	204	172	analytical	analytical	ADJ
american_scientific_journal-3507	204	173	simulation	simulation	NOUN
american_scientific_journal-3507	204	174	of	of	ADP
american_scientific_journal-3507	204	175	concentration	concentration	NOUN
american_scientific_journal-3507	204	176	,	,	PUNCT
american_scientific_journal-3507	204	177	time	time	NOUN
american_scientific_journal-3507	204	178	and	and	CCONJ
american_scientific_journal-3507	204	179	depth	depth	NOUN
american_scientific_journal-3507	204	180	figure	figure	NOUN
american_scientific_journal-3507	204	181	3.4	3.4	NUM
american_scientific_journal-3507	204	182	:	:	PUNCT
american_scientific_journal-3507	204	183	3d	3d	PROPN
american_scientific_journal-3507	204	184	numerical	numerical	PROPN
american_scientific_journal-3507	204	185	simulation	simulation	PROPN
american_scientific_journal-3507	204	186	of	of	ADP
american_scientific_journal-3507	204	187	concentration	concentration	NOUN
american_scientific_journal-3507	204	188	,	,	PUNCT
american_scientific_journal-3507	204	189	time	time	NOUN
american_scientific_journal-3507	204	190	and	and	CCONJ
american_scientific_journal-3507	204	191	depth	depth	NOUN
american_scientific_journal-3507	204	192	figure	figure	NOUN
american_scientific_journal-3507	204	193	3.5	3.5	NUM
american_scientific_journal-3507	204	194	:	:	PUNCT
american_scientific_journal-3507	204	195	plot	plot	NOUN
american_scientific_journal-3507	204	196	of	of	ADP
american_scientific_journal-3507	204	197	error	error	NOUN
american_scientific_journal-3507	204	198	in	in	ADP
american_scientific_journal-3507	204	199	temporal	temporal	ADJ
american_scientific_journal-3507	204	200	numerical	numerical	ADJ
american_scientific_journal-3507	204	201	model	model	NOUN
american_scientific_journal-3507	204	202	against	against	ADP
american_scientific_journal-3507	204	203	time	time	NOUN
american_scientific_journal-3507	204	204	figure	figure	NOUN
american_scientific_journal-3507	204	205	3.5	3.5	NUM
american_scientific_journal-3507	204	206	:	:	PUNCT
american_scientific_journal-3507	204	207	plot	plot	NOUN
american_scientific_journal-3507	204	208	of	of	ADP
american_scientific_journal-3507	204	209	error	error	NOUN
american_scientific_journal-3507	204	210	in	in	ADP
american_scientific_journal-3507	204	211	spatial	spatial	ADJ
american_scientific_journal-3507	204	212	numerical	numerical	ADJ
american_scientific_journal-3507	204	213	model	model	NOUN
american_scientific_journal-3507	204	214	against	against	ADP
american_scientific_journal-3507	204	215	depth	depth	NOUN
american_scientific_journal-3507	204	216	0	0	NUM
american_scientific_journal-3507	204	217	20	20	NUM
american_scientific_journal-3507	204	218	40	40	NUM
american_scientific_journal-3507	204	219	60	60	NUM
american_scientific_journal-3507	204	220	80	80	NUM
american_scientific_journal-3507	204	221	100	100	NUM
american_scientific_journal-3507	204	222	120	120	NUM
american_scientific_journal-3507	204	223	0	0	NUM
american_scientific_journal-3507	204	224	10	10	NUM
american_scientific_journal-3507	204	225	20	20	NUM
american_scientific_journal-3507	204	226	30	30	NUM
american_scientific_journal-3507	204	227	40	40	NUM
american_scientific_journal-3507	204	228	50	50	NUM
american_scientific_journal-3507	204	229	0	0	NUM
american_scientific_journal-3507	204	230	2	2	NUM
american_scientific_journal-3507	204	231	4	4	NUM
american_scientific_journal-3507	204	232	6	6	NUM
american_scientific_journal-3507	204	233	8	8	NUM
american_scientific_journal-3507	204	234	time	time	NOUN
american_scientific_journal-3507	204	235	(	(	PUNCT
american_scientific_journal-3507	204	236	hrs	hrs	NOUN
american_scientific_journal-3507	204	237	)	)	PUNCT
american_scientific_journal-3507	204	238	depth	depth	NOUN
american_scientific_journal-3507	204	239	(	(	PUNCT
american_scientific_journal-3507	204	240	cm	cm	NOUN
american_scientific_journal-3507	204	241	)	)	PUNCT
american_scientific_journal-3507	204	242	co	co	PROPN
american_scientific_journal-3507	204	243	nc	nc	PROPN
american_scientific_journal-3507	204	244	en	en	PROPN
american_scientific_journal-3507	204	245	tra	tra	PROPN
american_scientific_journal-3507	204	246	tio	tio	PROPN
american_scientific_journal-3507	204	247	n	n	PROPN
american_scientific_journal-3507	204	248	(	(	PUNCT
american_scientific_journal-3507	204	249	g	g	PROPN
american_scientific_journal-3507	204	250	cm	cm	PROPN
american_scientific_journal-3507	204	251	3	3	NUM
american_scientific_journal-3507	204	252	)	)	PUNCT
american_scientific_journal-3507	204	253	0	0	NUM
american_scientific_journal-3507	204	254	1	1	NUM
american_scientific_journal-3507	204	255	2	2	NUM
american_scientific_journal-3507	204	256	3	3	NUM
american_scientific_journal-3507	204	257	4	4	NUM
american_scientific_journal-3507	204	258	5	5	NUM
american_scientific_journal-3507	204	259	6	6	NUM
american_scientific_journal-3507	204	260	7	7	NUM
american_scientific_journal-3507	204	261	0	0	NUM
american_scientific_journal-3507	204	262	20	20	NUM
american_scientific_journal-3507	204	263	40	40	NUM
american_scientific_journal-3507	204	264	60	60	NUM
american_scientific_journal-3507	204	265	80	80	NUM
american_scientific_journal-3507	204	266	100	100	NUM
american_scientific_journal-3507	204	267	120	120	NUM
american_scientific_journal-3507	204	268	0	0	NUM
american_scientific_journal-3507	204	269	10	10	NUM
american_scientific_journal-3507	204	270	20	20	NUM
american_scientific_journal-3507	204	271	30	30	NUM
american_scientific_journal-3507	204	272	40	40	NUM
american_scientific_journal-3507	204	273	50	50	NUM
american_scientific_journal-3507	204	274	0	0	NUM
american_scientific_journal-3507	204	275	1	1	NUM
american_scientific_journal-3507	204	276	2	2	NUM
american_scientific_journal-3507	204	277	3	3	NUM
american_scientific_journal-3507	204	278	4	4	NUM
american_scientific_journal-3507	204	279	5	5	NUM
american_scientific_journal-3507	204	280	6	6	NUM
american_scientific_journal-3507	204	281	7	7	NUM
american_scientific_journal-3507	204	282	8	8	NUM
american_scientific_journal-3507	204	283	time	time	NOUN
american_scientific_journal-3507	204	284	(	(	PUNCT
american_scientific_journal-3507	204	285	hrs	hrs	NOUN
american_scientific_journal-3507	204	286	)	)	PUNCT
american_scientific_journal-3507	204	287	depth	depth	NOUN
american_scientific_journal-3507	204	288	(	(	PUNCT
american_scientific_journal-3507	204	289	cm	cm	NOUN
american_scientific_journal-3507	204	290	)	)	PUNCT
american_scientific_journal-3507	204	291	co	co	PROPN
american_scientific_journal-3507	204	292	nc	nc	PROPN
american_scientific_journal-3507	204	293	en	en	PROPN
american_scientific_journal-3507	204	294	tra	tra	PROPN
american_scientific_journal-3507	204	295	tio	tio	PROPN
american_scientific_journal-3507	204	296	n	n	PROPN
american_scientific_journal-3507	204	297	(	(	PUNCT
american_scientific_journal-3507	204	298	gc	gc	PROPN
american_scientific_journal-3507	204	299	m3	m3	PROPN
american_scientific_journal-3507	204	300	)	)	PUNCT
american_scientific_journal-3507	204	301	0	0	NUM
american_scientific_journal-3507	205	1	1	1	NUM
american_scientific_journal-3507	205	2	2	2	NUM
american_scientific_journal-3507	205	3	3	3	NUM
american_scientific_journal-3507	205	4	4	4	NUM
american_scientific_journal-3507	205	5	5	5	NUM
american_scientific_journal-3507	205	6	6	6	NUM
american_scientific_journal-3507	205	7	7	7	NUM
american_scientific_journal-3507	205	8	0	0	NUM
american_scientific_journal-3507	205	9	5	5	NUM
american_scientific_journal-3507	205	10	10	10	NUM
american_scientific_journal-3507	205	11	15	15	NUM
american_scientific_journal-3507	205	12	20	20	NUM
american_scientific_journal-3507	205	13	25	25	NUM
american_scientific_journal-3507	205	14	30	30	NUM
american_scientific_journal-3507	205	15	35	35	NUM
american_scientific_journal-3507	205	16	40	40	NUM
american_scientific_journal-3507	205	17	45	45	NUM
american_scientific_journal-3507	205	18	50	50	NUM
american_scientific_journal-3507	205	19	0	0	NUM
american_scientific_journal-3507	205	20	0.1	0.1	NUM
american_scientific_journal-3507	205	21	0.2	0.2	NUM
american_scientific_journal-3507	205	22	0.3	0.3	NUM
american_scientific_journal-3507	205	23	0.4	0.4	NUM
american_scientific_journal-3507	205	24	0.5	0.5	NUM
american_scientific_journal-3507	205	25	0.6	0.6	NUM
american_scientific_journal-3507	205	26	0.7	0.7	NUM
american_scientific_journal-3507	205	27	0.8	0.8	NUM
american_scientific_journal-3507	205	28	0.9	0.9	NUM
american_scientific_journal-3507	205	29	time	time	NOUN
american_scientific_journal-3507	205	30	,	,	PUNCT
american_scientific_journal-3507	205	31	hrs	hrs	NOUN
american_scientific_journal-3507	205	32	erro	erro	NOUN
american_scientific_journal-3507	205	33	r	r	NOUN
american_scientific_journal-3507	205	34	0	0	NUM
american_scientific_journal-3507	205	35	10	10	NUM
american_scientific_journal-3507	205	36	20	20	NUM
american_scientific_journal-3507	205	37	30	30	NUM
american_scientific_journal-3507	205	38	40	40	NUM
american_scientific_journal-3507	205	39	50	50	NUM
american_scientific_journal-3507	205	40	60	60	NUM
american_scientific_journal-3507	205	41	70	70	NUM
american_scientific_journal-3507	205	42	80	80	NUM
american_scientific_journal-3507	205	43	90	90	NUM
american_scientific_journal-3507	205	44	100	100	NUM
american_scientific_journal-3507	205	45	0	0	NUM
american_scientific_journal-3507	205	46	0.1	0.1	NUM
american_scientific_journal-3507	205	47	0.2	0.2	NUM
american_scientific_journal-3507	205	48	0.3	0.3	NUM
american_scientific_journal-3507	205	49	0.4	0.4	NUM
american_scientific_journal-3507	205	50	0.5	0.5	NUM
american_scientific_journal-3507	205	51	0.6	0.6	NUM
american_scientific_journal-3507	205	52	0.7	0.7	NUM
american_scientific_journal-3507	205	53	depth(z),cm	depth(z),cm	NOUN
american_scientific_journal-3507	205	54	error	error	NOUN
american_scientific_journal-3507	205	55	american	american	PROPN
american_scientific_journal-3507	205	56	scientific	scientific	ADJ
american_scientific_journal-3507	205	57	research	research	NOUN
american_scientific_journal-3507	205	58	journal	journal	NOUN
american_scientific_journal-3507	205	59	for	for	ADP
american_scientific_journal-3507	205	60	engineering	engineering	NOUN
american_scientific_journal-3507	205	61	,	,	PUNCT
american_scientific_journal-3507	205	62	technology	technology	NOUN
american_scientific_journal-3507	205	63	,	,	PUNCT
american_scientific_journal-3507	205	64	and	and	CCONJ
american_scientific_journal-3507	205	65	sciences	science	NOUN
american_scientific_journal-3507	205	66	(	(	PUNCT
american_scientific_journal-3507	205	67	asrjets	asrjet	NOUN
american_scientific_journal-3507	205	68	)	)	PUNCT
american_scientific_journal-3507	205	69	(	(	PUNCT
american_scientific_journal-3507	205	70	2017	2017	NUM
american_scientific_journal-3507	205	71	)	)	PUNCT
american_scientific_journal-3507	205	72	volume	volume	NOUN
american_scientific_journal-3507	205	73	38	38	NUM
american_scientific_journal-3507	205	74	,	,	PUNCT
american_scientific_journal-3507	205	75	no	no	DET
american_scientific_journal-3507	205	76	1	1	NUM
american_scientific_journal-3507	205	77	,	,	PUNCT
american_scientific_journal-3507	205	78	pp	pp	ADV
american_scientific_journal-3507	205	79	235	235	NUM
american_scientific_journal-3507	205	80	-	-	SYM
american_scientific_journal-3507	205	81	249	249	NUM
american_scientific_journal-3507	205	82	248	248	NUM
american_scientific_journal-3507	205	83	figure	figure	NOUN
american_scientific_journal-3507	205	84	3.1	3.1	NUM
american_scientific_journal-3507	205	85	and	and	CCONJ
american_scientific_journal-3507	205	86	3.2	3.2	NUM
american_scientific_journal-3507	205	87	compare	compare	VERB
american_scientific_journal-3507	205	88	the	the	DET
american_scientific_journal-3507	205	89	analytical	analytical	ADJ
american_scientific_journal-3507	205	90	and	and	CCONJ
american_scientific_journal-3507	205	91	numerical	numerical	PROPN
american_scientific_journal-3507	205	92	simulation	simulation	NOUN
american_scientific_journal-3507	205	93	of	of	ADP
american_scientific_journal-3507	205	94	nitrate	nitrate	NOUN
american_scientific_journal-3507	205	95	transport	transport	NOUN
american_scientific_journal-3507	205	96	in	in	ADP
american_scientific_journal-3507	205	97	soil	soil	NOUN
american_scientific_journal-3507	205	98	with	with	ADP
american_scientific_journal-3507	205	99	respect	respect	NOUN
american_scientific_journal-3507	205	100	to	to	ADP
american_scientific_journal-3507	205	101	depth	depth	NOUN
american_scientific_journal-3507	205	102	and	and	CCONJ
american_scientific_journal-3507	205	103	time	time	NOUN
american_scientific_journal-3507	205	104	respectively	respectively	ADV
american_scientific_journal-3507	205	105	.	.	PUNCT
american_scientific_journal-3507	206	1	figure	figure	VERB
american_scientific_journal-3507	206	2	3.3	3.3	NUM
american_scientific_journal-3507	206	3	and	and	CCONJ
american_scientific_journal-3507	206	4	figure	figure	VERB
american_scientific_journal-3507	206	5	3.4	3.4	NUM
american_scientific_journal-3507	206	6	show	show	NOUN
american_scientific_journal-3507	206	7	three	three	NUM
american_scientific_journal-3507	206	8	dimensional	dimensional	ADJ
american_scientific_journal-3507	206	9	analytical	analytical	ADJ
american_scientific_journal-3507	206	10	and	and	CCONJ
american_scientific_journal-3507	206	11	numerical	numerical	PROPN
american_scientific_journal-3507	206	12	simulation	simulation	NOUN
american_scientific_journal-3507	206	13	of	of	ADP
american_scientific_journal-3507	206	14	nitrate	nitrate	NOUN
american_scientific_journal-3507	206	15	transport	transport	NOUN
american_scientific_journal-3507	206	16	with	with	ADP
american_scientific_journal-3507	206	17	respect	respect	NOUN
american_scientific_journal-3507	206	18	to	to	ADP
american_scientific_journal-3507	206	19	both	both	DET
american_scientific_journal-3507	206	20	depth	depth	NOUN
american_scientific_journal-3507	206	21	and	and	CCONJ
american_scientific_journal-3507	206	22	time	time	NOUN
american_scientific_journal-3507	206	23	respectively	respectively	ADV
american_scientific_journal-3507	206	24	.	.	PUNCT
american_scientific_journal-3507	207	1	figure	figure	VERB
american_scientific_journal-3507	207	2	3.5	3.5	NUM
american_scientific_journal-3507	207	3	and	and	CCONJ
american_scientific_journal-3507	207	4	3.6	3.6	NUM
american_scientific_journal-3507	207	5	depict	depict	NOUN
american_scientific_journal-3507	207	6	the	the	DET
american_scientific_journal-3507	207	7	error	error	NOUN
american_scientific_journal-3507	207	8	associated	associate	VERB
american_scientific_journal-3507	207	9	with	with	ADP
american_scientific_journal-3507	207	10	the	the	DET
american_scientific_journal-3507	207	11	numerical	numerical	PROPN
american_scientific_journal-3507	207	12	simulation	simulation	NOUN
american_scientific_journal-3507	207	13	with	with	ADP
american_scientific_journal-3507	207	14	respect	respect	NOUN
american_scientific_journal-3507	207	15	to	to	ADP
american_scientific_journal-3507	207	16	time	time	NOUN
american_scientific_journal-3507	207	17	and	and	CCONJ
american_scientific_journal-3507	207	18	depth	depth	NOUN
american_scientific_journal-3507	207	19	respectively	respectively	ADV
american_scientific_journal-3507	207	20	.	.	PUNCT
american_scientific_journal-3507	208	1	the	the	DET
american_scientific_journal-3507	208	2	simulations	simulation	NOUN
american_scientific_journal-3507	208	3	show	show	VERB
american_scientific_journal-3507	208	4	that	that	SCONJ
american_scientific_journal-3507	208	5	although	although	SCONJ
american_scientific_journal-3507	208	6	there	there	PRON
american_scientific_journal-3507	208	7	are	be	VERB
american_scientific_journal-3507	208	8	errors	error	NOUN
american_scientific_journal-3507	208	9	associated	associate	VERB
american_scientific_journal-3507	208	10	the	the	DET
american_scientific_journal-3507	208	11	finite	finite	ADJ
american_scientific_journal-3507	208	12	difference	difference	NOUN
american_scientific_journal-3507	208	13	numerical	numerical	PROPN
american_scientific_journal-3507	208	14	method	method	NOUN
american_scientific_journal-3507	208	15	,	,	PUNCT
american_scientific_journal-3507	208	16	its	its	PRON
american_scientific_journal-3507	208	17	results	result	NOUN
american_scientific_journal-3507	208	18	do	do	AUX
american_scientific_journal-3507	208	19	not	not	PART
american_scientific_journal-3507	208	20	deviate	deviate	VERB
american_scientific_journal-3507	208	21	sharply	sharply	ADV
american_scientific_journal-3507	208	22	from	from	ADP
american_scientific_journal-3507	208	23	the	the	DET
american_scientific_journal-3507	208	24	laplace	laplace	NOUN
american_scientific_journal-3507	208	25	transform	transform	VERB
american_scientific_journal-3507	208	26	analytical	analytical	ADJ
american_scientific_journal-3507	208	27	simulations	simulation	NOUN
american_scientific_journal-3507	208	28	results	result	NOUN
american_scientific_journal-3507	208	29	.	.	PUNCT
american_scientific_journal-3507	209	1	the	the	DET
american_scientific_journal-3507	209	2	errors	error	NOUN
american_scientific_journal-3507	209	3	in	in	ADP
american_scientific_journal-3507	209	4	the	the	DET
american_scientific_journal-3507	209	5	finite	finite	ADJ
american_scientific_journal-3507	209	6	difference	difference	NOUN
american_scientific_journal-3507	209	7	simulations	simulation	NOUN
american_scientific_journal-3507	209	8	were	be	AUX
american_scientific_journal-3507	209	9	as	as	ADP
american_scientific_journal-3507	209	10	a	a	DET
american_scientific_journal-3507	209	11	result	result	NOUN
american_scientific_journal-3507	209	12	of	of	ADP
american_scientific_journal-3507	209	13	truncation	truncation	NOUN
american_scientific_journal-3507	209	14	of	of	ADP
american_scientific_journal-3507	209	15	taylor	taylor	PROPN
american_scientific_journal-3507	209	16	series	series	PROPN
american_scientific_journal-3507	209	17	and	and	CCONJ
american_scientific_journal-3507	209	18	therefore	therefore	ADV
american_scientific_journal-3507	209	19	the	the	DET
american_scientific_journal-3507	209	20	error	error	NOUN
american_scientific_journal-3507	209	21	is	be	AUX
american_scientific_journal-3507	209	22	mainly	mainly	ADV
american_scientific_journal-3507	209	23	truncation	truncation	NOUN
american_scientific_journal-3507	209	24	error	error	NOUN
american_scientific_journal-3507	209	25	.	.	PUNCT
american_scientific_journal-3507	210	1	the	the	DET
american_scientific_journal-3507	210	2	finite	finite	PROPN
american_scientific_journal-3507	210	3	difference	difference	PROPN
american_scientific_journal-3507	210	4	numerical	numerical	PROPN
american_scientific_journal-3507	210	5	simulation	simulation	PROPN
american_scientific_journal-3507	210	6	generated	generate	VERB
american_scientific_journal-3507	210	7	values	value	NOUN
american_scientific_journal-3507	210	8	which	which	PRON
american_scientific_journal-3507	210	9	were	be	AUX
american_scientific_journal-3507	210	10	greater	great	ADJ
american_scientific_journal-3507	210	11	than	than	ADP
american_scientific_journal-3507	210	12	the	the	DET
american_scientific_journal-3507	210	13	values	value	NOUN
american_scientific_journal-3507	210	14	generated	generate	VERB
american_scientific_journal-3507	210	15	by	by	ADP
american_scientific_journal-3507	210	16	the	the	DET
american_scientific_journal-3507	210	17	laplace	laplace	NOUN
american_scientific_journal-3507	210	18	transform	transform	VERB
american_scientific_journal-3507	210	19	analytical	analytical	ADJ
american_scientific_journal-3507	210	20	simulation	simulation	NOUN
american_scientific_journal-3507	210	21	.	.	PUNCT
american_scientific_journal-3507	211	1	the	the	DET
american_scientific_journal-3507	211	2	errors	error	NOUN
american_scientific_journal-3507	211	3	in	in	ADP
american_scientific_journal-3507	211	4	both	both	CCONJ
american_scientific_journal-3507	211	5	the	the	DET
american_scientific_journal-3507	211	6	temporal	temporal	ADJ
american_scientific_journal-3507	211	7	and	and	CCONJ
american_scientific_journal-3507	211	8	spatial	spatial	ADJ
american_scientific_journal-3507	211	9	simulations	simulation	NOUN
american_scientific_journal-3507	211	10	initially	initially	ADV
american_scientific_journal-3507	211	11	grew	grow	VERB
american_scientific_journal-3507	211	12	to	to	ADP
american_scientific_journal-3507	211	13	a	a	DET
american_scientific_journal-3507	211	14	point	point	NOUN
american_scientific_journal-3507	211	15	and	and	CCONJ
american_scientific_journal-3507	211	16	started	start	VERB
american_scientific_journal-3507	211	17	declining	decline	VERB
american_scientific_journal-3507	211	18	from	from	ADP
american_scientific_journal-3507	211	19	that	that	DET
american_scientific_journal-3507	211	20	point	point	NOUN
american_scientific_journal-3507	211	21	.	.	PUNCT
american_scientific_journal-3507	212	1	4	4	X
american_scientific_journal-3507	212	2	.	.	X
american_scientific_journal-3507	212	3	conclusion	conclusion	NOUN
american_scientific_journal-3507	212	4	modeling	modeling	NOUN
american_scientific_journal-3507	212	5	of	of	ADP
american_scientific_journal-3507	212	6	solute	solute	ADJ
american_scientific_journal-3507	212	7	transport	transport	NOUN
american_scientific_journal-3507	212	8	in	in	ADP
american_scientific_journal-3507	212	9	soil	soil	NOUN
american_scientific_journal-3507	212	10	is	be	AUX
american_scientific_journal-3507	212	11	a	a	DET
american_scientific_journal-3507	212	12	very	very	ADV
american_scientific_journal-3507	212	13	complex	complex	ADJ
american_scientific_journal-3507	212	14	process	process	NOUN
american_scientific_journal-3507	212	15	,	,	PUNCT
american_scientific_journal-3507	212	16	hence	hence	ADV
american_scientific_journal-3507	212	17	the	the	DET
american_scientific_journal-3507	212	18	analytical	analytical	ADJ
american_scientific_journal-3507	212	19	models	model	NOUN
american_scientific_journal-3507	212	20	can	can	AUX
american_scientific_journal-3507	212	21	not	not	PART
american_scientific_journal-3507	212	22	capture	capture	VERB
american_scientific_journal-3507	212	23	most	most	ADJ
american_scientific_journal-3507	212	24	of	of	ADP
american_scientific_journal-3507	212	25	the	the	DET
american_scientific_journal-3507	212	26	complexities	complexity	NOUN
american_scientific_journal-3507	212	27	of	of	ADP
american_scientific_journal-3507	212	28	such	such	ADJ
american_scientific_journal-3507	212	29	process	process	NOUN
american_scientific_journal-3507	212	30	.	.	PUNCT
american_scientific_journal-3507	213	1	analytical	analytical	ADJ
american_scientific_journal-3507	213	2	models	model	NOUN
american_scientific_journal-3507	213	3	can	can	AUX
american_scientific_journal-3507	213	4	only	only	ADV
american_scientific_journal-3507	213	5	describe	describe	VERB
american_scientific_journal-3507	213	6	simplified	simplified	ADJ
american_scientific_journal-3507	213	7	process	process	NOUN
american_scientific_journal-3507	213	8	which	which	PRON
american_scientific_journal-3507	213	9	is	be	AUX
american_scientific_journal-3507	213	10	far	far	ADV
american_scientific_journal-3507	213	11	from	from	ADP
american_scientific_journal-3507	213	12	what	what	PRON
american_scientific_journal-3507	213	13	pertains	pertain	NOUN
american_scientific_journal-3507	213	14	in	in	ADP
american_scientific_journal-3507	213	15	reality	reality	NOUN
american_scientific_journal-3507	213	16	.	.	PUNCT
american_scientific_journal-3507	214	1	numerical	numerical	ADJ
american_scientific_journal-3507	214	2	models	model	NOUN
american_scientific_journal-3507	214	3	are	be	AUX
american_scientific_journal-3507	214	4	able	able	ADJ
american_scientific_journal-3507	214	5	to	to	PART
american_scientific_journal-3507	214	6	capture	capture	VERB
american_scientific_journal-3507	214	7	most	most	ADJ
american_scientific_journal-3507	214	8	the	the	DET
american_scientific_journal-3507	214	9	complexities	complexity	NOUN
american_scientific_journal-3507	214	10	of	of	ADP
american_scientific_journal-3507	214	11	solute	solute	ADJ
american_scientific_journal-3507	214	12	transport	transport	NOUN
american_scientific_journal-3507	214	13	in	in	ADP
american_scientific_journal-3507	214	14	soil	soil	NOUN
american_scientific_journal-3507	214	15	hence	hence	ADV
american_scientific_journal-3507	214	16	it	it	PRON
american_scientific_journal-3507	214	17	is	be	AUX
american_scientific_journal-3507	214	18	very	very	ADV
american_scientific_journal-3507	214	19	close	close	ADJ
american_scientific_journal-3507	214	20	to	to	ADP
american_scientific_journal-3507	214	21	what	what	PRON
american_scientific_journal-3507	214	22	happens	happen	VERB
american_scientific_journal-3507	214	23	in	in	ADP
american_scientific_journal-3507	214	24	nature	nature	NOUN
american_scientific_journal-3507	214	25	.	.	PUNCT
american_scientific_journal-3507	215	1	however	however	ADV
american_scientific_journal-3507	215	2	,	,	PUNCT
american_scientific_journal-3507	215	3	numerical	numerical	ADJ
american_scientific_journal-3507	215	4	models	model	NOUN
american_scientific_journal-3507	215	5	unlike	unlike	ADP
american_scientific_journal-3507	215	6	analytical	analytical	ADJ
american_scientific_journal-3507	215	7	models	model	NOUN
american_scientific_journal-3507	215	8	provide	provide	VERB
american_scientific_journal-3507	215	9	approximate	approximate	ADJ
american_scientific_journal-3507	215	10	and	and	CCONJ
american_scientific_journal-3507	215	11	not	not	PART
american_scientific_journal-3507	215	12	exact	exact	ADJ
american_scientific_journal-3507	215	13	solutions	solution	NOUN
american_scientific_journal-3507	215	14	.	.	PUNCT
american_scientific_journal-3507	216	1	there	there	PRON
american_scientific_journal-3507	216	2	are	be	VERB
american_scientific_journal-3507	216	3	errors	error	NOUN
american_scientific_journal-3507	216	4	associated	associate	VERB
american_scientific_journal-3507	216	5	with	with	ADP
american_scientific_journal-3507	216	6	the	the	DET
american_scientific_journal-3507	216	7	numerical	numerical	ADJ
american_scientific_journal-3507	216	8	models	model	NOUN
american_scientific_journal-3507	216	9	.	.	PUNCT
american_scientific_journal-3507	217	1	a	a	DET
american_scientific_journal-3507	217	2	comparison	comparison	NOUN
american_scientific_journal-3507	217	3	between	between	ADP
american_scientific_journal-3507	217	4	laplace	laplace	NOUN
american_scientific_journal-3507	217	5	transform	transform	NOUN
american_scientific_journal-3507	217	6	model	model	NOUN
american_scientific_journal-3507	217	7	and	and	CCONJ
american_scientific_journal-3507	217	8	finite	finite	ADJ
american_scientific_journal-3507	217	9	difference	difference	NOUN
american_scientific_journal-3507	217	10	model	model	NOUN
american_scientific_journal-3507	217	11	for	for	ADP
american_scientific_journal-3507	217	12	nitrate	nitrate	NOUN
american_scientific_journal-3507	217	13	solute	solute	NOUN
american_scientific_journal-3507	217	14	transport	transport	NOUN
american_scientific_journal-3507	217	15	in	in	ADP
american_scientific_journal-3507	217	16	soil	soil	NOUN
american_scientific_journal-3507	217	17	showed	show	VERB
american_scientific_journal-3507	217	18	that	that	SCONJ
american_scientific_journal-3507	217	19	the	the	DET
american_scientific_journal-3507	217	20	finite	finite	ADJ
american_scientific_journal-3507	217	21	difference	difference	NOUN
american_scientific_journal-3507	217	22	model	model	NOUN
american_scientific_journal-3507	217	23	gave	give	VERB
american_scientific_journal-3507	217	24	a	a	DET
american_scientific_journal-3507	217	25	good	good	ADJ
american_scientific_journal-3507	217	26	approximation	approximation	NOUN
american_scientific_journal-3507	217	27	of	of	ADP
american_scientific_journal-3507	217	28	the	the	DET
american_scientific_journal-3507	217	29	laplace	laplace	NOUN
american_scientific_journal-3507	217	30	transform	transform	NOUN
american_scientific_journal-3507	217	31	model	model	NOUN
american_scientific_journal-3507	217	32	.	.	PUNCT
american_scientific_journal-3507	218	1	there	there	PRON
american_scientific_journal-3507	218	2	were	be	VERB
american_scientific_journal-3507	218	3	errors	error	NOUN
american_scientific_journal-3507	218	4	associated	associate	VERB
american_scientific_journal-3507	218	5	with	with	ADP
american_scientific_journal-3507	218	6	the	the	DET
american_scientific_journal-3507	218	7	numerical	numerical	ADJ
american_scientific_journal-3507	218	8	model	model	NOUN
american_scientific_journal-3507	218	9	but	but	CCONJ
american_scientific_journal-3507	218	10	it	it	PRON
american_scientific_journal-3507	218	11	was	be	AUX
american_scientific_journal-3507	218	12	mainly	mainly	ADV
american_scientific_journal-3507	218	13	as	as	ADP
american_scientific_journal-3507	218	14	a	a	DET
american_scientific_journal-3507	218	15	result	result	NOUN
american_scientific_journal-3507	218	16	of	of	ADP
american_scientific_journal-3507	218	17	truncation	truncation	NOUN
american_scientific_journal-3507	218	18	error	error	NOUN
american_scientific_journal-3507	218	19	.	.	PUNCT
american_scientific_journal-3507	219	1	the	the	DET
american_scientific_journal-3507	219	2	error	error	NOUN
american_scientific_journal-3507	219	3	associated	associate	VERB
american_scientific_journal-3507	219	4	with	with	ADP
american_scientific_journal-3507	219	5	both	both	CCONJ
american_scientific_journal-3507	219	6	the	the	DET
american_scientific_journal-3507	219	7	temporal	temporal	ADJ
american_scientific_journal-3507	219	8	and	and	CCONJ
american_scientific_journal-3507	219	9	spatial	spatial	ADJ
american_scientific_journal-3507	219	10	simulations	simulation	NOUN
american_scientific_journal-3507	219	11	grew	grow	VERB
american_scientific_journal-3507	219	12	initially	initially	ADV
american_scientific_journal-3507	219	13	to	to	ADP
american_scientific_journal-3507	219	14	some	some	DET
american_scientific_journal-3507	219	15	point	point	NOUN
american_scientific_journal-3507	219	16	and	and	CCONJ
american_scientific_journal-3507	219	17	decline	decline	VERB
american_scientific_journal-3507	219	18	from	from	ADP
american_scientific_journal-3507	219	19	that	that	DET
american_scientific_journal-3507	219	20	point	point	NOUN
american_scientific_journal-3507	219	21	onwards	onwards	ADV
american_scientific_journal-3507	219	22	.	.	PUNCT
american_scientific_journal-3507	220	1	the	the	DET
american_scientific_journal-3507	220	2	finite	finite	PROPN
american_scientific_journal-3507	220	3	difference	difference	NOUN
american_scientific_journal-3507	220	4	numerical	numerical	PROPN
american_scientific_journal-3507	220	5	model	model	NOUN
american_scientific_journal-3507	220	6	can	can	AUX
american_scientific_journal-3507	220	7	be	be	AUX
american_scientific_journal-3507	220	8	used	use	VERB
american_scientific_journal-3507	220	9	to	to	PART
american_scientific_journal-3507	220	10	model	model	VERB
american_scientific_journal-3507	220	11	the	the	DET
american_scientific_journal-3507	220	12	complex	complex	ADJ
american_scientific_journal-3507	220	13	solute	solute	NOUN
american_scientific_journal-3507	220	14	transport	transport	NOUN
american_scientific_journal-3507	220	15	process	process	NOUN
american_scientific_journal-3507	220	16	in	in	ADP
american_scientific_journal-3507	220	17	soil	soil	NOUN
american_scientific_journal-3507	220	18	.	.	PUNCT
american_scientific_journal-3507	221	1	however	however	ADV
american_scientific_journal-3507	221	2	,	,	PUNCT
american_scientific_journal-3507	221	3	there	there	PRON
american_scientific_journal-3507	221	4	will	will	AUX
american_scientific_journal-3507	221	5	be	be	AUX
american_scientific_journal-3507	221	6	some	some	DET
american_scientific_journal-3507	221	7	errors	error	NOUN
american_scientific_journal-3507	221	8	but	but	CCONJ
american_scientific_journal-3507	221	9	these	these	DET
american_scientific_journal-3507	221	10	errors	error	NOUN
american_scientific_journal-3507	221	11	will	will	AUX
american_scientific_journal-3507	221	12	not	not	PART
american_scientific_journal-3507	221	13	cause	cause	VERB
american_scientific_journal-3507	221	14	too	too	ADV
american_scientific_journal-3507	221	15	much	much	ADJ
american_scientific_journal-3507	221	16	difference	difference	NOUN
american_scientific_journal-3507	221	17	between	between	ADP
american_scientific_journal-3507	221	18	the	the	DET
american_scientific_journal-3507	221	19	numerical	numerical	ADJ
american_scientific_journal-3507	221	20	model	model	PROPN
american_scientific_journal-3507	221	21	solution	solution	NOUN
american_scientific_journal-3507	221	22	and	and	CCONJ
american_scientific_journal-3507	221	23	analytical	analytical	ADJ
american_scientific_journal-3507	221	24	model	model	NOUN
american_scientific_journal-3507	221	25	solution	solution	NOUN
american_scientific_journal-3507	221	26	should	should	AUX
american_scientific_journal-3507	221	27	it	it	PRON
american_scientific_journal-3507	221	28	have	have	AUX
american_scientific_journal-3507	221	29	been	be	AUX
american_scientific_journal-3507	221	30	possible	possible	ADJ
american_scientific_journal-3507	221	31	.	.	PUNCT
american_scientific_journal-3507	222	1	references	reference	NOUN
american_scientific_journal-3507	222	2	[	[	X
american_scientific_journal-3507	222	3	1	1	NUM
american_scientific_journal-3507	222	4	]	]	PUNCT
american_scientific_journal-3507	222	5	ann	ann	PROPN
american_scientific_journal-3507	222	6	mccauley	mccauley	PROPN
american_scientific_journal-3507	222	7	and	and	CCONJ
american_scientific_journal-3507	222	8	clain	clain	PROPN
american_scientific_journal-3507	222	9	jones	jones	PROPN
american_scientific_journal-3507	222	10	(	(	PUNCT
american_scientific_journal-3507	222	11	2005	2005	NUM
american_scientific_journal-3507	222	12	)	)	PUNCT
american_scientific_journal-3507	222	13	,	,	PUNCT
american_scientific_journal-3507	222	14	water	water	NOUN
american_scientific_journal-3507	222	15	and	and	CCONJ
american_scientific_journal-3507	222	16	solute	solute	VERB
american_scientific_journal-3507	222	17	transport	transport	NOUN
american_scientific_journal-3507	222	18	in	in	ADP
american_scientific_journal-3507	222	19	soils	soil	NOUN
american_scientific_journal-3507	222	20	,	,	PUNCT
american_scientific_journal-3507	222	21	soil	soil	NOUN
american_scientific_journal-3507	222	22	&	&	CCONJ
american_scientific_journal-3507	222	23	water	water	PROPN
american_scientific_journal-3507	222	24	management	management	NOUN
american_scientific_journal-3507	222	25	,	,	PUNCT
american_scientific_journal-3507	222	26	module	module	NOUN
american_scientific_journal-3507	222	27	4	4	NUM
american_scientific_journal-3507	222	28	,	,	PUNCT
american_scientific_journal-3507	222	29	pp	pp	ADJ
american_scientific_journal-3507	222	30	.	.	PUNCT
american_scientific_journal-3507	223	1	1	1	NUM
american_scientific_journal-3507	223	2	,	,	PUNCT
american_scientific_journal-3507	223	3	montana	montana	PROPN
american_scientific_journal-3507	223	4	state	state	PROPN
american_scientific_journal-3507	223	5	university	university	NOUN
american_scientific_journal-3507	223	6	-	-	PUNCT
american_scientific_journal-3507	223	7	bozema	bozema	NOUN
american_scientific_journal-3507	223	8	.	.	PUNCT
american_scientific_journal-3507	224	1	[	[	X
american_scientific_journal-3507	224	2	2	2	NUM
american_scientific_journal-3507	224	3	]	]	X
american_scientific_journal-3507	224	4	pimentel	pimentel	PROPN
american_scientific_journal-3507	224	5	,	,	PUNCT
american_scientific_journal-3507	224	6	d.	d.	PROPN
american_scientific_journal-3507	224	7	,	,	PUNCT
american_scientific_journal-3507	224	8	h.	h.	PROPN
american_scientific_journal-3507	224	9	acquay	acquay	PROPN
american_scientific_journal-3507	224	10	,	,	PUNCT
american_scientific_journal-3507	224	11	m.	m.	NOUN
american_scientific_journal-3507	224	12	biltonen	biltonen	NOUN
american_scientific_journal-3507	224	13	,	,	PUNCT
american_scientific_journal-3507	224	14	p.	p.	NOUN
american_scientific_journal-3507	224	15	rice	rice	PROPN
american_scientific_journal-3507	224	16	,	,	PUNCT
american_scientific_journal-3507	224	17	m.	m.	NOUN
american_scientific_journal-3507	224	18	silva	silva	PROPN
american_scientific_journal-3507	224	19	,	,	PUNCT
american_scientific_journal-3507	224	20	j.	j.	PROPN
american_scientific_journal-3507	224	21	nelson	nelson	PROPN
american_scientific_journal-3507	224	22	,	,	PUNCT
american_scientific_journal-3507	224	23	v.	v.	ADP
american_scientific_journal-3507	224	24	lipner	lipner	PROPN
american_scientific_journal-3507	224	25	,	,	PUNCT
american_scientific_journal-3507	224	26	s.	s.	PROPN
american_scientific_journal-3507	224	27	giordano	giordano	PROPN
american_scientific_journal-3507	224	28	,	,	PUNCT
american_scientific_journal-3507	224	29	a.	a.	PROPN
american_scientific_journal-3507	224	30	horowitz	horowitz	PROPN
american_scientific_journal-3507	224	31	,	,	PUNCT
american_scientific_journal-3507	224	32	m.	m.	NOUN
american_scientific_journal-3507	224	33	d’amore	d’amore	NOUN
american_scientific_journal-3507	224	34	(	(	PUNCT
american_scientific_journal-3507	224	35	1992	1992	NUM
american_scientific_journal-3507	224	36	)	)	PUNCT
american_scientific_journal-3507	224	37	,	,	PUNCT
american_scientific_journal-3507	224	38	environmental	environmental	ADJ
american_scientific_journal-3507	224	39	and	and	CCONJ
american_scientific_journal-3507	224	40	economic	economic	ADJ
american_scientific_journal-3507	224	41	costs	cost	NOUN
american_scientific_journal-3507	224	42	of	of	ADP
american_scientific_journal-3507	224	43	pesticide	pesticide	NOUN
american_scientific_journal-3507	224	44	use	use	NOUN
american_scientific_journal-3507	224	45	.	.	PUNCT
american_scientific_journal-3507	225	1	bioscience	bioscience	NOUN
american_scientific_journal-3507	225	2	.	.	PUNCT
american_scientific_journal-3507	226	1	42:750	42:750	X
american_scientific_journal-3507	226	2	-	-	SYM
american_scientific_journal-3507	226	3	760	760	NUM
american_scientific_journal-3507	226	4	.	.	PUNCT
american_scientific_journal-3507	227	1	[	[	X
american_scientific_journal-3507	227	2	3	3	NUM
american_scientific_journal-3507	227	3	]	]	X
american_scientific_journal-3507	227	4	pampolino	pampolino	PROPN
american_scientific_journal-3507	227	5	m.	m.	PROPN
american_scientific_journal-3507	227	6	f.	f.	PROPN
american_scientific_journal-3507	227	7	(	(	PUNCT
american_scientific_journal-3507	227	8	2000	2000	NUM
american_scientific_journal-3507	227	9	)	)	PUNCT
american_scientific_journal-3507	227	10	,	,	PUNCT
american_scientific_journal-3507	227	11	measurement	measurement	NOUN
american_scientific_journal-3507	227	12	of	of	ADP
american_scientific_journal-3507	227	13	nutrient	nutrient	NOUN
american_scientific_journal-3507	227	14	availability	availability	NOUN
american_scientific_journal-3507	227	15	and	and	CCONJ
american_scientific_journal-3507	227	16	solute	solute	NOUN
american_scientific_journal-3507	227	17	transport	transport	NOUN
american_scientific_journal-3507	227	18	in	in	ADP
american_scientific_journal-3507	227	19	soils	soil	NOUN
american_scientific_journal-3507	227	20	with	with	ADP
american_scientific_journal-3507	227	21	ion	ion	NOUN
american_scientific_journal-3507	227	22	exchange	exchange	NOUN
american_scientific_journal-3507	227	23	resin	resin	NOUN
american_scientific_journal-3507	227	24	capsules	capsule	NOUN
american_scientific_journal-3507	227	25	,	,	PUNCT
american_scientific_journal-3507	227	26	faculty	faculty	NOUN
american_scientific_journal-3507	227	27	of	of	ADP
american_scientific_journal-3507	227	28	agriculture	agriculture	PROPN
american_scientific_journal-3507	227	29	,	,	PUNCT
american_scientific_journal-3507	227	30	hokkaido	hokkaido	PROPN
american_scientific_journal-3507	227	31	university	university	PROPN
american_scientific_journal-3507	227	32	,	,	PUNCT
american_scientific_journal-3507	227	33	vol	vol	NOUN
american_scientific_journal-3507	227	34	.	.	PROPN
american_scientific_journal-3507	227	35	70	70	NUM
american_scientific_journal-3507	227	36	,	,	PUNCT
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american_scientific_journal-3507	227	38	.	.	PUNCT
american_scientific_journal-3507	228	1	i	i	PRON
american_scientific_journal-3507	228	2	,	,	PUNCT
american_scientific_journal-3507	228	3	pp	pp	PROPN
american_scientific_journal-3507	228	4	.	.	PUNCT
american_scientific_journal-3507	229	1	41	41	NUM
american_scientific_journal-3507	229	2	-	-	SYM
american_scientific_journal-3507	229	3	88	88	NUM
american_scientific_journal-3507	229	4	.	.	PUNCT
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american_scientific_journal-3507	230	2	4	4	X
american_scientific_journal-3507	230	3	]	]	PUNCT
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american_scientific_journal-3507	230	11	(	(	PUNCT
american_scientific_journal-3507	230	12	1988	1988	NUM
american_scientific_journal-3507	230	13	)	)	PUNCT
american_scientific_journal-3507	230	14	,	,	PUNCT
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american_scientific_journal-3507	230	17	,	,	PUNCT
american_scientific_journal-3507	230	18	2𝑎𝑎𝑑𝑑	2𝑎𝑎𝑑𝑑	PROPN
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american_scientific_journal-3507	230	20	,	,	PUNCT
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american_scientific_journal-3507	230	24	,	,	PUNCT
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american_scientific_journal-3507	230	26	,	,	PUNCT
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american_scientific_journal-3507	230	28	.	.	PUNCT
american_scientific_journal-3507	231	1	[	[	X
american_scientific_journal-3507	231	2	5	5	NUM
american_scientific_journal-3507	231	3	]	]	X
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american_scientific_journal-3507	231	5	,	,	PUNCT
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american_scientific_journal-3507	231	7	and	and	CCONJ
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american_scientific_journal-3507	231	9	,	,	PUNCT
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american_scientific_journal-3507	231	12	(	(	PUNCT
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american_scientific_journal-3507	231	14	.	.	PUNCT
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american_scientific_journal-3507	231	17	1972	1972	NUM
american_scientific_journal-3507	231	18	)	)	PUNCT
american_scientific_journal-3507	231	19	,	,	PUNCT
american_scientific_journal-3507	231	20	"	"	PUNCT
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american_scientific_journal-3507	231	22	transforms	transform	VERB
american_scientific_journal-3507	231	23	.	.	PUNCT
american_scientific_journal-3507	231	24	"	"	PUNCT
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american_scientific_journal-3507	232	2	.	.	PROPN
american_scientific_journal-3507	232	3	29	29	NUM
american_scientific_journal-3507	232	4	in	in	ADP
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american_scientific_journal-3507	232	6	of	of	ADP
american_scientific_journal-3507	232	7	american	american	ADJ
american_scientific_journal-3507	232	8	scientific	scientific	ADJ
american_scientific_journal-3507	232	9	research	research	NOUN
american_scientific_journal-3507	232	10	journal	journal	NOUN
american_scientific_journal-3507	232	11	for	for	ADP
american_scientific_journal-3507	232	12	engineering	engineering	NOUN
american_scientific_journal-3507	232	13	,	,	PUNCT
american_scientific_journal-3507	232	14	technology	technology	NOUN
american_scientific_journal-3507	232	15	,	,	PUNCT
american_scientific_journal-3507	232	16	and	and	CCONJ
american_scientific_journal-3507	232	17	sciences	science	NOUN
american_scientific_journal-3507	232	18	(	(	PUNCT
american_scientific_journal-3507	232	19	asrjets	asrjet	NOUN
american_scientific_journal-3507	232	20	)	)	PUNCT
american_scientific_journal-3507	232	21	(	(	PUNCT
american_scientific_journal-3507	232	22	2017	2017	NUM
american_scientific_journal-3507	232	23	)	)	PUNCT
american_scientific_journal-3507	232	24	volume	volume	NOUN
american_scientific_journal-3507	232	25	38	38	NUM
american_scientific_journal-3507	232	26	,	,	PUNCT
american_scientific_journal-3507	232	27	no	no	DET
american_scientific_journal-3507	232	28	1	1	NUM
american_scientific_journal-3507	232	29	,	,	PUNCT
american_scientific_journal-3507	232	30	pp	pp	ADV
american_scientific_journal-3507	232	31	235	235	NUM
american_scientific_journal-3507	232	32	-	-	SYM
american_scientific_journal-3507	232	33	249	249	NUM
american_scientific_journal-3507	232	34	249	249	NUM
american_scientific_journal-3507	232	35	mathematical	mathematical	ADJ
american_scientific_journal-3507	232	36	functions	function	NOUN
american_scientific_journal-3507	232	37	with	with	ADP
american_scientific_journal-3507	232	38	formulas	formula	NOUN
american_scientific_journal-3507	232	39	,	,	PUNCT
american_scientific_journal-3507	232	40	graphs	graph	NOUN
american_scientific_journal-3507	232	41	,	,	PUNCT
american_scientific_journal-3507	232	42	and	and	CCONJ
american_scientific_journal-3507	232	43	mathematical	mathematical	ADJ
american_scientific_journal-3507	232	44	tables	table	NOUN
american_scientific_journal-3507	232	45	,	,	PUNCT
american_scientific_journal-3507	232	46	9th	9th	ADJ
american_scientific_journal-3507	232	47	printing	printing	NOUN
american_scientific_journal-3507	232	48	,	,	PUNCT
american_scientific_journal-3507	232	49	pp	pp	ADJ
american_scientific_journal-3507	232	50	.	.	PUNCT
american_scientific_journal-3507	233	1	1019	1019	NUM
american_scientific_journal-3507	233	2	-	-	SYM
american_scientific_journal-3507	233	3	1030	1030	NUM
american_scientific_journal-3507	233	4	,	,	PUNCT
american_scientific_journal-3507	233	5	new	new	PROPN
american_scientific_journal-3507	233	6	york	york	PROPN
american_scientific_journal-3507	233	7	:	:	PUNCT
american_scientific_journal-3507	233	8	dover	dover	PROPN
american_scientific_journal-3507	233	9	.	.	PUNCT
american_scientific_journal-3507	234	1	[	[	X
american_scientific_journal-3507	234	2	6	6	NUM
american_scientific_journal-3507	234	3	]	]	PUNCT
american_scientific_journal-3507	234	4	contaminant	contaminant	NOUN
american_scientific_journal-3507	234	5	transport	transport	NOUN
american_scientific_journal-3507	234	6	in	in	ADP
american_scientific_journal-3507	234	7	the	the	DET
american_scientific_journal-3507	234	8	unsaturated	unsaturated	ADJ
american_scientific_journal-3507	234	9	zone	zone	NOUN
american_scientific_journal-3507	234	10	theory	theory	NOUN
american_scientific_journal-3507	234	11	and	and	CCONJ
american_scientific_journal-3507	234	12	modeling	modeling	NOUN
american_scientific_journal-3507	234	13	(	(	PUNCT
american_scientific_journal-3507	234	14	http//:www.pcprogress.com	http//:www.pcprogress.com	NOUN
american_scientific_journal-3507	234	15	/	/	SYM
american_scientific_journal-3507	234	16	documents	document	NOUN
american_scientific_journal-3507	234	17	/	/	SYM
american_scientific_journal-3507	234	18	jirka	jirka	NOUN
american_scientific_journal-3507	234	19	/	/	SYM
american_scientific_journal-3507	234	20	handbook_of_ge_p	handbook_of_ge_p	PROPN
american_scientific_journal-3507	235	1	[	[	X
american_scientific_journal-3507	235	2	7	7	X
american_scientific_journal-3507	235	3	]	]	PUNCT
american_scientific_journal-3507	235	4	or	or	CCONJ
american_scientific_journal-3507	235	5	d.	d.	PROPN
american_scientific_journal-3507	235	6	and	and	CCONJ
american_scientific_journal-3507	235	7	jon	jon	PROPN
american_scientific_journal-3507	235	8	m.	m.	PROPN
american_scientific_journal-3507	235	9	wraith	wraith	PROPN
american_scientific_journal-3507	235	10	(	(	PUNCT
american_scientific_journal-3507	235	11	2002	2002	NUM
american_scientific_journal-3507	235	12	)	)	PUNCT
american_scientific_journal-3507	235	13	,	,	PUNCT
american_scientific_journal-3507	235	14	unsaturated	unsaturated	ADJ
american_scientific_journal-3507	235	15	flow	flow	NOUN
american_scientific_journal-3507	235	16	and	and	CCONJ
american_scientific_journal-3507	235	17	transport	transport	NOUN
american_scientific_journal-3507	235	18	,	,	PUNCT
american_scientific_journal-3507	235	19	course	course	NOUN
american_scientific_journal-3507	235	20	notes	note	NOUN
american_scientific_journal-3507	235	21	,	,	PUNCT
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american_scientific_journal-3507	235	25	(	(	PUNCT
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american_scientific_journal-3507	235	27	)	)	PUNCT
american_scientific_journal-3507	235	28	,	,	PUNCT
american_scientific_journal-3507	235	29	montana	montana	PROPN
american_scientific_journal-3507	235	30	state	state	PROPN
american_scientific_journal-3507	235	31	university	university	PROPN
american_scientific_journal-3507	235	32	(	(	PUNCT
american_scientific_journal-3507	235	33	bozeman	bozeman	NOUN
american_scientific_journal-3507	235	34	)	)	PUNCT
american_scientific_journal-3507	235	35	.	.	PUNCT
american_scientific_journal-3507	236	1	[	[	X
american_scientific_journal-3507	236	2	8	8	NUM
american_scientific_journal-3507	236	3	]	]	X
american_scientific_journal-3507	236	4	wexler	wexler	PROPN
american_scientific_journal-3507	236	5	e.	e.	PROPN
american_scientific_journal-3507	236	6	j.	j.	PROPN
american_scientific_journal-3507	236	7	(	(	PUNCT
american_scientific_journal-3507	236	8	1992	1992	NUM
american_scientific_journal-3507	236	9	)	)	PUNCT
american_scientific_journal-3507	236	10	,	,	PUNCT
american_scientific_journal-3507	236	11	review	review	NOUN
american_scientific_journal-3507	236	12	of	of	ADP
american_scientific_journal-3507	236	13	analytical	analytical	ADJ
american_scientific_journal-3507	236	14	solution	solution	NOUN
american_scientific_journal-3507	236	15	for	for	ADP
american_scientific_journal-3507	236	16	one	one	NUM
american_scientific_journal-3507	236	17	,	,	PUNCT
american_scientific_journal-3507	236	18	two	two	NUM
american_scientific_journal-3507	236	19	,	,	PUNCT
american_scientific_journal-3507	236	20	and	and	CCONJ
american_scientific_journal-3507	236	21	three	three	NUM
american_scientific_journal-3507	236	22	dimensional	dimensional	ADJ
american_scientific_journal-3507	236	23	solute	solute	NOUN
american_scientific_journal-3507	236	24	transport	transport	NOUN
american_scientific_journal-3507	236	25	in	in	ADP
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american_scientific_journal-3507	236	28	with	with	ADP
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american_scientific_journal-3507	236	31	,	,	PUNCT
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american_scientific_journal-3507	236	35	resources	resource	NOUN
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american_scientific_journal-3507	236	37	of	of	ADP
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american_scientific_journal-3507	236	43	,	,	PUNCT
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american_scientific_journal-3507	236	45	,	,	PUNCT
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american_scientific_journal-3507	236	47	,	,	PUNCT
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american_scientific_journal-3507	237	1	[	[	X
american_scientific_journal-3507	237	2	9	9	NUM
american_scientific_journal-3507	237	3	]	]	X
american_scientific_journal-3507	237	4	lal	lal	PROPN
american_scientific_journal-3507	237	5	r.	r.	PROPN
american_scientific_journal-3507	237	6	and	and	CCONJ
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american_scientific_journal-3507	237	10	(	(	PUNCT
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american_scientific_journal-3507	237	12	)	)	PUNCT
american_scientific_journal-3507	237	13	,	,	PUNCT
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american_scientific_journal-3507	237	15	of	of	ADP
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american_scientific_journal-3507	237	17	physics	physics	PROPN
american_scientific_journal-3507	237	18	,	,	PUNCT
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american_scientific_journal-3507	237	21	university	university	PROPN
american_scientific_journal-3507	237	22	,	,	PUNCT
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american_scientific_journal-3507	237	25	,	,	PUNCT
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american_scientific_journal-3507	237	30	,	,	PUNCT
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american_scientific_journal-3507	237	32	.	.	PUNCT
american_scientific_journal-3507	238	1	[	[	X
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american_scientific_journal-3507	238	3	]	]	X
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american_scientific_journal-3507	238	5	,	,	PUNCT
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american_scientific_journal-3507	239	4	,	,	PUNCT
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american_scientific_journal-3507	239	10	.	.	PUNCT
american_scientific_journal-3507	240	1	in	in	ADP
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american_scientific_journal-3507	240	5	(	(	PUNCT
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american_scientific_journal-3507	240	7	.	.	PUNCT
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american_scientific_journal-3507	240	9	,	,	PUNCT
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american_scientific_journal-3507	240	12	and	and	CCONJ
american_scientific_journal-3507	240	13	ground	ground	NOUN
american_scientific_journal-3507	240	14	water	water	NOUN
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american_scientific_journal-3507	240	16	(	(	PUNCT
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american_scientific_journal-3507	240	18	.	.	PUNCT
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american_scientific_journal-3507	240	20	-	-	SYM
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american_scientific_journal-3507	240	22	)	)	PUNCT
american_scientific_journal-3507	240	23	.	.	PUNCT
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american_scientific_journal-3507	241	3	.	.	PROPN
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american_scientific_journal-3507	241	5	.	.	PUNCT
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american_scientific_journal-3507	242	2	.	.	PUNCT
american_scientific_journal-3507	243	1	[	[	X
american_scientific_journal-3507	243	2	11	11	NUM
american_scientific_journal-3507	243	3	]	]	X
american_scientific_journal-3507	243	4	kumar	kumar	PROPN
american_scientific_journal-3507	243	5	a.	a.	PROPN
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american_scientific_journal-3507	243	7	d.	d.	PROPN
american_scientific_journal-3507	243	8	,	,	PUNCT
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american_scientific_journal-3507	243	10	n.	n.	PROPN
american_scientific_journal-3507	243	11	(	(	PUNCT
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american_scientific_journal-3507	243	14	,	,	PUNCT
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american_scientific_journal-3507	243	16	modeling	modeling	NOUN
american_scientific_journal-3507	243	17	of	of	ADP
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american_scientific_journal-3507	243	19	-	-	PUNCT
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american_scientific_journal-3507	243	21	advection	advection	NOUN
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american_scientific_journal-3507	243	23	equation	equation	NOUN
american_scientific_journal-3507	243	24	with	with	ADP
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american_scientific_journal-3507	243	31	,	,	PUNCT
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american_scientific_journal-3507	243	33	of	of	ADP
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american_scientific_journal-3507	243	37	,	,	PUNCT
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american_scientific_journal-3507	243	41	,	,	PUNCT
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american_scientific_journal-3507	243	45	,	,	PUNCT
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american_scientific_journal-3507	243	47	.	.	PUNCT
american_scientific_journal-3507	244	1	539	539	NUM
american_scientific_journal-3507	244	2	-	-	SYM
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american_scientific_journal-3507	244	4	.	.	PUNCT
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american_scientific_journal-3507	245	3	]	]	PUNCT
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american_scientific_journal-3507	245	5	,	,	PUNCT
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american_scientific_journal-3507	246	14	,	,	PUNCT
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american_scientific_journal-3507	248	27	,	,	PUNCT
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american_scientific_journal-3507	248	29	.	.	PUNCT
american_scientific_journal-3507	249	1	1.1	1.1	NUM
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american_scientific_journal-3507	249	12	-	-	PUNCT
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