id	sid	tid	token	lemma	pos
american_scientific_journal-4934	1	1	218	218	NUM
american_scientific_journal-4934	1	2	american	american	ADJ
american_scientific_journal-4934	1	3	scientific	scientific	ADJ
american_scientific_journal-4934	1	4	research	research	NOUN
american_scientific_journal-4934	1	5	journal	journal	NOUN
american_scientific_journal-4934	1	6	for	for	ADP
american_scientific_journal-4934	1	7	engineering	engineering	NOUN
american_scientific_journal-4934	1	8	,	,	PUNCT
american_scientific_journal-4934	1	9	technology	technology	NOUN
american_scientific_journal-4934	1	10	,	,	PUNCT
american_scientific_journal-4934	1	11	and	and	CCONJ
american_scientific_journal-4934	1	12	sciences	science	NOUN
american_scientific_journal-4934	1	13	(	(	PUNCT
american_scientific_journal-4934	1	14	asrjets	asrjet	NOUN
american_scientific_journal-4934	1	15	)	)	PUNCT
american_scientific_journal-4934	1	16	issn	issn	PROPN
american_scientific_journal-4934	1	17	(	(	PUNCT
american_scientific_journal-4934	1	18	print	print	NOUN
american_scientific_journal-4934	1	19	)	)	PUNCT
american_scientific_journal-4934	1	20	2313	2313	NUM
american_scientific_journal-4934	1	21	-	-	SYM
american_scientific_journal-4934	1	22	4410	4410	NUM
american_scientific_journal-4934	1	23	,	,	PUNCT
american_scientific_journal-4934	1	24	issn	issn	PROPN
american_scientific_journal-4934	1	25	(	(	PUNCT
american_scientific_journal-4934	1	26	online	online	ADJ
american_scientific_journal-4934	1	27	)	)	PUNCT
american_scientific_journal-4934	1	28	2313	2313	NUM
american_scientific_journal-4934	1	29	-	-	SYM
american_scientific_journal-4934	1	30	4402	4402	NUM
american_scientific_journal-4934	1	31	©	©	PROPN
american_scientific_journal-4934	1	32	global	global	ADJ
american_scientific_journal-4934	1	33	society	society	NOUN
american_scientific_journal-4934	1	34	of	of	ADP
american_scientific_journal-4934	1	35	scientific	scientific	ADJ
american_scientific_journal-4934	1	36	research	research	NOUN
american_scientific_journal-4934	1	37	and	and	CCONJ
american_scientific_journal-4934	1	38	researchers	researcher	NOUN
american_scientific_journal-4934	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	ADJ
american_scientific_journal-4934	1	40	analytical	analytical	ADJ
american_scientific_journal-4934	1	41	analysis	analysis	NOUN
american_scientific_journal-4934	1	42	of	of	ADP
american_scientific_journal-4934	1	43	two	two	NUM
american_scientific_journal-4934	1	44	dimensional	dimensional	ADJ
american_scientific_journal-4934	1	45	consolidation	consolidation	NOUN
american_scientific_journal-4934	1	46	of	of	ADP
american_scientific_journal-4934	1	47	soil	soil	NOUN
american_scientific_journal-4934	1	48	ohioze	ohioze	ADJ
american_scientific_journal-4934	1	49	osemobora	osemobora	PROPN
american_scientific_journal-4934	1	50	*	*	PROPN
american_scientific_journal-4934	1	51	,	,	PUNCT
american_scientific_journal-4934	1	52	ebuka	ebuka	PROPN
american_scientific_journal-4934	1	53	nwankwob	nwankwob	PROPN
american_scientific_journal-4934	1	54	,	,	PUNCT
american_scientific_journal-4934	1	55	solomon	solomon	PROPN
american_scientific_journal-4934	1	56	iyekec	iyekec	NOUN
american_scientific_journal-4934	1	57	,	,	PUNCT
american_scientific_journal-4934	1	58	adedayo	adedayo	VERB
american_scientific_journal-4934	1	59	aladenikad	aladenikad	NOUN
american_scientific_journal-4934	1	60	a	a	DET
american_scientific_journal-4934	1	61	,	,	PUNCT
american_scientific_journal-4934	1	62	b	b	NOUN
american_scientific_journal-4934	1	63	,	,	PUNCT
american_scientific_journal-4934	1	64	c	c	NOUN
american_scientific_journal-4934	1	65	,	,	PUNCT
american_scientific_journal-4934	1	66	ddepartment	ddepartment	NOUN
american_scientific_journal-4934	1	67	of	of	ADP
american_scientific_journal-4934	1	68	civil	civil	ADJ
american_scientific_journal-4934	1	69	engineering	engineering	NOUN
american_scientific_journal-4934	1	70	,	,	PUNCT
american_scientific_journal-4934	1	71	university	university	PROPN
american_scientific_journal-4934	1	72	of	of	ADP
american_scientific_journal-4934	1	73	benin	benin	PROPN
american_scientific_journal-4934	1	74	,	,	PUNCT
american_scientific_journal-4934	1	75	benin	benin	PROPN
american_scientific_journal-4934	1	76	-	-	PUNCT
american_scientific_journal-4934	1	77	city	city	NOUN
american_scientific_journal-4934	1	78	,	,	PUNCT
american_scientific_journal-4934	1	79	nigeria	nigeria	PROPN
american_scientific_journal-4934	1	80	aemail	aemail	NOUN
american_scientific_journal-4934	1	81	:	:	PUNCT
american_scientific_journal-4934	1	82	fredosemobor@yahoo.com	fredosemobor@yahoo.com	X
american_scientific_journal-4934	1	83	bemail	bemail	NOUN
american_scientific_journal-4934	1	84	:	:	PUNCT
american_scientific_journal-4934	1	85	nwankwoebuka@yahoo.co.uk	nwankwoebuka@yahoo.co.uk	ADJ
american_scientific_journal-4934	1	86	cemail	cemail	NOUN
american_scientific_journal-4934	1	87	:	:	PUNCT
american_scientific_journal-4934	1	88	solo.iyeke@gmail.com	solo.iyeke@gmail.com	X
american_scientific_journal-4934	1	89	demail	demail	NOUN
american_scientific_journal-4934	1	90	:	:	PUNCT
american_scientific_journal-4934	1	91	admofocon2002@yahoo.com	admofocon2002@yahoo.com	X
american_scientific_journal-4934	2	1	abstract	abstract	ADJ
american_scientific_journal-4934	2	2	consolidation	consolidation	NOUN
american_scientific_journal-4934	2	3	is	be	AUX
american_scientific_journal-4934	2	4	the	the	DET
american_scientific_journal-4934	2	5	gradual	gradual	ADJ
american_scientific_journal-4934	2	6	reduction	reduction	NOUN
american_scientific_journal-4934	2	7	in	in	ADP
american_scientific_journal-4934	2	8	volume	volume	NOUN
american_scientific_journal-4934	2	9	of	of	ADP
american_scientific_journal-4934	2	10	a	a	DET
american_scientific_journal-4934	2	11	saturated	saturate	VERB
american_scientific_journal-4934	2	12	soil	soil	NOUN
american_scientific_journal-4934	2	13	due	due	ADP
american_scientific_journal-4934	2	14	to	to	ADP
american_scientific_journal-4934	2	15	drainage	drainage	NOUN
american_scientific_journal-4934	2	16	of	of	ADP
american_scientific_journal-4934	2	17	some	some	PRON
american_scientific_journal-4934	2	18	of	of	ADP
american_scientific_journal-4934	2	19	the	the	DET
american_scientific_journal-4934	2	20	pore	pore	ADJ
american_scientific_journal-4934	2	21	water	water	NOUN
american_scientific_journal-4934	2	22	,	,	PUNCT
american_scientific_journal-4934	2	23	the	the	DET
american_scientific_journal-4934	2	24	process	process	NOUN
american_scientific_journal-4934	2	25	continuing	continue	VERB
american_scientific_journal-4934	2	26	until	until	SCONJ
american_scientific_journal-4934	2	27	the	the	DET
american_scientific_journal-4934	2	28	excess	excess	ADJ
american_scientific_journal-4934	2	29	pore	pore	ADJ
american_scientific_journal-4934	2	30	water	water	NOUN
american_scientific_journal-4934	2	31	pressure	pressure	NOUN
american_scientific_journal-4934	2	32	set	set	VERB
american_scientific_journal-4934	2	33	up	up	ADP
american_scientific_journal-4934	2	34	by	by	ADP
american_scientific_journal-4934	2	35	an	an	DET
american_scientific_journal-4934	2	36	increase	increase	NOUN
american_scientific_journal-4934	2	37	in	in	ADP
american_scientific_journal-4934	2	38	total	total	ADJ
american_scientific_journal-4934	2	39	stress	stress	NOUN
american_scientific_journal-4934	2	40	has	have	AUX
american_scientific_journal-4934	2	41	completely	completely	ADV
american_scientific_journal-4934	2	42	dissipated	dissipate	VERB
american_scientific_journal-4934	2	43	;	;	PUNCT
american_scientific_journal-4934	2	44	the	the	DET
american_scientific_journal-4934	2	45	most	most	ADV
american_scientific_journal-4934	2	46	common	common	ADJ
american_scientific_journal-4934	2	47	case	case	NOUN
american_scientific_journal-4934	2	48	is	be	AUX
american_scientific_journal-4934	2	49	that	that	PRON
american_scientific_journal-4934	2	50	of	of	ADP
american_scientific_journal-4934	2	51	one	one	NUM
american_scientific_journal-4934	2	52	dimensional	dimensional	ADJ
american_scientific_journal-4934	2	53	consolidation	consolidation	NOUN
american_scientific_journal-4934	2	54	.	.	PUNCT
american_scientific_journal-4934	3	1	in	in	ADP
american_scientific_journal-4934	3	2	reality	reality	NOUN
american_scientific_journal-4934	3	3	,	,	PUNCT
american_scientific_journal-4934	3	4	the	the	DET
american_scientific_journal-4934	3	5	terzaghi	terzaghi	PROPN
american_scientific_journal-4934	3	6	’s	’s	PART
american_scientific_journal-4934	3	7	1dimensional	1dimensional	NUM
american_scientific_journal-4934	3	8	consolidation	consolidation	NOUN
american_scientific_journal-4934	3	9	theory	theory	NOUN
american_scientific_journal-4934	3	10	has	have	AUX
american_scientific_journal-4934	3	11	been	be	AUX
american_scientific_journal-4934	3	12	found	find	VERB
american_scientific_journal-4934	3	13	to	to	PART
american_scientific_journal-4934	3	14	be	be	AUX
american_scientific_journal-4934	3	15	highly	highly	ADV
american_scientific_journal-4934	3	16	conservative	conservative	ADJ
american_scientific_journal-4934	3	17	and	and	CCONJ
american_scientific_journal-4934	3	18	at	at	ADP
american_scientific_journal-4934	3	19	best	good	ADJ
american_scientific_journal-4934	3	20	only	only	ADV
american_scientific_journal-4934	3	21	an	an	DET
american_scientific_journal-4934	3	22	estimation	estimation	NOUN
american_scientific_journal-4934	3	23	of	of	ADP
american_scientific_journal-4934	3	24	the	the	DET
american_scientific_journal-4934	3	25	actual	actual	ADJ
american_scientific_journal-4934	3	26	consolidation	consolidation	NOUN
american_scientific_journal-4934	3	27	.	.	PUNCT
american_scientific_journal-4934	4	1	accurately	accurately	ADV
american_scientific_journal-4934	4	2	predicting	predict	VERB
american_scientific_journal-4934	4	3	consolidation	consolidation	NOUN
american_scientific_journal-4934	4	4	in	in	ADP
american_scientific_journal-4934	4	5	soil	soil	NOUN
american_scientific_journal-4934	4	6	has	have	AUX
american_scientific_journal-4934	4	7	led	lead	VERB
american_scientific_journal-4934	4	8	to	to	ADP
american_scientific_journal-4934	4	9	the	the	DET
american_scientific_journal-4934	4	10	development	development	NOUN
american_scientific_journal-4934	4	11	of	of	ADP
american_scientific_journal-4934	4	12	2	2	NUM
american_scientific_journal-4934	4	13	-	-	PUNCT
american_scientific_journal-4934	4	14	dimensional	dimensional	ADJ
american_scientific_journal-4934	4	15	consolidation	consolidation	NOUN
american_scientific_journal-4934	4	16	solutions	solution	NOUN
american_scientific_journal-4934	4	17	.	.	PUNCT
american_scientific_journal-4934	5	1	in	in	ADP
american_scientific_journal-4934	5	2	this	this	DET
american_scientific_journal-4934	5	3	paper	paper	NOUN
american_scientific_journal-4934	5	4	analytical	analytical	ADJ
american_scientific_journal-4934	5	5	solution	solution	NOUN
american_scientific_journal-4934	5	6	(	(	PUNCT
american_scientific_journal-4934	5	7	using	use	VERB
american_scientific_journal-4934	5	8	the	the	DET
american_scientific_journal-4934	5	9	separation	separation	NOUN
american_scientific_journal-4934	5	10	of	of	ADP
american_scientific_journal-4934	5	11	variables	variable	NOUN
american_scientific_journal-4934	5	12	method	method	NOUN
american_scientific_journal-4934	5	13	)	)	PUNCT
american_scientific_journal-4934	5	14	have	have	AUX
american_scientific_journal-4934	5	15	been	be	AUX
american_scientific_journal-4934	5	16	provided	provide	VERB
american_scientific_journal-4934	5	17	for	for	ADP
american_scientific_journal-4934	5	18	2	2	NUM
american_scientific_journal-4934	5	19	-	-	PUNCT
american_scientific_journal-4934	5	20	dimensional	dimensional	ADJ
american_scientific_journal-4934	5	21	consolidation	consolidation	NOUN
american_scientific_journal-4934	5	22	equation	equation	NOUN
american_scientific_journal-4934	5	23	.	.	PUNCT
american_scientific_journal-4934	6	1	keywords	keyword	NOUN
american_scientific_journal-4934	6	2	:	:	PUNCT
american_scientific_journal-4934	6	3	consolidation	consolidation	NOUN
american_scientific_journal-4934	6	4	;	;	PUNCT
american_scientific_journal-4934	6	5	two	two	NUM
american_scientific_journal-4934	6	6	-	-	PUNCT
american_scientific_journal-4934	6	7	dimensional	dimensional	ADJ
american_scientific_journal-4934	6	8	;	;	PUNCT
american_scientific_journal-4934	6	9	pore	pore	ADJ
american_scientific_journal-4934	6	10	water	water	NOUN
american_scientific_journal-4934	6	11	pressure	pressure	NOUN
american_scientific_journal-4934	6	12	;	;	PUNCT
american_scientific_journal-4934	6	13	analytical	analytical	ADJ
american_scientific_journal-4934	6	14	method	method	NOUN
american_scientific_journal-4934	6	15	,	,	PUNCT
american_scientific_journal-4934	6	16	soil	soil	NOUN
american_scientific_journal-4934	6	17	.	.	PUNCT
american_scientific_journal-4934	7	1	1	1	X
american_scientific_journal-4934	7	2	.	.	X
american_scientific_journal-4934	7	3	introduction	introduction	NOUN
american_scientific_journal-4934	7	4	in	in	ADP
american_scientific_journal-4934	7	5	many	many	ADJ
american_scientific_journal-4934	7	6	real	real	ADJ
american_scientific_journal-4934	7	7	problems	problem	NOUN
american_scientific_journal-4934	7	8	of	of	ADP
american_scientific_journal-4934	7	9	soil	soil	NOUN
american_scientific_journal-4934	7	10	mechanics	mechanic	NOUN
american_scientific_journal-4934	7	11	,	,	PUNCT
american_scientific_journal-4934	7	12	the	the	DET
american_scientific_journal-4934	7	13	conditions	condition	NOUN
american_scientific_journal-4934	7	14	are	be	AUX
american_scientific_journal-4934	7	15	basically	basically	ADV
american_scientific_journal-4934	7	16	two	two	NUM
american_scientific_journal-4934	7	17	-	-	PUNCT
american_scientific_journal-4934	7	18	dimensional	dimensional	ADJ
american_scientific_journal-4934	7	19	as	as	ADP
american_scientific_journal-4934	7	20	in	in	ADP
american_scientific_journal-4934	7	21	the	the	DET
american_scientific_journal-4934	7	22	case	case	NOUN
american_scientific_journal-4934	7	23	of	of	ADP
american_scientific_journal-4934	7	24	consolidation	consolidation	NOUN
american_scientific_journal-4934	7	25	of	of	ADP
american_scientific_journal-4934	7	26	hydraulically	hydraulically	ADV
american_scientific_journal-4934	7	27	deposited	deposit	VERB
american_scientific_journal-4934	7	28	soils	soil	NOUN
american_scientific_journal-4934	7	29	.	.	PUNCT
american_scientific_journal-4934	8	1	terzaghi	terzaghi	PROPN
american_scientific_journal-4934	8	2	in	in	ADP
american_scientific_journal-4934	8	3	1925	1925	NUM
american_scientific_journal-4934	8	4	proposed	propose	VERB
american_scientific_journal-4934	8	5	the	the	DET
american_scientific_journal-4934	8	6	first	first	ADJ
american_scientific_journal-4934	8	7	theory	theory	NOUN
american_scientific_journal-4934	8	8	to	to	PART
american_scientific_journal-4934	8	9	consider	consider	VERB
american_scientific_journal-4934	8	10	the	the	DET
american_scientific_journal-4934	8	11	rate	rate	NOUN
american_scientific_journal-4934	8	12	of	of	ADP
american_scientific_journal-4934	8	13	consolidation	consolidation	NOUN
american_scientific_journal-4934	8	14	for	for	ADP
american_scientific_journal-4934	8	15	saturated	saturate	VERB
american_scientific_journal-4934	8	16	cohesive	cohesive	ADJ
american_scientific_journal-4934	8	17	soils	soil	NOUN
american_scientific_journal-4934	8	18	.	.	PUNCT
american_scientific_journal-4934	9	1	the	the	DET
american_scientific_journal-4934	9	2	theory	theory	NOUN
american_scientific_journal-4934	9	3	was	be	AUX
american_scientific_journal-4934	9	4	based	base	VERB
american_scientific_journal-4934	9	5	on	on	ADP
american_scientific_journal-4934	9	6	certain	certain	ADJ
american_scientific_journal-4934	9	7	assumptions	assumption	NOUN
american_scientific_journal-4934	9	8	including	include	VERB
american_scientific_journal-4934	9	9	that	that	SCONJ
american_scientific_journal-4934	9	10	the	the	DET
american_scientific_journal-4934	9	11	flow	flow	NOUN
american_scientific_journal-4934	9	12	of	of	ADP
american_scientific_journal-4934	9	13	water	water	NOUN
american_scientific_journal-4934	9	14	during	during	ADP
american_scientific_journal-4934	9	15	consolidation	consolidation	NOUN
american_scientific_journal-4934	9	16	is	be	AUX
american_scientific_journal-4934	9	17	only	only	ADV
american_scientific_journal-4934	9	18	in	in	ADP
american_scientific_journal-4934	9	19	the	the	DET
american_scientific_journal-4934	9	20	vertical	vertical	ADJ
american_scientific_journal-4934	9	21	direction	direction	NOUN
american_scientific_journal-4934	9	22	.	.	PUNCT
american_scientific_journal-4934	10	1	some	some	PRON
american_scientific_journal-4934	10	2	of	of	ADP
american_scientific_journal-4934	10	3	the	the	DET
american_scientific_journal-4934	10	4	assumptions	assumption	NOUN
american_scientific_journal-4934	10	5	made	make	VERB
american_scientific_journal-4934	10	6	by	by	ADP
american_scientific_journal-4934	10	7	terzaghi	terzaghi	PROPN
american_scientific_journal-4934	10	8	are	be	AUX
american_scientific_journal-4934	10	9	not	not	PART
american_scientific_journal-4934	10	10	fully	fully	ADV
american_scientific_journal-4934	10	11	satisfied	satisfied	ADJ
american_scientific_journal-4934	10	12	in	in	ADP
american_scientific_journal-4934	10	13	actual	actual	ADJ
american_scientific_journal-4934	10	14	field	field	NOUN
american_scientific_journal-4934	10	15	problems	problem	NOUN
american_scientific_journal-4934	10	16	.	.	PUNCT
american_scientific_journal-4934	11	1	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-4934	12	1	*	*	PUNCT
american_scientific_journal-4934	12	2	corresponding	correspond	VERB
american_scientific_journal-4934	12	3	author	author	NOUN
american_scientific_journal-4934	12	4	.	.	PUNCT
american_scientific_journal-4934	13	1	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-4934	13	2	american	american	PROPN
american_scientific_journal-4934	13	3	scientific	scientific	PROPN
american_scientific_journal-4934	13	4	research	research	NOUN
american_scientific_journal-4934	13	5	journal	journal	NOUN
american_scientific_journal-4934	13	6	for	for	ADP
american_scientific_journal-4934	13	7	engineering	engineering	NOUN
american_scientific_journal-4934	13	8	,	,	PUNCT
american_scientific_journal-4934	13	9	technology	technology	NOUN
american_scientific_journal-4934	13	10	,	,	PUNCT
american_scientific_journal-4934	13	11	and	and	CCONJ
american_scientific_journal-4934	13	12	sciences	science	NOUN
american_scientific_journal-4934	13	13	(	(	PUNCT
american_scientific_journal-4934	13	14	asrjets	asrjet	NOUN
american_scientific_journal-4934	13	15	)	)	PUNCT
american_scientific_journal-4934	13	16	(	(	PUNCT
american_scientific_journal-4934	13	17	2019	2019	NUM
american_scientific_journal-4934	13	18	)	)	PUNCT
american_scientific_journal-4934	13	19	volume	volume	NOUN
american_scientific_journal-4934	13	20	56	56	NUM
american_scientific_journal-4934	13	21	,	,	PUNCT
american_scientific_journal-4934	13	22	no	no	DET
american_scientific_journal-4934	13	23	1	1	NUM
american_scientific_journal-4934	13	24	,	,	PUNCT
american_scientific_journal-4934	13	25	pp	pp	ADV
american_scientific_journal-4934	13	26	218	218	NUM
american_scientific_journal-4934	13	27	-	-	SYM
american_scientific_journal-4934	13	28	229	229	NUM
american_scientific_journal-4934	13	29	219	219	NUM
american_scientific_journal-4934	13	30	the	the	DET
american_scientific_journal-4934	13	31	results	result	NOUN
american_scientific_journal-4934	13	32	obtained	obtain	VERB
american_scientific_journal-4934	13	33	from	from	ADP
american_scientific_journal-4934	13	34	the	the	DET
american_scientific_journal-4934	13	35	use	use	NOUN
american_scientific_journal-4934	13	36	of	of	ADP
american_scientific_journal-4934	13	37	his	his	PRON
american_scientific_journal-4934	13	38	theory	theory	NOUN
american_scientific_journal-4934	13	39	in	in	ADP
american_scientific_journal-4934	13	40	solving	solve	VERB
american_scientific_journal-4934	13	41	practical	practical	ADJ
american_scientific_journal-4934	13	42	problems	problem	NOUN
american_scientific_journal-4934	13	43	are	be	AUX
american_scientific_journal-4934	13	44	at	at	ADP
american_scientific_journal-4934	13	45	best	good	ADJ
american_scientific_journal-4934	13	46	approximations	approximation	NOUN
american_scientific_journal-4934	13	47	.	.	PUNCT
american_scientific_journal-4934	14	1	according	accord	VERB
american_scientific_journal-4934	14	2	to	to	ADP
american_scientific_journal-4934	14	3	[	[	X
american_scientific_journal-4934	14	4	1	1	NUM
american_scientific_journal-4934	14	5	]	]	PUNCT
american_scientific_journal-4934	14	6	,	,	PUNCT
american_scientific_journal-4934	14	7	one	one	NUM
american_scientific_journal-4934	14	8	of	of	ADP
american_scientific_journal-4934	14	9	the	the	DET
american_scientific_journal-4934	14	10	major	major	ADJ
american_scientific_journal-4934	14	11	limitations	limitation	NOUN
american_scientific_journal-4934	14	12	of	of	ADP
american_scientific_journal-4934	14	13	the	the	DET
american_scientific_journal-4934	14	14	terzaghi	terzaghi	PROPN
american_scientific_journal-4934	14	15	’s	’s	PART
american_scientific_journal-4934	14	16	theory	theory	NOUN
american_scientific_journal-4934	14	17	is	be	AUX
american_scientific_journal-4934	14	18	that	that	SCONJ
american_scientific_journal-4934	14	19	in	in	ADP
american_scientific_journal-4934	14	20	the	the	DET
american_scientific_journal-4934	14	21	field	field	NOUN
american_scientific_journal-4934	14	22	,	,	PUNCT
american_scientific_journal-4934	14	23	the	the	DET
american_scientific_journal-4934	14	24	consolidation	consolidation	NOUN
american_scientific_journal-4934	14	25	is	be	AUX
american_scientific_journal-4934	14	26	usually	usually	ADV
american_scientific_journal-4934	14	27	not	not	PART
american_scientific_journal-4934	14	28	one	one	NUM
american_scientific_journal-4934	14	29	dimensional	dimensional	ADJ
american_scientific_journal-4934	14	30	.	.	PUNCT
american_scientific_journal-4934	15	1	several	several	ADJ
american_scientific_journal-4934	15	2	researchers	researcher	NOUN
american_scientific_journal-4934	15	3	[	[	X
american_scientific_journal-4934	15	4	2	2	NUM
american_scientific_journal-4934	15	5	-	-	SYM
american_scientific_journal-4934	15	6	7	7	NUM
american_scientific_journal-4934	15	7	]	]	PUNCT
american_scientific_journal-4934	15	8	have	have	AUX
american_scientific_journal-4934	15	9	made	make	VERB
american_scientific_journal-4934	15	10	advances	advance	NOUN
american_scientific_journal-4934	15	11	towards	towards	ADP
american_scientific_journal-4934	15	12	terzaghi	terzaghi	PROPN
american_scientific_journal-4934	15	13	’s	’s	PART
american_scientific_journal-4934	15	14	theory	theory	NOUN
american_scientific_journal-4934	15	15	of	of	ADP
american_scientific_journal-4934	15	16	consolidation	consolidation	NOUN
american_scientific_journal-4934	15	17	into	into	ADP
american_scientific_journal-4934	15	18	two	two	NUM
american_scientific_journal-4934	15	19	dimensions	dimension	NOUN
american_scientific_journal-4934	15	20	.	.	PUNCT
american_scientific_journal-4934	16	1	also	also	ADV
american_scientific_journal-4934	16	2	,	,	PUNCT
american_scientific_journal-4934	16	3	in	in	ADP
american_scientific_journal-4934	16	4	the	the	DET
american_scientific_journal-4934	16	5	work	work	NOUN
american_scientific_journal-4934	16	6	of	of	ADP
american_scientific_journal-4934	16	7	razouki	razouki	PROPN
american_scientific_journal-4934	16	8	and	and	CCONJ
american_scientific_journal-4934	16	9	his	his	PRON
american_scientific_journal-4934	16	10	colleagues	colleague	NOUN
american_scientific_journal-4934	16	11	[	[	X
american_scientific_journal-4934	16	12	8	8	NUM
american_scientific_journal-4934	16	13	]	]	PUNCT
american_scientific_journal-4934	16	14	,	,	PUNCT
american_scientific_journal-4934	16	15	design	design	NOUN
american_scientific_journal-4934	16	16	charts	chart	NOUN
american_scientific_journal-4934	16	17	for	for	ADP
american_scientific_journal-4934	16	18	the	the	DET
american_scientific_journal-4934	16	19	rate	rate	NOUN
american_scientific_journal-4934	16	20	of	of	ADP
american_scientific_journal-4934	16	21	settlement	settlement	NOUN
american_scientific_journal-4934	16	22	of	of	ADP
american_scientific_journal-4934	16	23	embankments	embankment	NOUN
american_scientific_journal-4934	16	24	on	on	ADP
american_scientific_journal-4934	16	25	soft	soft	ADJ
american_scientific_journal-4934	16	26	soils	soil	NOUN
american_scientific_journal-4934	16	27	on	on	ADP
american_scientific_journal-4934	16	28	the	the	DET
american_scientific_journal-4934	16	29	basis	basis	NOUN
american_scientific_journal-4934	16	30	of	of	ADP
american_scientific_journal-4934	16	31	2d	2d	NUM
american_scientific_journal-4934	16	32	consolidation	consolidation	NOUN
american_scientific_journal-4934	16	33	during	during	ADP
american_scientific_journal-4934	16	34	construction	construction	NOUN
american_scientific_journal-4934	16	35	and	and	CCONJ
american_scientific_journal-4934	16	36	post	post	VERB
american_scientific_journal-4934	16	37	construction	construction	NOUN
american_scientific_journal-4934	16	38	periods	period	NOUN
american_scientific_journal-4934	16	39	were	be	AUX
american_scientific_journal-4934	16	40	developed	develop	VERB
american_scientific_journal-4934	16	41	.	.	PUNCT
american_scientific_journal-4934	17	1	they	they	PRON
american_scientific_journal-4934	17	2	also	also	ADV
american_scientific_journal-4934	17	3	concluded	conclude	VERB
american_scientific_journal-4934	17	4	that	that	SCONJ
american_scientific_journal-4934	17	5	the	the	DET
american_scientific_journal-4934	17	6	post	post	NOUN
american_scientific_journal-4934	17	7	construction	construction	NOUN
american_scientific_journal-4934	17	8	settlement	settlement	NOUN
american_scientific_journal-4934	17	9	becomes	become	VERB
american_scientific_journal-4934	17	10	insignificant	insignificant	ADJ
american_scientific_journal-4934	17	11	for	for	ADP
american_scientific_journal-4934	17	12	relatively	relatively	ADV
american_scientific_journal-4934	17	13	thick	thick	ADJ
american_scientific_journal-4934	17	14	deposit	deposit	NOUN
american_scientific_journal-4934	17	15	with	with	ADP
american_scientific_journal-4934	17	16	permeability	permeability	NOUN
american_scientific_journal-4934	17	17	in	in	ADP
american_scientific_journal-4934	17	18	the	the	DET
american_scientific_journal-4934	17	19	horizontal	horizontal	ADJ
american_scientific_journal-4934	17	20	direction	direction	NOUN
american_scientific_journal-4934	17	21	much	much	ADV
american_scientific_journal-4934	17	22	higher	high	ADJ
american_scientific_journal-4934	17	23	than	than	ADP
american_scientific_journal-4934	17	24	that	that	PRON
american_scientific_journal-4934	17	25	in	in	ADP
american_scientific_journal-4934	17	26	the	the	DET
american_scientific_journal-4934	17	27	vertical	vertical	ADJ
american_scientific_journal-4934	17	28	direction	direction	NOUN
american_scientific_journal-4934	17	29	.	.	PUNCT
american_scientific_journal-4934	18	1	in	in	ADP
american_scientific_journal-4934	18	2	this	this	DET
american_scientific_journal-4934	18	3	research	research	NOUN
american_scientific_journal-4934	18	4	,	,	PUNCT
american_scientific_journal-4934	18	5	an	an	DET
american_scientific_journal-4934	18	6	analytical	analytical	ADJ
american_scientific_journal-4934	18	7	solution	solution	NOUN
american_scientific_journal-4934	18	8	was	be	AUX
american_scientific_journal-4934	18	9	developed	develop	VERB
american_scientific_journal-4934	18	10	herein	herein	NOUN
american_scientific_journal-4934	18	11	to	to	PART
american_scientific_journal-4934	18	12	provide	provide	VERB
american_scientific_journal-4934	18	13	acceptable	acceptable	ADJ
american_scientific_journal-4934	18	14	solutions	solution	NOUN
american_scientific_journal-4934	18	15	for	for	ADP
american_scientific_journal-4934	18	16	a	a	DET
american_scientific_journal-4934	18	17	two	two	NUM
american_scientific_journal-4934	18	18	dimensional	dimensional	ADJ
american_scientific_journal-4934	18	19	consolidation	consolidation	NOUN
american_scientific_journal-4934	18	20	problem	problem	NOUN
american_scientific_journal-4934	18	21	.	.	PUNCT
american_scientific_journal-4934	19	1	2	2	X
american_scientific_journal-4934	19	2	.	.	X
american_scientific_journal-4934	19	3	one	one	NUM
american_scientific_journal-4934	19	4	dimensional	dimensional	ADJ
american_scientific_journal-4934	19	5	analytical	analytical	ADJ
american_scientific_journal-4934	19	6	solution	solution	NOUN
american_scientific_journal-4934	19	7	to	to	ADP
american_scientific_journal-4934	19	8	consolidation	consolidation	NOUN
american_scientific_journal-4934	19	9	equation	equation	NOUN
american_scientific_journal-4934	19	10	the	the	DET
american_scientific_journal-4934	19	11	solution	solution	NOUN
american_scientific_journal-4934	19	12	of	of	ADP
american_scientific_journal-4934	19	13	the	the	DET
american_scientific_journal-4934	19	14	basic	basic	ADJ
american_scientific_journal-4934	19	15	differential	differential	ADJ
american_scientific_journal-4934	19	16	equation	equation	NOUN
american_scientific_journal-4934	19	17	of	of	ADP
american_scientific_journal-4934	19	18	one	one	NUM
american_scientific_journal-4934	19	19	-	-	PUNCT
american_scientific_journal-4934	19	20	dimensional	dimensional	ADJ
american_scientific_journal-4934	19	21	equation	equation	NOUN
american_scientific_journal-4934	19	22	can	can	AUX
american_scientific_journal-4934	19	23	be	be	AUX
american_scientific_journal-4934	19	24	obtained	obtain	VERB
american_scientific_journal-4934	19	25	using	use	VERB
american_scientific_journal-4934	19	26	fourier	fourier	ADJ
american_scientific_journal-4934	19	27	series	series	NOUN
american_scientific_journal-4934	19	28	[	[	X
american_scientific_journal-4934	19	29	1	1	NUM
american_scientific_journal-4934	19	30	]	]	PUNCT
american_scientific_journal-4934	19	31	.	.	PUNCT
american_scientific_journal-4934	20	1	let	let	VERB
american_scientific_journal-4934	20	2	us	we	PRON
american_scientific_journal-4934	20	3	express	express	VERB
american_scientific_journal-4934	20	4	the	the	DET
american_scientific_journal-4934	20	5	hydrostatic	hydrostatic	ADJ
american_scientific_journal-4934	20	6	excess	excess	ADJ
american_scientific_journal-4934	20	7	pressure	pressure	NOUN
american_scientific_journal-4934	20	8	𝑢𝑢	𝑢𝑢	NOUN
american_scientific_journal-4934	20	9	�	�	PROPN
american_scientific_journal-4934	20	10	as	as	ADP
american_scientific_journal-4934	20	11	;	;	PUNCT
american_scientific_journal-4934	20	12	𝑢𝑢	𝑢𝑢	PROPN
american_scientific_journal-4934	20	13	�	�	PROPN
american_scientific_journal-4934	20	14	=	=	SYM
american_scientific_journal-4934	20	15	𝑓𝑓1(𝑧𝑧	𝑓𝑓1(𝑧𝑧	NOUN
american_scientific_journal-4934	20	16	)	)	PUNCT
american_scientific_journal-4934	20	17	∗	∗	NOUN
american_scientific_journal-4934	20	18	𝑓𝑓2(𝑡𝑡	𝑓𝑓2(𝑡𝑡	NOUN
american_scientific_journal-4934	20	19	)	)	PUNCT
american_scientific_journal-4934	20	20	(	(	PUNCT
american_scientific_journal-4934	20	21	1	1	X
american_scientific_journal-4934	20	22	)	)	PUNCT
american_scientific_journal-4934	20	23	where	where	SCONJ
american_scientific_journal-4934	20	24	;	;	PUNCT
american_scientific_journal-4934	20	25	𝑓𝑓1(𝑧𝑧	𝑓𝑓1(𝑧𝑧	NOUN
american_scientific_journal-4934	20	26	)	)	PUNCT
american_scientific_journal-4934	20	27	&	&	CCONJ
american_scientific_journal-4934	20	28	𝑓𝑓2(𝑡𝑡	𝑓𝑓2(𝑡𝑡	PROPN
american_scientific_journal-4934	20	29	)	)	PUNCT
american_scientific_journal-4934	20	30	indicate	indicate	VERB
american_scientific_journal-4934	20	31	some	some	DET
american_scientific_journal-4934	20	32	function	function	NOUN
american_scientific_journal-4934	20	33	of	of	ADP
american_scientific_journal-4934	20	34	z	z	PROPN
american_scientific_journal-4934	20	35	and	and	CCONJ
american_scientific_journal-4934	20	36	t	t	PROPN
american_scientific_journal-4934	20	37	,	,	PUNCT
american_scientific_journal-4934	20	38	respectively	respectively	ADV
american_scientific_journal-4934	20	39	.	.	PUNCT
american_scientific_journal-4934	21	1	substituting	substitute	VERB
american_scientific_journal-4934	21	2	the	the	DET
american_scientific_journal-4934	21	3	above	above	ADJ
american_scientific_journal-4934	21	4	value	value	NOUN
american_scientific_journal-4934	21	5	of	of	ADP
american_scientific_journal-4934	21	6	𝑢𝑢	𝑢𝑢	PRON
american_scientific_journal-4934	21	7	into	into	ADP
american_scientific_journal-4934	21	8	the	the	DET
american_scientific_journal-4934	21	9	consolidation	consolidation	NOUN
american_scientific_journal-4934	21	10	equation	equation	NOUN
american_scientific_journal-4934	21	11	shown	show	VERB
american_scientific_journal-4934	21	12	in	in	ADP
american_scientific_journal-4934	21	13	equation	equation	NOUN
american_scientific_journal-4934	21	14	(	(	PUNCT
american_scientific_journal-4934	21	15	1	1	NUM
american_scientific_journal-4934	21	16	)	)	PUNCT
american_scientific_journal-4934	21	17	𝐶𝐶𝑣𝑣	𝐶𝐶𝑣𝑣	PROPN
american_scientific_journal-4934	21	18	�	�	NOUN
american_scientific_journal-4934	21	19	𝑓𝑓2(𝑡𝑡	𝑓𝑓2(𝑡𝑡	NOUN
american_scientific_journal-4934	21	20	)	)	PUNCT
american_scientific_journal-4934	21	21	𝜕𝜕2	𝜕𝜕2	VERB
american_scientific_journal-4934	21	22	𝜕𝜕𝑧𝑧2	𝜕𝜕𝑧𝑧2	NOUN
american_scientific_journal-4934	22	1	[	[	X
american_scientific_journal-4934	22	2	𝑓𝑓1(𝑧𝑧	𝑓𝑓1(𝑧𝑧	NOUN
american_scientific_journal-4934	22	3	)	)	PUNCT
american_scientific_journal-4934	22	4	]	]	SYM
american_scientific_journal-4934	22	5	�	�	PROPN
american_scientific_journal-4934	22	6	=	=	SYM
american_scientific_journal-4934	22	7	𝑓𝑓1(𝑧𝑧	𝑓𝑓1(𝑧𝑧	NOUN
american_scientific_journal-4934	22	8	)	)	PUNCT
american_scientific_journal-4934	22	9	𝜕𝜕[𝑓𝑓2(𝑡𝑡	𝜕𝜕[𝑓𝑓2(𝑡𝑡	NOUN
american_scientific_journal-4934	22	10	)	)	PUNCT
american_scientific_journal-4934	22	11	]	]	PUNCT
american_scientific_journal-4934	22	12	𝜕𝜕𝑡𝑡	𝜕𝜕𝑡𝑡	PRON
american_scientific_journal-4934	22	13	or	or	CCONJ
american_scientific_journal-4934	22	14	𝜕𝜕2	𝜕𝜕2	DET
american_scientific_journal-4934	22	15	𝜕𝜕𝑧𝑧2	𝜕𝜕𝑧𝑧2	NOUN
american_scientific_journal-4934	22	16	[	[	NOUN
american_scientific_journal-4934	22	17	𝑓𝑓1(𝑧𝑧	𝑓𝑓1(𝑧𝑧	NOUN
american_scientific_journal-4934	22	18	)	)	PUNCT
american_scientific_journal-4934	22	19	]	]	PUNCT
american_scientific_journal-4934	22	20	𝑓𝑓1(𝑧𝑧	𝑓𝑓1(𝑧𝑧	NOUN
american_scientific_journal-4934	22	21	)	)	PUNCT
american_scientific_journal-4934	22	22	=	=	PUNCT
american_scientific_journal-4934	23	1	𝜕𝜕	𝜕𝜕	NOUN
american_scientific_journal-4934	23	2	𝜕𝜕𝑡𝑡	𝜕𝜕𝑡𝑡	PRON
american_scientific_journal-4934	24	1	[	[	X
american_scientific_journal-4934	24	2	𝑓𝑓2(𝑡𝑡	𝑓𝑓2(𝑡𝑡	NOUN
american_scientific_journal-4934	24	3	)	)	PUNCT
american_scientific_journal-4934	24	4	]	]	PUNCT
american_scientific_journal-4934	25	1	𝐶𝐶𝑣𝑣𝑓𝑓2(𝑡𝑡	𝐶𝐶𝑣𝑣𝑓𝑓2(𝑡𝑡	PROPN
american_scientific_journal-4934	25	2	)	)	PUNCT
american_scientific_journal-4934	25	3	the	the	DET
american_scientific_journal-4934	25	4	left	left	ADJ
american_scientific_journal-4934	25	5	-	-	PUNCT
american_scientific_journal-4934	25	6	hand	hand	NOUN
american_scientific_journal-4934	25	7	side	side	NOUN
american_scientific_journal-4934	25	8	of	of	ADP
american_scientific_journal-4934	25	9	the	the	DET
american_scientific_journal-4934	25	10	above	above	ADJ
american_scientific_journal-4934	25	11	equation	equation	NOUN
american_scientific_journal-4934	25	12	is	be	AUX
american_scientific_journal-4934	25	13	a	a	DET
american_scientific_journal-4934	25	14	function	function	NOUN
american_scientific_journal-4934	25	15	of	of	ADP
american_scientific_journal-4934	25	16	z	z	NOUN
american_scientific_journal-4934	25	17	only	only	ADV
american_scientific_journal-4934	25	18	and	and	CCONJ
american_scientific_journal-4934	25	19	the	the	DET
american_scientific_journal-4934	25	20	right	right	ADJ
american_scientific_journal-4934	25	21	-	-	PUNCT
american_scientific_journal-4934	25	22	hand	hand	NOUN
american_scientific_journal-4934	25	23	side	side	NOUN
american_scientific_journal-4934	25	24	is	be	AUX
american_scientific_journal-4934	25	25	a	a	DET
american_scientific_journal-4934	25	26	function	function	NOUN
american_scientific_journal-4934	25	27	of	of	ADP
american_scientific_journal-4934	25	28	t	t	NOUN
american_scientific_journal-4934	25	29	only	only	ADV
american_scientific_journal-4934	25	30	.	.	PUNCT
american_scientific_journal-4934	26	1	in	in	ADP
american_scientific_journal-4934	26	2	order	order	NOUN
american_scientific_journal-4934	26	3	words	word	NOUN
american_scientific_journal-4934	26	4	,	,	PUNCT
american_scientific_journal-4934	26	5	if	if	SCONJ
american_scientific_journal-4934	26	6	the	the	DET
american_scientific_journal-4934	26	7	left	left	ADJ
american_scientific_journal-4934	26	8	-	-	PUNCT
american_scientific_journal-4934	26	9	hand	hand	NOUN
american_scientific_journal-4934	26	10	side	side	NOUN
american_scientific_journal-4934	26	11	is	be	AUX
american_scientific_journal-4934	26	12	equal	equal	ADJ
american_scientific_journal-4934	26	13	to	to	ADP
american_scientific_journal-4934	26	14	some	some	DET
american_scientific_journal-4934	26	15	constant	constant	ADJ
american_scientific_journal-4934	26	16	(	(	PUNCT
american_scientific_journal-4934	26	17	say	say	INTJ
american_scientific_journal-4934	26	18	,	,	PUNCT
american_scientific_journal-4934	26	19	-a2	-a2	VERB
american_scientific_journal-4934	26	20	)	)	PUNCT
american_scientific_journal-4934	26	21	when	when	SCONJ
american_scientific_journal-4934	26	22	t	t	PROPN
american_scientific_journal-4934	26	23	is	be	AUX
american_scientific_journal-4934	26	24	taken	take	VERB
american_scientific_journal-4934	26	25	as	as	ADP
american_scientific_journal-4934	26	26	a	a	DET
american_scientific_journal-4934	26	27	variable	variable	NOUN
american_scientific_journal-4934	26	28	and	and	CCONJ
american_scientific_journal-4934	26	29	the	the	DET
american_scientific_journal-4934	26	30	righthand	righthand	NOUN
american_scientific_journal-4934	26	31	side	side	NOUN
american_scientific_journal-4934	26	32	is	be	AUX
american_scientific_journal-4934	26	33	equal	equal	ADJ
american_scientific_journal-4934	26	34	to	to	ADP
american_scientific_journal-4934	26	35	the	the	DET
american_scientific_journal-4934	26	36	same	same	ADJ
american_scientific_journal-4934	26	37	constant	constant	ADJ
american_scientific_journal-4934	26	38	when	when	SCONJ
american_scientific_journal-4934	26	39	z	z	NOUN
american_scientific_journal-4934	26	40	is	be	AUX
american_scientific_journal-4934	26	41	considered	consider	VERB
american_scientific_journal-4934	26	42	as	as	ADP
american_scientific_journal-4934	26	43	a	a	DET
american_scientific_journal-4934	26	44	variable	variable	NOUN
american_scientific_journal-4934	26	45	.	.	PUNCT
american_scientific_journal-4934	27	1	thus	thus	ADV
american_scientific_journal-4934	27	2	,	,	PUNCT
american_scientific_journal-4934	27	3	𝜕𝜕2	𝜕𝜕2	PUNCT
american_scientific_journal-4934	27	4	𝜕𝜕𝑧𝑧2	𝜕𝜕𝑧𝑧2	NOUN
american_scientific_journal-4934	27	5	[	[	X
american_scientific_journal-4934	27	6	𝑓𝑓1(𝑧𝑧	𝑓𝑓1(𝑧𝑧	NOUN
american_scientific_journal-4934	27	7	)	)	PUNCT
american_scientific_journal-4934	27	8	]	]	PUNCT
american_scientific_journal-4934	28	1	=	=	PUNCT
american_scientific_journal-4934	28	2	−𝐴𝐴2𝑓𝑓1(𝑧𝑧	−𝐴𝐴2𝑓𝑓1(𝑧𝑧	PROPN
american_scientific_journal-4934	28	3	)	)	PUNCT
american_scientific_journal-4934	28	4	and	and	CCONJ
american_scientific_journal-4934	28	5	american	american	ADJ
american_scientific_journal-4934	28	6	scientific	scientific	ADJ
american_scientific_journal-4934	28	7	research	research	NOUN
american_scientific_journal-4934	28	8	journal	journal	NOUN
american_scientific_journal-4934	28	9	for	for	ADP
american_scientific_journal-4934	28	10	engineering	engineering	NOUN
american_scientific_journal-4934	28	11	,	,	PUNCT
american_scientific_journal-4934	28	12	technology	technology	NOUN
american_scientific_journal-4934	28	13	,	,	PUNCT
american_scientific_journal-4934	28	14	and	and	CCONJ
american_scientific_journal-4934	28	15	sciences	science	NOUN
american_scientific_journal-4934	28	16	(	(	PUNCT
american_scientific_journal-4934	28	17	asrjets	asrjet	NOUN
american_scientific_journal-4934	28	18	)	)	PUNCT
american_scientific_journal-4934	28	19	(	(	PUNCT
american_scientific_journal-4934	28	20	2019	2019	NUM
american_scientific_journal-4934	28	21	)	)	PUNCT
american_scientific_journal-4934	28	22	volume	volume	NOUN
american_scientific_journal-4934	28	23	56	56	NUM
american_scientific_journal-4934	28	24	,	,	PUNCT
american_scientific_journal-4934	28	25	no	no	DET
american_scientific_journal-4934	28	26	1	1	NUM
american_scientific_journal-4934	28	27	,	,	PUNCT
american_scientific_journal-4934	28	28	pp	pp	ADV
american_scientific_journal-4934	28	29	218	218	NUM
american_scientific_journal-4934	28	30	-	-	SYM
american_scientific_journal-4934	28	31	229	229	NUM
american_scientific_journal-4934	28	32	220	220	NUM
american_scientific_journal-4934	28	33	𝜕𝜕2	𝜕𝜕2	NOUN
american_scientific_journal-4934	28	34	𝜕𝜕𝑧𝑧2	𝜕𝜕𝑧𝑧2	NOUN
american_scientific_journal-4934	28	35	[	[	X
american_scientific_journal-4934	28	36	𝑓𝑓2(𝑡𝑡	𝑓𝑓2(𝑡𝑡	NOUN
american_scientific_journal-4934	28	37	)	)	PUNCT
american_scientific_journal-4934	28	38	]	]	PUNCT
american_scientific_journal-4934	28	39	=	=	PUNCT
american_scientific_journal-4934	28	40	−𝐴𝐴2𝐶𝐶𝑣𝑣𝑓𝑓2(𝑡𝑡	−𝐴𝐴2𝐶𝐶𝑣𝑣𝑓𝑓2(𝑡𝑡	NOUN
american_scientific_journal-4934	28	41	)	)	PUNCT
american_scientific_journal-4934	28	42	equation	equation	NOUN
american_scientific_journal-4934	28	43	(	(	PUNCT
american_scientific_journal-4934	28	44	1	1	X
american_scientific_journal-4934	28	45	)	)	PUNCT
american_scientific_journal-4934	28	46	has	have	VERB
american_scientific_journal-4934	28	47	the	the	DET
american_scientific_journal-4934	28	48	solution	solution	NOUN
american_scientific_journal-4934	28	49	given	give	VERB
american_scientific_journal-4934	28	50	by	by	ADP
american_scientific_journal-4934	28	51	𝑓𝑓1(𝑧𝑧	𝑓𝑓1(𝑧𝑧	NOUN
american_scientific_journal-4934	28	52	)	)	PUNCT
american_scientific_journal-4934	28	53	=	=	SYM
american_scientific_journal-4934	28	54	𝐶𝐶1𝑐𝑐𝑐𝑐𝑐𝑐𝐴𝐴𝑧𝑧	𝐶𝐶1𝑐𝑐𝑐𝑐𝑐𝑐𝐴𝐴𝑧𝑧	NOUN
american_scientific_journal-4934	28	55	+	+	CCONJ
american_scientific_journal-4934	28	56	𝐶𝐶2	𝐶𝐶2	PROPN
american_scientific_journal-4934	28	57	sin𝐴𝐴𝑧𝑧	sin𝐴𝐴𝑧𝑧	X
american_scientific_journal-4934	28	58	(	(	PUNCT
american_scientific_journal-4934	28	59	2	2	NUM
american_scientific_journal-4934	28	60	)	)	PUNCT
american_scientific_journal-4934	28	61	where	where	SCONJ
american_scientific_journal-4934	28	62	:	:	PUNCT
american_scientific_journal-4934	28	63	𝐶𝐶1	𝐶𝐶1	PROPN
american_scientific_journal-4934	28	64	and	and	CCONJ
american_scientific_journal-4934	28	65	𝐶𝐶2	𝐶𝐶2	PROPN
american_scientific_journal-4934	28	66	are	be	AUX
american_scientific_journal-4934	28	67	constants	constant	NOUN
american_scientific_journal-4934	28	68	of	of	ADP
american_scientific_journal-4934	28	69	integration	integration	NOUN
american_scientific_journal-4934	28	70	e	e	NOUN
american_scientific_journal-4934	28	71	is	be	AUX
american_scientific_journal-4934	28	72	the	the	DET
american_scientific_journal-4934	28	73	base	base	NOUN
american_scientific_journal-4934	28	74	of	of	ADP
american_scientific_journal-4934	28	75	the	the	DET
american_scientific_journal-4934	28	76	hyperbolic	hyperbolic	ADJ
american_scientific_journal-4934	28	77	or	or	CCONJ
american_scientific_journal-4934	28	78	napierian	napierian	ADJ
american_scientific_journal-4934	28	79	logarithm	logarithm	NOUN
american_scientific_journal-4934	28	80	.	.	PUNCT
american_scientific_journal-4934	29	1	substituting	substitute	VERB
american_scientific_journal-4934	29	2	the	the	DET
american_scientific_journal-4934	29	3	above	above	ADJ
american_scientific_journal-4934	29	4	equations	equation	NOUN
american_scientific_journal-4934	29	5	into	into	ADP
american_scientific_journal-4934	29	6	eqn	eqn	NOUN
american_scientific_journal-4934	29	7	.	.	PUNCT
american_scientific_journal-4934	30	1	(	(	PUNCT
american_scientific_journal-4934	30	2	2	2	NUM
american_scientific_journal-4934	30	3	)	)	PUNCT
american_scientific_journal-4934	30	4	,	,	PUNCT
american_scientific_journal-4934	30	5	𝑢𝑢	𝑢𝑢	PROPN
american_scientific_journal-4934	30	6	�	�	PROPN
american_scientific_journal-4934	30	7	=	=	PUNCT
american_scientific_journal-4934	31	1	[	[	X
american_scientific_journal-4934	31	2	𝐶𝐶1𝑐𝑐𝑐𝑐𝑐𝑐𝐴𝐴𝑧𝑧	𝐶𝐶1𝑐𝑐𝑐𝑐𝑐𝑐𝐴𝐴𝑧𝑧	NOUN
american_scientific_journal-4934	31	3	+	+	CCONJ
american_scientific_journal-4934	31	4	𝐶𝐶2	𝐶𝐶2	PROPN
american_scientific_journal-4934	31	5	sin𝐴𝐴𝑧𝑧]𝐶𝐶3𝑒𝑒−𝐴𝐴	sin𝐴𝐴𝑧𝑧]𝐶𝐶3𝑒𝑒−𝐴𝐴	PROPN
american_scientific_journal-4934	31	6	λ2𝐶𝐶𝑣𝑣𝑡𝑡	λ2𝐶𝐶𝑣𝑣𝑡𝑡	PROPN
american_scientific_journal-4934	31	7	𝑢𝑢	𝑢𝑢	X
american_scientific_journal-4934	31	8	�	�	PROPN
american_scientific_journal-4934	31	9	=	=	PUNCT
american_scientific_journal-4934	32	1	[	[	X
american_scientific_journal-4934	32	2	𝐶𝐶4𝑐𝑐𝑐𝑐𝑐𝑐𝐴𝐴𝑧𝑧	𝐶𝐶4𝑐𝑐𝑐𝑐𝑐𝑐𝐴𝐴𝑧𝑧	ADP
american_scientific_journal-4934	32	3	+	+	ADJ
american_scientific_journal-4934	32	4	𝐶𝐶5	𝐶𝐶5	PROPN
american_scientific_journal-4934	32	5	sin𝐴𝐴𝑧𝑧]𝑒𝑒−𝐴𝐴λ2𝐶𝐶𝑣𝑣𝑡𝑡	sin𝐴𝐴𝑧𝑧]𝑒𝑒−𝐴𝐴λ2𝐶𝐶𝑣𝑣𝑡𝑡	PROPN
american_scientific_journal-4934	32	6	(	(	PUNCT
american_scientific_journal-4934	32	7	3	3	NUM
american_scientific_journal-4934	32	8	)	)	PUNCT
american_scientific_journal-4934	32	9	where	where	SCONJ
american_scientific_journal-4934	32	10	:	:	PUNCT
american_scientific_journal-4934	32	11	𝐶𝐶4	𝐶𝐶4	PROPN
american_scientific_journal-4934	32	12	and	and	CCONJ
american_scientific_journal-4934	32	13	𝐶𝐶5	𝐶𝐶5	PROPN
american_scientific_journal-4934	32	14	are	be	AUX
american_scientific_journal-4934	32	15	other	other	ADJ
american_scientific_journal-4934	32	16	constants	constant	NOUN
american_scientific_journal-4934	32	17	,	,	PUNCT
american_scientific_journal-4934	32	18	such	such	ADJ
american_scientific_journal-4934	32	19	that	that	SCONJ
american_scientific_journal-4934	32	20	𝐶𝐶5	𝐶𝐶5	PROPN
american_scientific_journal-4934	32	21	=	=	PUNCT
american_scientific_journal-4934	32	22	𝐶𝐶1𝐶𝐶3	𝐶𝐶1𝐶𝐶3	NOUN
american_scientific_journal-4934	32	23	and	and	CCONJ
american_scientific_journal-4934	32	24	𝐶𝐶5	𝐶𝐶5	PROPN
american_scientific_journal-4934	32	25	=	=	PUNCT
american_scientific_journal-4934	32	26	𝐶𝐶2𝐶𝐶3	𝐶𝐶2𝐶𝐶3	ADV
american_scientific_journal-4934	32	27	the	the	DET
american_scientific_journal-4934	32	28	constants	constant	NOUN
american_scientific_journal-4934	32	29	𝐶𝐶4	𝐶𝐶4	PROPN
american_scientific_journal-4934	32	30	and	and	CCONJ
american_scientific_journal-4934	32	31	𝐶𝐶5	𝐶𝐶5	PROPN
american_scientific_journal-4934	32	32	can	can	AUX
american_scientific_journal-4934	32	33	be	be	AUX
american_scientific_journal-4934	32	34	determined	determine	VERB
american_scientific_journal-4934	32	35	from	from	ADP
american_scientific_journal-4934	32	36	the	the	DET
american_scientific_journal-4934	32	37	boundary	boundary	ADJ
american_scientific_journal-4934	32	38	conditions	condition	NOUN
american_scientific_journal-4934	32	39	:	:	PUNCT
american_scientific_journal-4934	32	40	(	(	PUNCT
american_scientific_journal-4934	32	41	i	i	NOUN
american_scientific_journal-4934	32	42	)	)	PUNCT
american_scientific_journal-4934	32	43	t	t	PROPN
american_scientific_journal-4934	32	44	=	=	SYM
american_scientific_journal-4934	32	45	0	0	NUM
american_scientific_journal-4934	32	46	,	,	PUNCT
american_scientific_journal-4934	32	47	𝑢𝑢	𝑢𝑢	PRON
american_scientific_journal-4934	32	48	�	�	PROPN
american_scientific_journal-4934	32	49	=	=	SYM
american_scientific_journal-4934	32	50	𝑢𝑢	𝑢𝑢	PROPN
american_scientific_journal-4934	32	51	�	�	NOUN
american_scientific_journal-4934	32	52	𝑖𝑖	𝑖𝑖	PROPN
american_scientific_journal-4934	32	53	,	,	PUNCT
american_scientific_journal-4934	32	54	for	for	ADP
american_scientific_journal-4934	32	55	any	any	DET
american_scientific_journal-4934	32	56	value	value	NOUN
american_scientific_journal-4934	32	57	of	of	ADP
american_scientific_journal-4934	32	58	z	z	NOUN
american_scientific_journal-4934	32	59	where	where	SCONJ
american_scientific_journal-4934	32	60	𝑢𝑢	𝑢𝑢	PROPN
american_scientific_journal-4934	32	61	�	�	PROPN
american_scientific_journal-4934	32	62	𝑖𝑖	𝑖𝑖	NOUN
american_scientific_journal-4934	32	63	is	be	AUX
american_scientific_journal-4934	32	64	initial	initial	ADJ
american_scientific_journal-4934	32	65	hydrostatic	hydrostatic	ADJ
american_scientific_journal-4934	32	66	pressure	pressure	NOUN
american_scientific_journal-4934	32	67	(	(	PUNCT
american_scientific_journal-4934	32	68	ii	ii	NOUN
american_scientific_journal-4934	32	69	)	)	PUNCT
american_scientific_journal-4934	32	70	𝑡𝑡	𝑡𝑡	NOUN
american_scientific_journal-4934	32	71	=	=	SYM
american_scientific_journal-4934	32	72	∞	∞	NUM
american_scientific_journal-4934	32	73	𝑢𝑢	𝑢𝑢	PROPN
american_scientific_journal-4934	32	74	�	�	PROPN
american_scientific_journal-4934	32	75	=	=	SYM
american_scientific_journal-4934	32	76	0	0	NUM
american_scientific_journal-4934	32	77	,	,	PUNCT
american_scientific_journal-4934	32	78	for	for	ADP
american_scientific_journal-4934	32	79	any	any	DET
american_scientific_journal-4934	32	80	value	value	NOUN
american_scientific_journal-4934	32	81	of	of	ADP
american_scientific_journal-4934	32	82	z	z	PROPN
american_scientific_journal-4934	32	83	(	(	PUNCT
american_scientific_journal-4934	32	84	iii	iii	NOUN
american_scientific_journal-4934	32	85	)	)	PUNCT
american_scientific_journal-4934	32	86	𝑧𝑧	𝑧𝑧	NOUN
american_scientific_journal-4934	32	87	=	=	SYM
american_scientific_journal-4934	32	88	0	0	NUM
american_scientific_journal-4934	32	89	𝑢𝑢	𝑢𝑢	PROPN
american_scientific_journal-4934	32	90	�	�	PROPN
american_scientific_journal-4934	32	91	=	=	SYM
american_scientific_journal-4934	32	92	0	0	NUM
american_scientific_journal-4934	32	93	,	,	PUNCT
american_scientific_journal-4934	32	94	for	for	ADP
american_scientific_journal-4934	32	95	any	any	DET
american_scientific_journal-4934	32	96	value	value	NOUN
american_scientific_journal-4934	32	97	of	of	ADP
american_scientific_journal-4934	32	98	t	t	PROPN
american_scientific_journal-4934	32	99	(	(	PUNCT
american_scientific_journal-4934	32	100	iv	iv	X
american_scientific_journal-4934	32	101	)	)	PUNCT
american_scientific_journal-4934	32	102	𝑧𝑧	𝑧𝑧	X
american_scientific_journal-4934	32	103	=	=	PUNCT
american_scientific_journal-4934	32	104	𝐻𝐻(=	𝐻𝐻(=	NOUN
american_scientific_journal-4934	32	105	2𝑑𝑑	2𝑑𝑑	NOUN
american_scientific_journal-4934	32	106	)	)	PUNCT
american_scientific_journal-4934	32	107	,	,	PUNCT
american_scientific_journal-4934	32	108	𝑢𝑢	𝑢𝑢	PROPN
american_scientific_journal-4934	32	109	�	�	PROPN
american_scientific_journal-4934	32	110	=	=	SYM
american_scientific_journal-4934	32	111	0	0	NUM
american_scientific_journal-4934	32	112	,	,	PUNCT
american_scientific_journal-4934	32	113	for	for	ADP
american_scientific_journal-4934	32	114	any	any	DET
american_scientific_journal-4934	32	115	value	value	NOUN
american_scientific_journal-4934	32	116	of	of	ADP
american_scientific_journal-4934	32	117	t	t	PROPN
american_scientific_journal-4934	32	118	for	for	ADP
american_scientific_journal-4934	32	119	the	the	DET
american_scientific_journal-4934	32	120	boundary	boundary	ADJ
american_scientific_journal-4934	32	121	condition	condition	NOUN
american_scientific_journal-4934	32	122	(	(	PUNCT
american_scientific_journal-4934	32	123	iii	iii	NOUN
american_scientific_journal-4934	32	124	)	)	PUNCT
american_scientific_journal-4934	32	125	equation	equation	NOUN
american_scientific_journal-4934	32	126	(	(	PUNCT
american_scientific_journal-4934	32	127	3	3	NUM
american_scientific_journal-4934	32	128	)	)	PUNCT
american_scientific_journal-4934	32	129	,	,	PUNCT
american_scientific_journal-4934	32	130	gives	give	VERB
american_scientific_journal-4934	32	131	𝐶𝐶4=	𝐶𝐶4=	PROPN
american_scientific_journal-4934	32	132	0	0	NUM
american_scientific_journal-4934	32	133	.	.	PUNCT
american_scientific_journal-4934	33	1	therefore	therefore	ADV
american_scientific_journal-4934	33	2	equation	equation	NOUN
american_scientific_journal-4934	33	3	.	.	PUNCT
american_scientific_journal-4934	34	1	(	(	PUNCT
american_scientific_journal-4934	34	2	3	3	X
american_scientific_journal-4934	34	3	)	)	PUNCT
american_scientific_journal-4934	34	4	becomes	become	VERB
american_scientific_journal-4934	34	5	𝑢𝑢	𝑢𝑢	ADP
american_scientific_journal-4934	34	6	�	�	PROPN
american_scientific_journal-4934	34	7	=	=	SYM
american_scientific_journal-4934	34	8	𝐶𝐶5	𝐶𝐶5	PROPN
american_scientific_journal-4934	34	9	sin(𝐴𝐴𝑧𝑧)𝑒𝑒−𝐴𝐴λ2𝐶𝐶𝑣𝑣𝑡𝑡	sin(𝐴𝐴𝑧𝑧)𝑒𝑒−𝐴𝐴λ2𝐶𝐶𝑣𝑣𝑡𝑡	PRON
american_scientific_journal-4934	34	10	for	for	ADP
american_scientific_journal-4934	34	11	boundary	boundary	ADJ
american_scientific_journal-4934	34	12	condition	condition	NOUN
american_scientific_journal-4934	34	13	iv	iv	X
american_scientific_journal-4934	34	14	,	,	PUNCT
american_scientific_journal-4934	34	15	𝑢𝑢	𝑢𝑢	PRON
american_scientific_journal-4934	34	16	�	�	PROPN
american_scientific_journal-4934	34	17	=	=	SYM
american_scientific_journal-4934	34	18	0	0	NUM
american_scientific_journal-4934	34	19	at	at	ADP
american_scientific_journal-4934	34	20	𝑧𝑧	𝑧𝑧	PRON
american_scientific_journal-4934	34	21	=	=	VERB
american_scientific_journal-4934	34	22	𝐻𝐻	𝐻𝐻	PROPN
american_scientific_journal-4934	34	23	american	american	ADJ
american_scientific_journal-4934	34	24	scientific	scientific	ADJ
american_scientific_journal-4934	34	25	research	research	NOUN
american_scientific_journal-4934	34	26	journal	journal	NOUN
american_scientific_journal-4934	34	27	for	for	ADP
american_scientific_journal-4934	34	28	engineering	engineering	NOUN
american_scientific_journal-4934	34	29	,	,	PUNCT
american_scientific_journal-4934	34	30	technology	technology	NOUN
american_scientific_journal-4934	34	31	,	,	PUNCT
american_scientific_journal-4934	34	32	and	and	CCONJ
american_scientific_journal-4934	34	33	sciences	science	NOUN
american_scientific_journal-4934	34	34	(	(	PUNCT
american_scientific_journal-4934	34	35	asrjets	asrjet	NOUN
american_scientific_journal-4934	34	36	)	)	PUNCT
american_scientific_journal-4934	34	37	(	(	PUNCT
american_scientific_journal-4934	34	38	2019	2019	NUM
american_scientific_journal-4934	34	39	)	)	PUNCT
american_scientific_journal-4934	34	40	volume	volume	NOUN
american_scientific_journal-4934	34	41	56	56	NUM
american_scientific_journal-4934	34	42	,	,	PUNCT
american_scientific_journal-4934	34	43	no	no	DET
american_scientific_journal-4934	34	44	1	1	NUM
american_scientific_journal-4934	34	45	,	,	PUNCT
american_scientific_journal-4934	34	46	pp	pp	ADV
american_scientific_journal-4934	34	47	218	218	NUM
american_scientific_journal-4934	34	48	-	-	SYM
american_scientific_journal-4934	34	49	229	229	NUM
american_scientific_journal-4934	34	50	221	221	NUM
american_scientific_journal-4934	34	51	therefore	therefore	ADV
american_scientific_journal-4934	34	52	,	,	PUNCT
american_scientific_journal-4934	35	1	𝐶𝐶5	𝐶𝐶5	PROPN
american_scientific_journal-4934	35	2	sin(𝐴𝐴𝑧𝑧)𝑒𝑒−𝐴𝐴λ2𝐶𝐶𝑣𝑣𝑡𝑡	sin(𝐴𝐴𝑧𝑧)𝑒𝑒−𝐴𝐴λ2𝐶𝐶𝑣𝑣𝑡𝑡	PRON
american_scientific_journal-4934	35	3	=	=	PUNCT
american_scientific_journal-4934	35	4	0	0	PROPN
american_scientific_journal-4934	35	5	the	the	DET
american_scientific_journal-4934	35	6	above	above	ADJ
american_scientific_journal-4934	35	7	equation	equation	NOUN
american_scientific_journal-4934	35	8	is	be	AUX
american_scientific_journal-4934	35	9	satisfied	satisfied	ADJ
american_scientific_journal-4934	35	10	if	if	SCONJ
american_scientific_journal-4934	35	11	𝐴𝐴𝐻𝐻	𝐴𝐴𝐻𝐻	NOUN
american_scientific_journal-4934	35	12	=	=	SYM
american_scientific_journal-4934	35	13	𝑛𝑛𝑛𝑛	𝑛𝑛𝑛𝑛	PROPN
american_scientific_journal-4934	35	14	,	,	PUNCT
american_scientific_journal-4934	35	15	where	where	SCONJ
american_scientific_journal-4934	35	16	:	:	PUNCT
american_scientific_journal-4934	35	17	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-4934	35	18	is	be	AUX
american_scientific_journal-4934	35	19	any	any	DET
american_scientific_journal-4934	35	20	integer	integer	NOUN
american_scientific_journal-4934	35	21	.	.	PUNCT
american_scientific_journal-4934	36	1	the	the	DET
american_scientific_journal-4934	36	2	equation	equation	NOUN
american_scientific_journal-4934	36	3	can	can	AUX
american_scientific_journal-4934	36	4	be	be	AUX
american_scientific_journal-4934	36	5	written	write	VERB
american_scientific_journal-4934	36	6	in	in	ADP
american_scientific_journal-4934	36	7	the	the	DET
american_scientific_journal-4934	36	8	following	follow	VERB
american_scientific_journal-4934	36	9	form	form	NOUN
american_scientific_journal-4934	36	10	:	:	PUNCT
american_scientific_journal-4934	36	11	𝑢𝑢	𝑢𝑢	ADP
american_scientific_journal-4934	36	12	=	=	SYM
american_scientific_journal-4934	36	13	𝐵𝐵1	𝐵𝐵1	PROPN
american_scientific_journal-4934	36	14	sin	sin	NOUN
american_scientific_journal-4934	36	15	�	�	PROPN
american_scientific_journal-4934	36	16	𝑛𝑛𝑛𝑛	𝑛𝑛𝑛𝑛	PROPN
american_scientific_journal-4934	36	17	𝐻𝐻	𝐻𝐻	PROPN
american_scientific_journal-4934	36	18	�	�	PROPN
american_scientific_journal-4934	36	19	𝑒𝑒−(𝑝𝑝𝑖𝑖λ2/𝐻𝐻λ2)𝐶𝐶𝑣𝑣𝑡𝑡	𝑒𝑒−(𝑝𝑝𝑖𝑖λ2/𝐻𝐻λ2)𝐶𝐶𝑣𝑣𝑡𝑡	PROPN
american_scientific_journal-4934	36	20	+	+	CCONJ
american_scientific_journal-4934	36	21	𝐵𝐵2	𝐵𝐵2	PROPN
american_scientific_journal-4934	36	22	sin	sin	NOUN
american_scientific_journal-4934	36	23	�	�	PROPN
american_scientific_journal-4934	36	24	2𝑛𝑛𝑧𝑧	2𝑛𝑛𝑧𝑧	NUM
american_scientific_journal-4934	36	25	𝐻𝐻	𝐻𝐻	PROPN
american_scientific_journal-4934	36	26	�	�	PROPN
american_scientific_journal-4934	36	27	𝑒𝑒−(4𝑝𝑝𝑖𝑖λ2/𝐻𝐻λ2)𝐶𝐶𝑣𝑣𝑡𝑡	𝑒𝑒−(4𝑝𝑝𝑖𝑖λ2/𝐻𝐻λ2)𝐶𝐶𝑣𝑣𝑡𝑡	NOUN
american_scientific_journal-4934	36	28	+	+	CCONJ
american_scientific_journal-4934	36	29	…	…	PUNCT
american_scientific_journal-4934	36	30	+	+	CCONJ
american_scientific_journal-4934	36	31	𝐵𝐵𝑛𝑛	𝐵𝐵𝑛𝑛	ADJ
american_scientific_journal-4934	36	32	sin	sin	NOUN
american_scientific_journal-4934	36	33	�	�	PROPN
american_scientific_journal-4934	36	34	𝑛𝑛𝑛𝑛𝑧𝑧	𝑛𝑛𝑛𝑛𝑧𝑧	NOUN
american_scientific_journal-4934	36	35	𝐻𝐻	𝐻𝐻	PROPN
american_scientific_journal-4934	36	36	�	�	PROPN
american_scientific_journal-4934	36	37	𝑒𝑒−𝑛𝑛λ2∗piλ2/𝐻𝐻λ2)𝐶𝐶𝑣𝑣𝑡𝑡	𝑒𝑒−𝑛𝑛λ2∗piλ2/𝐻𝐻λ2)𝐶𝐶𝑣𝑣𝑡𝑡	NOUN
american_scientific_journal-4934	36	38	+	+	X
american_scientific_journal-4934	36	39	…	…	PUNCT
american_scientific_journal-4934	36	40	..	..	PUNCT
american_scientific_journal-4934	36	41	or	or	CCONJ
american_scientific_journal-4934	36	42	𝑢𝑢	𝑢𝑢	PROPN
american_scientific_journal-4934	36	43	=	=	PUNCT
american_scientific_journal-4934	36	44	�	�	PROPN
american_scientific_journal-4934	36	45	𝐵𝐵𝑛𝑛	𝐵𝐵𝑛𝑛	PROPN
american_scientific_journal-4934	36	46	sin	sin	NOUN
american_scientific_journal-4934	36	47	�	�	PROPN
american_scientific_journal-4934	36	48	𝑛𝑛𝑛𝑛𝑧𝑧	𝑛𝑛𝑛𝑛𝑧𝑧	NOUN
american_scientific_journal-4934	36	49	𝐻𝐻	𝐻𝐻	PROPN
american_scientific_journal-4934	36	50	�	�	PROPN
american_scientific_journal-4934	36	51	𝑒𝑒−𝑛𝑛λ2∗piλ2/𝐻𝐻λ2)𝐶𝐶𝑣𝑣𝑡𝑡	𝑒𝑒−𝑛𝑛λ2∗piλ2/𝐻𝐻λ2)𝐶𝐶𝑣𝑣𝑡𝑡	NOUN
american_scientific_journal-4934	36	52	(	(	PUNCT
american_scientific_journal-4934	36	53	4	4	X
american_scientific_journal-4934	36	54	)	)	PUNCT
american_scientific_journal-4934	36	55	𝑛𝑛=∞	𝑛𝑛=∞	NOUN
american_scientific_journal-4934	36	56	𝑛𝑛=1	𝑛𝑛=1	VERB
american_scientific_journal-4934	36	57	where	where	SCONJ
american_scientific_journal-4934	36	58	;	;	PUNCT
american_scientific_journal-4934	36	59	𝐵𝐵1,𝐵𝐵2	𝐵𝐵1,𝐵𝐵2	NOUN
american_scientific_journal-4934	36	60	,	,	PUNCT
american_scientific_journal-4934	36	61	…	…	PUNCT
american_scientific_journal-4934	36	62	…	…	PUNCT
american_scientific_journal-4934	36	63	𝐵𝐵𝑛𝑛	𝐵𝐵𝑛𝑛	PROPN
american_scientific_journal-4934	36	64	are	be	AUX
american_scientific_journal-4934	36	65	constants	constant	NOUN
american_scientific_journal-4934	36	66	.	.	PUNCT
american_scientific_journal-4934	37	1	3	3	X
american_scientific_journal-4934	37	2	.	.	X
american_scientific_journal-4934	37	3	two	two	NUM
american_scientific_journal-4934	37	4	dimensional	dimensional	ADJ
american_scientific_journal-4934	37	5	analytical	analytical	ADJ
american_scientific_journal-4934	37	6	solution	solution	NOUN
american_scientific_journal-4934	37	7	to	to	ADP
american_scientific_journal-4934	37	8	consolidation	consolidation	NOUN
american_scientific_journal-4934	37	9	equation	equation	NOUN
american_scientific_journal-4934	37	10	as	as	SCONJ
american_scientific_journal-4934	37	11	stated	state	VERB
american_scientific_journal-4934	37	12	by	by	ADP
american_scientific_journal-4934	37	13	[	[	X
american_scientific_journal-4934	37	14	1	1	NUM
american_scientific_journal-4934	37	15	]	]	PUNCT
american_scientific_journal-4934	37	16	,	,	PUNCT
american_scientific_journal-4934	37	17	the	the	DET
american_scientific_journal-4934	37	18	governing	govern	VERB
american_scientific_journal-4934	37	19	equation	equation	NOUN
american_scientific_journal-4934	37	20	for	for	ADP
american_scientific_journal-4934	37	21	two	two	NUM
american_scientific_journal-4934	37	22	dimensional	dimensional	ADJ
american_scientific_journal-4934	37	23	consolidations	consolidation	NOUN
american_scientific_journal-4934	37	24	is	be	AUX
american_scientific_journal-4934	37	25	given	give	VERB
american_scientific_journal-4934	37	26	below	below	ADV
american_scientific_journal-4934	37	27	;	;	PUNCT
american_scientific_journal-4934	37	28	𝑚𝑚𝑣𝑣𝛾𝛾𝑤𝑤	𝑚𝑚𝑣𝑣𝛾𝛾𝑤𝑤	VERB
american_scientific_journal-4934	37	29	𝜕𝜕𝑢𝑢	𝜕𝜕𝑢𝑢	NOUN
american_scientific_journal-4934	37	30	�	�	PROPN
american_scientific_journal-4934	37	31	𝜕𝜕𝑡𝑡	𝜕𝜕𝑡𝑡	NUM
american_scientific_journal-4934	37	32	=	=	SYM
american_scientific_journal-4934	37	33	𝑘𝑘𝑥𝑥	𝑘𝑘𝑥𝑥	PROPN
american_scientific_journal-4934	37	34	𝜕𝜕2𝑢𝑢	𝜕𝜕2𝑢𝑢	PROPN
american_scientific_journal-4934	37	35	�	�	PROPN
american_scientific_journal-4934	37	36	𝜕𝜕𝑥𝑥2	𝜕𝜕𝑥𝑥2	ADP
american_scientific_journal-4934	37	37	+	+	CCONJ
american_scientific_journal-4934	37	38	𝑘𝑘𝑧𝑧	𝑘𝑘𝑧𝑧	PROPN
american_scientific_journal-4934	37	39	𝜕𝜕2𝑢𝑢	𝜕𝜕2𝑢𝑢	NOUN
american_scientific_journal-4934	37	40	�	�	PROPN
american_scientific_journal-4934	37	41	𝜕𝜕𝑧𝑧2	𝜕𝜕𝑧𝑧2	NOUN
american_scientific_journal-4934	37	42	(	(	PUNCT
american_scientific_journal-4934	37	43	5	5	NUM
american_scientific_journal-4934	37	44	)	)	PUNCT
american_scientific_journal-4934	37	45	where	where	SCONJ
american_scientific_journal-4934	37	46	𝑘𝑘𝑥𝑥	𝑘𝑘𝑥𝑥	NOUN
american_scientific_journal-4934	37	47	=	=	NOUN
american_scientific_journal-4934	37	48	𝑘𝑘𝑧𝑧	𝑘𝑘𝑧𝑧	PROPN
american_scientific_journal-4934	37	49	=	=	SYM
american_scientific_journal-4934	37	50	𝐾𝐾	𝐾𝐾	PROPN
american_scientific_journal-4934	37	51	,	,	PUNCT
american_scientific_journal-4934	37	52	we	we	PRON
american_scientific_journal-4934	37	53	have	have	VERB
american_scientific_journal-4934	37	54	with	with	ADP
american_scientific_journal-4934	37	55	boundary	boundary	ADJ
american_scientific_journal-4934	37	56	conditions	condition	NOUN
american_scientific_journal-4934	37	57	;	;	PUNCT
american_scientific_journal-4934	38	1	u(0	u(0	PROPN
american_scientific_journal-4934	38	2	,	,	PUNCT
american_scientific_journal-4934	38	3	z	z	PROPN
american_scientific_journal-4934	38	4	,	,	PUNCT
american_scientific_journal-4934	38	5	t	t	PROPN
american_scientific_journal-4934	38	6	)	)	PUNCT
american_scientific_journal-4934	38	7	=	=	SYM
american_scientific_journal-4934	38	8	0	0	NUM
american_scientific_journal-4934	38	9	u(x	u(x	NOUN
american_scientific_journal-4934	38	10	,	,	PUNCT
american_scientific_journal-4934	38	11	0	0	NUM
american_scientific_journal-4934	38	12	,	,	PUNCT
american_scientific_journal-4934	38	13	t	t	PROPN
american_scientific_journal-4934	38	14	)	)	PUNCT
american_scientific_journal-4934	38	15	=	=	SYM
american_scientific_journal-4934	38	16	0	0	NUM
american_scientific_journal-4934	38	17	u(a	u(a	PROPN
american_scientific_journal-4934	38	18	,	,	PUNCT
american_scientific_journal-4934	38	19	z	z	PROPN
american_scientific_journal-4934	38	20	,	,	PUNCT
american_scientific_journal-4934	38	21	t	t	PROPN
american_scientific_journal-4934	38	22	)	)	PUNCT
american_scientific_journal-4934	38	23	=	=	SYM
american_scientific_journal-4934	38	24	0	0	NUM
american_scientific_journal-4934	38	25	u(x	u(x	PROPN
american_scientific_journal-4934	38	26	,	,	PUNCT
american_scientific_journal-4934	38	27	b	b	NOUN
american_scientific_journal-4934	38	28	,	,	PUNCT
american_scientific_journal-4934	38	29	t	t	PROPN
american_scientific_journal-4934	38	30	)	)	PUNCT
american_scientific_journal-4934	38	31	=	=	SYM
american_scientific_journal-4934	38	32	0	0	NUM
american_scientific_journal-4934	38	33	american	american	ADJ
american_scientific_journal-4934	38	34	scientific	scientific	ADJ
american_scientific_journal-4934	38	35	research	research	NOUN
american_scientific_journal-4934	38	36	journal	journal	NOUN
american_scientific_journal-4934	38	37	for	for	ADP
american_scientific_journal-4934	38	38	engineering	engineering	NOUN
american_scientific_journal-4934	38	39	,	,	PUNCT
american_scientific_journal-4934	38	40	technology	technology	NOUN
american_scientific_journal-4934	38	41	,	,	PUNCT
american_scientific_journal-4934	38	42	and	and	CCONJ
american_scientific_journal-4934	38	43	sciences	science	NOUN
american_scientific_journal-4934	38	44	(	(	PUNCT
american_scientific_journal-4934	38	45	asrjets	asrjet	NOUN
american_scientific_journal-4934	38	46	)	)	PUNCT
american_scientific_journal-4934	38	47	(	(	PUNCT
american_scientific_journal-4934	38	48	2019	2019	NUM
american_scientific_journal-4934	38	49	)	)	PUNCT
american_scientific_journal-4934	38	50	volume	volume	NOUN
american_scientific_journal-4934	38	51	56	56	NUM
american_scientific_journal-4934	38	52	,	,	PUNCT
american_scientific_journal-4934	38	53	no	no	DET
american_scientific_journal-4934	38	54	1	1	NUM
american_scientific_journal-4934	38	55	,	,	PUNCT
american_scientific_journal-4934	38	56	pp	pp	ADV
american_scientific_journal-4934	38	57	218	218	NUM
american_scientific_journal-4934	38	58	-	-	SYM
american_scientific_journal-4934	38	59	229	229	NUM
american_scientific_journal-4934	38	60	222	222	NUM
american_scientific_journal-4934	38	61	and	and	CCONJ
american_scientific_journal-4934	38	62	initial	initial	ADJ
american_scientific_journal-4934	38	63	condition	condition	NOUN
american_scientific_journal-4934	38	64	𝑈𝑈(𝑥𝑥	𝑈𝑈(𝑥𝑥	NUM
american_scientific_journal-4934	38	65	,	,	PUNCT
american_scientific_journal-4934	38	66	𝑧𝑧	𝑧𝑧	ADP
american_scientific_journal-4934	38	67	,	,	PUNCT
american_scientific_journal-4934	38	68	0	0	NUM
american_scientific_journal-4934	38	69	)	)	PUNCT
american_scientific_journal-4934	38	70	=	=	NOUN
american_scientific_journal-4934	38	71	100	100	NUM
american_scientific_journal-4934	38	72	using	use	VERB
american_scientific_journal-4934	38	73	the	the	DET
american_scientific_journal-4934	38	74	separation	separation	NOUN
american_scientific_journal-4934	38	75	of	of	ADP
american_scientific_journal-4934	38	76	variables	variable	NOUN
american_scientific_journal-4934	38	77	method	method	NOUN
american_scientific_journal-4934	38	78	,	,	PUNCT
american_scientific_journal-4934	38	79	let	let	VERB
american_scientific_journal-4934	38	80	equation	equation	NOUN
american_scientific_journal-4934	38	81	(	(	PUNCT
american_scientific_journal-4934	38	82	5	5	X
american_scientific_journal-4934	38	83	)	)	PUNCT
american_scientific_journal-4934	38	84	be	be	AUX
american_scientific_journal-4934	38	85	written	write	VERB
american_scientific_journal-4934	38	86	in	in	ADP
american_scientific_journal-4934	38	87	the	the	DET
american_scientific_journal-4934	38	88	form	form	NOUN
american_scientific_journal-4934	38	89	of	of	ADP
american_scientific_journal-4934	38	90	𝑈𝑈(𝑥𝑥	𝑈𝑈(𝑥𝑥	PROPN
american_scientific_journal-4934	38	91	,	,	PUNCT
american_scientific_journal-4934	38	92	𝑧𝑧	𝑧𝑧	NOUN
american_scientific_journal-4934	38	93	,	,	PUNCT
american_scientific_journal-4934	38	94	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-4934	38	95	)	)	PUNCT
american_scientific_journal-4934	38	96	=	=	SYM
american_scientific_journal-4934	38	97	0	0	NUM
american_scientific_journal-4934	39	1	𝑤𝑤(𝑥𝑥	𝑤𝑤(𝑥𝑥	PROPN
american_scientific_journal-4934	39	2	,	,	PUNCT
american_scientific_journal-4934	39	3	𝑧𝑧	𝑧𝑧	NOUN
american_scientific_journal-4934	39	4	)	)	PUNCT
american_scientific_journal-4934	39	5	𝜏𝜏(𝑡𝑡	𝜏𝜏(𝑡𝑡	NOUN
american_scientific_journal-4934	39	6	)	)	PUNCT
american_scientific_journal-4934	39	7	and	and	CCONJ
american_scientific_journal-4934	39	8	rearranged	rearrange	VERB
american_scientific_journal-4934	39	9	,	,	PUNCT
american_scientific_journal-4934	39	10	we	we	PRON
american_scientific_journal-4934	39	11	have	have	AUX
american_scientific_journal-4934	39	12	𝜕𝜕2𝑤𝑤	𝜕𝜕2𝑤𝑤	VERB
american_scientific_journal-4934	39	13	𝜕𝜕𝑥𝑥2	𝜕𝜕𝑥𝑥2	ADV
american_scientific_journal-4934	39	14	+	+	CCONJ
american_scientific_journal-4934	39	15	𝜕𝜕2𝑤𝑤	𝜕𝜕2𝑤𝑤	VERB
american_scientific_journal-4934	39	16	𝜕𝜕𝑧𝑧2	𝜕𝜕𝑧𝑧2	NOUN
american_scientific_journal-4934	39	17	𝑤𝑤	𝑤𝑤	NOUN
american_scientific_journal-4934	39	18	=	=	PUNCT
american_scientific_journal-4934	39	19	𝜏𝜏′	𝜏𝜏′	NOUN
american_scientific_journal-4934	39	20	𝜏𝜏	𝜏𝜏	ADP
american_scientific_journal-4934	39	21	�	�	PROPN
american_scientific_journal-4934	39	22	𝑚𝑚𝑣𝑣𝛾𝛾𝑤𝑤	𝑚𝑚𝑣𝑣𝛾𝛾𝑤𝑤	VERB
american_scientific_journal-4934	39	23	𝐾𝐾	𝐾𝐾	PROPN
american_scientific_journal-4934	39	24	�	�	PROPN
american_scientific_journal-4934	39	25	for	for	ADP
american_scientific_journal-4934	39	26	a	a	DET
american_scientific_journal-4934	39	27	function	function	NOUN
american_scientific_journal-4934	39	28	of	of	ADP
american_scientific_journal-4934	39	29	x	x	X
american_scientific_journal-4934	39	30	and	and	CCONJ
american_scientific_journal-4934	39	31	z	z	NOUN
american_scientific_journal-4934	39	32	to	to	PART
american_scientific_journal-4934	39	33	be	be	AUX
american_scientific_journal-4934	39	34	identically	identically	ADV
american_scientific_journal-4934	39	35	equal	equal	ADJ
american_scientific_journal-4934	39	36	to	to	ADP
american_scientific_journal-4934	39	37	a	a	DET
american_scientific_journal-4934	39	38	function	function	NOUN
american_scientific_journal-4934	39	39	of	of	ADP
american_scientific_journal-4934	39	40	t	t	PROPN
american_scientific_journal-4934	39	41	for	for	ADP
american_scientific_journal-4934	39	42	all	all	DET
american_scientific_journal-4934	39	43	x	x	NOUN
american_scientific_journal-4934	39	44	,	,	PUNCT
american_scientific_journal-4934	39	45	z	z	PROPN
american_scientific_journal-4934	39	46	and	and	CCONJ
american_scientific_journal-4934	39	47	t	t	PROPN
american_scientific_journal-4934	39	48	,	,	PUNCT
american_scientific_journal-4934	39	49	both	both	DET
american_scientific_journal-4934	39	50	sides	side	NOUN
american_scientific_journal-4934	39	51	of	of	ADP
american_scientific_journal-4934	39	52	this	this	DET
american_scientific_journal-4934	39	53	equation	equation	NOUN
american_scientific_journal-4934	39	54	must	must	AUX
american_scientific_journal-4934	39	55	be	be	AUX
american_scientific_journal-4934	39	56	equal	equal	ADJ
american_scientific_journal-4934	39	57	to	to	ADP
american_scientific_journal-4934	39	58	a	a	DET
american_scientific_journal-4934	39	59	constant	constant	ADJ
american_scientific_journal-4934	39	60	.	.	PUNCT
american_scientific_journal-4934	40	1	for	for	SCONJ
american_scientific_journal-4934	40	2	it	it	PRON
american_scientific_journal-4934	40	3	to	to	PART
american_scientific_journal-4934	40	4	decay	decay	VERB
american_scientific_journal-4934	40	5	in	in	ADP
american_scientific_journal-4934	40	6	time	time	NOUN
american_scientific_journal-4934	40	7	,	,	PUNCT
american_scientific_journal-4934	40	8	we	we	PRON
american_scientific_journal-4934	40	9	should	should	AUX
american_scientific_journal-4934	40	10	anticipate	anticipate	VERB
american_scientific_journal-4934	40	11	a	a	DET
american_scientific_journal-4934	40	12	negative	negative	ADJ
american_scientific_journal-4934	40	13	separation	separation	NOUN
american_scientific_journal-4934	40	14	constant	constant	ADJ
american_scientific_journal-4934	40	15	.	.	PUNCT
american_scientific_journal-4934	41	1	𝜕𝜕2𝑤𝑤	𝜕𝜕2𝑤𝑤	VERB
american_scientific_journal-4934	41	2	𝜕𝜕𝑥𝑥2	𝜕𝜕𝑥𝑥2	ADV
american_scientific_journal-4934	41	3	+	+	CCONJ
american_scientific_journal-4934	41	4	𝜕𝜕2𝑤𝑤	𝜕𝜕2𝑤𝑤	ADJ
american_scientific_journal-4934	41	5	𝜕𝜕𝑧𝑧2	𝜕𝜕𝑧𝑧2	NOUN
american_scientific_journal-4934	41	6	𝑤𝑤	𝑤𝑤	NOUN
american_scientific_journal-4934	41	7	=	=	PUNCT
american_scientific_journal-4934	41	8	𝜏𝜏′	𝜏𝜏′	NOUN
american_scientific_journal-4934	41	9	𝜏𝜏	𝜏𝜏	ADP
american_scientific_journal-4934	41	10	�	�	PROPN
american_scientific_journal-4934	41	11	𝑚𝑚𝑣𝑣𝛾𝛾𝑤𝑤	𝑚𝑚𝑣𝑣𝛾𝛾𝑤𝑤	VERB
american_scientific_journal-4934	41	12	𝐾𝐾	𝐾𝐾	PROPN
american_scientific_journal-4934	41	13	�	�	PROPN
american_scientific_journal-4934	41	14	=	=	SYM
american_scientific_journal-4934	41	15	−∝2	−∝2	X
american_scientific_journal-4934	41	16	(	(	PUNCT
american_scientific_journal-4934	41	17	6	6	NUM
american_scientific_journal-4934	41	18	)	)	PUNCT
american_scientific_journal-4934	41	19	equation	equation	NOUN
american_scientific_journal-4934	41	20	(	(	PUNCT
american_scientific_journal-4934	41	21	6	6	NUM
american_scientific_journal-4934	41	22	)	)	PUNCT
american_scientific_journal-4934	41	23	can	can	AUX
american_scientific_journal-4934	41	24	be	be	AUX
american_scientific_journal-4934	41	25	separated	separate	VERB
american_scientific_journal-4934	41	26	into	into	ADP
american_scientific_journal-4934	41	27	space	space	NOUN
american_scientific_journal-4934	41	28	and	and	CCONJ
american_scientific_journal-4934	41	29	time	time	NOUN
american_scientific_journal-4934	41	30	for	for	ADP
american_scientific_journal-4934	41	31	time	time	NOUN
american_scientific_journal-4934	41	32	we	we	PRON
american_scientific_journal-4934	41	33	have	have	VERB
american_scientific_journal-4934	41	34	;	;	PUNCT
american_scientific_journal-4934	41	35	𝜏𝜏′	𝜏𝜏′	NOUN
american_scientific_journal-4934	41	36	+	+	CCONJ
american_scientific_journal-4934	41	37	𝜏𝜏𝐻𝐻	𝜏𝜏𝐻𝐻	NUM
american_scientific_journal-4934	41	38	∝2=	∝2=	NOUN
american_scientific_journal-4934	41	39	0	0	NUM
american_scientific_journal-4934	41	40	(	(	PUNCT
american_scientific_journal-4934	41	41	7	7	NUM
american_scientific_journal-4934	41	42	)	)	PUNCT
american_scientific_journal-4934	41	43	where	where	SCONJ
american_scientific_journal-4934	41	44	;	;	PUNCT
american_scientific_journal-4934	41	45	𝐻𝐻	𝐻𝐻	PROPN
american_scientific_journal-4934	41	46	=	=	SYM
american_scientific_journal-4934	41	47	𝑘𝑘	𝑘𝑘	NOUN
american_scientific_journal-4934	41	48	𝑚𝑚𝑣𝑣𝛾𝛾𝑤𝑤	𝑚𝑚𝑣𝑣𝛾𝛾𝑤𝑤	VERB
american_scientific_journal-4934	41	49	for	for	ADP
american_scientific_journal-4934	41	50	space	space	NOUN
american_scientific_journal-4934	41	51	,	,	PUNCT
american_scientific_journal-4934	41	52	we	we	PRON
american_scientific_journal-4934	41	53	obtain	obtain	VERB
american_scientific_journal-4934	41	54	;	;	PUNCT
american_scientific_journal-4934	41	55	𝜕𝜕2𝑤𝑤	𝜕𝜕2𝑤𝑤	ADJ
american_scientific_journal-4934	41	56	𝜕𝜕𝑥𝑥2	𝜕𝜕𝑥𝑥2	ADV
american_scientific_journal-4934	41	57	+	+	CCONJ
american_scientific_journal-4934	41	58	𝜕𝜕2𝑤𝑤	𝜕𝜕2𝑤𝑤	ADJ
american_scientific_journal-4934	41	59	𝜕𝜕𝑧𝑧2	𝜕𝜕𝑧𝑧2	NOUN
american_scientific_journal-4934	41	60	+	+	NOUN
american_scientific_journal-4934	41	61	∝2	∝2	NOUN
american_scientific_journal-4934	41	62	𝑤𝑤	𝑤𝑤	NOUN
american_scientific_journal-4934	41	63	=	=	SYM
american_scientific_journal-4934	41	64	0	0	PUNCT
american_scientific_journal-4934	41	65	and	and	CCONJ
american_scientific_journal-4934	41	66	can	can	AUX
american_scientific_journal-4934	41	67	be	be	AUX
american_scientific_journal-4934	41	68	further	far	ADV
american_scientific_journal-4934	41	69	separated	separate	VERB
american_scientific_journal-4934	41	70	into	into	ADP
american_scientific_journal-4934	41	71	the	the	DET
american_scientific_journal-4934	41	72	product	product	NOUN
american_scientific_journal-4934	41	73	;	;	PUNCT
american_scientific_journal-4934	41	74	𝑤𝑤(𝑥𝑥	𝑤𝑤(𝑥𝑥	PROPN
american_scientific_journal-4934	41	75	,	,	PUNCT
american_scientific_journal-4934	41	76	𝑧𝑧	𝑧𝑧	NOUN
american_scientific_journal-4934	41	77	)	)	PUNCT
american_scientific_journal-4934	41	78	=	=	SYM
american_scientific_journal-4934	41	79	𝑋𝑋(𝑥𝑥	𝑋𝑋(𝑥𝑥	PROPN
american_scientific_journal-4934	41	80	)	)	PUNCT
american_scientific_journal-4934	41	81	𝑍𝑍(𝑧𝑧	𝑍𝑍(𝑧𝑧	PROPN
american_scientific_journal-4934	41	82	)	)	PUNCT
american_scientific_journal-4934	41	83	and	and	CCONJ
american_scientific_journal-4934	41	84	dividing	divide	VERB
american_scientific_journal-4934	41	85	through	through	ADP
american_scientific_journal-4934	41	86	by	by	ADP
american_scientific_journal-4934	41	87	xz	xz	PROPN
american_scientific_journal-4934	41	88	,	,	PUNCT
american_scientific_journal-4934	41	89	we	we	PRON
american_scientific_journal-4934	41	90	have	have	VERB
american_scientific_journal-4934	41	91	;	;	PUNCT
american_scientific_journal-4934	42	1	american	american	ADJ
american_scientific_journal-4934	42	2	scientific	scientific	ADJ
american_scientific_journal-4934	42	3	research	research	NOUN
american_scientific_journal-4934	42	4	journal	journal	NOUN
american_scientific_journal-4934	42	5	for	for	ADP
american_scientific_journal-4934	42	6	engineering	engineering	NOUN
american_scientific_journal-4934	42	7	,	,	PUNCT
american_scientific_journal-4934	42	8	technology	technology	NOUN
american_scientific_journal-4934	42	9	,	,	PUNCT
american_scientific_journal-4934	42	10	and	and	CCONJ
american_scientific_journal-4934	42	11	sciences	science	NOUN
american_scientific_journal-4934	42	12	(	(	PUNCT
american_scientific_journal-4934	42	13	asrjets	asrjet	NOUN
american_scientific_journal-4934	42	14	)	)	PUNCT
american_scientific_journal-4934	42	15	(	(	PUNCT
american_scientific_journal-4934	42	16	2019	2019	NUM
american_scientific_journal-4934	42	17	)	)	PUNCT
american_scientific_journal-4934	42	18	volume	volume	NOUN
american_scientific_journal-4934	42	19	56	56	NUM
american_scientific_journal-4934	42	20	,	,	PUNCT
american_scientific_journal-4934	42	21	no	no	DET
american_scientific_journal-4934	42	22	1	1	NUM
american_scientific_journal-4934	42	23	,	,	PUNCT
american_scientific_journal-4934	42	24	pp	pp	ADV
american_scientific_journal-4934	42	25	218	218	NUM
american_scientific_journal-4934	42	26	-	-	SYM
american_scientific_journal-4934	42	27	229	229	NUM
american_scientific_journal-4934	42	28	223	223	NUM
american_scientific_journal-4934	42	29	𝑋𝑋′′	𝑋𝑋′′	NOUN
american_scientific_journal-4934	42	30	𝑋𝑋	𝑋𝑋	PROPN
american_scientific_journal-4934	42	31	=	=	SYM
american_scientific_journal-4934	42	32	−𝑍𝑍′′	−𝑍𝑍′′	NOUN
american_scientific_journal-4934	42	33	𝑍𝑍	𝑍𝑍	PROPN
american_scientific_journal-4934	42	34	−∝2=	−∝2=	NOUN
american_scientific_journal-4934	42	35	𝛽𝛽2	𝛽𝛽2	NOUN
american_scientific_journal-4934	42	36	(	(	PUNCT
american_scientific_journal-4934	42	37	8)	8)	NUM
american_scientific_journal-4934	42	38	where	where	SCONJ
american_scientific_journal-4934	42	39	:	:	PUNCT
american_scientific_journal-4934	42	40	𝜕𝜕2𝑋𝑋	𝜕𝜕2𝑋𝑋	VERB
american_scientific_journal-4934	42	41	𝜕𝜕𝑥𝑥2	𝜕𝜕𝑥𝑥2	ADP
american_scientific_journal-4934	42	42	=	=	SYM
american_scientific_journal-4934	42	43	𝑋𝑋′′	𝑋𝑋′′	NOUN
american_scientific_journal-4934	42	44	𝜕𝜕2𝑍𝑍	𝜕𝜕2𝑍𝑍	NOUN
american_scientific_journal-4934	42	45	𝜕𝜕𝑧𝑧2	𝜕𝜕𝑧𝑧2	X
american_scientific_journal-4934	42	46	=	=	PUNCT
american_scientific_journal-4934	42	47	𝑍𝑍′′	𝑍𝑍′′	ADP
american_scientific_journal-4934	42	48	𝛽𝛽2	𝛽𝛽2	NOUN
american_scientific_journal-4934	42	49	is	be	AUX
american_scientific_journal-4934	42	50	the	the	DET
american_scientific_journal-4934	42	51	second	second	ADJ
american_scientific_journal-4934	42	52	separation	separation	NOUN
american_scientific_journal-4934	42	53	constant	constant	ADJ
american_scientific_journal-4934	42	54	and	and	CCONJ
american_scientific_journal-4934	42	55	the	the	DET
american_scientific_journal-4934	42	56	sign	sign	NOUN
american_scientific_journal-4934	42	57	associated	associate	VERB
american_scientific_journal-4934	42	58	with	with	ADP
american_scientific_journal-4934	42	59	𝛽𝛽2	𝛽𝛽2	NOUN
american_scientific_journal-4934	42	60	remains	remain	VERB
american_scientific_journal-4934	42	61	to	to	PART
american_scientific_journal-4934	42	62	be	be	AUX
american_scientific_journal-4934	42	63	verified	verify	VERB
american_scientific_journal-4934	42	64	.	.	PUNCT
american_scientific_journal-4934	43	1	thus	thus	ADV
american_scientific_journal-4934	43	2	;	;	PUNCT
american_scientific_journal-4934	43	3	𝑋𝑋′′	𝑋𝑋′′	PROPN
american_scientific_journal-4934	43	4	−	−	PROPN
american_scientific_journal-4934	43	5	𝛽𝛽2𝑋𝑋	𝛽𝛽2𝑋𝑋	PROPN
american_scientific_journal-4934	43	6	=	=	SYM
american_scientific_journal-4934	43	7	0	0	NUM
american_scientific_journal-4934	43	8	(	(	PUNCT
american_scientific_journal-4934	43	9	9	9	NUM
american_scientific_journal-4934	43	10	)	)	PUNCT
american_scientific_journal-4934	43	11	𝑍𝑍′′	𝑍𝑍′′	NOUN
american_scientific_journal-4934	43	12	+	+	CCONJ
american_scientific_journal-4934	43	13	(	(	PUNCT
american_scientific_journal-4934	43	14	∝2	∝2	NOUN
american_scientific_journal-4934	43	15	+	+	NOUN
american_scientific_journal-4934	43	16	𝛽𝛽2)𝑍𝑍	𝛽𝛽2)𝑍𝑍	ADJ
american_scientific_journal-4934	43	17	=	=	SYM
american_scientific_journal-4934	43	18	0	0	NUM
american_scientific_journal-4934	43	19	(	(	PUNCT
american_scientific_journal-4934	43	20	10	10	NUM
american_scientific_journal-4934	43	21	)	)	PUNCT
american_scientific_journal-4934	43	22	from	from	ADP
american_scientific_journal-4934	43	23	the	the	DET
american_scientific_journal-4934	43	24	boundary	boundary	ADJ
american_scientific_journal-4934	43	25	conditions	condition	NOUN
american_scientific_journal-4934	43	26	,	,	PUNCT
american_scientific_journal-4934	43	27	we	we	PRON
american_scientific_journal-4934	43	28	have	have	VERB
american_scientific_journal-4934	43	29	;	;	PUNCT
american_scientific_journal-4934	43	30	𝑋𝑋(0	𝑋𝑋(0	NOUN
american_scientific_journal-4934	43	31	)	)	PUNCT
american_scientific_journal-4934	43	32	=	=	SYM
american_scientific_journal-4934	44	1	𝑋𝑋(𝑎𝑎	𝑋𝑋(𝑎𝑎	PROPN
american_scientific_journal-4934	44	2	)	)	PUNCT
american_scientific_journal-4934	44	3	=	=	SYM
american_scientific_journal-4934	44	4	0	0	PUNCT
american_scientific_journal-4934	44	5	𝑍𝑍(0	𝑍𝑍(0	NOUN
american_scientific_journal-4934	44	6	)	)	PUNCT
american_scientific_journal-4934	44	7	=	=	SYM
american_scientific_journal-4934	44	8	𝑍𝑍(𝑏𝑏	𝑍𝑍(𝑏𝑏	PROPN
american_scientific_journal-4934	44	9	)	)	PUNCT
american_scientific_journal-4934	44	10	=	=	SYM
american_scientific_journal-4934	44	11	0	0	NUM
american_scientific_journal-4934	45	1	the	the	DET
american_scientific_journal-4934	45	2	general	general	ADJ
american_scientific_journal-4934	45	3	solution	solution	NOUN
american_scientific_journal-4934	45	4	of	of	ADP
american_scientific_journal-4934	45	5	equation	equation	NOUN
american_scientific_journal-4934	45	6	(	(	PUNCT
american_scientific_journal-4934	45	7	9	9	NUM
american_scientific_journal-4934	45	8	)	)	PUNCT
american_scientific_journal-4934	45	9	is	be	AUX
american_scientific_journal-4934	45	10	;	;	PUNCT
american_scientific_journal-4934	45	11	𝑋𝑋(𝑥𝑥	𝑋𝑋(𝑥𝑥	NOUN
american_scientific_journal-4934	45	12	)	)	PUNCT
american_scientific_journal-4934	46	1	=	=	PUNCT
american_scientific_journal-4934	46	2	𝐴𝐴𝐴𝐴𝐴𝐴𝑛𝑛ℎ	𝐴𝐴𝐴𝐴𝐴𝐴𝑛𝑛ℎ	ADP
american_scientific_journal-4934	46	3	𝛽𝛽𝑥𝑥	𝛽𝛽𝑥𝑥	NOUN
american_scientific_journal-4934	46	4	+	+	CCONJ
american_scientific_journal-4934	46	5	𝐵𝐵𝑐𝑐𝑐𝑐𝑐𝑐ℎ𝛽𝛽𝑥𝑥	𝐵𝐵𝑐𝑐𝑐𝑐𝑐𝑐ℎ𝛽𝛽𝑥𝑥	PROPN
american_scientific_journal-4934	46	6	(	(	PUNCT
american_scientific_journal-4934	46	7	11	11	NUM
american_scientific_journal-4934	46	8	)	)	PUNCT
american_scientific_journal-4934	46	9	applying	apply	VERB
american_scientific_journal-4934	46	10	the	the	DET
american_scientific_journal-4934	46	11	boundary	boundary	ADJ
american_scientific_journal-4934	46	12	conditions	condition	NOUN
american_scientific_journal-4934	46	13	,	,	PUNCT
american_scientific_journal-4934	46	14	when	when	SCONJ
american_scientific_journal-4934	46	15	;	;	PUNCT
american_scientific_journal-4934	46	16	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	46	17	=	=	SYM
american_scientific_journal-4934	46	18	0	0	NUM
american_scientific_journal-4934	46	19	,	,	PUNCT
american_scientific_journal-4934	46	20	𝐵𝐵	𝐵𝐵	PROPN
american_scientific_journal-4934	46	21	=	=	SYM
american_scientific_journal-4934	46	22	0	0	NUM
american_scientific_journal-4934	46	23	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	46	24	=	=	NOUN
american_scientific_journal-4934	46	25	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-4934	46	26	,	,	PUNCT
american_scientific_journal-4934	46	27	0	0	NUM
american_scientific_journal-4934	46	28	=	=	SYM
american_scientific_journal-4934	46	29	𝐴𝐴	𝐴𝐴	PROPN
american_scientific_journal-4934	46	30	sinh	sinh	NOUN
american_scientific_journal-4934	46	31	(	(	PUNCT
american_scientific_journal-4934	46	32	𝛽𝛽.	𝛽𝛽.	ADV
american_scientific_journal-4934	46	33	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-4934	46	34	)	)	PUNCT
american_scientific_journal-4934	46	35	implies	imply	VERB
american_scientific_journal-4934	46	36	that	that	SCONJ
american_scientific_journal-4934	46	37	𝑋𝑋(𝑥𝑥	𝑋𝑋(𝑥𝑥	NOUN
american_scientific_journal-4934	46	38	)	)	PUNCT
american_scientific_journal-4934	46	39	=	=	SYM
american_scientific_journal-4934	46	40	0	0	NUM
american_scientific_journal-4934	46	41	𝑎𝑎𝑛𝑛𝑑𝑑	𝑎𝑎𝑛𝑛𝑑𝑑	NOUN
american_scientific_journal-4934	46	42	𝑈𝑈(𝑥𝑥	𝑈𝑈(𝑥𝑥	NUM
american_scientific_journal-4934	46	43	,	,	PUNCT
american_scientific_journal-4934	46	44	𝑧𝑧	𝑧𝑧	NOUN
american_scientific_journal-4934	46	45	,	,	PUNCT
american_scientific_journal-4934	46	46	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-4934	46	47	)	)	PUNCT
american_scientific_journal-4934	46	48	=	=	SYM
american_scientific_journal-4934	46	49	0	0	PUNCT
american_scientific_journal-4934	47	1	since	since	SCONJ
american_scientific_journal-4934	47	2	u=0	u=0	PRON
american_scientific_journal-4934	47	3	does	do	AUX
american_scientific_journal-4934	47	4	not	not	PART
american_scientific_journal-4934	47	5	satisfy	satisfy	VERB
american_scientific_journal-4934	47	6	the	the	DET
american_scientific_journal-4934	47	7	initial	initial	ADJ
american_scientific_journal-4934	47	8	time	time	NOUN
american_scientific_journal-4934	47	9	condition	condition	NOUN
american_scientific_journal-4934	47	10	,	,	PUNCT
american_scientific_journal-4934	47	11	we	we	PRON
american_scientific_journal-4934	47	12	conclude	conclude	VERB
american_scientific_journal-4934	47	13	that	that	SCONJ
american_scientific_journal-4934	47	14	the	the	DET
american_scientific_journal-4934	47	15	sign	sign	NOUN
american_scientific_journal-4934	47	16	of	of	ADP
american_scientific_journal-4934	47	17	the	the	DET
american_scientific_journal-4934	47	18	second	second	ADJ
american_scientific_journal-4934	47	19	separation	separation	NOUN
american_scientific_journal-4934	47	20	constant	constant	ADJ
american_scientific_journal-4934	47	21	was	be	AUX
american_scientific_journal-4934	47	22	not	not	PART
american_scientific_journal-4934	47	23	chosen	choose	VERB
american_scientific_journal-4934	47	24	correctly	correctly	ADV
american_scientific_journal-4934	47	25	.	.	PUNCT
american_scientific_journal-4934	48	1	if	if	SCONJ
american_scientific_journal-4934	48	2	we	we	PRON
american_scientific_journal-4934	48	3	replace	replace	VERB
american_scientific_journal-4934	48	4	𝛽𝛽2	𝛽𝛽2	NOUN
american_scientific_journal-4934	48	5	with	with	ADP
american_scientific_journal-4934	48	6	−𝛽𝛽2	−𝛽𝛽2	PROPN
american_scientific_journal-4934	48	7	,	,	PUNCT
american_scientific_journal-4934	48	8	then	then	ADV
american_scientific_journal-4934	48	9	the	the	DET
american_scientific_journal-4934	48	10	separated	separated	ADJ
american_scientific_journal-4934	48	11	ordinary	ordinary	ADJ
american_scientific_journal-4934	48	12	differential	differential	ADJ
american_scientific_journal-4934	48	13	equation	equation	NOUN
american_scientific_journal-4934	48	14	becomes	become	VERB
american_scientific_journal-4934	48	15	american	american	ADJ
american_scientific_journal-4934	48	16	scientific	scientific	ADJ
american_scientific_journal-4934	48	17	research	research	NOUN
american_scientific_journal-4934	48	18	journal	journal	NOUN
american_scientific_journal-4934	48	19	for	for	ADP
american_scientific_journal-4934	48	20	engineering	engineering	NOUN
american_scientific_journal-4934	48	21	,	,	PUNCT
american_scientific_journal-4934	48	22	technology	technology	NOUN
american_scientific_journal-4934	48	23	,	,	PUNCT
american_scientific_journal-4934	48	24	and	and	CCONJ
american_scientific_journal-4934	48	25	sciences	science	NOUN
american_scientific_journal-4934	48	26	(	(	PUNCT
american_scientific_journal-4934	48	27	asrjets	asrjet	NOUN
american_scientific_journal-4934	48	28	)	)	PUNCT
american_scientific_journal-4934	48	29	(	(	PUNCT
american_scientific_journal-4934	48	30	2019	2019	NUM
american_scientific_journal-4934	48	31	)	)	PUNCT
american_scientific_journal-4934	48	32	volume	volume	NOUN
american_scientific_journal-4934	48	33	56	56	NUM
american_scientific_journal-4934	48	34	,	,	PUNCT
american_scientific_journal-4934	48	35	no	no	DET
american_scientific_journal-4934	48	36	1	1	NUM
american_scientific_journal-4934	48	37	,	,	PUNCT
american_scientific_journal-4934	48	38	pp	pp	ADV
american_scientific_journal-4934	48	39	218	218	NUM
american_scientific_journal-4934	48	40	-	-	SYM
american_scientific_journal-4934	48	41	229	229	NUM
american_scientific_journal-4934	48	42	224	224	NUM
american_scientific_journal-4934	48	43	𝒙𝒙′′	𝒙𝒙′′	NOUN
american_scientific_journal-4934	49	1	+	+	CCONJ
american_scientific_journal-4934	49	2	𝛽𝛽2𝑥𝑥	𝛽𝛽2𝑥𝑥	NUM
american_scientific_journal-4934	49	3	=	=	SYM
american_scientific_journal-4934	49	4	0	0	NUM
american_scientific_journal-4934	49	5	𝒛𝒛′′	𝒛𝒛′′	PROPN
american_scientific_journal-4934	49	6	+	+	CCONJ
american_scientific_journal-4934	49	7	(	(	PUNCT
american_scientific_journal-4934	49	8	∝𝟐𝟐−	∝𝟐𝟐−	X
american_scientific_journal-4934	49	9	𝛽𝛽2)𝑍𝑍	𝛽𝛽2)𝑍𝑍	ADJ
american_scientific_journal-4934	49	10	=	=	SYM
american_scientific_journal-4934	49	11	0	0	NUM
american_scientific_journal-4934	49	12	𝑋𝑋(𝑥𝑥	𝑋𝑋(𝑥𝑥	NOUN
american_scientific_journal-4934	49	13	)	)	PUNCT
american_scientific_journal-4934	50	1	=	=	SYM
american_scientific_journal-4934	50	2	𝐴𝐴𝑐𝑐𝐴𝐴𝑛𝑛𝛽𝛽𝑥𝑥	𝐴𝐴𝑐𝑐𝐴𝐴𝑛𝑛𝛽𝛽𝑥𝑥	PROPN
american_scientific_journal-4934	51	1	+	+	CCONJ
american_scientific_journal-4934	51	2	𝐵𝐵𝑐𝑐𝑐𝑐𝑐𝑐𝛽𝛽𝑥𝑥	𝐵𝐵𝑐𝑐𝑐𝑐𝑐𝑐𝛽𝛽𝑥𝑥	PROPN
american_scientific_journal-4934	51	3	from	from	ADP
american_scientific_journal-4934	51	4	applying	apply	VERB
american_scientific_journal-4934	51	5	the	the	DET
american_scientific_journal-4934	51	6	boundary	boundary	ADJ
american_scientific_journal-4934	51	7	conditions	condition	NOUN
american_scientific_journal-4934	51	8	,	,	PUNCT
american_scientific_journal-4934	51	9	we	we	PRON
american_scientific_journal-4934	51	10	have	have	VERB
american_scientific_journal-4934	51	11	,	,	PUNCT
american_scientific_journal-4934	51	12	𝐵𝐵	𝐵𝐵	PROPN
american_scientific_journal-4934	51	13	=	=	SYM
american_scientific_journal-4934	51	14	0	0	NUM
american_scientific_journal-4934	51	15	𝑎𝑎𝑛𝑛𝑑𝑑	𝑎𝑎𝑛𝑛𝑑𝑑	VERB
american_scientific_journal-4934	51	16	sin𝛽𝛽𝑎𝑎	sin𝛽𝛽𝑎𝑎	ADJ
american_scientific_journal-4934	51	17	=	=	SYM
american_scientific_journal-4934	51	18	0	0	NUM
american_scientific_journal-4934	51	19	𝛽𝛽𝑎𝑎	𝛽𝛽𝑎𝑎	NOUN
american_scientific_journal-4934	51	20	=	=	PUNCT
american_scientific_journal-4934	51	21	𝑚𝑚𝑛𝑛	𝑚𝑚𝑛𝑛	NOUN
american_scientific_journal-4934	51	22	𝛽𝛽	𝛽𝛽	ADP
american_scientific_journal-4934	51	23	=	=	SYM
american_scientific_journal-4934	51	24	𝑚𝑚𝑛𝑛	𝑚𝑚𝑛𝑛	NOUN
american_scientific_journal-4934	51	25	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	51	26	where	where	SCONJ
american_scientific_journal-4934	51	27	;	;	PUNCT
american_scientific_journal-4934	51	28	𝑚𝑚=1	𝑚𝑚=1	X
american_scientific_journal-4934	51	29	,	,	PUNCT
american_scientific_journal-4934	51	30	2	2	NUM
american_scientific_journal-4934	51	31	,	,	PUNCT
american_scientific_journal-4934	51	32	3	3	NUM
american_scientific_journal-4934	51	33	,	,	PUNCT
american_scientific_journal-4934	51	34	4	4	NUM
american_scientific_journal-4934	51	35	,	,	PUNCT
american_scientific_journal-4934	51	36	5	5	NUM
american_scientific_journal-4934	51	37	.........	.........	PUNCT
american_scientific_journal-4934	51	38	therefore	therefore	ADV
american_scientific_journal-4934	51	39	,	,	PUNCT
american_scientific_journal-4934	51	40	equation	equation	NOUN
american_scientific_journal-4934	51	41	(	(	PUNCT
american_scientific_journal-4934	51	42	11	11	NUM
american_scientific_journal-4934	51	43	)	)	PUNCT
american_scientific_journal-4934	51	44	becomes	become	VERB
american_scientific_journal-4934	51	45	;	;	PUNCT
american_scientific_journal-4934	51	46	𝑋𝑋(𝑥𝑥	𝑋𝑋(𝑥𝑥	NOUN
american_scientific_journal-4934	51	47	)	)	PUNCT
american_scientific_journal-4934	52	1	=	=	SYM
american_scientific_journal-4934	52	2	𝐴𝐴𝑐𝑐𝐴𝐴𝑛𝑛	𝐴𝐴𝑐𝑐𝐴𝐴𝑛𝑛	NOUN
american_scientific_journal-4934	52	3	�	�	PROPN
american_scientific_journal-4934	52	4	𝑚𝑚𝑛𝑛	𝑚𝑚𝑛𝑛	NOUN
american_scientific_journal-4934	52	5	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	52	6	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	52	7	�	�	PROPN
american_scientific_journal-4934	52	8	(	(	PUNCT
american_scientific_journal-4934	52	9	12	12	NUM
american_scientific_journal-4934	52	10	)	)	PUNCT
american_scientific_journal-4934	52	11	the	the	DET
american_scientific_journal-4934	52	12	general	general	ADJ
american_scientific_journal-4934	52	13	solution	solution	NOUN
american_scientific_journal-4934	52	14	of	of	ADP
american_scientific_journal-4934	52	15	equation	equation	NOUN
american_scientific_journal-4934	52	16	(	(	PUNCT
american_scientific_journal-4934	52	17	10	10	NUM
american_scientific_journal-4934	52	18	)	)	PUNCT
american_scientific_journal-4934	52	19	is	be	AUX
american_scientific_journal-4934	52	20	𝑍𝑍(𝑧𝑧	𝑍𝑍(𝑧𝑧	NOUN
american_scientific_journal-4934	52	21	)	)	PUNCT
american_scientific_journal-4934	53	1	=	=	SYM
american_scientific_journal-4934	53	2	c	c	NOUN
american_scientific_journal-4934	53	3	sin(𝑌𝑌𝑍𝑍	sin(𝑌𝑌𝑍𝑍	X
american_scientific_journal-4934	53	4	)	)	PUNCT
american_scientific_journal-4934	54	1	+	+	CCONJ
american_scientific_journal-4934	54	2	𝐷𝐷	𝐷𝐷	PROPN
american_scientific_journal-4934	54	3	cos(𝑌𝑌𝑍𝑍	cos(𝑌𝑌𝑍𝑍	NOUN
american_scientific_journal-4934	54	4	)	)	PUNCT
american_scientific_journal-4934	54	5	from	from	ADP
american_scientific_journal-4934	54	6	the	the	DET
american_scientific_journal-4934	54	7	boundary	boundary	ADJ
american_scientific_journal-4934	54	8	conditions	condition	NOUN
american_scientific_journal-4934	54	9	,	,	PUNCT
american_scientific_journal-4934	54	10	d	d	NOUN
american_scientific_journal-4934	54	11	=	=	SYM
american_scientific_journal-4934	54	12	0	0	NUM
american_scientific_journal-4934	54	13	sin	sin	NOUN
american_scientific_journal-4934	54	14	(	(	PUNCT
american_scientific_journal-4934	54	15	yb	yb	PROPN
american_scientific_journal-4934	54	16	)	)	PUNCT
american_scientific_journal-4934	54	17	=	=	SYM
american_scientific_journal-4934	54	18	0	0	PUNCT
american_scientific_journal-4934	55	1	thus	thus	ADV
american_scientific_journal-4934	55	2	;	;	PUNCT
american_scientific_journal-4934	55	3	𝑌𝑌𝑏𝑏	𝑌𝑌𝑏𝑏	PROPN
american_scientific_journal-4934	55	4	=	=	X
american_scientific_journal-4934	55	5	𝑛𝑛𝑛𝑛	𝑛𝑛𝑛𝑛	NOUN
american_scientific_journal-4934	55	6	𝑌𝑌	𝑌𝑌	PROPN
american_scientific_journal-4934	55	7	=	=	SYM
american_scientific_journal-4934	55	8	𝑛𝑛𝑛𝑛	𝑛𝑛𝑛𝑛	NOUN
american_scientific_journal-4934	55	9	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	55	10	where	where	SCONJ
american_scientific_journal-4934	55	11	;	;	PUNCT
american_scientific_journal-4934	55	12	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-4934	55	13	=	=	SYM
american_scientific_journal-4934	55	14	1	1	NUM
american_scientific_journal-4934	55	15	,	,	PUNCT
american_scientific_journal-4934	55	16	2	2	NUM
american_scientific_journal-4934	55	17	,	,	PUNCT
american_scientific_journal-4934	55	18	3	3	NUM
american_scientific_journal-4934	55	19	,	,	PUNCT
american_scientific_journal-4934	55	20	.......	.......	PUNCT
american_scientific_journal-4934	55	21	therefore	therefore	ADV
american_scientific_journal-4934	55	22	;	;	PUNCT
american_scientific_journal-4934	55	23	𝑍𝑍(𝑧𝑧	𝑍𝑍(𝑧𝑧	X
american_scientific_journal-4934	55	24	)	)	PUNCT
american_scientific_journal-4934	55	25	=	=	SYM
american_scientific_journal-4934	55	26	𝐶𝐶	𝐶𝐶	PROPN
american_scientific_journal-4934	55	27	sin	sin	NOUN
american_scientific_journal-4934	55	28	�	�	PROPN
american_scientific_journal-4934	55	29	𝑛𝑛𝑛𝑛	𝑛𝑛𝑛𝑛	NOUN
american_scientific_journal-4934	55	30	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	55	31	𝑍𝑍	𝑍𝑍	PROPN
american_scientific_journal-4934	55	32	�	�	PROPN
american_scientific_journal-4934	55	33	(	(	PUNCT
american_scientific_journal-4934	55	34	13	13	NUM
american_scientific_journal-4934	55	35	)	)	PUNCT
american_scientific_journal-4934	55	36	american	american	ADJ
american_scientific_journal-4934	55	37	scientific	scientific	ADJ
american_scientific_journal-4934	55	38	research	research	NOUN
american_scientific_journal-4934	55	39	journal	journal	NOUN
american_scientific_journal-4934	55	40	for	for	ADP
american_scientific_journal-4934	55	41	engineering	engineering	NOUN
american_scientific_journal-4934	55	42	,	,	PUNCT
american_scientific_journal-4934	55	43	technology	technology	NOUN
american_scientific_journal-4934	55	44	,	,	PUNCT
american_scientific_journal-4934	55	45	and	and	CCONJ
american_scientific_journal-4934	55	46	sciences	science	NOUN
american_scientific_journal-4934	55	47	(	(	PUNCT
american_scientific_journal-4934	55	48	asrjets	asrjet	NOUN
american_scientific_journal-4934	55	49	)	)	PUNCT
american_scientific_journal-4934	55	50	(	(	PUNCT
american_scientific_journal-4934	55	51	2019	2019	NUM
american_scientific_journal-4934	55	52	)	)	PUNCT
american_scientific_journal-4934	55	53	volume	volume	NOUN
american_scientific_journal-4934	55	54	56	56	NUM
american_scientific_journal-4934	55	55	,	,	PUNCT
american_scientific_journal-4934	55	56	no	no	DET
american_scientific_journal-4934	55	57	1	1	NUM
american_scientific_journal-4934	55	58	,	,	PUNCT
american_scientific_journal-4934	55	59	pp	pp	ADV
american_scientific_journal-4934	55	60	218	218	NUM
american_scientific_journal-4934	55	61	-	-	SYM
american_scientific_journal-4934	55	62	229	229	NUM
american_scientific_journal-4934	55	63	225	225	NUM
american_scientific_journal-4934	55	64	the	the	DET
american_scientific_journal-4934	55	65	solution	solution	NOUN
american_scientific_journal-4934	55	66	for	for	ADP
american_scientific_journal-4934	55	67	equation	equation	NOUN
american_scientific_journal-4934	55	68	(	(	PUNCT
american_scientific_journal-4934	55	69	7	7	X
american_scientific_journal-4934	55	70	)	)	PUNCT
american_scientific_journal-4934	55	71	is	be	AUX
american_scientific_journal-4934	55	72	𝜏𝜏(𝑡𝑡	𝜏𝜏(𝑡𝑡	NOUN
american_scientific_journal-4934	55	73	)	)	PUNCT
american_scientific_journal-4934	56	1	=	=	SYM
american_scientific_journal-4934	56	2	𝑒𝑒−𝐻𝐻∝2𝑡𝑡	𝑒𝑒−𝐻𝐻∝2𝑡𝑡	PROPN
american_scientific_journal-4934	56	3	(	(	PUNCT
american_scientific_journal-4934	56	4	14	14	NUM
american_scientific_journal-4934	56	5	)	)	PUNCT
american_scientific_journal-4934	56	6	let	let	VERB
american_scientific_journal-4934	56	7	;	;	PUNCT
american_scientific_journal-4934	56	8	∝𝟐𝟐=	∝𝟐𝟐=	PROPN
american_scientific_journal-4934	56	9	𝛽𝛽2	𝛽𝛽2	NOUN
american_scientific_journal-4934	56	10	+	+	ADP
american_scientific_journal-4934	56	11	𝑦𝑦2	𝑦𝑦2	ADV
american_scientific_journal-4934	56	12	applying	apply	VERB
american_scientific_journal-4934	56	13	this	this	PRON
american_scientific_journal-4934	56	14	to	to	ADP
american_scientific_journal-4934	56	15	equation	equation	NOUN
american_scientific_journal-4934	56	16	(	(	PUNCT
american_scientific_journal-4934	56	17	10	10	NUM
american_scientific_journal-4934	56	18	)	)	PUNCT
american_scientific_journal-4934	56	19	,	,	PUNCT
american_scientific_journal-4934	56	20	we	we	PRON
american_scientific_journal-4934	56	21	have	have	VERB
american_scientific_journal-4934	56	22	that	that	PRON
american_scientific_journal-4934	56	23	;	;	PUNCT
american_scientific_journal-4934	56	24	∝𝟐𝟐=	∝𝟐𝟐=	PROPN
american_scientific_journal-4934	56	25	𝛽𝛽2	𝛽𝛽2	NOUN
american_scientific_journal-4934	56	26	+	+	ADP
american_scientific_journal-4934	56	27	𝑦𝑦2	𝑦𝑦2	ADJ
american_scientific_journal-4934	56	28	=	=	SYM
american_scientific_journal-4934	56	29	�	�	PROPN
american_scientific_journal-4934	56	30	𝑚𝑚𝑛𝑛	𝑚𝑚𝑛𝑛	NOUN
american_scientific_journal-4934	56	31	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	56	32	�	�	PROPN
american_scientific_journal-4934	56	33	2	2	NUM
american_scientific_journal-4934	56	34	+	+	CCONJ
american_scientific_journal-4934	56	35	�	�	PROPN
american_scientific_journal-4934	56	36	𝑛𝑛𝑛𝑛	𝑛𝑛𝑛𝑛	NOUN
american_scientific_journal-4934	56	37	𝑏𝑏	𝑏𝑏	PROPN
american_scientific_journal-4934	56	38	�	�	PROPN
american_scientific_journal-4934	56	39	2	2	NUM
american_scientific_journal-4934	56	40	the	the	DET
american_scientific_journal-4934	56	41	three	three	NUM
american_scientific_journal-4934	56	42	solutions	solution	NOUN
american_scientific_journal-4934	56	43	of	of	ADP
american_scientific_journal-4934	56	44	equation	equation	NOUN
american_scientific_journal-4934	56	45	(	(	PUNCT
american_scientific_journal-4934	56	46	12	12	NUM
american_scientific_journal-4934	56	47	)	)	PUNCT
american_scientific_journal-4934	56	48	,	,	PUNCT
american_scientific_journal-4934	56	49	(	(	PUNCT
american_scientific_journal-4934	56	50	13	13	NUM
american_scientific_journal-4934	56	51	)	)	PUNCT
american_scientific_journal-4934	56	52	,	,	PUNCT
american_scientific_journal-4934	56	53	(	(	PUNCT
american_scientific_journal-4934	56	54	14	14	NUM
american_scientific_journal-4934	56	55	)	)	PUNCT
american_scientific_journal-4934	56	56	can	can	AUX
american_scientific_journal-4934	56	57	now	now	ADV
american_scientific_journal-4934	56	58	be	be	AUX
american_scientific_journal-4934	56	59	combined	combine	VERB
american_scientific_journal-4934	56	60	to	to	PART
american_scientific_journal-4934	56	61	yield	yield	VERB
american_scientific_journal-4934	56	62	𝑈𝑈(𝑥𝑥	𝑈𝑈(𝑥𝑥	PROPN
american_scientific_journal-4934	56	63	,	,	PUNCT
american_scientific_journal-4934	56	64	𝑧𝑧	𝑧𝑧	NOUN
american_scientific_journal-4934	56	65	,	,	PUNCT
american_scientific_journal-4934	56	66	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-4934	56	67	)	)	PUNCT
american_scientific_journal-4934	56	68	=	=	SYM
american_scientific_journal-4934	56	69	𝑋𝑋(𝑥𝑥)𝑍𝑍(𝑧𝑧	𝑋𝑋(𝑥𝑥)𝑍𝑍(𝑧𝑧	NOUN
american_scientific_journal-4934	56	70	)	)	PUNCT
american_scientific_journal-4934	56	71	𝜏𝜏(𝑡𝑡	𝜏𝜏(𝑡𝑡	NOUN
american_scientific_journal-4934	56	72	)	)	PUNCT
american_scientific_journal-4934	57	1	=	=	SYM
american_scientific_journal-4934	57	2	𝐴𝐴𝐶𝐶	𝐴𝐴𝐶𝐶	PROPN
american_scientific_journal-4934	57	3	sin	sin	NOUN
american_scientific_journal-4934	57	4	�	�	PROPN
american_scientific_journal-4934	57	5	𝑚𝑚𝑛𝑛	𝑚𝑚𝑛𝑛	NOUN
american_scientific_journal-4934	57	6	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	57	7	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	57	8	�	�	PROPN
american_scientific_journal-4934	57	9	sin	sin	NOUN
american_scientific_journal-4934	57	10	�	�	PROPN
american_scientific_journal-4934	57	11	𝑛𝑛𝑛𝑛	𝑛𝑛𝑛𝑛	NOUN
american_scientific_journal-4934	57	12	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	57	13	𝑍𝑍	𝑍𝑍	PROPN
american_scientific_journal-4934	57	14	�	�	PROPN
american_scientific_journal-4934	57	15	𝑒𝑒−𝐻𝐻∝2𝑡𝑡	𝑒𝑒−𝐻𝐻∝2𝑡𝑡	PROPN
american_scientific_journal-4934	57	16	𝑈𝑈(𝑥𝑥	𝑈𝑈(𝑥𝑥	PROPN
american_scientific_journal-4934	57	17	,	,	PUNCT
american_scientific_journal-4934	57	18	𝑧𝑧	𝑧𝑧	NOUN
american_scientific_journal-4934	57	19	,	,	PUNCT
american_scientific_journal-4934	57	20	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-4934	57	21	)	)	PUNCT
american_scientific_journal-4934	57	22	=	=	PUNCT
american_scientific_journal-4934	57	23	𝐸𝐸𝑐𝑐𝐴𝐴𝑛𝑛	𝐸𝐸𝑐𝑐𝐴𝐴𝑛𝑛	ADJ
american_scientific_journal-4934	57	24	�	�	PROPN
american_scientific_journal-4934	57	25	𝑚𝑚𝑛𝑛	𝑚𝑚𝑛𝑛	NOUN
american_scientific_journal-4934	57	26	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	57	27	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	57	28	�	�	PROPN
american_scientific_journal-4934	57	29	.	.	PUNCT
american_scientific_journal-4934	58	1	sin	sin	PROPN
american_scientific_journal-4934	58	2	�	�	PROPN
american_scientific_journal-4934	58	3	𝑛𝑛𝑛𝑛	𝑛𝑛𝑛𝑛	PROPN
american_scientific_journal-4934	58	4	𝑏𝑏	𝑏𝑏	PROPN
american_scientific_journal-4934	58	5	𝑧𝑧	𝑧𝑧	PROPN
american_scientific_journal-4934	58	6	�	�	PROPN
american_scientific_journal-4934	58	7	𝑒𝑒−𝐻𝐻	𝑒𝑒−𝐻𝐻	PROPN
american_scientific_journal-4934	58	8	�	�	PROPN
american_scientific_journal-4934	58	9	�	�	PROPN
american_scientific_journal-4934	58	10	∪𝜋𝜋	∪𝜋𝜋	PROPN
american_scientific_journal-4934	58	11	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	58	12	�	�	PROPN
american_scientific_journal-4934	58	13	2	2	NUM
american_scientific_journal-4934	58	14	+	+	NOUN
american_scientific_journal-4934	58	15	�	�	NOUN
american_scientific_journal-4934	58	16	𝑛𝑛𝑎𝑎𝑏𝑏	𝑛𝑛𝑎𝑎𝑏𝑏	NOUN
american_scientific_journal-4934	58	17	�	�	PROPN
american_scientific_journal-4934	58	18	2	2	NUM
american_scientific_journal-4934	58	19	�	�	PROPN
american_scientific_journal-4934	58	20	𝑡𝑡	𝑡𝑡	PROPN
american_scientific_journal-4934	58	21	where	where	SCONJ
american_scientific_journal-4934	58	22	;	;	PUNCT
american_scientific_journal-4934	58	23	𝐸𝐸	𝐸𝐸	PROPN
american_scientific_journal-4934	58	24	=	=	PUNCT
american_scientific_journal-4934	58	25	𝐴𝐴𝐶𝐶	𝐴𝐴𝐶𝐶	PROPN
american_scientific_journal-4934	58	26	to	to	PART
american_scientific_journal-4934	58	27	satisfy	satisfy	VERB
american_scientific_journal-4934	58	28	the	the	DET
american_scientific_journal-4934	58	29	time	time	NOUN
american_scientific_journal-4934	58	30	condition	condition	NOUN
american_scientific_journal-4934	58	31	a	a	DET
american_scientific_journal-4934	58	32	linear	linear	ADJ
american_scientific_journal-4934	58	33	combination	combination	NOUN
american_scientific_journal-4934	58	34	for	for	ADP
american_scientific_journal-4934	58	35	all	all	DET
american_scientific_journal-4934	58	36	positive	positive	ADJ
american_scientific_journal-4934	58	37	integers	integer	NOUN
american_scientific_journal-4934	58	38	of	of	ADP
american_scientific_journal-4934	58	39	m	m	PROPN
american_scientific_journal-4934	58	40	and	and	CCONJ
american_scientific_journal-4934	58	41	n	n	PROPN
american_scientific_journal-4934	58	42	is	be	AUX
american_scientific_journal-4934	58	43	required	require	VERB
american_scientific_journal-4934	58	44	.	.	PUNCT
american_scientific_journal-4934	59	1	𝑈𝑈(𝑥𝑥	𝑈𝑈(𝑥𝑥	NUM
american_scientific_journal-4934	59	2	,	,	PUNCT
american_scientific_journal-4934	59	3	𝑧𝑧	𝑧𝑧	NOUN
american_scientific_journal-4934	59	4	,	,	PUNCT
american_scientific_journal-4934	59	5	𝑡𝑡	𝑡𝑡	ADJ
american_scientific_journal-4934	59	6	)	)	PUNCT
american_scientific_journal-4934	59	7	=	=	SYM
american_scientific_journal-4934	59	8	�	�	PROPN
american_scientific_journal-4934	59	9	�	�	PROPN
american_scientific_journal-4934	59	10	𝐸𝐸𝑚𝑚𝑛𝑛𝑐𝑐𝐴𝐴𝑛𝑛	𝐸𝐸𝑚𝑚𝑛𝑛𝑐𝑐𝐴𝐴𝑛𝑛	NOUN
american_scientific_journal-4934	59	11	�	�	PROPN
american_scientific_journal-4934	59	12	𝑚𝑚𝑛𝑛	𝑚𝑚𝑛𝑛	NOUN
american_scientific_journal-4934	59	13	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	59	14	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	59	15	�	�	PROPN
american_scientific_journal-4934	59	16	.	.	PUNCT
american_scientific_journal-4934	60	1	sin	sin	PROPN
american_scientific_journal-4934	60	2	�	�	PROPN
american_scientific_journal-4934	60	3	𝑛𝑛𝑛𝑛	𝑛𝑛𝑛𝑛	PROPN
american_scientific_journal-4934	60	4	𝑏𝑏	𝑏𝑏	PROPN
american_scientific_journal-4934	60	5	𝑧𝑧	𝑧𝑧	PROPN
american_scientific_journal-4934	60	6	�	�	PROPN
american_scientific_journal-4934	60	7	𝑒𝑒−𝐻𝐻	𝑒𝑒−𝐻𝐻	PROPN
american_scientific_journal-4934	60	8	�	�	PROPN
american_scientific_journal-4934	60	9	�	�	PROPN
american_scientific_journal-4934	60	10	∪𝜋𝜋	∪𝜋𝜋	PROPN
american_scientific_journal-4934	60	11	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	60	12	�	�	PROPN
american_scientific_journal-4934	60	13	2	2	NUM
american_scientific_journal-4934	60	14	+	+	NOUN
american_scientific_journal-4934	60	15	�	�	NOUN
american_scientific_journal-4934	60	16	𝑛𝑛𝑎𝑎𝑏𝑏	𝑛𝑛𝑎𝑎𝑏𝑏	NOUN
american_scientific_journal-4934	60	17	�	�	PROPN
american_scientific_journal-4934	60	18	2	2	NUM
american_scientific_journal-4934	60	19	�	�	PROPN
american_scientific_journal-4934	60	20	𝑡𝑡	𝑡𝑡	PROPN
american_scientific_journal-4934	60	21	(	(	PUNCT
american_scientific_journal-4934	60	22	15	15	NUM
american_scientific_journal-4934	60	23	)	)	PUNCT
american_scientific_journal-4934	60	24	∞	∞	NUM
american_scientific_journal-4934	60	25	𝑛𝑛=1	𝑛𝑛=1	NOUN
american_scientific_journal-4934	60	26	∞	∞	PROPN
american_scientific_journal-4934	60	27	𝑚𝑚=1	𝑚𝑚=1	X
american_scientific_journal-4934	60	28	the	the	DET
american_scientific_journal-4934	60	29	initial	initial	ADJ
american_scientific_journal-4934	60	30	conditions	condition	NOUN
american_scientific_journal-4934	60	31	require	require	VERB
american_scientific_journal-4934	60	32	that	that	SCONJ
american_scientific_journal-4934	60	33	𝑈𝑈(𝑥𝑥	𝑈𝑈(𝑥𝑥	PROPN
american_scientific_journal-4934	60	34	,	,	PUNCT
american_scientific_journal-4934	60	35	𝑧𝑧	𝑧𝑧	NOUN
american_scientific_journal-4934	60	36	,	,	PUNCT
american_scientific_journal-4934	60	37	0	0	NUM
american_scientific_journal-4934	60	38	)	)	PUNCT
american_scientific_journal-4934	60	39	=	=	SYM
american_scientific_journal-4934	60	40	100	100	NUM
american_scientific_journal-4934	60	41	=	=	SYM
american_scientific_journal-4934	60	42	�	�	PROPN
american_scientific_journal-4934	60	43	�	�	PROPN
american_scientific_journal-4934	60	44	𝐸𝐸𝑚𝑚𝑛𝑛𝑐𝑐𝐴𝐴𝑛𝑛	𝐸𝐸𝑚𝑚𝑛𝑛𝑐𝑐𝐴𝐴𝑛𝑛	NOUN
american_scientific_journal-4934	60	45	�	�	PROPN
american_scientific_journal-4934	60	46	𝑚𝑚𝑛𝑛	𝑚𝑚𝑛𝑛	NOUN
american_scientific_journal-4934	60	47	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	60	48	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	60	49	�	�	PROPN
american_scientific_journal-4934	60	50	.	.	PUNCT
american_scientific_journal-4934	61	1	sin	sin	PROPN
american_scientific_journal-4934	61	2	�	�	PROPN
american_scientific_journal-4934	61	3	𝑛𝑛𝑛𝑛	𝑛𝑛𝑛𝑛	PROPN
american_scientific_journal-4934	61	4	𝑏𝑏	𝑏𝑏	PROPN
american_scientific_journal-4934	61	5	𝑧𝑧	𝑧𝑧	PROPN
american_scientific_journal-4934	61	6	�	�	PROPN
american_scientific_journal-4934	61	7	∞	∞	PROPN
american_scientific_journal-4934	61	8	𝑛𝑛=1	𝑛𝑛=1	PROPN
american_scientific_journal-4934	61	9	∞	∞	PROPN
american_scientific_journal-4934	61	10	𝑚𝑚=1	𝑚𝑚=1	NOUN
american_scientific_journal-4934	61	11	using	use	VERB
american_scientific_journal-4934	61	12	fourier	fourier	NOUN
american_scientific_journal-4934	61	13	sine	sine	NOUN
american_scientific_journal-4934	61	14	orthogonality	orthogonality	NOUN
american_scientific_journal-4934	61	15	relations	relation	NOUN
american_scientific_journal-4934	61	16	to	to	PART
american_scientific_journal-4934	61	17	evaluate	evaluate	VERB
american_scientific_journal-4934	61	18	the	the	DET
american_scientific_journal-4934	61	19	coefficient	coefficient	NOUN
american_scientific_journal-4934	61	20	𝐸𝐸𝑚𝑚𝑛𝑛	𝐸𝐸𝑚𝑚𝑛𝑛	PROPN
american_scientific_journal-4934	61	21	,	,	PUNCT
american_scientific_journal-4934	61	22	we	we	PRON
american_scientific_journal-4934	61	23	multiply	multiply	VERB
american_scientific_journal-4934	61	24	by	by	ADP
american_scientific_journal-4934	61	25	𝑐𝑐𝐴𝐴𝑛𝑛	𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	61	26	�	�	PROPN
american_scientific_journal-4934	61	27	𝑚𝑚	𝑚𝑚	NOUN
american_scientific_journal-4934	61	28	�	�	PROPN
american_scientific_journal-4934	61	29	𝜋𝜋	𝜋𝜋	NOUN
american_scientific_journal-4934	61	30	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-4934	61	31	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	61	32	�	�	NOUN
american_scientific_journal-4934	61	33	and	and	CCONJ
american_scientific_journal-4934	61	34	integrate	integrate	VERB
american_scientific_journal-4934	61	35	from	from	ADP
american_scientific_journal-4934	61	36	0	0	NUM
american_scientific_journal-4934	61	37	to	to	ADP
american_scientific_journal-4934	61	38	a	a	PRON
american_scientific_journal-4934	61	39	to	to	PART
american_scientific_journal-4934	61	40	obtain	obtain	VERB
american_scientific_journal-4934	61	41	�	�	PROPN
american_scientific_journal-4934	61	42	100𝑐𝑐𝐴𝐴𝑛𝑛	100𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	61	43	�	�	PROPN
american_scientific_journal-4934	61	44	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-4934	61	45	�	�	NOUN
american_scientific_journal-4934	61	46	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-4934	61	47	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	61	48	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	61	49	�	�	NOUN
american_scientific_journal-4934	61	50	𝑑𝑑𝑥𝑥	𝑑𝑑𝑥𝑥	NOUN
american_scientific_journal-4934	61	51	=	=	SYM
american_scientific_journal-4934	61	52	�	�	PROPN
american_scientific_journal-4934	61	53	�	�	PROPN
american_scientific_journal-4934	61	54	𝐸𝐸𝑚𝑚𝑛𝑛𝑐𝑐𝐴𝐴𝑛𝑛	𝐸𝐸𝑚𝑚𝑛𝑛𝑐𝑐𝐴𝐴𝑛𝑛	NOUN
american_scientific_journal-4934	61	55	�	�	PROPN
american_scientific_journal-4934	61	56	𝑛𝑛𝑥𝑥𝑧𝑧	𝑛𝑛𝑥𝑥𝑧𝑧	NOUN
american_scientific_journal-4934	61	57	𝑏𝑏	𝑏𝑏	NUM
american_scientific_journal-4934	61	58	�	�	PROPN
american_scientific_journal-4934	61	59	�	�	PROPN
american_scientific_journal-4934	61	60	sin	sin	PROPN
american_scientific_journal-4934	61	61	�	�	PROPN
american_scientific_journal-4934	61	62	𝑚𝑚𝑛𝑛𝑥𝑥	𝑚𝑚𝑛𝑛𝑥𝑥	PROPN
american_scientific_journal-4934	61	63	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	61	64	�	�	PROPN
american_scientific_journal-4934	61	65	a	a	DET
american_scientific_journal-4934	61	66	0	0	NUM
american_scientific_journal-4934	61	67	∞	∞	NUM
american_scientific_journal-4934	61	68	𝑛𝑛=1	𝑛𝑛=1	PROPN
american_scientific_journal-4934	61	69	∞	∞	PROPN
american_scientific_journal-4934	61	70	𝑚𝑚=1	𝑚𝑚=1	NOUN
american_scientific_journal-4934	61	71	𝑎𝑎	𝑎𝑎	ADJ
american_scientific_journal-4934	61	72	0	0	NUM
american_scientific_journal-4934	61	73	sin	sin	NOUN
american_scientific_journal-4934	61	74	�	�	PROPN
american_scientific_journal-4934	61	75	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-4934	61	76	�	�	NOUN
american_scientific_journal-4934	61	77	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-4934	61	78	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	61	79	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	61	80	�	�	PROPN
american_scientific_journal-4934	61	81	dx	dx	PROPN
american_scientific_journal-4934	61	82	from	from	ADP
american_scientific_journal-4934	61	83	orthogonality	orthogonality	PROPN
american_scientific_journal-4934	61	84	relation	relation	NOUN
american_scientific_journal-4934	61	85	american	american	PROPN
american_scientific_journal-4934	61	86	scientific	scientific	PROPN
american_scientific_journal-4934	61	87	research	research	PROPN
american_scientific_journal-4934	61	88	journal	journal	NOUN
american_scientific_journal-4934	61	89	for	for	ADP
american_scientific_journal-4934	61	90	engineering	engineering	NOUN
american_scientific_journal-4934	61	91	,	,	PUNCT
american_scientific_journal-4934	61	92	technology	technology	NOUN
american_scientific_journal-4934	61	93	,	,	PUNCT
american_scientific_journal-4934	61	94	and	and	CCONJ
american_scientific_journal-4934	61	95	sciences	science	NOUN
american_scientific_journal-4934	61	96	(	(	PUNCT
american_scientific_journal-4934	61	97	asrjets	asrjet	NOUN
american_scientific_journal-4934	61	98	)	)	PUNCT
american_scientific_journal-4934	61	99	(	(	PUNCT
american_scientific_journal-4934	61	100	2019	2019	NUM
american_scientific_journal-4934	61	101	)	)	PUNCT
american_scientific_journal-4934	61	102	volume	volume	NOUN
american_scientific_journal-4934	61	103	56	56	NUM
american_scientific_journal-4934	61	104	,	,	PUNCT
american_scientific_journal-4934	61	105	no	no	DET
american_scientific_journal-4934	61	106	1	1	NUM
american_scientific_journal-4934	61	107	,	,	PUNCT
american_scientific_journal-4934	61	108	pp	pp	ADV
american_scientific_journal-4934	61	109	218	218	NUM
american_scientific_journal-4934	61	110	-	-	SYM
american_scientific_journal-4934	61	111	229	229	NUM
american_scientific_journal-4934	61	112	226	226	NUM
american_scientific_journal-4934	61	113	�	�	PROPN
american_scientific_journal-4934	61	114	𝑐𝑐𝐴𝐴𝑛𝑛	𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	61	115	�	�	PROPN
american_scientific_journal-4934	61	116	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-4934	61	117	�	�	NOUN
american_scientific_journal-4934	61	118	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-4934	61	119	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	61	120	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	61	121	�	�	PROPN
american_scientific_journal-4934	61	122	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-4934	61	123	0	0	NUM
american_scientific_journal-4934	61	124	sin	sin	PROPN
american_scientific_journal-4934	61	125	�	�	PROPN
american_scientific_journal-4934	61	126	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-4934	61	127	�	�	NOUN
american_scientific_journal-4934	61	128	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-4934	61	129	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	61	130	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	61	131	�	�	NOUN
american_scientific_journal-4934	61	132	𝑑𝑑𝑥𝑥	𝑑𝑑𝑥𝑥	NOUN
american_scientific_journal-4934	61	133	=	=	SYM
american_scientific_journal-4934	61	134	�	�	PROPN
american_scientific_journal-4934	61	135	0,𝑚𝑚	0,𝑚𝑚	PROPN
american_scientific_journal-4934	61	136	≠	≠	PROPN
american_scientific_journal-4934	61	137	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-4934	61	138	�	�	PROPN
american_scientific_journal-4934	61	139	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	61	140	2	2	NUM
american_scientific_journal-4934	61	141	,	,	PUNCT
american_scientific_journal-4934	61	142	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-4934	61	143	=	=	PUNCT
american_scientific_journal-4934	61	144	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-4934	61	145	�	�	PROPN
american_scientific_journal-4934	61	146	therefore	therefore	ADV
american_scientific_journal-4934	61	147	;	;	PUNCT
american_scientific_journal-4934	61	148	�	�	PROPN
american_scientific_journal-4934	61	149	100𝑐𝑐𝐴𝐴𝑛𝑛	100𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	61	150	�	�	PROPN
american_scientific_journal-4934	61	151	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-4934	61	152	�	�	NOUN
american_scientific_journal-4934	61	153	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-4934	61	154	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	61	155	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	61	156	�	�	PROPN
american_scientific_journal-4934	61	157	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-4934	61	158	0	0	NUM
american_scientific_journal-4934	61	159	𝑑𝑑𝑥𝑥	𝑑𝑑𝑥𝑥	NOUN
american_scientific_journal-4934	61	160	=	=	SYM
american_scientific_journal-4934	61	161	�	�	PROPN
american_scientific_journal-4934	61	162	�	�	PROPN
american_scientific_journal-4934	61	163	𝐸𝐸𝑚𝑚𝑛𝑛𝑐𝑐𝐴𝐴𝑛𝑛	𝐸𝐸𝑚𝑚𝑛𝑛𝑐𝑐𝐴𝐴𝑛𝑛	NOUN
american_scientific_journal-4934	61	164	�	�	PROPN
american_scientific_journal-4934	61	165	𝑛𝑛𝑥𝑥𝑧𝑧	𝑛𝑛𝑥𝑥𝑧𝑧	NOUN
american_scientific_journal-4934	61	166	𝑏𝑏	𝑏𝑏	ADP
american_scientific_journal-4934	61	167	�	�	PROPN
american_scientific_journal-4934	61	168	.	.	PUNCT
american_scientific_journal-4934	62	1	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	62	2	2	2	NUM
american_scientific_journal-4934	62	3	∞	∞	PROPN
american_scientific_journal-4934	62	4	𝑛𝑛=1	𝑛𝑛=1	NOUN
american_scientific_journal-4934	62	5	∞	∞	NUM
american_scientific_journal-4934	62	6	𝑚𝑚=1	𝑚𝑚=1	PROPN
american_scientific_journal-4934	62	7	but	but	CCONJ
american_scientific_journal-4934	62	8	;	;	PUNCT
american_scientific_journal-4934	62	9	�	�	PROPN
american_scientific_journal-4934	62	10	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	62	11	2	2	NUM
american_scientific_journal-4934	62	12	=	=	NOUN
american_scientific_journal-4934	62	13	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	62	14	2	2	NUM
american_scientific_journal-4934	62	15	∞	∞	NUM
american_scientific_journal-4934	62	16	𝑛𝑛=1	𝑛𝑛=1	NOUN
american_scientific_journal-4934	62	17	hence	hence	ADV
american_scientific_journal-4934	62	18	,	,	PUNCT
american_scientific_journal-4934	62	19	we	we	PRON
american_scientific_journal-4934	62	20	have	have	AUX
american_scientific_journal-4934	62	21	;	;	PUNCT
american_scientific_journal-4934	62	22	�	�	PROPN
american_scientific_journal-4934	62	23	100𝑐𝑐𝐴𝐴𝑛𝑛	100𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	62	24	�	�	PROPN
american_scientific_journal-4934	62	25	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-4934	62	26	�	�	NOUN
american_scientific_journal-4934	62	27	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-4934	62	28	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	62	29	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	62	30	�	�	NOUN
american_scientific_journal-4934	62	31	𝑑𝑑𝑥𝑥	𝑑𝑑𝑥𝑥	NOUN
american_scientific_journal-4934	62	32	=	=	SYM
american_scientific_journal-4934	62	33	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	62	34	2	2	NUM
american_scientific_journal-4934	62	35	�	�	PROPN
american_scientific_journal-4934	62	36	𝐸𝐸𝑚𝑚𝑛𝑛𝑐𝑐𝐴𝐴𝑛𝑛	𝐸𝐸𝑚𝑚𝑛𝑛𝑐𝑐𝐴𝐴𝑛𝑛	NOUN
american_scientific_journal-4934	62	37	�	�	PROPN
american_scientific_journal-4934	62	38	𝑛𝑛𝑛𝑛𝑧𝑧	𝑛𝑛𝑛𝑛𝑧𝑧	PROPN
american_scientific_journal-4934	62	39	𝑏𝑏	𝑏𝑏	PROPN
american_scientific_journal-4934	62	40	�	�	PROPN
american_scientific_journal-4934	62	41	∞	∞	PROPN
american_scientific_journal-4934	62	42	𝑚𝑚=1	𝑚𝑚=1	NOUN
american_scientific_journal-4934	62	43	𝑎𝑎	𝑎𝑎	ADJ
american_scientific_journal-4934	62	44	0	0	NUM
american_scientific_journal-4934	62	45	multiplying	multiply	VERB
american_scientific_journal-4934	62	46	by	by	ADP
american_scientific_journal-4934	62	47	𝑐𝑐𝐴𝐴𝑛𝑛	𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	62	48	�	�	PROPN
american_scientific_journal-4934	62	49	𝑛𝑛𝜋𝜋𝑧𝑧	𝑛𝑛𝜋𝜋𝑧𝑧	NOUN
american_scientific_journal-4934	62	50	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	62	51	�	�	NOUN
american_scientific_journal-4934	62	52	and	and	CCONJ
american_scientific_journal-4934	62	53	integrating	integrate	VERB
american_scientific_journal-4934	62	54	from	from	ADP
american_scientific_journal-4934	62	55	0	0	NUM
american_scientific_journal-4934	62	56	to	to	ADP
american_scientific_journal-4934	62	57	b.	b.	PROPN
american_scientific_journal-4934	62	58	�	�	PROPN
american_scientific_journal-4934	62	59	�	�	PROPN
american_scientific_journal-4934	62	60	100𝑐𝑐𝐴𝐴𝑛𝑛	100𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	62	61	�	�	PROPN
american_scientific_journal-4934	62	62	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-4934	62	63	�	�	NOUN
american_scientific_journal-4934	62	64	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-4934	62	65	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	62	66	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	62	67	�	�	PROPN
american_scientific_journal-4934	62	68	𝑐𝑐𝐴𝐴𝑛𝑛	𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	62	69	�	�	PROPN
american_scientific_journal-4934	62	70	𝑛𝑛𝑛𝑛𝑧𝑧	𝑛𝑛𝑛𝑛𝑧𝑧	PROPN
american_scientific_journal-4934	62	71	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	62	72	�	�	PROPN
american_scientific_journal-4934	62	73	𝑑𝑑𝑥𝑥	𝑑𝑑𝑥𝑥	NOUN
american_scientific_journal-4934	62	74	𝑑𝑑𝑧𝑧	𝑑𝑑𝑧𝑧	ADJ
american_scientific_journal-4934	62	75	=	=	SYM
american_scientific_journal-4934	62	76	�	�	NOUN
american_scientific_journal-4934	62	77	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	62	78	2	2	NUM
american_scientific_journal-4934	62	79	�	�	NOUN
american_scientific_journal-4934	62	80	𝐸𝐸𝑚𝑚𝑛𝑛𝑐𝑐𝐴𝐴𝑛𝑛	𝐸𝐸𝑚𝑚𝑛𝑛𝑐𝑐𝐴𝐴𝑛𝑛	NOUN
american_scientific_journal-4934	62	81	�	�	PROPN
american_scientific_journal-4934	62	82	𝑛𝑛𝑛𝑛𝑧𝑧	𝑛𝑛𝑛𝑛𝑧𝑧	PROPN
american_scientific_journal-4934	62	83	𝑏𝑏	𝑏𝑏	PROPN
american_scientific_journal-4934	62	84	�	�	PROPN
american_scientific_journal-4934	62	85	𝑐𝑐𝐴𝐴𝑛𝑛	𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	62	86	�	�	PROPN
american_scientific_journal-4934	62	87	𝑛𝑛𝑛𝑛𝑧𝑧	𝑛𝑛𝑛𝑛𝑧𝑧	PROPN
american_scientific_journal-4934	62	88	𝑏𝑏	𝑏𝑏	PROPN
american_scientific_journal-4934	62	89	�	�	PROPN
american_scientific_journal-4934	62	90	𝑑𝑑𝑧𝑧	𝑑𝑑𝑧𝑧	ADJ
american_scientific_journal-4934	62	91	∞	∞	PROPN
american_scientific_journal-4934	62	92	𝑛𝑛=1	𝑛𝑛=1	PROPN
american_scientific_journal-4934	62	93	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	62	94	0	0	NUM
american_scientific_journal-4934	62	95	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-4934	62	96	0	0	NUM
american_scientific_journal-4934	62	97	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	62	98	0	0	NUM
american_scientific_journal-4934	62	99	applying	apply	VERB
american_scientific_journal-4934	62	100	the	the	DET
american_scientific_journal-4934	62	101	orthogonality	orthogonality	NOUN
american_scientific_journal-4934	62	102	relation	relation	PROPN
american_scientific_journal-4934	62	103	�	�	PROPN
american_scientific_journal-4934	62	104	�	�	PROPN
american_scientific_journal-4934	62	105	100𝑐𝑐𝐴𝐴𝑛𝑛	100𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	62	106	�	�	PROPN
american_scientific_journal-4934	62	107	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-4934	62	108	�	�	NOUN
american_scientific_journal-4934	62	109	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-4934	62	110	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	62	111	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	62	112	�	�	PROPN
american_scientific_journal-4934	62	113	𝑐𝑐𝐴𝐴𝑛𝑛	𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	62	114	�	�	PROPN
american_scientific_journal-4934	62	115	𝑛𝑛𝑛𝑛𝑧𝑧	𝑛𝑛𝑛𝑛𝑧𝑧	PROPN
american_scientific_journal-4934	62	116	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	62	117	�	�	PROPN
american_scientific_journal-4934	62	118	𝑑𝑑𝑥𝑥	𝑑𝑑𝑥𝑥	NOUN
american_scientific_journal-4934	62	119	𝑑𝑑𝑧𝑧	𝑑𝑑𝑧𝑧	ADJ
american_scientific_journal-4934	62	120	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-4934	62	121	0	0	NUM
american_scientific_journal-4934	62	122	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	62	123	0	0	NUM
american_scientific_journal-4934	62	124	=	=	NOUN
american_scientific_journal-4934	62	125	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	62	126	2	2	NUM
american_scientific_journal-4934	62	127	�	�	NOUN
american_scientific_journal-4934	62	128	𝐸𝐸𝑚𝑚𝑛𝑛	𝐸𝐸𝑚𝑚𝑛𝑛	PROPN
american_scientific_journal-4934	62	129	𝑏𝑏	𝑏𝑏	ADP
american_scientific_journal-4934	62	130	2	2	NUM
american_scientific_journal-4934	62	131	∞	∞	NOUN
american_scientific_journal-4934	62	132	𝑚𝑚=1	𝑚𝑚=1	NOUN
american_scientific_journal-4934	62	133	where	where	SCONJ
american_scientific_journal-4934	62	134	,	,	PUNCT
american_scientific_journal-4934	62	135	�	�	PROPN
american_scientific_journal-4934	62	136	𝑏𝑏	𝑏𝑏	ADP
american_scientific_journal-4934	62	137	2	2	NUM
american_scientific_journal-4934	62	138	∞	∞	PROPN
american_scientific_journal-4934	62	139	𝑛𝑛=1	𝑛𝑛=1	NOUN
american_scientific_journal-4934	62	140	=	=	SYM
american_scientific_journal-4934	62	141	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	62	142	2	2	NUM
american_scientific_journal-4934	62	143	hence	hence	ADV
american_scientific_journal-4934	62	144	;	;	PUNCT
american_scientific_journal-4934	62	145	�	�	PROPN
american_scientific_journal-4934	62	146	�	�	PROPN
american_scientific_journal-4934	62	147	100𝑐𝑐𝐴𝐴𝑛𝑛	100𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	62	148	�	�	PROPN
american_scientific_journal-4934	62	149	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-4934	62	150	�	�	NOUN
american_scientific_journal-4934	62	151	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-4934	62	152	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	62	153	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	62	154	�	�	PROPN
american_scientific_journal-4934	62	155	𝑐𝑐𝐴𝐴𝑛𝑛	𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	62	156	�	�	PROPN
american_scientific_journal-4934	62	157	𝑛𝑛𝑛𝑛𝑧𝑧	𝑛𝑛𝑛𝑛𝑧𝑧	PROPN
american_scientific_journal-4934	62	158	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	62	159	�	�	PROPN
american_scientific_journal-4934	62	160	𝑑𝑑𝑥𝑥	𝑑𝑑𝑥𝑥	NOUN
american_scientific_journal-4934	62	161	𝑑𝑑𝑧𝑧	𝑑𝑑𝑧𝑧	ADJ
american_scientific_journal-4934	62	162	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-4934	62	163	0	0	NUM
american_scientific_journal-4934	62	164	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	62	165	0	0	NUM
american_scientific_journal-4934	62	166	=	=	NOUN
american_scientific_journal-4934	62	167	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-4934	62	168	2	2	NUM
american_scientific_journal-4934	62	169	.	.	PUNCT
american_scientific_journal-4934	63	1	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	63	2	2	2	NUM
american_scientific_journal-4934	63	3	𝐸𝐸𝑚𝑚𝑛𝑛	𝐸𝐸𝑚𝑚𝑛𝑛	PROPN
american_scientific_journal-4934	63	4	=	=	SYM
american_scientific_journal-4934	63	5	𝑎𝑎𝑏𝑏	𝑎𝑎𝑏𝑏	NOUN
american_scientific_journal-4934	63	6	4	4	NUM
american_scientific_journal-4934	63	7	𝐸𝐸𝑚𝑚𝑛𝑛	𝐸𝐸𝑚𝑚𝑛𝑛	NOUN
american_scientific_journal-4934	63	8	where	where	SCONJ
american_scientific_journal-4934	63	9	;	;	PUNCT
american_scientific_journal-4934	63	10	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-4934	63	11	�	�	NOUN
american_scientific_journal-4934	63	12	=	=	PUNCT
american_scientific_journal-4934	63	13	𝑚𝑚	𝑚𝑚	ADP
american_scientific_journal-4934	63	14	american	american	ADJ
american_scientific_journal-4934	63	15	scientific	scientific	ADJ
american_scientific_journal-4934	63	16	research	research	NOUN
american_scientific_journal-4934	63	17	journal	journal	NOUN
american_scientific_journal-4934	63	18	for	for	ADP
american_scientific_journal-4934	63	19	engineering	engineering	NOUN
american_scientific_journal-4934	63	20	,	,	PUNCT
american_scientific_journal-4934	63	21	technology	technology	NOUN
american_scientific_journal-4934	63	22	,	,	PUNCT
american_scientific_journal-4934	63	23	and	and	CCONJ
american_scientific_journal-4934	63	24	sciences	science	NOUN
american_scientific_journal-4934	63	25	(	(	PUNCT
american_scientific_journal-4934	63	26	asrjets	asrjet	NOUN
american_scientific_journal-4934	63	27	)	)	PUNCT
american_scientific_journal-4934	63	28	(	(	PUNCT
american_scientific_journal-4934	63	29	2019	2019	NUM
american_scientific_journal-4934	63	30	)	)	PUNCT
american_scientific_journal-4934	63	31	volume	volume	NOUN
american_scientific_journal-4934	63	32	56	56	NUM
american_scientific_journal-4934	63	33	,	,	PUNCT
american_scientific_journal-4934	63	34	no	no	DET
american_scientific_journal-4934	63	35	1	1	NUM
american_scientific_journal-4934	63	36	,	,	PUNCT
american_scientific_journal-4934	63	37	pp	pp	ADV
american_scientific_journal-4934	63	38	218	218	NUM
american_scientific_journal-4934	63	39	-	-	SYM
american_scientific_journal-4934	63	40	229	229	NUM
american_scientific_journal-4934	63	41	227	227	NUM
american_scientific_journal-4934	63	42	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-4934	63	43	�	�	X
american_scientific_journal-4934	63	44	=	=	PRON
american_scientific_journal-4934	63	45	𝑛𝑛	𝑛𝑛	NOUN
american_scientific_journal-4934	63	46	therefore	therefore	ADV
american_scientific_journal-4934	63	47	,	,	PUNCT
american_scientific_journal-4934	63	48	�	�	PROPN
american_scientific_journal-4934	63	49	�	�	PROPN
american_scientific_journal-4934	63	50	100𝑐𝑐𝐴𝐴𝑛𝑛	100𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	63	51	�	�	PROPN
american_scientific_journal-4934	63	52	𝑚𝑚𝑛𝑛	𝑚𝑚𝑛𝑛	NOUN
american_scientific_journal-4934	63	53	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	63	54	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	63	55	�	�	PROPN
american_scientific_journal-4934	63	56	𝑐𝑐𝐴𝐴𝑛𝑛	𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	63	57	�	�	PROPN
american_scientific_journal-4934	63	58	𝑛𝑛𝑛𝑛𝑧𝑧	𝑛𝑛𝑛𝑛𝑧𝑧	PROPN
american_scientific_journal-4934	63	59	𝑏𝑏	𝑏𝑏	PROPN
american_scientific_journal-4934	63	60	�	�	PROPN
american_scientific_journal-4934	63	61	𝑑𝑑𝑥𝑥	𝑑𝑑𝑥𝑥	NOUN
american_scientific_journal-4934	63	62	𝑑𝑑𝑧𝑧	𝑑𝑑𝑧𝑧	ADV
american_scientific_journal-4934	63	63	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-4934	63	64	0	0	NUM
american_scientific_journal-4934	63	65	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	63	66	0	0	NUM
american_scientific_journal-4934	64	1	=	=	PUNCT
american_scientific_journal-4934	65	1	𝑎𝑎𝑏𝑏	𝑎𝑎𝑏𝑏	NOUN
american_scientific_journal-4934	65	2	4	4	NUM
american_scientific_journal-4934	65	3	𝐸𝐸𝑚𝑚𝑛𝑛	𝐸𝐸𝑚𝑚𝑛𝑛	PROPN
american_scientific_journal-4934	65	4	𝐸𝐸𝑚𝑚𝑛𝑛	𝐸𝐸𝑚𝑚𝑛𝑛	PROPN
american_scientific_journal-4934	65	5	=	=	SYM
american_scientific_journal-4934	65	6	4	4	NUM
american_scientific_journal-4934	65	7	𝑎𝑎𝑏𝑏	𝑎𝑎𝑏𝑏	NOUN
american_scientific_journal-4934	65	8	�	�	PROPN
american_scientific_journal-4934	65	9	�	�	PROPN
american_scientific_journal-4934	65	10	100𝑐𝑐𝐴𝐴𝑛𝑛	100𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	65	11	�	�	PROPN
american_scientific_journal-4934	65	12	𝑚𝑚𝑛𝑛	𝑚𝑚𝑛𝑛	NOUN
american_scientific_journal-4934	65	13	𝑎𝑎	𝑎𝑎	VERB
american_scientific_journal-4934	65	14	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-4934	65	15	�	�	PROPN
american_scientific_journal-4934	65	16	𝑐𝑐𝐴𝐴𝑛𝑛	𝑐𝑐𝐴𝐴𝑛𝑛	PROPN
american_scientific_journal-4934	65	17	�	�	PROPN
american_scientific_journal-4934	65	18	𝑛𝑛𝑛𝑛𝑧𝑧	𝑛𝑛𝑛𝑛𝑧𝑧	PROPN
american_scientific_journal-4934	65	19	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	65	20	�	�	PROPN
american_scientific_journal-4934	65	21	𝑑𝑑𝑥𝑥	𝑑𝑑𝑥𝑥	NOUN
american_scientific_journal-4934	65	22	𝑑𝑑𝑧𝑧	𝑑𝑑𝑧𝑧	ADJ
american_scientific_journal-4934	65	23	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-4934	65	24	0	0	NUM
american_scientific_journal-4934	65	25	𝑏𝑏	𝑏𝑏	NOUN
american_scientific_journal-4934	65	26	0	0	NUM
american_scientific_journal-4934	66	1	(	(	PUNCT
american_scientific_journal-4934	66	2	16	16	NUM
american_scientific_journal-4934	66	3	)	)	PUNCT
american_scientific_journal-4934	66	4	equation	equation	NOUN
american_scientific_journal-4934	66	5	(	(	PUNCT
american_scientific_journal-4934	66	6	15	15	NUM
american_scientific_journal-4934	66	7	)	)	PUNCT
american_scientific_journal-4934	66	8	is	be	AUX
american_scientific_journal-4934	66	9	the	the	DET
american_scientific_journal-4934	66	10	exact	exact	ADJ
american_scientific_journal-4934	66	11	solution	solution	NOUN
american_scientific_journal-4934	66	12	to	to	ADP
american_scientific_journal-4934	66	13	equation	equation	NOUN
american_scientific_journal-4934	66	14	(	(	PUNCT
american_scientific_journal-4934	66	15	5	5	NUM
american_scientific_journal-4934	66	16	)	)	PUNCT
american_scientific_journal-4934	66	17	with	with	ADP
american_scientific_journal-4934	66	18	𝐸𝐸𝑚𝑚𝑛𝑛	𝐸𝐸𝑚𝑚𝑛𝑛	PROPN
american_scientific_journal-4934	66	19	computed	compute	VERB
american_scientific_journal-4934	66	20	from	from	ADP
american_scientific_journal-4934	66	21	equation	equation	NOUN
american_scientific_journal-4934	66	22	(	(	PUNCT
american_scientific_journal-4934	66	23	16	16	NUM
american_scientific_journal-4934	66	24	)	)	PUNCT
american_scientific_journal-4934	66	25	.	.	PUNCT
american_scientific_journal-4934	67	1	4	4	X
american_scientific_journal-4934	67	2	.	.	X
american_scientific_journal-4934	67	3	case	case	NOUN
american_scientific_journal-4934	67	4	study	study	VERB
american_scientific_journal-4934	67	5	the	the	DET
american_scientific_journal-4934	67	6	soil	soil	NOUN
american_scientific_journal-4934	67	7	for	for	ADP
american_scientific_journal-4934	67	8	study	study	NOUN
american_scientific_journal-4934	67	9	is	be	AUX
american_scientific_journal-4934	67	10	that	that	PRON
american_scientific_journal-4934	67	11	of	of	ADP
american_scientific_journal-4934	67	12	a	a	DET
american_scientific_journal-4934	67	13	highly	highly	ADV
american_scientific_journal-4934	67	14	compressible	compressible	ADJ
american_scientific_journal-4934	67	15	clay	clay	NOUN
american_scientific_journal-4934	67	16	layer	layer	NOUN
american_scientific_journal-4934	67	17	,	,	PUNCT
american_scientific_journal-4934	67	18	2	2	NUM
american_scientific_journal-4934	67	19	m	m	NOUN
american_scientific_journal-4934	67	20	thick	thick	ADJ
american_scientific_journal-4934	67	21	and	and	CCONJ
american_scientific_journal-4934	67	22	is	be	AUX
american_scientific_journal-4934	67	23	subjected	subject	VERB
american_scientific_journal-4934	67	24	to	to	ADP
american_scientific_journal-4934	67	25	a	a	DET
american_scientific_journal-4934	67	26	vertical	vertical	ADJ
american_scientific_journal-4934	67	27	pressure	pressure	NOUN
american_scientific_journal-4934	67	28	of	of	ADP
american_scientific_journal-4934	67	29	100kpa	100kpa	NUM
american_scientific_journal-4934	67	30	that	that	PRON
american_scientific_journal-4934	67	31	is	be	AUX
american_scientific_journal-4934	67	32	maintained	maintain	VERB
american_scientific_journal-4934	67	33	constant	constant	ADJ
american_scientific_journal-4934	67	34	with	with	ADP
american_scientific_journal-4934	67	35	time	time	NOUN
american_scientific_journal-4934	67	36	.	.	PUNCT
american_scientific_journal-4934	68	1	drainage	drainage	NOUN
american_scientific_journal-4934	68	2	is	be	AUX
american_scientific_journal-4934	68	3	allowed	allow	VERB
american_scientific_journal-4934	68	4	from	from	ADP
american_scientific_journal-4934	68	5	both	both	CCONJ
american_scientific_journal-4934	68	6	the	the	DET
american_scientific_journal-4934	68	7	vertical	vertical	ADJ
american_scientific_journal-4934	68	8	and	and	CCONJ
american_scientific_journal-4934	68	9	horizontal	horizontal	ADJ
american_scientific_journal-4934	68	10	direction	direction	NOUN
american_scientific_journal-4934	68	11	.	.	PUNCT
american_scientific_journal-4934	69	1	from	from	ADP
american_scientific_journal-4934	69	2	laboratory	laboratory	NOUN
american_scientific_journal-4934	69	3	analysis	analysis	NOUN
american_scientific_journal-4934	69	4	carried	carry	VERB
american_scientific_journal-4934	69	5	out	out	ADP
american_scientific_journal-4934	69	6	on	on	ADP
american_scientific_journal-4934	69	7	soil	soil	NOUN
american_scientific_journal-4934	69	8	sample	sample	NOUN
american_scientific_journal-4934	69	9	obtained	obtain	VERB
american_scientific_journal-4934	69	10	,	,	PUNCT
american_scientific_journal-4934	69	11	the	the	DET
american_scientific_journal-4934	69	12	following	follow	VERB
american_scientific_journal-4934	69	13	data	datum	NOUN
american_scientific_journal-4934	69	14	were	be	AUX
american_scientific_journal-4934	69	15	obtained	obtain	VERB
american_scientific_journal-4934	69	16	.	.	PUNCT
american_scientific_journal-4934	70	1	table	table	NOUN
american_scientific_journal-4934	70	2	1	1	NUM
american_scientific_journal-4934	70	3	:	:	PUNCT
american_scientific_journal-4934	70	4	soil	soil	NOUN
american_scientific_journal-4934	70	5	properties	property	NOUN
american_scientific_journal-4934	70	6	s	s	PART
american_scientific_journal-4934	70	7	/	/	SYM
american_scientific_journal-4934	70	8	n	n	CCONJ
american_scientific_journal-4934	70	9	parameters	parameter	NOUN
american_scientific_journal-4934	70	10	value	value	VERB
american_scientific_journal-4934	70	11	1	1	NUM
american_scientific_journal-4934	70	12	moisture	moisture	NOUN
american_scientific_journal-4934	70	13	content	content	NOUN
american_scientific_journal-4934	70	14	88.0	88.0	NUM
american_scientific_journal-4934	70	15	2	2	NUM
american_scientific_journal-4934	70	16	specific	specific	ADJ
american_scientific_journal-4934	70	17	gravity	gravity	NOUN
american_scientific_journal-4934	70	18	2.59	2.59	NUM
american_scientific_journal-4934	70	19	3	3	NUM
american_scientific_journal-4934	70	20	liquid	liquid	NOUN
american_scientific_journal-4934	70	21	limit	limit	NOUN
american_scientific_journal-4934	70	22	140	140	NUM
american_scientific_journal-4934	70	23	4	4	NUM
american_scientific_journal-4934	70	24	plastic	plastic	NOUN
american_scientific_journal-4934	70	25	limit	limit	NOUN
american_scientific_journal-4934	70	26	37	37	NUM
american_scientific_journal-4934	70	27	5	5	NUM
american_scientific_journal-4934	70	28	plasticity	plasticity	NOUN
american_scientific_journal-4934	70	29	index	index	NOUN
american_scientific_journal-4934	70	30	103	103	NUM
american_scientific_journal-4934	70	31	6	6	NUM
american_scientific_journal-4934	70	32	consolidation	consolidation	NOUN
american_scientific_journal-4934	70	33	modulus	modulus	NOUN
american_scientific_journal-4934	70	34	,	,	PUNCT
american_scientific_journal-4934	70	35	𝐸𝐸𝑜𝑜𝑜𝑜𝑜𝑜	𝐸𝐸𝑜𝑜𝑜𝑜𝑜𝑜	PROPN
american_scientific_journal-4934	70	36	(	(	PUNCT
american_scientific_journal-4934	70	37	mn	mn	PROPN
american_scientific_journal-4934	70	38	/	/	SYM
american_scientific_journal-4934	70	39	m2	m2	PROPN
american_scientific_journal-4934	70	40	)	)	PUNCT
american_scientific_journal-4934	70	41	0.2	0.2	NUM
american_scientific_journal-4934	70	42	7	7	NUM
american_scientific_journal-4934	70	43	coefficient	coefficient	NOUN
american_scientific_journal-4934	70	44	of	of	ADP
american_scientific_journal-4934	70	45	volume	volume	NOUN
american_scientific_journal-4934	70	46	compressibility	compressibility	NOUN
american_scientific_journal-4934	70	47	,	,	PUNCT
american_scientific_journal-4934	70	48	𝑚𝑚𝑣𝑣	𝑚𝑚𝑣𝑣	X
american_scientific_journal-4934	70	49	(	(	PUNCT
american_scientific_journal-4934	70	50	mn	mn	PROPN
american_scientific_journal-4934	70	51	/	/	SYM
american_scientific_journal-4934	70	52	m2	m2	PROPN
american_scientific_journal-4934	70	53	)	)	PUNCT
american_scientific_journal-4934	71	1	5.7e-010	5.7e-010	NUM
american_scientific_journal-4934	71	2	8	8	NUM
american_scientific_journal-4934	71	3	coefficient	coefficient	NOUN
american_scientific_journal-4934	71	4	of	of	ADP
american_scientific_journal-4934	71	5	consolidation	consolidation	NOUN
american_scientific_journal-4934	71	6	pressure	pressure	NOUN
american_scientific_journal-4934	71	7	,	,	PUNCT
american_scientific_journal-4934	71	8	cv	cv	PROPN
american_scientific_journal-4934	71	9	,	,	PUNCT
american_scientific_journal-4934	71	10	(	(	PUNCT
american_scientific_journal-4934	71	11	m	m	NOUN
american_scientific_journal-4934	71	12	/	/	SYM
american_scientific_journal-4934	71	13	s2	s2	PROPN
american_scientific_journal-4934	71	14	)	)	PUNCT
american_scientific_journal-4934	71	15	3.4e-09	3.4e-09	NUM
american_scientific_journal-4934	71	16	9	9	NUM
american_scientific_journal-4934	71	17	compression	compression	NOUN
american_scientific_journal-4934	71	18	index	index	NOUN
american_scientific_journal-4934	71	19	cc	cc	PROPN
american_scientific_journal-4934	71	20	9.9366	9.9366	NUM
american_scientific_journal-4934	71	21	10	10	NUM
american_scientific_journal-4934	71	22	coefficient	coefficient	NOUN
american_scientific_journal-4934	71	23	of	of	ADP
american_scientific_journal-4934	71	24	permeability	permeability	NOUN
american_scientific_journal-4934	71	25	in	in	ADP
american_scientific_journal-4934	71	26	the	the	DET
american_scientific_journal-4934	71	27	vertical	vertical	ADJ
american_scientific_journal-4934	71	28	direction	direction	NOUN
american_scientific_journal-4934	71	29	,	,	PUNCT
american_scientific_journal-4934	71	30	kz	kz	PROPN
american_scientific_journal-4934	71	31	.	.	PROPN
american_scientific_journal-4934	71	32	,	,	PUNCT
american_scientific_journal-4934	71	33	(	(	PUNCT
american_scientific_journal-4934	71	34	m	m	NOUN
american_scientific_journal-4934	71	35	/	/	SYM
american_scientific_journal-4934	71	36	s2	s2	PROPN
american_scientific_journal-4934	71	37	)	)	PUNCT
american_scientific_journal-4934	71	38	6.8e-11	6.8e-11	NUM
american_scientific_journal-4934	71	39	the	the	DET
american_scientific_journal-4934	71	40	natural	natural	ADJ
american_scientific_journal-4934	71	41	moisture	moisture	NOUN
american_scientific_journal-4934	71	42	content	content	NOUN
american_scientific_journal-4934	71	43	test	test	NOUN
american_scientific_journal-4934	71	44	result	result	NOUN
american_scientific_journal-4934	71	45	is	be	AUX
american_scientific_journal-4934	71	46	88	88	NUM
american_scientific_journal-4934	71	47	%	%	NOUN
american_scientific_journal-4934	71	48	,	,	PUNCT
american_scientific_journal-4934	71	49	with	with	ADP
american_scientific_journal-4934	71	50	specific	specific	ADJ
american_scientific_journal-4934	71	51	gravity	gravity	NOUN
american_scientific_journal-4934	71	52	2.59	2.59	NUM
american_scientific_journal-4934	71	53	,	,	PUNCT
american_scientific_journal-4934	71	54	the	the	DET
american_scientific_journal-4934	71	55	atterberg	atterberg	NOUN
american_scientific_journal-4934	71	56	’s	’s	PART
american_scientific_journal-4934	71	57	limit	limit	NOUN
american_scientific_journal-4934	71	58	of	of	ADP
american_scientific_journal-4934	71	59	140	140	NUM
american_scientific_journal-4934	71	60	%	%	NOUN
american_scientific_journal-4934	71	61	,	,	PUNCT
american_scientific_journal-4934	71	62	plastic	plastic	NOUN
american_scientific_journal-4934	71	63	limit	limit	NOUN
american_scientific_journal-4934	71	64	of	of	ADP
american_scientific_journal-4934	71	65	37	37	NUM
american_scientific_journal-4934	71	66	%	%	NOUN
american_scientific_journal-4934	71	67	and	and	CCONJ
american_scientific_journal-4934	71	68	plasticity	plasticity	NOUN
american_scientific_journal-4934	71	69	index	index	NOUN
american_scientific_journal-4934	71	70	of	of	ADP
american_scientific_journal-4934	71	71	103	103	NUM
american_scientific_journal-4934	71	72	%	%	NOUN
american_scientific_journal-4934	71	73	.	.	PUNCT
american_scientific_journal-4934	72	1	the	the	DET
american_scientific_journal-4934	72	2	soil	soil	NOUN
american_scientific_journal-4934	72	3	is	be	AUX
american_scientific_journal-4934	72	4	highly	highly	ADV
american_scientific_journal-4934	72	5	plastic	plastic	ADJ
american_scientific_journal-4934	72	6	.	.	PUNCT
american_scientific_journal-4934	73	1	the	the	DET
american_scientific_journal-4934	73	2	result	result	NOUN
american_scientific_journal-4934	73	3	for	for	ADP
american_scientific_journal-4934	73	4	the	the	DET
american_scientific_journal-4934	73	5	pore	pore	ADJ
american_scientific_journal-4934	73	6	water	water	NOUN
american_scientific_journal-4934	73	7	pressure	pressure	NOUN
american_scientific_journal-4934	73	8	using	use	VERB
american_scientific_journal-4934	73	9	equation	equation	NOUN
american_scientific_journal-4934	73	10	(	(	PUNCT
american_scientific_journal-4934	73	11	15	15	NUM
american_scientific_journal-4934	73	12	)	)	PUNCT
american_scientific_journal-4934	73	13	at	at	ADP
american_scientific_journal-4934	73	14	t	t	NOUN
american_scientific_journal-4934	73	15	=	=	SYM
american_scientific_journal-4934	73	16	10	10	NUM
american_scientific_journal-4934	73	17	,	,	PUNCT
american_scientific_journal-4934	73	18	100	100	NUM
american_scientific_journal-4934	73	19	,	,	PUNCT
american_scientific_journal-4934	73	20	600	600	NUM
american_scientific_journal-4934	73	21	and	and	CCONJ
american_scientific_journal-4934	73	22	1000	1000	NUM
american_scientific_journal-4934	73	23	days	day	NOUN
american_scientific_journal-4934	73	24	for	for	ADP
american_scientific_journal-4934	73	25	the	the	DET
american_scientific_journal-4934	73	26	two	two	NUM
american_scientific_journal-4934	73	27	dimensional	dimensional	ADJ
american_scientific_journal-4934	73	28	consolidation	consolidation	NOUN
american_scientific_journal-4934	73	29	is	be	AUX
american_scientific_journal-4934	73	30	presented	present	VERB
american_scientific_journal-4934	73	31	in	in	ADP
american_scientific_journal-4934	73	32	figure	figure	NOUN
american_scientific_journal-4934	73	33	1	1	NUM
american_scientific_journal-4934	73	34	.	.	PUNCT
american_scientific_journal-4934	74	1	the	the	DET
american_scientific_journal-4934	74	2	result	result	NOUN
american_scientific_journal-4934	74	3	of	of	ADP
american_scientific_journal-4934	74	4	the	the	DET
american_scientific_journal-4934	74	5	predicted	predict	VERB
american_scientific_journal-4934	74	6	pore	pore	ADJ
american_scientific_journal-4934	74	7	water	water	NOUN
american_scientific_journal-4934	74	8	pressure	pressure	NOUN
american_scientific_journal-4934	74	9	using	use	VERB
american_scientific_journal-4934	74	10	the	the	DET
american_scientific_journal-4934	74	11	developed	develop	VERB
american_scientific_journal-4934	74	12	analytical	analytical	ADJ
american_scientific_journal-4934	74	13	method	method	NOUN
american_scientific_journal-4934	74	14	showed	show	VERB
american_scientific_journal-4934	74	15	a	a	DET
american_scientific_journal-4934	74	16	decrease	decrease	NOUN
american_scientific_journal-4934	74	17	in	in	ADP
american_scientific_journal-4934	74	18	pore	pore	ADJ
american_scientific_journal-4934	74	19	water	water	NOUN
american_scientific_journal-4934	74	20	pressure	pressure	NOUN
american_scientific_journal-4934	74	21	at	at	ADP
american_scientific_journal-4934	74	22	various	various	ADJ
american_scientific_journal-4934	74	23	depth	depth	NOUN
american_scientific_journal-4934	74	24	with	with	ADP
american_scientific_journal-4934	74	25	time	time	NOUN
american_scientific_journal-4934	74	26	.	.	PUNCT
american_scientific_journal-4934	75	1	american	american	ADJ
american_scientific_journal-4934	75	2	scientific	scientific	ADJ
american_scientific_journal-4934	75	3	research	research	PROPN
american_scientific_journal-4934	75	4	journal	journal	NOUN
american_scientific_journal-4934	75	5	for	for	ADP
american_scientific_journal-4934	75	6	engineering	engineering	NOUN
american_scientific_journal-4934	75	7	,	,	PUNCT
american_scientific_journal-4934	75	8	technology	technology	NOUN
american_scientific_journal-4934	75	9	,	,	PUNCT
american_scientific_journal-4934	75	10	and	and	CCONJ
american_scientific_journal-4934	75	11	sciences	science	NOUN
american_scientific_journal-4934	75	12	(	(	PUNCT
american_scientific_journal-4934	75	13	asrjets	asrjet	NOUN
american_scientific_journal-4934	75	14	)	)	PUNCT
american_scientific_journal-4934	75	15	(	(	PUNCT
american_scientific_journal-4934	75	16	2019	2019	NUM
american_scientific_journal-4934	75	17	)	)	PUNCT
american_scientific_journal-4934	75	18	volume	volume	NOUN
american_scientific_journal-4934	75	19	56	56	NUM
american_scientific_journal-4934	75	20	,	,	PUNCT
american_scientific_journal-4934	75	21	no	no	DET
american_scientific_journal-4934	75	22	1	1	NUM
american_scientific_journal-4934	75	23	,	,	PUNCT
american_scientific_journal-4934	75	24	pp	pp	ADV
american_scientific_journal-4934	75	25	218	218	NUM
american_scientific_journal-4934	75	26	-	-	SYM
american_scientific_journal-4934	75	27	229	229	NUM
american_scientific_journal-4934	75	28	228	228	NUM
american_scientific_journal-4934	75	29	figure	figure	NOUN
american_scientific_journal-4934	75	30	1	1	NUM
american_scientific_journal-4934	75	31	:	:	PUNCT
american_scientific_journal-4934	75	32	pore	pore	VERB
american_scientific_journal-4934	75	33	water	water	NOUN
american_scientific_journal-4934	75	34	pressure	pressure	NOUN
american_scientific_journal-4934	75	35	plot	plot	NOUN
american_scientific_journal-4934	75	36	5	5	NUM
american_scientific_journal-4934	75	37	.	.	PUNCT
american_scientific_journal-4934	75	38	conclusion	conclusion	VERB
american_scientific_journal-4934	75	39	the	the	DET
american_scientific_journal-4934	75	40	one	one	NUM
american_scientific_journal-4934	75	41	dimensional	dimensional	ADJ
american_scientific_journal-4934	75	42	consolidation	consolidation	NOUN
american_scientific_journal-4934	75	43	problem	problem	NOUN
american_scientific_journal-4934	75	44	developed	develop	VERB
american_scientific_journal-4934	75	45	by	by	ADP
american_scientific_journal-4934	75	46	terzaghi	terzaghi	PROPN
american_scientific_journal-4934	75	47	has	have	AUX
american_scientific_journal-4934	75	48	been	be	AUX
american_scientific_journal-4934	75	49	expanded	expand	VERB
american_scientific_journal-4934	75	50	to	to	ADP
american_scientific_journal-4934	75	51	a	a	DET
american_scientific_journal-4934	75	52	two	two	NUM
american_scientific_journal-4934	75	53	dimensional	dimensional	ADJ
american_scientific_journal-4934	75	54	to	to	PART
american_scientific_journal-4934	75	55	help	help	VERB
american_scientific_journal-4934	75	56	simulate	simulate	VERB
american_scientific_journal-4934	75	57	field	field	NOUN
american_scientific_journal-4934	75	58	condition	condition	NOUN
american_scientific_journal-4934	75	59	.	.	PUNCT
american_scientific_journal-4934	76	1	the	the	DET
american_scientific_journal-4934	76	2	validation	validation	NOUN
american_scientific_journal-4934	76	3	of	of	ADP
american_scientific_journal-4934	76	4	the	the	DET
american_scientific_journal-4934	76	5	equation	equation	NOUN
american_scientific_journal-4934	76	6	,	,	PUNCT
american_scientific_journal-4934	76	7	was	be	AUX
american_scientific_journal-4934	76	8	carried	carry	VERB
american_scientific_journal-4934	76	9	out	out	ADP
american_scientific_journal-4934	76	10	using	use	VERB
american_scientific_journal-4934	76	11	consolidation	consolidation	NOUN
american_scientific_journal-4934	76	12	parameters	parameter	NOUN
american_scientific_journal-4934	76	13	obtained	obtain	VERB
american_scientific_journal-4934	76	14	from	from	ADP
american_scientific_journal-4934	76	15	laboratory	laboratory	NOUN
american_scientific_journal-4934	76	16	test	test	NOUN
american_scientific_journal-4934	76	17	carried	carry	VERB
american_scientific_journal-4934	76	18	out	out	ADP
american_scientific_journal-4934	76	19	on	on	ADP
american_scientific_journal-4934	76	20	a	a	DET
american_scientific_journal-4934	76	21	cohesive	cohesive	ADJ
american_scientific_journal-4934	76	22	soil	soil	NOUN
american_scientific_journal-4934	76	23	.	.	PUNCT
american_scientific_journal-4934	77	1	the	the	DET
american_scientific_journal-4934	77	2	initial	initial	ADJ
american_scientific_journal-4934	77	3	pore	pore	ADJ
american_scientific_journal-4934	77	4	pressure	pressure	NOUN
american_scientific_journal-4934	77	5	of	of	ADP
american_scientific_journal-4934	77	6	100kpa	100kpa	NUM
american_scientific_journal-4934	77	7	can	can	AUX
american_scientific_journal-4934	77	8	be	be	AUX
american_scientific_journal-4934	77	9	seen	see	VERB
american_scientific_journal-4934	77	10	to	to	PART
american_scientific_journal-4934	77	11	be	be	AUX
american_scientific_journal-4934	77	12	reducing	reduce	VERB
american_scientific_journal-4934	77	13	as	as	ADP
american_scientific_journal-4934	77	14	the	the	DET
american_scientific_journal-4934	77	15	time	time	NOUN
american_scientific_journal-4934	77	16	increases	increase	VERB
american_scientific_journal-4934	77	17	.	.	PUNCT
american_scientific_journal-4934	78	1	the	the	DET
american_scientific_journal-4934	78	2	equation	equation	NOUN
american_scientific_journal-4934	78	3	can	can	AUX
american_scientific_journal-4934	78	4	be	be	AUX
american_scientific_journal-4934	78	5	used	use	VERB
american_scientific_journal-4934	78	6	for	for	ADP
american_scientific_journal-4934	78	7	two	two	NUM
american_scientific_journal-4934	78	8	dimensional	dimensional	ADJ
american_scientific_journal-4934	78	9	consolidation	consolidation	NOUN
american_scientific_journal-4934	78	10	problem	problem	NOUN
american_scientific_journal-4934	78	11	.	.	PUNCT
american_scientific_journal-4934	79	1	acknowledgement	acknowledgement	NOUN
american_scientific_journal-4934	79	2	we	we	PRON
american_scientific_journal-4934	79	3	are	be	AUX
american_scientific_journal-4934	79	4	grateful	grateful	ADJ
american_scientific_journal-4934	79	5	to	to	ADP
american_scientific_journal-4934	79	6	the	the	DET
american_scientific_journal-4934	79	7	management	management	NOUN
american_scientific_journal-4934	79	8	and	and	CCONJ
american_scientific_journal-4934	79	9	staff	staff	NOUN
american_scientific_journal-4934	79	10	of	of	ADP
american_scientific_journal-4934	79	11	fugro	fugro	PROPN
american_scientific_journal-4934	79	12	nigeria	nigeria	PROPN
american_scientific_journal-4934	79	13	limited	limit	VERB
american_scientific_journal-4934	79	14	for	for	ADP
american_scientific_journal-4934	79	15	sharing	share	VERB
american_scientific_journal-4934	79	16	their	their	PRON
american_scientific_journal-4934	79	17	wealth	wealth	NOUN
american_scientific_journal-4934	79	18	of	of	ADP
american_scientific_journal-4934	79	19	experience	experience	NOUN
american_scientific_journal-4934	79	20	with	with	ADP
american_scientific_journal-4934	79	21	us	we	PRON
american_scientific_journal-4934	79	22	during	during	ADP
american_scientific_journal-4934	79	23	the	the	DET
american_scientific_journal-4934	79	24	course	course	NOUN
american_scientific_journal-4934	79	25	of	of	ADP
american_scientific_journal-4934	79	26	this	this	DET
american_scientific_journal-4934	79	27	research	research	NOUN
american_scientific_journal-4934	79	28	.	.	PUNCT
american_scientific_journal-4934	80	1	we	we	PRON
american_scientific_journal-4934	80	2	also	also	ADV
american_scientific_journal-4934	80	3	wish	wish	VERB
american_scientific_journal-4934	80	4	to	to	PART
american_scientific_journal-4934	80	5	thank	thank	VERB
american_scientific_journal-4934	80	6	engr	engr	NOUN
american_scientific_journal-4934	80	7	.	.	PUNCT
american_scientific_journal-4934	81	1	matthias	matthias	PROPN
american_scientific_journal-4934	81	2	imomoh	imomoh	PROPN
american_scientific_journal-4934	81	3	and	and	CCONJ
american_scientific_journal-4934	81	4	mr	mr	PROPN
american_scientific_journal-4934	81	5	.	.	PROPN
american_scientific_journal-4934	81	6	wole	wole	PROPN
american_scientific_journal-4934	81	7	phillips	phillips	PROPN
american_scientific_journal-4934	81	8	for	for	ADP
american_scientific_journal-4934	81	9	their	their	PRON
american_scientific_journal-4934	81	10	contribution	contribution	NOUN
american_scientific_journal-4934	81	11	towards	towards	ADP
american_scientific_journal-4934	81	12	the	the	DET
american_scientific_journal-4934	81	13	development	development	NOUN
american_scientific_journal-4934	81	14	of	of	ADP
american_scientific_journal-4934	81	15	this	this	DET
american_scientific_journal-4934	81	16	manuscript	manuscript	NOUN
american_scientific_journal-4934	81	17	.	.	PUNCT
american_scientific_journal-4934	82	1	references	reference	NOUN
american_scientific_journal-4934	82	2	[	[	X
american_scientific_journal-4934	82	3	1	1	NUM
american_scientific_journal-4934	82	4	]	]	PUNCT
american_scientific_journal-4934	82	5	.	.	PUNCT
american_scientific_journal-4934	83	1	k.	k.	PROPN
american_scientific_journal-4934	83	2	r	r	PROPN
american_scientific_journal-4934	83	3	arora	arora	PROPN
american_scientific_journal-4934	83	4	.	.	PUNCT
american_scientific_journal-4934	84	1	consolidation	consolidation	NOUN
american_scientific_journal-4934	84	2	of	of	ADP
american_scientific_journal-4934	84	3	soil	soil	NOUN
american_scientific_journal-4934	84	4	in	in	ADP
american_scientific_journal-4934	84	5	soil	soil	NOUN
american_scientific_journal-4934	84	6	mechanics	mechanic	NOUN
american_scientific_journal-4934	84	7	and	and	CCONJ
american_scientific_journal-4934	84	8	foundation	foundation	PROPN
american_scientific_journal-4934	84	9	engineering	engineering	PROPN
american_scientific_journal-4934	84	10	,	,	PUNCT
american_scientific_journal-4934	84	11	6th	6th	ADJ
american_scientific_journal-4934	84	12	edition	edition	NOUN
american_scientific_journal-4934	84	13	,	,	PUNCT
american_scientific_journal-4934	84	14	a.k	a.k	PROPN
american_scientific_journal-4934	84	15	jain	jain	PROPN
american_scientific_journal-4934	84	16	,	,	PUNCT
american_scientific_journal-4934	84	17	nai	nai	PROPN
american_scientific_journal-4934	84	18	sarak	sarak	PROPN
american_scientific_journal-4934	84	19	,	,	PUNCT
american_scientific_journal-4934	84	20	delhi	delhi	PROPN
american_scientific_journal-4934	84	21	,	,	PUNCT
american_scientific_journal-4934	84	22	2004	2004	NUM
american_scientific_journal-4934	84	23	,	,	PUNCT
american_scientific_journal-4934	84	24	pp	pp	ADV
american_scientific_journal-4934	84	25	.	.	PUNCT
american_scientific_journal-4934	85	1	256	256	NUM
american_scientific_journal-4934	85	2	305	305	NUM
american_scientific_journal-4934	86	1	[	[	X
american_scientific_journal-4934	86	2	2	2	NUM
american_scientific_journal-4934	86	3	]	]	PUNCT
american_scientific_journal-4934	86	4	.	.	PUNCT
american_scientific_journal-4934	87	1	r.d	r.d	PROPN
american_scientific_journal-4934	87	2	.	.	PROPN
american_scientific_journal-4934	87	3	francesco	francesco	PROPN
american_scientific_journal-4934	87	4	.	.	PUNCT
american_scientific_journal-4934	88	1	“	"	PUNCT
american_scientific_journal-4934	88	2	exact	exact	ADJ
american_scientific_journal-4934	88	3	solution	solution	NOUN
american_scientific_journal-4934	88	4	of	of	ADP
american_scientific_journal-4934	88	5	terzaghi	terzaghi	PROPN
american_scientific_journal-4934	88	6	’s	’s	PART
american_scientific_journal-4934	88	7	consolidation	consolidation	NOUN
american_scientific_journal-4934	88	8	equation	equation	NOUN
american_scientific_journal-4934	88	9	and	and	CCONJ
american_scientific_journal-4934	88	10	extension	extension	NOUN
american_scientific_journal-4934	88	11	to	to	ADP
american_scientific_journal-4934	88	12	two	two	NUM
american_scientific_journal-4934	88	13	/	/	SYM
american_scientific_journal-4934	88	14	threedimensional	threedimensional	ADJ
american_scientific_journal-4934	88	15	cases	case	NOUN
american_scientific_journal-4934	88	16	”	"	PUNCT
american_scientific_journal-4934	88	17	applied	apply	VERB
american_scientific_journal-4934	88	18	mathematics	mathematic	NOUN
american_scientific_journal-4934	88	19	,	,	PUNCT
american_scientific_journal-4934	88	20	volume	volume	NOUN
american_scientific_journal-4934	88	21	4	4	NUM
american_scientific_journal-4934	88	22	,	,	PUNCT
american_scientific_journal-4934	88	23	pp	pp	ADJ
american_scientific_journal-4934	88	24	.	.	PUNCT
american_scientific_journal-4934	89	1	713	713	NUM
american_scientific_journal-4934	89	2	-	-	SYM
american_scientific_journal-4934	89	3	717	717	NUM
american_scientific_journal-4934	89	4	.	.	PUNCT
american_scientific_journal-4934	90	1	2013	2013	NUM
american_scientific_journal-4934	91	1	[	[	X
american_scientific_journal-4934	91	2	3	3	NUM
american_scientific_journal-4934	91	3	]	]	PUNCT
american_scientific_journal-4934	91	4	.	.	PUNCT
american_scientific_journal-4934	92	1	l.	l.	PROPN
american_scientific_journal-4934	92	2	ho	ho	PROPN
american_scientific_journal-4934	92	3	,	,	PUNCT
american_scientific_journal-4934	92	4	b.	b.	PROPN
american_scientific_journal-4934	92	5	fatahi	fatahi	PROPN
american_scientific_journal-4934	92	6	,	,	PUNCT
american_scientific_journal-4934	92	7	.	.	PUNCT
american_scientific_journal-4934	93	1	“	"	PUNCT
american_scientific_journal-4934	93	2	analytical	analytical	ADJ
american_scientific_journal-4934	93	3	solution	solution	NOUN
american_scientific_journal-4934	93	4	for	for	ADP
american_scientific_journal-4934	93	5	the	the	DET
american_scientific_journal-4934	93	6	two	two	NUM
american_scientific_journal-4934	93	7	-	-	PUNCT
american_scientific_journal-4934	93	8	dimensional	dimensional	ADJ
american_scientific_journal-4934	93	9	plane	plane	NOUN
american_scientific_journal-4934	93	10	strain	strain	NOUN
american_scientific_journal-4934	93	11	consolidation	consolidation	NOUN
american_scientific_journal-4934	93	12	of	of	ADP
american_scientific_journal-4934	93	13	an	an	DET
american_scientific_journal-4934	93	14	unsaturated	unsaturated	ADJ
american_scientific_journal-4934	93	15	soil	soil	NOUN
american_scientific_journal-4934	93	16	stratum	stratum	NOUN
american_scientific_journal-4934	93	17	subjected	subject	VERB
american_scientific_journal-4934	93	18	to	to	ADP
american_scientific_journal-4934	93	19	time	time	NOUN
american_scientific_journal-4934	93	20	-	-	PUNCT
american_scientific_journal-4934	93	21	dependent	dependent	ADJ
american_scientific_journal-4934	93	22	loading	loading	NOUN
american_scientific_journal-4934	93	23	”	"	PUNCT
american_scientific_journal-4934	93	24	compute	compute	NOUN
american_scientific_journal-4934	93	25	geotech	geotech	NOUN
american_scientific_journal-4934	93	26	,	,	PUNCT
american_scientific_journal-4934	93	27	67	67	NUM
american_scientific_journal-4934	93	28	,	,	PUNCT
american_scientific_journal-4934	93	29	pp	pp	PROPN
american_scientific_journal-4934	93	30	.	.	PUNCT
american_scientific_journal-4934	94	1	1–16	1–16	PROPN
american_scientific_journal-4934	94	2	aug	aug	PROPN
american_scientific_journal-4934	94	3	2015	2015	NUM
american_scientific_journal-4934	94	4	[	[	X
american_scientific_journal-4934	94	5	4	4	NUM
american_scientific_journal-4934	94	6	]	]	PUNCT
american_scientific_journal-4934	94	7	.	.	PUNCT
american_scientific_journal-4934	95	1	l.	l.	PROPN
american_scientific_journal-4934	95	2	ho	ho	PROPN
american_scientific_journal-4934	95	3	,	,	PUNCT
american_scientific_journal-4934	95	4	b.	b.	PROPN
american_scientific_journal-4934	95	5	fatahi	fatahi	PROPN
american_scientific_journal-4934	95	6	,	,	PUNCT
american_scientific_journal-4934	95	7	h.	h.	PROPN
american_scientific_journal-4934	95	8	khabbaz	khabbaz	PROPN
american_scientific_journal-4934	95	9	,	,	PUNCT
american_scientific_journal-4934	95	10	“	"	PUNCT
american_scientific_journal-4934	95	11	a	a	DET
american_scientific_journal-4934	95	12	closed	closed	ADJ
american_scientific_journal-4934	95	13	form	form	NOUN
american_scientific_journal-4934	95	14	analytical	analytical	ADJ
american_scientific_journal-4934	95	15	solution	solution	NOUN
american_scientific_journal-4934	95	16	for	for	ADP
american_scientific_journal-4934	95	17	two	two	NUM
american_scientific_journal-4934	95	18	-	-	PUNCT
american_scientific_journal-4934	95	19	dimensional	dimensional	ADJ
american_scientific_journal-4934	95	20	plane	plane	NOUN
american_scientific_journal-4934	95	21	strain	strain	NOUN
american_scientific_journal-4934	95	22	consolidation	consolidation	NOUN
american_scientific_journal-4934	95	23	of	of	ADP
american_scientific_journal-4934	95	24	unsaturated	unsaturated	ADJ
american_scientific_journal-4934	95	25	soil	soil	NOUN
american_scientific_journal-4934	95	26	stratum	stratum	NOUN
american_scientific_journal-4934	95	27	”	"	PUNCT
american_scientific_journal-4934	95	28	.	.	PUNCT
american_scientific_journal-4934	96	1	int	int	NOUN
american_scientific_journal-4934	96	2	.	.	PUNCT
american_scientific_journal-4934	97	1	j.	j.	PROPN
american_scientific_journal-4934	97	2	number	number	PROPN
american_scientific_journal-4934	97	3	.	.	PUNCT
american_scientific_journal-4934	98	1	anal	anal	PROPN
american_scientific_journal-4934	98	2	.	.	PUNCT
american_scientific_journal-4934	98	3	met	meet	VERB
american_scientific_journal-4934	98	4	.	.	PUNCT
american_scientific_journal-4934	99	1	geomech	geomech	PROPN
american_scientific_journal-4934	99	2	.	.	PUNCT
american_scientific_journal-4934	100	1	vol	vol	NOUN
american_scientific_journal-4934	100	2	39	39	NUM
american_scientific_journal-4934	100	3	,	,	PUNCT
american_scientific_journal-4934	100	4	pp	pp	ADJ
american_scientific_journal-4934	100	5	.	.	PUNCT
american_scientific_journal-4934	101	1	1665	1665	NUM
american_scientific_journal-4934	101	2	–	–	PUNCT
american_scientific_journal-4934	101	3	1692	1692	NUM
american_scientific_journal-4934	101	4	.	.	PUNCT
american_scientific_journal-4934	102	1	2015	2015	NUM
american_scientific_journal-4934	102	2	0	0	NUM
american_scientific_journal-4934	102	3	20	20	NUM
american_scientific_journal-4934	102	4	40	40	NUM
american_scientific_journal-4934	102	5	60	60	NUM
american_scientific_journal-4934	102	6	80	80	NUM
american_scientific_journal-4934	102	7	100	100	NUM
american_scientific_journal-4934	102	8	120	120	NUM
american_scientific_journal-4934	102	9	0	0	NUM
american_scientific_journal-4934	102	10	0.5	0.5	NUM
american_scientific_journal-4934	102	11	1	1	NUM
american_scientific_journal-4934	102	12	1.5	1.5	NUM
american_scientific_journal-4934	102	13	2	2	NUM
american_scientific_journal-4934	102	14	2.5	2.5	NUM
american_scientific_journal-4934	102	15	po	po	NOUN
american_scientific_journal-4934	102	16	re	re	ADP
american_scientific_journal-4934	102	17	p	p	NOUN
american_scientific_journal-4934	102	18	re	re	ADP
american_scientific_journal-4934	102	19	ss	ss	INTJ
american_scientific_journal-4934	102	20	ur	ur	INTJ
american_scientific_journal-4934	102	21	e	e	PROPN
american_scientific_journal-4934	102	22	(	(	PUNCT
american_scientific_journal-4934	102	23	k	k	PROPN
american_scientific_journal-4934	102	24	pa	pa	PROPN
american_scientific_journal-4934	102	25	)	)	PUNCT
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american_scientific_journal-4934	102	27	(	(	PUNCT
american_scientific_journal-4934	102	28	m	m	NOUN
american_scientific_journal-4934	102	29	)	)	PUNCT
american_scientific_journal-4934	102	30	10	10	NUM
american_scientific_journal-4934	102	31	days	day	NOUN
american_scientific_journal-4934	102	32	100	100	NUM
american_scientific_journal-4934	102	33	days	day	NOUN
american_scientific_journal-4934	102	34	600	600	NUM
american_scientific_journal-4934	102	35	days	day	NOUN
american_scientific_journal-4934	102	36	1000	1000	NUM
american_scientific_journal-4934	102	37	days	day	NOUN
american_scientific_journal-4934	102	38	american	american	ADJ
american_scientific_journal-4934	102	39	scientific	scientific	ADJ
american_scientific_journal-4934	102	40	research	research	NOUN
american_scientific_journal-4934	102	41	journal	journal	NOUN
american_scientific_journal-4934	102	42	for	for	ADP
american_scientific_journal-4934	102	43	engineering	engineering	NOUN
american_scientific_journal-4934	102	44	,	,	PUNCT
american_scientific_journal-4934	102	45	technology	technology	NOUN
american_scientific_journal-4934	102	46	,	,	PUNCT
american_scientific_journal-4934	102	47	and	and	CCONJ
american_scientific_journal-4934	102	48	sciences	science	NOUN
american_scientific_journal-4934	102	49	(	(	PUNCT
american_scientific_journal-4934	102	50	asrjets	asrjet	NOUN
american_scientific_journal-4934	102	51	)	)	PUNCT
american_scientific_journal-4934	102	52	(	(	PUNCT
american_scientific_journal-4934	102	53	2019	2019	NUM
american_scientific_journal-4934	102	54	)	)	PUNCT
american_scientific_journal-4934	102	55	volume	volume	NOUN
american_scientific_journal-4934	102	56	56	56	NUM
american_scientific_journal-4934	102	57	,	,	PUNCT
american_scientific_journal-4934	102	58	no	no	DET
american_scientific_journal-4934	102	59	1	1	NUM
american_scientific_journal-4934	102	60	,	,	PUNCT
american_scientific_journal-4934	102	61	pp	pp	ADV
american_scientific_journal-4934	102	62	218	218	NUM
american_scientific_journal-4934	102	63	-	-	SYM
american_scientific_journal-4934	102	64	229	229	NUM
american_scientific_journal-4934	102	65	229	229	NUM
american_scientific_journal-4934	103	1	[	[	X
american_scientific_journal-4934	103	2	5	5	NUM
american_scientific_journal-4934	103	3	]	]	PUNCT
american_scientific_journal-4934	103	4	.	.	PUNCT
american_scientific_journal-4934	104	1	s.	s.	PROPN
american_scientific_journal-4934	104	2	inoue	inoue	PROPN
american_scientific_journal-4934	104	3	.	.	PUNCT
american_scientific_journal-4934	105	1	“	"	PUNCT
american_scientific_journal-4934	105	2	an	an	DET
american_scientific_journal-4934	105	3	example	example	NOUN
american_scientific_journal-4934	105	4	of	of	ADP
american_scientific_journal-4934	105	5	two	two	NUM
american_scientific_journal-4934	105	6	-	-	PUNCT
american_scientific_journal-4934	105	7	dimensional	dimensional	ADJ
american_scientific_journal-4934	105	8	consolidation	consolidation	NOUN
american_scientific_journal-4934	105	9	testing	testing	NOUN
american_scientific_journal-4934	105	10	and	and	CCONJ
american_scientific_journal-4934	105	11	numerical	numerical	ADJ
american_scientific_journal-4934	105	12	procedures	procedure	NOUN
american_scientific_journal-4934	105	13	for	for	ADP
american_scientific_journal-4934	105	14	embankment	embankment	ADJ
american_scientific_journal-4934	105	15	materials	material	NOUN
american_scientific_journal-4934	105	16	”	"	PUNCT
american_scientific_journal-4934	105	17	irrigation	irrigation	NOUN
american_scientific_journal-4934	105	18	engineering	engineering	NOUN
american_scientific_journal-4934	105	19	and	and	CCONJ
american_scientific_journal-4934	105	20	rural	rural	ADJ
american_scientific_journal-4934	105	21	planning	planning	NOUN
american_scientific_journal-4934	105	22	no.21	no.21	NOUN
american_scientific_journal-4934	105	23	,	,	PUNCT
american_scientific_journal-4934	105	24	pp	pp	ADJ
american_scientific_journal-4934	105	25	.	.	PUNCT
american_scientific_journal-4934	106	1	4	4	NUM
american_scientific_journal-4934	106	2	-	-	SYM
american_scientific_journal-4934	106	3	14	14	NUM
american_scientific_journal-4934	106	4	.	.	PUNCT
american_scientific_journal-4934	106	5	1991	1991	NUM
american_scientific_journal-4934	107	1	[	[	X
american_scientific_journal-4934	107	2	6	6	NUM
american_scientific_journal-4934	107	3	]	]	PUNCT
american_scientific_journal-4934	107	4	.	.	PUNCT
american_scientific_journal-4934	108	1	f.	f.	PROPN
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american_scientific_journal-4934	108	3	,	,	PUNCT
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american_scientific_journal-4934	108	5	,	,	PUNCT
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american_scientific_journal-4934	108	8	.	.	PUNCT
american_scientific_journal-4934	109	1	“	"	PUNCT
american_scientific_journal-4934	109	2	two	two	NUM
american_scientific_journal-4934	109	3	-	-	PUNCT
american_scientific_journal-4934	109	4	dimensional	dimensional	ADJ
american_scientific_journal-4934	109	5	consolidation	consolidation	NOUN
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american_scientific_journal-4934	109	7	using	use	VERB
american_scientific_journal-4934	109	8	an	an	DET
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american_scientific_journal-4934	109	10	-	-	PUNCT
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american_scientific_journal-4934	109	12	constitutive	constitutive	ADJ
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american_scientific_journal-4934	109	14	”	"	PUNCT
american_scientific_journal-4934	109	15	international	international	ADJ
american_scientific_journal-4934	109	16	journal	journal	NOUN
american_scientific_journal-4934	109	17	for	for	ADP
american_scientific_journal-4934	109	18	numerical	numerical	ADJ
american_scientific_journal-4934	109	19	and	and	CCONJ
american_scientific_journal-4934	109	20	analytical	analytical	ADJ
american_scientific_journal-4934	109	21	methods	method	NOUN
american_scientific_journal-4934	109	22	in	in	ADP
american_scientific_journal-4934	109	23	geomechanics	geomechanic	NOUN
american_scientific_journal-4934	109	24	,	,	PUNCT
american_scientific_journal-4934	109	25	vol	vol	NOUN
american_scientific_journal-4934	109	26	.	.	PROPN
american_scientific_journal-4934	109	27	10	10	NUM
american_scientific_journal-4934	109	28	,	,	PUNCT
american_scientific_journal-4934	109	29	pp	pp	ADJ
american_scientific_journal-4934	109	30	.	.	PUNCT
american_scientific_journal-4934	110	1	116	116	NUM
american_scientific_journal-4934	110	2	.	.	PUNCT
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american_scientific_journal-4934	111	3	.	.	PUNCT
american_scientific_journal-4934	112	1	[	[	X
american_scientific_journal-4934	112	2	7	7	NUM
american_scientific_journal-4934	112	3	]	]	PUNCT
american_scientific_journal-4934	112	4	.	.	PUNCT
american_scientific_journal-4934	113	1	j.q	j.q	PROPN
american_scientific_journal-4934	113	2	.	.	PROPN
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american_scientific_journal-4934	113	4	,	,	PUNCT
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american_scientific_journal-4934	113	6	wang	wang	PROPN
american_scientific_journal-4934	113	7	.	.	PUNCT
american_scientific_journal-4934	114	1	two	two	NUM
american_scientific_journal-4934	114	2	-	-	PUNCT
american_scientific_journal-4934	114	3	dimensional	dimensional	ADJ
american_scientific_journal-4934	114	4	consolidation	consolidation	NOUN
american_scientific_journal-4934	114	5	theory	theory	NOUN
american_scientific_journal-4934	114	6	of	of	ADP
american_scientific_journal-4934	114	7	electro	electro	NOUN
american_scientific_journal-4934	114	8	-	-	PUNCT
american_scientific_journal-4934	114	9	osmosis	osmosis	NOUN
american_scientific_journal-4934	114	10	.	.	PUNCT
american_scientific_journal-4934	115	1	geotechnique	geotechnique	ADJ
american_scientific_journal-4934	115	2	vol	vol	NOUN
american_scientific_journal-4934	115	3	53	53	NUM
american_scientific_journal-4934	115	4	,	,	PUNCT
american_scientific_journal-4934	115	5	no	no	INTJ
american_scientific_journal-4934	115	6	.	.	NOUN
american_scientific_journal-4934	115	7	8	8	NUM
american_scientific_journal-4934	115	8	,	,	PUNCT
american_scientific_journal-4934	115	9	pp	pp	ADP
american_scientific_journal-4934	115	10	759–763	759–763	NUM
american_scientific_journal-4934	115	11	.	.	PUNCT
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american_scientific_journal-4934	115	13	2003	2003	NUM
american_scientific_journal-4934	115	14	.	.	PUNCT
american_scientific_journal-4934	116	1	[	[	X
american_scientific_journal-4934	116	2	8	8	NUM
american_scientific_journal-4934	116	3	]	]	PUNCT
american_scientific_journal-4934	116	4	.	.	PUNCT
american_scientific_journal-4934	117	1	s.s	s.s	PROPN
american_scientific_journal-4934	117	2	.	.	PROPN
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american_scientific_journal-4934	117	4	,	,	PUNCT
american_scientific_journal-4934	117	5	a.a	a.a	PROPN
american_scientific_journal-4934	117	6	.	.	PROPN
american_scientific_journal-4934	117	7	al	al	PROPN
american_scientific_journal-4934	117	8	-	-	PUNCT
american_scientific_journal-4934	117	9	zayadi	zayadi	NOUN
american_scientific_journal-4934	117	10	.	.	PUNCT
american_scientific_journal-4934	118	1	“	"	PUNCT
american_scientific_journal-4934	118	2	design	design	VERB
american_scientific_journal-4934	118	3	charts	chart	NOUN
american_scientific_journal-4934	118	4	for	for	ADP
american_scientific_journal-4934	118	5	2d	2d	NUM
american_scientific_journal-4934	118	6	consolidation	consolidation	NOUN
american_scientific_journal-4934	118	7	under	under	ADP
american_scientific_journal-4934	118	8	time	time	NOUN
american_scientific_journal-4934	118	9	-	-	PUNCT
american_scientific_journal-4934	118	10	dependent	dependent	ADJ
american_scientific_journal-4934	118	11	embankment	embankment	ADJ
american_scientific_journal-4934	118	12	loading	loading	NOUN
american_scientific_journal-4934	118	13	”	"	PUNCT
american_scientific_journal-4934	118	14	quarterly	quarterly	ADJ
american_scientific_journal-4934	118	15	journal	journal	NOUN
american_scientific_journal-4934	118	16	of	of	ADP
american_scientific_journal-4934	118	17	engineering	engineering	NOUN
american_scientific_journal-4934	118	18	geology	geology	NOUN
american_scientific_journal-4934	118	19	and	and	CCONJ
american_scientific_journal-4934	118	20	hydrogeology	hydrogeology	NOUN
american_scientific_journal-4934	118	21	,	,	PUNCT
american_scientific_journal-4934	118	22	vol	vol	NOUN
american_scientific_journal-4934	118	23	36	36	NUM
american_scientific_journal-4934	118	24	,	,	PUNCT
american_scientific_journal-4934	118	25	pp	pp	ADJ
american_scientific_journal-4934	118	26	.	.	PUNCT
american_scientific_journal-4934	118	27	246260	246260	NUM
american_scientific_journal-4934	118	28	,	,	PUNCT
american_scientific_journal-4934	118	29	apr	apr	PROPN
american_scientific_journal-4934	118	30	2003	2003	NUM
american_scientific_journal-4934	118	31	.	.	PUNCT
american_scientific_journal-4934	119	1	the	the	DET
american_scientific_journal-4934	119	2	result	result	NOUN
american_scientific_journal-4934	119	3	of	of	ADP
american_scientific_journal-4934	119	4	the	the	DET
american_scientific_journal-4934	119	5	predicted	predict	VERB
american_scientific_journal-4934	119	6	pore	pore	ADJ
american_scientific_journal-4934	119	7	water	water	NOUN
american_scientific_journal-4934	119	8	pressure	pressure	NOUN
american_scientific_journal-4934	119	9	using	use	VERB
american_scientific_journal-4934	119	10	the	the	DET
american_scientific_journal-4934	119	11	developed	develop	VERB
american_scientific_journal-4934	119	12	analytical	analytical	ADJ
american_scientific_journal-4934	119	13	method	method	NOUN
american_scientific_journal-4934	119	14	showed	show	VERB
american_scientific_journal-4934	119	15	a	a	DET
american_scientific_journal-4934	119	16	decrease	decrease	NOUN
american_scientific_journal-4934	119	17	in	in	ADP
american_scientific_journal-4934	119	18	pore	pore	ADJ
american_scientific_journal-4934	119	19	water	water	NOUN
american_scientific_journal-4934	119	20	pressure	pressure	NOUN
american_scientific_journal-4934	119	21	at	at	ADP
american_scientific_journal-4934	119	22	various	various	ADJ
american_scientific_journal-4934	119	23	depth	depth	NOUN
american_scientific_journal-4934	119	24	with	with	ADP
american_scientific_journal-4934	119	25	time	time	NOUN
american_scientific_journal-4934	119	26	.	.	PUNCT