id	sid	tid	token	lemma	pos
american_scientific_journal-2675	1	1	201	201	NUM
american_scientific_journal-2675	1	2	american	american	ADJ
american_scientific_journal-2675	1	3	scientific	scientific	ADJ
american_scientific_journal-2675	1	4	research	research	NOUN
american_scientific_journal-2675	1	5	journal	journal	NOUN
american_scientific_journal-2675	1	6	for	for	ADP
american_scientific_journal-2675	1	7	engineering	engineering	NOUN
american_scientific_journal-2675	1	8	,	,	PUNCT
american_scientific_journal-2675	1	9	technology	technology	NOUN
american_scientific_journal-2675	1	10	,	,	PUNCT
american_scientific_journal-2675	1	11	and	and	CCONJ
american_scientific_journal-2675	1	12	sciences	science	NOUN
american_scientific_journal-2675	1	13	(	(	PUNCT
american_scientific_journal-2675	1	14	asrjets	asrjet	NOUN
american_scientific_journal-2675	1	15	)	)	PUNCT
american_scientific_journal-2675	1	16	issn	issn	PROPN
american_scientific_journal-2675	1	17	(	(	PUNCT
american_scientific_journal-2675	1	18	print	print	NOUN
american_scientific_journal-2675	1	19	)	)	PUNCT
american_scientific_journal-2675	1	20	2313	2313	NUM
american_scientific_journal-2675	1	21	-	-	SYM
american_scientific_journal-2675	1	22	4410	4410	NUM
american_scientific_journal-2675	1	23	,	,	PUNCT
american_scientific_journal-2675	1	24	issn	issn	PROPN
american_scientific_journal-2675	1	25	(	(	PUNCT
american_scientific_journal-2675	1	26	online	online	ADJ
american_scientific_journal-2675	1	27	)	)	PUNCT
american_scientific_journal-2675	1	28	2313	2313	NUM
american_scientific_journal-2675	1	29	-	-	SYM
american_scientific_journal-2675	1	30	4402	4402	NUM
american_scientific_journal-2675	1	31	©	©	PROPN
american_scientific_journal-2675	1	32	global	global	ADJ
american_scientific_journal-2675	1	33	society	society	NOUN
american_scientific_journal-2675	1	34	of	of	ADP
american_scientific_journal-2675	1	35	scientific	scientific	ADJ
american_scientific_journal-2675	1	36	research	research	NOUN
american_scientific_journal-2675	1	37	and	and	CCONJ
american_scientific_journal-2675	1	38	researchers	researcher	NOUN
american_scientific_journal-2675	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	VERB
american_scientific_journal-2675	1	40	thermoelastic	thermoelastic	ADJ
american_scientific_journal-2675	1	41	problem	problem	NOUN
american_scientific_journal-2675	1	42	of	of	ADP
american_scientific_journal-2675	1	43	an	an	DET
american_scientific_journal-2675	1	44	infinite	infinite	ADJ
american_scientific_journal-2675	1	45	plate	plate	NOUN
american_scientific_journal-2675	1	46	weakened	weaken	VERB
american_scientific_journal-2675	1	47	by	by	ADP
american_scientific_journal-2675	1	48	a	a	DET
american_scientific_journal-2675	1	49	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	1	50	hole	hole	NOUN
american_scientific_journal-2675	1	51	r.	r.	PROPN
american_scientific_journal-2675	1	52	t.	t.	PROPN
american_scientific_journal-2675	1	53	matoog	matoog	PROPN
american_scientific_journal-2675	1	54	*	*	PUNCT
american_scientific_journal-2675	1	55	department	department	PROPN
american_scientific_journal-2675	1	56	of	of	ADP
american_scientific_journal-2675	1	57	mathematics	mathematic	NOUN
american_scientific_journal-2675	1	58	,	,	PUNCT
american_scientific_journal-2675	1	59	faculty	faculty	NOUN
american_scientific_journal-2675	1	60	of	of	ADP
american_scientific_journal-2675	1	61	applied	apply	VERB
american_scientific_journal-2675	1	62	sciences	science	NOUN
american_scientific_journal-2675	1	63	,	,	PUNCT
american_scientific_journal-2675	1	64	university	university	NOUN
american_scientific_journal-2675	1	65	of	of	ADP
american_scientific_journal-2675	1	66	umm	umm	INTJ
american_scientific_journal-2675	1	67	al	al	PROPN
american_scientific_journal-2675	1	68	-	-	PUNCT
american_scientific_journal-2675	1	69	qura	qura	NOUN
american_scientific_journal-2675	1	70	,	,	PUNCT
american_scientific_journal-2675	1	71	ksa	ksa	PROPN
american_scientific_journal-2675	1	72	email	email	NOUN
american_scientific_journal-2675	1	73	:	:	PUNCT
american_scientific_journal-2675	1	74	rmatoog_777@mail.com	rmatoog_777@mail.com	PROPN
american_scientific_journal-2675	1	75	abstract	abstract	PROPN
american_scientific_journal-2675	1	76	mathematical	mathematical	ADJ
american_scientific_journal-2675	1	77	model	model	NOUN
american_scientific_journal-2675	1	78	is	be	AUX
american_scientific_journal-2675	1	79	considered	consider	VERB
american_scientific_journal-2675	1	80	,	,	PUNCT
american_scientific_journal-2675	1	81	to	to	PART
american_scientific_journal-2675	1	82	discuss	discuss	VERB
american_scientific_journal-2675	1	83	the	the	DET
american_scientific_journal-2675	1	84	analytic	analytic	ADJ
american_scientific_journal-2675	1	85	solution	solution	NOUN
american_scientific_journal-2675	1	86	of	of	ADP
american_scientific_journal-2675	1	87	the	the	DET
american_scientific_journal-2675	1	88	first	first	ADJ
american_scientific_journal-2675	1	89	and	and	CCONJ
american_scientific_journal-2675	1	90	second	second	ADJ
american_scientific_journal-2675	1	91	boundary	boundary	ADJ
american_scientific_journal-2675	1	92	value	value	NOUN
american_scientific_journal-2675	1	93	problems	problem	NOUN
american_scientific_journal-2675	1	94	(	(	PUNCT
american_scientific_journal-2675	1	95	bvps	bvps	NOUN
american_scientific_journal-2675	1	96	)	)	PUNCT
american_scientific_journal-2675	1	97	,	,	PUNCT
american_scientific_journal-2675	1	98	for	for	ADP
american_scientific_journal-2675	1	99	an	an	DET
american_scientific_journal-2675	1	100	infinite	infinite	ADJ
american_scientific_journal-2675	1	101	plate	plate	NOUN
american_scientific_journal-2675	1	102	weakened	weaken	VERB
american_scientific_journal-2675	1	103	by	by	ADP
american_scientific_journal-2675	1	104	a	a	DET
american_scientific_journal-2675	1	105	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	1	106	hole	hole	NOUN
american_scientific_journal-2675	1	107	c	c	VERB
american_scientific_journal-2675	1	108	having	have	VERB
american_scientific_journal-2675	1	109	two	two	NUM
american_scientific_journal-2675	1	110	poles	pole	NOUN
american_scientific_journal-2675	1	111	.	.	PUNCT
american_scientific_journal-2675	2	1	the	the	DET
american_scientific_journal-2675	2	2	elastic	elastic	ADJ
american_scientific_journal-2675	2	3	plate	plate	NOUN
american_scientific_journal-2675	2	4	carries	carry	VERB
american_scientific_journal-2675	2	5	a	a	DET
american_scientific_journal-2675	2	6	steady	steady	ADJ
american_scientific_journal-2675	2	7	uniformly	uniformly	ADV
american_scientific_journal-2675	2	8	distributed	distribute	VERB
american_scientific_journal-2675	2	9	axial	axial	ADJ
american_scientific_journal-2675	2	10	current	current	NOUN
american_scientific_journal-2675	2	11	of	of	ADP
american_scientific_journal-2675	2	12	density	density	NOUN
american_scientific_journal-2675	2	13	j	j	PROPN
american_scientific_journal-2675	2	14	and	and	CCONJ
american_scientific_journal-2675	2	15	is	be	AUX
american_scientific_journal-2675	2	16	placed	place	VERB
american_scientific_journal-2675	2	17	in	in	ADP
american_scientific_journal-2675	2	18	an	an	DET
american_scientific_journal-2675	2	19	ambient	ambient	ADJ
american_scientific_journal-2675	2	20	medium	medium	NOUN
american_scientific_journal-2675	2	21	of	of	ADP
american_scientific_journal-2675	2	22	steady	steady	ADJ
american_scientific_journal-2675	2	23	temperature	temperature	NOUN
american_scientific_journal-2675	2	24	.et	.et	PROPN
american_scientific_journal-2675	2	25	using	use	VERB
american_scientific_journal-2675	2	26	a	a	DET
american_scientific_journal-2675	2	27	conformal	conformal	ADJ
american_scientific_journal-2675	2	28	mapping	mapping	NOUN
american_scientific_journal-2675	2	29	function	function	NOUN
american_scientific_journal-2675	2	30	,	,	PUNCT
american_scientific_journal-2675	2	31	the	the	DET
american_scientific_journal-2675	2	32	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	2	33	hole	hole	NOUN
american_scientific_journal-2675	2	34	is	be	AUX
american_scientific_journal-2675	2	35	conformally	conformally	ADV
american_scientific_journal-2675	2	36	mapped	map	VERB
american_scientific_journal-2675	2	37	on	on	ADP
american_scientific_journal-2675	2	38	the	the	DET
american_scientific_journal-2675	2	39	domain	domain	NOUN
american_scientific_journal-2675	2	40	outside	outside	ADV
american_scientific_journal-2675	2	41	(	(	PUNCT
american_scientific_journal-2675	2	42	inside	inside	ADV
american_scientific_journal-2675	2	43	)	)	PUNCT
american_scientific_journal-2675	2	44	a	a	DET
american_scientific_journal-2675	2	45	unit	unit	NOUN
american_scientific_journal-2675	2	46	circle	circle	NOUN
american_scientific_journal-2675	2	47	.γ	.γ	PROPN
american_scientific_journal-2675	3	1	then	then	ADV
american_scientific_journal-2675	3	2	,	,	PUNCT
american_scientific_journal-2675	3	3	the	the	DET
american_scientific_journal-2675	3	4	gaursat	gaursat	NOUN
american_scientific_journal-2675	3	5	functions	function	NOUN
american_scientific_journal-2675	3	6	(	(	PUNCT
american_scientific_journal-2675	3	7	gfs	gfs	NOUN
american_scientific_journal-2675	3	8	)	)	PUNCT
american_scientific_journal-2675	3	9	are	be	AUX
american_scientific_journal-2675	3	10	determined	determine	VERB
american_scientific_journal-2675	3	11	.	.	PUNCT
american_scientific_journal-2675	4	1	moreover	moreover	ADV
american_scientific_journal-2675	4	2	,	,	PUNCT
american_scientific_journal-2675	4	3	the	the	DET
american_scientific_journal-2675	4	4	three	three	NUM
american_scientific_journal-2675	4	5	components	component	NOUN
american_scientific_journal-2675	4	6	of	of	ADP
american_scientific_journal-2675	4	7	stresses	stress	NOUN
american_scientific_journal-2675	4	8	,	,	PUNCT
american_scientific_journal-2675	4	9	in	in	ADP
american_scientific_journal-2675	4	10	the	the	DET
american_scientific_journal-2675	4	11	presence	presence	NOUN
american_scientific_journal-2675	4	12	of	of	ADP
american_scientific_journal-2675	4	13	temperature	temperature	NOUN
american_scientific_journal-2675	4	14	t	t	PROPN
american_scientific_journal-2675	4	15	distributed	distribute	VERB
american_scientific_journal-2675	4	16	around	around	ADP
american_scientific_journal-2675	4	17	the	the	DET
american_scientific_journal-2675	4	18	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	4	19	hole	hole	NOUN
american_scientific_journal-2675	4	20	are	be	AUX
american_scientific_journal-2675	4	21	completely	completely	ADV
american_scientific_journal-2675	4	22	determined	determine	VERB
american_scientific_journal-2675	4	23	.	.	PUNCT
american_scientific_journal-2675	5	1	many	many	ADJ
american_scientific_journal-2675	5	2	special	special	ADJ
american_scientific_journal-2675	5	3	and	and	CCONJ
american_scientific_journal-2675	5	4	new	new	ADJ
american_scientific_journal-2675	5	5	cases	case	NOUN
american_scientific_journal-2675	5	6	are	be	AUX
american_scientific_journal-2675	5	7	derived	derive	VERB
american_scientific_journal-2675	5	8	from	from	ADP
american_scientific_journal-2675	5	9	the	the	DET
american_scientific_journal-2675	5	10	work	work	NOUN
american_scientific_journal-2675	5	11	.	.	PUNCT
american_scientific_journal-2675	6	1	in	in	ADP
american_scientific_journal-2675	6	2	addition	addition	NOUN
american_scientific_journal-2675	6	3	,	,	PUNCT
american_scientific_journal-2675	6	4	many	many	ADJ
american_scientific_journal-2675	6	5	,	,	PUNCT
american_scientific_journal-2675	6	6	applications	application	NOUN
american_scientific_journal-2675	6	7	for	for	ADP
american_scientific_journal-2675	6	8	the	the	DET
american_scientific_journal-2675	6	9	first	first	ADJ
american_scientific_journal-2675	6	10	and	and	CCONJ
american_scientific_journal-2675	6	11	second	second	ADJ
american_scientific_journal-2675	6	12	bvps	bvps	NOUN
american_scientific_journal-2675	6	13	are	be	AUX
american_scientific_journal-2675	6	14	discussed	discuss	VERB
american_scientific_journal-2675	6	15	.	.	PUNCT
american_scientific_journal-2675	7	1	moreover	moreover	ADV
american_scientific_journal-2675	7	2	,	,	PUNCT
american_scientific_journal-2675	7	3	the	the	DET
american_scientific_journal-2675	7	4	three	three	NUM
american_scientific_journal-2675	7	5	stresses	stress	NOUN
american_scientific_journal-2675	7	6	components	component	NOUN
american_scientific_journal-2675	7	7	,	,	PUNCT
american_scientific_journal-2675	7	8	in	in	ADP
american_scientific_journal-2675	7	9	each	each	DET
american_scientific_journal-2675	7	10	application	application	NOUN
american_scientific_journal-2675	7	11	,	,	PUNCT
american_scientific_journal-2675	7	12	are	be	AUX
american_scientific_journal-2675	7	13	computed	compute	VERB
american_scientific_journal-2675	7	14	.	.	PUNCT
american_scientific_journal-2675	8	1	keywords	keyword	NOUN
american_scientific_journal-2675	8	2	:	:	PUNCT
american_scientific_journal-2675	8	3	boundary	boundary	ADJ
american_scientific_journal-2675	8	4	value	value	NOUN
american_scientific_journal-2675	8	5	problems	problem	NOUN
american_scientific_journal-2675	8	6	;	;	PUNCT
american_scientific_journal-2675	8	7	thermoelastic	thermoelastic	ADJ
american_scientific_journal-2675	8	8	plate	plate	NOUN
american_scientific_journal-2675	8	9	;	;	PUNCT
american_scientific_journal-2675	8	10	gaursat	gaursat	NOUN
american_scientific_journal-2675	8	11	functionsl	functionsl	VERB
american_scientific_journal-2675	8	12	;	;	PUNCT
american_scientific_journal-2675	8	13	rational	rational	ADJ
american_scientific_journal-2675	8	14	mapping	mapping	NOUN
american_scientific_journal-2675	8	15	;	;	PUNCT
american_scientific_journal-2675	8	16	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	8	17	hole	hole	NOUN
american_scientific_journal-2675	8	18	;	;	PUNCT
american_scientific_journal-2675	8	19	ams	am	NOUN
american_scientific_journal-2675	8	20	(	(	PUNCT
american_scientific_journal-2675	8	21	2010	2010	NUM
american_scientific_journal-2675	8	22	):	):	PUNCT
american_scientific_journal-2675	8	23	74b10	74b10	NOUN
american_scientific_journal-2675	8	24	;	;	PUNCT
american_scientific_journal-2675	8	25	30c20	30c20	NUM
american_scientific_journal-2675	8	26	.	.	PUNCT
american_scientific_journal-2675	9	1	1	1	X
american_scientific_journal-2675	9	2	.	.	X
american_scientific_journal-2675	9	3	introduction	introduction	NOUN
american_scientific_journal-2675	9	4	several	several	ADJ
american_scientific_journal-2675	9	5	authors	author	NOUN
american_scientific_journal-2675	9	6	have	have	AUX
american_scientific_journal-2675	9	7	discussed	discuss	VERB
american_scientific_journal-2675	9	8	the	the	DET
american_scientific_journal-2675	9	9	solutions	solution	NOUN
american_scientific_journal-2675	9	10	of	of	ADP
american_scientific_journal-2675	9	11	the	the	DET
american_scientific_journal-2675	9	12	bvps	bvps	NOUN
american_scientific_journal-2675	9	13	,	,	PUNCT
american_scientific_journal-2675	9	14	in	in	ADP
american_scientific_journal-2675	9	15	two	two	NUM
american_scientific_journal-2675	9	16	-	-	PUNCT
american_scientific_journal-2675	9	17	dimensional	dimensional	ADJ
american_scientific_journal-2675	9	18	problems	problem	NOUN
american_scientific_journal-2675	9	19	,	,	PUNCT
american_scientific_journal-2675	9	20	using	use	VERB
american_scientific_journal-2675	9	21	some	some	DET
american_scientific_journal-2675	9	22	different	different	ADJ
american_scientific_journal-2675	9	23	methods	method	NOUN
american_scientific_journal-2675	9	24	;	;	PUNCT
american_scientific_journal-2675	9	25	see	see	VERB
american_scientific_journal-2675	9	26	[	[	X
american_scientific_journal-2675	9	27	1	1	NUM
american_scientific_journal-2675	9	28	-	-	SYM
american_scientific_journal-2675	9	29	5	5	NUM
american_scientific_journal-2675	9	30	]	]	PUNCT
american_scientific_journal-2675	9	31	.	.	PUNCT
american_scientific_journal-2675	10	1	in	in	ADP
american_scientific_journal-2675	10	2	the	the	DET
american_scientific_journal-2675	10	3	twodimensional	twodimensional	ADJ
american_scientific_journal-2675	10	4	problems	problem	NOUN
american_scientific_journal-2675	10	5	,	,	PUNCT
american_scientific_journal-2675	10	6	in	in	ADP
american_scientific_journal-2675	10	7	the	the	DET
american_scientific_journal-2675	10	8	theory	theory	NOUN
american_scientific_journal-2675	10	9	of	of	ADP
american_scientific_journal-2675	10	10	elasticity	elasticity	NOUN
american_scientific_journal-2675	10	11	,	,	PUNCT
american_scientific_journal-2675	10	12	some	some	DET
american_scientific_journal-2675	10	13	authors	author	NOUN
american_scientific_journal-2675	10	14	have	have	AUX
american_scientific_journal-2675	10	15	used	use	VERB
american_scientific_journal-2675	10	16	complex	complex	ADJ
american_scientific_journal-2675	10	17	variables	variable	NOUN
american_scientific_journal-2675	10	18	method	method	NOUN
american_scientific_journal-2675	10	19	to	to	PART
american_scientific_journal-2675	10	20	obtain	obtain	VERB
american_scientific_journal-2675	10	21	,	,	PUNCT
american_scientific_journal-2675	10	22	in	in	ADP
american_scientific_journal-2675	10	23	a	a	DET
american_scientific_journal-2675	10	24	closed	closed	ADJ
american_scientific_journal-2675	10	25	form	form	NOUN
american_scientific_journal-2675	10	26	,	,	PUNCT
american_scientific_journal-2675	10	27	the	the	DET
american_scientific_journal-2675	10	28	solution	solution	NOUN
american_scientific_journal-2675	10	29	of	of	ADP
american_scientific_journal-2675	10	30	the	the	DET
american_scientific_journal-2675	10	31	first	first	ADJ
american_scientific_journal-2675	10	32	and	and	CCONJ
american_scientific_journal-2675	10	33	second	second	ADJ
american_scientific_journal-2675	10	34	fundamental	fundamental	ADJ
american_scientific_journal-2675	10	35	problems	problem	NOUN
american_scientific_journal-2675	10	36	,	,	PUNCT
american_scientific_journal-2675	10	37	see	see	VERB
american_scientific_journal-2675	10	38	[	[	X
american_scientific_journal-2675	10	39	6	6	NUM
american_scientific_journal-2675	10	40	-	-	SYM
american_scientific_journal-2675	10	41	10	10	NUM
american_scientific_journal-2675	10	42	]	]	PUNCT
american_scientific_journal-2675	10	43	.	.	PUNCT
american_scientific_journal-2675	11	1	others	other	NOUN
american_scientific_journal-2675	11	2	authors	author	NOUN
american_scientific_journal-2675	11	3	have	have	AUX
american_scientific_journal-2675	11	4	used	use	VERB
american_scientific_journal-2675	11	5	laurent	laurent	NOUN
american_scientific_journal-2675	11	6	’s	’s	PART
american_scientific_journal-2675	11	7	theorem	theorem	NOUN
american_scientific_journal-2675	11	8	to	to	PART
american_scientific_journal-2675	11	9	obtain	obtain	VERB
american_scientific_journal-2675	11	10	the	the	DET
american_scientific_journal-2675	11	11	gaursat	gaursat	ADJ
american_scientific_journal-2675	11	12	functions	function	NOUN
american_scientific_journal-2675	11	13	for	for	ADP
american_scientific_journal-2675	11	14	an	an	DET
american_scientific_journal-2675	11	15	infinite	infinite	ADJ
american_scientific_journal-2675	11	16	plate	plate	NOUN
american_scientific_journal-2675	11	17	weakened	weaken	VERB
american_scientific_journal-2675	11	18	by	by	ADP
american_scientific_journal-2675	11	19	a	a	DET
american_scientific_journal-2675	11	20	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	11	21	hole	hole	NOUN
american_scientific_journal-2675	11	22	c	c	AUX
american_scientific_journal-2675	11	23	,	,	PUNCT
american_scientific_journal-2675	11	24	see	see	VERB
american_scientific_journal-2675	11	25	[	[	X
american_scientific_journal-2675	11	26	11	11	NUM
american_scientific_journal-2675	11	27	-	-	SYM
american_scientific_journal-2675	11	28	15	15	NUM
american_scientific_journal-2675	11	29	]	]	PUNCT
american_scientific_journal-2675	11	30	.	.	PUNCT
american_scientific_journal-2675	12	1	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-2675	13	1	*	*	PUNCT
american_scientific_journal-2675	13	2	corresponding	correspond	VERB
american_scientific_journal-2675	13	3	author	author	NOUN
american_scientific_journal-2675	13	4	.	.	PUNCT
american_scientific_journal-2675	14	1	http://asrjetsjournal.org/	http://asrjetsjournal.org/	NOUN
american_scientific_journal-2675	14	2	214	214	NUM
american_scientific_journal-2675	14	3	-	-	SYM
american_scientific_journal-2675	14	4	201	201	NUM
american_scientific_journal-2675	14	5	,	,	PUNCT
american_scientific_journal-2675	14	6	no	no	DET
american_scientific_journal-2675	14	7	1	1	NUM
american_scientific_journal-2675	14	8	,	,	PUNCT
american_scientific_journal-2675	14	9	pp	pp	ADV
american_scientific_journal-2675	14	10	82	82	NUM
american_scientific_journal-2675	14	11	)	)	PUNCT
american_scientific_journal-2675	14	12	volume	volume	NOUN
american_scientific_journal-2675	14	13	2017	2017	NUM
american_scientific_journal-2675	14	14	(	(	PUNCT
american_scientific_journal-2675	14	15	)	)	PUNCT
american_scientific_journal-2675	14	16	research	research	NOUN
american_scientific_journal-2675	14	17	journal	journal	NOUN
american_scientific_journal-2675	14	18	for	for	ADP
american_scientific_journal-2675	14	19	engineering	engineering	NOUN
american_scientific_journal-2675	14	20	,	,	PUNCT
american_scientific_journal-2675	14	21	technology	technology	NOUN
american_scientific_journal-2675	14	22	,	,	PUNCT
american_scientific_journal-2675	14	23	and	and	CCONJ
american_scientific_journal-2675	14	24	sciences	science	NOUN
american_scientific_journal-2675	14	25	(	(	PUNCT
american_scientific_journal-2675	14	26	asrjets	asrjet	NOUN
american_scientific_journal-2675	14	27	american	american	ADJ
american_scientific_journal-2675	14	28	scientific	scientific	ADJ
american_scientific_journal-2675	14	29	202	202	NUM
american_scientific_journal-2675	14	30	in	in	ADP
american_scientific_journal-2675	14	31	thermoelastic	thermoelastic	ADJ
american_scientific_journal-2675	14	32	,	,	PUNCT
american_scientific_journal-2675	14	33	problems	problem	NOUN
american_scientific_journal-2675	14	34	for	for	ADP
american_scientific_journal-2675	14	35	the	the	DET
american_scientific_journal-2675	14	36	first	first	ADJ
american_scientific_journal-2675	14	37	and	and	CCONJ
american_scientific_journal-2675	14	38	second	second	ADJ
american_scientific_journal-2675	14	39	bvps	bvps	NOUN
american_scientific_journal-2675	14	40	are	be	AUX
american_scientific_journal-2675	14	41	equivalent	equivalent	ADJ
american_scientific_journal-2675	14	42	to	to	ADP
american_scientific_journal-2675	14	43	finding	find	VERB
american_scientific_journal-2675	14	44	the	the	DET
american_scientific_journal-2675	14	45	thermoelastic	thermoelastic	ADJ
american_scientific_journal-2675	14	46	potential	potential	NOUN
american_scientific_journal-2675	14	47	,	,	PUNCT
american_scientific_journal-2675	14	48	φ	φ	NUM
american_scientific_journal-2675	14	49	in	in	ADP
american_scientific_journal-2675	14	50	addition	addition	NOUN
american_scientific_journal-2675	14	51	is	be	AUX
american_scientific_journal-2675	14	52	finding	find	VERB
american_scientific_journal-2675	14	53	the	the	DET
american_scientific_journal-2675	14	54	two	two	NUM
american_scientific_journal-2675	14	55	analytic	analytic	ADJ
american_scientific_journal-2675	14	56	gfs	gfs	NOUN
american_scientific_journal-2675	14	57	,	,	PUNCT
american_scientific_journal-2675	14	58	(	(	PUNCT
american_scientific_journal-2675	14	59	)	)	PUNCT
american_scientific_journal-2675	14	60	zϕ	zϕ	PROPN
american_scientific_journal-2675	14	61	and	and	CCONJ
american_scientific_journal-2675	14	62	(	(	PUNCT
american_scientific_journal-2675	14	63	)	)	PUNCT
american_scientific_journal-2675	14	64	zψ	zψ	PROPN
american_scientific_journal-2675	14	65	of	of	ADP
american_scientific_journal-2675	14	66	one	one	NUM
american_scientific_journal-2675	14	67	complex	complex	ADJ
american_scientific_journal-2675	14	68	argument	argument	NOUN
american_scientific_journal-2675	14	69	iyxz	iyxz	VERB
american_scientific_journal-2675	15	1	+	+	PUNCT
american_scientific_journal-2675	15	2	=	=	SYM
american_scientific_journal-2675	15	3	.	.	PUNCT
american_scientific_journal-2675	16	1	these	these	DET
american_scientific_journal-2675	16	2	analytic	analytic	ADJ
american_scientific_journal-2675	16	3	functions	function	NOUN
american_scientific_journal-2675	16	4	must	must	AUX
american_scientific_journal-2675	16	5	satisfy	satisfy	VERB
american_scientific_journal-2675	16	6	the	the	DET
american_scientific_journal-2675	16	7	boundary	boundary	ADJ
american_scientific_journal-2675	16	8	conditions	condition	NOUN
american_scientific_journal-2675	16	9	,	,	PUNCT
american_scientific_journal-2675	16	10	1	1	NUM
american_scientific_journal-2675	16	11	1	1	NUM
american_scientific_journal-2675	16	12	1	1	NUM
american_scientific_journal-2675	16	13	(	(	PUNCT
american_scientific_journal-2675	16	14	)	)	PUNCT
american_scientific_journal-2675	16	15	(	(	PUNCT
american_scientific_journal-2675	16	16	)	)	PUNCT
american_scientific_journal-2675	16	17	(	(	PUNCT
american_scientific_journal-2675	16	18	)	)	PUNCT
american_scientific_journal-2675	16	19	(	(	PUNCT
american_scientific_journal-2675	16	20	)	)	PUNCT
american_scientific_journal-2675	16	21	k	k	PROPN
american_scientific_journal-2675	16	22	t	t	PROPN
american_scientific_journal-2675	16	23	t	t	PROPN
american_scientific_journal-2675	16	24	t	t	PROPN
american_scientific_journal-2675	16	25	t	t	PROPN
american_scientific_journal-2675	16	26	f	f	PROPN
american_scientific_journal-2675	16	27	tϕ	tϕ	PROPN
american_scientific_journal-2675	16	28	ϕ	ϕ	X
american_scientific_journal-2675	16	29	ψ′−	ψ′−	PUNCT
american_scientific_journal-2675	16	30	−	−	PROPN
american_scientific_journal-2675	16	31	=	=	SYM
american_scientific_journal-2675	16	32	(	(	PUNCT
american_scientific_journal-2675	16	33	1.1	1.1	NUM
american_scientific_journal-2675	16	34	)	)	PUNCT
american_scientific_journal-2675	16	35	where	where	SCONJ
american_scientific_journal-2675	16	36	t	t	PROPN
american_scientific_journal-2675	16	37	denotes	denote	VERB
american_scientific_journal-2675	16	38	the	the	DET
american_scientific_journal-2675	16	39	affix	affix	NOUN
american_scientific_journal-2675	16	40	of	of	ADP
american_scientific_journal-2675	16	41	a	a	DET
american_scientific_journal-2675	16	42	point	point	NOUN
american_scientific_journal-2675	16	43	on	on	ADP
american_scientific_journal-2675	16	44	the	the	DET
american_scientific_journal-2675	16	45	boundary	boundary	NOUN
american_scientific_journal-2675	16	46	.	.	PUNCT
american_scientific_journal-2675	17	1	in	in	ADP
american_scientific_journal-2675	17	2	terms	term	NOUN
american_scientific_journal-2675	17	3	of	of	ADP
american_scientific_journal-2675	17	4	)	)	PUNCT
american_scientific_journal-2675	17	5	(	(	PUNCT
american_scientific_journal-2675	17	6	ζωcz	ζωcz	NOUN
american_scientific_journal-2675	17	7	=	=	SYM
american_scientific_journal-2675	17	8	,	,	PUNCT
american_scientific_journal-2675	17	9	0	0	NUM
american_scientific_journal-2675	17	10	>	>	X
american_scientific_journal-2675	17	11	c	c	X
american_scientific_journal-2675	17	12	,	,	PUNCT
american_scientific_journal-2675	17	13	(	(	PUNCT
american_scientific_journal-2675	17	14	)	)	PUNCT
american_scientific_journal-2675	17	15	ω	ω	NOUN
american_scientific_journal-2675	17	16	ζ′	ζ′	ADV
american_scientific_journal-2675	17	17	does	do	AUX
american_scientific_journal-2675	17	18	not	not	PART
american_scientific_journal-2675	17	19	vanish	vanish	VERB
american_scientific_journal-2675	17	20	or	or	CCONJ
american_scientific_journal-2675	17	21	become	become	VERB
american_scientific_journal-2675	17	22	infinite	infinite	ADJ
american_scientific_journal-2675	17	23	for	for	ADP
american_scientific_journal-2675	17	24	1	1	NUM
american_scientific_journal-2675	17	25	>	>	SYM
american_scientific_journal-2675	17	26	ζ	ζ	NOUN
american_scientific_journal-2675	17	27	,	,	PUNCT
american_scientific_journal-2675	17	28	the	the	DET
american_scientific_journal-2675	17	29	infinite	infinite	ADJ
american_scientific_journal-2675	17	30	region	region	NOUN
american_scientific_journal-2675	17	31	outside	outside	ADP
american_scientific_journal-2675	17	32	a	a	DET
american_scientific_journal-2675	17	33	unit	unit	NOUN
american_scientific_journal-2675	17	34	circle	circle	NOUN
american_scientific_journal-2675	17	35	γ	γ	PROPN
american_scientific_journal-2675	17	36	.	.	PUNCT
american_scientific_journal-2675	18	1	for	for	ADP
american_scientific_journal-2675	18	2	the	the	DET
american_scientific_journal-2675	18	3	stress	stress	PROPN
american_scientific_journal-2675	18	4	bvps	bvps	PROPN
american_scientific_journal-2675	18	5	,	,	PUNCT
american_scientific_journal-2675	18	6	1k	1k	NOUN
american_scientific_journal-2675	18	7	=	=	SYM
american_scientific_journal-2675	18	8	−	−	PROPN
american_scientific_journal-2675	18	9	and	and	CCONJ
american_scientific_journal-2675	18	10	(	(	PUNCT
american_scientific_journal-2675	18	11	)	)	PUNCT
american_scientific_journal-2675	18	12	f	f	PROPN
american_scientific_journal-2675	18	13	t	t	PROPN
american_scientific_journal-2675	18	14	is	be	AUX
american_scientific_journal-2675	18	15	a	a	DET
american_scientific_journal-2675	18	16	given	give	VERB
american_scientific_journal-2675	18	17	function	function	NOUN
american_scientific_journal-2675	18	18	of	of	ADP
american_scientific_journal-2675	18	19	stress	stress	NOUN
american_scientific_journal-2675	18	20	.	.	PUNCT
american_scientific_journal-2675	19	1	while	while	SCONJ
american_scientific_journal-2675	19	2	for	for	ADP
american_scientific_journal-2675	19	3	1k	1k	NUM
american_scientific_journal-2675	19	4	k=	k=	X
american_scientific_journal-2675	19	5	>	>	X
american_scientific_journal-2675	19	6	,	,	PUNCT
american_scientific_journal-2675	19	7	(	(	PUNCT
american_scientific_journal-2675	19	8	)	)	PUNCT
american_scientific_journal-2675	19	9	f	f	PROPN
american_scientific_journal-2675	19	10	t	t	PROPN
american_scientific_journal-2675	19	11	is	be	AUX
american_scientific_journal-2675	19	12	a	a	DET
american_scientific_journal-2675	19	13	given	give	VERB
american_scientific_journal-2675	19	14	function	function	NOUN
american_scientific_journal-2675	19	15	of	of	ADP
american_scientific_journal-2675	19	16	displacement	displacement	NOUN
american_scientific_journal-2675	19	17	which	which	PRON
american_scientific_journal-2675	19	18	called	call	VERB
american_scientific_journal-2675	19	19	the	the	DET
american_scientific_journal-2675	19	20	thermal	thermal	ADJ
american_scientific_journal-2675	19	21	conductivity	conductivity	NOUN
american_scientific_journal-2675	19	22	,	,	PUNCT
american_scientific_journal-2675	19	23	we	we	PRON
american_scientific_journal-2675	19	24	have	have	VERB
american_scientific_journal-2675	19	25	the	the	DET
american_scientific_journal-2675	19	26	second	second	ADJ
american_scientific_journal-2675	19	27	fundamental	fundamental	ADJ
american_scientific_journal-2675	19	28	bvps	bvps	NOUN
american_scientific_journal-2675	19	29	or	or	CCONJ
american_scientific_journal-2675	19	30	called	call	VERB
american_scientific_journal-2675	19	31	the	the	DET
american_scientific_journal-2675	19	32	displacement	displacement	ADJ
american_scientific_journal-2675	19	33	bvps	bvps	NOUN
american_scientific_journal-2675	19	34	.	.	PUNCT
american_scientific_journal-2675	20	1	the	the	DET
american_scientific_journal-2675	20	2	gfs	gfs	PROPN
american_scientific_journal-2675	20	3	1	1	NUM
american_scientific_journal-2675	20	4	(	(	PUNCT
american_scientific_journal-2675	20	5	)	)	PUNCT
american_scientific_journal-2675	20	6	tϕ	tϕ	PROPN
american_scientific_journal-2675	20	7	and	and	CCONJ
american_scientific_journal-2675	20	8	)	)	PUNCT
american_scientific_journal-2675	20	9	(	(	PUNCT
american_scientific_journal-2675	20	10	1	1	NUM
american_scientific_journal-2675	20	11	tψ	tψ	NOUN
american_scientific_journal-2675	20	12	take	take	VERB
american_scientific_journal-2675	20	13	the	the	DET
american_scientific_journal-2675	20	14	following	follow	VERB
american_scientific_journal-2675	20	15	form	form	NOUN
american_scientific_journal-2675	20	16	see	see	VERB
american_scientific_journal-2675	20	17	[	[	X
american_scientific_journal-2675	20	18	16	16	NUM
american_scientific_journal-2675	20	19	]	]	SYM
american_scientific_journal-2675	20	20	1	1	NUM
american_scientific_journal-2675	20	21	(	(	PUNCT
american_scientific_journal-2675	20	22	)	)	PUNCT
american_scientific_journal-2675	20	23	ln	ln	NOUN
american_scientific_journal-2675	20	24	(	(	PUNCT
american_scientific_journal-2675	20	25	)	)	PUNCT
american_scientific_journal-2675	20	26	2	2	NUM
american_scientific_journal-2675	20	27	(	(	PUNCT
american_scientific_journal-2675	20	28	1	1	NUM
american_scientific_journal-2675	20	29	)	)	PUNCT
american_scientific_journal-2675	20	30	x	x	SYM
american_scientific_journal-2675	20	31	ys	ys	NOUN
american_scientific_journal-2675	20	32	is	be	AUX
american_scientific_journal-2675	20	33	c	c	NOUN
american_scientific_journal-2675	20	34	k	k	PROPN
american_scientific_journal-2675	20	35	ϕ	ϕ	PROPN
american_scientific_journal-2675	20	36	ζ	ζ	PROPN
american_scientific_journal-2675	20	37	ζ	ζ	PROPN
american_scientific_journal-2675	20	38	ζ	ζ	NOUN
american_scientific_journal-2675	20	39	ϕ	ϕ	NOUN
american_scientific_journal-2675	20	40	ζ	ζ	NOUN
american_scientific_journal-2675	20	41	π	π	NOUN
american_scientific_journal-2675	20	42	+	+	CCONJ
american_scientific_journal-2675	20	43	=	=	SYM
american_scientific_journal-2675	21	1	−	−	PROPN
american_scientific_journal-2675	22	1	+	+	CCONJ
american_scientific_journal-2675	22	2	γ	γ	X
american_scientific_journal-2675	22	3	+	+	X
american_scientific_journal-2675	22	4	+	+	CCONJ
american_scientific_journal-2675	22	5	(	(	PUNCT
american_scientific_journal-2675	22	6	1.2	1.2	NUM
american_scientific_journal-2675	22	7	)	)	PUNCT
american_scientific_journal-2675	22	8	and	and	CCONJ
american_scientific_journal-2675	22	9	,	,	PUNCT
american_scientific_journal-2675	22	10	1	1	NUM
american_scientific_journal-2675	22	11	(	(	PUNCT
american_scientific_journal-2675	22	12	)	)	PUNCT
american_scientific_journal-2675	22	13	(	(	PUNCT
american_scientific_journal-2675	22	14	)	)	PUNCT
american_scientific_journal-2675	22	15	ln	ln	INTJ
american_scientific_journal-2675	22	16	(	(	PUNCT
american_scientific_journal-2675	22	17	)	)	PUNCT
american_scientific_journal-2675	22	18	.	.	PUNCT
american_scientific_journal-2675	23	1	2	2	NUM
american_scientific_journal-2675	23	2	(	(	PUNCT
american_scientific_journal-2675	23	3	1	1	NUM
american_scientific_journal-2675	23	4	)	)	PUNCT
american_scientific_journal-2675	23	5	x	x	SYM
american_scientific_journal-2675	23	6	ys	ys	PROPN
american_scientific_journal-2675	23	7	is	be	AUX
american_scientific_journal-2675	23	8	k	k	PROPN
american_scientific_journal-2675	23	9	c	c	PROPN
american_scientific_journal-2675	23	10	k	k	PROPN
american_scientific_journal-2675	23	11	ψ	ψ	X
american_scientific_journal-2675	23	12	ζ	ζ	NOUN
american_scientific_journal-2675	23	13	ζ	ζ	NOUN
american_scientific_journal-2675	23	14	ζ	ζ	NOUN
american_scientific_journal-2675	23	15	ψ	ψ	X
american_scientific_journal-2675	23	16	ζ	ζ	NOUN
american_scientific_journal-2675	23	17	π	π	NOUN
american_scientific_journal-2675	23	18	∗−	∗−	NOUN
american_scientific_journal-2675	23	19	=	=	SYM
american_scientific_journal-2675	23	20	+	+	CCONJ
american_scientific_journal-2675	23	21	γ	γ	X
american_scientific_journal-2675	23	22	+	+	X
american_scientific_journal-2675	23	23	+	+	CCONJ
american_scientific_journal-2675	23	24	(	(	PUNCT
american_scientific_journal-2675	23	25	1.3	1.3	NUM
american_scientific_journal-2675	23	26	)	)	PUNCT
american_scientific_journal-2675	23	27	where	where	SCONJ
american_scientific_journal-2675	23	28	,	,	PUNCT
american_scientific_journal-2675	23	29	x	x	PRON
american_scientific_journal-2675	23	30	ys	ys	NOUN
american_scientific_journal-2675	23	31	s	s	X
american_scientific_journal-2675	23	32	are	be	AUX
american_scientific_journal-2675	23	33	the	the	DET
american_scientific_journal-2675	23	34	components	component	NOUN
american_scientific_journal-2675	23	35	of	of	ADP
american_scientific_journal-2675	23	36	the	the	DET
american_scientific_journal-2675	23	37	resultant	resultant	NOUN
american_scientific_journal-2675	23	38	vector	vector	NOUN
american_scientific_journal-2675	23	39	of	of	ADP
american_scientific_journal-2675	23	40	all	all	DET
american_scientific_journal-2675	23	41	external	external	ADJ
american_scientific_journal-2675	23	42	forces	force	NOUN
american_scientific_journal-2675	23	43	acting	act	VERB
american_scientific_journal-2675	23	44	on	on	ADP
american_scientific_journal-2675	23	45	the	the	DET
american_scientific_journal-2675	23	46	boundary	boundary	NOUN
american_scientific_journal-2675	23	47	and	and	CCONJ
american_scientific_journal-2675	23	48	,	,	PUNCT
american_scientific_journal-2675	23	49	∗γ	∗γ	NOUN
american_scientific_journal-2675	23	50	γ	γ	NOUN
american_scientific_journal-2675	23	51	are	be	AUX
american_scientific_journal-2675	23	52	complex	complex	ADJ
american_scientific_journal-2675	23	53	constants	constant	NOUN
american_scientific_journal-2675	23	54	.	.	PUNCT
american_scientific_journal-2675	24	1	generally	generally	ADV
american_scientific_journal-2675	24	2	the	the	DET
american_scientific_journal-2675	24	3	two	two	NUM
american_scientific_journal-2675	24	4	gfs	gfs	NOUN
american_scientific_journal-2675	24	5	(	(	PUNCT
american_scientific_journal-2675	24	6	)	)	PUNCT
american_scientific_journal-2675	24	7	ϕ	ϕ	PROPN
american_scientific_journal-2675	24	8	ζ	ζ	NOUN
american_scientific_journal-2675	24	9	and	and	CCONJ
american_scientific_journal-2675	24	10	(	(	PUNCT
american_scientific_journal-2675	24	11	)	)	PUNCT
american_scientific_journal-2675	24	12	ψ	ψ	NOUN
american_scientific_journal-2675	24	13	ζ	ζ	NOUN
american_scientific_journal-2675	24	14	are	be	AUX
american_scientific_journal-2675	24	15	single	single	ADJ
american_scientific_journal-2675	24	16	value	value	NOUN
american_scientific_journal-2675	24	17	analytic	analytic	ADJ
american_scientific_journal-2675	24	18	functions	function	NOUN
american_scientific_journal-2675	24	19	within	within	ADP
american_scientific_journal-2675	24	20	the	the	DET
american_scientific_journal-2675	24	21	region	region	NOUN
american_scientific_journal-2675	24	22	out	out	ADP
american_scientific_journal-2675	24	23	side	side	NOUN
american_scientific_journal-2675	24	24	the	the	DET
american_scientific_journal-2675	24	25	unit	unit	NOUN
american_scientific_journal-2675	24	26	circle	circle	NOUN
american_scientific_journal-2675	24	27	γ	γ	PROPN
american_scientific_journal-2675	24	28	and	and	CCONJ
american_scientific_journal-2675	24	29	(	(	PUNCT
american_scientific_journal-2675	24	30	)	)	PUNCT
american_scientific_journal-2675	24	31	0	0	NUM
american_scientific_journal-2675	24	32	,	,	PUNCT
american_scientific_journal-2675	24	33	(	(	PUNCT
american_scientific_journal-2675	24	34	)	)	PUNCT
american_scientific_journal-2675	24	35	0ϕ	0ϕ	VERB
american_scientific_journal-2675	24	36	ψ∞	ψ∞	X
american_scientific_journal-2675	24	37	=	=	PUNCT
american_scientific_journal-2675	25	1	∞	∞	NUM
american_scientific_journal-2675	25	2	=	=	PUNCT
american_scientific_journal-2675	25	3	.	.	PUNCT
american_scientific_journal-2675	26	1	in	in	ADP
american_scientific_journal-2675	26	2	this	this	DET
american_scientific_journal-2675	26	3	paper	paper	NOUN
american_scientific_journal-2675	26	4	,	,	PUNCT
american_scientific_journal-2675	26	5	we	we	PRON
american_scientific_journal-2675	26	6	consider	consider	VERB
american_scientific_journal-2675	26	7	the	the	DET
american_scientific_journal-2675	26	8	bvp	bvp	NOUN
american_scientific_journal-2675	26	9	for	for	ADP
american_scientific_journal-2675	26	10	isotropic	isotropic	ADJ
american_scientific_journal-2675	26	11	homogeneous	homogeneous	ADJ
american_scientific_journal-2675	26	12	perforated	perforate	VERB
american_scientific_journal-2675	26	13	infinite	infinite	ADJ
american_scientific_journal-2675	26	14	elastic	elastic	ADJ
american_scientific_journal-2675	26	15	media	medium	NOUN
american_scientific_journal-2675	26	16	in	in	ADP
american_scientific_journal-2675	26	17	presence	presence	NOUN
american_scientific_journal-2675	26	18	of	of	ADP
american_scientific_journal-2675	26	19	uniform	uniform	ADJ
american_scientific_journal-2675	26	20	flow	flow	NOUN
american_scientific_journal-2675	26	21	of	of	ADP
american_scientific_journal-2675	26	22	heat	heat	NOUN
american_scientific_journal-2675	26	23	.	.	PUNCT
american_scientific_journal-2675	27	1	then	then	ADV
american_scientific_journal-2675	27	2	,	,	PUNCT
american_scientific_journal-2675	27	3	we	we	PRON
american_scientific_journal-2675	27	4	use	use	VERB
american_scientific_journal-2675	27	5	a	a	DET
american_scientific_journal-2675	27	6	general	general	ADJ
american_scientific_journal-2675	27	7	shape	shape	NOUN
american_scientific_journal-2675	27	8	of	of	ADP
american_scientific_journal-2675	27	9	conformal	conformal	ADJ
american_scientific_journal-2675	27	10	mapping	mapping	NOUN
american_scientific_journal-2675	27	11	to	to	PART
american_scientific_journal-2675	27	12	obtain	obtain	VERB
american_scientific_journal-2675	27	13	the	the	DET
american_scientific_journal-2675	27	14	gfs	gfs	NOUN
american_scientific_journal-2675	27	15	for	for	ADP
american_scientific_journal-2675	27	16	the	the	DET
american_scientific_journal-2675	27	17	problem	problem	NOUN
american_scientific_journal-2675	27	18	in	in	ADP
american_scientific_journal-2675	27	19	the	the	DET
american_scientific_journal-2675	27	20	form	form	NOUN
american_scientific_journal-2675	27	21	of	of	ADP
american_scientific_journal-2675	27	22	integro	integro	ADJ
american_scientific_journal-2675	27	23	-	-	PUNCT
american_scientific_journal-2675	27	24	differential	differential	NOUN
american_scientific_journal-2675	27	25	equation	equation	NOUN
american_scientific_journal-2675	27	26	with	with	ADP
american_scientific_journal-2675	27	27	singular	singular	ADJ
american_scientific_journal-2675	27	28	kennel	kennel	NOUN
american_scientific_journal-2675	27	29	.	.	PUNCT
american_scientific_journal-2675	28	1	many	many	ADJ
american_scientific_journal-2675	28	2	special	special	ADJ
american_scientific_journal-2675	28	3	cases	case	NOUN
american_scientific_journal-2675	28	4	are	be	AUX
american_scientific_journal-2675	28	5	obtained	obtain	VERB
american_scientific_journal-2675	28	6	and	and	CCONJ
american_scientific_journal-2675	28	7	several	several	ADJ
american_scientific_journal-2675	28	8	applications	application	NOUN
american_scientific_journal-2675	28	9	are	be	AUX
american_scientific_journal-2675	28	10	discussed	discuss	VERB
american_scientific_journal-2675	28	11	from	from	ADP
american_scientific_journal-2675	28	12	the	the	DET
american_scientific_journal-2675	28	13	work	work	NOUN
american_scientific_journal-2675	28	14	.	.	PUNCT
american_scientific_journal-2675	29	1	2	2	X
american_scientific_journal-2675	29	2	.	.	X
american_scientific_journal-2675	29	3	formulation	formulation	NOUN
american_scientific_journal-2675	29	4	of	of	ADP
american_scientific_journal-2675	29	5	the	the	DET
american_scientific_journal-2675	29	6	problem	problem	NOUN
american_scientific_journal-2675	29	7	consider	consider	VERB
american_scientific_journal-2675	29	8	a	a	DET
american_scientific_journal-2675	29	9	thin	thin	ADJ
american_scientific_journal-2675	29	10	infinite	infinite	ADJ
american_scientific_journal-2675	29	11	plate	plate	NOUN
american_scientific_journal-2675	29	12	of	of	ADP
american_scientific_journal-2675	29	13	thickness	thickness	NOUN
american_scientific_journal-2675	29	14	h	h	NOUN
american_scientific_journal-2675	29	15	with	with	ADP
american_scientific_journal-2675	29	16	a	a	DET
american_scientific_journal-2675	29	17	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	29	18	hole	hole	NOUN
american_scientific_journal-2675	29	19	c	c	NOUN
american_scientific_journal-2675	29	20	,	,	PUNCT
american_scientific_journal-2675	29	21	where	where	SCONJ
american_scientific_journal-2675	29	22	the	the	DET
american_scientific_journal-2675	29	23	origin	origin	NOUN
american_scientific_journal-2675	29	24	lies	lie	VERB
american_scientific_journal-2675	29	25	inside	inside	ADP
american_scientific_journal-2675	29	26	the	the	DET
american_scientific_journal-2675	29	27	hole	hole	NOUN
american_scientific_journal-2675	29	28	is	be	AUX
american_scientific_journal-2675	29	29	conformally	conformally	ADV
american_scientific_journal-2675	29	30	mapped	map	VERB
american_scientific_journal-2675	29	31	on	on	ADP
american_scientific_journal-2675	29	32	the	the	DET
american_scientific_journal-2675	29	33	domain	domain	NOUN
american_scientific_journal-2675	29	34	outside	outside	ADP
american_scientific_journal-2675	29	35	a	a	DET
american_scientific_journal-2675	29	36	unit	unit	NOUN
american_scientific_journal-2675	29	37	circle	circle	NOUN
american_scientific_journal-2675	29	38	γ	γ	X
american_scientific_journal-2675	29	39	by	by	ADP
american_scientific_journal-2675	29	40	means	mean	NOUN
american_scientific_journal-2675	29	41	of	of	ADP
american_scientific_journal-2675	29	42	a	a	DET
american_scientific_journal-2675	29	43	rational	rational	ADJ
american_scientific_journal-2675	29	44	mapping	mapping	NOUN
american_scientific_journal-2675	29	45	function	function	NOUN
american_scientific_journal-2675	29	46	,	,	PUNCT
american_scientific_journal-2675	29	47	1	1	NUM
american_scientific_journal-2675	29	48	2	2	NUM
american_scientific_journal-2675	29	49	1	1	NUM
american_scientific_journal-2675	29	50	2	2	NUM
american_scientific_journal-2675	29	51	1	1	NUM
american_scientific_journal-2675	29	52	21	21	NUM
american_scientific_journal-2675	29	53	1	1	NUM
american_scientific_journal-2675	29	54	1	1	NUM
american_scientific_journal-2675	29	55	2	2	NUM
american_scientific_journal-2675	29	56	,	,	PUNCT
american_scientific_journal-2675	29	57	0	0	NUM
american_scientific_journal-2675	29	58	,	,	PUNCT
american_scientific_journal-2675	30	1	(	(	PUNCT
american_scientific_journal-2675	30	2	1	1	X
american_scientific_journal-2675	30	3	)	)	PUNCT
american_scientific_journal-2675	30	4	(	(	PUNCT
american_scientific_journal-2675	30	5	1	1	X
american_scientific_journal-2675	30	6	)	)	PUNCT
american_scientific_journal-2675	30	7	m	m	VERB
american_scientific_journal-2675	31	1	mz	mz	INTJ
american_scientific_journal-2675	31	2	c	c	PROPN
american_scientific_journal-2675	31	3	c	c	PROPN
american_scientific_journal-2675	31	4	n	n	CCONJ
american_scientific_journal-2675	31	5	n	n	CCONJ
american_scientific_journal-2675	31	6	n	n	CCONJ
american_scientific_journal-2675	31	7	n	n	CCONJ
american_scientific_journal-2675	31	8	ζ	ζ	NOUN
american_scientific_journal-2675	31	9	ζ	ζ	NOUN
american_scientific_journal-2675	31	10	ζ	ζ	NOUN
american_scientific_journal-2675	31	11	ζ	ζ	NOUN
american_scientific_journal-2675	31	12	ζ	ζ	NOUN
american_scientific_journal-2675	31	13	−	−	NOUN
american_scientific_journal-2675	31	14	−	−	NOUN
american_scientific_journal-2675	31	15	−	−	NOUN
american_scientific_journal-2675	31	16	−	−	PROPN
american_scientific_journal-2675	32	1	+	+	CCONJ
american_scientific_journal-2675	32	2	+	+	NUM
american_scientific_journal-2675	32	3	=	=	SYM
american_scientific_journal-2675	32	4	>	>	X
american_scientific_journal-2675	32	5	≠	≠	PROPN
american_scientific_journal-2675	32	6	−	−	PROPN
american_scientific_journal-2675	32	7	−	−	PROPN
american_scientific_journal-2675	32	8	(	(	PUNCT
american_scientific_journal-2675	32	9	2.1	2.1	NUM
american_scientific_journal-2675	32	10	)	)	PUNCT
american_scientific_journal-2675	32	11	where	where	SCONJ
american_scientific_journal-2675	32	12	)	)	PUNCT
american_scientific_journal-2675	32	13	(	(	PUNCT
american_scientific_journal-2675	32	14	ζz′	ζz′	PROPN
american_scientific_journal-2675	32	15	does	do	AUX
american_scientific_journal-2675	32	16	not	not	PART
american_scientific_journal-2675	32	17	vanish	vanish	VERB
american_scientific_journal-2675	32	18	or	or	CCONJ
american_scientific_journal-2675	32	19	become	become	VERB
american_scientific_journal-2675	32	20	infinite	infinite	ADJ
american_scientific_journal-2675	32	21	outside	outside	ADP
american_scientific_journal-2675	32	22	the	the	DET
american_scientific_journal-2675	32	23	unit	unit	NOUN
american_scientific_journal-2675	32	24	circle	circle	NOUN
american_scientific_journal-2675	32	25	γ	γ	X
american_scientific_journal-2675	32	26	.	.	PUNCT
american_scientific_journal-2675	33	1	214	214	NUM
american_scientific_journal-2675	33	2	-	-	SYM
american_scientific_journal-2675	33	3	201	201	NUM
american_scientific_journal-2675	33	4	,	,	PUNCT
american_scientific_journal-2675	33	5	no	no	DET
american_scientific_journal-2675	33	6	1	1	NUM
american_scientific_journal-2675	33	7	,	,	PUNCT
american_scientific_journal-2675	33	8	pp	pp	ADV
american_scientific_journal-2675	33	9	82	82	NUM
american_scientific_journal-2675	33	10	)	)	PUNCT
american_scientific_journal-2675	33	11	volume	volume	NOUN
american_scientific_journal-2675	33	12	2017	2017	NUM
american_scientific_journal-2675	33	13	(	(	PUNCT
american_scientific_journal-2675	33	14	)	)	PUNCT
american_scientific_journal-2675	33	15	research	research	NOUN
american_scientific_journal-2675	33	16	journal	journal	NOUN
american_scientific_journal-2675	33	17	for	for	ADP
american_scientific_journal-2675	33	18	engineering	engineering	NOUN
american_scientific_journal-2675	33	19	,	,	PUNCT
american_scientific_journal-2675	33	20	technology	technology	NOUN
american_scientific_journal-2675	33	21	,	,	PUNCT
american_scientific_journal-2675	33	22	and	and	CCONJ
american_scientific_journal-2675	33	23	sciences	science	NOUN
american_scientific_journal-2675	33	24	(	(	PUNCT
american_scientific_journal-2675	33	25	asrjets	asrjet	NOUN
american_scientific_journal-2675	33	26	american	american	ADJ
american_scientific_journal-2675	33	27	scientific	scientific	VERB
american_scientific_journal-2675	33	28	203	203	NUM
american_scientific_journal-2675	33	29	the	the	DET
american_scientific_journal-2675	33	30	uniform	uniform	ADJ
american_scientific_journal-2675	33	31	flow	flow	NOUN
american_scientific_journal-2675	33	32	of	of	ADP
american_scientific_journal-2675	33	33	heat	heat	NOUN
american_scientific_journal-2675	33	34	is	be	AUX
american_scientific_journal-2675	33	35	distributed	distribute	VERB
american_scientific_journal-2675	33	36	by	by	ADP
american_scientific_journal-2675	33	37	the	the	DET
american_scientific_journal-2675	33	38	presence	presence	NOUN
american_scientific_journal-2675	33	39	of	of	ADP
american_scientific_journal-2675	33	40	an	an	DET
american_scientific_journal-2675	33	41	insulated	insulated	ADJ
american_scientific_journal-2675	33	42	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	33	43	hole	hole	NOUN
american_scientific_journal-2675	33	44	c.	c.	PROPN
american_scientific_journal-2675	33	45	neglecting	neglect	VERB
american_scientific_journal-2675	33	46	the	the	DET
american_scientific_journal-2675	33	47	variation	variation	NOUN
american_scientific_journal-2675	33	48	of	of	ADP
american_scientific_journal-2675	33	49	the	the	DET
american_scientific_journal-2675	33	50	strain	strain	NOUN
american_scientific_journal-2675	33	51	and	and	CCONJ
american_scientific_journal-2675	33	52	stress	stress	NOUN
american_scientific_journal-2675	33	53	with	with	ADP
american_scientific_journal-2675	33	54	respect	respect	NOUN
american_scientific_journal-2675	33	55	to	to	ADP
american_scientific_journal-2675	33	56	the	the	DET
american_scientific_journal-2675	33	57	thickness	thickness	NOUN
american_scientific_journal-2675	33	58	of	of	ADP
american_scientific_journal-2675	33	59	the	the	DET
american_scientific_journal-2675	33	60	plate	plate	NOUN
american_scientific_journal-2675	33	61	,	,	PUNCT
american_scientific_journal-2675	33	62	and	and	CCONJ
american_scientific_journal-2675	33	63	assuming	assume	VERB
american_scientific_journal-2675	33	64	the	the	DET
american_scientific_journal-2675	33	65	force	force	NOUN
american_scientific_journal-2675	33	66	of	of	ADP
american_scientific_journal-2675	33	67	the	the	DET
american_scientific_journal-2675	33	68	plate	plate	NOUN
american_scientific_journal-2675	33	69	are	be	AUX
american_scientific_journal-2675	33	70	free	free	ADJ
american_scientific_journal-2675	33	71	of	of	ADP
american_scientific_journal-2675	33	72	applied	apply	VERB
american_scientific_journal-2675	33	73	loads	load	NOUN
american_scientific_journal-2675	33	74	.	.	PUNCT
american_scientific_journal-2675	34	1	in	in	ADP
american_scientific_journal-2675	34	2	this	this	DET
american_scientific_journal-2675	34	3	case	case	NOUN
american_scientific_journal-2675	34	4	,	,	PUNCT
american_scientific_journal-2675	34	5	the	the	DET
american_scientific_journal-2675	34	6	thermoelastic	thermoelastic	ADJ
american_scientific_journal-2675	34	7	potential	potential	NOUN
american_scientific_journal-2675	34	8	φ	φ	PROPN
american_scientific_journal-2675	34	9	satisfies	satisfy	VERB
american_scientific_journal-2675	34	10	the	the	DET
american_scientific_journal-2675	34	11	formula	formula	NOUN
american_scientific_journal-2675	34	12	,	,	PUNCT
american_scientific_journal-2675	34	13	see	see	VERB
american_scientific_journal-2675	34	14	parkus	parku	NOUN
american_scientific_journal-2675	35	1	[	[	X
american_scientific_journal-2675	35	2	16	16	NUM
american_scientific_journal-2675	35	3	]	]	SYM
american_scientific_journal-2675	35	4	2	2	NUM
american_scientific_journal-2675	35	5	(	(	PUNCT
american_scientific_journal-2675	35	6	1	1	NUM
american_scientific_journal-2675	35	7	)	)	PUNCT
american_scientific_journal-2675	35	8	υ	υ	PROPN
american_scientific_journal-2675	35	9	α∇	α∇	PROPN
american_scientific_journal-2675	35	10	φ	φ	NUM
american_scientific_journal-2675	35	11	=	=	PUNCT
american_scientific_journal-2675	36	1	+	+	NUM
american_scientific_journal-2675	36	2	θ	θ	PROPN
american_scientific_journal-2675	36	3	(	(	PUNCT
american_scientific_journal-2675	36	4	2.2	2.2	NUM
american_scientific_journal-2675	36	5	)	)	PUNCT
american_scientific_journal-2675	36	6	where	where	SCONJ
american_scientific_journal-2675	36	7	α	α	NOUN
american_scientific_journal-2675	36	8	is	be	AUX
american_scientific_journal-2675	36	9	a	a	DET
american_scientific_journal-2675	36	10	scalar	scalar	NOUN
american_scientific_journal-2675	36	11	which	which	PRON
american_scientific_journal-2675	36	12	present	present	VERB
american_scientific_journal-2675	36	13	the	the	DET
american_scientific_journal-2675	36	14	coefficient	coefficient	NOUN
american_scientific_journal-2675	36	15	of	of	ADP
american_scientific_journal-2675	36	16	the	the	DET
american_scientific_journal-2675	36	17	thermal	thermal	ADJ
american_scientific_journal-2675	36	18	expansion	expansion	NOUN
american_scientific_journal-2675	36	19	and	and	CCONJ
american_scientific_journal-2675	36	20	ν	ν	PROPN
american_scientific_journal-2675	36	21	is	be	AUX
american_scientific_journal-2675	36	22	poisson	poisson	NOUN
american_scientific_journal-2675	36	23	's	's	PART
american_scientific_journal-2675	36	24	ratio	ratio	NOUN
american_scientific_journal-2675	36	25	.	.	PUNCT
american_scientific_journal-2675	37	1	in	in	ADP
american_scientific_journal-2675	37	2	the	the	DET
american_scientific_journal-2675	37	3	steady	steady	ADJ
american_scientific_journal-2675	37	4	state	state	NOUN
american_scientific_journal-2675	37	5	,	,	PUNCT
american_scientific_journal-2675	37	6	the	the	DET
american_scientific_journal-2675	37	7	temperature	temperature	NOUN
american_scientific_journal-2675	37	8	t	t	NOUN
american_scientific_journal-2675	37	9	as	as	ADP
american_scientific_journal-2675	37	10	measured	measure	VERB
american_scientific_journal-2675	37	11	from	from	ADP
american_scientific_journal-2675	37	12	a	a	DET
american_scientific_journal-2675	37	13	reference	reference	NOUN
american_scientific_journal-2675	37	14	temperature	temperature	NOUN
american_scientific_journal-2675	37	15	rt	rt	PROPN
american_scientific_journal-2675	37	16	,	,	PUNCT
american_scientific_journal-2675	37	17	satisfies	satisfy	VERB
american_scientific_journal-2675	37	18	poisson	poisson	NOUN
american_scientific_journal-2675	37	19	’s	’s	PART
american_scientific_journal-2675	37	20	equation	equation	NOUN
american_scientific_journal-2675	37	21	and	and	CCONJ
american_scientific_journal-2675	37	22	the	the	DET
american_scientific_journal-2675	37	23	heat	heat	NOUN
american_scientific_journal-2675	37	24	flow	flow	NOUN
american_scientific_journal-2675	37	25	vector	vector	NOUN
american_scientific_journal-2675	37	26	q	q	NOUN
american_scientific_journal-2675	37	27	is	be	AUX
american_scientific_journal-2675	37	28	given	give	VERB
american_scientific_journal-2675	37	29	by	by	ADP
american_scientific_journal-2675	37	30	fourier	fourier	ADJ
american_scientific_journal-2675	37	31	law	law	NOUN
american_scientific_journal-2675	37	32	for	for	ADP
american_scientific_journal-2675	37	33	heat	heat	NOUN
american_scientific_journal-2675	37	34	conduction	conduction	NOUN
american_scientific_journal-2675	37	35	2	2	NUM
american_scientific_journal-2675	37	36	(	(	PUNCT
american_scientific_journal-2675	37	37	,	,	PUNCT
american_scientific_journal-2675	37	38	)	)	PUNCT
american_scientific_journal-2675	37	39	,	,	PUNCT
american_scientific_journal-2675	37	40	x	x	X
american_scientific_journal-2675	37	41	yt	yt	VERB
american_scientific_journal-2675	37	42	q	q	PROPN
american_scientific_journal-2675	37	43	k	k	PROPN
american_scientific_journal-2675	37	44	t	t	PROPN
american_scientific_journal-2675	38	1	k	k	PROPN
american_scientific_journal-2675	38	2	ζ	ζ	X
american_scientific_journal-2675	38	3	∇	∇	X
american_scientific_journal-2675	38	4	=	=	SYM
american_scientific_journal-2675	38	5	−	−	PROPN
american_scientific_journal-2675	38	6	=	=	SYM
american_scientific_journal-2675	38	7	−	−	PROPN
american_scientific_journal-2675	38	8	∇	∇	X
american_scientific_journal-2675	38	9	(	(	PUNCT
american_scientific_journal-2675	38	10	2.3	2.3	NUM
american_scientific_journal-2675	38	11	)	)	PUNCT
american_scientific_journal-2675	38	12	where	where	SCONJ
american_scientific_journal-2675	38	13	,	,	PUNCT
american_scientific_journal-2675	38	14	(	(	PUNCT
american_scientific_journal-2675	38	15	,	,	PUNCT
american_scientific_journal-2675	38	16	)	)	PUNCT
american_scientific_journal-2675	38	17	x	x	X
american_scientific_journal-2675	38	18	yζ	yζ	PROPN
american_scientific_journal-2675	38	19	is	be	AUX
american_scientific_journal-2675	38	20	the	the	DET
american_scientific_journal-2675	38	21	rate	rate	NOUN
american_scientific_journal-2675	38	22	of	of	ADP
american_scientific_journal-2675	38	23	heat	heat	NOUN
american_scientific_journal-2675	38	24	supply	supply	NOUN
american_scientific_journal-2675	38	25	per	per	ADP
american_scientific_journal-2675	38	26	unit	unit	NOUN
american_scientific_journal-2675	38	27	volume	volume	NOUN
american_scientific_journal-2675	38	28	and	and	CCONJ
american_scientific_journal-2675	38	29	k	k	PROPN
american_scientific_journal-2675	38	30	is	be	AUX
american_scientific_journal-2675	38	31	the	the	DET
american_scientific_journal-2675	38	32	coefficient	coefficient	NOUN
american_scientific_journal-2675	38	33	of	of	ADP
american_scientific_journal-2675	38	34	heat	heat	NOUN
american_scientific_journal-2675	38	35	conduction	conduction	NOUN
american_scientific_journal-2675	38	36	.	.	PUNCT
american_scientific_journal-2675	39	1	more	more	ADV
american_scientific_journal-2675	39	2	extensive	extensive	ADJ
american_scientific_journal-2675	39	3	forms	form	NOUN
american_scientific_journal-2675	39	4	for	for	ADP
american_scientific_journal-2675	39	5	q	q	NOUN
american_scientific_journal-2675	39	6	may	may	AUX
american_scientific_journal-2675	39	7	be	be	AUX
american_scientific_journal-2675	39	8	found	find	VERB
american_scientific_journal-2675	39	9	in	in	ADP
american_scientific_journal-2675	39	10	[	[	X
american_scientific_journal-2675	39	11	7	7	NUM
american_scientific_journal-2675	39	12	,	,	PUNCT
american_scientific_journal-2675	39	13	p.	p.	NOUN
american_scientific_journal-2675	39	14	101	101	NUM
american_scientific_journal-2675	39	15	]	]	PUNCT
american_scientific_journal-2675	39	16	.	.	PUNCT
american_scientific_journal-2675	40	1	for	for	ADP
american_scientific_journal-2675	40	2	our	our	PRON
american_scientific_journal-2675	40	3	purposes	purpose	NOUN
american_scientific_journal-2675	40	4	,	,	PUNCT
american_scientific_journal-2675	40	5	it	it	PRON
american_scientific_journal-2675	40	6	is	be	AUX
american_scientific_journal-2675	40	7	convenient	convenient	ADJ
american_scientific_journal-2675	40	8	to	to	PART
american_scientific_journal-2675	40	9	write	write	VERB
american_scientific_journal-2675	40	10	h	h	NOUN
american_scientific_journal-2675	40	11	tζ	tζ	NOUN
american_scientific_journal-2675	40	12	ζ	ζ	NOUN
american_scientific_journal-2675	40	13	ζ=	ζ=	ADJ
american_scientific_journal-2675	40	14	+	+	CCONJ
american_scientific_journal-2675	40	15	(	(	PUNCT
american_scientific_journal-2675	40	16	2.4	2.4	NUM
american_scientific_journal-2675	40	17	)	)	PUNCT
american_scientific_journal-2675	40	18	where	where	SCONJ
american_scientific_journal-2675	40	19	,	,	PUNCT
american_scientific_journal-2675	40	20	2	2	NUM
american_scientific_journal-2675	40	21	,	,	PUNCT
american_scientific_journal-2675	40	22	h	h	NOUN
american_scientific_journal-2675	40	23	jζ	jζ	PROPN
american_scientific_journal-2675	40	24	σ	σ	PROPN
american_scientific_journal-2675	40	25	=	=	PRON
american_scientific_journal-2675	40	26	represents	represent	VERB
american_scientific_journal-2675	40	27	the	the	DET
american_scientific_journal-2675	40	28	contribution	contribution	NOUN
american_scientific_journal-2675	40	29	of	of	ADP
american_scientific_journal-2675	40	30	the	the	DET
american_scientific_journal-2675	40	31	magnetic	magnetic	ADJ
american_scientific_journal-2675	40	32	field	field	NOUN
american_scientific_journal-2675	40	33	(	(	PUNCT
american_scientific_journal-2675	40	34	joule	joule	NOUN
american_scientific_journal-2675	40	35	heat	heat	NOUN
american_scientific_journal-2675	40	36	supply	supply	NOUN
american_scientific_journal-2675	40	37	)	)	PUNCT
american_scientific_journal-2675	40	38	,	,	PUNCT
american_scientific_journal-2675	40	39	j	j	PROPN
american_scientific_journal-2675	40	40	represents	represent	VERB
american_scientific_journal-2675	40	41	a	a	DET
american_scientific_journal-2675	40	42	steady	steady	ADJ
american_scientific_journal-2675	40	43	uniform	uniform	NOUN
american_scientific_journal-2675	40	44	distributed	distribute	VERB
american_scientific_journal-2675	40	45	axial	axial	ADJ
american_scientific_journal-2675	40	46	current	current	NOUN
american_scientific_journal-2675	40	47	of	of	ADP
american_scientific_journal-2675	40	48	density	density	NOUN
american_scientific_journal-2675	40	49	,	,	PUNCT
american_scientific_journal-2675	40	50	which	which	PRON
american_scientific_journal-2675	40	51	carries	carry	VERB
american_scientific_journal-2675	40	52	by	by	ADP
american_scientific_journal-2675	40	53	the	the	DET
american_scientific_journal-2675	40	54	plate	plate	NOUN
american_scientific_journal-2675	40	55	and	and	CCONJ
american_scientific_journal-2675	40	56	σ	σ	NOUN
american_scientific_journal-2675	40	57	the	the	DET
american_scientific_journal-2675	40	58	coefficient	coefficient	NOUN
american_scientific_journal-2675	40	59	of	of	ADP
american_scientific_journal-2675	40	60	electrical	electrical	ADJ
american_scientific_journal-2675	40	61	conductivity	conductivity	NOUN
american_scientific_journal-2675	40	62	.	.	PUNCT
american_scientific_journal-2675	41	1	in	in	ADP
american_scientific_journal-2675	41	2	addition	addition	NOUN
american_scientific_journal-2675	41	3	,	,	PUNCT
american_scientific_journal-2675	41	4	tζ	tζ	X
american_scientific_journal-2675	41	5	is	be	AUX
american_scientific_journal-2675	41	6	the	the	DET
american_scientific_journal-2675	41	7	rate	rate	NOUN
american_scientific_journal-2675	41	8	of	of	ADP
american_scientific_journal-2675	41	9	heat	heat	NOUN
american_scientific_journal-2675	41	10	supply	supply	NOUN
american_scientific_journal-2675	41	11	from	from	ADP
american_scientific_journal-2675	41	12	all	all	DET
american_scientific_journal-2675	41	13	other	other	ADJ
american_scientific_journal-2675	41	14	sources	source	NOUN
american_scientific_journal-2675	41	15	.	.	PUNCT
american_scientific_journal-2675	42	1	in	in	ADP
american_scientific_journal-2675	42	2	this	this	DET
american_scientific_journal-2675	42	3	work	work	NOUN
american_scientific_journal-2675	42	4	tζ	tζ	PROPN
american_scientific_journal-2675	42	5	will	will	AUX
american_scientific_journal-2675	42	6	be	be	AUX
american_scientific_journal-2675	42	7	neglected	neglect	VERB
american_scientific_journal-2675	42	8	.	.	PUNCT
american_scientific_journal-2675	43	1	the	the	DET
american_scientific_journal-2675	43	2	general	general	ADJ
american_scientific_journal-2675	43	3	solution	solution	NOUN
american_scientific_journal-2675	43	4	(	(	PUNCT
american_scientific_journal-2675	43	5	2.3	2.3	NUM
american_scientific_journal-2675	43	6	)	)	PUNCT
american_scientific_journal-2675	43	7	is	be	AUX
american_scientific_journal-2675	43	8	h	h	PROPN
american_scientific_journal-2675	43	9	pt	pt	PROPN
american_scientific_journal-2675	43	10	t	t	NOUN
american_scientific_journal-2675	43	11	t=	t=	PRON
american_scientific_journal-2675	44	1	+	+	CCONJ
american_scientific_journal-2675	44	2	(	(	PUNCT
american_scientific_journal-2675	44	3	2.5	2.5	NUM
american_scientific_journal-2675	44	4	)	)	PUNCT
american_scientific_journal-2675	44	5	where	where	SCONJ
american_scientific_journal-2675	44	6	ht	ht	PROPN
american_scientific_journal-2675	44	7	is	be	AUX
american_scientific_journal-2675	44	8	the	the	DET
american_scientific_journal-2675	44	9	harmonic	harmonic	ADJ
american_scientific_journal-2675	44	10	part	part	NOUN
american_scientific_journal-2675	44	11	of	of	ADP
american_scientific_journal-2675	44	12	t	t	NOUN
american_scientific_journal-2675	44	13	i.e.	i.e.	X
american_scientific_journal-2675	44	14	is	be	AUX
american_scientific_journal-2675	44	15	the	the	DET
american_scientific_journal-2675	44	16	solution	solution	NOUN
american_scientific_journal-2675	44	17	of	of	ADP
american_scientific_journal-2675	44	18	the	the	DET
american_scientific_journal-2675	44	19	boundary	boundary	ADJ
american_scientific_journal-2675	44	20	value	value	NOUN
american_scientific_journal-2675	44	21	problem	problem	NOUN
american_scientific_journal-2675	44	22	2	2	NUM
american_scientific_journal-2675	44	23	2	2	NUM
american_scientific_journal-2675	44	24	2	2	NUM
american_scientific_journal-2675	44	25	2	2	NUM
american_scientific_journal-2675	44	26	2	2	NUM
american_scientific_journal-2675	44	27	2	2	NUM
american_scientific_journal-2675	44	28	(	(	PUNCT
american_scientific_journal-2675	44	29	)	)	PUNCT
american_scientific_journal-2675	44	30	0,hi	0,hi	NOUN
american_scientific_journal-2675	45	1	t	t	NOUN
american_scientific_journal-2675	45	2	x	x	SYM
american_scientific_journal-2675	45	3	y	y	PROPN
american_scientific_journal-2675	45	4	∂	∂	NOUN
american_scientific_journal-2675	45	5	∂	∂	NUM
american_scientific_journal-2675	45	6	∇	∇	X
american_scientific_journal-2675	45	7	=	=	SYM
american_scientific_journal-2675	45	8	∇	∇	X
american_scientific_journal-2675	45	9	=	=	SYM
american_scientific_journal-2675	45	10	+	+	NUM
american_scientific_journal-2675	45	11	∂	∂	NUM
american_scientific_journal-2675	45	12	∂	∂	NUM
american_scientific_journal-2675	45	13	,	,	PUNCT
american_scientific_journal-2675	45	14	(	(	PUNCT
american_scientific_journal-2675	45	15	)	)	PUNCT
american_scientific_journal-2675	45	16	0htii	0htii	NUM
american_scientific_journal-2675	45	17	r	r	NOUN
american_scientific_journal-2675	45	18	∂	∂	NUM
american_scientific_journal-2675	45	19	=	=	SYM
american_scientific_journal-2675	45	20	∂	∂	NOUN
american_scientific_journal-2675	45	21	on	on	ADP
american_scientific_journal-2675	45	22	the	the	DET
american_scientific_journal-2675	45	23	boundary	boundary	ADJ
american_scientific_journal-2675	45	24	,	,	PUNCT
american_scientific_journal-2675	45	25	or	or	CCONJ
american_scientific_journal-2675	45	26	r	r	NOUN
american_scientific_journal-2675	45	27	r	r	NOUN
american_scientific_journal-2675	45	28	x	x	NOUN
american_scientific_journal-2675	45	29	iy=	iy=	NOUN
american_scientific_journal-2675	45	30	=	=	SYM
american_scientific_journal-2675	45	31	+	+	CCONJ
american_scientific_journal-2675	45	32	(	(	PUNCT
american_scientific_journal-2675	45	33	2,6	2,6	NUM
american_scientific_journal-2675	45	34	)	)	PUNCT
american_scientific_journal-2675	45	35	214	214	NUM
american_scientific_journal-2675	45	36	-	-	SYM
american_scientific_journal-2675	45	37	201	201	NUM
american_scientific_journal-2675	45	38	,	,	PUNCT
american_scientific_journal-2675	45	39	no	no	DET
american_scientific_journal-2675	45	40	1	1	NUM
american_scientific_journal-2675	45	41	,	,	PUNCT
american_scientific_journal-2675	45	42	pp	pp	ADV
american_scientific_journal-2675	45	43	82	82	NUM
american_scientific_journal-2675	45	44	)	)	PUNCT
american_scientific_journal-2675	45	45	volume	volume	NOUN
american_scientific_journal-2675	45	46	2017	2017	NUM
american_scientific_journal-2675	45	47	(	(	PUNCT
american_scientific_journal-2675	45	48	)	)	PUNCT
american_scientific_journal-2675	45	49	research	research	NOUN
american_scientific_journal-2675	45	50	journal	journal	NOUN
american_scientific_journal-2675	45	51	for	for	ADP
american_scientific_journal-2675	45	52	engineering	engineering	NOUN
american_scientific_journal-2675	45	53	,	,	PUNCT
american_scientific_journal-2675	45	54	technology	technology	NOUN
american_scientific_journal-2675	45	55	,	,	PUNCT
american_scientific_journal-2675	45	56	and	and	CCONJ
american_scientific_journal-2675	45	57	sciences	science	NOUN
american_scientific_journal-2675	45	58	(	(	PUNCT
american_scientific_journal-2675	45	59	asrjets	asrjet	NOUN
american_scientific_journal-2675	45	60	american	american	PROPN
american_scientific_journal-2675	45	61	scientific	scientific	ADJ
american_scientific_journal-2675	45	62	204	204	NUM
american_scientific_journal-2675	45	63	moreover	moreover	ADV
american_scientific_journal-2675	45	64	,	,	PUNCT
american_scientific_journal-2675	45	65	pt	pt	X
american_scientific_journal-2675	45	66	is	be	AUX
american_scientific_journal-2675	45	67	any	any	DET
american_scientific_journal-2675	45	68	particular	particular	ADJ
american_scientific_journal-2675	45	69	solution	solution	NOUN
american_scientific_journal-2675	45	70	of	of	ADP
american_scientific_journal-2675	45	71	poisson	poisson	PROPN
american_scientific_journal-2675	45	72	’s	’s	PART
american_scientific_journal-2675	45	73	eq	eq	NOUN
american_scientific_journal-2675	45	74	.	.	PUNCT
american_scientific_journal-2675	46	1	(	(	PUNCT
american_scientific_journal-2675	46	2	2	2	NUM
american_scientific_journal-2675	46	3	.	.	NOUN
american_scientific_journal-2675	46	4	3	3	NUM
american_scientific_journal-2675	46	5	)	)	PUNCT
american_scientific_journal-2675	46	6	.	.	PUNCT
american_scientific_journal-2675	47	1	it	it	PRON
american_scientific_journal-2675	47	2	easily	easily	ADV
american_scientific_journal-2675	47	3	to	to	PART
american_scientific_journal-2675	47	4	have	have	VERB
american_scientific_journal-2675	47	5	2	2	NUM
american_scientific_journal-2675	47	6	0	0	NUM
american_scientific_journal-2675	47	7	0{im	0{im	NOUN
american_scientific_journal-2675	47	8	}	}	PUNCT
american_scientific_journal-2675	47	9	.	.	PUNCT
american_scientific_journal-2675	48	1	i	i	PRON
american_scientific_journal-2675	48	2	m	m	VERB
american_scientific_journal-2675	48	3	4	4	NUM
american_scientific_journal-2675	48	4	r	r	NOUN
american_scientific_journal-2675	48	5	jt	jt	PROPN
american_scientific_journal-2675	48	6	t	t	PROPN
american_scientific_journal-2675	48	7	z	z	PROPN
american_scientific_journal-2675	48	8	z	z	PROPN
american_scientific_journal-2675	48	9	z	z	NOUN
american_scientific_journal-2675	48	10	z	z	NOUN
american_scientific_journal-2675	48	11	kσ	kσ	NOUN
american_scientific_journal-2675	48	12	=	=	PUNCT
american_scientific_journal-2675	49	1	+	+	NUM
american_scientific_journal-2675	49	2	−	−	PROPN
american_scientific_journal-2675	49	3	(	(	PUNCT
american_scientific_journal-2675	49	4	2.7	2.7	NUM
american_scientific_journal-2675	49	5	)	)	PUNCT
american_scientific_journal-2675	49	6	the	the	DET
american_scientific_journal-2675	49	7	thermoelastic	thermoelastic	ADJ
american_scientific_journal-2675	49	8	potential	potential	ADJ
american_scientific_journal-2675	49	9	functionφ	functionφ	NOUN
american_scientific_journal-2675	49	10	,	,	PUNCT
american_scientific_journal-2675	49	11	satisfies	satisfie	NOUN
american_scientific_journal-2675	49	12	,	,	PUNCT
american_scientific_journal-2675	49	13	see	see	VERB
american_scientific_journal-2675	49	14	parkus	parku	NOUN
american_scientific_journal-2675	50	1	[	[	X
american_scientific_journal-2675	50	2	16	16	NUM
american_scientific_journal-2675	50	3	]	]	X
american_scientific_journal-2675	50	4	,	,	PUNCT
american_scientific_journal-2675	50	5	2	2	NUM
american_scientific_journal-2675	50	6	(	(	PUNCT
american_scientific_journal-2675	50	7	1	1	NUM
american_scientific_journal-2675	50	8	)	)	PUNCT
american_scientific_journal-2675	50	9	.tυ	.tυ	PUNCT
american_scientific_journal-2675	51	1	α∇	α∇	PROPN
american_scientific_journal-2675	51	2	φ	φ	NUM
american_scientific_journal-2675	51	3	=	=	PUNCT
american_scientific_journal-2675	52	1	+	+	CCONJ
american_scientific_journal-2675	52	2	(	(	PUNCT
american_scientific_journal-2675	52	3	2.8	2.8	NUM
american_scientific_journal-2675	52	4	)	)	PUNCT
american_scientific_journal-2675	52	5	where	where	SCONJ
american_scientific_journal-2675	52	6	z	z	NOUN
american_scientific_journal-2675	52	7	is	be	AUX
american_scientific_journal-2675	52	8	defined	define	VERB
american_scientific_journal-2675	52	9	by	by	ADP
american_scientific_journal-2675	52	10	eq	eq	PROPN
american_scientific_journal-2675	52	11	.	.	PUNCT
american_scientific_journal-2675	53	1	(	(	PUNCT
american_scientific_journal-2675	53	2	2.1	2.1	NUM
american_scientific_journal-2675	53	3	)	)	PUNCT
american_scientific_journal-2675	53	4	.	.	PUNCT
american_scientific_journal-2675	54	1	substituting	substitute	VERB
american_scientific_journal-2675	54	2	from	from	ADP
american_scientific_journal-2675	54	3	(	(	PUNCT
american_scientific_journal-2675	54	4	2.8	2.8	NUM
american_scientific_journal-2675	54	5	)	)	PUNCT
american_scientific_journal-2675	54	6	into	into	ADP
american_scientific_journal-2675	54	7	(	(	PUNCT
american_scientific_journal-2675	54	8	2.2	2.2	NUM
american_scientific_journal-2675	54	9	)	)	PUNCT
american_scientific_journal-2675	54	10	and	and	CCONJ
american_scientific_journal-2675	54	11	integrating	integrate	VERB
american_scientific_journal-2675	54	12	the	the	DET
american_scientific_journal-2675	54	13	result	result	NOUN
american_scientific_journal-2675	54	14	,	,	PUNCT
american_scientific_journal-2675	54	15	the	the	DET
american_scientific_journal-2675	54	16	thermoelastic	thermoelastic	ADJ
american_scientific_journal-2675	54	17	potential	potential	NOUN
american_scientific_journal-2675	54	18	becomes	become	VERB
american_scientific_journal-2675	54	19	2	2	NUM
american_scientific_journal-2675	54	20	2	2	NUM
american_scientific_journal-2675	54	21	2	2	NUM
american_scientific_journal-2675	54	22	2	2	NUM
american_scientific_journal-2675	54	23	0	0	NUM
american_scientific_journal-2675	54	24	0	0	NUM
american_scientific_journal-2675	54	25	(	(	PUNCT
american_scientific_journal-2675	55	1	)	)	PUNCT
american_scientific_journal-2675	55	2	(	(	PUNCT
american_scientific_journal-2675	55	3	1	1	X
american_scientific_journal-2675	55	4	)	)	PUNCT
american_scientific_journal-2675	55	5	{	{	PUNCT
american_scientific_journal-2675	55	6	i	i	PRON
american_scientific_journal-2675	55	7	m	m	VERB
american_scientific_journal-2675	56	1	[	[	X
american_scientific_journal-2675	56	2	ln	ln	ADJ
american_scientific_journal-2675	56	3	(	(	PUNCT
american_scientific_journal-2675	56	4	)	)	PUNCT
american_scientific_journal-2675	56	5	}	}	PUNCT
american_scientific_journal-2675	56	6	.	.	PUNCT
american_scientific_journal-2675	57	1	4	4	NUM
american_scientific_journal-2675	57	2	jz	jz	NOUN
american_scientific_journal-2675	57	3	t	t	PROPN
american_scientific_journal-2675	57	4	r	r	NOUN
american_scientific_journal-2675	57	5	z	z	NOUN
american_scientific_journal-2675	57	6	z	z	NOUN
american_scientific_journal-2675	57	7	z	z	NOUN
american_scientific_journal-2675	57	8	z	z	NOUN
american_scientific_journal-2675	57	9	z	z	NOUN
american_scientific_journal-2675	58	1	k	k	NOUN
american_scientific_journal-2675	58	2	υ	υ	PROPN
american_scientific_journal-2675	58	3	α	α	PROPN
american_scientific_journal-2675	58	4	σ	σ	PROPN
american_scientific_journal-2675	58	5	φ	φ	PROPN
american_scientific_journal-2675	58	6	=	=	PUNCT
american_scientific_journal-2675	59	1	+	+	NUM
american_scientific_journal-2675	59	2	−	−	PROPN
american_scientific_journal-2675	60	1	−	−	PROPN
american_scientific_journal-2675	60	2	(	(	PUNCT
american_scientific_journal-2675	60	3	2.9	2.9	NUM
american_scientific_journal-2675	60	4	)	)	PUNCT
american_scientific_journal-2675	60	5	in	in	ADP
american_scientific_journal-2675	60	6	this	this	DET
american_scientific_journal-2675	60	7	case	case	NOUN
american_scientific_journal-2675	60	8	,	,	PUNCT
american_scientific_journal-2675	60	9	the	the	DET
american_scientific_journal-2675	60	10	formulas	formula	NOUN
american_scientific_journal-2675	60	11	(	(	PUNCT
american_scientific_journal-2675	60	12	1.1	1.1	NUM
american_scientific_journal-2675	60	13	)	)	PUNCT
american_scientific_journal-2675	60	14	for	for	ADP
american_scientific_journal-2675	60	15	the	the	DET
american_scientific_journal-2675	60	16	first	first	ADJ
american_scientific_journal-2675	60	17	and	and	CCONJ
american_scientific_journal-2675	60	18	second	second	ADJ
american_scientific_journal-2675	60	19	bvps	bvps	NOUN
american_scientific_journal-2675	60	20	respectively	respectively	ADV
american_scientific_journal-2675	60	21	,	,	PUNCT
american_scientific_journal-2675	60	22	take	take	VERB
american_scientific_journal-2675	60	23	the	the	DET
american_scientific_journal-2675	60	24	following	follow	VERB
american_scientific_journal-2675	60	25	forms	form	NOUN
american_scientific_journal-2675	60	26	,	,	PUNCT
american_scientific_journal-2675	60	27	1	1	NUM
american_scientific_journal-2675	60	28	1	1	NUM
american_scientific_journal-2675	60	29	1	1	NUM
american_scientific_journal-2675	60	30	0	0	NUM
american_scientific_journal-2675	60	31	1	1	NUM
american_scientific_journal-2675	60	32	(	(	PUNCT
american_scientific_journal-2675	60	33	)	)	PUNCT
american_scientific_journal-2675	60	34	(	(	PUNCT
american_scientific_journal-2675	60	35	)	)	PUNCT
american_scientific_journal-2675	60	36	(	(	PUNCT
american_scientific_journal-2675	60	37	)	)	PUNCT
american_scientific_journal-2675	60	38	[	[	PUNCT
american_scientific_journal-2675	60	39	(	(	PUNCT
american_scientific_journal-2675	60	40	)	)	PUNCT
american_scientific_journal-2675	60	41	(	(	PUNCT
american_scientific_journal-2675	60	42	)	)	PUNCT
american_scientific_journal-2675	60	43	]	]	PUNCT
american_scientific_journal-2675	60	44	2	2	NUM
american_scientific_journal-2675	60	45	s	s	NOUN
american_scientific_journal-2675	60	46	t	t	NOUN
american_scientific_journal-2675	60	47	t	t	PROPN
american_scientific_journal-2675	60	48	t	t	PROPN
american_scientific_journal-2675	60	49	t	t	PROPN
american_scientific_journal-2675	61	1	i	i	PRON
american_scientific_journal-2675	61	2	ix	ix	PROPN
american_scientific_journal-2675	62	1	s	s	PROPN
american_scientific_journal-2675	62	2	y	y	NOUN
american_scientific_journal-2675	62	3	s	s	X
american_scientific_journal-2675	62	4	ds	ds	NOUN
american_scientific_journal-2675	62	5	c	c	NOUN
american_scientific_journal-2675	62	6	x	x	VERB
american_scientific_journal-2675	63	1	y	y	NOUN
american_scientific_journal-2675	63	2	g	g	PROPN
american_scientific_journal-2675	63	3	ϕ	ϕ	PROPN
american_scientific_journal-2675	63	4	ϕ	ϕ	X
american_scientific_journal-2675	63	5	ψ	ψ	X
american_scientific_journal-2675	63	6	∂φ	∂φ	PROPN
american_scientific_journal-2675	63	7	∂φ′+	∂φ′+	PROPN
american_scientific_journal-2675	63	8	+	+	CCONJ
american_scientific_journal-2675	63	9	=	=	PUNCT
american_scientific_journal-2675	64	1	+	+	PUNCT
american_scientific_journal-2675	64	2	+	+	NUM
american_scientific_journal-2675	64	3	−	−	PROPN
american_scientific_journal-2675	64	4	+	+	NUM
american_scientific_journal-2675	64	5	∂	∂	NUM
american_scientific_journal-2675	64	6	∂	∂	NUM
american_scientific_journal-2675	64	7	∫	∫	PROPN
american_scientific_journal-2675	64	8	(	(	PUNCT
american_scientific_journal-2675	64	9	2.10	2.10	NUM
american_scientific_journal-2675	64	10	)	)	PUNCT
american_scientific_journal-2675	64	11	1	1	NUM
american_scientific_journal-2675	64	12	1	1	NUM
american_scientific_journal-2675	64	13	1	1	NUM
american_scientific_journal-2675	64	14	(	(	PUNCT
american_scientific_journal-2675	64	15	)	)	PUNCT
american_scientific_journal-2675	64	16	(	(	PUNCT
american_scientific_journal-2675	64	17	)	)	PUNCT
american_scientific_journal-2675	64	18	(	(	PUNCT
american_scientific_journal-2675	64	19	)	)	PUNCT
american_scientific_journal-2675	64	20	k	k	PROPN
american_scientific_journal-2675	64	21	t	t	PROPN
american_scientific_journal-2675	64	22	t	t	PROPN
american_scientific_journal-2675	64	23	t	t	PROPN
american_scientific_journal-2675	64	24	t	t	X
american_scientific_journal-2675	64	25	u	u	PROPN
american_scientific_journal-2675	64	26	iv	iv	INTJ
american_scientific_journal-2675	64	27	i	i	NOUN
american_scientific_journal-2675	64	28	x	x	PROPN
american_scientific_journal-2675	64	29	y	y	PROPN
american_scientific_journal-2675	64	30	ϕ	ϕ	X
american_scientific_journal-2675	64	31	ϕ	ϕ	X
american_scientific_journal-2675	64	32	ψ	ψ	X
american_scientific_journal-2675	64	33	∂φ	∂φ	PROPN
american_scientific_journal-2675	64	34	∂φ′−	∂φ′−	NOUN
american_scientific_journal-2675	64	35	−	−	PROPN
american_scientific_journal-2675	65	1	=	=	PUNCT
american_scientific_journal-2675	66	1	+	+	NUM
american_scientific_journal-2675	66	2	−	−	PROPN
american_scientific_journal-2675	66	3	−	−	PROPN
american_scientific_journal-2675	66	4	∂	∂	NUM
american_scientific_journal-2675	66	5	∂	∂	NUM
american_scientific_journal-2675	66	6	(	(	PUNCT
american_scientific_journal-2675	66	7	2.11	2.11	NUM
american_scientific_journal-2675	66	8	)	)	PUNCT
american_scientific_journal-2675	66	9	where	where	SCONJ
american_scientific_journal-2675	66	10	the	the	DET
american_scientific_journal-2675	66	11	applied	apply	VERB
american_scientific_journal-2675	66	12	stresses	stress	NOUN
american_scientific_journal-2675	66	13	(	(	PUNCT
american_scientific_journal-2675	66	14	)	)	PUNCT
american_scientific_journal-2675	66	15	x	x	SYM
american_scientific_journal-2675	66	16	s	s	X
american_scientific_journal-2675	66	17	and	and	CCONJ
american_scientific_journal-2675	66	18	(	(	PUNCT
american_scientific_journal-2675	66	19	)	)	PUNCT
american_scientific_journal-2675	66	20	y	y	NOUN
american_scientific_journal-2675	66	21	s	s	NOUN
american_scientific_journal-2675	66	22	are	be	AUX
american_scientific_journal-2675	66	23	prescribed	prescribe	VERB
american_scientific_journal-2675	66	24	on	on	ADP
american_scientific_journal-2675	66	25	the	the	DET
american_scientific_journal-2675	66	26	boundary	boundary	NOUN
american_scientific_journal-2675	66	27	of	of	ADP
american_scientific_journal-2675	66	28	the	the	DET
american_scientific_journal-2675	66	29	plane	plane	NOUN
american_scientific_journal-2675	67	1	s	s	PART
american_scientific_journal-2675	67	2	is	be	AUX
american_scientific_journal-2675	67	3	the	the	DET
american_scientific_journal-2675	67	4	length	length	NOUN
american_scientific_journal-2675	67	5	measured	measure	VERB
american_scientific_journal-2675	67	6	from	from	ADP
american_scientific_journal-2675	67	7	an	an	DET
american_scientific_journal-2675	67	8	arbitrary	arbitrary	ADJ
american_scientific_journal-2675	67	9	point	point	NOUN
american_scientific_journal-2675	67	10	,	,	PUNCT
american_scientific_journal-2675	67	11	u	u	NOUN
american_scientific_journal-2675	67	12	and	and	CCONJ
american_scientific_journal-2675	67	13	v	v	NOUN
american_scientific_journal-2675	67	14	are	be	AUX
american_scientific_journal-2675	67	15	the	the	DET
american_scientific_journal-2675	67	16	displacement	displacement	ADJ
american_scientific_journal-2675	67	17	components	component	NOUN
american_scientific_journal-2675	67	18	,	,	PUNCT
american_scientific_journal-2675	67	19	g	g	PROPN
american_scientific_journal-2675	67	20	is	be	AUX
american_scientific_journal-2675	67	21	the	the	DET
american_scientific_journal-2675	67	22	shear	shear	NOUN
american_scientific_journal-2675	67	23	modulus	modulus	NOUN
american_scientific_journal-2675	67	24	and	and	CCONJ
american_scientific_journal-2675	67	25	φ	φ	PROPN
american_scientific_journal-2675	67	26	represents	represent	VERB
american_scientific_journal-2675	67	27	the	the	DET
american_scientific_journal-2675	67	28	thermoelastic	thermoelastic	ADJ
american_scientific_journal-2675	67	29	potential	potential	ADJ
american_scientific_journal-2675	67	30	function	function	NOUN
american_scientific_journal-2675	67	31	.	.	PUNCT
american_scientific_journal-2675	68	1	in	in	ADP
american_scientific_journal-2675	68	2	addition	addition	NOUN
american_scientific_journal-2675	68	3	,	,	PUNCT
american_scientific_journal-2675	68	4	the	the	DET
american_scientific_journal-2675	68	5	applied	apply	VERB
american_scientific_journal-2675	68	6	stresses	stress	NOUN
american_scientific_journal-2675	68	7	(	(	PUNCT
american_scientific_journal-2675	68	8	)	)	PUNCT
american_scientific_journal-2675	68	9	x	x	SYM
american_scientific_journal-2675	68	10	s	s	X
american_scientific_journal-2675	68	11	and	and	CCONJ
american_scientific_journal-2675	68	12	(	(	PUNCT
american_scientific_journal-2675	68	13	)	)	PUNCT
american_scientific_journal-2675	68	14	y	y	PROPN
american_scientific_journal-2675	68	15	s	s	NOUN
american_scientific_journal-2675	68	16	satisfy	satisfy	VERB
american_scientific_journal-2675	68	17	the	the	DET
american_scientific_journal-2675	68	18	following	following	NOUN
american_scientific_journal-2675	68	19	,	,	PUNCT
american_scientific_journal-2675	68	20	see	see	VERB
american_scientific_journal-2675	68	21	[	[	X
american_scientific_journal-2675	68	22	16	16	NUM
american_scientific_journal-2675	68	23	]	]	PUNCT
american_scientific_journal-2675	68	24	(	(	PUNCT
american_scientific_journal-2675	68	25	)	)	PUNCT
american_scientific_journal-2675	68	26	;	;	PUNCT
american_scientific_journal-2675	68	27	(	(	PUNCT
american_scientific_journal-2675	68	28	)	)	PUNCT
american_scientific_journal-2675	68	29	.xx	.xx	PUNCT
american_scientific_journal-2675	69	1	xy	xy	PROPN
american_scientific_journal-2675	69	2	yx	yx	X
american_scientific_journal-2675	69	3	yy	yy	PROPN
american_scientific_journal-2675	69	4	dy	dy	PROPN
american_scientific_journal-2675	69	5	dx	dx	PROPN
american_scientific_journal-2675	69	6	dy	dy	PROPN
american_scientific_journal-2675	69	7	dxx	dxx	PROPN
american_scientific_journal-2675	69	8	s	s	PROPN
american_scientific_journal-2675	69	9	y	y	PROPN
american_scientific_journal-2675	69	10	s	s	X
american_scientific_journal-2675	69	11	ds	ds	ADJ
american_scientific_journal-2675	69	12	ds	ds	ADJ
american_scientific_journal-2675	69	13	ds	ds	ADJ
american_scientific_journal-2675	69	14	ds	ds	PROPN
american_scientific_journal-2675	69	15	σ	σ	PROPN
american_scientific_journal-2675	69	16	σ	σ	PROPN
american_scientific_journal-2675	69	17	σ	σ	PROPN
american_scientific_journal-2675	69	18	σ=	σ=	NOUN
american_scientific_journal-2675	69	19	−	−	PROPN
american_scientific_journal-2675	69	20	=	=	SYM
american_scientific_journal-2675	69	21	−	−	PROPN
american_scientific_journal-2675	69	22	(	(	PUNCT
american_scientific_journal-2675	69	23	2.12	2.12	NUM
american_scientific_journal-2675	69	24	)	)	PUNCT
american_scientific_journal-2675	69	25	where	where	SCONJ
american_scientific_journal-2675	69	26	,	,	PUNCT
american_scientific_journal-2675	69	27	xx	xx	NUM
american_scientific_journal-2675	69	28	xyσ	xyσ	PROPN
american_scientific_journal-2675	69	29	σ	σ	PROPN
american_scientific_journal-2675	69	30	and	and	CCONJ
american_scientific_journal-2675	69	31	yyσ	yyσ	PROPN
american_scientific_journal-2675	69	32	are	be	AUX
american_scientific_journal-2675	69	33	the	the	DET
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american_scientific_journal-2675	69	35	of	of	ADP
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american_scientific_journal-2675	69	40	following	follow	VERB
american_scientific_journal-2675	69	41	relations	relation	NOUN
american_scientific_journal-2675	69	42	,	,	PUNCT
american_scientific_journal-2675	69	43	2	2	NUM
american_scientific_journal-2675	69	44	2	2	NUM
american_scientific_journal-2675	69	45	2	2	NUM
american_scientific_journal-2675	69	46	2	2	NUM
american_scientific_journal-2675	69	47	12	12	NUM
american_scientific_journal-2675	69	48	[	[	PUNCT
american_scientific_journal-2675	69	49	(	(	PUNCT
american_scientific_journal-2675	69	50	2	2	NUM
american_scientific_journal-2675	69	51	)	)	PUNCT
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american_scientific_journal-2675	69	53	[	[	PUNCT
american_scientific_journal-2675	69	54	2	2	NUM
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american_scientific_journal-2675	71	2	g	g	PROPN
american_scientific_journal-2675	71	3	t	t	PROPN
american_scientific_journal-2675	71	4	z	z	NOUN
american_scientific_journal-2675	71	5	z	z	NOUN
american_scientific_journal-2675	71	6	z	z	NOUN
american_scientific_journal-2675	71	7	z	z	NOUN
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american_scientific_journal-2675	71	9	x	x	SYM
american_scientific_journal-2675	71	10	σ	σ	PUNCT
american_scientific_journal-2675	71	11	λ	λ	PROPN
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american_scientific_journal-2675	71	13	ϕ	ϕ	X
american_scientific_journal-2675	71	14	ψ∂	ψ∂	X
american_scientific_journal-2675	71	15	φ	φ	PROPN
american_scientific_journal-2675	71	16	∂	∂	PROPN
american_scientific_journal-2675	71	17	φ	φ	PROPN
american_scientific_journal-2675	71	18	′	′	NUM
american_scientific_journal-2675	72	1	′′	′′	NOUN
american_scientific_journal-2675	72	2	′′=	′′=	NUM
american_scientific_journal-2675	72	3	−	−	ADP
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american_scientific_journal-2675	73	1	+	+	CCONJ
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american_scientific_journal-2675	73	3	−	−	PROPN
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american_scientific_journal-2675	73	5	∂	∂	NUM
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american_scientific_journal-2675	73	7	,	,	PUNCT
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american_scientific_journal-2675	73	13	2	2	NUM
american_scientific_journal-2675	73	14	2	2	NUM
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american_scientific_journal-2675	74	3	2yy	2yy	NOUN
american_scientific_journal-2675	74	4	g	g	PROPN
american_scientific_journal-2675	74	5	t	t	PROPN
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american_scientific_journal-2675	74	8	z	z	NOUN
american_scientific_journal-2675	74	9	z	z	NOUN
american_scientific_journal-2675	74	10	y	y	NOUN
american_scientific_journal-2675	74	11	x	x	SYM
american_scientific_journal-2675	74	12	σ	σ	PUNCT
american_scientific_journal-2675	74	13	λ	λ	PROPN
american_scientific_journal-2675	74	14	ϕ	ϕ	X
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american_scientific_journal-2675	74	16	ψ∂	ψ∂	X
american_scientific_journal-2675	74	17	φ	φ	PROPN
american_scientific_journal-2675	74	18	∂	∂	PROPN
american_scientific_journal-2675	74	19	φ	φ	PROPN
american_scientific_journal-2675	74	20	′	′	NUM
american_scientific_journal-2675	75	1	′′	′′	NOUN
american_scientific_journal-2675	75	2	′′=	′′=	NUM
american_scientific_journal-2675	75	3	−	−	ADP
american_scientific_journal-2675	75	4	−	−	PROPN
american_scientific_journal-2675	76	1	+	+	CCONJ
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american_scientific_journal-2675	77	2	+	+	NUM
american_scientific_journal-2675	77	3	∂	∂	NUM
american_scientific_journal-2675	77	4	∂	∂	NUM
american_scientific_journal-2675	77	5	,	,	PUNCT
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american_scientific_journal-2675	77	8	)	)	PUNCT
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american_scientific_journal-2675	77	10	,	,	PUNCT
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american_scientific_journal-2675	77	14	,	,	PUNCT
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american_scientific_journal-2675	77	16	1	1	NUM
american_scientific_journal-2675	77	17	,	,	PUNCT
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american_scientific_journal-2675	77	29	,	,	PUNCT
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american_scientific_journal-2675	77	31	,	,	PUNCT
american_scientific_journal-2675	77	32	and	and	CCONJ
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american_scientific_journal-2675	77	34	(	(	PUNCT
american_scientific_journal-2675	77	35	asrjets	asrjet	NOUN
american_scientific_journal-2675	77	36	american	american	ADJ
american_scientific_journal-2675	77	37	scientific	scientific	ADJ
american_scientific_journal-2675	77	38	205	205	NUM
american_scientific_journal-2675	77	39	2	2	NUM
american_scientific_journal-2675	77	40	2	2	NUM
american_scientific_journal-2675	77	41	[	[	PUNCT
american_scientific_journal-2675	77	42	i	i	PRON
american_scientific_journal-2675	77	43	m	m	VERB
american_scientific_journal-2675	77	44	(	(	PUNCT
american_scientific_journal-2675	77	45	(	(	PUNCT
american_scientific_journal-2675	77	46	)	)	PUNCT
american_scientific_journal-2675	77	47	(	(	PUNCT
american_scientific_journal-2675	77	48	)	)	PUNCT
american_scientific_journal-2675	77	49	)	)	PUNCT
american_scientific_journal-2675	78	1	]	]	PUNCT
american_scientific_journal-2675	78	2	xy	xy	PROPN
american_scientific_journal-2675	78	3	g	g	PROPN
american_scientific_journal-2675	78	4	z	z	PROPN
american_scientific_journal-2675	78	5	z	z	NOUN
american_scientific_journal-2675	78	6	z	z	NOUN
american_scientific_journal-2675	78	7	x	x	PUNCT
american_scientific_journal-2675	78	8	y	y	PROPN
american_scientific_journal-2675	78	9	σ	σ	PROPN
american_scientific_journal-2675	78	10	ϕ	ϕ	PROPN
american_scientific_journal-2675	78	11	ψ∂	ψ∂	X
american_scientific_journal-2675	78	12	φ	φ	PROPN
american_scientific_journal-2675	78	13	′′	′′	PROPN
american_scientific_journal-2675	78	14	′′=	′′=	NUM
american_scientific_journal-2675	78	15	+	+	CCONJ
american_scientific_journal-2675	78	16	+	+	NUM
american_scientific_journal-2675	78	17	∂	∂	NUM
american_scientific_journal-2675	78	18	∂	∂	NOUN
american_scientific_journal-2675	78	19	.	.	PUNCT
american_scientific_journal-2675	79	1	(	(	PUNCT
american_scientific_journal-2675	79	2	2.15	2.15	NUM
american_scientific_journal-2675	79	3	)	)	PUNCT
american_scientific_journal-2675	79	4	here	here	ADV
american_scientific_journal-2675	79	5	,	,	PUNCT
american_scientific_journal-2675	79	6	)	)	PUNCT
american_scientific_journal-2675	79	7	1(2	1(2	NUM
american_scientific_journal-2675	80	1	νλ	νλ	NOUN
american_scientific_journal-2675	80	2	α	α	NOUN
american_scientific_journal-2675	81	1	+	+	NOUN
american_scientific_journal-2675	81	2	=	=	PUNCT
american_scientific_journal-2675	81	3	is	be	AUX
american_scientific_journal-2675	81	4	the	the	DET
american_scientific_journal-2675	81	5	coefficient	coefficient	NOUN
american_scientific_journal-2675	81	6	of	of	ADP
american_scientific_journal-2675	81	7	heat	heat	NOUN
american_scientific_journal-2675	81	8	transfer	transfer	NOUN
american_scientific_journal-2675	81	9	and	and	CCONJ
american_scientific_journal-2675	81	10	,	,	PUNCT
american_scientific_journal-2675	81	11	t	t	PROPN
american_scientific_journal-2675	81	12	φ	φ	PROPN
american_scientific_journal-2675	81	13	are	be	AUX
american_scientific_journal-2675	81	14	given	give	VERB
american_scientific_journal-2675	81	15	respectively	respectively	ADV
american_scientific_journal-2675	81	16	,	,	PUNCT
american_scientific_journal-2675	81	17	by	by	ADP
american_scientific_journal-2675	81	18	equations	equation	NOUN
american_scientific_journal-2675	81	19	(	(	PUNCT
american_scientific_journal-2675	81	20	2.7	2.7	NUM
american_scientific_journal-2675	81	21	)	)	PUNCT
american_scientific_journal-2675	81	22	,	,	PUNCT
american_scientific_journal-2675	81	23	and	and	CCONJ
american_scientific_journal-2675	81	24	(	(	PUNCT
american_scientific_journal-2675	81	25	2.9	2.9	NUM
american_scientific_journal-2675	81	26	)	)	PUNCT
american_scientific_journal-2675	81	27	.	.	PUNCT
american_scientific_journal-2675	82	1	the	the	DET
american_scientific_journal-2675	82	2	rational	rational	ADJ
american_scientific_journal-2675	82	3	mapping	mapping	NOUN
american_scientific_journal-2675	82	4	(	(	PUNCT
american_scientific_journal-2675	82	5	)	)	PUNCT
american_scientific_journal-2675	82	6	z	z	NOUN
american_scientific_journal-2675	82	7	cω	cω	NOUN
american_scientific_journal-2675	82	8	ζ=	ζ=	NOUN
american_scientific_journal-2675	82	9	maps	map	NOUN
american_scientific_journal-2675	82	10	the	the	DET
american_scientific_journal-2675	82	11	boundary	boundary	ADJ
american_scientific_journal-2675	82	12	c	c	PROPN
american_scientific_journal-2675	82	13	of	of	ADP
american_scientific_journal-2675	82	14	the	the	DET
american_scientific_journal-2675	82	15	given	give	VERB
american_scientific_journal-2675	82	16	region	region	NOUN
american_scientific_journal-2675	82	17	occupied	occupy	VERB
american_scientific_journal-2675	82	18	by	by	ADP
american_scientific_journal-2675	82	19	the	the	DET
american_scientific_journal-2675	82	20	middle	middle	ADJ
american_scientific_journal-2675	82	21	plane	plane	NOUN
american_scientific_journal-2675	82	22	of	of	ADP
american_scientific_journal-2675	82	23	the	the	DET
american_scientific_journal-2675	82	24	plate	plate	NOUN
american_scientific_journal-2675	82	25	in	in	ADP
american_scientific_journal-2675	82	26	the	the	DET
american_scientific_journal-2675	82	27	−z	−z	NOUN
american_scientific_journal-2675	82	28	plane	plane	NOUN
american_scientific_journal-2675	82	29	onto	onto	ADP
american_scientific_journal-2675	82	30	the	the	DET
american_scientific_journal-2675	82	31	unit	unit	NOUN
american_scientific_journal-2675	82	32	circle	circle	NOUN
american_scientific_journal-2675	82	33	γ	γ	PROPN
american_scientific_journal-2675	82	34	in	in	ADP
american_scientific_journal-2675	82	35	the	the	DET
american_scientific_journal-2675	82	36	ζ	ζ	NOUN
american_scientific_journal-2675	82	37	−	−	PROPN
american_scientific_journal-2675	82	38	plane	plane	NOUN
american_scientific_journal-2675	82	39	.	.	PUNCT
american_scientific_journal-2675	83	1	curvilinear	curvilinear	PROPN
american_scientific_journal-2675	83	2	coordinates	coordinate	NOUN
american_scientific_journal-2675	83	3	(	(	PUNCT
american_scientific_journal-2675	83	4	,	,	PUNCT
american_scientific_journal-2675	83	5	)	)	PUNCT
american_scientific_journal-2675	83	6	ρ	ρ	PROPN
american_scientific_journal-2675	83	7	θ	θ	PROPN
american_scientific_journal-2675	83	8	are	be	AUX
american_scientific_journal-2675	83	9	thus	thus	ADV
american_scientific_journal-2675	83	10	introduce	introduce	VERB
american_scientific_journal-2675	83	11	into	into	ADP
american_scientific_journal-2675	83	12	the	the	DET
american_scientific_journal-2675	83	13	−z	−z	NOUN
american_scientific_journal-2675	83	14	plane	plane	NOUN
american_scientific_journal-2675	83	15	which	which	PRON
american_scientific_journal-2675	83	16	are	be	AUX
american_scientific_journal-2675	83	17	the	the	DET
american_scientific_journal-2675	83	18	maps	map	NOUN
american_scientific_journal-2675	83	19	of	of	ADP
american_scientific_journal-2675	83	20	the	the	DET
american_scientific_journal-2675	83	21	polar	polar	ADJ
american_scientific_journal-2675	83	22	conditions	condition	NOUN
american_scientific_journal-2675	83	23	in	in	ADP
american_scientific_journal-2675	83	24	the	the	DET
american_scientific_journal-2675	83	25	−ζ	−ζ	PROPN
american_scientific_journal-2675	83	26	plane	plane	NOUN
american_scientific_journal-2675	83	27	as	as	SCONJ
american_scientific_journal-2675	83	28	given	give	VERB
american_scientific_journal-2675	83	29	by	by	ADP
american_scientific_journal-2675	83	30	ie	ie	ADV
american_scientific_journal-2675	83	31	θζ	θζ	ADP
american_scientific_journal-2675	83	32	ρ=	ρ=	ADJ
american_scientific_journal-2675	83	33	,	,	PUNCT
american_scientific_journal-2675	83	34	0	0	NUM
american_scientific_journal-2675	83	35	2θ	2θ	NUM
american_scientific_journal-2675	83	36	π≤	π≤	NOUN
american_scientific_journal-2675	83	37	≤	≤	NOUN
american_scientific_journal-2675	83	38	.	.	PUNCT
american_scientific_journal-2675	84	1	by	by	ADP
american_scientific_journal-2675	84	2	using	use	VERB
american_scientific_journal-2675	84	3	the	the	DET
american_scientific_journal-2675	84	4	transformation	transformation	NOUN
american_scientific_journal-2675	84	5	(	(	PUNCT
american_scientific_journal-2675	84	6	)	)	PUNCT
american_scientific_journal-2675	84	7	z	z	NOUN
american_scientific_journal-2675	84	8	cω	cω	NOUN
american_scientific_journal-2675	84	9	ζ=	ζ=	NOUN
american_scientific_journal-2675	84	10	,	,	PUNCT
american_scientific_journal-2675	84	11	eq	eq	NOUN
american_scientific_journal-2675	84	12	.	.	PUNCT
american_scientific_journal-2675	85	1	(	(	PUNCT
american_scientific_journal-2675	85	2	1.1	1.1	NUM
american_scientific_journal-2675	85	3	)	)	PUNCT
american_scientific_journal-2675	85	4	reduce	reduce	VERB
american_scientific_journal-2675	85	5	to	to	ADP
american_scientific_journal-2675	85	6	,	,	PUNCT
american_scientific_journal-2675	85	7	1	1	NUM
american_scientific_journal-2675	85	8	1	1	NUM
american_scientific_journal-2675	85	9	1	1	NUM
american_scientific_journal-2675	85	10	(	(	PUNCT
american_scientific_journal-2675	85	11	)	)	PUNCT
american_scientific_journal-2675	85	12	(	(	PUNCT
american_scientific_journal-2675	85	13	(	(	PUNCT
american_scientific_journal-2675	85	14	)	)	PUNCT
american_scientific_journal-2675	85	15	)	)	PUNCT
american_scientific_journal-2675	86	1	(	(	PUNCT
american_scientific_journal-2675	86	2	(	(	PUNCT
american_scientific_journal-2675	86	3	)	)	PUNCT
american_scientific_journal-2675	86	4	)	)	PUNCT
american_scientific_journal-2675	87	1	(	(	PUNCT
american_scientific_journal-2675	87	2	(	(	PUNCT
american_scientific_journal-2675	87	3	)	)	PUNCT
american_scientific_journal-2675	87	4	)	)	PUNCT
american_scientific_journal-2675	88	1	(	(	PUNCT
american_scientific_journal-2675	88	2	(	(	PUNCT
american_scientific_journal-2675	88	3	)	)	PUNCT
american_scientific_journal-2675	88	4	)	)	PUNCT
american_scientific_journal-2675	88	5	(	(	PUNCT
american_scientific_journal-2675	88	6	)	)	PUNCT
american_scientific_journal-2675	89	1	k	k	PROPN
american_scientific_journal-2675	90	1	c	c	NOUN
american_scientific_journal-2675	90	2	c	c	NOUN
american_scientific_journal-2675	90	3	c	c	NOUN
american_scientific_journal-2675	90	4	f	f	X
american_scientific_journal-2675	90	5	cω	cω	PROPN
american_scientific_journal-2675	90	6	ζϕ	ζϕ	PROPN
american_scientific_journal-2675	90	7	ω	ω	PROPN
american_scientific_journal-2675	90	8	ζ	ζ	PROPN
american_scientific_journal-2675	90	9	ϕ	ϕ	PROPN
american_scientific_journal-2675	90	10	ω	ω	NUM
american_scientific_journal-2675	90	11	ζ	ζ	PROPN
american_scientific_journal-2675	90	12	ψ	ψ	X
american_scientific_journal-2675	90	13	ω	ω	NUM
american_scientific_journal-2675	90	14	ζ	ζ	PROPN
american_scientific_journal-2675	90	15	ω	ω	NUM
american_scientific_journal-2675	90	16	ζ	ζ	PROPN
american_scientific_journal-2675	90	17	ω	ω	NUM
american_scientific_journal-2675	90	18	ζ	ζ	NOUN
american_scientific_journal-2675	90	19	−	−	NOUN
american_scientific_journal-2675	90	20	−	−	NOUN
american_scientific_journal-2675	90	21	=	=	SYM
american_scientific_journal-2675	91	1	′	′	NUM
american_scientific_journal-2675	91	2	(	(	PUNCT
american_scientific_journal-2675	91	3	2.16	2.16	NUM
american_scientific_journal-2675	91	4	)	)	PUNCT
american_scientific_journal-2675	91	5	the	the	DET
american_scientific_journal-2675	91	6	last	last	ADJ
american_scientific_journal-2675	91	7	formulas	formula	NOUN
american_scientific_journal-2675	91	8	represent	represent	VERB
american_scientific_journal-2675	91	9	the	the	DET
american_scientific_journal-2675	91	10	first	first	ADJ
american_scientific_journal-2675	91	11	and	and	CCONJ
american_scientific_journal-2675	91	12	second	second	ADJ
american_scientific_journal-2675	91	13	bvps	bvps	NOUN
american_scientific_journal-2675	91	14	in	in	ADP
american_scientific_journal-2675	91	15	ζ	ζ	NOUN
american_scientific_journal-2675	91	16	−	−	PROPN
american_scientific_journal-2675	91	17	plane	plane	NOUN
american_scientific_journal-2675	91	18	.	.	PUNCT
american_scientific_journal-2675	92	1	in	in	ADP
american_scientific_journal-2675	92	2	this	this	DET
american_scientific_journal-2675	92	3	study	study	NOUN
american_scientific_journal-2675	92	4	,	,	PUNCT
american_scientific_journal-2675	92	5	we	we	PRON
american_scientific_journal-2675	92	6	use	use	VERB
american_scientific_journal-2675	92	7	the	the	DET
american_scientific_journal-2675	92	8	rational	rational	ADJ
american_scientific_journal-2675	92	9	mapping	mapping	NOUN
american_scientific_journal-2675	92	10	(	(	PUNCT
american_scientific_journal-2675	92	11	2.1	2.1	NUM
american_scientific_journal-2675	92	12	)	)	PUNCT
american_scientific_journal-2675	92	13	to	to	PART
american_scientific_journal-2675	92	14	map	map	VERB
american_scientific_journal-2675	92	15	the	the	DET
american_scientific_journal-2675	92	16	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	92	17	hole	hole	NOUN
american_scientific_journal-2675	92	18	c	c	PROPN
american_scientific_journal-2675	92	19	of	of	ADP
american_scientific_journal-2675	92	20	the	the	DET
american_scientific_journal-2675	92	21	infinite	infinite	ADJ
american_scientific_journal-2675	92	22	plate	plate	NOUN
american_scientific_journal-2675	92	23	outside	outside	ADP
american_scientific_journal-2675	92	24	a	a	DET
american_scientific_journal-2675	92	25	unit	unit	NOUN
american_scientific_journal-2675	92	26	circleγ	circleγ	NOUN
american_scientific_journal-2675	92	27	.	.	PUNCT
american_scientific_journal-2675	93	1	then	then	ADV
american_scientific_journal-2675	93	2	,	,	PUNCT
american_scientific_journal-2675	93	3	we	we	PRON
american_scientific_journal-2675	93	4	use	use	VERB
american_scientific_journal-2675	93	5	the	the	DET
american_scientific_journal-2675	93	6	properties	property	NOUN
american_scientific_journal-2675	93	7	of	of	ADP
american_scientific_journal-2675	93	8	cauchy	cauchy	PROPN
american_scientific_journal-2675	93	9	integral	integral	ADJ
american_scientific_journal-2675	93	10	to	to	PART
american_scientific_journal-2675	93	11	obtain	obtain	VERB
american_scientific_journal-2675	93	12	the	the	DET
american_scientific_journal-2675	93	13	two	two	NUM
american_scientific_journal-2675	93	14	gfs	gfs	NOUN
american_scientific_journal-2675	93	15	.	.	PUNCT
american_scientific_journal-2675	94	1	after	after	ADP
american_scientific_journal-2675	94	2	that	that	PRON
american_scientific_journal-2675	94	3	,	,	PUNCT
american_scientific_journal-2675	94	4	we	we	PRON
american_scientific_journal-2675	94	5	can	can	AUX
american_scientific_journal-2675	94	6	determine	determine	VERB
american_scientific_journal-2675	94	7	the	the	DET
american_scientific_journal-2675	94	8	components	component	NOUN
american_scientific_journal-2675	94	9	of	of	ADP
american_scientific_journal-2675	94	10	stresses	stress	NOUN
american_scientific_journal-2675	94	11	.	.	PUNCT
american_scientific_journal-2675	95	1	many	many	ADJ
american_scientific_journal-2675	95	2	applications	application	NOUN
american_scientific_journal-2675	95	3	and	and	CCONJ
american_scientific_journal-2675	95	4	special	special	ADJ
american_scientific_journal-2675	95	5	cases	case	NOUN
american_scientific_journal-2675	95	6	are	be	AUX
american_scientific_journal-2675	95	7	derived	derive	VERB
american_scientific_journal-2675	95	8	from	from	ADP
american_scientific_journal-2675	95	9	the	the	DET
american_scientific_journal-2675	95	10	work	work	NOUN
american_scientific_journal-2675	95	11	.	.	PUNCT
american_scientific_journal-2675	96	1	3	3	X
american_scientific_journal-2675	96	2	.	.	X
american_scientific_journal-2675	96	3	the	the	DET
american_scientific_journal-2675	96	4	rational	rational	ADJ
american_scientific_journal-2675	96	5	mapping	mapping	NOUN
american_scientific_journal-2675	96	6	the	the	DET
american_scientific_journal-2675	96	7	mapping	mapping	NOUN
american_scientific_journal-2675	96	8	function	function	NOUN
american_scientific_journal-2675	96	9	(	(	PUNCT
american_scientific_journal-2675	96	10	2.1	2.1	NUM
american_scientific_journal-2675	96	11	)	)	PUNCT
american_scientific_journal-2675	96	12	maps	map	VERB
american_scientific_journal-2675	96	13	the	the	DET
american_scientific_journal-2675	96	14	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	96	15	hole	hole	NOUN
american_scientific_journal-2675	96	16	c	c	X
american_scientific_journal-2675	96	17	in	in	ADP
american_scientific_journal-2675	96	18	−z	−z	NOUN
american_scientific_journal-2675	96	19	plane	plane	NOUN
american_scientific_journal-2675	96	20	onto	onto	ADP
american_scientific_journal-2675	96	21	the	the	DET
american_scientific_journal-2675	96	22	domain	domain	NOUN
american_scientific_journal-2675	96	23	of	of	ADP
american_scientific_journal-2675	96	24	outside	outside	ADJ
american_scientific_journal-2675	96	25	unit	unit	NOUN
american_scientific_journal-2675	96	26	circle	circle	NOUN
american_scientific_journal-2675	96	27	in	in	ADP
american_scientific_journal-2675	96	28	ζ	ζ	NOUN
american_scientific_journal-2675	96	29	−	−	PROPN
american_scientific_journal-2675	96	30	plane	plane	NOUN
american_scientific_journal-2675	96	31	under	under	ADP
american_scientific_journal-2675	96	32	the	the	DET
american_scientific_journal-2675	96	33	condition	condition	NOUN
american_scientific_journal-2675	96	34	(	(	PUNCT
american_scientific_journal-2675	96	35	)	)	PUNCT
american_scientific_journal-2675	96	36	ω	ω	NOUN
american_scientific_journal-2675	96	37	ζ′	ζ′	ADV
american_scientific_journal-2675	96	38	does	do	AUX
american_scientific_journal-2675	96	39	not	not	PART
american_scientific_journal-2675	96	40	vanish	vanish	VERB
american_scientific_journal-2675	96	41	or	or	CCONJ
american_scientific_journal-2675	96	42	become	become	VERB
american_scientific_journal-2675	96	43	infinite	infinite	ADJ
american_scientific_journal-2675	96	44	outside	outside	ADP
american_scientific_journal-2675	96	45	the	the	DET
american_scientific_journal-2675	96	46	unit	unit	NOUN
american_scientific_journal-2675	96	47	circle	circle	NOUN
american_scientific_journal-2675	96	48	γ	γ	PROPN
american_scientific_journal-2675	96	49	.	.	PUNCT
american_scientific_journal-2675	97	1	the	the	DET
american_scientific_journal-2675	97	2	following	follow	VERB
american_scientific_journal-2675	97	3	graphs	graph	NOUN
american_scientific_journal-2675	97	4	give	give	VERB
american_scientific_journal-2675	97	5	the	the	DET
american_scientific_journal-2675	97	6	different	different	ADJ
american_scientific_journal-2675	97	7	shapes	shape	NOUN
american_scientific_journal-2675	97	8	of	of	ADP
american_scientific_journal-2675	97	9	the	the	DET
american_scientific_journal-2675	97	10	rational	rational	ADJ
american_scientific_journal-2675	97	11	mapping	mapping	NOUN
american_scientific_journal-2675	97	12	(	(	PUNCT
american_scientific_journal-2675	97	13	2.1	2.1	NUM
american_scientific_journal-2675	97	14	)	)	PUNCT
american_scientific_journal-2675	97	15	for	for	ADP
american_scientific_journal-2675	97	16	some	some	DET
american_scientific_journal-2675	97	17	different	different	ADJ
american_scientific_journal-2675	97	18	values	value	NOUN
american_scientific_journal-2675	97	19	of	of	ADP
american_scientific_journal-2675	97	20	n	n	CCONJ
american_scientific_journal-2675	97	21	's	's	PART
american_scientific_journal-2675	97	22	and	and	CCONJ
american_scientific_journal-2675	97	23	m	m	NOUN
american_scientific_journal-2675	97	24	's	's	PART
american_scientific_journal-2675	97	25	.	.	PUNCT
american_scientific_journal-2675	98	1	figure	figure	NOUN
american_scientific_journal-2675	98	2	1	1	NUM
american_scientific_journal-2675	98	3	:	:	SYM
american_scientific_journal-2675	98	4	1	1	NUM
american_scientific_journal-2675	98	5	2	2	NUM
american_scientific_journal-2675	98	6	1	1	NUM
american_scientific_journal-2675	98	7	2	2	NUM
american_scientific_journal-2675	98	8	(	(	PUNCT
american_scientific_journal-2675	98	9	0	0	NUM
american_scientific_journal-2675	98	10	,	,	PUNCT
american_scientific_journal-2675	98	11	0.987	0.987	NUM
american_scientific_journal-2675	98	12	,	,	PUNCT
american_scientific_journal-2675	98	13	0)n	0)n	NOUN
american_scientific_journal-2675	99	1	n	n	ADV
american_scientific_journal-2675	99	2	m	m	AUX
american_scientific_journal-2675	99	3	m=	m=	VERB
american_scientific_journal-2675	99	4	=	=	PUNCT
american_scientific_journal-2675	100	1	=	=	SYM
american_scientific_journal-2675	100	2	=	=	PRON
american_scientific_journal-2675	100	3	figure	figure	NOUN
american_scientific_journal-2675	100	4	2	2	NUM
american_scientific_journal-2675	100	5	:	:	SYM
american_scientific_journal-2675	100	6	1	1	NUM
american_scientific_journal-2675	100	7	2	2	NUM
american_scientific_journal-2675	100	8	1	1	NUM
american_scientific_journal-2675	100	9	2	2	NUM
american_scientific_journal-2675	100	10	(	(	PUNCT
american_scientific_journal-2675	100	11	0.5	0.5	NUM
american_scientific_journal-2675	100	12	,	,	PUNCT
american_scientific_journal-2675	100	13	0)n	0)n	NOUN
american_scientific_journal-2675	100	14	n	n	ADV
american_scientific_journal-2675	100	15	m	m	VERB
american_scientific_journal-2675	100	16	m=	m=	VERB
american_scientific_journal-2675	100	17	=	=	PUNCT
american_scientific_journal-2675	101	1	=	=	SYM
american_scientific_journal-2675	101	2	=	=	SYM
american_scientific_journal-2675	101	3	214	214	NUM
american_scientific_journal-2675	101	4	-	-	SYM
american_scientific_journal-2675	101	5	201	201	NUM
american_scientific_journal-2675	101	6	,	,	PUNCT
american_scientific_journal-2675	101	7	no	no	DET
american_scientific_journal-2675	101	8	1	1	NUM
american_scientific_journal-2675	101	9	,	,	PUNCT
american_scientific_journal-2675	101	10	pp	pp	ADV
american_scientific_journal-2675	101	11	82	82	NUM
american_scientific_journal-2675	101	12	)	)	PUNCT
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american_scientific_journal-2675	101	14	2017	2017	NUM
american_scientific_journal-2675	101	15	(	(	PUNCT
american_scientific_journal-2675	101	16	)	)	PUNCT
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american_scientific_journal-2675	101	18	journal	journal	NOUN
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american_scientific_journal-2675	101	20	engineering	engineering	NOUN
american_scientific_journal-2675	101	21	,	,	PUNCT
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american_scientific_journal-2675	101	23	,	,	PUNCT
american_scientific_journal-2675	101	24	and	and	CCONJ
american_scientific_journal-2675	101	25	sciences	science	NOUN
american_scientific_journal-2675	101	26	(	(	PUNCT
american_scientific_journal-2675	101	27	asrjets	asrjet	NOUN
american_scientific_journal-2675	101	28	american	american	ADJ
american_scientific_journal-2675	101	29	scientific	scientific	ADJ
american_scientific_journal-2675	101	30	206	206	NUM
american_scientific_journal-2675	101	31	figure	figure	NOUN
american_scientific_journal-2675	101	32	3	3	NUM
american_scientific_journal-2675	101	33	:	:	PUNCT
american_scientific_journal-2675	101	34	(	(	PUNCT
american_scientific_journal-2675	101	35	1	1	NUM
american_scientific_journal-2675	101	36	2	2	NUM
american_scientific_journal-2675	101	37	1	1	NUM
american_scientific_journal-2675	101	38	20	20	NUM
american_scientific_journal-2675	101	39	,	,	PUNCT
american_scientific_journal-2675	101	40	0.5	0.5	NUM
american_scientific_journal-2675	101	41	,	,	PUNCT
american_scientific_journal-2675	101	42	0	0	NUM
american_scientific_journal-2675	101	43	,	,	PUNCT
american_scientific_journal-2675	101	44	0.55n	0.55n	NOUN
american_scientific_journal-2675	101	45	n	n	VERB
american_scientific_journal-2675	101	46	m	m	VERB
american_scientific_journal-2675	101	47	m=	m=	VERB
american_scientific_journal-2675	101	48	=	=	PUNCT
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american_scientific_journal-2675	101	50	=	=	SYM
american_scientific_journal-2675	101	51	)	)	PUNCT
american_scientific_journal-2675	101	52	figure	figure	NOUN
american_scientific_journal-2675	101	53	4	4	NUM
american_scientific_journal-2675	101	54	:	:	PUNCT
american_scientific_journal-2675	101	55	(	(	PUNCT
american_scientific_journal-2675	101	56	1	1	NUM
american_scientific_journal-2675	101	57	2	2	NUM
american_scientific_journal-2675	101	58	1	1	NUM
american_scientific_journal-2675	101	59	20.9	20.9	NUM
american_scientific_journal-2675	101	60	,	,	PUNCT
american_scientific_journal-2675	101	61	0.4	0.4	NUM
american_scientific_journal-2675	101	62	,	,	PUNCT
american_scientific_journal-2675	101	63	0.99	0.99	NUM
american_scientific_journal-2675	101	64	,	,	PUNCT
american_scientific_journal-2675	101	65	0.05n	0.05n	NUM
american_scientific_journal-2675	101	66	n	n	PART
american_scientific_journal-2675	101	67	m	m	VERB
american_scientific_journal-2675	101	68	m=	m=	VERB
american_scientific_journal-2675	101	69	=	=	PUNCT
american_scientific_journal-2675	102	1	=	=	PUNCT
american_scientific_journal-2675	102	2	−	−	PROPN
american_scientific_journal-2675	103	1	=	=	SYM
american_scientific_journal-2675	104	1	−	−	PROPN
american_scientific_journal-2675	104	2	)	)	PUNCT
american_scientific_journal-2675	105	1	4	4	X
american_scientific_journal-2675	105	2	.	.	X
american_scientific_journal-2675	105	3	gaursat	gaursat	NOUN
american_scientific_journal-2675	105	4	functions	function	NOUN
american_scientific_journal-2675	105	5	to	to	PART
american_scientific_journal-2675	105	6	obtain	obtain	VERB
american_scientific_journal-2675	105	7	the	the	DET
american_scientific_journal-2675	105	8	two	two	NUM
american_scientific_journal-2675	105	9	complex	complex	ADJ
american_scientific_journal-2675	105	10	potential	potential	ADJ
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american_scientific_journal-2675	105	12	,	,	PUNCT
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american_scientific_journal-2675	105	14	by	by	ADP
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american_scientific_journal-2675	105	17	conformal	conformal	ADJ
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american_scientific_journal-2675	105	19	(	(	PUNCT
american_scientific_journal-2675	105	20	2.1	2.1	NUM
american_scientific_journal-2675	105	21	)	)	PUNCT
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american_scientific_journal-2675	105	23	the	the	DET
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american_scientific_journal-2675	105	26	(	(	PUNCT
american_scientific_journal-2675	105	27	1.1	1.1	NUM
american_scientific_journal-2675	105	28	)	)	PUNCT
american_scientific_journal-2675	105	29	,	,	PUNCT
american_scientific_journal-2675	105	30	we	we	PRON
american_scientific_journal-2675	105	31	write	write	VERB
american_scientific_journal-2675	105	32	the	the	DET
american_scientific_journal-2675	105	33	expression	expression	NOUN
american_scientific_journal-2675	105	34	)	)	PUNCT
american_scientific_journal-2675	105	35	(	(	PUNCT
american_scientific_journal-2675	105	36	)	)	PUNCT
american_scientific_journal-2675	105	37	(	(	PUNCT
american_scientific_journal-2675	105	38	1−′	1−′	NUM
american_scientific_journal-2675	105	39	ζω	ζω	NOUN
american_scientific_journal-2675	105	40	ζω	ζω	NOUN
american_scientific_journal-2675	105	41	in	in	ADP
american_scientific_journal-2675	105	42	the	the	DET
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american_scientific_journal-2675	105	44	,	,	PUNCT
american_scientific_journal-2675	105	45	1	1	NUM
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american_scientific_journal-2675	105	50	)	)	PUNCT
american_scientific_journal-2675	105	51	(	(	PUNCT
american_scientific_journal-2675	105	52	)	)	PUNCT
american_scientific_journal-2675	105	53	(	(	PUNCT
american_scientific_journal-2675	105	54	)	)	PUNCT
american_scientific_journal-2675	105	55	ω	ω	NUM
american_scientific_journal-2675	105	56	ζ	ζ	NOUN
american_scientific_journal-2675	105	57	α	α	NOUN
american_scientific_journal-2675	105	58	ζ	ζ	NOUN
american_scientific_journal-2675	105	59	β	β	X
american_scientific_journal-2675	105	60	ζ	ζ	PROPN
american_scientific_journal-2675	105	61	ω	ω	NUM
american_scientific_journal-2675	105	62	ζ	ζ	NOUN
american_scientific_journal-2675	105	63	−	−	NOUN
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american_scientific_journal-2675	106	1	=	=	SYM
american_scientific_journal-2675	107	1	+	+	NUM
american_scientific_journal-2675	107	2	′	′	NUM
american_scientific_journal-2675	107	3	(	(	PUNCT
american_scientific_journal-2675	107	4	4.1	4.1	NUM
american_scientific_journal-2675	107	5	)	)	PUNCT
american_scientific_journal-2675	107	6	where	where	SCONJ
american_scientific_journal-2675	107	7	,	,	PUNCT
american_scientific_journal-2675	107	8	1	1	NUM
american_scientific_journal-2675	107	9	2	2	NUM
american_scientific_journal-2675	107	10	1	1	NUM
american_scientific_journal-2675	107	11	2	2	NUM
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american_scientific_journal-2675	107	13	)	)	PUNCT
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american_scientific_journal-2675	107	22	=	=	SYM
american_scientific_journal-2675	107	23	+	+	NUM
american_scientific_journal-2675	107	24	−	−	PROPN
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american_scientific_journal-2675	107	26	,	,	PUNCT
american_scientific_journal-2675	107	27	(	(	PUNCT
american_scientific_journal-2675	107	28	4	4	NUM
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american_scientific_journal-2675	107	30	2	2	NUM
american_scientific_journal-2675	107	31	)	)	PUNCT
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american_scientific_journal-2675	107	33	,	,	PUNCT
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american_scientific_journal-2675	107	35	2	2	NUM
american_scientific_journal-2675	107	36	2	2	NUM
american_scientific_journal-2675	107	37	2	2	NUM
american_scientific_journal-2675	107	38	1	1	NUM
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american_scientific_journal-2675	107	46	1	1	NUM
american_scientific_journal-2675	107	47	2	2	NUM
american_scientific_journal-2675	107	48	1	1	NUM
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american_scientific_journal-2675	107	50	2	2	NUM
american_scientific_journal-2675	107	51	2	2	NUM
american_scientific_journal-2675	107	52	1	1	NUM
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american_scientific_journal-2675	107	59	(	(	PUNCT
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american_scientific_journal-2675	107	62	1	1	X
american_scientific_journal-2675	107	63	)	)	PUNCT
american_scientific_journal-2675	107	64	(	(	PUNCT
american_scientific_journal-2675	107	65	1	1	X
american_scientific_journal-2675	107	66	)	)	PUNCT
american_scientific_journal-2675	107	67	(	(	PUNCT
american_scientific_journal-2675	107	68	)	)	PUNCT
american_scientific_journal-2675	108	1	[	[	X
american_scientific_journal-2675	108	2	1	1	NUM
american_scientific_journal-2675	108	3	2	2	NUM
american_scientific_journal-2675	108	4	(	(	PUNCT
american_scientific_journal-2675	108	5	)	)	PUNCT
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american_scientific_journal-2675	108	7	3	3	X
american_scientific_journal-2675	108	8	)	)	PUNCT
american_scientific_journal-2675	108	9	2	2	NUM
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american_scientific_journal-2675	110	4	j	j	PROPN
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american_scientific_journal-2675	110	35	m	m	VERB
american_scientific_journal-2675	110	36	n±	n±	NOUN
american_scientific_journal-2675	110	37	+	+	PUNCT
american_scientific_journal-2675	111	1	+	+	CCONJ
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american_scientific_journal-2675	111	3	−	−	PROPN
american_scientific_journal-2675	111	4	=	=	PUNCT
american_scientific_journal-2675	111	5	−	−	PROPN
american_scientific_journal-2675	111	6	−	−	PROPN
american_scientific_journal-2675	112	1	+	+	CCONJ
american_scientific_journal-2675	112	2	−	−	PROPN
american_scientific_journal-2675	112	3	−	−	NOUN
american_scientific_journal-2675	112	4	−	−	PROPN
american_scientific_journal-2675	113	1	+	+	CCONJ
american_scientific_journal-2675	113	2	+	+	PUNCT
american_scientific_journal-2675	113	3	+	+	CCONJ
american_scientific_journal-2675	113	4	(	(	PUNCT
american_scientific_journal-2675	113	5	(	(	PUNCT
american_scientific_journal-2675	113	6	0,1)j	0,1)j	NOUN
american_scientific_journal-2675	113	7	=	=	X
american_scientific_journal-2675	113	8	(	(	PUNCT
american_scientific_journal-2675	113	9	4.3	4.3	NUM
american_scientific_journal-2675	113	10	)	)	PUNCT
american_scientific_journal-2675	113	11	1	1	NUM
american_scientific_journal-2675	113	12	(	(	PUNCT
american_scientific_journal-2675	113	13	)	)	PUNCT
american_scientific_journal-2675	113	14	β	β	NOUN
american_scientific_journal-2675	113	15	ζ	ζ	NOUN
american_scientific_journal-2675	113	16	−	−	PROPN
american_scientific_journal-2675	113	17	is	be	AUX
american_scientific_journal-2675	113	18	a	a	DET
american_scientific_journal-2675	113	19	regular	regular	ADJ
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american_scientific_journal-2675	113	21	for	for	ADP
american_scientific_journal-2675	113	22	1ζ	1ζ	NUM
american_scientific_journal-2675	113	23	>	>	PUNCT
american_scientific_journal-2675	113	24	.	.	PUNCT
american_scientific_journal-2675	114	1	the	the	DET
american_scientific_journal-2675	114	2	term	term	NOUN
american_scientific_journal-2675	114	3	)	)	PUNCT
american_scientific_journal-2675	114	4	(	(	PUNCT
american_scientific_journal-2675	114	5	)	)	PUNCT
american_scientific_journal-2675	114	6	(	(	PUNCT
american_scientific_journal-2675	114	7	1−′	1−′	NUM
american_scientific_journal-2675	114	8	ζω	ζω	NOUN
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american_scientific_journal-2675	114	12	singularities	singularity	NOUN
american_scientific_journal-2675	114	13	at	at	ADP
american_scientific_journal-2675	114	14	1n	1n	NUM
american_scientific_journal-2675	114	15	=	=	SYM
american_scientific_journal-2675	114	16	ζ	ζ	NOUN
american_scientific_journal-2675	114	17	and	and	CCONJ
american_scientific_journal-2675	114	18	2n	2n	NUM
american_scientific_journal-2675	114	19	=	=	SYM
american_scientific_journal-2675	114	20	ζ	ζ	NOUN
american_scientific_journal-2675	114	21	.	.	PUNCT
american_scientific_journal-2675	115	1	using	use	VERB
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american_scientific_journal-2675	115	3	(	(	PUNCT
american_scientific_journal-2675	115	4	4.1	4.1	NUM
american_scientific_journal-2675	115	5	)	)	PUNCT
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american_scientific_journal-2675	115	9	)	)	PUNCT
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american_scientific_journal-2675	115	13	2.16	2.16	NUM
american_scientific_journal-2675	115	14	)	)	PUNCT
american_scientific_journal-2675	115	15	,	,	PUNCT
american_scientific_journal-2675	115	16	and	and	CCONJ
american_scientific_journal-2675	115	17	integrating	integrate	VERB
american_scientific_journal-2675	115	18	both	both	DET
american_scientific_journal-2675	115	19	sides	side	NOUN
american_scientific_journal-2675	115	20	,	,	PUNCT
american_scientific_journal-2675	115	21	we	we	PRON
american_scientific_journal-2675	115	22	get	get	VERB
american_scientific_journal-2675	115	23	2	2	NUM
american_scientific_journal-2675	115	24	1	1	NUM
american_scientific_journal-2675	115	25	1	1	NUM
american_scientific_journal-2675	115	26	(	(	PUNCT
american_scientific_journal-2675	115	27	)	)	PUNCT
american_scientific_journal-2675	115	28	(	(	PUNCT
american_scientific_journal-2675	115	29	)	)	PUNCT
american_scientific_journal-2675	115	30	[	[	PUNCT
american_scientific_journal-2675	115	31	(	(	PUNCT
american_scientific_journal-2675	115	32	)	)	PUNCT
american_scientific_journal-2675	115	33	]	]	X
american_scientific_journal-2675	116	1	j	j	PROPN
american_scientific_journal-2675	117	1	j	j	PROPN
american_scientific_journal-2675	117	2	j	j	PROPN
american_scientific_journal-2675	118	1	jj	jj	PROPN
american_scientific_journal-2675	118	2	h	h	PROPN
american_scientific_journal-2675	119	1	k	k	PROPN
american_scientific_journal-2675	119	2	a	a	DET
american_scientific_journal-2675	119	3	c	c	PROPN
american_scientific_journal-2675	119	4	n	n	CCONJ
american_scientific_journal-2675	119	5	n	n	PROPN
american_scientific_journal-2675	119	6	c	c	PROPN
american_scientific_journal-2675	119	7	b	b	PROPN
american_scientific_journal-2675	119	8	n	n	CCONJ
american_scientific_journal-2675	120	1	ϕ	ϕ	PROPN
american_scientific_journal-2675	120	2	ζ	ζ	NOUN
american_scientific_journal-2675	120	3	ζ	ζ	NOUN
american_scientific_journal-2675	120	4	ζ	ζ	NOUN
american_scientific_journal-2675	120	5	ζ	ζ	NOUN
american_scientific_journal-2675	120	6	∗	∗	NOUN
american_scientific_journal-2675	120	7	−	−	NOUN
american_scientific_journal-2675	120	8	=	=	SYM
american_scientific_journal-2675	121	1	−	−	PROPN
american_scientific_journal-2675	121	2	=	=	SYM
american_scientific_journal-2675	122	1	−	−	PROPN
american_scientific_journal-2675	122	2	γ	γ	X
american_scientific_journal-2675	122	3	+	+	PROPN
american_scientific_journal-2675	122	4	+	+	CCONJ
american_scientific_journal-2675	122	5	−∑	−∑	PROPN
american_scientific_journal-2675	122	6	(	(	PUNCT
american_scientific_journal-2675	122	7	4.4	4.4	NUM
american_scientific_journal-2675	122	8	)	)	PUNCT
american_scientific_journal-2675	122	9	214	214	NUM
american_scientific_journal-2675	122	10	-	-	SYM
american_scientific_journal-2675	122	11	201	201	NUM
american_scientific_journal-2675	122	12	,	,	PUNCT
american_scientific_journal-2675	122	13	no	no	DET
american_scientific_journal-2675	122	14	1	1	NUM
american_scientific_journal-2675	122	15	,	,	PUNCT
american_scientific_journal-2675	122	16	pp	pp	ADV
american_scientific_journal-2675	122	17	82	82	NUM
american_scientific_journal-2675	122	18	)	)	PUNCT
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american_scientific_journal-2675	122	20	2017	2017	NUM
american_scientific_journal-2675	122	21	(	(	PUNCT
american_scientific_journal-2675	122	22	)	)	PUNCT
american_scientific_journal-2675	122	23	research	research	NOUN
american_scientific_journal-2675	122	24	journal	journal	NOUN
american_scientific_journal-2675	122	25	for	for	ADP
american_scientific_journal-2675	122	26	engineering	engineering	NOUN
american_scientific_journal-2675	122	27	,	,	PUNCT
american_scientific_journal-2675	122	28	technology	technology	NOUN
american_scientific_journal-2675	122	29	,	,	PUNCT
american_scientific_journal-2675	122	30	and	and	CCONJ
american_scientific_journal-2675	122	31	sciences	science	NOUN
american_scientific_journal-2675	122	32	(	(	PUNCT
american_scientific_journal-2675	122	33	asrjets	asrjet	NOUN
american_scientific_journal-2675	122	34	american	american	PROPN
american_scientific_journal-2675	122	35	scientific	scientific	ADJ
american_scientific_journal-2675	122	36	207	207	NUM
american_scientific_journal-2675	122	37	where	where	SCONJ
american_scientific_journal-2675	122	38	,	,	PUNCT
american_scientific_journal-2675	122	39	1	1	NUM
american_scientific_journal-2675	122	40	(	(	PUNCT
american_scientific_journal-2675	122	41	)	)	PUNCT
american_scientific_journal-2675	122	42	(	(	PUNCT
american_scientific_journal-2675	122	43	)	)	PUNCT
american_scientific_journal-2675	122	44	;	;	PUNCT
american_scientific_journal-2675	122	45	(	(	PUNCT
american_scientific_journal-2675	122	46	)	)	PUNCT
american_scientific_journal-2675	122	47	;	;	PUNCT
american_scientific_journal-2675	122	48	(	(	PUNCT
american_scientific_journal-2675	122	49	)	)	PUNCT
american_scientific_journal-2675	122	50	(	(	PUNCT
american_scientific_journal-2675	122	51	(	(	PUNCT
american_scientific_journal-2675	122	52	)	)	PUNCT
american_scientific_journal-2675	122	53	)	)	PUNCT
american_scientific_journal-2675	122	54	(	(	PUNCT
american_scientific_journal-2675	122	55	)	)	PUNCT
american_scientific_journal-2675	122	56	2	2	NUM
american_scientific_journal-2675	122	57	(	(	PUNCT
american_scientific_journal-2675	122	58	)	)	PUNCT
american_scientific_journal-2675	122	59	2	2	NUM
american_scientific_journal-2675	122	60	(	(	PUNCT
american_scientific_journal-2675	122	61	1	1	NUM
american_scientific_journal-2675	122	62	)	)	PUNCT
american_scientific_journal-2675	122	63	x	x	PUNCT
american_scientific_journal-2675	123	1	ys	ys	VERB
american_scientific_journal-2675	123	2	isfa	isfa	PROPN
american_scientific_journal-2675	123	3	d	d	PROPN
american_scientific_journal-2675	123	4	n	n	PROPN
american_scientific_journal-2675	123	5	c	c	NOUN
american_scientific_journal-2675	123	6	f	f	NOUN
american_scientific_journal-2675	124	1	f	f	PROPN
american_scientific_journal-2675	124	2	c	c	PROPN
american_scientific_journal-2675	125	1	f	f	PROPN
american_scientific_journal-2675	125	2	t	t	NOUN
american_scientific_journal-2675	126	1	i	i	PRON
american_scientific_journal-2675	126	2	k	k	PROPN
american_scientific_journal-2675	126	3	γ	γ	X
american_scientific_journal-2675	126	4	σζ	σζ	ADP
american_scientific_journal-2675	126	5	σ	σ	PROPN
american_scientific_journal-2675	126	6	ζ	ζ	PROPN
american_scientific_journal-2675	126	7	ζ	ζ	PROPN
american_scientific_journal-2675	126	8	ζ	ζ	NOUN
american_scientific_journal-2675	126	9	ω	ω	NUM
american_scientific_journal-2675	126	10	ζ	ζ	PROPN
american_scientific_journal-2675	126	11	π	π	X
american_scientific_journal-2675	126	12	σ	σ	NOUN
american_scientific_journal-2675	126	13	ζ	ζ	PROPN
american_scientific_journal-2675	126	14	π	π	NOUN
american_scientific_journal-2675	126	15	−	−	NOUN
american_scientific_journal-2675	127	1	=	=	SYM
american_scientific_journal-2675	127	2	=	=	PUNCT
american_scientific_journal-2675	127	3	γ	γ	X
american_scientific_journal-2675	127	4	−	−	NOUN
american_scientific_journal-2675	127	5	=	=	SYM
american_scientific_journal-2675	127	6	=	=	PUNCT
american_scientific_journal-2675	128	1	−	−	PROPN
american_scientific_journal-2675	128	2	+	+	NUM
american_scientific_journal-2675	128	3	∫	∫	PROPN
american_scientific_journal-2675	128	4	(	(	PUNCT
american_scientific_journal-2675	128	5	4.5	4.5	NUM
american_scientific_journal-2675	128	6	)	)	PUNCT
american_scientific_journal-2675	128	7	the	the	DET
american_scientific_journal-2675	128	8	function	function	NOUN
american_scientific_journal-2675	128	9	(	(	PUNCT
american_scientific_journal-2675	128	10	)	)	PUNCT
american_scientific_journal-2675	128	11	f	f	PROPN
american_scientific_journal-2675	128	12	σ	σ	NOUN
american_scientific_journal-2675	128	13	with	with	ADP
american_scientific_journal-2675	128	14	its	its	PRON
american_scientific_journal-2675	128	15	derivatives	derivative	NOUN
american_scientific_journal-2675	128	16	must	must	AUX
american_scientific_journal-2675	128	17	satisfy	satisfy	VERB
american_scientific_journal-2675	128	18	holder	holder	NOUN
american_scientific_journal-2675	128	19	condition	condition	NOUN
american_scientific_journal-2675	128	20	.	.	PUNCT
american_scientific_journal-2675	129	1	the	the	DET
american_scientific_journal-2675	129	2	complex	complex	ADJ
american_scientific_journal-2675	129	3	constants	constant	NOUN
american_scientific_journal-2675	129	4	jb	jb	PROPN
american_scientific_journal-2675	129	5	can	can	AUX
american_scientific_journal-2675	129	6	be	be	AUX
american_scientific_journal-2675	129	7	determined	determine	VERB
american_scientific_journal-2675	129	8	in	in	ADP
american_scientific_journal-2675	129	9	the	the	DET
american_scientific_journal-2675	129	10	following	follow	VERB
american_scientific_journal-2675	129	11	form	form	NOUN
american_scientific_journal-2675	129	12	2	2	NUM
american_scientific_journal-2675	129	13	2	2	NUM
american_scientific_journal-2675	129	14	2	2	NUM
american_scientific_journal-2675	129	15	2	2	NUM
american_scientific_journal-2675	129	16	2	2	NUM
american_scientific_journal-2675	129	17	2	2	NUM
american_scientific_journal-2675	129	18	2	2	NUM
american_scientific_journal-2675	129	19	,	,	PUNCT
american_scientific_journal-2675	129	20	(	(	PUNCT
american_scientific_journal-2675	129	21	)	)	PUNCT
american_scientific_journal-2675	129	22	(	(	PUNCT
american_scientific_journal-2675	129	23	)	)	PUNCT
american_scientific_journal-2675	130	1	,	,	PUNCT
american_scientific_journal-2675	130	2	,	,	PUNCT
american_scientific_journal-2675	130	3	1	1	NUM
american_scientific_journal-2675	130	4	,	,	PUNCT
american_scientific_journal-2675	130	5	2	2	NUM
american_scientific_journal-2675	130	6	(	(	PUNCT
american_scientific_journal-2675	130	7	)	)	PUNCT
american_scientific_journal-2675	130	8	(	(	PUNCT
american_scientific_journal-2675	130	9	1	1	X
american_scientific_journal-2675	130	10	)	)	PUNCT
american_scientific_journal-2675	130	11	jj	jj	PROPN
american_scientific_journal-2675	130	12	j	j	PROPN
american_scientific_journal-2675	130	13	j	j	PROPN
american_scientific_journal-2675	131	1	j	j	PROPN
american_scientific_journal-2675	131	2	j	j	PROPN
american_scientific_journal-2675	131	3	j	j	PROPN
american_scientific_journal-2675	131	4	j	j	PROPN
american_scientific_journal-2675	131	5	j	j	PROPN
american_scientific_journal-2675	131	6	j	j	PROPN
american_scientific_journal-2675	131	7	j	j	PROPN
american_scientific_journal-2675	132	1	j	j	PROPN
american_scientific_journal-2675	132	2	j	j	PROPN
american_scientific_journal-2675	133	1	j	j	PROPN
american_scientific_journal-2675	133	2	j	j	PROPN
american_scientific_journal-2675	133	3	j	j	PROPN
american_scientific_journal-2675	133	4	ke	ke	PROPN
american_scientific_journal-2675	133	5	h	h	PROPN
american_scientific_journal-2675	134	1	d	d	PROPN
american_scientific_journal-2675	134	2	e	e	PROPN
american_scientific_journal-2675	134	3	n	n	PROPN
american_scientific_journal-2675	134	4	b	b	PROPN
american_scientific_journal-2675	134	5	e	e	PROPN
american_scientific_journal-2675	134	6	a	a	PRON
american_scientific_journal-2675	134	7	n	n	NOUN
american_scientific_journal-2675	134	8	c	c	NOUN
american_scientific_journal-2675	134	9	n	n	NOUN
american_scientific_journal-2675	134	10	h	h	NOUN
american_scientific_journal-2675	134	11	d	d	PROPN
american_scientific_journal-2675	134	12	n	n	PROPN
american_scientific_journal-2675	134	13	n	n	PROPN
american_scientific_journal-2675	134	14	d	d	X
american_scientific_journal-2675	134	15	j	j	PROPN
american_scientific_journal-2675	134	16	c	c	PROPN
american_scientific_journal-2675	134	17	k	k	PROPN
american_scientific_journal-2675	134	18	h	h	PROPN
american_scientific_journal-2675	134	19	d	d	PROPN
american_scientific_journal-2675	134	20	n	n	PRON
american_scientific_journal-2675	134	21	∗−	∗−	ADJ
american_scientific_journal-2675	134	22	′=	′=	NOUN
american_scientific_journal-2675	134	23	=	=	PUNCT
american_scientific_journal-2675	135	1	−	−	PROPN
american_scientific_journal-2675	135	2	−	−	NOUN
american_scientific_journal-2675	135	3	γ	γ	X
american_scientific_journal-2675	135	4	−	−	NOUN
american_scientific_journal-2675	135	5	=	=	SYM
american_scientific_journal-2675	135	6	=	=	PUNCT
american_scientific_journal-2675	135	7	−	−	PROPN
american_scientific_journal-2675	135	8	−	−	PROPN
american_scientific_journal-2675	135	9	(	(	PUNCT
american_scientific_journal-2675	135	10	4.6	4.6	NUM
american_scientific_journal-2675	135	11	)	)	PUNCT
american_scientific_journal-2675	135	12	using	use	VERB
american_scientific_journal-2675	135	13	the	the	DET
american_scientific_journal-2675	135	14	results	result	NOUN
american_scientific_journal-2675	135	15	of	of	ADP
american_scientific_journal-2675	135	16	(	(	PUNCT
american_scientific_journal-2675	135	17	4.5	4.5	NUM
american_scientific_journal-2675	135	18	)	)	PUNCT
american_scientific_journal-2675	135	19	and	and	CCONJ
american_scientific_journal-2675	135	20	(	(	PUNCT
american_scientific_journal-2675	135	21	4.6	4.6	NUM
american_scientific_journal-2675	135	22	)	)	PUNCT
american_scientific_journal-2675	135	23	,	,	PUNCT
american_scientific_journal-2675	135	24	the	the	DET
american_scientific_journal-2675	135	25	function	function	NOUN
american_scientific_journal-2675	135	26	(	(	PUNCT
american_scientific_journal-2675	135	27	)	)	PUNCT
american_scientific_journal-2675	135	28	,	,	PUNCT
american_scientific_journal-2675	135	29	ϕ	ϕ	PROPN
american_scientific_journal-2675	135	30	ζ	ζ	NOUN
american_scientific_journal-2675	135	31	is	be	AUX
american_scientific_journal-2675	135	32	completely	completely	ADV
american_scientific_journal-2675	135	33	determined	determine	VERB
american_scientific_journal-2675	135	34	.	.	PUNCT
american_scientific_journal-2675	136	1	the	the	DET
american_scientific_journal-2675	136	2	value	value	NOUN
american_scientific_journal-2675	136	3	of	of	ADP
american_scientific_journal-2675	136	4	the	the	DET
american_scientific_journal-2675	136	5	function	function	NOUN
american_scientific_journal-2675	136	6	(	(	PUNCT
american_scientific_journal-2675	136	7	)	)	PUNCT
american_scientific_journal-2675	136	8	ψ	ψ	X
american_scientific_journal-2675	136	9	ζ	ζ	NOUN
american_scientific_journal-2675	136	10	takes	take	VERB
american_scientific_journal-2675	136	11	the	the	DET
american_scientific_journal-2675	136	12	form	form	NOUN
american_scientific_journal-2675	136	13	21	21	NUM
american_scientific_journal-2675	136	14	1	1	NUM
american_scientific_journal-2675	136	15	1	1	NUM
american_scientific_journal-2675	136	16	1	1	NUM
american_scientific_journal-2675	136	17	(	(	PUNCT
american_scientific_journal-2675	136	18	)	)	PUNCT
american_scientific_journal-2675	136	19	(	(	PUNCT
american_scientific_journal-2675	136	20	)	)	PUNCT
american_scientific_journal-2675	136	21	(	(	PUNCT
american_scientific_journal-2675	136	22	)	)	PUNCT
american_scientific_journal-2675	136	23	(	(	PUNCT
american_scientific_journal-2675	136	24	)	)	PUNCT
american_scientific_journal-2675	136	25	(	(	PUNCT
american_scientific_journal-2675	136	26	)	)	PUNCT
american_scientific_journal-2675	136	27	,	,	PUNCT
american_scientific_journal-2675	137	1	(	(	PUNCT
american_scientific_journal-2675	137	2	)	)	PUNCT
american_scientific_journal-2675	137	3	1	1	NUM
american_scientific_journal-2675	137	4	j	j	PROPN
american_scientific_journal-2675	137	5	j	j	PROPN
american_scientific_journal-2675	138	1	jj	jj	PROPN
american_scientific_journal-2675	138	2	h	h	PROPN
american_scientific_journal-2675	138	3	ck	ck	PROPN
american_scientific_journal-2675	138	4	n	n	PROPN
american_scientific_journal-2675	138	5	b	b	PROPN
american_scientific_journal-2675	138	6	b	b	PROPN
american_scientific_journal-2675	138	7	n	n	PRON
american_scientific_journal-2675	138	8	ζω	ζω	NOUN
american_scientific_journal-2675	138	9	ζψ	ζψ	ADP
american_scientific_journal-2675	138	10	ζ	ζ	PROPN
american_scientific_journal-2675	138	11	ζ	ζ	NOUN
american_scientific_journal-2675	138	12	ϕ	ϕ	X
american_scientific_journal-2675	138	13	ζ	ζ	NOUN
american_scientific_journal-2675	138	14	ϕ	ϕ	PROPN
american_scientific_journal-2675	138	15	ζ	ζ	NOUN
american_scientific_journal-2675	138	16	ω	ω	NUM
american_scientific_journal-2675	138	17	ζ	ζ	NOUN
american_scientific_journal-2675	138	18	ζ	ζ	NOUN
american_scientific_journal-2675	138	19	−	−	PROPN
american_scientific_journal-2675	138	20	−	−	NOUN
american_scientific_journal-2675	138	21	−	−	PROPN
american_scientific_journal-2675	138	22	∗	∗	NOUN
american_scientific_journal-2675	138	23	∗	∗	NOUN
american_scientific_journal-2675	138	24	=	=	PUNCT
american_scientific_journal-2675	139	1	=	=	PUNCT
american_scientific_journal-2675	139	2	γ	γ	X
american_scientific_journal-2675	139	3	−	−	PROPN
american_scientific_journal-2675	140	1	+	+	PROPN
american_scientific_journal-2675	140	2	+	+	CCONJ
american_scientific_journal-2675	140	3	−	−	PROPN
american_scientific_journal-2675	141	1	′	′	NUM
american_scientific_journal-2675	141	2	−∑	−∑	PROPN
american_scientific_journal-2675	141	3	(	(	PUNCT
american_scientific_journal-2675	141	4	4.7	4.7	NUM
american_scientific_journal-2675	141	5	)	)	PUNCT
american_scientific_journal-2675	141	6	where	where	SCONJ
american_scientific_journal-2675	141	7	1	1	NUM
american_scientific_journal-2675	141	8	(	(	PUNCT
american_scientific_journal-2675	141	9	)	)	PUNCT
american_scientific_journal-2675	141	10	1	1	NUM
american_scientific_journal-2675	141	11	(	(	PUNCT
american_scientific_journal-2675	141	12	)	)	PUNCT
american_scientific_journal-2675	141	13	(	(	PUNCT
american_scientific_journal-2675	141	14	)	)	PUNCT
american_scientific_journal-2675	141	15	(	(	PUNCT
american_scientific_journal-2675	141	16	)	)	PUNCT
american_scientific_journal-2675	141	17	(	(	PUNCT
american_scientific_journal-2675	141	18	)	)	PUNCT
american_scientific_journal-2675	141	19	;	;	PUNCT
american_scientific_journal-2675	141	20	(	(	PUNCT
american_scientific_journal-2675	141	21	)	)	PUNCT
american_scientific_journal-2675	141	22	;	;	PUNCT
american_scientific_journal-2675	141	23	2	2	NUM
american_scientific_journal-2675	141	24	(	(	PUNCT
american_scientific_journal-2675	141	25	)	)	PUNCT
american_scientific_journal-2675	141	26	2	2	NUM
american_scientific_journal-2675	141	27	f	f	NOUN
american_scientific_journal-2675	141	28	fn	fn	PROPN
american_scientific_journal-2675	141	29	b	b	PROPN
american_scientific_journal-2675	142	1	d	d	PROPN
american_scientific_journal-2675	142	2	b	b	PROPN
american_scientific_journal-2675	143	1	d	d	NOUN
american_scientific_journal-2675	143	2	i	i	PRON
american_scientific_journal-2675	143	3	i	i	PROPN
american_scientific_journal-2675	143	4	γ	γ	X
american_scientific_journal-2675	143	5	γ	γ	X
american_scientific_journal-2675	143	6	σ	σ	PROPN
american_scientific_journal-2675	143	7	σϕ	σϕ	PROPN
american_scientific_journal-2675	143	8	σ	σ	PROPN
american_scientific_journal-2675	143	9	ϕ	ϕ	PROPN
american_scientific_journal-2675	143	10	σ	σ	PROPN
american_scientific_journal-2675	143	11	σ	σ	PROPN
american_scientific_journal-2675	143	12	ζ	ζ	PROPN
american_scientific_journal-2675	143	13	σ	σ	PROPN
american_scientific_journal-2675	143	14	σ	σ	PROPN
american_scientific_journal-2675	143	15	π	π	PROPN
american_scientific_journal-2675	143	16	σ	σ	NOUN
american_scientific_journal-2675	143	17	ζ	ζ	PROPN
american_scientific_journal-2675	143	18	π	π	PROPN
american_scientific_journal-2675	143	19	σ∗	σ∗	NOUN
american_scientific_journal-2675	143	20	′=	′=	PROPN
american_scientific_journal-2675	143	21	+	+	PUNCT
american_scientific_journal-2675	143	22	=	=	PUNCT
american_scientific_journal-2675	143	23	=	=	PUNCT
american_scientific_journal-2675	143	24	−∫	−∫	NOUN
american_scientific_journal-2675	143	25	∫	∫	X
american_scientific_journal-2675	143	26	.	.	PUNCT
american_scientific_journal-2675	144	1	5	5	X
american_scientific_journal-2675	144	2	.	.	X
american_scientific_journal-2675	145	1	some	some	DET
american_scientific_journal-2675	145	2	applications	application	NOUN
american_scientific_journal-2675	145	3	in	in	ADP
american_scientific_journal-2675	145	4	this	this	DET
american_scientific_journal-2675	145	5	section	section	NOUN
american_scientific_journal-2675	145	6	,	,	PUNCT
american_scientific_journal-2675	145	7	we	we	PRON
american_scientific_journal-2675	145	8	assume	assume	VERB
american_scientific_journal-2675	145	9	different	different	ADJ
american_scientific_journal-2675	145	10	values	value	NOUN
american_scientific_journal-2675	145	11	of	of	ADP
american_scientific_journal-2675	145	12	the	the	DET
american_scientific_journal-2675	145	13	given	give	VERB
american_scientific_journal-2675	145	14	functions	function	NOUN
american_scientific_journal-2675	145	15	in	in	ADP
american_scientific_journal-2675	145	16	the	the	DET
american_scientific_journal-2675	145	17	first	first	ADJ
american_scientific_journal-2675	145	18	or	or	CCONJ
american_scientific_journal-2675	145	19	second	second	ADJ
american_scientific_journal-2675	145	20	bvps	bvps	NOUN
american_scientific_journal-2675	145	21	.	.	PUNCT
american_scientific_journal-2675	146	1	then	then	ADV
american_scientific_journal-2675	146	2	,	,	PUNCT
american_scientific_journal-2675	146	3	we	we	PRON
american_scientific_journal-2675	146	4	obtain	obtain	VERB
american_scientific_journal-2675	146	5	the	the	DET
american_scientific_journal-2675	146	6	expression	expression	NOUN
american_scientific_journal-2675	146	7	of	of	ADP
american_scientific_journal-2675	146	8	gfs	gfs	PROPN
american_scientific_journal-2675	146	9	.	.	PUNCT
american_scientific_journal-2675	147	1	hence	hence	ADV
american_scientific_journal-2675	147	2	,	,	PUNCT
american_scientific_journal-2675	147	3	the	the	DET
american_scientific_journal-2675	147	4	stresses	stress	NOUN
american_scientific_journal-2675	147	5	components	component	NOUN
american_scientific_journal-2675	147	6	can	can	AUX
american_scientific_journal-2675	147	7	be	be	AUX
american_scientific_journal-2675	147	8	calculated	calculate	VERB
american_scientific_journal-2675	147	9	directly	directly	ADV
american_scientific_journal-2675	147	10	.	.	PUNCT
american_scientific_journal-2675	148	1	5.1	5.1	NUM
american_scientific_journal-2675	148	2	.	.	PUNCT
american_scientific_journal-2675	148	3	application	application	NOUN
american_scientific_journal-2675	148	4	1	1	NUM
american_scientific_journal-2675	148	5	:	:	PUNCT
american_scientific_journal-2675	148	6	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	148	7	hole	hole	NOUN
american_scientific_journal-2675	148	8	for	for	ADP
american_scientific_journal-2675	148	9	an	an	DET
american_scientific_journal-2675	148	10	infinite	infinite	ADJ
american_scientific_journal-2675	148	11	plate	plate	NOUN
american_scientific_journal-2675	148	12	subjected	subject	VERB
american_scientific_journal-2675	148	13	to	to	ADP
american_scientific_journal-2675	148	14	uniform	uniform	ADJ
american_scientific_journal-2675	148	15	tensile	tensile	NOUN
american_scientific_journal-2675	148	16	stress	stress	NOUN
american_scientific_journal-2675	148	17	in	in	ADP
american_scientific_journal-2675	148	18	the	the	DET
american_scientific_journal-2675	148	19	presence	presence	NOUN
american_scientific_journal-2675	148	20	of	of	ADP
american_scientific_journal-2675	148	21	heat	heat	NOUN
american_scientific_journal-2675	148	22	for	for	ADP
american_scientific_journal-2675	148	23	21	21	NUM
american_scientific_journal-2675	148	24	,	,	PUNCT
american_scientific_journal-2675	148	25	,	,	PUNCT
american_scientific_journal-2675	148	26	,	,	PUNCT
american_scientific_journal-2675	148	27	0	0	NUM
american_scientific_journal-2675	148	28	2	2	NUM
american_scientific_journal-2675	148	29	,	,	PUNCT
american_scientific_journal-2675	148	30	0	0	NUM
american_scientific_journal-2675	148	31	,	,	PUNCT
american_scientific_journal-2675	149	1	4	4	NUM
american_scientific_journal-2675	149	2	2	2	NUM
american_scientific_journal-2675	149	3	i	i	NOUN
american_scientific_journal-2675	149	4	x	x	PROPN
american_scientific_journal-2675	149	5	y	y	NOUN
american_scientific_journal-2675	149	6	p	p	X
american_scientific_journal-2675	149	7	pk	pk	PROPN
american_scientific_journal-2675	149	8	e	e	X
american_scientific_journal-2675	149	9	s	s	NOUN
american_scientific_journal-2675	149	10	s	s	X
american_scientific_journal-2675	149	11	fθ	fθ	PROPN
american_scientific_journal-2675	149	12	θ	θ	PROPN
american_scientific_journal-2675	149	13	π∗	π∗	PROPN
american_scientific_journal-2675	149	14	−−	−−	PROPN
american_scientific_journal-2675	149	15	=	=	SYM
american_scientific_journal-2675	149	16	−	−	PROPN
american_scientific_journal-2675	149	17	γ	γ	X
american_scientific_journal-2675	149	18	=	=	SYM
american_scientific_journal-2675	149	19	γ	γ	X
american_scientific_journal-2675	149	20	=	=	SYM
american_scientific_journal-2675	149	21	≤	≤	NOUN
american_scientific_journal-2675	149	22	≤	≤	NUM
american_scientific_journal-2675	149	23	=	=	PUNCT
american_scientific_journal-2675	150	1	=	=	PUNCT
american_scientific_journal-2675	150	2	=	=	NOUN
american_scientific_journal-2675	150	3	we	we	PRON
american_scientific_journal-2675	150	4	have	have	VERB
american_scientific_journal-2675	150	5	2	2	NUM
american_scientific_journal-2675	150	6	1	1	NUM
american_scientific_journal-2675	150	7	2	2	NUM
american_scientific_journal-2675	150	8	1	1	NUM
american_scientific_journal-2675	150	9	(	(	PUNCT
american_scientific_journal-2675	150	10	)	)	PUNCT
american_scientific_journal-2675	150	11	2	2	NUM
american_scientific_journal-2675	151	1	ji	ji	INTJ
american_scientific_journal-2675	152	1	i	i	PRON
american_scientific_journal-2675	152	2	j	j	PROPN
american_scientific_journal-2675	152	3	lcp	lcp	PROPN
american_scientific_journal-2675	152	4	e	e	PROPN
american_scientific_journal-2675	152	5	n	n	PROPN
american_scientific_journal-2675	152	6	θϕ	θϕ	PROPN
american_scientific_journal-2675	152	7	ζ	ζ	PROPN
american_scientific_journal-2675	152	8	ζ	ζ	NOUN
american_scientific_journal-2675	152	9	ζ	ζ	NOUN
american_scientific_journal-2675	152	10	−	−	NOUN
american_scientific_journal-2675	152	11	=	=	SYM
american_scientific_journal-2675	152	12	=	=	SYM
american_scientific_journal-2675	153	1	+	+	NUM
american_scientific_journal-2675	153	2	−∑	−∑	PROPN
american_scientific_journal-2675	153	3	,	,	PUNCT
american_scientific_journal-2675	153	4	(	(	PUNCT
american_scientific_journal-2675	153	5	5.1	5.1	NUM
american_scientific_journal-2675	153	6	)	)	PUNCT
american_scientific_journal-2675	153	7	1	1	NUM
american_scientific_journal-2675	153	8	2	2	NUM
american_scientific_journal-2675	153	9	1	1	NUM
american_scientific_journal-2675	153	10	1	1	NUM
american_scientific_journal-2675	153	11	1	1	NUM
american_scientific_journal-2675	153	12	(	(	PUNCT
american_scientific_journal-2675	153	13	)	)	PUNCT
american_scientific_journal-2675	153	14	(	(	PUNCT
american_scientific_journal-2675	153	15	)	)	PUNCT
american_scientific_journal-2675	153	16	(	(	PUNCT
american_scientific_journal-2675	153	17	)	)	PUNCT
american_scientific_journal-2675	153	18	(	(	PUNCT
american_scientific_journal-2675	153	19	)	)	PUNCT
american_scientific_journal-2675	153	20	4	4	NUM
american_scientific_journal-2675	153	21	(	(	PUNCT
american_scientific_journal-2675	153	22	)	)	PUNCT
american_scientific_journal-2675	154	1	1	1	NUM
american_scientific_journal-2675	154	2	j	j	PROPN
american_scientific_journal-2675	154	3	j	j	PROPN
american_scientific_journal-2675	154	4	j	j	PROPN
american_scientific_journal-2675	154	5	j	j	PROPN
american_scientific_journal-2675	154	6	hcp	hcp	PROPN
american_scientific_journal-2675	154	7	n	n	PROPN
american_scientific_journal-2675	154	8	n	n	NOUN
american_scientific_journal-2675	154	9	ζω	ζω	NOUN
american_scientific_journal-2675	154	10	ζψ	ζψ	ADP
american_scientific_journal-2675	154	11	ζ	ζ	PROPN
american_scientific_journal-2675	154	12	ζ	ζ	NOUN
american_scientific_journal-2675	154	13	ϕ	ϕ	PROPN
american_scientific_journal-2675	154	14	ζ	ζ	NOUN
american_scientific_journal-2675	154	15	ϕ	ϕ	PROPN
american_scientific_journal-2675	154	16	ω	ω	NUM
american_scientific_journal-2675	154	17	ζ	ζ	NOUN
american_scientific_journal-2675	154	18	ζ	ζ	NOUN
american_scientific_journal-2675	154	19	−	−	PROPN
american_scientific_journal-2675	154	20	−	−	NOUN
american_scientific_journal-2675	154	21	−	−	PROPN
american_scientific_journal-2675	154	22	∗	∗	NOUN
american_scientific_journal-2675	154	23	∗	∗	NOUN
american_scientific_journal-2675	154	24	=	=	PUNCT
american_scientific_journal-2675	155	1	=	=	PUNCT
american_scientific_journal-2675	155	2	−	−	NOUN
american_scientific_journal-2675	155	3	−	−	PROPN
american_scientific_journal-2675	156	1	+	+	CCONJ
american_scientific_journal-2675	156	2	′	′	NUM
american_scientific_journal-2675	156	3	−∑	−∑	PROPN
american_scientific_journal-2675	156	4	(	(	PUNCT
american_scientific_journal-2675	156	5	5.2	5.2	NUM
american_scientific_journal-2675	156	6	)	)	PUNCT
american_scientific_journal-2675	156	7	where	where	SCONJ
american_scientific_journal-2675	156	8	,	,	PUNCT
american_scientific_journal-2675	156	9	214	214	NUM
american_scientific_journal-2675	156	10	-	-	SYM
american_scientific_journal-2675	156	11	201	201	NUM
american_scientific_journal-2675	156	12	,	,	PUNCT
american_scientific_journal-2675	156	13	no	no	DET
american_scientific_journal-2675	156	14	1	1	NUM
american_scientific_journal-2675	156	15	,	,	PUNCT
american_scientific_journal-2675	156	16	pp	pp	ADV
american_scientific_journal-2675	156	17	82	82	NUM
american_scientific_journal-2675	156	18	)	)	PUNCT
american_scientific_journal-2675	156	19	volume	volume	NOUN
american_scientific_journal-2675	156	20	2017	2017	NUM
american_scientific_journal-2675	156	21	(	(	PUNCT
american_scientific_journal-2675	156	22	)	)	PUNCT
american_scientific_journal-2675	156	23	research	research	NOUN
american_scientific_journal-2675	156	24	journal	journal	NOUN
american_scientific_journal-2675	156	25	for	for	ADP
american_scientific_journal-2675	156	26	engineering	engineering	NOUN
american_scientific_journal-2675	156	27	,	,	PUNCT
american_scientific_journal-2675	156	28	technology	technology	NOUN
american_scientific_journal-2675	156	29	,	,	PUNCT
american_scientific_journal-2675	156	30	and	and	CCONJ
american_scientific_journal-2675	156	31	sciences	science	NOUN
american_scientific_journal-2675	156	32	(	(	PUNCT
american_scientific_journal-2675	156	33	asrjets	asrjet	NOUN
american_scientific_journal-2675	156	34	american	american	ADJ
american_scientific_journal-2675	156	35	scientific	scientific	VERB
american_scientific_journal-2675	156	36	208	208	NUM
american_scientific_journal-2675	156	37	2	2	NUM
american_scientific_journal-2675	156	38	21	21	NUM
american_scientific_journal-2675	156	39	2	2	NUM
american_scientific_journal-2675	156	40	cos	cos	NOUN
american_scientific_journal-2675	156	41	2	2	NUM
american_scientific_journal-2675	156	42	2	2	NUM
american_scientific_journal-2675	156	43	sin	sin	NOUN
american_scientific_journal-2675	156	44	2	2	NUM
american_scientific_journal-2675	156	45	[	[	PUNCT
american_scientific_journal-2675	156	46	]	]	X
american_scientific_journal-2675	156	47	;	;	PUNCT
american_scientific_journal-2675	156	48	(	(	PUNCT
american_scientific_journal-2675	156	49	)	)	PUNCT
american_scientific_journal-2675	156	50	(	(	PUNCT
american_scientific_journal-2675	156	51	)	)	PUNCT
american_scientific_journal-2675	156	52	4	4	NUM
american_scientific_journal-2675	156	53	1	1	NUM
american_scientific_journal-2675	156	54	1	1	NUM
american_scientific_journal-2675	156	55	4	4	NUM
american_scientific_journal-2675	156	56	j	j	PROPN
american_scientific_journal-2675	156	57	j	j	PROPN
american_scientific_journal-2675	156	58	j	j	PROPN
american_scientific_journal-2675	157	1	j	j	PROPN
american_scientific_journal-2675	157	2	j	j	PROPN
american_scientific_journal-2675	157	3	j	j	PROPN
american_scientific_journal-2675	157	4	j	j	PROPN
american_scientific_journal-2675	157	5	j	j	PROPN
american_scientific_journal-2675	157	6	n	n	PROPN
american_scientific_journal-2675	157	7	ncp	ncp	PROPN
american_scientific_journal-2675	157	8	cpl	cpl	PROPN
american_scientific_journal-2675	158	1	h	h	NOUN
american_scientific_journal-2675	159	1	i	i	PRON
american_scientific_journal-2675	159	2	h	h	VERB
american_scientific_journal-2675	160	1	d	d	NOUN
american_scientific_journal-2675	160	2	h	h	NOUN
american_scientific_journal-2675	161	1	d	d	NOUN
american_scientific_journal-2675	161	2	θ	θ	X
american_scientific_journal-2675	161	3	θ	θ	NOUN
american_scientific_journal-2675	161	4	ϕ	ϕ	X
american_scientific_journal-2675	161	5	ζ	ζ	NOUN
american_scientific_journal-2675	161	6	ϕ	ϕ	X
american_scientific_journal-2675	161	7	ζ∗	ζ∗	PROPN
american_scientific_journal-2675	161	8	−	−	PROPN
american_scientific_journal-2675	161	9	′=	′=	PROPN
american_scientific_journal-2675	161	10	+	+	PUNCT
american_scientific_journal-2675	161	11	=	=	PUNCT
american_scientific_journal-2675	162	1	+	+	NUM
american_scientific_journal-2675	162	2	−	−	PROPN
american_scientific_journal-2675	163	1	+	+	CCONJ
american_scientific_journal-2675	163	2	.	.	PUNCT
american_scientific_journal-2675	164	1	(	(	PUNCT
american_scientific_journal-2675	164	2	5.3	5.3	NUM
american_scientific_journal-2675	164	3	)	)	PUNCT
american_scientific_journal-2675	164	4	the	the	DET
american_scientific_journal-2675	164	5	application	application	NOUN
american_scientific_journal-2675	164	6	discusses	discuss	VERB
american_scientific_journal-2675	164	7	the	the	DET
american_scientific_journal-2675	164	8	first	first	ADJ
american_scientific_journal-2675	164	9	bvp	bvp	NOUN
american_scientific_journal-2675	164	10	of	of	ADP
american_scientific_journal-2675	164	11	an	an	DET
american_scientific_journal-2675	164	12	infinite	infinite	ADJ
american_scientific_journal-2675	164	13	plate	plate	NOUN
american_scientific_journal-2675	164	14	stretched	stretch	VERB
american_scientific_journal-2675	164	15	at	at	ADP
american_scientific_journal-2675	164	16	infinity	infinity	NOUN
american_scientific_journal-2675	164	17	by	by	ADP
american_scientific_journal-2675	164	18	the	the	DET
american_scientific_journal-2675	164	19	application	application	NOUN
american_scientific_journal-2675	164	20	of	of	ADP
american_scientific_journal-2675	164	21	a	a	DET
american_scientific_journal-2675	164	22	uniform	uniform	ADJ
american_scientific_journal-2675	164	23	tensile	tensile	NOUN
american_scientific_journal-2675	164	24	stress	stress	NOUN
american_scientific_journal-2675	164	25	of	of	ADP
american_scientific_journal-2675	164	26	intensityγ	intensityγ	NOUN
american_scientific_journal-2675	164	27	.	.	PUNCT
american_scientific_journal-2675	165	1	the	the	DET
american_scientific_journal-2675	165	2	plate	plate	NOUN
american_scientific_journal-2675	165	3	is	be	AUX
american_scientific_journal-2675	165	4	weakened	weaken	VERB
american_scientific_journal-2675	165	5	by	by	ADP
american_scientific_journal-2675	165	6	a	a	DET
american_scientific_journal-2675	165	7	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	165	8	hole	hole	NOUN
american_scientific_journal-2675	165	9	c	c	NOUN
american_scientific_journal-2675	165	10	which	which	PRON
american_scientific_journal-2675	165	11	is	be	AUX
american_scientific_journal-2675	165	12	free	free	ADJ
american_scientific_journal-2675	165	13	from	from	ADP
american_scientific_journal-2675	165	14	stress	stress	NOUN
american_scientific_journal-2675	165	15	and	and	CCONJ
american_scientific_journal-2675	165	16	the	the	DET
american_scientific_journal-2675	165	17	intensity	intensity	NOUN
american_scientific_journal-2675	165	18	temperature	temperature	NOUN
american_scientific_journal-2675	165	19	t	t	PROPN
american_scientific_journal-2675	165	20	,	,	PUNCT
american_scientific_journal-2675	165	21	in	in	ADP
american_scientific_journal-2675	165	22	the	the	DET
american_scientific_journal-2675	165	23	all	all	DET
american_scientific_journal-2675	165	24	edge	edge	NOUN
american_scientific_journal-2675	165	25	of	of	ADP
american_scientific_journal-2675	165	26	the	the	DET
american_scientific_journal-2675	165	27	curvilinear	curvilinear	PROPN
american_scientific_journal-2675	165	28	hole	hole	NOUN
american_scientific_journal-2675	165	29	c.	c.	PROPN
american_scientific_journal-2675	165	30	figure(5	figure(5	PROPN
american_scientific_journal-2675	165	31	)	)	PUNCT
american_scientific_journal-2675	165	32	describes	describe	VERB
american_scientific_journal-2675	165	33	the	the	DET
american_scientific_journal-2675	165	34	following	following	NOUN
american_scientific_journal-2675	165	35	:	:	PUNCT
american_scientific_journal-2675	165	36	1	1	X
american_scientific_journal-2675	165	37	)	)	PUNCT
american_scientific_journal-2675	166	1	xxσ	xxσ	PROPN
american_scientific_journal-2675	166	2	has	have	VERB
american_scientific_journal-2675	166	3	a	a	DET
american_scientific_journal-2675	166	4	positive	positive	ADJ
american_scientific_journal-2675	166	5	values	value	NOUN
american_scientific_journal-2675	166	6	at	at	ADP
american_scientific_journal-2675	166	7	0.127	0.127	NUM
american_scientific_journal-2675	166	8	0.7	0.7	NUM
american_scientific_journal-2675	166	9	,	,	PUNCT
american_scientific_journal-2675	166	10	1.27	1.27	NUM
american_scientific_journal-2675	166	11	1.4π	1.4π	NUM
american_scientific_journal-2675	166	12	θ	θ	NOUN
american_scientific_journal-2675	166	13	π	π	NOUN
american_scientific_journal-2675	166	14	π	π	X
american_scientific_journal-2675	166	15	π	π	PUNCT
american_scientific_journal-2675	166	16			PROPN
american_scientific_journal-2675	166	17			NOUN
american_scientific_journal-2675	166	18	and	and	CCONJ
american_scientific_journal-2675	166	19	1.6	1.6	NUM
american_scientific_journal-2675	166	20	1.75π	1.75π	NUM
american_scientific_journal-2675	166	21	θ	θ	PROPN
american_scientific_journal-2675	166	22	π	π	PUNCT
american_scientific_journal-2675	166	23			PROPN
american_scientific_journal-2675	166	24	.	.	NOUN
american_scientific_journal-2675	166	25	2	2	X
american_scientific_journal-2675	166	26	)	)	PUNCT
american_scientific_journal-2675	166	27	yyσ	yyσ	PROPN
american_scientific_journal-2675	166	28	has	have	VERB
american_scientific_journal-2675	166	29	a	a	DET
american_scientific_journal-2675	166	30	positive	positive	ADJ
american_scientific_journal-2675	166	31	values	value	NOUN
american_scientific_journal-2675	166	32	at	at	ADP
american_scientific_journal-2675	166	33	0	0	NUM
american_scientific_journal-2675	166	34	0.127	0.127	NUM
american_scientific_journal-2675	166	35	1.37	1.37	NUM
american_scientific_journal-2675	166	36	2andθ	2andθ	NUM
american_scientific_journal-2675	166	37	π	π	X
american_scientific_journal-2675	166	38	π	π	X
american_scientific_journal-2675	166	39	θ	θ	PROPN
american_scientific_journal-2675	166	40	π	π	PUNCT
american_scientific_journal-2675	166	41			PROPN
american_scientific_journal-2675	166	42			PROPN
american_scientific_journal-2675	166	43			NOUN
american_scientific_journal-2675	166	44	.	.	NOUN
american_scientific_journal-2675	166	45	3	3	X
american_scientific_journal-2675	166	46	)	)	PUNCT
american_scientific_journal-2675	166	47	xyσ	xyσ	NOUN
american_scientific_journal-2675	166	48	has	have	VERB
american_scientific_journal-2675	166	49	a	a	DET
american_scientific_journal-2675	166	50	positive	positive	ADJ
american_scientific_journal-2675	166	51	values	value	NOUN
american_scientific_journal-2675	166	52	at	at	ADP
american_scientific_journal-2675	166	53	πθπ	πθπ	NOUN
american_scientific_journal-2675	166	54	5.13	5.13	NUM
american_scientific_journal-2675	166	55			PROPN
american_scientific_journal-2675	166	56	and	and	CCONJ
american_scientific_journal-2675	166	57	1.656	1.656	NUM
american_scientific_journal-2675	166	58	1.94π	1.94π	NUM
american_scientific_journal-2675	166	59	θ	θ	PROPN
american_scientific_journal-2675	166	60	π	π	PUNCT
american_scientific_journal-2675	166	61			PROPN
american_scientific_journal-2675	166	62	.	.	NOUN
american_scientific_journal-2675	167	1	4	4	X
american_scientific_journal-2675	167	2	)	)	PUNCT
american_scientific_journal-2675	167	3	yy	yy	PROPN
american_scientific_journal-2675	167	4	xx	xx	NUM
american_scientific_journal-2675	167	5	σ	σ	PROPN
american_scientific_journal-2675	167	6	σmax	σmax	NOUN
american_scientific_journal-2675	167	7	at	at	ADP
american_scientific_journal-2675	167	8	1.146θ	1.146θ	NUM
american_scientific_journal-2675	167	9	π≈	π≈	NOUN
american_scientific_journal-2675	167	10	.	.	PUNCT
american_scientific_journal-2675	168	1	xx	xx	NUM
american_scientific_journal-2675	168	2	yy	yy	PROPN
american_scientific_journal-2675	168	3	σ	σ	PROPN
american_scientific_journal-2675	168	4	σmax	σmax	NOUN
american_scientific_journal-2675	168	5	at	at	ADP
american_scientific_journal-2675	168	6	1.56θ	1.56θ	NUM
american_scientific_journal-2675	168	7	π≈	π≈	NOUN
american_scientific_journal-2675	168	8	.	.	PUNCT
american_scientific_journal-2675	169	1	for	for	ADP
american_scientific_journal-2675	169	2	3.01	3.01	NUM
american_scientific_journal-2675	169	3	=	=	NOUN
american_scientific_journal-2675	169	4	n	n	NUM
american_scientific_journal-2675	169	5	,	,	PUNCT
american_scientific_journal-2675	169	6	2	2	NUM
american_scientific_journal-2675	169	7	0.25n	0.25n	NOUN
american_scientific_journal-2675	169	8	=	=	X
american_scientific_journal-2675	169	9	,	,	PUNCT
american_scientific_journal-2675	169	10	1	1	NUM
american_scientific_journal-2675	169	11	1	1	NUM
american_scientific_journal-2675	169	12	m	m	NOUN
american_scientific_journal-2675	169	13	=	=	NOUN
american_scientific_journal-2675	169	14	,	,	PUNCT
american_scientific_journal-2675	169	15	2	2	NUM
american_scientific_journal-2675	169	16	0.01,m	0.01,m	NUM
american_scientific_journal-2675	169	17	=	=	PUNCT
american_scientific_journal-2675	169	18	−	−	PROPN
american_scientific_journal-2675	169	19	and	and	CCONJ
american_scientific_journal-2675	169	20	0.25p	0.25p	PRON
american_scientific_journal-2675	169	21	=	=	PUNCT
american_scientific_journal-2675	169	22	the	the	DET
american_scientific_journal-2675	169	23	stress	stress	NOUN
american_scientific_journal-2675	169	24	components	component	NOUN
american_scientific_journal-2675	169	25	xxσ	xxσ	PROPN
american_scientific_journal-2675	169	26	,	,	PUNCT
american_scientific_journal-2675	169	27	yyσ	yyσ	PROPN
american_scientific_journal-2675	169	28	and	and	CCONJ
american_scientific_journal-2675	169	29	xyσ	xyσ	PROPN
american_scientific_journal-2675	169	30	are	be	AUX
american_scientific_journal-2675	169	31	obtained	obtain	VERB
american_scientific_journal-2675	169	32	in	in	ADP
american_scientific_journal-2675	169	33	large	large	ADJ
american_scientific_journal-2675	169	34	forms	form	NOUN
american_scientific_journal-2675	169	35	calculated	calculate	VERB
american_scientific_journal-2675	169	36	by	by	ADP
american_scientific_journal-2675	169	37	computer	computer	NOUN
american_scientific_journal-2675	169	38	and	and	CCONJ
american_scientific_journal-2675	169	39	illustrated	illustrate	VERB
american_scientific_journal-2675	169	40	in	in	ADP
american_scientific_journal-2675	169	41	fig.(5	fig.(5	PROPN
american_scientific_journal-2675	169	42	)	)	PUNCT
american_scientific_journal-2675	169	43	and	and	CCONJ
american_scientific_journal-2675	169	44	fig	fig	NOUN
american_scientific_journal-2675	169	45	.	.	PUNCT
american_scientific_journal-2675	170	1	(	(	PUNCT
american_scientific_journal-2675	170	2	6	6	NUM
american_scientific_journal-2675	170	3	)	)	PUNCT
american_scientific_journal-2675	170	4	,	,	PUNCT
american_scientific_journal-2675	170	5	respectively	respectively	ADV
american_scientific_journal-2675	170	6	.	.	PUNCT
american_scientific_journal-2675	171	1	σ	σ	NOUN
american_scientific_journal-2675	171	2	+	+	PUNCT
american_scientific_journal-2675	172	1	+	+	PUNCT
american_scientific_journal-2675	172	2	+	+	NUM
american_scientific_journal-2675	172	3	xyσ	xyσ	NOUN
american_scientific_journal-2675	173	1	_	_	PUNCT
american_scientific_journal-2675	174	1	_	_	PUNCT
american_scientific_journal-2675	174	2	_	_	PUNCT
american_scientific_journal-2675	175	1	yyσ	yyσ	X
american_scientific_journal-2675	176	1	_	_	PUNCT
american_scientific_journal-2675	177	1	_	_	PUNCT
american_scientific_journal-2675	178	1	_	_	PUNCT
american_scientific_journal-2675	179	1	xxσappl.1	xxσappl.1	PROPN
american_scientific_journal-2675	179	2	of	of	ADP
american_scientific_journal-2675	179	3	components	component	NOUN
american_scientific_journal-2675	179	4	stress	stress	VERB
american_scientific_journal-2675	179	5	case1	case1	NOUN
american_scientific_journal-2675	179	6	:	:	PUNCT
american_scientific_journal-2675	179	7	figure	figure	VERB
american_scientific_journal-2675	179	8	5	5	NUM
american_scientific_journal-2675	179	9	214	214	NUM
american_scientific_journal-2675	179	10	-	-	SYM
american_scientific_journal-2675	179	11	201	201	NUM
american_scientific_journal-2675	179	12	,	,	PUNCT
american_scientific_journal-2675	179	13	no	no	DET
american_scientific_journal-2675	179	14	1	1	NUM
american_scientific_journal-2675	179	15	,	,	PUNCT
american_scientific_journal-2675	179	16	pp	pp	ADV
american_scientific_journal-2675	179	17	82	82	NUM
american_scientific_journal-2675	179	18	)	)	PUNCT
american_scientific_journal-2675	179	19	volume	volume	NOUN
american_scientific_journal-2675	179	20	2017	2017	NUM
american_scientific_journal-2675	179	21	(	(	PUNCT
american_scientific_journal-2675	179	22	)	)	PUNCT
american_scientific_journal-2675	179	23	research	research	NOUN
american_scientific_journal-2675	179	24	journal	journal	NOUN
american_scientific_journal-2675	179	25	for	for	ADP
american_scientific_journal-2675	179	26	engineering	engineering	NOUN
american_scientific_journal-2675	179	27	,	,	PUNCT
american_scientific_journal-2675	179	28	technology	technology	NOUN
american_scientific_journal-2675	179	29	,	,	PUNCT
american_scientific_journal-2675	179	30	and	and	CCONJ
american_scientific_journal-2675	179	31	sciences	science	NOUN
american_scientific_journal-2675	179	32	(	(	PUNCT
american_scientific_journal-2675	179	33	asrjets	asrjet	NOUN
american_scientific_journal-2675	179	34	american	american	PROPN
american_scientific_journal-2675	179	35	scientific	scientific	VERB
american_scientific_journal-2675	179	36	209	209	NUM
american_scientific_journal-2675	179	37	σ	σ	NUM
american_scientific_journal-2675	179	38	1	1	NUM
american_scientific_journal-2675	179	39	02	02	NUM
american_scientific_journal-2675	179	40	,	,	PUNCT
american_scientific_journal-2675	179	41	0.1	0.1	NUM
american_scientific_journal-2675	179	42	,	,	PUNCT
american_scientific_journal-2675	179	43	0.75	0.75	NUM
american_scientific_journal-2675	179	44	,	,	PUNCT
american_scientific_journal-2675	179	45	0.7	0.7	NUM
american_scientific_journal-2675	179	46	,	,	PUNCT
american_scientific_journal-2675	179	47	1	1	NUM
american_scientific_journal-2675	179	48	g	g	NOUN
american_scientific_journal-2675	179	49	t	t	NOUN
american_scientific_journal-2675	179	50	r	r	NOUN
american_scientific_journal-2675	179	51	α	α	NOUN
american_scientific_journal-2675	179	52	ν=	ν=	NOUN
american_scientific_journal-2675	179	53	=	=	SYM
american_scientific_journal-2675	180	1	=	=	PUNCT
american_scientific_journal-2675	180	2	=	=	PUNCT
american_scientific_journal-2675	181	1	=	=	PUNCT
american_scientific_journal-2675	182	1	+	+	PUNCT
american_scientific_journal-2675	182	2	+	+	CCONJ
american_scientific_journal-2675	182	3	+	+	NUM
american_scientific_journal-2675	182	4	xyσ	xyσ	NOUN
american_scientific_journal-2675	182	5	_	_	PUNCT
american_scientific_journal-2675	183	1	_	_	PUNCT
american_scientific_journal-2675	183	2	_	_	PUNCT
american_scientific_journal-2675	184	1	yyσ	yyσ	X
american_scientific_journal-2675	185	1	_	_	PUNCT
american_scientific_journal-2675	186	1	_	_	PUNCT
american_scientific_journal-2675	187	1	_	_	PUNCT
american_scientific_journal-2675	187	2	xxσ	xxσ	PROPN
american_scientific_journal-2675	188	1	appl.1	appl.1	PROPN
american_scientific_journal-2675	188	2	of	of	ADP
american_scientific_journal-2675	188	3	thermoelastic	thermoelastic	ADJ
american_scientific_journal-2675	188	4	2	2	NUM
american_scientific_journal-2675	188	5	:	:	PUNCT
american_scientific_journal-2675	188	6	case	case	NOUN
american_scientific_journal-2675	188	7	figure	figure	NOUN
american_scientific_journal-2675	188	8	6	6	NUM
american_scientific_journal-2675	188	9	from	from	ADP
american_scientific_journal-2675	188	10	figure	figure	NOUN
american_scientific_journal-2675	188	11	(	(	PUNCT
american_scientific_journal-2675	188	12	6	6	NUM
american_scientific_journal-2675	188	13	)	)	PUNCT
american_scientific_journal-2675	188	14	,	,	PUNCT
american_scientific_journal-2675	188	15	we	we	PRON
american_scientific_journal-2675	188	16	deduce	deduce	VERB
american_scientific_journal-2675	188	17	1	1	NUM
american_scientific_journal-2675	188	18	*	*	NUM
american_scientific_journal-2675	188	19	)	)	PUNCT
american_scientific_journal-2675	188	20	xxσ	xxσ	PROPN
american_scientific_journal-2675	188	21	has	have	VERB
american_scientific_journal-2675	188	22	a	a	DET
american_scientific_journal-2675	188	23	positive	positive	ADJ
american_scientific_journal-2675	188	24	values	value	NOUN
american_scientific_journal-2675	188	25	at	at	ADP
american_scientific_journal-2675	188	26	0.127	0.127	NUM
american_scientific_journal-2675	188	27	0.7	0.7	NUM
american_scientific_journal-2675	188	28	,	,	PUNCT
american_scientific_journal-2675	188	29	1.27	1.27	NUM
american_scientific_journal-2675	188	30	1.4π	1.4π	NUM
american_scientific_journal-2675	188	31	θ	θ	NOUN
american_scientific_journal-2675	188	32	π	π	NOUN
american_scientific_journal-2675	188	33	π	π	X
american_scientific_journal-2675	188	34	π	π	PUNCT
american_scientific_journal-2675	188	35			PROPN
american_scientific_journal-2675	188	36			NOUN
american_scientific_journal-2675	188	37	and	and	CCONJ
american_scientific_journal-2675	188	38	1.6	1.6	NUM
american_scientific_journal-2675	188	39	1.75π	1.75π	NUM
american_scientific_journal-2675	188	40	θ	θ	NOUN
american_scientific_journal-2675	188	41	π	π	PUNCT
american_scientific_journal-2675	188	42			ADJ
american_scientific_journal-2675	188	43	2	2	NUM
american_scientific_journal-2675	188	44	*	*	PUNCT
american_scientific_journal-2675	188	45	)	)	PUNCT
american_scientific_journal-2675	188	46	yyσ	yyσ	PROPN
american_scientific_journal-2675	188	47	has	have	VERB
american_scientific_journal-2675	188	48	a	a	DET
american_scientific_journal-2675	188	49	positive	positive	ADJ
american_scientific_journal-2675	188	50	values	value	NOUN
american_scientific_journal-2675	188	51	at	at	ADP
american_scientific_journal-2675	188	52	0	0	NUM
american_scientific_journal-2675	188	53	0.127	0.127	NUM
american_scientific_journal-2675	188	54	1.37	1.37	NUM
american_scientific_journal-2675	188	55	2andθ	2andθ	NUM
american_scientific_journal-2675	188	56	π	π	X
american_scientific_journal-2675	188	57	π	π	X
american_scientific_journal-2675	188	58	θ	θ	PROPN
american_scientific_journal-2675	188	59	π	π	PUNCT
american_scientific_journal-2675	188	60			PROPN
american_scientific_journal-2675	188	61			PROPN
american_scientific_journal-2675	188	62			NOUN
american_scientific_journal-2675	188	63	.	.	PUNCT
american_scientific_journal-2675	189	1	3	3	NUM
american_scientific_journal-2675	189	2	*	*	NUM
american_scientific_journal-2675	189	3	)	)	PUNCT
american_scientific_journal-2675	189	4	xyσ	xyσ	PROPN
american_scientific_journal-2675	189	5	has	have	VERB
american_scientific_journal-2675	189	6	a	a	DET
american_scientific_journal-2675	189	7	positive	positive	ADJ
american_scientific_journal-2675	189	8	values	value	NOUN
american_scientific_journal-2675	189	9	at	at	ADP
american_scientific_journal-2675	189	10	3	3	NUM
american_scientific_journal-2675	189	11	1.5π	1.5π	NUM
american_scientific_journal-2675	189	12	θ	θ	PROPN
american_scientific_journal-2675	189	13	π	π	PUNCT
american_scientific_journal-2675	189	14			ADJ
american_scientific_journal-2675	189	15	and	and	CCONJ
american_scientific_journal-2675	189	16	1.656	1.656	NUM
american_scientific_journal-2675	189	17	1.94π	1.94π	NUM
american_scientific_journal-2675	189	18	θ	θ	PROPN
american_scientific_journal-2675	189	19	π	π	PUNCT
american_scientific_journal-2675	189	20			PROPN
american_scientific_journal-2675	189	21	.	.	PUNCT
american_scientific_journal-2675	190	1	4	4	NUM
american_scientific_journal-2675	190	2	*	*	NUM
american_scientific_journal-2675	190	3	)	)	PUNCT
american_scientific_journal-2675	191	1	max	max	PROPN
american_scientific_journal-2675	191	2	xx	xx	NUM
american_scientific_journal-2675	191	3	yy	yy	PROPN
american_scientific_journal-2675	191	4	σ	σ	PROPN
american_scientific_journal-2675	191	5	σ	σ	PROPN
american_scientific_journal-2675	191	6	at	at	ADP
american_scientific_journal-2675	191	7	1.178θ	1.178θ	NUM
american_scientific_journal-2675	191	8	π≈	π≈	NOUN
american_scientific_journal-2675	191	9	.	.	PUNCT
american_scientific_journal-2675	192	1	max	max	PROPN
american_scientific_journal-2675	192	2	yy	yy	PROPN
american_scientific_journal-2675	192	3	xx	xx	NUM
american_scientific_journal-2675	192	4	σ	σ	PROPN
american_scientific_journal-2675	192	5	σ	σ	NOUN
american_scientific_journal-2675	192	6	at	at	ADP
american_scientific_journal-2675	192	7	0.732θ	0.732θ	ADJ
american_scientific_journal-2675	192	8	π≈	π≈	NOUN
american_scientific_journal-2675	192	9	.	.	PUNCT
american_scientific_journal-2675	193	1	application	application	NOUN
american_scientific_journal-2675	193	2	2	2	NUM
american_scientific_journal-2675	193	3	:	:	PUNCT
american_scientific_journal-2675	193	4	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	193	5	hole	hole	NOUN
american_scientific_journal-2675	193	6	having	have	VERB
american_scientific_journal-2675	193	7	two	two	NUM
american_scientific_journal-2675	193	8	poles	pole	NOUN
american_scientific_journal-2675	193	9	and	and	CCONJ
american_scientific_journal-2675	193	10	the	the	DET
american_scientific_journal-2675	193	11	edge	edge	NOUN
american_scientific_journal-2675	193	12	is	be	AUX
american_scientific_journal-2675	193	13	subject	subject	ADJ
american_scientific_journal-2675	193	14	to	to	ADP
american_scientific_journal-2675	193	15	a	a	DET
american_scientific_journal-2675	193	16	uniform	uniform	ADJ
american_scientific_journal-2675	193	17	pressure	pressure	NOUN
american_scientific_journal-2675	193	18	p	p	NOUN
american_scientific_journal-2675	193	19	.	.	PUNCT
american_scientific_journal-2675	194	1	if	if	SCONJ
american_scientific_journal-2675	194	2	1	1	NUM
american_scientific_journal-2675	194	3	,	,	PUNCT
american_scientific_journal-2675	194	4	0	0	NUM
american_scientific_journal-2675	194	5	,	,	PUNCT
american_scientific_journal-2675	194	6	(	(	PUNCT
american_scientific_journal-2675	194	7	)	)	PUNCT
american_scientific_journal-2675	195	1	.x	.x	PROPN
american_scientific_journal-2675	195	2	yk	yk	PROPN
american_scientific_journal-2675	195	3	s	s	PROPN
american_scientific_journal-2675	195	4	s	s	X
american_scientific_journal-2675	195	5	f	f	X
american_scientific_journal-2675	195	6	t	t	PROPN
american_scientific_journal-2675	195	7	p	p	X
american_scientific_journal-2675	195	8	t∗=	t∗=	NOUN
american_scientific_journal-2675	195	9	−	−	NOUN
american_scientific_journal-2675	196	1	=	=	SYM
american_scientific_journal-2675	196	2	=	=	PUNCT
american_scientific_journal-2675	196	3	γ	γ	X
american_scientific_journal-2675	196	4	=	=	SYM
american_scientific_journal-2675	196	5	γ	γ	X
american_scientific_journal-2675	196	6	=	=	SYM
american_scientific_journal-2675	196	7	=	=	PUNCT
american_scientific_journal-2675	196	8	then	then	ADV
american_scientific_journal-2675	196	9	,	,	PUNCT
american_scientific_journal-2675	196	10	we	we	PRON
american_scientific_journal-2675	196	11	have	have	VERB
american_scientific_journal-2675	196	12	32	32	NUM
american_scientific_journal-2675	196	13	2	2	NUM
american_scientific_journal-2675	196	14	1	1	NUM
american_scientific_journal-2675	196	15	2	2	NUM
american_scientific_journal-2675	196	16	1	1	NUM
american_scientific_journal-2675	196	17	11	11	NUM
american_scientific_journal-2675	196	18	(	(	PUNCT
american_scientific_journal-2675	196	19	)	)	PUNCT
american_scientific_journal-2675	196	20	,	,	PUNCT
american_scientific_journal-2675	196	21	(	(	PUNCT
american_scientific_journal-2675	196	22	)	)	PUNCT
american_scientific_journal-2675	196	23	(	(	PUNCT
american_scientific_journal-2675	196	24	)	)	PUNCT
american_scientific_journal-2675	197	1	(	(	PUNCT
american_scientific_journal-2675	197	2	)	)	PUNCT
american_scientific_journal-2675	197	3	(	(	PUNCT
american_scientific_journal-2675	197	4	1	1	X
american_scientific_journal-2675	197	5	)	)	PUNCT
american_scientific_journal-2675	197	6	j	j	PROPN
american_scientific_journal-2675	198	1	j	j	PROPN
american_scientific_journal-2675	198	2	j	j	PROPN
american_scientific_journal-2675	199	1	j	j	PROPN
american_scientific_journal-2675	199	2	j	j	PROPN
american_scientific_journal-2675	200	1	jj	jj	PROPN
american_scientific_journal-2675	200	2	j	j	PROPN
american_scientific_journal-2675	201	1	j	j	PROPN
american_scientific_journal-2675	201	2	j	j	PROPN
american_scientific_journal-2675	201	3	j	j	PROPN
american_scientific_journal-2675	201	4	j	j	PROPN
american_scientific_journal-2675	201	5	n	n	CCONJ
american_scientific_journal-2675	201	6	m	m	VERB
american_scientific_journal-2675	201	7	n	n	ADV
american_scientific_journal-2675	201	8	m	m	NOUN
american_scientific_journal-2675	201	9	h	h	NOUN
american_scientific_journal-2675	202	1	e	e	NOUN
american_scientific_journal-2675	202	2	cp	cp	INTJ
american_scientific_journal-2675	202	3	n	n	PROPN
american_scientific_journal-2675	202	4	n	n	CCONJ
american_scientific_journal-2675	202	5	n	n	CCONJ
american_scientific_journal-2675	202	6	n	n	NOUN
american_scientific_journal-2675	202	7	h	h	NOUN
american_scientific_journal-2675	203	1	d	d	X
american_scientific_journal-2675	203	2	ϕ	ϕ	X
american_scientific_journal-2675	203	3	ζ	ζ	NOUN
american_scientific_journal-2675	203	4	ζ	ζ	NOUN
american_scientific_journal-2675	203	5	ζ=	ζ=	ADJ
american_scientific_journal-2675	203	6	=	=	NOUN
american_scientific_journal-2675	203	7	±	±	NOUN
american_scientific_journal-2675	203	8	+	+	NOUN
american_scientific_journal-2675	204	1	+	+	CCONJ
american_scientific_journal-2675	205	1	=	=	SYM
american_scientific_journal-2675	205	2	−	−	NOUN
american_scientific_journal-2675	205	3	−	−	NOUN
american_scientific_journal-2675	206	1	−	−	NOUN
american_scientific_journal-2675	207	1	−	−	PROPN
american_scientific_journal-2675	208	1	−∑	−∑	PROPN
american_scientific_journal-2675	209	1	∑	∑	PUNCT
american_scientific_journal-2675	209	2	.	.	PUNCT
american_scientific_journal-2675	210	1	(	(	PUNCT
american_scientific_journal-2675	210	2	5.4	5.4	NUM
american_scientific_journal-2675	210	3	)	)	PUNCT
american_scientific_journal-2675	210	4	214	214	NUM
american_scientific_journal-2675	210	5	-	-	SYM
american_scientific_journal-2675	210	6	201	201	NUM
american_scientific_journal-2675	210	7	,	,	PUNCT
american_scientific_journal-2675	210	8	no	no	DET
american_scientific_journal-2675	210	9	1	1	NUM
american_scientific_journal-2675	210	10	,	,	PUNCT
american_scientific_journal-2675	210	11	pp	pp	ADV
american_scientific_journal-2675	210	12	82	82	NUM
american_scientific_journal-2675	210	13	)	)	PUNCT
american_scientific_journal-2675	210	14	volume	volume	NOUN
american_scientific_journal-2675	210	15	2017	2017	NUM
american_scientific_journal-2675	210	16	(	(	PUNCT
american_scientific_journal-2675	210	17	)	)	PUNCT
american_scientific_journal-2675	210	18	research	research	NOUN
american_scientific_journal-2675	210	19	journal	journal	NOUN
american_scientific_journal-2675	210	20	for	for	ADP
american_scientific_journal-2675	210	21	engineering	engineering	NOUN
american_scientific_journal-2675	210	22	,	,	PUNCT
american_scientific_journal-2675	210	23	technology	technology	NOUN
american_scientific_journal-2675	210	24	,	,	PUNCT
american_scientific_journal-2675	210	25	and	and	CCONJ
american_scientific_journal-2675	210	26	sciences	science	NOUN
american_scientific_journal-2675	210	27	(	(	PUNCT
american_scientific_journal-2675	210	28	asrjets	asrjet	NOUN
american_scientific_journal-2675	210	29	american	american	ADJ
american_scientific_journal-2675	210	30	scientific	scientific	ADJ
american_scientific_journal-2675	210	31	210	210	NUM
american_scientific_journal-2675	210	32	1	1	NUM
american_scientific_journal-2675	210	33	2	2	NUM
american_scientific_journal-2675	210	34	1	1	NUM
american_scientific_journal-2675	210	35	1	1	NUM
american_scientific_journal-2675	210	36	1	1	NUM
american_scientific_journal-2675	210	37	2	2	NUM
american_scientific_journal-2675	210	38	1	1	NUM
american_scientific_journal-2675	210	39	(	(	PUNCT
american_scientific_journal-2675	210	40	)	)	PUNCT
american_scientific_journal-2675	210	41	(	(	PUNCT
american_scientific_journal-2675	210	42	)	)	PUNCT
american_scientific_journal-2675	210	43	(	(	PUNCT
american_scientific_journal-2675	210	44	)	)	PUNCT
american_scientific_journal-2675	210	45	(	(	PUNCT
american_scientific_journal-2675	210	46	)	)	PUNCT
american_scientific_journal-2675	210	47	(	(	PUNCT
american_scientific_journal-2675	210	48	)	)	PUNCT
american_scientific_journal-2675	210	49	(	(	PUNCT
american_scientific_journal-2675	210	50	)	)	PUNCT
american_scientific_journal-2675	210	51	1	1	NUM
american_scientific_journal-2675	211	1	j	j	PROPN
american_scientific_journal-2675	211	2	j	j	PROPN
american_scientific_journal-2675	211	3	j	j	PROPN
american_scientific_journal-2675	212	1	j	j	PROPN
american_scientific_journal-2675	212	2	h	h	NOUN
american_scientific_journal-2675	212	3	cp	cp	INTJ
american_scientific_journal-2675	212	4	n	n	PROPN
american_scientific_journal-2675	212	5	n	n	ADV
american_scientific_journal-2675	212	6	cp	cp	INTJ
american_scientific_journal-2675	212	7	n	n	CCONJ
american_scientific_journal-2675	212	8	n	n	ADV
american_scientific_journal-2675	212	9	ζω	ζω	NOUN
american_scientific_journal-2675	212	10	ζψ	ζψ	ADP
american_scientific_journal-2675	212	11	ζ	ζ	PROPN
american_scientific_journal-2675	212	12	ϕ	ϕ	PROPN
american_scientific_journal-2675	212	13	ζ	ζ	NOUN
american_scientific_journal-2675	212	14	ζ	ζ	PROPN
american_scientific_journal-2675	212	15	ϕ	ϕ	PROPN
american_scientific_journal-2675	212	16	ω	ω	NUM
american_scientific_journal-2675	212	17	ζ	ζ	NOUN
american_scientific_journal-2675	212	18	ζ	ζ	NOUN
american_scientific_journal-2675	212	19	−	−	PROPN
american_scientific_journal-2675	212	20	−	−	NOUN
american_scientific_journal-2675	212	21	−	−	PROPN
american_scientific_journal-2675	213	1	=	=	PUNCT
american_scientific_journal-2675	213	2	′	′	NUM
american_scientific_journal-2675	213	3	′=	′=	PROPN
american_scientific_journal-2675	213	4	−	−	PROPN
american_scientific_journal-2675	214	1	−	−	NOUN
american_scientific_journal-2675	214	2	−	−	PROPN
american_scientific_journal-2675	215	1	+	+	CCONJ
american_scientific_journal-2675	215	2	+	+	CCONJ
american_scientific_journal-2675	215	3	′	′	NUM
american_scientific_journal-2675	215	4	−∑	−∑	PROPN
american_scientific_journal-2675	215	5	.	.	PUNCT
american_scientific_journal-2675	216	1	(	(	PUNCT
american_scientific_journal-2675	216	2	5.4	5.4	NUM
american_scientific_journal-2675	216	3	)	)	PUNCT
american_scientific_journal-2675	216	4	the	the	DET
american_scientific_journal-2675	216	5	previous	previous	ADJ
american_scientific_journal-2675	216	6	discussing	discussing	NOUN
american_scientific_journal-2675	216	7	give	give	VERB
american_scientific_journal-2675	216	8	the	the	DET
american_scientific_journal-2675	216	9	solutions	solution	NOUN
american_scientific_journal-2675	216	10	of	of	ADP
american_scientific_journal-2675	216	11	first	first	ADJ
american_scientific_journal-2675	216	12	boundary	boundary	ADJ
american_scientific_journal-2675	216	13	value	value	NOUN
american_scientific_journal-2675	216	14	problem	problem	NOUN
american_scientific_journal-2675	216	15	when	when	SCONJ
american_scientific_journal-2675	216	16	the	the	DET
american_scientific_journal-2675	216	17	edge	edge	NOUN
american_scientific_journal-2675	216	18	of	of	ADP
american_scientific_journal-2675	216	19	hole	hole	NOUN
american_scientific_journal-2675	216	20	is	be	AUX
american_scientific_journal-2675	216	21	subject	subject	ADJ
american_scientific_journal-2675	216	22	to	to	ADP
american_scientific_journal-2675	216	23	a	a	DET
american_scientific_journal-2675	216	24	uniform	uniform	ADJ
american_scientific_journal-2675	216	25	pressure	pressure	NOUN
american_scientific_journal-2675	216	26	p	p	NOUN
american_scientific_journal-2675	216	27	.	.	PUNCT
american_scientific_journal-2675	217	1	for	for	ADP
american_scientific_journal-2675	217	2	3.01	3.01	NUM
american_scientific_journal-2675	217	3	=	=	NOUN
american_scientific_journal-2675	217	4	n	n	NUM
american_scientific_journal-2675	217	5	,	,	PUNCT
american_scientific_journal-2675	217	6	2	2	NUM
american_scientific_journal-2675	217	7	0.25n	0.25n	NOUN
american_scientific_journal-2675	217	8	=	=	X
american_scientific_journal-2675	217	9	,	,	PUNCT
american_scientific_journal-2675	217	10	1	1	NUM
american_scientific_journal-2675	217	11	1	1	NUM
american_scientific_journal-2675	217	12	m	m	NOUN
american_scientific_journal-2675	217	13	=	=	PUNCT
american_scientific_journal-2675	217	14	,	,	PUNCT
american_scientific_journal-2675	217	15	2	2	NUM
american_scientific_journal-2675	217	16	0.01	0.01	NUM
american_scientific_journal-2675	217	17	m	m	NOUN
american_scientific_journal-2675	217	18	=	=	SYM
american_scientific_journal-2675	217	19	−	−	PROPN
american_scientific_journal-2675	217	20	,	,	PUNCT
american_scientific_journal-2675	217	21	0.25.p	0.25.p	NUM
american_scientific_journal-2675	217	22	=	=	PUNCT
american_scientific_journal-2675	217	23	figure	figure	NOUN
american_scientific_journal-2675	217	24	7	7	NUM
american_scientific_journal-2675	217	25	from	from	ADP
american_scientific_journal-2675	217	26	figure	figure	NOUN
american_scientific_journal-2675	217	27	7	7	NUM
american_scientific_journal-2675	217	28	,	,	PUNCT
american_scientific_journal-2675	217	29	we	we	PRON
american_scientific_journal-2675	217	30	have	have	VERB
american_scientific_journal-2675	217	31	0xxσ	0xxσ	PROPN
american_scientific_journal-2675	217	32	>	>	X
american_scientific_journal-2675	218	1	at	at	ADP
american_scientific_journal-2675	218	2	0.38	0.38	NUM
american_scientific_journal-2675	218	3	1.1	1.1	NUM
american_scientific_journal-2675	218	4	,	,	PUNCT
american_scientific_journal-2675	218	5	1.4	1.4	NUM
american_scientific_journal-2675	218	6	1.53π	1.53π	NUM
american_scientific_journal-2675	218	7	θ	θ	NOUN
american_scientific_journal-2675	218	8	π	π	PUNCT
american_scientific_journal-2675	218	9	π	π	X
american_scientific_journal-2675	218	10	θ	θ	PROPN
american_scientific_journal-2675	218	11	π	π	PUNCT
american_scientific_journal-2675	218	12			PROPN
american_scientific_journal-2675	218	13			PROPN
american_scientific_journal-2675	218	14			NOUN
american_scientific_journal-2675	218	15	and	and	CCONJ
american_scientific_journal-2675	218	16	1.656	1.656	NUM
american_scientific_journal-2675	218	17	2π	2π	NUM
american_scientific_journal-2675	218	18	θ	θ	PROPN
american_scientific_journal-2675	218	19	π	π	PUNCT
american_scientific_journal-2675	218	20			ADJ
american_scientific_journal-2675	218	21	.	.	PUNCT
american_scientific_journal-2675	219	1	0yyσ	0yyσ	NUM
american_scientific_journal-2675	219	2	>	>	X
american_scientific_journal-2675	219	3	at	at	ADP
american_scientific_journal-2675	219	4	0	0	NUM
american_scientific_journal-2675	219	5	0.38	0.38	NUM
american_scientific_journal-2675	219	6	1.53	1.53	NUM
american_scientific_journal-2675	220	1	1.72andθ	1.72andθ	PROPN
american_scientific_journal-2675	220	2	π	π	X
american_scientific_journal-2675	220	3	π	π	X
american_scientific_journal-2675	220	4	θ	θ	PROPN
american_scientific_journal-2675	220	5	π	π	PUNCT
american_scientific_journal-2675	220	6			PROPN
american_scientific_journal-2675	220	7			PROPN
american_scientific_journal-2675	220	8			NOUN
american_scientific_journal-2675	220	9	.	.	PUNCT
american_scientific_journal-2675	221	1	0xyσ	0xyσ	NOUN
american_scientific_journal-2675	221	2	>	>	X
american_scientific_journal-2675	222	1	at	at	ADP
american_scientific_journal-2675	222	2	0	0	NUM
american_scientific_journal-2675	222	3	0.16	0.16	NUM
american_scientific_journal-2675	222	4	,	,	PUNCT
american_scientific_journal-2675	222	5	0.828	0.828	NUM
american_scientific_journal-2675	222	6	1.274	1.274	NUM
american_scientific_journal-2675	222	7	,	,	PUNCT
american_scientific_journal-2675	222	8	θ	θ	PROPN
american_scientific_journal-2675	222	9	π	π	PUNCT
american_scientific_journal-2675	222	10	π	π	X
american_scientific_journal-2675	222	11	θ	θ	PROPN
american_scientific_journal-2675	222	12	π	π	PUNCT
american_scientific_journal-2675	222	13			PROPN
american_scientific_journal-2675	222	14			PROPN
american_scientific_journal-2675	222	15			PROPN
american_scientific_journal-2675	222	16	1.4	1.4	NUM
american_scientific_journal-2675	222	17	1.656π	1.656π	NUM
american_scientific_journal-2675	222	18	θ	θ	PROPN
american_scientific_journal-2675	222	19	π	π	PUNCT
american_scientific_journal-2675	222	20			ADJ
american_scientific_journal-2675	222	21	and	and	CCONJ
american_scientific_journal-2675	222	22	1.75	1.75	NUM
american_scientific_journal-2675	222	23	2π	2π	NUM
american_scientific_journal-2675	222	24	θ	θ	PROPN
american_scientific_journal-2675	222	25	π	π	PUNCT
american_scientific_journal-2675	222	26			PROPN
american_scientific_journal-2675	222	27	.	.	PUNCT
american_scientific_journal-2675	223	1	yy	yy	PROPN
american_scientific_journal-2675	223	2	xx	xx	NUM
american_scientific_journal-2675	223	3	σ	σ	PROPN
american_scientific_journal-2675	223	4	σmax	σmax	NOUN
american_scientific_journal-2675	223	5	at	at	ADP
american_scientific_journal-2675	223	6	1.17θ	1.17θ	NUM
american_scientific_journal-2675	223	7	π≈	π≈	NOUN
american_scientific_journal-2675	223	8	.	.	PUNCT
american_scientific_journal-2675	224	1	xx	xx	NUM
american_scientific_journal-2675	224	2	yy	yy	PROPN
american_scientific_journal-2675	224	3	σ	σ	PROPN
american_scientific_journal-2675	224	4	σmax	σmax	NOUN
american_scientific_journal-2675	224	5	at	at	ADP
american_scientific_journal-2675	224	6	1.40127θ	1.40127θ	NUM
american_scientific_journal-2675	224	7	π≈	π≈	NOUN
american_scientific_journal-2675	224	8	.	.	PUNCT
american_scientific_journal-2675	225	1	in	in	ADP
american_scientific_journal-2675	225	2	figure	figure	NOUN
american_scientific_journal-2675	225	3	(	(	PUNCT
american_scientific_journal-2675	225	4	8)	8)	NUM
american_scientific_journal-2675	225	5	,	,	PUNCT
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american_scientific_journal-2675	225	7	deduce	deduce	VERB
american_scientific_journal-2675	225	8	that	that	PRON
american_scientific_journal-2675	225	9	:	:	PUNCT
american_scientific_journal-2675	225	10	xxσ	xxσ	X
american_scientific_journal-2675	225	11	>	>	X
american_scientific_journal-2675	225	12	0	0	PUNCT
american_scientific_journal-2675	226	1	at	at	ADP
american_scientific_journal-2675	226	2	0.38	0.38	NUM
american_scientific_journal-2675	226	3	1.1	1.1	NUM
american_scientific_journal-2675	226	4	,	,	PUNCT
american_scientific_journal-2675	226	5	1.4	1.4	NUM
american_scientific_journal-2675	226	6	1.53π	1.53π	NUM
american_scientific_journal-2675	226	7	θ	θ	NOUN
american_scientific_journal-2675	226	8	π	π	PUNCT
american_scientific_journal-2675	226	9	π	π	X
american_scientific_journal-2675	226	10	θ	θ	PROPN
american_scientific_journal-2675	226	11	π	π	PUNCT
american_scientific_journal-2675	226	12			PROPN
american_scientific_journal-2675	226	13			PROPN
american_scientific_journal-2675	226	14			NOUN
american_scientific_journal-2675	226	15	and	and	CCONJ
american_scientific_journal-2675	226	16	1.656	1.656	NUM
american_scientific_journal-2675	226	17	2	2	NUM
american_scientific_journal-2675	226	18	.π	.π	NOUN
american_scientific_journal-2675	226	19	θ	θ	NOUN
american_scientific_journal-2675	226	20	π	π	PUNCT
american_scientific_journal-2675	226	21			PROPN
american_scientific_journal-2675	226	22	also	also	ADV
american_scientific_journal-2675	226	23	,	,	PUNCT
american_scientific_journal-2675	226	24	yyσ	yyσ	INTJ
american_scientific_journal-2675	226	25	.	.	PUNCT
american_scientific_journal-2675	226	26	>	>	X
american_scientific_journal-2675	226	27	0	0	PUNCT
american_scientific_journal-2675	227	1	at	at	ADP
american_scientific_journal-2675	227	2	0	0	NUM
american_scientific_journal-2675	227	3	0.38	0.38	NUM
american_scientific_journal-2675	227	4	1.53	1.53	NUM
american_scientific_journal-2675	227	5	1.72andθ	1.72andθ	PROPN
american_scientific_journal-2675	227	6	π	π	X
american_scientific_journal-2675	227	7	π	π	X
american_scientific_journal-2675	227	8	θ	θ	PROPN
american_scientific_journal-2675	227	9	π	π	PUNCT
american_scientific_journal-2675	227	10			PROPN
american_scientific_journal-2675	227	11			PROPN
american_scientific_journal-2675	227	12			NOUN
american_scientific_journal-2675	227	13	.	.	PUNCT
american_scientific_journal-2675	228	1	finally	finally	ADV
american_scientific_journal-2675	228	2	,	,	PUNCT
american_scientific_journal-2675	228	3	xyσ	xyσ	PROPN
american_scientific_journal-2675	228	4	>	>	X
american_scientific_journal-2675	228	5	0	0	PUNCT
american_scientific_journal-2675	229	1	at	at	ADP
american_scientific_journal-2675	229	2	0.828	0.828	NUM
american_scientific_journal-2675	229	3	1.274	1.274	NUM
american_scientific_journal-2675	229	4	;	;	PUNCT
american_scientific_journal-2675	229	5	π	π	PROPN
american_scientific_journal-2675	229	6	θ	θ	PROPN
american_scientific_journal-2675	229	7	π	π	PUNCT
american_scientific_journal-2675	229	8			PROPN
american_scientific_journal-2675	229	9	1.4	1.4	NUM
american_scientific_journal-2675	229	10	1.656	1.656	NUM
american_scientific_journal-2675	229	11	;	;	PUNCT
american_scientific_journal-2675	229	12	π	π	PROPN
american_scientific_journal-2675	229	13	θ	θ	PROPN
american_scientific_journal-2675	229	14	π	π	PUNCT
american_scientific_journal-2675	229	15			PROPN
american_scientific_journal-2675	229	16	1.4	1.4	NUM
american_scientific_journal-2675	229	17	1.656π	1.656π	NUM
american_scientific_journal-2675	229	18	θ	θ	PROPN
american_scientific_journal-2675	229	19	π	π	PUNCT
american_scientific_journal-2675	229	20			ADJ
american_scientific_journal-2675	229	21	and	and	CCONJ
american_scientific_journal-2675	229	22	1.75	1.75	NUM
american_scientific_journal-2675	229	23	2π	2π	NUM
american_scientific_journal-2675	229	24	θ	θ	PROPN
american_scientific_journal-2675	229	25	π	π	PUNCT
american_scientific_journal-2675	229	26			PROPN
american_scientific_journal-2675	229	27	.	.	PUNCT
american_scientific_journal-2675	230	1	yy	yy	PROPN
american_scientific_journal-2675	230	2	xx	xx	NUM
american_scientific_journal-2675	230	3	σ	σ	PROPN
american_scientific_journal-2675	230	4	σmax	σmax	NOUN
american_scientific_journal-2675	230	5	at	at	ADP
american_scientific_journal-2675	230	6	1.52866θ	1.52866θ	PROPN
american_scientific_journal-2675	230	7	π≈	π≈	PROPN
american_scientific_journal-2675	230	8	.	.	PUNCT
american_scientific_journal-2675	231	1	xx	xx	NUM
american_scientific_journal-2675	231	2	yy	yy	PROPN
american_scientific_journal-2675	231	3	σ	σ	PROPN
american_scientific_journal-2675	231	4	σmax	σmax	NOUN
american_scientific_journal-2675	231	5	at	at	ADP
american_scientific_journal-2675	231	6	1.0987θ	1.0987θ	PROPN
american_scientific_journal-2675	231	7	π≈	π≈	NOUN
american_scientific_journal-2675	231	8	.	.	PUNCT
american_scientific_journal-2675	232	1	σ	σ	NOUN
american_scientific_journal-2675	232	2	+	+	PUNCT
american_scientific_journal-2675	233	1	+	+	NUM
american_scientific_journal-2675	233	2	xyσ	xyσ	NOUN
american_scientific_journal-2675	234	1	_	_	PUNCT
american_scientific_journal-2675	235	1	_	_	PUNCT
american_scientific_journal-2675	235	2	_	_	PUNCT
american_scientific_journal-2675	236	1	yyσ	yyσ	PUNCT
american_scientific_journal-2675	237	1	_	_	PUNCT
american_scientific_journal-2675	237	2	_	_	PUNCT
american_scientific_journal-2675	237	3	xxσ	xxσ	PROPN
american_scientific_journal-2675	238	1	appl.2	appl.2	PROPN
american_scientific_journal-2675	238	2	.	.	PROPN
american_scientific_journal-2675	239	1	of	of	ADP
american_scientific_journal-2675	239	2	components	component	NOUN
american_scientific_journal-2675	239	3	essstr	essstr	PROPN
american_scientific_journal-2675	239	4	case1	case1	PROPN
american_scientific_journal-2675	239	5	:	:	PUNCT
american_scientific_journal-2675	239	6	214	214	NUM
american_scientific_journal-2675	239	7	-	-	SYM
american_scientific_journal-2675	239	8	201	201	NUM
american_scientific_journal-2675	239	9	,	,	PUNCT
american_scientific_journal-2675	239	10	no	no	DET
american_scientific_journal-2675	239	11	1	1	NUM
american_scientific_journal-2675	239	12	,	,	PUNCT
american_scientific_journal-2675	239	13	pp	pp	ADV
american_scientific_journal-2675	239	14	82	82	NUM
american_scientific_journal-2675	239	15	)	)	PUNCT
american_scientific_journal-2675	239	16	volume	volume	NOUN
american_scientific_journal-2675	239	17	2017	2017	NUM
american_scientific_journal-2675	239	18	(	(	PUNCT
american_scientific_journal-2675	239	19	)	)	PUNCT
american_scientific_journal-2675	239	20	research	research	NOUN
american_scientific_journal-2675	239	21	journal	journal	NOUN
american_scientific_journal-2675	239	22	for	for	ADP
american_scientific_journal-2675	239	23	engineering	engineering	NOUN
american_scientific_journal-2675	239	24	,	,	PUNCT
american_scientific_journal-2675	239	25	technology	technology	NOUN
american_scientific_journal-2675	239	26	,	,	PUNCT
american_scientific_journal-2675	239	27	and	and	CCONJ
american_scientific_journal-2675	239	28	sciences	science	NOUN
american_scientific_journal-2675	239	29	(	(	PUNCT
american_scientific_journal-2675	239	30	asrjets	asrjet	NOUN
american_scientific_journal-2675	239	31	american	american	ADJ
american_scientific_journal-2675	239	32	scientific	scientific	ADJ
american_scientific_journal-2675	239	33	211	211	NUM
american_scientific_journal-2675	239	34	figure	figure	NOUN
american_scientific_journal-2675	239	35	8	8	NUM
american_scientific_journal-2675	239	36	application	application	NOUN
american_scientific_journal-2675	239	37	3	3	NUM
american_scientific_journal-2675	239	38	:	:	PUNCT
american_scientific_journal-2675	239	39	the	the	DET
american_scientific_journal-2675	239	40	external	external	ADJ
american_scientific_journal-2675	239	41	force	force	NOUN
american_scientific_journal-2675	239	42	acts	act	VERB
american_scientific_journal-2675	239	43	on	on	ADP
american_scientific_journal-2675	239	44	the	the	DET
american_scientific_journal-2675	239	45	center	center	NOUN
american_scientific_journal-2675	239	46	of	of	ADP
american_scientific_journal-2675	239	47	the	the	DET
american_scientific_journal-2675	239	48	curvilinear	curvilinear	NOUN
american_scientific_journal-2675	239	49	.	.	PUNCT
american_scientific_journal-2675	240	1	when	when	SCONJ
american_scientific_journal-2675	240	2	,	,	PUNCT
american_scientific_journal-2675	240	3	,	,	PUNCT
american_scientific_journal-2675	240	4	0,k	0,k	NUM
american_scientific_journal-2675	240	5	k	k	PROPN
american_scientific_journal-2675	240	6	f∗=	f∗=	PROPN
american_scientific_journal-2675	240	7	γ	γ	NOUN
american_scientific_journal-2675	240	8	=	=	SYM
american_scientific_journal-2675	240	9	γ	γ	X
american_scientific_journal-2675	240	10	=	=	PUNCT
american_scientific_journal-2675	240	11	=	=	NOUN
american_scientific_journal-2675	240	12	we	we	PRON
american_scientific_journal-2675	240	13	have	have	VERB
american_scientific_journal-2675	240	14	2	2	NUM
american_scientific_journal-2675	240	15	22	22	NUM
american_scientific_journal-2675	240	16	2	2	NUM
american_scientific_journal-2675	240	17	2	2	NUM
american_scientific_journal-2675	240	18	2	2	NUM
american_scientific_journal-2675	240	19	2	2	NUM
american_scientific_journal-2675	240	20	2	2	NUM
american_scientific_journal-2675	240	21	2	2	NUM
american_scientific_journal-2675	240	22	1	1	NUM
american_scientific_journal-2675	240	23	(	(	PUNCT
american_scientific_journal-2675	240	24	)	)	PUNCT
american_scientific_journal-2675	240	25	1	1	NUM
american_scientific_journal-2675	240	26	(	(	PUNCT
american_scientific_journal-2675	240	27	)	)	PUNCT
american_scientific_journal-2675	240	28	(	(	PUNCT
american_scientific_journal-2675	240	29	1	1	NUM
american_scientific_journal-2675	240	30	(	(	PUNCT
american_scientific_journal-2675	240	31	)	)	PUNCT
american_scientific_journal-2675	240	32	)	)	PUNCT
american_scientific_journal-2675	240	33	2	2	NUM
american_scientific_journal-2675	240	34	(	(	PUNCT
american_scientific_journal-2675	240	35	1	1	NUM
american_scientific_journal-2675	240	36	)	)	PUNCT
american_scientific_journal-2675	240	37	(	(	PUNCT
american_scientific_journal-2675	240	38	)	)	PUNCT
american_scientific_journal-2675	240	39	(	(	PUNCT
american_scientific_journal-2675	240	40	)	)	PUNCT
american_scientific_journal-2675	240	41	(	(	PUNCT
american_scientific_journal-2675	240	42	)	)	PUNCT
american_scientific_journal-2675	241	1	j	j	PROPN
american_scientific_journal-2675	242	1	j	j	PROPN
american_scientific_journal-2675	242	2	j	j	PROPN
american_scientific_journal-2675	242	3	j	j	PROPN
american_scientific_journal-2675	242	4	x	x	VERB
american_scientific_journal-2675	243	1	y	y	PROPN
american_scientific_journal-2675	243	2	j	j	PROPN
american_scientific_journal-2675	243	3	j	j	PROPN
american_scientific_journal-2675	243	4	x	x	X
american_scientific_journal-2675	244	1	y	y	PROPN
american_scientific_journal-2675	244	2	j	j	PROPN
american_scientific_journal-2675	245	1	j	j	PROPN
american_scientific_journal-2675	245	2	j	j	PROPN
american_scientific_journal-2675	246	1	j	j	PROPN
american_scientific_journal-2675	246	2	j	j	PROPN
american_scientific_journal-2675	247	1	j	j	PROPN
american_scientific_journal-2675	247	2	h	h	PROPN
american_scientific_journal-2675	248	1	n	n	PROPN
american_scientific_journal-2675	248	2	kh	kh	PROPN
american_scientific_journal-2675	248	3	d	d	PROPN
american_scientific_journal-2675	248	4	s	s	PROPN
american_scientific_journal-2675	248	5	is	be	AUX
american_scientific_journal-2675	248	6	h	h	NOUN
american_scientific_journal-2675	249	1	d	d	X
american_scientific_journal-2675	249	2	k	k	PROPN
american_scientific_journal-2675	249	3	s	s	X
american_scientific_journal-2675	249	4	is	be	AUX
american_scientific_journal-2675	249	5	k	k	PROPN
american_scientific_journal-2675	249	6	n	n	CCONJ
american_scientific_journal-2675	249	7	k	k	NOUN
american_scientific_journal-2675	249	8	h	h	NOUN
american_scientific_journal-2675	250	1	d	d	PROPN
american_scientific_journal-2675	250	2	k	k	PROPN
american_scientific_journal-2675	250	3	h	h	PROPN
american_scientific_journal-2675	251	1	d	d	X
american_scientific_journal-2675	251	2	ϕ	ϕ	X
american_scientific_journal-2675	251	3	ζ	ζ	PROPN
american_scientific_journal-2675	251	4	π	π	X
american_scientific_journal-2675	251	5	ζ=	ζ=	ADJ
american_scientific_journal-2675	251	6			PROPN
american_scientific_journal-2675	251	7	+	+	CCONJ
american_scientific_journal-2675	251	8	−	−	ADJ
american_scientific_journal-2675	251	9	=	=	PUNCT
american_scientific_journal-2675	251	10	−	−	PROPN
american_scientific_journal-2675	252	1	+	+	CCONJ
american_scientific_journal-2675	252	2	−	−	NUM
american_scientific_journal-2675	252	3	+	+	CCONJ
american_scientific_journal-2675	252	4	−	−	PROPN
american_scientific_journal-2675	252	5	−	−	PROPN
american_scientific_journal-2675	252	6	−	−	PROPN
american_scientific_journal-2675	252	7			NOUN
american_scientific_journal-2675	252	8			PROPN
american_scientific_journal-2675	252	9	∑	∑	PROPN
american_scientific_journal-2675	252	10	,	,	PUNCT
american_scientific_journal-2675	252	11	(	(	PUNCT
american_scientific_journal-2675	252	12	5.5	5.5	NUM
american_scientific_journal-2675	252	13	)	)	PUNCT
american_scientific_journal-2675	252	14	1	1	NUM
american_scientific_journal-2675	252	15	2	2	NUM
american_scientific_journal-2675	252	16	1	1	NUM
american_scientific_journal-2675	252	17	1	1	NUM
american_scientific_journal-2675	252	18	(	(	PUNCT
american_scientific_journal-2675	252	19	)	)	PUNCT
american_scientific_journal-2675	252	20	(	(	PUNCT
american_scientific_journal-2675	252	21	)	)	PUNCT
american_scientific_journal-2675	252	22	(	(	PUNCT
american_scientific_journal-2675	252	23	)	)	PUNCT
american_scientific_journal-2675	252	24	(	(	PUNCT
american_scientific_journal-2675	252	25	)	)	PUNCT
american_scientific_journal-2675	252	26	(	(	PUNCT
american_scientific_journal-2675	252	27	)	)	PUNCT
american_scientific_journal-2675	252	28	1	1	NUM
american_scientific_journal-2675	252	29	j	j	PROPN
american_scientific_journal-2675	252	30	j	j	PROPN
american_scientific_journal-2675	252	31	j	j	PROPN
american_scientific_journal-2675	252	32	j	j	PROPN
american_scientific_journal-2675	252	33	h	h	PROPN
american_scientific_journal-2675	252	34	n	n	CCONJ
american_scientific_journal-2675	252	35	n	n	ADV
american_scientific_journal-2675	252	36	ζω	ζω	NOUN
american_scientific_journal-2675	252	37	ζψ	ζψ	ADP
american_scientific_journal-2675	252	38	ζ	ζ	PROPN
american_scientific_journal-2675	252	39	ϕ	ϕ	PROPN
american_scientific_journal-2675	252	40	ζ	ζ	PROPN
american_scientific_journal-2675	252	41	ϕ	ϕ	PROPN
american_scientific_journal-2675	252	42	ω	ω	NUM
american_scientific_journal-2675	252	43	ζ	ζ	NOUN
american_scientific_journal-2675	252	44	ζ	ζ	NOUN
american_scientific_journal-2675	252	45	−	−	NOUN
american_scientific_journal-2675	252	46	−	−	NOUN
american_scientific_journal-2675	252	47	∗	∗	NOUN
american_scientific_journal-2675	252	48	∗	∗	NOUN
american_scientific_journal-2675	252	49	=	=	PUNCT
american_scientific_journal-2675	252	50	=	=	PUNCT
american_scientific_journal-2675	253	1	−	−	PROPN
american_scientific_journal-2675	254	1	+	+	CCONJ
american_scientific_journal-2675	254	2	′	′	NUM
american_scientific_journal-2675	254	3	−∑	−∑	PROPN
american_scientific_journal-2675	254	4	,	,	PUNCT
american_scientific_journal-2675	254	5	(	(	PUNCT
american_scientific_journal-2675	254	6	5.6	5.6	NUM
american_scientific_journal-2675	254	7	)	)	PUNCT
american_scientific_journal-2675	254	8	where	where	SCONJ
american_scientific_journal-2675	254	9	,	,	PUNCT
american_scientific_journal-2675	254	10	1	1	NUM
american_scientific_journal-2675	254	11	(	(	PUNCT
american_scientific_journal-2675	254	12	)	)	PUNCT
american_scientific_journal-2675	254	13	(	(	PUNCT
american_scientific_journal-2675	254	14	)	)	PUNCT
american_scientific_journal-2675	254	15	2	2	NUM
american_scientific_journal-2675	254	16	(	(	PUNCT
american_scientific_journal-2675	254	17	1	1	NUM
american_scientific_journal-2675	254	18	)	)	PUNCT
american_scientific_journal-2675	254	19	x	x	SYM
american_scientific_journal-2675	254	20	ys	ys	PROPN
american_scientific_journal-2675	254	21	is	be	AUX
american_scientific_journal-2675	254	22	k	k	PROPN
american_scientific_journal-2675	254	23	ϕ	ϕ	PROPN
american_scientific_journal-2675	254	24	ζ	ζ	PROPN
american_scientific_journal-2675	254	25	ϕ	ϕ	PROPN
american_scientific_journal-2675	254	26	ζ	ζ	NOUN
american_scientific_journal-2675	254	27	ζ	ζ	NOUN
american_scientific_journal-2675	254	28	π	π	NOUN
american_scientific_journal-2675	254	29	−	−	NOUN
american_scientific_journal-2675	254	30	∗	∗	NOUN
american_scientific_journal-2675	254	31	+	+	CCONJ
american_scientific_journal-2675	254	32	′=	′=	PROPN
american_scientific_journal-2675	254	33	−	−	PROPN
american_scientific_journal-2675	255	1	+	+	CCONJ
american_scientific_journal-2675	255	2	.	.	PUNCT
american_scientific_journal-2675	256	1	(	(	PUNCT
american_scientific_journal-2675	256	2	5.7	5.7	NUM
american_scientific_journal-2675	256	3	)	)	PUNCT
american_scientific_journal-2675	256	4	the	the	DET
american_scientific_journal-2675	256	5	last	last	ADJ
american_scientific_journal-2675	256	6	application	application	NOUN
american_scientific_journal-2675	256	7	gives	give	VERB
american_scientific_journal-2675	256	8	the	the	DET
american_scientific_journal-2675	256	9	solution	solution	NOUN
american_scientific_journal-2675	256	10	of	of	ADP
american_scientific_journal-2675	256	11	the	the	DET
american_scientific_journal-2675	256	12	second	second	ADJ
american_scientific_journal-2675	256	13	fundamental	fundamental	ADJ
american_scientific_journal-2675	256	14	bvp	bvp	NOUN
american_scientific_journal-2675	256	15	in	in	ADP
american_scientific_journal-2675	256	16	the	the	DET
american_scientific_journal-2675	256	17	presence	presence	NOUN
american_scientific_journal-2675	256	18	of	of	ADP
american_scientific_journal-2675	256	19	temperature	temperature	NOUN
american_scientific_journal-2675	256	20	around	around	ADP
american_scientific_journal-2675	256	21	the	the	DET
american_scientific_journal-2675	256	22	edge	edge	NOUN
american_scientific_journal-2675	256	23	of	of	ADP
american_scientific_journal-2675	256	24	the	the	DET
american_scientific_journal-2675	256	25	hole	hole	NOUN
american_scientific_journal-2675	256	26	.	.	PUNCT
american_scientific_journal-2675	257	1	the	the	DET
american_scientific_journal-2675	257	2	force	force	NOUN
american_scientific_journal-2675	257	3	acts	act	VERB
american_scientific_journal-2675	257	4	on	on	ADP
american_scientific_journal-2675	257	5	the	the	DET
american_scientific_journal-2675	257	6	center	center	NOUN
american_scientific_journal-2675	257	7	of	of	ADP
american_scientific_journal-2675	257	8	the	the	DET
american_scientific_journal-2675	257	9	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	257	10	hole	hole	NOUN
american_scientific_journal-2675	257	11	.	.	PUNCT
american_scientific_journal-2675	258	1	for	for	ADP
american_scientific_journal-2675	258	2	1	1	NUM
american_scientific_journal-2675	258	3	0.3n	0.3n	NOUN
american_scientific_journal-2675	258	4	=	=	PRON
american_scientific_journal-2675	258	5	,	,	PUNCT
american_scientific_journal-2675	258	6	2	2	NUM
american_scientific_journal-2675	258	7	0.25n	0.25n	NOUN
american_scientific_journal-2675	258	8	=	=	X
american_scientific_journal-2675	258	9	,	,	PUNCT
american_scientific_journal-2675	258	10	1	1	NUM
american_scientific_journal-2675	258	11	1	1	NUM
american_scientific_journal-2675	258	12	m	m	NOUN
american_scientific_journal-2675	258	13	=	=	PUNCT
american_scientific_journal-2675	258	14	,	,	PUNCT
american_scientific_journal-2675	258	15	2	2	NUM
american_scientific_journal-2675	258	16	0.01	0.01	NUM
american_scientific_journal-2675	258	17	m	m	NOUN
american_scientific_journal-2675	258	18	=	=	NOUN
american_scientific_journal-2675	258	19	−	−	NOUN
american_scientific_journal-2675	258	20	,	,	PUNCT
american_scientific_journal-2675	258	21	0.25p	0.25p	NUM
american_scientific_journal-2675	258	22	=	=	SYM
american_scientific_journal-2675	258	23	,	,	PUNCT
american_scientific_journal-2675	258	24	the	the	DET
american_scientific_journal-2675	258	25	stress	stress	NOUN
american_scientific_journal-2675	258	26	components	component	NOUN
american_scientific_journal-2675	258	27	xxσ	xxσ	PROPN
american_scientific_journal-2675	258	28	,	,	PUNCT
american_scientific_journal-2675	258	29	yyσ	yyσ	PROPN
american_scientific_journal-2675	258	30	and	and	CCONJ
american_scientific_journal-2675	258	31	xyσ	xyσ	PROPN
american_scientific_journal-2675	258	32	are	be	AUX
american_scientific_journal-2675	258	33	obtained	obtain	VERB
american_scientific_journal-2675	258	34	in	in	ADP
american_scientific_journal-2675	258	35	large	large	ADJ
american_scientific_journal-2675	258	36	forms	form	NOUN
american_scientific_journal-2675	258	37	calculated	calculate	VERB
american_scientific_journal-2675	258	38	by	by	ADP
american_scientific_journal-2675	258	39	computer	computer	NOUN
american_scientific_journal-2675	258	40	and	and	CCONJ
american_scientific_journal-2675	258	41	illustrated	illustrate	VERB
american_scientific_journal-2675	258	42	in	in	ADP
american_scientific_journal-2675	258	43	figures	figure	NOUN
american_scientific_journal-2675	258	44	(	(	PUNCT
american_scientific_journal-2675	258	45	9	9	NUM
american_scientific_journal-2675	258	46	)	)	PUNCT
american_scientific_journal-2675	258	47	and	and	CCONJ
american_scientific_journal-2675	258	48	(	(	PUNCT
american_scientific_journal-2675	258	49	10	10	NUM
american_scientific_journal-2675	258	50	)	)	PUNCT
american_scientific_journal-2675	258	51	.	.	PUNCT
american_scientific_journal-2675	259	1	in	in	ADP
american_scientific_journal-2675	259	2	figure	figure	NOUN
american_scientific_journal-2675	259	3	(	(	PUNCT
american_scientific_journal-2675	259	4	9	9	NUM
american_scientific_journal-2675	259	5	):	):	PUNCT
american_scientific_journal-2675	259	6	xxσ	xxσ	X
american_scientific_journal-2675	259	7	positive	positive	ADJ
american_scientific_journal-2675	259	8	at	at	ADP
american_scientific_journal-2675	259	9	0	0	NUM
american_scientific_journal-2675	259	10	1.7197θ	1.7197θ	PROPN
american_scientific_journal-2675	259	11	π	π	PUNCT
american_scientific_journal-2675	259	12			PROPN
american_scientific_journal-2675	259	13	.	.	PUNCT
american_scientific_journal-2675	260	1	yyσ	yyσ	INTJ
american_scientific_journal-2675	260	2	at	at	ADP
american_scientific_journal-2675	260	3	0.828	0.828	NUM
american_scientific_journal-2675	260	4	0.9554θ	0.9554θ	NOUN
american_scientific_journal-2675	260	5	π	π	PUNCT
american_scientific_journal-2675	260	6			ADJ
american_scientific_journal-2675	260	7	and	and	CCONJ
american_scientific_journal-2675	260	8	1.7197π	1.7197π	PROPN
american_scientific_journal-2675	260	9	θ	θ	PROPN
american_scientific_journal-2675	260	10	1.91π	1.91π	NUM
american_scientific_journal-2675	260	11	.	.	PUNCT
american_scientific_journal-2675	261	1	xyσ	xyσ	PROPN
american_scientific_journal-2675	262	1	at	at	ADP
american_scientific_journal-2675	262	2	0	0	NUM
american_scientific_journal-2675	262	3	0.1274	0.1274	NUM
american_scientific_journal-2675	262	4	,	,	PUNCT
american_scientific_journal-2675	262	5	θ	θ	PROPN
american_scientific_journal-2675	262	6	π	π	NUM
american_scientific_journal-2675	262	7			PROPN
american_scientific_journal-2675	262	8	1.91θ	1.91θ	PROPN
american_scientific_journal-2675	262	9	π	π	NUM
american_scientific_journal-2675	262	10	.	.	PUNCT
american_scientific_journal-2675	263	1	max	max	PROPN
american_scientific_journal-2675	263	2	xx	xx	NUM
american_scientific_journal-2675	263	3	yy	yy	PROPN
american_scientific_journal-2675	263	4	σ	σ	PROPN
american_scientific_journal-2675	263	5	σ	σ	PROPN
american_scientific_journal-2675	263	6	at	at	ADP
american_scientific_journal-2675	263	7	σ	σ	PROPN
american_scientific_journal-2675	263	8	1	1	NUM
american_scientific_journal-2675	263	9	02	02	NUM
american_scientific_journal-2675	263	10	,	,	PUNCT
american_scientific_journal-2675	263	11	0.1	0.1	NUM
american_scientific_journal-2675	263	12	,	,	PUNCT
american_scientific_journal-2675	263	13	0.75	0.75	NUM
american_scientific_journal-2675	263	14	,	,	PUNCT
american_scientific_journal-2675	263	15	0.7	0.7	NUM
american_scientific_journal-2675	263	16	,	,	PUNCT
american_scientific_journal-2675	263	17	1	1	NUM
american_scientific_journal-2675	263	18	g	g	NOUN
american_scientific_journal-2675	263	19	t	t	NOUN
american_scientific_journal-2675	263	20	r	r	NOUN
american_scientific_journal-2675	263	21	α	α	NOUN
american_scientific_journal-2675	263	22	ν=	ν=	NOUN
american_scientific_journal-2675	263	23	=	=	SYM
american_scientific_journal-2675	263	24	=	=	PUNCT
american_scientific_journal-2675	263	25	=	=	PUNCT
american_scientific_journal-2675	263	26	=	=	PUNCT
american_scientific_journal-2675	264	1	+	+	PUNCT
american_scientific_journal-2675	265	1	+	+	NUM
american_scientific_journal-2675	265	2	xyσ	xyσ	NOUN
american_scientific_journal-2675	266	1	_	_	PUNCT
american_scientific_journal-2675	267	1	_	_	PUNCT
american_scientific_journal-2675	267	2	_	_	PUNCT
american_scientific_journal-2675	268	1	yyσ	yyσ	X
american_scientific_journal-2675	269	1	_	_	PUNCT
american_scientific_journal-2675	270	1	_	_	PUNCT
american_scientific_journal-2675	271	1	_	_	PUNCT
american_scientific_journal-2675	272	1	xxσappl.2	xxσappl.2	PROPN
american_scientific_journal-2675	272	2	of	of	ADP
american_scientific_journal-2675	272	3	thermoelastic	thermoelastic	ADJ
american_scientific_journal-2675	272	4	2	2	NUM
american_scientific_journal-2675	272	5	:	:	PUNCT
american_scientific_journal-2675	272	6	case	case	NOUN
american_scientific_journal-2675	272	7	214	214	NUM
american_scientific_journal-2675	272	8	-	-	SYM
american_scientific_journal-2675	272	9	201	201	NUM
american_scientific_journal-2675	272	10	,	,	PUNCT
american_scientific_journal-2675	272	11	no	no	DET
american_scientific_journal-2675	272	12	1	1	NUM
american_scientific_journal-2675	272	13	,	,	PUNCT
american_scientific_journal-2675	272	14	pp	pp	ADV
american_scientific_journal-2675	272	15	82	82	NUM
american_scientific_journal-2675	272	16	)	)	PUNCT
american_scientific_journal-2675	272	17	volume	volume	NOUN
american_scientific_journal-2675	272	18	2017	2017	NUM
american_scientific_journal-2675	272	19	(	(	PUNCT
american_scientific_journal-2675	272	20	)	)	PUNCT
american_scientific_journal-2675	272	21	research	research	NOUN
american_scientific_journal-2675	272	22	journal	journal	NOUN
american_scientific_journal-2675	272	23	for	for	ADP
american_scientific_journal-2675	272	24	engineering	engineering	NOUN
american_scientific_journal-2675	272	25	,	,	PUNCT
american_scientific_journal-2675	272	26	technology	technology	NOUN
american_scientific_journal-2675	272	27	,	,	PUNCT
american_scientific_journal-2675	272	28	and	and	CCONJ
american_scientific_journal-2675	272	29	sciences	science	NOUN
american_scientific_journal-2675	272	30	(	(	PUNCT
american_scientific_journal-2675	272	31	asrjets	asrjet	NOUN
american_scientific_journal-2675	272	32	american	american	ADJ
american_scientific_journal-2675	272	33	scientific	scientific	ADJ
american_scientific_journal-2675	272	34	212	212	NUM
american_scientific_journal-2675	272	35	0.98726θ	0.98726θ	PROPN
american_scientific_journal-2675	272	36	π≈	π≈	NOUN
american_scientific_journal-2675	272	37	.	.	PUNCT
american_scientific_journal-2675	273	1	max	max	PROPN
american_scientific_journal-2675	273	2	yy	yy	PROPN
american_scientific_journal-2675	273	3	xx	xx	NUM
american_scientific_journal-2675	273	4	σ	σ	PROPN
american_scientific_journal-2675	273	5	σ	σ	PROPN
american_scientific_journal-2675	273	6	at	at	ADP
american_scientific_journal-2675	273	7	1.9745θ	1.9745θ	PROPN
american_scientific_journal-2675	273	8	π≈	π≈	NOUN
american_scientific_journal-2675	273	9	.in	.in	PUNCT
american_scientific_journal-2675	273	10	the	the	DET
american_scientific_journal-2675	273	11	thermoelastic	thermoelastic	ADJ
american_scientific_journal-2675	273	12	plate	plate	NOUN
american_scientific_journal-2675	273	13	,	,	PUNCT
american_scientific_journal-2675	273	14	we	we	PRON
american_scientific_journal-2675	273	15	have	have	VERB
american_scientific_journal-2675	273	16	the	the	DET
american_scientific_journal-2675	273	17	shapes	shape	NOUN
american_scientific_journal-2675	273	18	of	of	ADP
american_scientific_journal-2675	273	19	figure(10	figure(10	ADJ
american_scientific_journal-2675	273	20	)	)	PUNCT
american_scientific_journal-2675	273	21	,	,	PUNCT
american_scientific_journal-2675	273	22	for	for	ADP
american_scientific_journal-2675	273	23	the	the	DET
american_scientific_journal-2675	273	24	stress	stress	NOUN
american_scientific_journal-2675	273	25	components	component	NOUN
american_scientific_journal-2675	273	26	by	by	ADP
american_scientific_journal-2675	273	27	using	use	VERB
american_scientific_journal-2675	273	28	the	the	DET
american_scientific_journal-2675	273	29	substitutions	substitution	NOUN
american_scientific_journal-2675	273	30	2	2	NUM
american_scientific_journal-2675	273	31	1	1	NUM
american_scientific_journal-2675	273	32	=	=	NOUN
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american_scientific_journal-2675	273	34	,	,	PUNCT
american_scientific_journal-2675	273	35	1.0	1.0	NUM
american_scientific_journal-2675	273	36	=	=	SYM
american_scientific_journal-2675	273	37	q	q	NOUN
american_scientific_journal-2675	273	38	,	,	PUNCT
american_scientific_journal-2675	273	39	75.00	75.00	NUM
american_scientific_journal-2675	273	40	=	=	NOUN
american_scientific_journal-2675	273	41	r	r	NOUN
american_scientific_journal-2675	273	42	,	,	PUNCT
american_scientific_journal-2675	273	43	7.0	7.0	NUM
american_scientific_journal-2675	273	44	=	=	SYM
american_scientific_journal-2675	273	45	α	α	NOUN
american_scientific_journal-2675	273	46	,	,	PUNCT
american_scientific_journal-2675	273	47	1	1	NUM
american_scientific_journal-2675	273	48	=	=	SYM
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american_scientific_journal-2675	273	50	.	.	PUNCT
american_scientific_journal-2675	274	1	in	in	ADP
american_scientific_journal-2675	274	2	figure	figure	NOUN
american_scientific_journal-2675	274	3	(	(	PUNCT
american_scientific_journal-2675	274	4	10	10	NUM
american_scientific_journal-2675	274	5	)	)	PUNCT
american_scientific_journal-2675	274	6	xxσ	xxσ	X
american_scientific_journal-2675	274	7	>	>	X
american_scientific_journal-2675	274	8	0	0	PUNCT
american_scientific_journal-2675	275	1	at	at	ADP
american_scientific_journal-2675	275	2	0	0	NUM
american_scientific_journal-2675	275	3	1.7197	1.7197	NUM
american_scientific_journal-2675	275	4	.θ	.θ	NOUN
american_scientific_journal-2675	275	5	π	π	PUNCT
american_scientific_journal-2675	275	6			PROPN
american_scientific_journal-2675	275	7	0yyσ	0yyσ	PROPN
american_scientific_journal-2675	275	8	>	>	X
american_scientific_journal-2675	275	9	at	at	ADP
american_scientific_journal-2675	275	10	0.828	0.828	NUM
american_scientific_journal-2675	275	11	0.9554θ	0.9554θ	NOUN
american_scientific_journal-2675	275	12	π	π	PUNCT
american_scientific_journal-2675	275	13			NOUN
american_scientific_journal-2675	275	14	and	and	CCONJ
american_scientific_journal-2675	275	15	1.7197	1.7197	NUM
american_scientific_journal-2675	275	16	1.91π	1.91π	NUM
american_scientific_journal-2675	275	17	θ	θ	PROPN
american_scientific_journal-2675	275	18	π	π	PUNCT
american_scientific_journal-2675	275	19			ADJ
american_scientific_journal-2675	275	20	.	.	PUNCT
american_scientific_journal-2675	276	1	0xyσ	0xyσ	NUM
american_scientific_journal-2675	276	2	>	>	X
american_scientific_journal-2675	277	1	at	at	ADP
american_scientific_journal-2675	277	2	0	0	NUM
american_scientific_journal-2675	277	3	0.1274θ	0.1274θ	PROPN
american_scientific_journal-2675	277	4	π	π	NOUN
american_scientific_journal-2675	277	5			PROPN
american_scientific_journal-2675	277	6	and	and	CCONJ
american_scientific_journal-2675	277	7	1.91θ	1.91θ	NUM
american_scientific_journal-2675	277	8	π	π	NUM
american_scientific_journal-2675	277	9	.	.	PUNCT
american_scientific_journal-2675	278	1	max	max	PROPN
american_scientific_journal-2675	278	2	xx	xx	NUM
american_scientific_journal-2675	278	3	yy	yy	PROPN
american_scientific_journal-2675	278	4	σ	σ	PROPN
american_scientific_journal-2675	278	5	σ	σ	PROPN
american_scientific_journal-2675	278	6	at	at	ADP
american_scientific_journal-2675	278	7	0.9809θ	0.9809θ	PROPN
american_scientific_journal-2675	278	8	π≈	π≈	NOUN
american_scientific_journal-2675	278	9	.	.	PUNCT
american_scientific_journal-2675	279	1	max	max	PROPN
american_scientific_journal-2675	279	2	yy	yy	PROPN
american_scientific_journal-2675	279	3	xx	xx	NUM
american_scientific_journal-2675	279	4	σ	σ	PROPN
american_scientific_journal-2675	279	5	σ	σ	NOUN
american_scientific_journal-2675	279	6	at	at	ADP
american_scientific_journal-2675	279	7	1.9586θ	1.9586θ	NUM
american_scientific_journal-2675	279	8	π≈	π≈	NOUN
american_scientific_journal-2675	279	9	.	.	PUNCT
american_scientific_journal-2675	280	1	σ	σ	NOUN
american_scientific_journal-2675	280	2	+	+	PUNCT
american_scientific_journal-2675	281	1	+	+	PUNCT
american_scientific_journal-2675	281	2	+	+	NUM
american_scientific_journal-2675	281	3	xyσ	xyσ	NOUN
american_scientific_journal-2675	282	1	_	_	PUNCT
american_scientific_journal-2675	283	1	_	_	PUNCT
american_scientific_journal-2675	283	2	_	_	PUNCT
american_scientific_journal-2675	284	1	yyσ	yyσ	PUNCT
american_scientific_journal-2675	285	1	_	_	PUNCT
american_scientific_journal-2675	285	2	_	_	PUNCT
american_scientific_journal-2675	286	1	xxσ	xxσ	PROPN
american_scientific_journal-2675	287	1	appl.3	appl.3	PROPN
american_scientific_journal-2675	287	2	.	.	PROPN
american_scientific_journal-2675	288	1	of	of	ADP
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american_scientific_journal-2675	288	3	stress	stress	VERB
american_scientific_journal-2675	288	4	case1	case1	NOUN
american_scientific_journal-2675	288	5	:	:	PUNCT
american_scientific_journal-2675	288	6	.	.	PUNCT
american_scientific_journal-2675	289	1	figure	figure	VERB
american_scientific_journal-2675	289	2	9	9	NUM
american_scientific_journal-2675	289	3	σ	σ	PROPN
american_scientific_journal-2675	289	4	1	1	NUM
american_scientific_journal-2675	289	5	02	02	NUM
american_scientific_journal-2675	289	6	,	,	PUNCT
american_scientific_journal-2675	289	7	0.1	0.1	NUM
american_scientific_journal-2675	289	8	,	,	PUNCT
american_scientific_journal-2675	289	9	0.75	0.75	NUM
american_scientific_journal-2675	289	10	,	,	PUNCT
american_scientific_journal-2675	289	11	0.7	0.7	NUM
american_scientific_journal-2675	289	12	,	,	PUNCT
american_scientific_journal-2675	289	13	1	1	NUM
american_scientific_journal-2675	289	14	g	g	NOUN
american_scientific_journal-2675	289	15	t	t	NOUN
american_scientific_journal-2675	289	16	r	r	NOUN
american_scientific_journal-2675	289	17	α	α	NOUN
american_scientific_journal-2675	289	18	ν=	ν=	NOUN
american_scientific_journal-2675	289	19	=	=	SYM
american_scientific_journal-2675	290	1	=	=	PUNCT
american_scientific_journal-2675	290	2	=	=	PUNCT
american_scientific_journal-2675	290	3	=	=	PUNCT
american_scientific_journal-2675	291	1	+	+	PUNCT
american_scientific_journal-2675	292	1	+	+	NUM
american_scientific_journal-2675	292	2	xyσ	xyσ	NOUN
american_scientific_journal-2675	293	1	_	_	PUNCT
american_scientific_journal-2675	294	1	_	_	PUNCT
american_scientific_journal-2675	294	2	_	_	PUNCT
american_scientific_journal-2675	295	1	yyσ	yyσ	X
american_scientific_journal-2675	296	1	_	_	PUNCT
american_scientific_journal-2675	297	1	_	_	PUNCT
american_scientific_journal-2675	298	1	_	_	PUNCT
american_scientific_journal-2675	299	1	xxσappl.3	xxσappl.3	NOUN
american_scientific_journal-2675	299	2	of	of	ADP
american_scientific_journal-2675	299	3	thermoelastic	thermoelastic	ADJ
american_scientific_journal-2675	299	4	2	2	NUM
american_scientific_journal-2675	299	5	:	:	PUNCT
american_scientific_journal-2675	299	6	case	case	NOUN
american_scientific_journal-2675	299	7	figure	figure	NOUN
american_scientific_journal-2675	299	8	10	10	NUM
american_scientific_journal-2675	299	9	214	214	NUM
american_scientific_journal-2675	299	10	-	-	SYM
american_scientific_journal-2675	299	11	201	201	NUM
american_scientific_journal-2675	299	12	,	,	PUNCT
american_scientific_journal-2675	299	13	no	no	DET
american_scientific_journal-2675	299	14	1	1	NUM
american_scientific_journal-2675	299	15	,	,	PUNCT
american_scientific_journal-2675	299	16	pp	pp	ADV
american_scientific_journal-2675	299	17	82	82	NUM
american_scientific_journal-2675	299	18	)	)	PUNCT
american_scientific_journal-2675	299	19	volume	volume	NOUN
american_scientific_journal-2675	299	20	2017	2017	NUM
american_scientific_journal-2675	299	21	(	(	PUNCT
american_scientific_journal-2675	299	22	)	)	PUNCT
american_scientific_journal-2675	299	23	research	research	NOUN
american_scientific_journal-2675	299	24	journal	journal	NOUN
american_scientific_journal-2675	299	25	for	for	ADP
american_scientific_journal-2675	299	26	engineering	engineering	NOUN
american_scientific_journal-2675	299	27	,	,	PUNCT
american_scientific_journal-2675	299	28	technology	technology	NOUN
american_scientific_journal-2675	299	29	,	,	PUNCT
american_scientific_journal-2675	299	30	and	and	CCONJ
american_scientific_journal-2675	299	31	sciences	science	NOUN
american_scientific_journal-2675	299	32	(	(	PUNCT
american_scientific_journal-2675	299	33	asrjets	asrjet	NOUN
american_scientific_journal-2675	299	34	american	american	PROPN
american_scientific_journal-2675	299	35	scientific	scientific	ADJ
american_scientific_journal-2675	299	36	213	213	NUM
american_scientific_journal-2675	299	37	5	5	NUM
american_scientific_journal-2675	299	38	.	.	PUNCT
american_scientific_journal-2675	300	1	conclusion	conclusion	NOUN
american_scientific_journal-2675	300	2	from	from	ADP
american_scientific_journal-2675	300	3	the	the	DET
american_scientific_journal-2675	300	4	previous	previous	ADJ
american_scientific_journal-2675	300	5	discussions	discussion	NOUN
american_scientific_journal-2675	300	6	we	we	PRON
american_scientific_journal-2675	300	7	have	have	VERB
american_scientific_journal-2675	300	8	the	the	DET
american_scientific_journal-2675	300	9	following	follow	VERB
american_scientific_journal-2675	300	10	results	result	NOUN
american_scientific_journal-2675	300	11	(	(	PUNCT
american_scientific_journal-2675	300	12	i	i	NOUN
american_scientific_journal-2675	300	13	)	)	PUNCT
american_scientific_journal-2675	300	14	the	the	DET
american_scientific_journal-2675	300	15	solution	solution	NOUN
american_scientific_journal-2675	300	16	of	of	ADP
american_scientific_journal-2675	300	17	the	the	DET
american_scientific_journal-2675	300	18	bvps	bvps	NOUN
american_scientific_journal-2675	300	19	for	for	ADP
american_scientific_journal-2675	300	20	isotropic	isotropic	ADJ
american_scientific_journal-2675	300	21	homogeneous	homogeneous	ADJ
american_scientific_journal-2675	300	22	infinite	infinite	ADJ
american_scientific_journal-2675	300	23	elastic	elastic	ADJ
american_scientific_journal-2675	300	24	media	medium	NOUN
american_scientific_journal-2675	300	25	in	in	ADP
american_scientific_journal-2675	300	26	−z	−z	NOUN
american_scientific_journal-2675	300	27	plane	plane	NOUN
american_scientific_journal-2675	300	28	reduce	reduce	VERB
american_scientific_journal-2675	300	29	to	to	PART
american_scientific_journal-2675	300	30	obtain	obtain	VERB
american_scientific_journal-2675	300	31	the	the	DET
american_scientific_journal-2675	300	32	two	two	NUM
american_scientific_journal-2675	300	33	complex	complex	ADJ
american_scientific_journal-2675	300	34	potential	potential	ADJ
american_scientific_journal-2675	300	35	functions	function	NOUN
american_scientific_journal-2675	300	36	,	,	PUNCT
american_scientific_journal-2675	300	37	gaursat	gaursat	NOUN
american_scientific_journal-2675	300	38	functions	function	NOUN
american_scientific_journal-2675	300	39	,	,	PUNCT
american_scientific_journal-2675	300	40	in	in	ADP
american_scientific_journal-2675	300	41	−ζ	−ζ	PROPN
american_scientific_journal-2675	300	42	plane	plane	NOUN
american_scientific_journal-2675	300	43	by	by	ADP
american_scientific_journal-2675	300	44	using	use	VERB
american_scientific_journal-2675	300	45	conformal	conformal	ADJ
american_scientific_journal-2675	300	46	mapping	mapping	NOUN
american_scientific_journal-2675	300	47	.	.	PUNCT
american_scientific_journal-2675	301	1	(	(	PUNCT
american_scientific_journal-2675	301	2	)	)	PUNCT
american_scientific_journal-2675	301	3	,	,	PUNCT
american_scientific_journal-2675	301	4	0z	0z	PROPN
american_scientific_journal-2675	301	5	c	c	NOUN
american_scientific_journal-2675	301	6	cω	cω	PROPN
american_scientific_journal-2675	301	7	ζ=	ζ=	PROPN
american_scientific_journal-2675	301	8	>	>	X
american_scientific_journal-2675	301	9	,	,	PUNCT
american_scientific_journal-2675	301	10	where	where	SCONJ
american_scientific_journal-2675	301	11	(	(	PUNCT
american_scientific_journal-2675	301	12	)	)	PUNCT
american_scientific_journal-2675	301	13	0,ω	0,ω	VERB
american_scientific_journal-2675	301	14	ζ′	ζ′	ADV
american_scientific_journal-2675	301	15	≠	≠	PROPN
american_scientific_journal-2675	301	16	∞	∞	PROPN
american_scientific_journal-2675	301	17	,	,	PUNCT
american_scientific_journal-2675	301	18	for	for	ADP
american_scientific_journal-2675	301	19	1	1	NUM
american_scientific_journal-2675	301	20	>	>	SYM
american_scientific_journal-2675	301	21	ζ	ζ	NOUN
american_scientific_journal-2675	301	22	mapped	map	VERB
american_scientific_journal-2675	301	23	infinite	infinite	ADJ
american_scientific_journal-2675	301	24	region	region	NOUN
american_scientific_journal-2675	301	25	to	to	ADP
american_scientific_journal-2675	301	26	out	out	ADV
american_scientific_journal-2675	301	27	side	side	NOUN
american_scientific_journal-2675	301	28	a	a	DET
american_scientific_journal-2675	301	29	unit	unit	NOUN
american_scientific_journal-2675	301	30	circle	circle	NOUN
american_scientific_journal-2675	301	31	γ	γ	X
american_scientific_journal-2675	301	32	.	.	PUNCT
american_scientific_journal-2675	302	1	(	(	PUNCT
american_scientific_journal-2675	302	2	ii	ii	NOUN
american_scientific_journal-2675	302	3	)	)	PUNCT
american_scientific_journal-2675	302	4	after	after	ADP
american_scientific_journal-2675	302	5	applying	apply	VERB
american_scientific_journal-2675	302	6	the	the	DET
american_scientific_journal-2675	302	7	conformal	conformal	ADJ
american_scientific_journal-2675	302	8	mapping	mapping	NOUN
american_scientific_journal-2675	302	9	,	,	PUNCT
american_scientific_journal-2675	302	10	(	(	PUNCT
american_scientific_journal-2675	302	11	)	)	PUNCT
american_scientific_journal-2675	302	12	,	,	PUNCT
american_scientific_journal-2675	302	13	0z	0z	PROPN
american_scientific_journal-2675	302	14	c	c	NOUN
american_scientific_journal-2675	302	15	cω	cω	PROPN
american_scientific_journal-2675	302	16	ζ=	ζ=	X
american_scientific_journal-2675	302	17	>	>	ADP
american_scientific_journal-2675	302	18	the	the	DET
american_scientific_journal-2675	302	19	bvps	bvps	NOUN
american_scientific_journal-2675	302	20	reduce	reduce	VERB
american_scientific_journal-2675	302	21	to	to	ADP
american_scientific_journal-2675	302	22	an	an	DET
american_scientific_journal-2675	302	23	integrodifferential	integrodifferential	ADJ
american_scientific_journal-2675	302	24	equation	equation	NOUN
american_scientific_journal-2675	302	25	with	with	ADP
american_scientific_journal-2675	302	26	discontinuous	discontinuous	ADJ
american_scientific_journal-2675	302	27	kernel	kernel	NOUN
american_scientific_journal-2675	302	28	.	.	PUNCT
american_scientific_journal-2675	303	1	(	(	PUNCT
american_scientific_journal-2675	303	2	iii	iii	X
american_scientific_journal-2675	303	3	)	)	PUNCT
american_scientific_journal-2675	303	4	cauchy	cauchy	NOUN
american_scientific_journal-2675	303	5	method	method	NOUN
american_scientific_journal-2675	303	6	is	be	AUX
american_scientific_journal-2675	303	7	the	the	DET
american_scientific_journal-2675	303	8	best	good	ADJ
american_scientific_journal-2675	303	9	method	method	NOUN
american_scientific_journal-2675	303	10	to	to	ADP
american_scientific_journal-2675	303	11	solving	solve	VERB
american_scientific_journal-2675	303	12	the	the	DET
american_scientific_journal-2675	303	13	integro	integro	ADJ
american_scientific_journal-2675	303	14	-	-	PUNCT
american_scientific_journal-2675	303	15	differential	differential	NOUN
american_scientific_journal-2675	303	16	equation	equation	NOUN
american_scientific_journal-2675	303	17	with	with	ADP
american_scientific_journal-2675	303	18	cauchy	cauchy	ADJ
american_scientific_journal-2675	303	19	kernel	kernel	PROPN
american_scientific_journal-2675	303	20	and	and	CCONJ
american_scientific_journal-2675	303	21	obtaining	obtain	VERB
american_scientific_journal-2675	303	22	the	the	DET
american_scientific_journal-2675	303	23	two	two	NUM
american_scientific_journal-2675	303	24	complex	complex	ADJ
american_scientific_journal-2675	303	25	functions	function	NOUN
american_scientific_journal-2675	303	26	(	(	PUNCT
american_scientific_journal-2675	303	27	)	)	PUNCT
american_scientific_journal-2675	303	28	zϕ	zϕ	PROPN
american_scientific_journal-2675	303	29	and	and	CCONJ
american_scientific_journal-2675	303	30	(	(	PUNCT
american_scientific_journal-2675	303	31	)	)	PUNCT
american_scientific_journal-2675	303	32	zψ	zψ	PROPN
american_scientific_journal-2675	303	33	directly	directly	ADV
american_scientific_journal-2675	303	34	.	.	PUNCT
american_scientific_journal-2675	304	1	(	(	PUNCT
american_scientific_journal-2675	304	2	iv	iv	X
american_scientific_journal-2675	304	3	)	)	PUNCT
american_scientific_journal-2675	304	4	the	the	DET
american_scientific_journal-2675	304	5	components	component	NOUN
american_scientific_journal-2675	304	6	of	of	ADP
american_scientific_journal-2675	304	7	stress	stress	NOUN
american_scientific_journal-2675	304	8	,	,	PUNCT
american_scientific_journal-2675	304	9	xx	xx	NUM
american_scientific_journal-2675	304	10	yyσ	yyσ	PROPN
american_scientific_journal-2675	304	11	σ	σ	PROPN
american_scientific_journal-2675	304	12	and	and	CCONJ
american_scientific_journal-2675	304	13	xyσ	xyσ	NOUN
american_scientific_journal-2675	304	14	is	be	AUX
american_scientific_journal-2675	304	15	completely	completely	ADV
american_scientific_journal-2675	304	16	determine	determine	VERB
american_scientific_journal-2675	304	17	and	and	CCONJ
american_scientific_journal-2675	304	18	plotting	plot	VERB
american_scientific_journal-2675	304	19	after	after	ADP
american_scientific_journal-2675	304	20	obtaining	obtain	VERB
american_scientific_journal-2675	304	21	the	the	DET
american_scientific_journal-2675	304	22	two	two	NUM
american_scientific_journal-2675	304	23	complex	complex	ADJ
american_scientific_journal-2675	304	24	functions	function	NOUN
american_scientific_journal-2675	304	25	.	.	PUNCT
american_scientific_journal-2675	305	1	(	(	PUNCT
american_scientific_journal-2675	305	2	v	v	NOUN
american_scientific_journal-2675	305	3	)	)	PUNCT
american_scientific_journal-2675	305	4	as	as	ADP
american_scientific_journal-2675	305	5	a	a	DET
american_scientific_journal-2675	305	6	main	main	ADJ
american_scientific_journal-2675	305	7	result	result	NOUN
american_scientific_journal-2675	305	8	of	of	ADP
american_scientific_journal-2675	305	9	inserting	insert	VERB
american_scientific_journal-2675	305	10	the	the	DET
american_scientific_journal-2675	305	11	effect	effect	NOUN
american_scientific_journal-2675	305	12	of	of	ADP
american_scientific_journal-2675	305	13	temperature	temperature	NOUN
american_scientific_journal-2675	305	14	t	t	NOUN
american_scientific_journal-2675	305	15	around	around	ADP
american_scientific_journal-2675	305	16	the	the	DET
american_scientific_journal-2675	305	17	edge	edge	NOUN
american_scientific_journal-2675	305	18	of	of	ADP
american_scientific_journal-2675	305	19	the	the	DET
american_scientific_journal-2675	305	20	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	305	21	hole	hole	NOUN
american_scientific_journal-2675	305	22	we	we	PRON
american_scientific_journal-2675	305	23	have	have	VERB
american_scientific_journal-2675	305	24	,	,	PUNCT
american_scientific_journal-2675	305	25	max	max	PROPN
american_scientific_journal-2675	305	26	maxn	maxn	PROPN
american_scientific_journal-2675	306	1	h	h	NOUN
american_scientific_journal-2675	307	1	xy	xy	PROPN
american_scientific_journal-2675	307	2	xyσ	xyσ	PROPN
american_scientific_journal-2675	308	1	σ	σ	PROPN
american_scientific_journal-2675	308	2	>	>	X
american_scientific_journal-2675	308	3	and	and	CCONJ
american_scientific_journal-2675	308	4	min	min	PROPN
american_scientific_journal-2675	308	5	min	min	PROPN
american_scientific_journal-2675	308	6	.n	.n	PROPN
american_scientific_journal-2675	308	7	h	h	PROPN
american_scientific_journal-2675	309	1	xy	xy	PROPN
american_scientific_journal-2675	309	2	xyσ	xyσ	PROPN
american_scientific_journal-2675	310	1	σ	σ	X
american_scientific_journal-2675	310	2	<	<	X
american_scientific_journal-2675	310	3	where	where	SCONJ
american_scientific_journal-2675	310	4	,	,	PUNCT
american_scientific_journal-2675	310	5	n	n	PRON
american_scientific_journal-2675	310	6	xyσ	xyσ	PROPN
american_scientific_journal-2675	310	7	represent	represent	VERB
american_scientific_journal-2675	310	8	the	the	DET
american_scientific_journal-2675	310	9	shear	shear	NOUN
american_scientific_journal-2675	310	10	components	component	NOUN
american_scientific_journal-2675	310	11	of	of	ADP
american_scientific_journal-2675	310	12	stress	stress	NOUN
american_scientific_journal-2675	310	13	at	at	ADP
american_scientific_journal-2675	310	14	normal	normal	ADJ
american_scientific_journal-2675	310	15	state	state	NOUN
american_scientific_journal-2675	310	16	,	,	PUNCT
american_scientific_journal-2675	310	17	while	while	SCONJ
american_scientific_journal-2675	310	18	h	h	NOUN
american_scientific_journal-2675	310	19	xyσ	xyσ	PROPN
american_scientific_journal-2675	310	20	represent	represent	VERB
american_scientific_journal-2675	310	21	the	the	DET
american_scientific_journal-2675	310	22	shear	shear	NOUN
american_scientific_journal-2675	310	23	components	component	NOUN
american_scientific_journal-2675	310	24	of	of	ADP
american_scientific_journal-2675	310	25	stress	stress	NOUN
american_scientific_journal-2675	310	26	after	after	ADP
american_scientific_journal-2675	310	27	inserting	insert	VERB
american_scientific_journal-2675	310	28	the	the	DET
american_scientific_journal-2675	310	29	effect	effect	NOUN
american_scientific_journal-2675	310	30	of	of	ADP
american_scientific_journal-2675	310	31	heating	heating	NOUN
american_scientific_journal-2675	310	32	.	.	PUNCT
american_scientific_journal-2675	311	1	references	reference	NOUN
american_scientific_journal-2675	311	2	[	[	X
american_scientific_journal-2675	311	3	1	1	NUM
american_scientific_journal-2675	311	4	]	]	PUNCT
american_scientific_journal-2675	311	5	w.	w.	PROPN
american_scientific_journal-2675	311	6	xie	xie	PROPN
american_scientific_journal-2675	311	7	,	,	PUNCT
american_scientific_journal-2675	311	8	f.-r	f.-r	PROPN
american_scientific_journal-2675	311	9	.	.	PUNCT
american_scientific_journal-2675	312	1	lin	lin	PROPN
american_scientific_journal-2675	312	2	"	"	PUNCT
american_scientific_journal-2675	312	3	a	a	DET
american_scientific_journal-2675	312	4	fast	fast	ADJ
american_scientific_journal-2675	312	5	numerical	numerical	ADJ
american_scientific_journal-2675	312	6	solution	solution	NOUN
american_scientific_journal-2675	312	7	method	method	NOUN
american_scientific_journal-2675	312	8	for	for	ADP
american_scientific_journal-2675	312	9	two	two	NUM
american_scientific_journal-2675	312	10	dimensional	dimensional	ADJ
american_scientific_journal-2675	312	11	fredholm	fredholm	NOUN
american_scientific_journal-2675	312	12	integral	integral	ADJ
american_scientific_journal-2675	312	13	equations	equation	NOUN
american_scientific_journal-2675	312	14	of	of	ADP
american_scientific_journal-2675	312	15	the	the	DET
american_scientific_journal-2675	312	16	second	second	ADJ
american_scientific_journal-2675	312	17	kind	kind	NOUN
american_scientific_journal-2675	312	18	"	"	PUNCT
american_scientific_journal-2675	312	19	applied	apply	VERB
american_scientific_journal-2675	312	20	numerical	numerical	ADJ
american_scientific_journal-2675	312	21	mathematics	mathematics	PROPN
american_scientific_journal-2675	312	22	,	,	PUNCT
american_scientific_journal-2675	312	23	vol	vol	NOUN
american_scientific_journal-2675	312	24	.	.	PROPN
american_scientific_journal-2675	313	1	59	59	NUM
american_scientific_journal-2675	313	2	,	,	PUNCT
american_scientific_journal-2675	313	3	pp	pp	ADJ
american_scientific_journal-2675	313	4	1709	1709	NUM
american_scientific_journal-2675	313	5	-	-	SYM
american_scientific_journal-2675	313	6	1719	1719	NUM
american_scientific_journal-2675	313	7	,	,	PUNCT
american_scientific_journal-2675	313	8	2009	2009	NUM
american_scientific_journal-2675	313	9	.	.	PUNCT
american_scientific_journal-2675	314	1	[	[	X
american_scientific_journal-2675	314	2	2	2	NUM
american_scientific_journal-2675	314	3	]	]	PUNCT
american_scientific_journal-2675	314	4	a.	a.	NOUN
american_scientific_journal-2675	314	5	tari	tari	PROPN
american_scientific_journal-2675	314	6	,	,	PUNCT
american_scientific_journal-2675	314	7	m.	m.	NOUN
american_scientific_journal-2675	314	8	rahimi	rahimi	NOUN
american_scientific_journal-2675	314	9	,	,	PUNCT
american_scientific_journal-2675	314	10	s.	s.	PROPN
american_scientific_journal-2675	314	11	shahmorad	shahmorad	PROPN
american_scientific_journal-2675	314	12	,	,	PUNCT
american_scientific_journal-2675	314	13	f.	f.	PROPN
american_scientific_journal-2675	314	14	talati	talati	PROPN
american_scientific_journal-2675	314	15	"	"	PUNCT
american_scientific_journal-2675	314	16	solving	solve	VERB
american_scientific_journal-2675	314	17	a	a	DET
american_scientific_journal-2675	314	18	class	class	NOUN
american_scientific_journal-2675	314	19	of	of	ADP
american_scientific_journal-2675	314	20	two	two	NUM
american_scientific_journal-2675	314	21	-	-	PUNCT
american_scientific_journal-2675	314	22	dimensional	dimensional	ADJ
american_scientific_journal-2675	314	23	linear	linear	NOUN
american_scientific_journal-2675	314	24	and	and	CCONJ
american_scientific_journal-2675	314	25	nonlinear	nonlinear	ADJ
american_scientific_journal-2675	314	26	volterra	volterra	PROPN
american_scientific_journal-2675	314	27	integral	integral	ADJ
american_scientific_journal-2675	314	28	equations	equation	NOUN
american_scientific_journal-2675	314	29	by	by	ADP
american_scientific_journal-2675	314	30	the	the	DET
american_scientific_journal-2675	314	31	differential	differential	ADJ
american_scientific_journal-2675	314	32	transform	transform	NOUN
american_scientific_journal-2675	314	33	method	method	NOUN
american_scientific_journal-2675	314	34	"	"	PUNCT
american_scientific_journal-2675	314	35	journal	journal	NOUN
american_scientific_journal-2675	314	36	computational	computational	ADJ
american_scientific_journal-2675	314	37	applied	apply	VERB
american_scientific_journal-2675	314	38	mathematics	mathematic	NOUN
american_scientific_journal-2675	314	39	,	,	PUNCT
american_scientific_journal-2675	314	40	vol.228	vol.228	NOUN
american_scientific_journal-2675	314	41	,	,	PUNCT
american_scientific_journal-2675	314	42	pp	pp	ADV
american_scientific_journal-2675	314	43	70	70	NUM
american_scientific_journal-2675	314	44	-	-	SYM
american_scientific_journal-2675	314	45	76	76	NUM
american_scientific_journal-2675	314	46	,	,	PUNCT
american_scientific_journal-2675	314	47	2009	2009	NUM
american_scientific_journal-2675	314	48	.	.	PUNCT
american_scientific_journal-2675	315	1	[	[	X
american_scientific_journal-2675	315	2	3	3	X
american_scientific_journal-2675	315	3	]	]	X
american_scientific_journal-2675	315	4	s.	s.	PROPN
american_scientific_journal-2675	315	5	bazm	bazm	PROPN
american_scientific_journal-2675	315	6	,	,	PUNCT
american_scientific_journal-2675	315	7	e.	e.	PROPN
american_scientific_journal-2675	315	8	babolian	babolian	PROPN
american_scientific_journal-2675	315	9	"	"	PUNCT
american_scientific_journal-2675	315	10	numerical	numerical	ADJ
american_scientific_journal-2675	315	11	solution	solution	NOUN
american_scientific_journal-2675	315	12	of	of	ADP
american_scientific_journal-2675	315	13	nonlinear	nonlinear	ADJ
american_scientific_journal-2675	315	14	two	two	NUM
american_scientific_journal-2675	315	15	-	-	PUNCT
american_scientific_journal-2675	315	16	dimensional	dimensional	ADJ
american_scientific_journal-2675	315	17	fredholm	fredholm	ADJ
american_scientific_journal-2675	315	18	integral	integral	ADJ
american_scientific_journal-2675	315	19	equations	equation	NOUN
american_scientific_journal-2675	315	20	of	of	ADP
american_scientific_journal-2675	315	21	the	the	DET
american_scientific_journal-2675	315	22	second	second	ADJ
american_scientific_journal-2675	315	23	kind	kind	NOUN
american_scientific_journal-2675	315	24	using	use	VERB
american_scientific_journal-2675	315	25	gauss	gauss	ADJ
american_scientific_journal-2675	315	26	product	product	NOUN
american_scientific_journal-2675	315	27	quadrature	quadrature	NOUN
american_scientific_journal-2675	315	28	rules	rule	NOUN
american_scientific_journal-2675	315	29	"	"	PUNCT
american_scientific_journal-2675	315	30	communication	communication	NOUN
american_scientific_journal-2675	315	31	.	.	PUNCT
american_scientific_journal-2675	316	1	nonlinear	nonlinear	ADJ
american_scientific_journal-2675	316	2	science	science	PROPN
american_scientific_journal-2675	316	3	numerical	numerical	PROPN
american_scientific_journal-2675	316	4	.	.	PUNCT
american_scientific_journal-2675	317	1	simultaneous	simultaneous	ADJ
american_scientific_journal-2675	317	2	,	,	PUNCT
american_scientific_journal-2675	317	3	vol	vol	NOUN
american_scientific_journal-2675	317	4	.	.	PROPN
american_scientific_journal-2675	317	5	17	17	NUM
american_scientific_journal-2675	317	6	,	,	PUNCT
american_scientific_journal-2675	317	7	pp	pp	ADP
american_scientific_journal-2675	317	8	1215	1215	NUM
american_scientific_journal-2675	317	9	-	-	SYM
american_scientific_journal-2675	317	10	1223	1223	NUM
american_scientific_journal-2675	317	11	,	,	PUNCT
american_scientific_journal-2675	317	12	2012	2012	NUM
american_scientific_journal-2675	317	13	.	.	PUNCT
american_scientific_journal-2675	318	1	[	[	X
american_scientific_journal-2675	318	2	4	4	NUM
american_scientific_journal-2675	318	3	]	]	PUNCT
american_scientific_journal-2675	318	4	k.	k.	PROPN
american_scientific_journal-2675	318	5	malenknejad	malenknejad	PROPN
american_scientific_journal-2675	318	6	,	,	PUNCT
american_scientific_journal-2675	318	7	z.	z.	PROPN
american_scientific_journal-2675	318	8	jafaribehbahani	jafaribehbahani	PROPN
american_scientific_journal-2675	318	9	"	"	PUNCT
american_scientific_journal-2675	318	10	application	application	NOUN
american_scientific_journal-2675	318	11	of	of	ADP
american_scientific_journal-2675	318	12	two	two	NUM
american_scientific_journal-2675	318	13	-	-	PUNCT
american_scientific_journal-2675	318	14	dimensional	dimensional	ADJ
american_scientific_journal-2675	318	15	triangular	triangular	NOUN
american_scientific_journal-2675	318	16	functions	function	NOUN
american_scientific_journal-2675	318	17	for	for	ADP
american_scientific_journal-2675	318	18	solving	solve	VERB
american_scientific_journal-2675	318	19	nonlinear	nonlinear	ADJ
american_scientific_journal-2675	318	20	class	class	NOUN
american_scientific_journal-2675	318	21	of	of	ADP
american_scientific_journal-2675	318	22	mixed	mixed	ADJ
american_scientific_journal-2675	318	23	volterra	volterra	NOUN
american_scientific_journal-2675	318	24	-	-	PUNCT
american_scientific_journal-2675	318	25	fredholm	fredholm	NOUN
american_scientific_journal-2675	318	26	integral	integral	ADJ
american_scientific_journal-2675	318	27	equations	equation	NOUN
american_scientific_journal-2675	318	28	"	"	PUNCT
american_scientific_journal-2675	318	29	mathematical	mathematical	ADJ
american_scientific_journal-2675	318	30	.	.	PUNCT
american_scientific_journal-2675	319	1	computational	computational	ADJ
american_scientific_journal-2675	319	2	.	.	PUNCT
american_scientific_journal-2675	320	1	modeling	modeling	NOUN
american_scientific_journal-2675	320	2	"	"	PUNCT
american_scientific_journal-2675	320	3	,	,	PUNCT
american_scientific_journal-2675	320	4	vol.55,pp	vol.55,pp	X
american_scientific_journal-2675	320	5	1833	1833	NUM
american_scientific_journal-2675	320	6	-	-	SYM
american_scientific_journal-2675	320	7	1844	1844	NUM
american_scientific_journal-2675	320	8	,	,	PUNCT
american_scientific_journal-2675	320	9	2012	2012	NUM
american_scientific_journal-2675	320	10	.	.	PUNCT
american_scientific_journal-2675	321	1	[	[	X
american_scientific_journal-2675	321	2	5	5	X
american_scientific_journal-2675	321	3	]	]	PUNCT
american_scientific_journal-2675	321	4	m.	m.	NOUN
american_scientific_journal-2675	321	5	a.	a.	PROPN
american_scientific_journal-2675	321	6	abdou	abdou	PROPN
american_scientific_journal-2675	321	7	,	,	PUNCT
american_scientific_journal-2675	321	8	a.	a.	PROPN
american_scientific_journal-2675	321	9	a.	a.	PROPN
american_scientific_journal-2675	321	10	badr	badr	PROPN
american_scientific_journal-2675	321	11	,	,	PUNCT
american_scientific_journal-2675	321	12	m.	m.	PROPN
american_scientific_journal-2675	321	13	b.	b.	PROPN
american_scientific_journal-2675	321	14	soliman	soliman	PROPN
american_scientific_journal-2675	321	15	"	"	PUNCT
american_scientific_journal-2675	321	16	on	on	ADP
american_scientific_journal-2675	321	17	a	a	DET
american_scientific_journal-2675	321	18	method	method	NOUN
american_scientific_journal-2675	321	19	for	for	ADP
american_scientific_journal-2675	321	20	solving	solve	VERB
american_scientific_journal-2675	321	21	a	a	DET
american_scientific_journal-2675	321	22	two	two	NUM
american_scientific_journal-2675	321	23	dimensional	dimensional	ADJ
american_scientific_journal-2675	321	24	nonlinear	nonlinear	ADJ
american_scientific_journal-2675	321	25	214	214	NUM
american_scientific_journal-2675	321	26	-	-	SYM
american_scientific_journal-2675	321	27	201	201	NUM
american_scientific_journal-2675	321	28	,	,	PUNCT
american_scientific_journal-2675	321	29	no	no	DET
american_scientific_journal-2675	321	30	1	1	NUM
american_scientific_journal-2675	321	31	,	,	PUNCT
american_scientific_journal-2675	321	32	pp	pp	ADV
american_scientific_journal-2675	321	33	82	82	NUM
american_scientific_journal-2675	321	34	)	)	PUNCT
american_scientific_journal-2675	321	35	volume	volume	NOUN
american_scientific_journal-2675	321	36	2017	2017	NUM
american_scientific_journal-2675	321	37	(	(	PUNCT
american_scientific_journal-2675	321	38	)	)	PUNCT
american_scientific_journal-2675	321	39	research	research	NOUN
american_scientific_journal-2675	321	40	journal	journal	NOUN
american_scientific_journal-2675	321	41	for	for	ADP
american_scientific_journal-2675	321	42	engineering	engineering	NOUN
american_scientific_journal-2675	321	43	,	,	PUNCT
american_scientific_journal-2675	321	44	technology	technology	NOUN
american_scientific_journal-2675	321	45	,	,	PUNCT
american_scientific_journal-2675	321	46	and	and	CCONJ
american_scientific_journal-2675	321	47	sciences	science	NOUN
american_scientific_journal-2675	321	48	(	(	PUNCT
american_scientific_journal-2675	321	49	asrjets	asrjet	NOUN
american_scientific_journal-2675	321	50	american	american	ADJ
american_scientific_journal-2675	321	51	scientific	scientific	VERB
american_scientific_journal-2675	321	52	214	214	NUM
american_scientific_journal-2675	321	53	integral	integral	ADJ
american_scientific_journal-2675	321	54	equation	equation	NOUN
american_scientific_journal-2675	321	55	of	of	ADP
american_scientific_journal-2675	321	56	the	the	DET
american_scientific_journal-2675	321	57	second	second	ADJ
american_scientific_journal-2675	321	58	kind	kind	NOUN
american_scientific_journal-2675	321	59	"	"	PUNCT
american_scientific_journal-2675	321	60	journal	journal	NOUN
american_scientific_journal-2675	321	61	computational	computational	ADJ
american_scientific_journal-2675	321	62	applied	apply	VERB
american_scientific_journal-2675	321	63	mathematics	mathematic	NOUN
american_scientific_journal-2675	321	64	,	,	PUNCT
american_scientific_journal-2675	321	65	vol	vol	NOUN
american_scientific_journal-2675	321	66	235	235	NUM
american_scientific_journal-2675	322	1	pp	pp	NOUN
american_scientific_journal-2675	322	2	35893598,2011	35893598,2011	NUM
american_scientific_journal-2675	322	3	[	[	SYM
american_scientific_journal-2675	322	4	6	6	NUM
american_scientific_journal-2675	322	5	]	]	PUNCT
american_scientific_journal-2675	322	6	n.	n.	PROPN
american_scientific_journal-2675	322	7	i.	i.	PROPN
american_scientific_journal-2675	322	8	muskhelishvili	muskhelishvili	PROPN
american_scientific_journal-2675	322	9	.	.	PUNCT
american_scientific_journal-2675	323	1	some	some	DET
american_scientific_journal-2675	323	2	basic	basic	ADJ
american_scientific_journal-2675	323	3	problems	problem	NOUN
american_scientific_journal-2675	323	4	of	of	ADP
american_scientific_journal-2675	323	5	mathematical	mathematical	ADJ
american_scientific_journal-2675	323	6	theory	theory	NOUN
american_scientific_journal-2675	323	7	of	of	ADP
american_scientific_journal-2675	323	8	elasticity	elasticity	NOUN
american_scientific_journal-2675	323	9	.	.	PUNCT
american_scientific_journal-2675	324	1	noordroof	noordroof	PROPN
american_scientific_journal-2675	324	2	,	,	PUNCT
american_scientific_journal-2675	324	3	holland	holland	PROPN
american_scientific_journal-2675	324	4	,	,	PUNCT
american_scientific_journal-2675	324	5	1953pp250	1953pp250	NUM
american_scientific_journal-2675	324	6	-	-	SYM
american_scientific_journal-2675	324	7	254	254	NUM
american_scientific_journal-2675	325	1	[	[	X
american_scientific_journal-2675	325	2	7	7	X
american_scientific_journal-2675	325	3	]	]	X
american_scientific_journal-2675	325	4	r.b	r.b	PROPN
american_scientific_journal-2675	325	5	.	.	PROPN
american_scientific_journal-2675	325	6	hetnarski	hetnarski	PROPN
american_scientific_journal-2675	325	7	,	,	PUNCT
american_scientific_journal-2675	325	8	j.	j.	PROPN
american_scientific_journal-2675	325	9	ignaczak	ignaczak	PROPN
american_scientific_journal-2675	325	10	.	.	PUNCT
american_scientific_journal-2675	326	1	mathematical	mathematical	ADJ
american_scientific_journal-2675	326	2	theory	theory	NOUN
american_scientific_journal-2675	326	3	of	of	ADP
american_scientific_journal-2675	326	4	elasticity	elasticity	NOUN
american_scientific_journal-2675	326	5	.	.	PUNCT
american_scientific_journal-2675	327	1	taylor	taylor	PROPN
american_scientific_journal-2675	327	2	and	and	CCONJ
american_scientific_journal-2675	327	3	francis	francis	PROPN
american_scientific_journal-2675	327	4	,	,	PUNCT
american_scientific_journal-2675	327	5	2004	2004	NUM
american_scientific_journal-2675	327	6	pp176	pp176	NOUN
american_scientific_journal-2675	327	7	-	-	PUNCT
american_scientific_journal-2675	327	8	180	180	NUM
american_scientific_journal-2675	327	9	.	.	PUNCT
american_scientific_journal-2675	328	1	[	[	X
american_scientific_journal-2675	328	2	8	8	NUM
american_scientific_journal-2675	328	3	]	]	PUNCT
american_scientific_journal-2675	328	4	m.	m.	NOUN
american_scientific_journal-2675	328	5	a.	a.	PROPN
american_scientific_journal-2675	328	6	abdou	abdou	PROPN
american_scientific_journal-2675	328	7	,	,	PUNCT
american_scientific_journal-2675	328	8	s.	s.	PROPN
american_scientific_journal-2675	328	9	a.	a.	PROPN
american_scientific_journal-2675	328	10	asseri	asseri	PROPN
american_scientific_journal-2675	328	11	"	"	PUNCT
american_scientific_journal-2675	328	12	closed	close	VERB
american_scientific_journal-2675	328	13	forms	form	NOUN
american_scientific_journal-2675	328	14	of	of	ADP
american_scientific_journal-2675	328	15	gaursat	gaursat	ADJ
american_scientific_journal-2675	328	16	functions	function	NOUN
american_scientific_journal-2675	328	17	in	in	ADP
american_scientific_journal-2675	328	18	presence	presence	NOUN
american_scientific_journal-2675	328	19	of	of	ADP
american_scientific_journal-2675	328	20	heat	heat	NOUN
american_scientific_journal-2675	328	21	for	for	ADP
american_scientific_journal-2675	328	22	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	328	23	holes	hole	NOUN
american_scientific_journal-2675	328	24	"	"	PUNCT
american_scientific_journal-2675	328	25	journal	journal	NOUN
american_scientific_journal-2675	328	26	thermalstress	thermalstress	NOUN
american_scientific_journal-2675	328	27	vol	vol	NOUN
american_scientific_journal-2675	328	28	.	.	PUNCT
american_scientific_journal-2675	328	29	32:11pp1126	32:11pp1126	PROPN
american_scientific_journal-2675	328	30	-	-	SYM
american_scientific_journal-2675	328	31	1148,2009	1148,2009	NUM
american_scientific_journal-2675	328	32	.	.	PUNCT
american_scientific_journal-2675	329	1	[	[	X
american_scientific_journal-2675	329	2	9	9	NUM
american_scientific_journal-2675	329	3	]	]	PUNCT
american_scientific_journal-2675	329	4	m.	m.	NOUN
american_scientific_journal-2675	329	5	a.	a.	PROPN
american_scientific_journal-2675	329	6	abdou	abdou	PROPN
american_scientific_journal-2675	329	7	,	,	PUNCT
american_scientific_journal-2675	329	8	s.	s.	PROPN
american_scientific_journal-2675	329	9	a.	a.	PROPN
american_scientific_journal-2675	329	10	asseri	asseri	PROPN
american_scientific_journal-2675	329	11	"	"	PUNCT
american_scientific_journal-2675	329	12	gaursat	gaursat	VERB
american_scientific_journal-2675	329	13	functions	function	NOUN
american_scientific_journal-2675	329	14	for	for	ADP
american_scientific_journal-2675	329	15	an	an	DET
american_scientific_journal-2675	329	16	infinite	infinite	ADJ
american_scientific_journal-2675	329	17	plate	plate	NOUN
american_scientific_journal-2675	329	18	with	with	ADP
american_scientific_journal-2675	329	19	a	a	DET
american_scientific_journal-2675	329	20	generalized	generalized	ADJ
american_scientific_journal-2675	329	21	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	329	22	hole	hole	NOUN
american_scientific_journal-2675	329	23	in	in	ADP
american_scientific_journal-2675	329	24	zeta	zeta	PROPN
american_scientific_journal-2675	329	25	plane	plane	NOUN
american_scientific_journal-2675	329	26	"	"	PUNCT
american_scientific_journal-2675	329	27	applied	apply	VERB
american_scientific_journal-2675	329	28	mathematics	mathematics	NOUN
american_scientific_journal-2675	329	29	computational	computational	ADJ
american_scientific_journal-2675	329	30	"	"	PUNCT
american_scientific_journal-2675	329	31	vol	vol	NOUN
american_scientific_journal-2675	329	32	.	.	PUNCT
american_scientific_journal-2675	330	1	212	212	NUM
american_scientific_journal-2675	330	2	pp23	pp23	PROPN
american_scientific_journal-2675	330	3	-	-	PUNCT
american_scientific_journal-2675	330	4	36	36	NUM
american_scientific_journal-2675	330	5	,	,	PUNCT
american_scientific_journal-2675	330	6	2009	2009	NUM
american_scientific_journal-2675	330	7	.	.	PUNCT
american_scientific_journal-2675	331	1	[	[	X
american_scientific_journal-2675	331	2	10	10	NUM
american_scientific_journal-2675	331	3	]	]	X
american_scientific_journal-2675	331	4	m.a	m.a	PROPN
american_scientific_journal-2675	331	5	.	.	PROPN
american_scientific_journal-2675	331	6	abdou	abdou	PROPN
american_scientific_journal-2675	331	7	,	,	PUNCT
american_scientific_journal-2675	331	8	a.	a.	PROPN
american_scientific_journal-2675	331	9	r.	r.	PROPN
american_scientific_journal-2675	331	10	jaan	jaan	PROPN
american_scientific_journal-2675	332	1	"	"	PUNCT
american_scientific_journal-2675	332	2	an	an	DET
american_scientific_journal-2675	332	3	infinite	infinite	ADJ
american_scientific_journal-2675	332	4	elastic	elastic	ADJ
american_scientific_journal-2675	332	5	plate	plate	NOUN
american_scientific_journal-2675	332	6	weakened	weaken	VERB
american_scientific_journal-2675	332	7	by	by	ADP
american_scientific_journal-2675	332	8	a	a	DET
american_scientific_journal-2675	332	9	generalized	generalized	ADJ
american_scientific_journal-2675	332	10	curvilinear	curvilinear	ADJ
american_scientific_journal-2675	332	11	hole	hole	NOUN
american_scientific_journal-2675	332	12	and	and	CCONJ
american_scientific_journal-2675	332	13	gaursat	gaursat	NOUN
american_scientific_journal-2675	332	14	functions	function	NOUN
american_scientific_journal-2675	332	15	"	"	PUNCT
american_scientific_journal-2675	332	16	journal	journal	NOUN
american_scientific_journal-2675	332	17	of	of	ADP
american_scientific_journal-2675	332	18	.	.	PUNCT
american_scientific_journal-2675	333	1	applied	apply	VERB
american_scientific_journal-2675	333	2	mathematics	mathematic	NOUN
american_scientific_journal-2675	333	3	.	.	PUNCT
american_scientific_journal-2675	334	1	vol.5	vol.5	PROPN
american_scientific_journal-2675	334	2	,	,	PUNCT
american_scientific_journal-2675	334	3	5pp,428	5pp,428	NUM
american_scientific_journal-2675	334	4	-	-	SYM
american_scientific_journal-2675	334	5	443	443	NUM
american_scientific_journal-2675	334	6	,	,	PUNCT
american_scientific_journal-2675	334	7	2014	2014	NUM
american_scientific_journal-2675	334	8	[	[	X
american_scientific_journal-2675	334	9	11	11	NUM
american_scientific_journal-2675	334	10	]	]	X
american_scientific_journal-2675	334	11	a.i	a.i	PROPN
american_scientific_journal-2675	334	12	.	.	PROPN
american_scientific_journal-2675	334	13	kalandiya	kalandiya	PROPN
american_scientific_journal-2675	334	14	.	.	PUNCT
american_scientific_journal-2675	335	1	mathematical	mathematical	ADJ
american_scientific_journal-2675	335	2	method	method	NOUN
american_scientific_journal-2675	335	3	of	of	ADP
american_scientific_journal-2675	335	4	two	two	NUM
american_scientific_journal-2675	335	5	dimensional	dimensional	ADJ
american_scientific_journal-2675	335	6	elasticity	elasticity	NOUN
american_scientific_journal-2675	335	7	.	.	PUNCT
american_scientific_journal-2675	336	1	mirmoscow,1975pp	mirmoscow,1975pp	NOUN
american_scientific_journal-2675	336	2	135	135	NUM
american_scientific_journal-2675	336	3	-	-	SYM
american_scientific_journal-2675	336	4	137	137	NUM
american_scientific_journal-2675	337	1	[	[	X
american_scientific_journal-2675	337	2	12	12	NUM
american_scientific_journal-2675	337	3	]	]	X
american_scientific_journal-2675	337	4	g.	g.	PROPN
american_scientific_journal-2675	337	5	e.	e.	PROPN
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american_scientific_journal-2675	337	7	,	,	PUNCT
american_scientific_journal-2675	337	8	m.	m.	PROPN
american_scientific_journal-2675	337	9	c.	c.	PROPN
american_scientific_journal-2675	337	10	stavropoulos	stavropoulos	PROPN
american_scientific_journal-2675	337	11	.	.	PUNCT
american_scientific_journal-2675	337	12	"	"	PUNCT
american_scientific_journal-2675	338	1	a	a	DET
american_scientific_journal-2675	338	2	closed	closed	ADJ
american_scientific_journal-2675	338	3	form	form	NOUN
american_scientific_journal-2675	338	4	elastic	elastic	ADJ
american_scientific_journal-2675	338	5	solution	solution	NOUN
american_scientific_journal-2675	338	6	for	for	ADP
american_scientific_journal-2675	338	7	stress	stress	NOUN
american_scientific_journal-2675	338	8	and	and	CCONJ
american_scientific_journal-2675	338	9	displacement	displacement	NOUN
american_scientific_journal-2675	338	10	around	around	ADP
american_scientific_journal-2675	338	11	tunnels	tunnel	NOUN
american_scientific_journal-2675	338	12	"	"	PUNCT
american_scientific_journal-2675	338	13	.	.	PUNCT
american_scientific_journal-2675	339	1	international	international	ADJ
american_scientific_journal-2675	339	2	journal	journal	PROPN
american_scientific_journal-2675	339	3	of	of	ADP
american_scientific_journal-2675	339	4	rock	rock	NOUN
american_scientific_journal-2675	339	5	mechanics	mechanic	NOUN
american_scientific_journal-2675	339	6	of	of	ADP
american_scientific_journal-2675	339	7	mining	mining	NOUN
american_scientific_journal-2675	339	8	science	science	NOUN
american_scientific_journal-2675	339	9	.	.	PUNCT
american_scientific_journal-2675	340	1	vol	vol	NOUN
american_scientific_journal-2675	340	2	.	.	PUNCT
american_scientific_journal-2675	341	1	39	39	NUM
american_scientific_journal-2675	341	2	pp	pp	ADV
american_scientific_journal-2675	342	1	905	905	NUM
american_scientific_journal-2675	342	2	-	-	SYM
american_scientific_journal-2675	342	3	916	916	NUM
american_scientific_journal-2675	342	4	,	,	PUNCT
american_scientific_journal-2675	342	5	2002	2002	NUM
american_scientific_journal-2675	343	1	[	[	X
american_scientific_journal-2675	343	2	13	13	NUM
american_scientific_journal-2675	343	3	]	]	X
american_scientific_journal-2675	343	4	g.	g.	PROPN
american_scientific_journal-2675	343	5	e.	e.	PROPN
american_scientific_journal-2675	343	6	exadaktylos	exadaktylos	PROPN
american_scientific_journal-2675	343	7	,	,	PUNCT
american_scientific_journal-2675	343	8	p.	p.	NOUN
american_scientific_journal-2675	343	9	a.	a.	NOUN
american_scientific_journal-2675	343	10	liolios	liolio	NOUN
american_scientific_journal-2675	343	11	,	,	PUNCT
american_scientific_journal-2675	343	12	m.	m.	NOUN
american_scientific_journal-2675	343	13	c.	c.	PROPN
american_scientific_journal-2675	343	14	stavropoulos	stavropoulos	PROPN
american_scientific_journal-2675	343	15	.	.	PUNCT
american_scientific_journal-2675	344	1	"	"	PUNCT
american_scientific_journal-2675	344	2	a	a	DET
american_scientific_journal-2675	344	3	semi	semi	ADJ
american_scientific_journal-2675	344	4	-	-	ADJ
american_scientific_journal-2675	344	5	analytical	analytical	ADJ
american_scientific_journal-2675	344	6	elastic	elastic	ADJ
american_scientific_journal-2675	344	7	stress	stress	NOUN
american_scientific_journal-2675	344	8	-	-	PUNCT
american_scientific_journal-2675	344	9	displacement	displacement	ADJ
american_scientific_journal-2675	344	10	solution	solution	NOUN
american_scientific_journal-2675	344	11	for	for	ADP
american_scientific_journal-2675	344	12	notched	notch	VERB
american_scientific_journal-2675	344	13	circular	circular	ADJ
american_scientific_journal-2675	344	14	openings	opening	NOUN
american_scientific_journal-2675	344	15	in	in	ADP
american_scientific_journal-2675	344	16	rocks	rock	NOUN
american_scientific_journal-2675	344	17	"	"	PUNCT
american_scientific_journal-2675	344	18	.	.	PUNCT
american_scientific_journal-2675	345	1	international	international	ADJ
american_scientific_journal-2675	345	2	journal	journal	PROPN
american_scientific_journal-2675	345	3	of	of	ADP
american_scientific_journal-2675	345	4	solids	solid	NOUN
american_scientific_journal-2675	345	5	and	and	CCONJ
american_scientific_journal-2675	345	6	structures	structure	NOUN
american_scientific_journal-2675	345	7	.	.	PUNCT
american_scientific_journal-2675	346	1	vol	vol	NOUN
american_scientific_journal-2675	346	2	.	.	PUNCT
american_scientific_journal-2675	347	1	40,pp	40,pp	PRON
american_scientific_journal-2675	347	2	1165	1165	NUM
american_scientific_journal-2675	347	3	-	-	SYM
american_scientific_journal-2675	347	4	1187,2003	1187,2003	NUM
american_scientific_journal-2675	347	5	[	[	X
american_scientific_journal-2675	347	6	14	14	NUM
american_scientific_journal-2675	347	7	]	]	X
american_scientific_journal-2675	347	8	n.	n.	PROPN
american_scientific_journal-2675	347	9	noda	noda	PROPN
american_scientific_journal-2675	347	10	,	,	PUNCT
american_scientific_journal-2675	347	11	r.	r.	PROPN
american_scientific_journal-2675	347	12	b.	b.	PROPN
american_scientific_journal-2675	347	13	hentarski	hentarski	PROPN
american_scientific_journal-2675	347	14	,	,	PUNCT
american_scientific_journal-2675	347	15	y.	y.	PROPN
american_scientific_journal-2675	347	16	tanigowa	tanigowa	PROPN
american_scientific_journal-2675	347	17	.	.	PUNCT
american_scientific_journal-2675	348	1	"	"	PUNCT
american_scientific_journal-2675	348	2	thermal	thermal	ADJ
american_scientific_journal-2675	348	3	stresses	stress	NOUN
american_scientific_journal-2675	348	4	"	"	PUNCT
american_scientific_journal-2675	348	5	,	,	PUNCT
american_scientific_journal-2675	348	6	taylor	taylor	PROPN
american_scientific_journal-2675	348	7	and	and	CCONJ
american_scientific_journal-2675	348	8	francis	francis	PROPN
american_scientific_journal-2675	348	9	,	,	PUNCT
american_scientific_journal-2675	348	10	2003pp	2003pp	PROPN
american_scientific_journal-2675	348	11	101	101	NUM
american_scientific_journal-2675	348	12	-	-	SYM
american_scientific_journal-2675	348	13	103	103	NUM
american_scientific_journal-2675	348	14	[	[	X
american_scientific_journal-2675	348	15	15	15	NUM
american_scientific_journal-2675	348	16	]	]	X
american_scientific_journal-2675	348	17	r.	r.	NOUN
american_scientific_journal-2675	348	18	schinzinger	schinzinger	NOUN
american_scientific_journal-2675	348	19	,	,	PUNCT
american_scientific_journal-2675	348	20	p.	p.	NOUN
american_scientific_journal-2675	348	21	a.	a.	NOUN
american_scientific_journal-2675	348	22	laura	laura	PROPN
american_scientific_journal-2675	348	23	.	.	PUNCT
american_scientific_journal-2675	348	24	"	"	PUNCT
american_scientific_journal-2675	349	1	conformal	conformal	ADJ
american_scientific_journal-2675	349	2	mapping	mapping	NOUN
american_scientific_journal-2675	349	3	methods	method	NOUN
american_scientific_journal-2675	349	4	and	and	CCONJ
american_scientific_journal-2675	349	5	applications	application	NOUN
american_scientific_journal-2675	349	6	"	"	PUNCT
american_scientific_journal-2675	349	7	.	.	PUNCT
american_scientific_journal-2675	350	1	dover	dover	PROPN
american_scientific_journal-2675	350	2	publications	publication	NOUN
american_scientific_journal-2675	350	3	,	,	PUNCT
american_scientific_journal-2675	350	4	new	new	PROPN
american_scientific_journal-2675	350	5	york	york	PROPN
american_scientific_journal-2675	350	6	,	,	PUNCT
american_scientific_journal-2675	350	7	2003pp43	2003pp43	NUM
american_scientific_journal-2675	350	8	-	-	SYM
american_scientific_journal-2675	350	9	50	50	NUM
american_scientific_journal-2675	350	10	[	[	NOUN
american_scientific_journal-2675	350	11	16	16	NUM
american_scientific_journal-2675	350	12	]	]	PUNCT
american_scientific_journal-2675	350	13	h.	h.	NOUN
american_scientific_journal-2675	350	14	parkus	parkus	PROPN
american_scientific_journal-2675	350	15	.	.	PUNCT
american_scientific_journal-2675	351	1	"	"	PUNCT
american_scientific_journal-2675	351	2	thermoelasticity	thermoelasticity	NOUN
american_scientific_journal-2675	351	3	"	"	PUNCT
american_scientific_journal-2675	351	4	.	.	PUNCT
american_scientific_journal-2675	352	1	spring	spring	NOUN
american_scientific_journal-2675	352	2	-	-	PUNCT
american_scientific_journal-2675	352	3	verlag	verlag	PROPN
american_scientific_journal-2675	352	4	,	,	PUNCT
american_scientific_journal-2675	352	5	barlen	barlen	VERB
american_scientific_journal-2675	352	6	,	,	PUNCT
american_scientific_journal-2675	352	7	1976pp	1976pp	ADJ
american_scientific_journal-2675	352	8	20	20	NUM
american_scientific_journal-2675	352	9	-	-	SYM
american_scientific_journal-2675	352	10	24	24	NUM
american_scientific_journal-2675	352	11	.	.	PUNCT