id	sid	tid	token	lemma	pos
fumecheng-12969	1	1	12969	12969	NUM
fumecheng-12969	1	2	facta	facta	PROPN
fumecheng-12969	1	3	universitatis	universitatis	PROPN
fumecheng-12969	1	4	series	series	NOUN
fumecheng-12969	1	5	:	:	PUNCT
fumecheng-12969	1	6	mechanical	mechanical	ADJ
fumecheng-12969	1	7	engineering	engineering	NOUN
fumecheng-12969	1	8	vol	vol	NOUN
fumecheng-12969	1	9	.	.	PUNCT
fumecheng-12969	1	10	22	22	NUM
fumecheng-12969	1	11	,	,	PUNCT
fumecheng-12969	1	12	no	no	DET
fumecheng-12969	1	13	4	4	NUM
fumecheng-12969	1	14	,	,	PUNCT
fumecheng-12969	1	15	2024	2024	NUM
fumecheng-12969	1	16	,	,	PUNCT
fumecheng-12969	1	17	pp	pp	ADJ
fumecheng-12969	1	18	.	.	PUNCT
fumecheng-12969	2	1	673	673	NUM
fumecheng-12969	2	2	688	688	NUM
fumecheng-12969	2	3	https://doi.org/10.22190/fume240904048n	https://doi.org/10.22190/fume240904048n	PROPN
fumecheng-12969	2	4	©	©	ADP
fumecheng-12969	2	5	2024	2024	NUM
fumecheng-12969	2	6	by	by	ADP
fumecheng-12969	2	7	university	university	PROPN
fumecheng-12969	2	8	of	of	ADP
fumecheng-12969	2	9	niš	niš	PROPN
fumecheng-12969	2	10	,	,	PUNCT
fumecheng-12969	2	11	serbia	serbia	PROPN
fumecheng-12969	2	12	|	|	ADV
fumecheng-12969	2	13	creative	creative	ADJ
fumecheng-12969	2	14	commons	common	NOUN
fumecheng-12969	2	15	license	license	NOUN
fumecheng-12969	2	16	:	:	PUNCT
fumecheng-12969	2	17	cc	cc	VERB
fumecheng-12969	2	18	by	by	ADP
fumecheng-12969	2	19	-	-	PUNCT
fumecheng-12969	2	20	nc	nc	VERB
fumecheng-12969	2	21	-	-	PUNCT
fumecheng-12969	2	22	nd	nd	ADV
fumecheng-12969	2	23	original	original	ADJ
fumecheng-12969	2	24	scientific	scientific	ADJ
fumecheng-12969	2	25	paper	paper	NUM
fumecheng-12969	2	26	analysis	analysis	NOUN
fumecheng-12969	2	27	of	of	ADP
fumecheng-12969	2	28	nanobeam	nanobeam	NOUN
fumecheng-12969	2	29	-	-	PUNCT
fumecheng-12969	2	30	based	base	VERB
fumecheng-12969	2	31	microstructure	microstructure	NOUN
fumecheng-12969	2	32	in	in	ADP
fumecheng-12969	2	33	n	n	CCONJ
fumecheng-12969	2	34	/	/	SYM
fumecheng-12969	2	35	mems	mem	NOUN
fumecheng-12969	2	36	system	system	NOUN
fumecheng-12969	2	37	using	use	VERB
fumecheng-12969	2	38	van	van	PROPN
fumecheng-12969	2	39	der	der	ADJ
fumecheng-12969	2	40	waals	waal	NOUN
fumecheng-12969	2	41	forces	force	NOUN
fumecheng-12969	2	42	muhammad	muhammad	PROPN
fumecheng-12969	2	43	nadeem1	nadeem1	PROPN
fumecheng-12969	2	44	,	,	PUNCT
fumecheng-12969	2	45	qura	qura	NOUN
fumecheng-12969	2	46	-	-	ADJ
fumecheng-12969	2	47	tul	tul	NOUN
fumecheng-12969	2	48	ain2	ain2	PROPN
fumecheng-12969	2	49	,	,	PUNCT
fumecheng-12969	2	50	naif	naif	PROPN
fumecheng-12969	2	51	almakayeel3	almakayeel3	PROPN
fumecheng-12969	2	52	,	,	PUNCT
fumecheng-12969	2	53	yabin	yabin	PROPN
fumecheng-12969	2	54	shao4	shao4	PROPN
fumecheng-12969	2	55	,	,	PUNCT
fumecheng-12969	2	56	shuqiang	shuqiang	PROPN
fumecheng-12969	2	57	wang5	wang5	PROPN
fumecheng-12969	2	58	,	,	PUNCT
fumecheng-12969	2	59	meshal	meshal	NOUN
fumecheng-12969	2	60	shutaywi6	shutaywi6	NOUN
fumecheng-12969	2	61	1school	1school	NUM
fumecheng-12969	2	62	of	of	ADP
fumecheng-12969	2	63	mathematics	mathematic	NOUN
fumecheng-12969	2	64	and	and	CCONJ
fumecheng-12969	2	65	statistics	statistic	NOUN
fumecheng-12969	2	66	,	,	PUNCT
fumecheng-12969	2	67	qujing	quje	VERB
fumecheng-12969	2	68	normal	normal	ADJ
fumecheng-12969	2	69	university	university	NOUN
fumecheng-12969	2	70	,	,	PUNCT
fumecheng-12969	2	71	qujing	quje	VERB
fumecheng-12969	2	72	china	china	PROPN
fumecheng-12969	2	73	2institute	2institute	NUM
fumecheng-12969	2	74	of	of	ADP
fumecheng-12969	2	75	computing	compute	VERB
fumecheng-12969	2	76	science	science	NOUN
fumecheng-12969	2	77	and	and	CCONJ
fumecheng-12969	2	78	technology	technology	NOUN
fumecheng-12969	2	79	,	,	PUNCT
fumecheng-12969	2	80	guangzhou	guangzhou	PROPN
fumecheng-12969	2	81	university	university	PROPN
fumecheng-12969	2	82	,	,	PUNCT
fumecheng-12969	2	83	guangzhou	guangzhou	PROPN
fumecheng-12969	2	84	,	,	PUNCT
fumecheng-12969	2	85	china	china	PROPN
fumecheng-12969	2	86	3department	3department	NUM
fumecheng-12969	2	87	of	of	ADP
fumecheng-12969	2	88	industrial	industrial	ADJ
fumecheng-12969	2	89	engineering	engineering	NOUN
fumecheng-12969	2	90	,	,	PUNCT
fumecheng-12969	2	91	college	college	NOUN
fumecheng-12969	2	92	of	of	ADP
fumecheng-12969	2	93	engineering	engineering	NOUN
fumecheng-12969	2	94	,	,	PUNCT
fumecheng-12969	2	95	king	king	PROPN
fumecheng-12969	2	96	khalid	khalid	PROPN
fumecheng-12969	2	97	university	university	PROPN
fumecheng-12969	2	98	,	,	PUNCT
fumecheng-12969	2	99	abha	abha	NOUN
fumecheng-12969	2	100	,	,	PUNCT
fumecheng-12969	2	101	saudi	saudi	PROPN
fumecheng-12969	2	102	arabia	arabia	PROPN
fumecheng-12969	2	103	4research	4research	PROPN
fumecheng-12969	2	104	institute	institute	PROPN
fumecheng-12969	2	105	of	of	ADP
fumecheng-12969	2	106	microscale	microscale	ADJ
fumecheng-12969	2	107	optoelectronics	optoelectronic	NOUN
fumecheng-12969	2	108	,	,	PUNCT
fumecheng-12969	2	109	school	school	NOUN
fumecheng-12969	2	110	of	of	ADP
fumecheng-12969	2	111	jia	jia	PROPN
fumecheng-12969	2	112	yang	yang	PROPN
fumecheng-12969	2	113	,	,	PUNCT
fumecheng-12969	2	114	zhejiang	zhejiang	PROPN
fumecheng-12969	2	115	shuren	shuren	PROPN
fumecheng-12969	2	116	university	university	PROPN
fumecheng-12969	2	117	,	,	PUNCT
fumecheng-12969	2	118	shaoxing	shaoxing	PROPN
fumecheng-12969	2	119	china	china	PROPN
fumecheng-12969	3	1	5shenzhen	5shenzhen	ADP
fumecheng-12969	3	2	institutes	institute	NOUN
fumecheng-12969	3	3	of	of	ADP
fumecheng-12969	3	4	advanced	advanced	ADJ
fumecheng-12969	3	5	technology	technology	NOUN
fumecheng-12969	3	6	,	,	PUNCT
fumecheng-12969	3	7	chinese	chinese	PROPN
fumecheng-12969	3	8	academy	academy	PROPN
fumecheng-12969	3	9	of	of	ADP
fumecheng-12969	3	10	sciences	sciences	PROPN
fumecheng-12969	3	11	6department	6department	NUM
fumecheng-12969	3	12	of	of	ADP
fumecheng-12969	3	13	mathematics	mathematic	NOUN
fumecheng-12969	3	14	,	,	PUNCT
fumecheng-12969	3	15	college	college	NOUN
fumecheng-12969	3	16	of	of	ADP
fumecheng-12969	3	17	science	science	PROPN
fumecheng-12969	3	18	&	&	CCONJ
fumecheng-12969	3	19	arts	arts	PROPN
fumecheng-12969	3	20	,	,	PUNCT
fumecheng-12969	3	21	king	king	NOUN
fumecheng-12969	3	22	abdul	abdul	PROPN
fumecheng-12969	3	23	aziz	aziz	PROPN
fumecheng-12969	3	24	university	university	PROPN
fumecheng-12969	3	25	,	,	PUNCT
fumecheng-12969	3	26	rabigh	rabigh	VERB
fumecheng-12969	3	27	,	,	PUNCT
fumecheng-12969	3	28	saudi	saudi	PROPN
fumecheng-12969	3	29	arabia	arabia	PROPN
fumecheng-12969	3	30	orcid	orcid	PROPN
fumecheng-12969	3	31	ids	ids	PROPN
fumecheng-12969	3	32	:	:	PUNCT
fumecheng-12969	3	33	muhammad	muhammad	PROPN
fumecheng-12969	3	34	nadeem	nadeem	PROPN
fumecheng-12969	3	35	https://orcid.org/0000-0002-9349-4729	https://orcid.org/0000-0002-9349-4729	PROPN
fumecheng-12969	3	36	qura	qura	PROPN
fumecheng-12969	3	37	-	-	PUNCT
fumecheng-12969	3	38	tul	tul	ADJ
fumecheng-12969	3	39	ain	ain	NOUN
fumecheng-12969	3	40	https://orcid.org/0000-0003-4442-4756	https://orcid.org/0000-0003-4442-4756	PROPN
fumecheng-12969	3	41	naif	naif	NOUN
fumecheng-12969	3	42	almakayeel	almakayeel	NOUN
fumecheng-12969	4	1	https://orcid.org/0000-0001-9461-5935	https://orcid.org/0000-0001-9461-5935	PROPN
fumecheng-12969	4	2	yabin	yabin	PROPN
fumecheng-12969	4	3	shao	shao	PROPN
fumecheng-12969	4	4	https://orcid.org/0009-0003-1925-9231	https://orcid.org/0009-0003-1925-9231	PROPN
fumecheng-12969	4	5	shuqiang	shuqiang	PROPN
fumecheng-12969	4	6	wang	wang	PROPN
fumecheng-12969	4	7	https://orcid.org/0000-0003-1119-320x	https://orcid.org/0000-0003-1119-320x	PROPN
fumecheng-12969	4	8	meshal	meshal	PROPN
fumecheng-12969	4	9	shutaywi	shutaywi	PROPN
fumecheng-12969	4	10	https://orcid.org/0000-0003-1454-2962	https://orcid.org/0000-0003-1454-2962	PROPN
fumecheng-12969	4	11	abstract	abstract	PROPN
fumecheng-12969	4	12	.	.	PUNCT
fumecheng-12969	5	1	nano	nano	NOUN
fumecheng-12969	5	2	/	/	SYM
fumecheng-12969	5	3	microelectromechanical	microelectromechanical	ADJ
fumecheng-12969	5	4	system	system	NOUN
fumecheng-12969	5	5	(	(	PUNCT
fumecheng-12969	5	6	n	n	CCONJ
fumecheng-12969	5	7	/	/	SYM
fumecheng-12969	5	8	mems	mem	NOUN
fumecheng-12969	5	9	)	)	PUNCT
fumecheng-12969	5	10	have	have	AUX
fumecheng-12969	5	11	garnered	garner	VERB
fumecheng-12969	5	12	significant	significant	ADJ
fumecheng-12969	5	13	global	global	ADJ
fumecheng-12969	5	14	attention	attention	NOUN
fumecheng-12969	5	15	for	for	ADP
fumecheng-12969	5	16	their	their	PRON
fumecheng-12969	5	17	transformative	transformative	ADJ
fumecheng-12969	5	18	applications	application	NOUN
fumecheng-12969	5	19	across	across	ADP
fumecheng-12969	5	20	various	various	ADJ
fumecheng-12969	5	21	cutting	cutting	NOUN
fumecheng-12969	5	22	-	-	PUNCT
fumecheng-12969	5	23	edge	edge	NOUN
fumecheng-12969	5	24	fields	field	NOUN
fumecheng-12969	5	25	,	,	PUNCT
fumecheng-12969	5	26	including	include	VERB
fumecheng-12969	5	27	wearable	wearable	ADJ
fumecheng-12969	5	28	devices	device	NOUN
fumecheng-12969	5	29	,	,	PUNCT
fumecheng-12969	5	30	5	5	NUM
fumecheng-12969	5	31	g	g	NOUN
fumecheng-12969	5	32	service	service	NOUN
fumecheng-12969	5	33	,	,	PUNCT
fumecheng-12969	5	34	collecting	collect	VERB
fumecheng-12969	5	35	power	power	NOUN
fumecheng-12969	5	36	,	,	PUNCT
fumecheng-12969	5	37	and	and	CCONJ
fumecheng-12969	5	38	space	space	NOUN
fumecheng-12969	5	39	travel	travel	NOUN
fumecheng-12969	5	40	.	.	PUNCT
fumecheng-12969	6	1	these	these	DET
fumecheng-12969	6	2	systems	system	NOUN
fumecheng-12969	6	3	face	face	VERB
fumecheng-12969	6	4	challenges	challenge	NOUN
fumecheng-12969	6	5	when	when	SCONJ
fumecheng-12969	6	6	exposed	expose	VERB
fumecheng-12969	6	7	to	to	ADP
fumecheng-12969	6	8	excessive	excessive	ADJ
fumecheng-12969	6	9	forces	force	NOUN
fumecheng-12969	6	10	and	and	CCONJ
fumecheng-12969	6	11	leading	lead	VERB
fumecheng-12969	6	12	to	to	ADP
fumecheng-12969	6	13	pull	pull	VERB
fumecheng-12969	6	14	-	-	PUNCT
fumecheng-12969	6	15	in	in	ADP
fumecheng-12969	6	16	instability	instability	NOUN
fumecheng-12969	6	17	that	that	PRON
fumecheng-12969	6	18	can	can	AUX
fumecheng-12969	6	19	undermine	undermine	VERB
fumecheng-12969	6	20	a	a	DET
fumecheng-12969	6	21	reliable	reliable	ADJ
fumecheng-12969	6	22	performance	performance	NOUN
fumecheng-12969	6	23	.	.	PUNCT
fumecheng-12969	7	1	therefore	therefore	ADV
fumecheng-12969	7	2	,	,	PUNCT
fumecheng-12969	7	3	it	it	PRON
fumecheng-12969	7	4	is	be	AUX
fumecheng-12969	7	5	essential	essential	ADJ
fumecheng-12969	7	6	to	to	PART
fumecheng-12969	7	7	quickly	quickly	ADV
fumecheng-12969	7	8	and	and	CCONJ
fumecheng-12969	7	9	precisely	precisely	ADV
fumecheng-12969	7	10	comprehend	comprehend	VERB
fumecheng-12969	7	11	the	the	DET
fumecheng-12969	7	12	periodic	periodic	ADJ
fumecheng-12969	7	13	motion	motion	NOUN
fumecheng-12969	7	14	of	of	ADP
fumecheng-12969	7	15	the	the	DET
fumecheng-12969	7	16	system	system	NOUN
fumecheng-12969	7	17	to	to	PART
fumecheng-12969	7	18	minimize	minimize	VERB
fumecheng-12969	7	19	the	the	DET
fumecheng-12969	7	20	possibility	possibility	NOUN
fumecheng-12969	7	21	of	of	ADP
fumecheng-12969	7	22	pull	pull	NOUN
fumecheng-12969	7	23	-	-	PUNCT
fumecheng-12969	7	24	in	in	ADP
fumecheng-12969	7	25	instability	instability	NOUN
fumecheng-12969	7	26	and	and	CCONJ
fumecheng-12969	7	27	maintain	maintain	VERB
fumecheng-12969	7	28	consistent	consistent	ADJ
fumecheng-12969	7	29	operation	operation	NOUN
fumecheng-12969	7	30	.	.	PUNCT
fumecheng-12969	8	1	this	this	DET
fumecheng-12969	8	2	article	article	NOUN
fumecheng-12969	8	3	explores	explore	VERB
fumecheng-12969	8	4	the	the	DET
fumecheng-12969	8	5	application	application	NOUN
fumecheng-12969	8	6	of	of	ADP
fumecheng-12969	8	7	the	the	DET
fumecheng-12969	8	8	homotopy	homotopy	NOUN
fumecheng-12969	8	9	transformation	transformation	NOUN
fumecheng-12969	8	10	scheme	scheme	NOUN
fumecheng-12969	8	11	(	(	PUNCT
fumecheng-12969	8	12	hts	hts	PROPN
fumecheng-12969	8	13	)	)	PUNCT
fumecheng-12969	8	14	for	for	ADP
fumecheng-12969	8	15	forecasting	forecast	VERB
fumecheng-12969	8	16	dynamic	dynamic	ADJ
fumecheng-12969	8	17	behavior	behavior	NOUN
fumecheng-12969	8	18	of	of	ADP
fumecheng-12969	8	19	n	n	CCONJ
fumecheng-12969	8	20	/	/	SYM
fumecheng-12969	8	21	mems	mem	NOUN
fumecheng-12969	8	22	.	.	PUNCT
fumecheng-12969	9	1	the	the	DET
fumecheng-12969	9	2	most	most	ADJ
fumecheng-12969	9	3	advantage	advantage	NOUN
fumecheng-12969	9	4	of	of	ADP
fumecheng-12969	9	5	hts	hts	PROPN
fumecheng-12969	9	6	is	be	AUX
fumecheng-12969	9	7	its	its	PRON
fumecheng-12969	9	8	ability	ability	NOUN
fumecheng-12969	9	9	to	to	PART
fumecheng-12969	9	10	deliver	deliver	VERB
fumecheng-12969	9	11	results	result	NOUN
fumecheng-12969	9	12	without	without	ADP
fumecheng-12969	9	13	relying	rely	VERB
fumecheng-12969	9	14	on	on	ADP
fumecheng-12969	9	15	hypotheses	hypothesis	NOUN
fumecheng-12969	9	16	,	,	PUNCT
fumecheng-12969	9	17	assumptions	assumption	NOUN
fumecheng-12969	9	18	,	,	PUNCT
fumecheng-12969	9	19	or	or	CCONJ
fumecheng-12969	9	20	constraints	constraint	NOUN
fumecheng-12969	9	21	on	on	ADP
fumecheng-12969	9	22	variables	variable	NOUN
fumecheng-12969	9	23	.	.	PUNCT
fumecheng-12969	10	1	to	to	PART
fumecheng-12969	10	2	illustrate	illustrate	VERB
fumecheng-12969	10	3	its	its	PRON
fumecheng-12969	10	4	effectiveness	effectiveness	NOUN
fumecheng-12969	10	5	,	,	PUNCT
fumecheng-12969	10	6	we	we	PRON
fumecheng-12969	10	7	use	use	VERB
fumecheng-12969	10	8	a	a	DET
fumecheng-12969	10	9	generalized	generalized	ADJ
fumecheng-12969	10	10	n	n	CCONJ
fumecheng-12969	10	11	/	/	SYM
fumecheng-12969	10	12	mems	mems	ADJ
fumecheng-12969	10	13	oscillator	oscillator	NOUN
fumecheng-12969	10	14	system	system	NOUN
fumecheng-12969	10	15	,	,	PUNCT
fumecheng-12969	10	16	presenting	present	VERB
fumecheng-12969	10	17	an	an	DET
fumecheng-12969	10	18	accurate	accurate	ADJ
fumecheng-12969	10	19	analysis	analysis	NOUN
fumecheng-12969	10	20	of	of	ADP
fumecheng-12969	10	21	analytic	analytic	ADJ
fumecheng-12969	10	22	solution	solution	NOUN
fumecheng-12969	10	23	.	.	PUNCT
fumecheng-12969	11	1	specifically	specifically	ADV
fumecheng-12969	11	2	,	,	PUNCT
fumecheng-12969	11	3	we	we	PRON
fumecheng-12969	11	4	focus	focus	VERB
fumecheng-12969	11	5	on	on	ADP
fumecheng-12969	11	6	a	a	DET
fumecheng-12969	11	7	microstructure	microstructure	NOUN
fumecheng-12969	11	8	of	of	ADP
fumecheng-12969	11	9	nanobeambased	nanobeambase	VERB
fumecheng-12969	11	10	system	system	NOUN
fumecheng-12969	11	11	actuated	actuate	VERB
fumecheng-12969	11	12	by	by	ADP
fumecheng-12969	11	13	van	van	PROPN
fumecheng-12969	11	14	der	der	NOUN
fumecheng-12969	11	15	waals	waal	NOUN
fumecheng-12969	11	16	(	(	PUNCT
fumecheng-12969	11	17	vdw	vdw	NOUN
fumecheng-12969	11	18	)	)	PUNCT
fumecheng-12969	11	19	forces	force	NOUN
fumecheng-12969	11	20	to	to	PART
fumecheng-12969	11	21	highlight	highlight	VERB
fumecheng-12969	11	22	its	its	PRON
fumecheng-12969	11	23	periodic	periodic	ADJ
fumecheng-12969	11	24	characteristics	characteristic	NOUN
fumecheng-12969	11	25	.	.	PUNCT
fumecheng-12969	12	1	the	the	DET
fumecheng-12969	12	2	results	result	NOUN
fumecheng-12969	12	3	reveal	reveal	VERB
fumecheng-12969	12	4	that	that	SCONJ
fumecheng-12969	12	5	hts	hts	PROPN
fumecheng-12969	12	6	provides	provide	VERB
fumecheng-12969	12	7	a	a	DET
fumecheng-12969	12	8	robust	robust	ADJ
fumecheng-12969	12	9	comparison	comparison	NOUN
fumecheng-12969	12	10	and	and	CCONJ
fumecheng-12969	12	11	excellent	excellent	ADJ
fumecheng-12969	12	12	agreement	agreement	NOUN
fumecheng-12969	12	13	with	with	ADP
fumecheng-12969	12	14	the	the	DET
fumecheng-12969	12	15	exact	exact	ADJ
fumecheng-12969	12	16	solution	solution	NOUN
fumecheng-12969	12	17	,	,	PUNCT
fumecheng-12969	12	18	underscoring	underscore	VERB
fumecheng-12969	12	19	its	its	PRON
fumecheng-12969	12	20	reliability	reliability	NOUN
fumecheng-12969	12	21	and	and	CCONJ
fumecheng-12969	12	22	precision	precision	NOUN
fumecheng-12969	12	23	.	.	PUNCT
fumecheng-12969	13	1	key	key	ADJ
fumecheng-12969	13	2	words	word	NOUN
fumecheng-12969	13	3	:	:	PUNCT
fumecheng-12969	13	4	sumudu	sumudu	NOUN
fumecheng-12969	13	5	transform	transform	NOUN
fumecheng-12969	13	6	,	,	PUNCT
fumecheng-12969	13	7	n	n	CCONJ
fumecheng-12969	13	8	/	/	SYM
fumecheng-12969	13	9	mems	mem	NOUN
fumecheng-12969	13	10	,	,	PUNCT
fumecheng-12969	13	11	homotopy	homotopy	VERB
fumecheng-12969	13	12	perturbation	perturbation	NOUN
fumecheng-12969	13	13	method	method	NOUN
fumecheng-12969	13	14	,	,	PUNCT
fumecheng-12969	13	15	approximate	approximate	ADJ
fumecheng-12969	13	16	solution	solution	NOUN
fumecheng-12969	13	17	received	receive	VERB
fumecheng-12969	13	18	:	:	PUNCT
fumecheng-12969	13	19	september	september	PROPN
fumecheng-12969	13	20	04	04	NUM
fumecheng-12969	13	21	,	,	PUNCT
fumecheng-12969	13	22	2024	2024	NUM
fumecheng-12969	13	23	/	/	SYM
fumecheng-12969	13	24	accepted	accept	VERB
fumecheng-12969	13	25	november	november	PROPN
fumecheng-12969	13	26	17	17	NUM
fumecheng-12969	13	27	,	,	PUNCT
fumecheng-12969	13	28	2024	2024	NUM
fumecheng-12969	13	29	corresponding	correspond	VERB
fumecheng-12969	13	30	author	author	NOUN
fumecheng-12969	13	31	:	:	PUNCT
fumecheng-12969	13	32	yabin	yabin	PROPN
fumecheng-12969	13	33	shao	shao	PROPN
fumecheng-12969	13	34	zhejiang	zhejiang	PROPN
fumecheng-12969	13	35	shuren	shuren	PROPN
fumecheng-12969	13	36	university	university	PROPN
fumecheng-12969	13	37	,	,	PUNCT
fumecheng-12969	13	38	shaoxing	shaoxing	PROPN
fumecheng-12969	13	39	312028	312028	NUM
fumecheng-12969	13	40	china	china	PROPN
fumecheng-12969	13	41	e	e	NOUN
fumecheng-12969	13	42	-	-	NOUN
fumecheng-12969	13	43	mail	mail	NOUN
fumecheng-12969	13	44	:	:	PUNCT
fumecheng-12969	13	45	shaoyabin@zjsru.edu.cn	shaoyabin@zjsru.edu.cn	PROPN
fumecheng-12969	13	46	(	(	PUNCT
fumecheng-12969	13	47	shao	shao	PROPN
fumecheng-12969	13	48	)	)	PUNCT
fumecheng-12969	13	49	mailto:shaoyabin@zjsru.edu.cn	mailto:shaoyabin@zjsru.edu.cn	NOUN
fumecheng-12969	13	50	674	674	NUM
fumecheng-12969	13	51	m.	m.	NOUN
fumecheng-12969	13	52	nadeem	nadeem	NOUN
fumecheng-12969	13	53	,	,	PUNCT
fumecheng-12969	13	54	q.-t	q.-t	NOUN
fumecheng-12969	13	55	.	.	PUNCT
fumecheng-12969	14	1	ain	ain	PROPN
fumecheng-12969	14	2	,	,	PUNCT
fumecheng-12969	14	3	n.	n.	PROPN
fumecheng-12969	14	4	almakayeel	almakayeel	PROPN
fumecheng-12969	14	5	,	,	PUNCT
fumecheng-12969	14	6	y.	y.	PROPN
fumecheng-12969	14	7	shao	shao	PROPN
fumecheng-12969	14	8	,	,	PUNCT
fumecheng-12969	14	9	s.	s.	PROPN
fumecheng-12969	14	10	wang	wang	PROPN
fumecheng-12969	14	11	,	,	PUNCT
fumecheng-12969	14	12	m.	m.	PROPN
fumecheng-12969	14	13	shutaywi	shutaywi	PROPN
fumecheng-12969	14	14	1	1	NUM
fumecheng-12969	14	15	.	.	PUNCT
fumecheng-12969	15	1	introduction	introduction	NOUN
fumecheng-12969	15	2	nano	nano	NOUN
fumecheng-12969	15	3	/	/	SYM
fumecheng-12969	15	4	microelectromechanical	microelectromechanical	ADJ
fumecheng-12969	15	5	systems	system	NOUN
fumecheng-12969	15	6	(	(	PUNCT
fumecheng-12969	15	7	n	n	CCONJ
fumecheng-12969	15	8	/	/	SYM
fumecheng-12969	15	9	memss	memss	NOUN
fumecheng-12969	15	10	)	)	PUNCT
fumecheng-12969	15	11	represents	represent	VERB
fumecheng-12969	15	12	a	a	DET
fumecheng-12969	15	13	cutting	cut	VERB
fumecheng-12969	15	14	-	-	PUNCT
fumecheng-12969	15	15	edge	edge	NOUN
fumecheng-12969	15	16	technology	technology	NOUN
fumecheng-12969	15	17	characterized	characterize	VERB
fumecheng-12969	15	18	by	by	ADP
fumecheng-12969	15	19	their	their	PRON
fumecheng-12969	15	20	exceptional	exceptional	ADJ
fumecheng-12969	15	21	geometrical	geometrical	ADJ
fumecheng-12969	15	22	precision	precision	NOUN
fumecheng-12969	15	23	,	,	PUNCT
fumecheng-12969	15	24	reliable	reliable	ADJ
fumecheng-12969	15	25	performance	performance	NOUN
fumecheng-12969	15	26	,	,	PUNCT
fumecheng-12969	15	27	and	and	CCONJ
fumecheng-12969	15	28	high	high	ADJ
fumecheng-12969	15	29	sensitivity	sensitivity	NOUN
fumecheng-12969	15	30	.	.	PUNCT
fumecheng-12969	16	1	these	these	DET
fumecheng-12969	16	2	systems	system	NOUN
fumecheng-12969	16	3	achieved	achieve	VERB
fumecheng-12969	16	4	various	various	ADJ
fumecheng-12969	16	5	advanced	advanced	ADJ
fumecheng-12969	16	6	properties	property	NOUN
fumecheng-12969	16	7	through	through	ADP
fumecheng-12969	16	8	meticulous	meticulous	ADJ
fumecheng-12969	16	9	control	control	NOUN
fumecheng-12969	16	10	of	of	ADP
fumecheng-12969	16	11	applied	apply	VERB
fumecheng-12969	16	12	voltage	voltage	NOUN
fumecheng-12969	16	13	and	and	CCONJ
fumecheng-12969	16	14	involved	involve	VERB
fumecheng-12969	16	15	both	both	DET
fumecheng-12969	16	16	fixed	fixed	ADJ
fumecheng-12969	16	17	and	and	CCONJ
fumecheng-12969	16	18	dynamic	dynamic	ADJ
fumecheng-12969	16	19	elements	element	NOUN
fumecheng-12969	16	20	;	;	PUNCT
fumecheng-12969	16	21	whenever	whenever	SCONJ
fumecheng-12969	16	22	an	an	DET
fumecheng-12969	16	23	effort	effort	NOUN
fumecheng-12969	16	24	is	be	AUX
fumecheng-12969	16	25	exerted	exert	VERB
fumecheng-12969	16	26	for	for	ADP
fumecheng-12969	16	27	activation	activation	NOUN
fumecheng-12969	16	28	[	[	X
fumecheng-12969	16	29	1	1	NUM
fumecheng-12969	16	30	,	,	PUNCT
fumecheng-12969	16	31	2	2	NUM
fumecheng-12969	16	32	]	]	PUNCT
fumecheng-12969	16	33	.	.	PUNCT
fumecheng-12969	17	1	the	the	DET
fumecheng-12969	17	2	n	n	CCONJ
fumecheng-12969	17	3	/	/	SYM
fumecheng-12969	17	4	mems	mem	NOUN
fumecheng-12969	17	5	have	have	VERB
fumecheng-12969	17	6	a	a	DET
fumecheng-12969	17	7	variety	variety	NOUN
fumecheng-12969	17	8	of	of	ADP
fumecheng-12969	17	9	potential	potential	ADJ
fumecheng-12969	17	10	areas	area	NOUN
fumecheng-12969	17	11	,	,	PUNCT
fumecheng-12969	17	12	consisting	consist	VERB
fumecheng-12969	17	13	of	of	ADP
fumecheng-12969	17	14	wearable	wearable	ADJ
fumecheng-12969	17	15	instruments	instrument	NOUN
fumecheng-12969	17	16	,	,	PUNCT
fumecheng-12969	17	17	5	5	NUM
fumecheng-12969	17	18	g	g	NOUN
fumecheng-12969	17	19	service	service	NOUN
fumecheng-12969	17	20	,	,	PUNCT
fumecheng-12969	17	21	and	and	CCONJ
fumecheng-12969	17	22	collecting	collect	VERB
fumecheng-12969	17	23	power	power	NOUN
fumecheng-12969	17	24	[	[	X
fumecheng-12969	17	25	3	3	NUM
fumecheng-12969	17	26	-	-	SYM
fumecheng-12969	17	27	6	6	NUM
fumecheng-12969	17	28	]	]	PUNCT
fumecheng-12969	17	29	.	.	PUNCT
fumecheng-12969	18	1	the	the	DET
fumecheng-12969	18	2	transformative	transformative	ADJ
fumecheng-12969	18	3	impact	impact	NOUN
fumecheng-12969	18	4	of	of	ADP
fumecheng-12969	18	5	these	these	DET
fumecheng-12969	18	6	systems	system	NOUN
fumecheng-12969	18	7	on	on	ADP
fumecheng-12969	18	8	various	various	ADJ
fumecheng-12969	18	9	technologies	technology	NOUN
fumecheng-12969	18	10	has	have	AUX
fumecheng-12969	18	11	prompted	prompt	VERB
fumecheng-12969	18	12	extensive	extensive	ADJ
fumecheng-12969	18	13	research	research	NOUN
fumecheng-12969	18	14	into	into	ADP
fumecheng-12969	18	15	their	their	PRON
fumecheng-12969	18	16	operational	operational	ADJ
fumecheng-12969	18	17	properties	property	NOUN
fumecheng-12969	18	18	and	and	CCONJ
fumecheng-12969	18	19	potential	potential	ADJ
fumecheng-12969	18	20	applications	application	NOUN
fumecheng-12969	18	21	.	.	PUNCT
fumecheng-12969	19	1	recent	recent	ADJ
fumecheng-12969	19	2	advancements	advancement	NOUN
fumecheng-12969	19	3	in	in	ADP
fumecheng-12969	19	4	nanotechnology	nanotechnology	NOUN
fumecheng-12969	19	5	have	have	AUX
fumecheng-12969	19	6	brought	bring	VERB
fumecheng-12969	19	7	significant	significant	ADJ
fumecheng-12969	19	8	attention	attention	NOUN
fumecheng-12969	19	9	to	to	ADP
fumecheng-12969	19	10	the	the	DET
fumecheng-12969	19	11	dynamic	dynamic	ADJ
fumecheng-12969	19	12	issues	issue	NOUN
fumecheng-12969	19	13	of	of	ADP
fumecheng-12969	19	14	nanotubes	nanotube	NOUN
fumecheng-12969	19	15	within	within	ADP
fumecheng-12969	19	16	nanostructures	nanostructure	NOUN
fumecheng-12969	19	17	and	and	CCONJ
fumecheng-12969	19	18	systems	system	NOUN
fumecheng-12969	19	19	.	.	PUNCT
fumecheng-12969	20	1	size	size	NOUN
fumecheng-12969	20	2	-	-	PUNCT
fumecheng-12969	20	3	dependent	dependent	ADJ
fumecheng-12969	20	4	behavior	behavior	NOUN
fumecheng-12969	20	5	in	in	ADP
fumecheng-12969	20	6	clamped	clamp	VERB
fumecheng-12969	20	7	-	-	PUNCT
fumecheng-12969	20	8	clamped	clamp	VERB
fumecheng-12969	20	9	microbeam	microbeam	NOUN
fumecheng-12969	20	10	systems	system	NOUN
fumecheng-12969	20	11	has	have	VERB
fumecheng-12969	20	12	important	important	ADJ
fumecheng-12969	20	13	mechanical	mechanical	ADJ
fumecheng-12969	20	14	and	and	CCONJ
fumecheng-12969	20	15	structural	structural	ADJ
fumecheng-12969	20	16	responses	response	NOUN
fumecheng-12969	20	17	due	due	ADP
fumecheng-12969	20	18	to	to	ADP
fumecheng-12969	20	19	the	the	DET
fumecheng-12969	20	20	change	change	NOUN
fumecheng-12969	20	21	in	in	ADP
fumecheng-12969	20	22	beam	beam	NOUN
fumecheng-12969	20	23	dimensions	dimension	NOUN
fumecheng-12969	20	24	at	at	ADP
fumecheng-12969	20	25	the	the	DET
fumecheng-12969	20	26	microscale	microscale	ADJ
fumecheng-12969	20	27	level	level	NOUN
fumecheng-12969	20	28	.	.	PUNCT
fumecheng-12969	21	1	small	small	ADJ
fumecheng-12969	21	2	-	-	PUNCT
fumecheng-12969	21	3	scale	scale	NOUN
fumecheng-12969	21	4	clamped	clamp	VERB
fumecheng-12969	21	5	-	-	PUNCT
fumecheng-12969	21	6	clamped	clamp	VERB
fumecheng-12969	21	7	beams	beam	NOUN
fumecheng-12969	21	8	may	may	AUX
fumecheng-12969	21	9	display	display	VERB
fumecheng-12969	21	10	nonlinear	nonlinear	ADJ
fumecheng-12969	21	11	behavior	behavior	NOUN
fumecheng-12969	21	12	,	,	PUNCT
fumecheng-12969	21	13	particularly	particularly	ADV
fumecheng-12969	21	14	at	at	ADP
fumecheng-12969	21	15	significant	significant	ADJ
fumecheng-12969	21	16	deflections	deflection	NOUN
fumecheng-12969	21	17	or	or	CCONJ
fumecheng-12969	21	18	when	when	SCONJ
fumecheng-12969	21	19	subjected	subject	VERB
fumecheng-12969	21	20	to	to	ADP
fumecheng-12969	21	21	electrostatic	electrostatic	ADJ
fumecheng-12969	21	22	forces	force	NOUN
fumecheng-12969	21	23	in	in	ADP
fumecheng-12969	21	24	mems	mem	NOUN
fumecheng-12969	21	25	systems	system	NOUN
fumecheng-12969	21	26	.	.	PUNCT
fumecheng-12969	22	1	nonlinear	nonlinear	ADJ
fumecheng-12969	22	2	components	component	NOUN
fumecheng-12969	22	3	emerge	emerge	VERB
fumecheng-12969	22	4	as	as	ADP
fumecheng-12969	22	5	importance	importance	NOUN
fumecheng-12969	22	6	in	in	ADP
fumecheng-12969	22	7	dealing	deal	VERB
fumecheng-12969	22	8	with	with	ADP
fumecheng-12969	22	9	problems	problem	NOUN
fumecheng-12969	22	10	,	,	PUNCT
fumecheng-12969	22	11	influencing	influence	VERB
fumecheng-12969	22	12	frequency	frequency	NOUN
fumecheng-12969	22	13	and	and	CCONJ
fumecheng-12969	22	14	equilibrium	equilibrium	NOUN
fumecheng-12969	22	15	,	,	PUNCT
fumecheng-12969	22	16	and	and	CCONJ
fumecheng-12969	22	17	providing	provide	VERB
fumecheng-12969	22	18	size	size	NOUN
fumecheng-12969	22	19	-	-	PUNCT
fumecheng-12969	22	20	dependent	dependent	ADJ
fumecheng-12969	22	21	nonlinearity	nonlinearity	NOUN
fumecheng-12969	22	22	[	[	X
fumecheng-12969	22	23	7	7	NUM
fumecheng-12969	22	24	,	,	PUNCT
fumecheng-12969	22	25	8	8	NUM
fumecheng-12969	22	26	]	]	PUNCT
fumecheng-12969	22	27	.	.	PUNCT
fumecheng-12969	23	1	researchers	researcher	NOUN
fumecheng-12969	23	2	have	have	AUX
fumecheng-12969	23	3	found	find	VERB
fumecheng-12969	23	4	that	that	SCONJ
fumecheng-12969	23	5	oscillators	oscillator	NOUN
fumecheng-12969	23	6	in	in	ADP
fumecheng-12969	23	7	n	n	CCONJ
fumecheng-12969	23	8	/	/	SYM
fumecheng-12969	23	9	mems	mem	NOUN
fumecheng-12969	23	10	exhibit	exhibit	NOUN
fumecheng-12969	23	11	complex	complex	ADJ
fumecheng-12969	23	12	dynamics	dynamic	NOUN
fumecheng-12969	23	13	,	,	PUNCT
fumecheng-12969	23	14	such	such	ADJ
fumecheng-12969	23	15	as	as	ADP
fumecheng-12969	23	16	pull	pull	NOUN
fumecheng-12969	23	17	-	-	PUNCT
fumecheng-12969	23	18	in	in	ADP
fumecheng-12969	23	19	instability	instability	NOUN
fumecheng-12969	23	20	,	,	PUNCT
fumecheng-12969	23	21	phase	phase	NOUN
fumecheng-12969	23	22	diagrams	diagram	NOUN
fumecheng-12969	23	23	,	,	PUNCT
fumecheng-12969	23	24	and	and	CCONJ
fumecheng-12969	23	25	hysteresis	hysteresis	NOUN
fumecheng-12969	23	26	being	be	AUX
fumecheng-12969	23	27	crucial	crucial	ADJ
fumecheng-12969	23	28	to	to	ADP
fumecheng-12969	23	29	their	their	PRON
fumecheng-12969	23	30	dynamic	dynamic	ADJ
fumecheng-12969	23	31	analysis	analysis	NOUN
fumecheng-12969	23	32	[	[	X
fumecheng-12969	23	33	9	9	NUM
fumecheng-12969	23	34	,	,	PUNCT
fumecheng-12969	23	35	10	10	NUM
fumecheng-12969	23	36	]	]	PUNCT
fumecheng-12969	23	37	.	.	PUNCT
fumecheng-12969	24	1	the	the	DET
fumecheng-12969	24	2	basic	basic	ADJ
fumecheng-12969	24	3	mode	mode	NOUN
fumecheng-12969	24	4	of	of	ADP
fumecheng-12969	24	5	oscillation	oscillation	NOUN
fumecheng-12969	24	6	coincides	coincide	VERB
fumecheng-12969	24	7	with	with	ADP
fumecheng-12969	24	8	the	the	DET
fumecheng-12969	24	9	main	main	ADJ
fumecheng-12969	24	10	stretching	stretching	NOUN
fumecheng-12969	24	11	of	of	ADP
fumecheng-12969	24	12	the	the	DET
fumecheng-12969	24	13	beam	beam	NOUN
fumecheng-12969	24	14	.	.	PUNCT
fumecheng-12969	25	1	the	the	DET
fumecheng-12969	25	2	ends	end	NOUN
fumecheng-12969	25	3	are	be	AUX
fumecheng-12969	25	4	fixed	fix	VERB
fumecheng-12969	25	5	for	for	ADP
fumecheng-12969	25	6	a	a	DET
fumecheng-12969	25	7	doubly	doubly	ADV
fumecheng-12969	25	8	clamped	clamp	VERB
fumecheng-12969	25	9	beam	beam	NOUN
fumecheng-12969	25	10	,	,	PUNCT
fumecheng-12969	25	11	thus	thus	ADV
fumecheng-12969	25	12	its	its	PRON
fumecheng-12969	25	13	initial	initial	ADJ
fumecheng-12969	25	14	frequency	frequency	NOUN
fumecheng-12969	25	15	is	be	AUX
fumecheng-12969	25	16	higher	high	ADJ
fumecheng-12969	25	17	than	than	ADP
fumecheng-12969	25	18	that	that	PRON
fumecheng-12969	25	19	of	of	ADP
fumecheng-12969	25	20	simply	simply	ADV
fumecheng-12969	25	21	supported	support	VERB
fumecheng-12969	25	22	or	or	CCONJ
fumecheng-12969	25	23	free	free	ADJ
fumecheng-12969	25	24	ends	end	NOUN
fumecheng-12969	25	25	.	.	PUNCT
fumecheng-12969	26	1	this	this	DET
fumecheng-12969	26	2	fixed	fix	VERB
fumecheng-12969	26	3	structure	structure	NOUN
fumecheng-12969	26	4	enhances	enhance	VERB
fumecheng-12969	26	5	elasticity	elasticity	NOUN
fumecheng-12969	26	6	,	,	PUNCT
fumecheng-12969	26	7	which	which	PRON
fumecheng-12969	26	8	implies	imply	VERB
fumecheng-12969	26	9	that	that	SCONJ
fumecheng-12969	26	10	the	the	DET
fumecheng-12969	26	11	beam	beam	NOUN
fumecheng-12969	26	12	needs	need	VERB
fumecheng-12969	26	13	more	more	ADJ
fumecheng-12969	26	14	energy	energy	NOUN
fumecheng-12969	26	15	to	to	PART
fumecheng-12969	26	16	oscillate	oscillate	VERB
fumecheng-12969	26	17	,	,	PUNCT
fumecheng-12969	26	18	and	and	CCONJ
fumecheng-12969	26	19	raises	raise	VERB
fumecheng-12969	26	20	the	the	DET
fumecheng-12969	26	21	fundamental	fundamental	ADJ
fumecheng-12969	26	22	frequency	frequency	NOUN
fumecheng-12969	26	23	.	.	PUNCT
fumecheng-12969	27	1	nonlinear	nonlinear	ADJ
fumecheng-12969	27	2	oscillatory	oscillatory	ADJ
fumecheng-12969	27	3	dynamics	dynamic	NOUN
fumecheng-12969	27	4	are	be	AUX
fumecheng-12969	27	5	often	often	ADV
fumecheng-12969	27	6	utilized	utilize	VERB
fumecheng-12969	27	7	in	in	ADP
fumecheng-12969	27	8	energy	energy	NOUN
fumecheng-12969	27	9	-	-	PUNCT
fumecheng-12969	27	10	harvesting	harvesting	NOUN
fumecheng-12969	27	11	instances	instance	NOUN
fumecheng-12969	27	12	,	,	PUNCT
fumecheng-12969	27	13	in	in	ADP
fumecheng-12969	27	14	which	which	PRON
fumecheng-12969	27	15	the	the	DET
fumecheng-12969	27	16	oscillations	oscillation	NOUN
fumecheng-12969	27	17	of	of	ADP
fumecheng-12969	27	18	the	the	DET
fumecheng-12969	27	19	beam	beam	NOUN
fumecheng-12969	27	20	transform	transform	VERB
fumecheng-12969	27	21	mechanical	mechanical	ADJ
fumecheng-12969	27	22	power	power	NOUN
fumecheng-12969	27	23	to	to	ADP
fumecheng-12969	27	24	electrical	electrical	ADJ
fumecheng-12969	27	25	power	power	NOUN
fumecheng-12969	27	26	.	.	PUNCT
fumecheng-12969	28	1	subsequently	subsequently	ADV
fumecheng-12969	28	2	,	,	PUNCT
fumecheng-12969	28	3	damping	damp	VERB
fumecheng-12969	28	4	and	and	CCONJ
fumecheng-12969	28	5	harmonic	harmonic	ADJ
fumecheng-12969	28	6	stability	stability	NOUN
fumecheng-12969	28	7	are	be	AUX
fumecheng-12969	28	8	essential	essential	ADJ
fumecheng-12969	28	9	for	for	ADP
fumecheng-12969	28	10	performance	performance	NOUN
fumecheng-12969	28	11	.	.	PUNCT
fumecheng-12969	29	1	the	the	DET
fumecheng-12969	29	2	criteria	criterion	NOUN
fumecheng-12969	29	3	for	for	ADP
fumecheng-12969	29	4	the	the	DET
fumecheng-12969	29	5	existence	existence	NOUN
fumecheng-12969	29	6	of	of	ADP
fumecheng-12969	29	7	periodic	periodic	ADJ
fumecheng-12969	29	8	solutions	solution	NOUN
fumecheng-12969	29	9	and	and	CCONJ
fumecheng-12969	29	10	their	their	PRON
fumecheng-12969	29	11	associated	associated	ADJ
fumecheng-12969	29	12	properties	property	NOUN
fumecheng-12969	29	13	are	be	AUX
fumecheng-12969	29	14	crucial	crucial	ADJ
fumecheng-12969	29	15	for	for	ADP
fumecheng-12969	29	16	the	the	DET
fumecheng-12969	29	17	efficiency	efficiency	NOUN
fumecheng-12969	29	18	and	and	CCONJ
fumecheng-12969	29	19	aesthetics	aesthetic	NOUN
fumecheng-12969	29	20	of	of	ADP
fumecheng-12969	29	21	nanotube	nanotube	NOUN
fumecheng-12969	29	22	-	-	PUNCT
fumecheng-12969	29	23	based	base	VERB
fumecheng-12969	29	24	n	n	CCONJ
fumecheng-12969	29	25	/	/	SYM
fumecheng-12969	29	26	mems	mem	NOUN
fumecheng-12969	29	27	and	and	CCONJ
fumecheng-12969	29	28	resonators	resonator	NOUN
fumecheng-12969	29	29	[	[	PUNCT
fumecheng-12969	29	30	11	11	NUM
fumecheng-12969	29	31	-	-	SYM
fumecheng-12969	29	32	13	13	NUM
fumecheng-12969	29	33	]	]	PUNCT
fumecheng-12969	29	34	.	.	PUNCT
fumecheng-12969	30	1	the	the	DET
fumecheng-12969	30	2	casimir	casimir	NOUN
fumecheng-12969	30	3	effect	effect	NOUN
fumecheng-12969	30	4	arises	arise	VERB
fumecheng-12969	30	5	from	from	ADP
fumecheng-12969	30	6	quantum	quantum	ADJ
fumecheng-12969	30	7	fluctuations	fluctuation	NOUN
fumecheng-12969	30	8	and	and	CCONJ
fumecheng-12969	30	9	can	can	AUX
fumecheng-12969	30	10	be	be	AUX
fumecheng-12969	30	11	viewed	view	VERB
fumecheng-12969	30	12	as	as	ADP
fumecheng-12969	30	13	an	an	DET
fumecheng-12969	30	14	attractive	attractive	ADJ
fumecheng-12969	30	15	force	force	NOUN
fumecheng-12969	30	16	between	between	ADP
fumecheng-12969	30	17	conducting	conduct	VERB
fumecheng-12969	30	18	plates	plate	NOUN
fumecheng-12969	30	19	;	;	PUNCT
fumecheng-12969	30	20	nevertheless	nevertheless	ADV
fumecheng-12969	30	21	,	,	PUNCT
fumecheng-12969	30	22	it	it	PRON
fumecheng-12969	30	23	comes	come	VERB
fumecheng-12969	30	24	from	from	ADP
fumecheng-12969	30	25	the	the	DET
fumecheng-12969	30	26	same	same	ADJ
fumecheng-12969	30	27	fundamental	fundamental	ADJ
fumecheng-12969	30	28	principles	principle	NOUN
fumecheng-12969	30	29	that	that	PRON
fumecheng-12969	30	30	govern	govern	VERB
fumecheng-12969	30	31	vdw	vdw	NOUN
fumecheng-12969	30	32	interactions	interaction	NOUN
fumecheng-12969	30	33	.	.	PUNCT
fumecheng-12969	31	1	the	the	DET
fumecheng-12969	31	2	vdw	vdw	NOUN
fumecheng-12969	31	3	force	force	NOUN
fumecheng-12969	31	4	originates	originate	NOUN
fumecheng-12969	31	5	from	from	ADP
fumecheng-12969	31	6	the	the	DET
fumecheng-12969	31	7	relationships	relationship	NOUN
fumecheng-12969	31	8	across	across	ADP
fumecheng-12969	31	9	temporary	temporary	ADJ
fumecheng-12969	31	10	dipoles	dipole	NOUN
fumecheng-12969	31	11	induced	induce	VERB
fumecheng-12969	31	12	by	by	ADP
fumecheng-12969	31	13	electron	electron	NOUN
fumecheng-12969	31	14	density	density	NOUN
fumecheng-12969	31	15	fluctuations	fluctuation	NOUN
fumecheng-12969	31	16	within	within	ADP
fumecheng-12969	31	17	molecules	molecule	NOUN
fumecheng-12969	31	18	.	.	PUNCT
fumecheng-12969	32	1	this	this	DET
fumecheng-12969	32	2	force	force	NOUN
fumecheng-12969	32	3	is	be	AUX
fumecheng-12969	32	4	applicable	applicable	ADJ
fumecheng-12969	32	5	to	to	ADP
fumecheng-12969	32	6	all	all	DET
fumecheng-12969	32	7	molecules	molecule	NOUN
fumecheng-12969	32	8	,	,	PUNCT
fumecheng-12969	32	9	irrespective	irrespective	ADV
fumecheng-12969	32	10	of	of	ADP
fumecheng-12969	32	11	their	their	PRON
fumecheng-12969	32	12	features	feature	NOUN
fumecheng-12969	32	13	.	.	PUNCT
fumecheng-12969	33	1	this	this	PRON
fumecheng-12969	33	2	indicates	indicate	VERB
fumecheng-12969	33	3	that	that	SCONJ
fumecheng-12969	33	4	even	even	ADV
fumecheng-12969	33	5	though	though	SCONJ
fumecheng-12969	33	6	the	the	DET
fumecheng-12969	33	7	plates	plate	NOUN
fumecheng-12969	33	8	are	be	AUX
fumecheng-12969	33	9	formed	form	VERB
fumecheng-12969	33	10	of	of	ADP
fumecheng-12969	33	11	nonpolar	nonpolar	ADJ
fumecheng-12969	33	12	objects	object	NOUN
fumecheng-12969	33	13	,	,	PUNCT
fumecheng-12969	33	14	the	the	DET
fumecheng-12969	33	15	vdw	vdw	NOUN
fumecheng-12969	33	16	force	force	NOUN
fumecheng-12969	33	17	remains	remain	VERB
fumecheng-12969	33	18	present	present	ADJ
fumecheng-12969	33	19	.	.	PUNCT
fumecheng-12969	34	1	this	this	DET
fumecheng-12969	34	2	force	force	NOUN
fumecheng-12969	34	3	becomes	become	VERB
fumecheng-12969	34	4	crucial	crucial	ADJ
fumecheng-12969	34	5	in	in	ADP
fumecheng-12969	34	6	influencing	influence	VERB
fumecheng-12969	34	7	the	the	DET
fumecheng-12969	34	8	system	system	NOUN
fumecheng-12969	34	9	's	's	PART
fumecheng-12969	34	10	behavior	behavior	NOUN
fumecheng-12969	34	11	when	when	SCONJ
fumecheng-12969	34	12	the	the	DET
fumecheng-12969	34	13	plates	plate	NOUN
fumecheng-12969	34	14	are	be	AUX
fumecheng-12969	34	15	close	close	ADJ
fumecheng-12969	34	16	together	together	ADV
fumecheng-12969	34	17	.	.	PUNCT
fumecheng-12969	35	1	in	in	ADP
fumecheng-12969	35	2	recent	recent	ADJ
fumecheng-12969	35	3	years	year	NOUN
fumecheng-12969	35	4	,	,	PUNCT
fumecheng-12969	35	5	various	various	ADJ
fumecheng-12969	35	6	researchers	researcher	NOUN
fumecheng-12969	35	7	have	have	AUX
fumecheng-12969	35	8	particularly	particularly	ADV
fumecheng-12969	35	9	focused	focus	VERB
fumecheng-12969	35	10	to	to	PART
fumecheng-12969	35	11	overcome	overcome	VERB
fumecheng-12969	35	12	the	the	DET
fumecheng-12969	35	13	difficulty	difficulty	NOUN
fumecheng-12969	35	14	of	of	ADP
fumecheng-12969	35	15	obtaining	obtain	VERB
fumecheng-12969	35	16	analytical	analytical	ADJ
fumecheng-12969	35	17	solution	solution	NOUN
fumecheng-12969	35	18	for	for	ADP
fumecheng-12969	35	19	n	n	CCONJ
fumecheng-12969	35	20	/	/	SYM
fumecheng-12969	35	21	mems	mem	NOUN
fumecheng-12969	35	22	system	system	NOUN
fumecheng-12969	35	23	.	.	PUNCT
fumecheng-12969	36	1	these	these	DET
fumecheng-12969	36	2	solutions	solution	NOUN
fumecheng-12969	36	3	provide	provide	VERB
fumecheng-12969	36	4	fruitful	fruitful	ADJ
fumecheng-12969	36	5	insights	insight	NOUN
fumecheng-12969	36	6	that	that	PRON
fumecheng-12969	36	7	are	be	AUX
fumecheng-12969	36	8	vital	vital	ADJ
fumecheng-12969	36	9	for	for	ADP
fumecheng-12969	36	10	comprehensive	comprehensive	ADJ
fumecheng-12969	36	11	understanding	understanding	NOUN
fumecheng-12969	36	12	of	of	ADP
fumecheng-12969	36	13	the	the	DET
fumecheng-12969	36	14	behavior	behavior	NOUN
fumecheng-12969	36	15	and	and	CCONJ
fumecheng-12969	36	16	characteristics	characteristic	NOUN
fumecheng-12969	36	17	of	of	ADP
fumecheng-12969	36	18	these	these	DET
fumecheng-12969	36	19	advanced	advanced	ADJ
fumecheng-12969	36	20	systems	system	NOUN
fumecheng-12969	36	21	.	.	PUNCT
fumecheng-12969	37	1	most	most	ADJ
fumecheng-12969	37	2	of	of	ADP
fumecheng-12969	37	3	the	the	DET
fumecheng-12969	37	4	numerical	numerical	ADJ
fumecheng-12969	37	5	methods	method	NOUN
fumecheng-12969	37	6	often	often	ADV
fumecheng-12969	37	7	fail	fail	VERB
fumecheng-12969	37	8	to	to	PART
fumecheng-12969	37	9	explicitly	explicitly	ADV
fumecheng-12969	37	10	capture	capture	VERB
fumecheng-12969	37	11	the	the	DET
fumecheng-12969	37	12	nonlinear	nonlinear	ADJ
fumecheng-12969	37	13	frequency	frequency	NOUN
fumecheng-12969	37	14	amplitude	amplitude	NOUN
fumecheng-12969	37	15	relationship	relationship	NOUN
fumecheng-12969	37	16	.	.	PUNCT
fumecheng-12969	38	1	as	as	ADP
fumecheng-12969	38	2	a	a	DET
fumecheng-12969	38	3	result	result	NOUN
fumecheng-12969	38	4	,	,	PUNCT
fumecheng-12969	38	5	various	various	ADJ
fumecheng-12969	38	6	analytical	analytical	ADJ
fumecheng-12969	38	7	methods	method	NOUN
fumecheng-12969	38	8	have	have	AUX
fumecheng-12969	38	9	been	be	AUX
fumecheng-12969	38	10	developed	develop	VERB
fumecheng-12969	38	11	in	in	ADP
fumecheng-12969	38	12	the	the	DET
fumecheng-12969	38	13	literature	literature	NOUN
fumecheng-12969	38	14	to	to	PART
fumecheng-12969	38	15	address	address	VERB
fumecheng-12969	38	16	n	n	CCONJ
fumecheng-12969	38	17	/	/	SYM
fumecheng-12969	38	18	mems	mem	NOUN
fumecheng-12969	38	19	oscillators	oscillator	NOUN
fumecheng-12969	38	20	.	.	PUNCT
fumecheng-12969	39	1	these	these	DET
fumecheng-12969	39	2	methods	method	NOUN
fumecheng-12969	39	3	include	include	VERB
fumecheng-12969	39	4	the	the	DET
fumecheng-12969	39	5	variational	variational	ADJ
fumecheng-12969	39	6	iteration	iteration	NOUN
fumecheng-12969	39	7	approach	approach	NOUN
fumecheng-12969	39	8	[	[	X
fumecheng-12969	39	9	14	14	NUM
fumecheng-12969	39	10	]	]	PUNCT
fumecheng-12969	39	11	,	,	PUNCT
fumecheng-12969	39	12	energy	energy	NOUN
fumecheng-12969	39	13	balance	balance	NOUN
fumecheng-12969	39	14	technique	technique	NOUN
fumecheng-12969	39	15	[	[	X
fumecheng-12969	39	16	15	15	NUM
fumecheng-12969	39	17	]	]	PUNCT
fumecheng-12969	39	18	,	,	PUNCT
fumecheng-12969	39	19	iteration	iteration	NOUN
fumecheng-12969	39	20	perturbation	perturbation	NOUN
fumecheng-12969	39	21	scheme	scheme	NOUN
fumecheng-12969	40	1	[	[	X
fumecheng-12969	40	2	16	16	NUM
fumecheng-12969	40	3	]	]	PUNCT
fumecheng-12969	40	4	,	,	PUNCT
fumecheng-12969	40	5	residual	residual	ADJ
fumecheng-12969	40	6	harmonic	harmonic	ADJ
fumecheng-12969	40	7	balance	balance	NOUN
fumecheng-12969	40	8	strategy	strategy	NOUN
fumecheng-12969	40	9	[	[	X
fumecheng-12969	40	10	17	17	NUM
fumecheng-12969	40	11	]	]	PUNCT
fumecheng-12969	40	12	,	,	PUNCT
fumecheng-12969	40	13	parameter	parameter	NOUN
fumecheng-12969	40	14	expansion	expansion	NOUN
fumecheng-12969	40	15	approach	approach	NOUN
fumecheng-12969	40	16	[	[	X
fumecheng-12969	40	17	18	18	NUM
fumecheng-12969	40	18	]	]	PUNCT
fumecheng-12969	40	19	,	,	PUNCT
fumecheng-12969	40	20	adomian	adomian	NOUN
fumecheng-12969	40	21	decomposition	decomposition	NOUN
fumecheng-12969	40	22	technique	technique	NOUN
fumecheng-12969	40	23	[	[	X
fumecheng-12969	40	24	19	19	NUM
fumecheng-12969	40	25	]	]	PUNCT
fumecheng-12969	40	26	,	,	PUNCT
fumecheng-12969	40	27	power	power	NOUN
fumecheng-12969	40	28	series	series	NOUN
fumecheng-12969	40	29	[	[	X
fumecheng-12969	40	30	20	20	NUM
fumecheng-12969	40	31	]	]	PUNCT
fumecheng-12969	40	32	,	,	PUNCT
fumecheng-12969	40	33	he	he	PRON
fumecheng-12969	40	34	-	-	AUX
fumecheng-12969	40	35	transform	transform	VERB
fumecheng-12969	40	36	[	[	X
fumecheng-12969	40	37	21	21	NUM
fumecheng-12969	40	38	]	]	PUNCT
fumecheng-12969	40	39	,	,	PUNCT
fumecheng-12969	40	40	and	and	CCONJ
fumecheng-12969	40	41	frequency	frequency	NOUN
fumecheng-12969	40	42	formulation	formulation	NOUN
fumecheng-12969	41	1	[	[	X
fumecheng-12969	41	2	22	22	NUM
fumecheng-12969	41	3	]	]	PUNCT
fumecheng-12969	41	4	.	.	PUNCT
fumecheng-12969	42	1	the	the	DET
fumecheng-12969	42	2	homotopy	homotopy	NOUN
fumecheng-12969	42	3	perturbation	perturbation	NOUN
fumecheng-12969	42	4	method	method	NOUN
fumecheng-12969	42	5	(	(	PUNCT
fumecheng-12969	42	6	hpm	hpm	NOUN
fumecheng-12969	42	7	)	)	PUNCT
fumecheng-12969	42	8	is	be	AUX
fumecheng-12969	42	9	an	an	DET
fumecheng-12969	42	10	extremely	extremely	ADV
fumecheng-12969	42	11	successful	successful	ADJ
fumecheng-12969	42	12	tool	tool	NOUN
fumecheng-12969	42	13	for	for	ADP
fumecheng-12969	42	14	the	the	DET
fumecheng-12969	42	15	resolution	resolution	NOUN
fumecheng-12969	42	16	of	of	ADP
fumecheng-12969	42	17	a	a	DET
fumecheng-12969	42	18	diverse	diverse	ADJ
fumecheng-12969	42	19	array	array	NOUN
fumecheng-12969	42	20	of	of	ADP
fumecheng-12969	42	21	nonlinear	nonlinear	ADJ
fumecheng-12969	42	22	problems	problem	NOUN
fumecheng-12969	42	23	.	.	PUNCT
fumecheng-12969	43	1	this	this	DET
fumecheng-12969	43	2	method	method	NOUN
fumecheng-12969	43	3	involves	involve	VERB
fumecheng-12969	43	4	expressing	express	VERB
fumecheng-12969	43	5	the	the	DET
fumecheng-12969	43	6	outcomes	outcome	NOUN
fumecheng-12969	43	7	as	as	ADP
fumecheng-12969	43	8	a	a	DET
fumecheng-12969	43	9	sequence	sequence	NOUN
fumecheng-12969	43	10	that	that	PRON
fumecheng-12969	43	11	swiftly	swiftly	ADV
fumecheng-12969	43	12	turns	turn	VERB
fumecheng-12969	43	13	to	to	ADP
fumecheng-12969	43	14	precise	precise	ADJ
fumecheng-12969	43	15	results	result	NOUN
fumecheng-12969	43	16	.	.	PUNCT
fumecheng-12969	44	1	a	a	DET
fumecheng-12969	44	2	standout	standout	NOUN
fumecheng-12969	44	3	feature	feature	NOUN
fumecheng-12969	44	4	of	of	ADP
fumecheng-12969	44	5	hpm	hpm	NOUN
fumecheng-12969	44	6	is	be	AUX
fumecheng-12969	44	7	analysis	analysis	NOUN
fumecheng-12969	44	8	of	of	ADP
fumecheng-12969	44	9	nanobeam	nanobeam	NOUN
fumecheng-12969	44	10	-	-	PUNCT
fumecheng-12969	44	11	based	base	VERB
fumecheng-12969	44	12	microstructure	microstructure	NOUN
fumecheng-12969	44	13	in	in	ADP
fumecheng-12969	44	14	n	n	CCONJ
fumecheng-12969	44	15	/	/	SYM
fumecheng-12969	44	16	mems	mem	NOUN
fumecheng-12969	44	17	system	system	NOUN
fumecheng-12969	44	18	using	use	VERB
fumecheng-12969	44	19	van	van	PROPN
fumecheng-12969	44	20	der	der	ADJ
fumecheng-12969	44	21	waals	waal	NOUN
fumecheng-12969	44	22	forces	force	VERB
fumecheng-12969	44	23	675	675	NUM
fumecheng-12969	44	24	its	its	PRON
fumecheng-12969	44	25	ability	ability	NOUN
fumecheng-12969	44	26	to	to	PART
fumecheng-12969	44	27	achieve	achieve	VERB
fumecheng-12969	44	28	high	high	ADJ
fumecheng-12969	44	29	accuracy	accuracy	NOUN
fumecheng-12969	44	30	with	with	ADP
fumecheng-12969	44	31	just	just	ADV
fumecheng-12969	44	32	a	a	DET
fumecheng-12969	44	33	single	single	ADJ
fumecheng-12969	44	34	iteration	iteration	NOUN
fumecheng-12969	44	35	.	.	PUNCT
fumecheng-12969	45	1	this	this	DET
fumecheng-12969	45	2	characteristic	characteristic	NOUN
fumecheng-12969	45	3	significantly	significantly	ADV
fumecheng-12969	45	4	enhances	enhance	VERB
fumecheng-12969	45	5	its	its	PRON
fumecheng-12969	45	6	appeal	appeal	NOUN
fumecheng-12969	45	7	and	and	CCONJ
fumecheng-12969	45	8	practicality	practicality	NOUN
fumecheng-12969	45	9	in	in	ADP
fumecheng-12969	45	10	numerous	numerous	ADJ
fumecheng-12969	45	11	fields	field	NOUN
fumecheng-12969	45	12	of	of	ADP
fumecheng-12969	45	13	technology	technology	NOUN
fumecheng-12969	45	14	and	and	CCONJ
fumecheng-12969	45	15	scientific	scientific	ADJ
fumecheng-12969	45	16	research	research	NOUN
fumecheng-12969	45	17	.	.	PUNCT
fumecheng-12969	46	1	pull	pull	NOUN
fumecheng-12969	46	2	-	-	PUNCT
fumecheng-12969	46	3	in	in	ADP
fumecheng-12969	46	4	instability	instability	NOUN
fumecheng-12969	46	5	exhibits	exhibit	VERB
fumecheng-12969	46	6	significant	significant	ADJ
fumecheng-12969	46	7	nonlinearity	nonlinearity	NOUN
fumecheng-12969	46	8	as	as	ADP
fumecheng-12969	46	9	a	a	DET
fumecheng-12969	46	10	result	result	NOUN
fumecheng-12969	46	11	of	of	ADP
fumecheng-12969	46	12	the	the	DET
fumecheng-12969	46	13	inverse	inverse	NOUN
fumecheng-12969	46	14	-	-	PUNCT
fumecheng-12969	46	15	square	square	NOUN
fumecheng-12969	46	16	relationship	relationship	NOUN
fumecheng-12969	46	17	of	of	ADP
fumecheng-12969	46	18	electrostatic	electrostatic	ADJ
fumecheng-12969	46	19	forces	force	NOUN
fumecheng-12969	46	20	relative	relative	ADJ
fumecheng-12969	46	21	to	to	ADP
fumecheng-12969	46	22	the	the	DET
fumecheng-12969	46	23	gap	gap	NOUN
fumecheng-12969	46	24	distance	distance	NOUN
fumecheng-12969	46	25	.	.	PUNCT
fumecheng-12969	47	1	nonlinear	nonlinear	ADJ
fumecheng-12969	47	2	behaviors	behavior	NOUN
fumecheng-12969	47	3	demand	demand	VERB
fumecheng-12969	47	4	iterative	iterative	NOUN
fumecheng-12969	47	5	and	and	CCONJ
fumecheng-12969	47	6	perturbation	perturbation	NOUN
fumecheng-12969	47	7	techniques	technique	NOUN
fumecheng-12969	47	8	to	to	PART
fumecheng-12969	47	9	identify	identify	VERB
fumecheng-12969	47	10	the	the	DET
fumecheng-12969	47	11	crucial	crucial	ADJ
fumecheng-12969	47	12	points	point	NOUN
fumecheng-12969	47	13	related	relate	VERB
fumecheng-12969	47	14	to	to	ADP
fumecheng-12969	47	15	instability	instability	NOUN
fumecheng-12969	47	16	.	.	PUNCT
fumecheng-12969	48	1	consequently	consequently	ADV
fumecheng-12969	48	2	,	,	PUNCT
fumecheng-12969	48	3	hpm	hpm	NOUN
fumecheng-12969	48	4	provides	provide	VERB
fumecheng-12969	48	5	a	a	DET
fumecheng-12969	48	6	feasible	feasible	ADJ
fumecheng-12969	48	7	analytical	analytical	ADJ
fumecheng-12969	48	8	method	method	NOUN
fumecheng-12969	48	9	for	for	ADP
fumecheng-12969	48	10	deriving	derive	VERB
fumecheng-12969	48	11	approximation	approximation	NOUN
fumecheng-12969	48	12	solutions	solution	NOUN
fumecheng-12969	48	13	[	[	X
fumecheng-12969	48	14	23	23	NUM
fumecheng-12969	48	15	]	]	PUNCT
fumecheng-12969	48	16	.	.	PUNCT
fumecheng-12969	49	1	qayyum	qayyum	PROPN
fumecheng-12969	49	2	and	and	CCONJ
fumecheng-12969	49	3	oscar	oscar	PRON
fumecheng-12969	49	4	[	[	X
fumecheng-12969	49	5	24	24	NUM
fumecheng-12969	49	6	]	]	PUNCT
fumecheng-12969	49	7	proposed	propose	VERB
fumecheng-12969	49	8	the	the	DET
fumecheng-12969	49	9	least	least	ADJ
fumecheng-12969	49	10	square	square	ADJ
fumecheng-12969	49	11	homotopy	homotopy	NOUN
fumecheng-12969	49	12	perturbation	perturbation	NOUN
fumecheng-12969	49	13	approach	approach	NOUN
fumecheng-12969	49	14	to	to	PART
fumecheng-12969	49	15	analyze	analyze	VERB
fumecheng-12969	49	16	multiple	multiple	ADJ
fumecheng-12969	49	17	order	order	NOUN
fumecheng-12969	49	18	problems	problem	NOUN
fumecheng-12969	49	19	related	relate	VERB
fumecheng-12969	49	20	to	to	ADP
fumecheng-12969	49	21	boundary	boundary	ADJ
fumecheng-12969	49	22	values	value	NOUN
fumecheng-12969	49	23	.	.	PUNCT
fumecheng-12969	50	1	anjum	anjum	PROPN
fumecheng-12969	50	2	and	and	CCONJ
fumecheng-12969	50	3	he	he	PRON
fumecheng-12969	51	1	[	[	X
fumecheng-12969	51	2	25	25	NUM
fumecheng-12969	51	3	]	]	PUNCT
fumecheng-12969	51	4	studied	study	VERB
fumecheng-12969	51	5	the	the	DET
fumecheng-12969	51	6	nonlinear	nonlinear	ADJ
fumecheng-12969	51	7	vibration	vibration	NOUN
fumecheng-12969	51	8	properties	property	NOUN
fumecheng-12969	51	9	of	of	ADP
fumecheng-12969	51	10	nanotube	nanotube	NOUN
fumecheng-12969	51	11	-	-	PUNCT
fumecheng-12969	51	12	based	base	VERB
fumecheng-12969	51	13	n	n	CCONJ
fumecheng-12969	51	14	/	/	SYM
fumecheng-12969	51	15	mems	mem	NOUN
fumecheng-12969	51	16	oscillators	oscillator	NOUN
fumecheng-12969	51	17	using	use	VERB
fumecheng-12969	51	18	the	the	DET
fumecheng-12969	51	19	hpm	hpm	NOUN
fumecheng-12969	51	20	and	and	CCONJ
fumecheng-12969	51	21	the	the	DET
fumecheng-12969	51	22	laplace	laplace	NOUN
fumecheng-12969	51	23	transform	transform	NOUN
fumecheng-12969	51	24	.	.	PUNCT
fumecheng-12969	52	1	hpm	hpm	PROPN
fumecheng-12969	52	2	has	have	AUX
fumecheng-12969	52	3	been	be	AUX
fumecheng-12969	52	4	widely	widely	ADV
fumecheng-12969	52	5	regarded	regard	VERB
fumecheng-12969	52	6	as	as	ADP
fumecheng-12969	52	7	an	an	DET
fumecheng-12969	52	8	auspicious	auspicious	ADJ
fumecheng-12969	52	9	and	and	CCONJ
fumecheng-12969	52	10	innovative	innovative	ADJ
fumecheng-12969	52	11	approach	approach	NOUN
fumecheng-12969	52	12	for	for	ADP
fumecheng-12969	52	13	addressing	address	VERB
fumecheng-12969	52	14	nonlinear	nonlinear	ADJ
fumecheng-12969	52	15	problems	problem	NOUN
fumecheng-12969	52	16	[	[	X
fumecheng-12969	52	17	26	26	NUM
fumecheng-12969	52	18	-	-	SYM
fumecheng-12969	52	19	28	28	NUM
fumecheng-12969	52	20	]	]	PUNCT
fumecheng-12969	52	21	.	.	PUNCT
fumecheng-12969	53	1	on	on	ADP
fumecheng-12969	53	2	the	the	DET
fumecheng-12969	53	3	other	other	ADJ
fumecheng-12969	53	4	hand	hand	NOUN
fumecheng-12969	53	5	,	,	PUNCT
fumecheng-12969	53	6	the	the	DET
fumecheng-12969	53	7	sumudu	sumudu	NOUN
fumecheng-12969	53	8	transform	transform	VERB
fumecheng-12969	53	9	[	[	X
fumecheng-12969	53	10	29	29	NUM
fumecheng-12969	53	11	]	]	PUNCT
fumecheng-12969	53	12	is	be	AUX
fumecheng-12969	53	13	a	a	DET
fumecheng-12969	53	14	mathematical	mathematical	ADJ
fumecheng-12969	53	15	tool	tool	NOUN
fumecheng-12969	53	16	used	use	VERB
fumecheng-12969	53	17	to	to	PART
fumecheng-12969	53	18	simplify	simplify	VERB
fumecheng-12969	53	19	the	the	DET
fumecheng-12969	53	20	analysis	analysis	NOUN
fumecheng-12969	53	21	of	of	ADP
fumecheng-12969	53	22	differential	differential	ADJ
fumecheng-12969	53	23	equations	equation	NOUN
fumecheng-12969	53	24	.	.	PUNCT
fumecheng-12969	54	1	it	it	PRON
fumecheng-12969	54	2	simplifies	simplify	VERB
fumecheng-12969	54	3	the	the	DET
fumecheng-12969	54	4	solution	solution	NOUN
fumecheng-12969	54	5	of	of	ADP
fumecheng-12969	54	6	differential	differential	ADJ
fumecheng-12969	54	7	problems	problem	NOUN
fumecheng-12969	54	8	by	by	ADP
fumecheng-12969	54	9	converting	convert	VERB
fumecheng-12969	54	10	them	they	PRON
fumecheng-12969	54	11	into	into	ADP
fumecheng-12969	54	12	an	an	DET
fumecheng-12969	54	13	algebraic	algebraic	ADJ
fumecheng-12969	54	14	formula	formula	NOUN
fumecheng-12969	54	15	.	.	PUNCT
fumecheng-12969	55	1	it	it	PRON
fumecheng-12969	55	2	is	be	AUX
fumecheng-12969	55	3	highly	highly	ADV
fumecheng-12969	55	4	effective	effective	ADJ
fumecheng-12969	55	5	in	in	ADP
fumecheng-12969	55	6	handling	handle	VERB
fumecheng-12969	55	7	with	with	ADP
fumecheng-12969	55	8	initial	initial	ADJ
fumecheng-12969	55	9	value	value	NOUN
fumecheng-12969	55	10	problems	problem	NOUN
fumecheng-12969	55	11	and	and	CCONJ
fumecheng-12969	55	12	certain	certain	ADJ
fumecheng-12969	55	13	types	type	NOUN
fumecheng-12969	55	14	of	of	ADP
fumecheng-12969	55	15	nonlinear	nonlinear	ADJ
fumecheng-12969	55	16	problems	problem	NOUN
fumecheng-12969	55	17	[	[	X
fumecheng-12969	55	18	30	30	NUM
fumecheng-12969	55	19	,	,	PUNCT
fumecheng-12969	55	20	31	31	NUM
fumecheng-12969	55	21	]	]	PUNCT
fumecheng-12969	55	22	.	.	PUNCT
fumecheng-12969	56	1	in	in	ADP
fumecheng-12969	56	2	this	this	DET
fumecheng-12969	56	3	work	work	NOUN
fumecheng-12969	56	4	,	,	PUNCT
fumecheng-12969	56	5	we	we	PRON
fumecheng-12969	56	6	design	design	VERB
fumecheng-12969	56	7	the	the	DET
fumecheng-12969	56	8	homotopy	homotopy	NOUN
fumecheng-12969	56	9	transformation	transformation	NOUN
fumecheng-12969	56	10	scheme	scheme	NOUN
fumecheng-12969	56	11	(	(	PUNCT
fumecheng-12969	56	12	hts	hts	PROPN
fumecheng-12969	56	13	)	)	PUNCT
fumecheng-12969	56	14	through	through	ADP
fumecheng-12969	56	15	the	the	DET
fumecheng-12969	56	16	association	association	NOUN
fumecheng-12969	56	17	of	of	ADP
fumecheng-12969	56	18	sumudu	sumudu	NOUN
fumecheng-12969	56	19	transform	transform	NOUN
fumecheng-12969	56	20	and	and	CCONJ
fumecheng-12969	56	21	the	the	DET
fumecheng-12969	56	22	homotopy	homotopy	NOUN
fumecheng-12969	56	23	perturbation	perturbation	NOUN
fumecheng-12969	56	24	method	method	NOUN
fumecheng-12969	56	25	.	.	PUNCT
fumecheng-12969	57	1	this	this	DET
fumecheng-12969	57	2	technique	technique	NOUN
fumecheng-12969	57	3	is	be	AUX
fumecheng-12969	57	4	straightforward	straightforward	ADJ
fumecheng-12969	57	5	to	to	PART
fumecheng-12969	57	6	utilize	utilize	VERB
fumecheng-12969	57	7	for	for	ADP
fumecheng-12969	57	8	nonlinear	nonlinear	ADJ
fumecheng-12969	57	9	differential	differential	ADJ
fumecheng-12969	57	10	problems	problem	NOUN
fumecheng-12969	57	11	.	.	PUNCT
fumecheng-12969	58	1	using	use	VERB
fumecheng-12969	58	2	this	this	DET
fumecheng-12969	58	3	scheme	scheme	NOUN
fumecheng-12969	58	4	,	,	PUNCT
fumecheng-12969	58	5	we	we	PRON
fumecheng-12969	58	6	can	can	AUX
fumecheng-12969	58	7	obtain	obtain	VERB
fumecheng-12969	58	8	the	the	DET
fumecheng-12969	58	9	results	result	NOUN
fumecheng-12969	58	10	of	of	ADP
fumecheng-12969	58	11	the	the	DET
fumecheng-12969	58	12	n	n	CCONJ
fumecheng-12969	58	13	/	/	SYM
fumecheng-12969	58	14	mems	mem	NOUN
fumecheng-12969	58	15	system	system	NOUN
fumecheng-12969	58	16	in	in	ADP
fumecheng-12969	58	17	the	the	DET
fumecheng-12969	58	18	form	form	NOUN
fumecheng-12969	58	19	of	of	ADP
fumecheng-12969	58	20	a	a	DET
fumecheng-12969	58	21	convergent	convergent	NOUN
fumecheng-12969	58	22	series	series	NOUN
fumecheng-12969	58	23	.	.	PUNCT
fumecheng-12969	59	1	we	we	PRON
fumecheng-12969	59	2	focus	focus	VERB
fumecheng-12969	59	3	on	on	ADP
fumecheng-12969	59	4	the	the	DET
fumecheng-12969	59	5	solution	solution	NOUN
fumecheng-12969	59	6	of	of	ADP
fumecheng-12969	59	7	nonlinear	nonlinear	ADJ
fumecheng-12969	59	8	behavior	behavior	NOUN
fumecheng-12969	59	9	of	of	ADP
fumecheng-12969	59	10	dynamic	dynamic	ADJ
fumecheng-12969	59	11	oscillatory	oscillatory	NOUN
fumecheng-12969	59	12	for	for	ADP
fumecheng-12969	59	13	doubly	doubly	ADV
fumecheng-12969	59	14	clamped	clamp	VERB
fumecheng-12969	59	15	nanobeam	nanobeam	NOUN
fumecheng-12969	59	16	that	that	PRON
fumecheng-12969	59	17	is	be	AUX
fumecheng-12969	59	18	controlled	control	VERB
fumecheng-12969	59	19	and	and	CCONJ
fumecheng-12969	59	20	governed	govern	VERB
fumecheng-12969	59	21	by	by	ADP
fumecheng-12969	59	22	vdw	vdw	NOUN
fumecheng-12969	59	23	forces	force	NOUN
fumecheng-12969	59	24	.	.	PUNCT
fumecheng-12969	60	1	we	we	PRON
fumecheng-12969	60	2	evaluate	evaluate	VERB
fumecheng-12969	60	3	the	the	DET
fumecheng-12969	60	4	outcomes	outcome	NOUN
fumecheng-12969	60	5	of	of	ADP
fumecheng-12969	60	6	hts	hts	PROPN
fumecheng-12969	60	7	by	by	ADP
fumecheng-12969	60	8	comparing	compare	VERB
fumecheng-12969	60	9	them	they	PRON
fumecheng-12969	60	10	to	to	ADP
fumecheng-12969	60	11	the	the	DET
fumecheng-12969	60	12	derived	derive	VERB
fumecheng-12969	60	13	results	result	NOUN
fumecheng-12969	60	14	via	via	ADP
fumecheng-12969	60	15	some	some	DET
fumecheng-12969	60	16	mathematical	mathematical	ADJ
fumecheng-12969	60	17	software	software	NOUN
fumecheng-12969	60	18	by	by	ADP
fumecheng-12969	60	19	utilizing	utilize	VERB
fumecheng-12969	60	20	the	the	DET
fumecheng-12969	60	21	rk	rk	NOUN
fumecheng-12969	60	22	method	method	NOUN
fumecheng-12969	60	23	of	of	ADP
fumecheng-12969	60	24	4th	4th	ADJ
fumecheng-12969	60	25	order	order	NOUN
fumecheng-12969	60	26	and	and	CCONJ
fumecheng-12969	60	27	other	other	ADJ
fumecheng-12969	60	28	established	establish	VERB
fumecheng-12969	60	29	schemes	scheme	NOUN
fumecheng-12969	60	30	.	.	PUNCT
fumecheng-12969	61	1	2	2	X
fumecheng-12969	61	2	.	.	NUM
fumecheng-12969	61	3	basic	basic	ADJ
fumecheng-12969	61	4	idea	idea	NOUN
fumecheng-12969	61	5	of	of	ADP
fumecheng-12969	61	6	sumudu	sumudu	NOUN
fumecheng-12969	61	7	transformation	transformation	NOUN
fumecheng-12969	61	8	let	let	VERB
fumecheng-12969	61	9	a	a	PRON
fumecheng-12969	61	10	be	be	AUX
fumecheng-12969	61	11	the	the	DET
fumecheng-12969	61	12	set	set	NOUN
fumecheng-12969	61	13	of	of	ADP
fumecheng-12969	61	14	function	function	NOUN
fumecheng-12969	61	15	,	,	PUNCT
fumecheng-12969	61	16	which	which	PRON
fumecheng-12969	61	17	is	be	AUX
fumecheng-12969	61	18	defined	define	VERB
fumecheng-12969	61	19	as	as	ADP
fumecheng-12969	61	20	[	[	X
fumecheng-12969	61	21	32	32	NUM
fumecheng-12969	61	22	]	]	SYM
fumecheng-12969	61	23	:	:	PUNCT
fumecheng-12969	61	24	1	1	NUM
fumecheng-12969	61	25	2	2	NUM
fumecheng-12969	61	26	(	(	PUNCT
fumecheng-12969	61	27	)	)	PUNCT
fumecheng-12969	61	28	:	:	PUNCT
fumecheng-12969	61	29	m	m	X
fumecheng-12969	61	30	,	,	PUNCT
fumecheng-12969	61	31	,	,	PUNCT
fumecheng-12969	61	32	(	(	PUNCT
fumecheng-12969	61	33	)	)	PUNCT
fumecheng-12969	61	34	,	,	PUNCT
fumecheng-12969	61	35	(	(	PUNCT
fumecheng-12969	61	36	1	1	X
fumecheng-12969	61	37	)	)	PUNCT
fumecheng-12969	62	1	[	[	X
fumecheng-12969	62	2	0	0	NUM
fumecheng-12969	62	3	,	,	PUNCT
fumecheng-12969	62	4	)	)	PUNCT
fumecheng-12969	62	5	.j	.j	PROPN
fumecheng-12969	63	1	t	t	NOUN
fumecheng-12969	63	2	r	r	NOUN
fumecheng-12969	63	3	ja	ja	PROPN
fumecheng-12969	63	4	t	t	NOUN
fumecheng-12969	63	5	r	r	NOUN
fumecheng-12969	63	6	r	r	NOUN
fumecheng-12969	63	7	t	t	NOUN
fumecheng-12969	63	8	me	i	PRON
fumecheng-12969	63	9	if	if	SCONJ
fumecheng-12969	63	10	t	t	PROPN
fumecheng-12969	63	11	=	=	VERB
fumecheng-12969	63	12			ADP
fumecheng-12969	63	13			ADJ
fumecheng-12969	63	14			PROPN
fumecheng-12969	63	15			PROPN
fumecheng-12969	63	16			NOUN
fumecheng-12969	63	17	−	−	PROPN
fumecheng-12969	63	18			NOUN
fumecheng-12969	63	19			PROPN
fumecheng-12969	63	20	(	(	PUNCT
fumecheng-12969	63	21	1	1	NUM
fumecheng-12969	63	22	)	)	PUNCT
fumecheng-12969	63	23	for	for	ADP
fumecheng-12969	63	24	every	every	DET
fumecheng-12969	63	25	function	function	NOUN
fumecheng-12969	63	26	in	in	ADP
fumecheng-12969	63	27	the	the	DET
fumecheng-12969	63	28	set	set	NOUN
fumecheng-12969	63	29	a	a	X
fumecheng-12969	63	30	,	,	PUNCT
fumecheng-12969	63	31	it	it	PRON
fumecheng-12969	63	32	is	be	AUX
fumecheng-12969	63	33	necessary	necessary	ADJ
fumecheng-12969	63	34	for	for	SCONJ
fumecheng-12969	63	35	the	the	DET
fumecheng-12969	63	36	constant	constant	ADJ
fumecheng-12969	63	37	m	m	NOUN
fumecheng-12969	63	38	to	to	PART
fumecheng-12969	63	39	be	be	AUX
fumecheng-12969	63	40	a	a	DET
fumecheng-12969	63	41	finite	finite	ADJ
fumecheng-12969	63	42	number	number	NOUN
fumecheng-12969	63	43	,	,	PUNCT
fumecheng-12969	63	44	whereas	whereas	SCONJ
fumecheng-12969	63	45	the	the	DET
fumecheng-12969	63	46	constants	constant	NOUN
fumecheng-12969	63	47	r1	r1	PROPN
fumecheng-12969	63	48	and	and	CCONJ
fumecheng-12969	63	49	r2	r2	PROPN
fumecheng-12969	63	50	may	may	AUX
fumecheng-12969	63	51	be	be	AUX
fumecheng-12969	63	52	either	either	CCONJ
fumecheng-12969	63	53	finite	finite	ADJ
fumecheng-12969	63	54	or	or	CCONJ
fumecheng-12969	63	55	infinite	infinite	NOUN
fumecheng-12969	63	56	.	.	PUNCT
fumecheng-12969	64	1	furthermore	furthermore	ADV
fumecheng-12969	64	2	,	,	PUNCT
fumecheng-12969	64	3	the	the	DET
fumecheng-12969	64	4	sumudu	sumudu	NOUN
fumecheng-12969	64	5	transform	transform	NOUN
fumecheng-12969	64	6	is	be	AUX
fumecheng-12969	64	7	defined	define	VERB
fumecheng-12969	64	8	as	as	ADP
fumecheng-12969	64	9	an	an	DET
fumecheng-12969	64	10	integral	integral	ADJ
fumecheng-12969	64	11	equation	equation	NOUN
fumecheng-12969	64	12	such	such	ADJ
fumecheng-12969	64	13	that	that	SCONJ
fumecheng-12969	64	14	=	=	SYM
fumecheng-12969	64	15	0	0	NUM
fumecheng-12969	64	16	0	0	NUM
fumecheng-12969	64	17	1	1	NUM
fumecheng-12969	64	18	(	(	PUNCT
fumecheng-12969	64	19	)	)	PUNCT
fumecheng-12969	64	20	(	(	PUNCT
fumecheng-12969	64	21	)	)	PUNCT
fumecheng-12969	64	22	(	(	PUNCT
fumecheng-12969	64	23	)	)	PUNCT
fumecheng-12969	64	24	(	(	PUNCT
fumecheng-12969	64	25	)	)	PUNCT
fumecheng-12969	64	26	,	,	PUNCT
fumecheng-12969	64	27	0	0	NUM
fumecheng-12969	64	28	,	,	PUNCT
fumecheng-12969	64	29	t	t	X
fumecheng-12969	64	30	tt	tt	PROPN
fumecheng-12969	64	31	r	r	NOUN
fumecheng-12969	64	32	t	t	X
fumecheng-12969	64	33	e	e	X
fumecheng-12969	64	34	dt	dt	NOUN
fumecheng-12969	64	35	t	t	PROPN
fumecheng-12969	64	36	e	e	X
fumecheng-12969	64	37	dt	dt	X
fumecheng-12969	64	38	t	t	PROPN
fumecheng-12969	64	39			PROPN
fumecheng-12969	64	40			PROPN
fumecheng-12969	64	41			PROPN
fumecheng-12969	64	42			PROPN
fumecheng-12969	64	43			VERB
fumecheng-12969	64	44			NOUN
fumecheng-12969	64	45	−	−	NOUN
fumecheng-12969	64	46	−	−	PROPN
fumecheng-12969	65	1			PROPN
fumecheng-12969	65	2			PROPN
fumecheng-12969	65	3			PROPN
fumecheng-12969	65	4	=	=	PUNCT
fumecheng-12969	65	5	=	=	PUNCT
fumecheng-12969	65	6			NOUN
fumecheng-12969	65	7			X
fumecheng-12969	65	8	(	(	PUNCT
fumecheng-12969	65	9	2	2	X
fumecheng-12969	65	10	)	)	PUNCT
fumecheng-12969	65	11	where	where	SCONJ
fumecheng-12969	65	12	θ	θ	PROPN
fumecheng-12969	65	13	is	be	AUX
fumecheng-12969	65	14	an	an	DET
fumecheng-12969	65	15	independent	independent	NOUN
fumecheng-12969	65	16	of	of	ADP
fumecheng-12969	65	17	t	t	PROPN
fumecheng-12969	65	18	parameter	parameter	NOUN
fumecheng-12969	65	19	that	that	PRON
fumecheng-12969	65	20	might	might	AUX
fumecheng-12969	65	21	be	be	AUX
fumecheng-12969	65	22	real	real	ADJ
fumecheng-12969	65	23	or	or	CCONJ
fumecheng-12969	65	24	complex	complex	ADJ
fumecheng-12969	65	25	.	.	PUNCT
fumecheng-12969	66	1	the	the	DET
fumecheng-12969	66	2	inversion	inversion	NOUN
fumecheng-12969	66	3	expression	expression	NOUN
fumecheng-12969	66	4	for	for	ADP
fumecheng-12969	66	5	st	st	PROPN
fumecheng-12969	66	6	is	be	AUX
fumecheng-12969	66	7	as	as	SCONJ
fumecheng-12969	66	8	follows	follow	VERB
fumecheng-12969	66	9			ADJ
fumecheng-12969	66	10			NOUN
fumecheng-12969	66	11	1	1	NUM
fumecheng-12969	66	12	1	1	NUM
fumecheng-12969	66	13	(	(	PUNCT
fumecheng-12969	66	14	)	)	PUNCT
fumecheng-12969	66	15	.	.	PUNCT
fumecheng-12969	67	1	2	2	NUM
fumecheng-12969	67	2	a	a	PRON
fumecheng-12969	67	3	i	i	PRON
fumecheng-12969	67	4	t	t	PROPN
fumecheng-12969	67	5	a	a	DET
fumecheng-12969	67	6	i	i	NOUN
fumecheng-12969	68	1	d	d	NOUN
fumecheng-12969	68	2	r	r	NOUN
fumecheng-12969	68	3	e	e	NOUN
fumecheng-12969	68	4	r	r	NOUN
fumecheng-12969	68	5	i	i	PRON
fumecheng-12969	68	6			X
fumecheng-12969	68	7			X
fumecheng-12969	68	8			X
fumecheng-12969	68	9			X
fumecheng-12969	68	10			X
fumecheng-12969	69	1	+	+	CCONJ
fumecheng-12969	69	2			VERB
fumecheng-12969	69	3	−	−	ADP
fumecheng-12969	69	4			NOUN
fumecheng-12969	69	5			NOUN
fumecheng-12969	69	6			NOUN
fumecheng-12969	69	7	=	=	SYM
fumecheng-12969	69	8			PROPN
fumecheng-12969	70	1			INTJ
fumecheng-12969	70	2			PROPN
fumecheng-12969	70	3			ADJ
fumecheng-12969	70	4			NOUN
fumecheng-12969	70	5			PUNCT
fumecheng-12969	70	6	(	(	PUNCT
fumecheng-12969	70	7	3	3	X
fumecheng-12969	70	8	)	)	PUNCT
fumecheng-12969	70	9	the	the	DET
fumecheng-12969	70	10	subsequent	subsequent	ADJ
fumecheng-12969	70	11	characteristics	characteristic	NOUN
fumecheng-12969	70	12	are	be	AUX
fumecheng-12969	70	13	beneficial	beneficial	ADJ
fumecheng-12969	70	14	in	in	ADP
fumecheng-12969	70	15	the	the	DET
fumecheng-12969	70	16	calculations	calculation	NOUN
fumecheng-12969	70	17	of	of	ADP
fumecheng-12969	70	18	sumudu	sumudu	NOUN
fumecheng-12969	70	19	space	space	NOUN
fumecheng-12969	70	20	.	.	PUNCT
fumecheng-12969	71	1	676	676	NUM
fumecheng-12969	71	2	m.	m.	NOUN
fumecheng-12969	71	3	nadeem	nadeem	NOUN
fumecheng-12969	71	4	,	,	PUNCT
fumecheng-12969	71	5	q.-t	q.-t	NOUN
fumecheng-12969	71	6	.	.	PUNCT
fumecheng-12969	72	1	ain	ain	PROPN
fumecheng-12969	72	2	,	,	PUNCT
fumecheng-12969	72	3	n.	n.	PROPN
fumecheng-12969	72	4	almakayeel	almakayeel	PROPN
fumecheng-12969	72	5	,	,	PUNCT
fumecheng-12969	72	6	y.	y.	PROPN
fumecheng-12969	72	7	shao	shao	PROPN
fumecheng-12969	72	8	,	,	PUNCT
fumecheng-12969	72	9	s.	s.	PROPN
fumecheng-12969	72	10	wang	wang	PROPN
fumecheng-12969	72	11	,	,	PUNCT
fumecheng-12969	72	12	m.	m.	PROPN
fumecheng-12969	72	13	shutaywi	shutaywi	PROPN
fumecheng-12969	72	14			PROPN
fumecheng-12969	72	15			PROPN
fumecheng-12969	72	16	(	(	PUNCT
fumecheng-12969	72	17	)	)	PUNCT
fumecheng-12969	72	18			PROPN
fumecheng-12969	72	19			PROPN
fumecheng-12969	72	20	(	(	PUNCT
fumecheng-12969	72	21	)	)	PUNCT
fumecheng-12969	72	22	(	(	PUNCT
fumecheng-12969	72	23	)	)	PUNCT
fumecheng-12969	72	24	(	(	PUNCT
fumecheng-12969	72	25	)	)	PUNCT
fumecheng-12969	72	26	(	(	PUNCT
fumecheng-12969	72	27	)	)	PUNCT
fumecheng-12969	72	28	2	2	NUM
fumecheng-12969	72	29	2	2	NUM
fumecheng-12969	72	30	1	1	NUM
fumecheng-12969	72	31	!	!	PUNCT
fumecheng-12969	72	32	,	,	PUNCT
fumecheng-12969	72	33	,	,	PUNCT
fumecheng-12969	72	34	0	0	NUM
fumecheng-12969	72	35	(	(	PUNCT
fumecheng-12969	72	36	)	)	PUNCT
fumecheng-12969	72	37	(	(	PUNCT
fumecheng-12969	72	38	)	)	PUNCT
fumecheng-12969	72	39	,	,	PUNCT
fumecheng-12969	72	40	0	0	NUM
fumecheng-12969	72	41	'	'	NUM
fumecheng-12969	72	42	0	0	NUM
fumecheng-12969	72	43	(	(	PUNCT
fumecheng-12969	72	44	)	)	PUNCT
fumecheng-12969	72	45	(	(	PUNCT
fumecheng-12969	72	46	)	)	PUNCT
fumecheng-12969	72	47	,	,	PUNCT
fumecheng-12969	72	48	0	0	NUM
fumecheng-12969	72	49	0	0	NUM
fumecheng-12969	72	50	(	(	PUNCT
fumecheng-12969	72	51	)	)	PUNCT
fumecheng-12969	72	52	(	(	PUNCT
fumecheng-12969	72	53	)	)	PUNCT
fumecheng-12969	72	54	...	...	PUNCT
fumecheng-12969	72	55	.	.	PUNCT
fumecheng-12969	73	1	n	n	CCONJ
fumecheng-12969	73	2	n	n	CCONJ
fumecheng-12969	73	3	n	n	CCONJ
fumecheng-12969	73	4	n	n	CCONJ
fumecheng-12969	73	5	n	n	CCONJ
fumecheng-12969	73	6	n	n	ADP
fumecheng-12969	73	7	t	t	PROPN
fumecheng-12969	73	8	n	n	CCONJ
fumecheng-12969	73	9	n	n	PROPN
fumecheng-12969	74	1	r	r	NOUN
fumecheng-12969	74	2	t	t	NOUN
fumecheng-12969	74	3	r	r	NOUN
fumecheng-12969	74	4	t	t	NOUN
fumecheng-12969	74	5	r	r	NOUN
fumecheng-12969	74	6	t	t	NOUN
fumecheng-12969	74	7			SYM
fumecheng-12969	74	8			X
fumecheng-12969	74	9			NOUN
fumecheng-12969	74	10			PROPN
fumecheng-12969	74	11			PROPN
fumecheng-12969	74	12			PROPN
fumecheng-12969	74	13			PROPN
fumecheng-12969	74	14			PROPN
fumecheng-12969	74	15			PROPN
fumecheng-12969	74	16			PROPN
fumecheng-12969	75	1			PROPN
fumecheng-12969	75	2			PROPN
fumecheng-12969	75	3			PROPN
fumecheng-12969	75	4			PROPN
fumecheng-12969	75	5			PROPN
fumecheng-12969	76	1	−	−	PROPN
fumecheng-12969	76	2			PROPN
fumecheng-12969	76	3			NOUN
fumecheng-12969	76	4	=	=	PUNCT
fumecheng-12969	76	5			PROPN
fumecheng-12969	76	6			PROPN
fumecheng-12969	76	7			PROPN
fumecheng-12969	76	8	=	=	PUNCT
fumecheng-12969	76	9	−	−	PROPN
fumecheng-12969	76	10			PROPN
fumecheng-12969	76	11	=	=	SYM
fumecheng-12969	76	12	−	−	PROPN
fumecheng-12969	76	13	−	−	PROPN
fumecheng-12969	76	14			PROPN
fumecheng-12969	76	15			NOUN
fumecheng-12969	76	16	=	=	PUNCT
fumecheng-12969	76	17	−	−	PROPN
fumecheng-12969	77	1	−	−	PROPN
fumecheng-12969	77	2	−	−	PROPN
fumecheng-12969	77	3			PROPN
fumecheng-12969	77	4	(	(	PUNCT
fumecheng-12969	77	5	4	4	X
fumecheng-12969	77	6	)	)	PUNCT
fumecheng-12969	77	7	we	we	PRON
fumecheng-12969	77	8	introduce	introduce	VERB
fumecheng-12969	77	9	these	these	DET
fumecheng-12969	77	10	properties	property	NOUN
fumecheng-12969	77	11	during	during	ADP
fumecheng-12969	77	12	the	the	DET
fumecheng-12969	77	13	development	development	NOUN
fumecheng-12969	77	14	of	of	ADP
fumecheng-12969	77	15	hts	hts	PROPN
fumecheng-12969	77	16	so	so	SCONJ
fumecheng-12969	77	17	that	that	SCONJ
fumecheng-12969	77	18	our	our	PRON
fumecheng-12969	77	19	proposed	propose	VERB
fumecheng-12969	77	20	scheme	scheme	NOUN
fumecheng-12969	77	21	can	can	AUX
fumecheng-12969	77	22	provide	provide	VERB
fumecheng-12969	77	23	accurate	accurate	ADJ
fumecheng-12969	77	24	results	result	NOUN
fumecheng-12969	77	25	.	.	PUNCT
fumecheng-12969	78	1	3	3	X
fumecheng-12969	78	2	.	.	X
fumecheng-12969	78	3	development	development	NOUN
fumecheng-12969	78	4	of	of	ADP
fumecheng-12969	78	5	homotopy	homotopy	NOUN
fumecheng-12969	78	6	transformation	transformation	NOUN
fumecheng-12969	78	7	scheme	scheme	NOUN
fumecheng-12969	78	8	here	here	ADV
fumecheng-12969	78	9	,	,	PUNCT
fumecheng-12969	78	10	we	we	PRON
fumecheng-12969	78	11	propose	propose	VERB
fumecheng-12969	78	12	the	the	DET
fumecheng-12969	78	13	development	development	NOUN
fumecheng-12969	78	14	of	of	ADP
fumecheng-12969	78	15	hts	hts	PROPN
fumecheng-12969	78	16	for	for	ADP
fumecheng-12969	78	17	a	a	DET
fumecheng-12969	78	18	general	general	ADJ
fumecheng-12969	78	19	problem	problem	NOUN
fumecheng-12969	78	20	.	.	PUNCT
fumecheng-12969	79	1	we	we	PRON
fumecheng-12969	79	2	explain	explain	VERB
fumecheng-12969	79	3	the	the	DET
fumecheng-12969	79	4	stepby	stepby	ADJ
fumecheng-12969	79	5	-	-	PUNCT
fumecheng-12969	79	6	step	step	NOUN
fumecheng-12969	79	7	formulation	formulation	NOUN
fumecheng-12969	79	8	of	of	ADP
fumecheng-12969	79	9	proposed	propose	VERB
fumecheng-12969	79	10	scheme	scheme	NOUN
fumecheng-12969	79	11	.	.	PUNCT
fumecheng-12969	80	1	we	we	PRON
fumecheng-12969	80	2	show	show	VERB
fumecheng-12969	80	3	the	the	DET
fumecheng-12969	80	4	process	process	NOUN
fumecheng-12969	80	5	of	of	ADP
fumecheng-12969	80	6	handling	handle	VERB
fumecheng-12969	80	7	the	the	DET
fumecheng-12969	80	8	nonlinear	nonlinear	ADJ
fumecheng-12969	80	9	terms	term	NOUN
fumecheng-12969	80	10	and	and	CCONJ
fumecheng-12969	80	11	derived	derive	VERB
fumecheng-12969	80	12	a	a	DET
fumecheng-12969	80	13	series	series	NOUN
fumecheng-12969	80	14	result	result	NOUN
fumecheng-12969	80	15	by	by	ADP
fumecheng-12969	80	16	using	use	VERB
fumecheng-12969	80	17	the	the	DET
fumecheng-12969	80	18	application	application	NOUN
fumecheng-12969	80	19	of	of	ADP
fumecheng-12969	80	20	hpm	hpm	NOUN
fumecheng-12969	80	21	.	.	PUNCT
fumecheng-12969	81	1	this	this	PRON
fumecheng-12969	81	2	obtained	obtain	VERB
fumecheng-12969	81	3	series	series	NOUN
fumecheng-12969	81	4	can	can	AUX
fumecheng-12969	81	5	easily	easily	ADV
fumecheng-12969	81	6	converge	converge	VERB
fumecheng-12969	81	7	to	to	ADP
fumecheng-12969	81	8	the	the	DET
fumecheng-12969	81	9	exact	exact	ADJ
fumecheng-12969	81	10	results	result	NOUN
fumecheng-12969	81	11	only	only	ADV
fumecheng-12969	81	12	after	after	ADP
fumecheng-12969	81	13	a	a	DET
fumecheng-12969	81	14	few	few	ADJ
fumecheng-12969	81	15	steps	step	NOUN
fumecheng-12969	81	16	of	of	ADP
fumecheng-12969	81	17	series	series	NOUN
fumecheng-12969	81	18	.	.	PUNCT
fumecheng-12969	82	1	let	let	VERB
fumecheng-12969	82	2	us	we	PRON
fumecheng-12969	82	3	examine	examine	VERB
fumecheng-12969	82	4	the	the	DET
fumecheng-12969	82	5	process	process	NOUN
fumecheng-12969	82	6	of	of	ADP
fumecheng-12969	82	7	hts	hts	PROPN
fumecheng-12969	82	8	by	by	ADP
fumecheng-12969	82	9	starting	start	VERB
fumecheng-12969	82	10	a	a	DET
fumecheng-12969	82	11	nonlinear	nonlinear	ADJ
fumecheng-12969	82	12	fractional	fractional	ADJ
fumecheng-12969	82	13	differential	differential	ADJ
fumecheng-12969	82	14	problem	problem	NOUN
fumecheng-12969	82	15	such	such	ADJ
fumecheng-12969	82	16	as	as	ADP
fumecheng-12969	82	17	,	,	PUNCT
fumecheng-12969	82	18	2	2	NUM
fumecheng-12969	82	19	2	2	NUM
fumecheng-12969	82	20	(	(	PUNCT
fumecheng-12969	82	21	)	)	PUNCT
fumecheng-12969	82	22	(	(	PUNCT
fumecheng-12969	82	23	)	)	PUNCT
fumecheng-12969	82	24	,	,	PUNCT
fumecheng-12969	82	25	d	d	X
fumecheng-12969	82	26	f	f	PROPN
fumecheng-12969	82	27	r	r	NOUN
fumecheng-12969	82	28	t	t	PROPN
fumecheng-12969	82	29	dt	dt	X
fumecheng-12969	82	30			PROPN
fumecheng-12969	82	31	+	+	PROPN
fumecheng-12969	82	32	=	=	SYM
fumecheng-12969	82	33	(	(	PUNCT
fumecheng-12969	82	34	5	5	NUM
fumecheng-12969	82	35	)	)	PUNCT
fumecheng-12969	82	36	with	with	ADP
fumecheng-12969	82	37	following	follow	VERB
fumecheng-12969	82	38	constraints	constraint	NOUN
fumecheng-12969	82	39	(	(	PUNCT
fumecheng-12969	82	40	0	0	NUM
fumecheng-12969	82	41	)	)	PUNCT
fumecheng-12969	82	42	,	,	PUNCT
fumecheng-12969	82	43	(	(	PUNCT
fumecheng-12969	82	44	0	0	NUM
fumecheng-12969	82	45	)	)	PUNCT
fumecheng-12969	82	46	0.b	0.b	NOUN
fumecheng-12969	82	47	=	=	PROPN
fumecheng-12969	82	48	=	=	PUNCT
fumecheng-12969	82	49	(	(	PUNCT
fumecheng-12969	82	50	6	6	NUM
fumecheng-12969	82	51	)	)	PUNCT
fumecheng-12969	82	52	eq	eq	NOUN
fumecheng-12969	82	53	.	.	PUNCT
fumecheng-12969	83	1	(	(	PUNCT
fumecheng-12969	83	2	5	5	X
fumecheng-12969	83	3	)	)	PUNCT
fumecheng-12969	83	4	can	can	AUX
fumecheng-12969	83	5	be	be	AUX
fumecheng-12969	83	6	modified	modify	VERB
fumecheng-12969	83	7	in	in	ADP
fumecheng-12969	83	8	the	the	DET
fumecheng-12969	83	9	following	following	ADJ
fumecheng-12969	83	10	manner	manner	NOUN
fumecheng-12969	83	11	:	:	PUNCT
fumecheng-12969	83	12	2	2	NUM
fumecheng-12969	83	13	2	2	NUM
fumecheng-12969	83	14	2	2	NUM
fumecheng-12969	83	15	(	(	PUNCT
fumecheng-12969	83	16	)	)	PUNCT
fumecheng-12969	83	17	(	(	PUNCT
fumecheng-12969	83	18	)	)	PUNCT
fumecheng-12969	83	19	,	,	PUNCT
fumecheng-12969	84	1	d	d	X
fumecheng-12969	84	2	g	g	NOUN
fumecheng-12969	84	3	r	r	NOUN
fumecheng-12969	84	4	t	t	NOUN
fumecheng-12969	84	5	dt	dt	X
fumecheng-12969	84	6			PROPN
fumecheng-12969	84	7			PROPN
fumecheng-12969	84	8			PROPN
fumecheng-12969	84	9	+	+	PROPN
fumecheng-12969	84	10	+	+	CCONJ
fumecheng-12969	84	11	=	=	SYM
fumecheng-12969	84	12	(	(	PUNCT
fumecheng-12969	84	13	7	7	NUM
fumecheng-12969	84	14	)	)	PUNCT
fumecheng-12969	84	15	where	where	SCONJ
fumecheng-12969	84	16	g(ϑ)=f(ϑ)-ω2ϑ.	g(ϑ)=f(ϑ)-ω2ϑ.	PROPN
fumecheng-12969	84	17	let	let	VERB
fumecheng-12969	84	18	us	we	PRON
fumecheng-12969	84	19	define	define	VERB
fumecheng-12969	84	20	the	the	DET
fumecheng-12969	84	21	term	term	NOUN
fumecheng-12969	84	22	g(ϑ	g(ϑ	PROPN
fumecheng-12969	84	23	)	)	PUNCT
fumecheng-12969	84	24	such	such	ADJ
fumecheng-12969	84	25	as	as	ADP
fumecheng-12969	84	26	2	2	NUM
fumecheng-12969	84	27	2	2	NUM
fumecheng-12969	84	28	1	1	NUM
fumecheng-12969	84	29	22	22	NUM
fumecheng-12969	84	30	(	(	PUNCT
fumecheng-12969	84	31	)	)	PUNCT
fumecheng-12969	84	32	(	(	PUNCT
fumecheng-12969	84	33	)	)	PUNCT
fumecheng-12969	84	34	(	(	PUNCT
fumecheng-12969	84	35	)	)	PUNCT
fumecheng-12969	84	36	,	,	PUNCT
fumecheng-12969	85	1	d	d	X
fumecheng-12969	85	2	l	l	NOUN
fumecheng-12969	86	1	g	g	NOUN
fumecheng-12969	86	2	l	l	NOUN
fumecheng-12969	86	3	g	g	NOUN
fumecheng-12969	86	4	r	r	NOUN
fumecheng-12969	86	5	t	t	NOUN
fumecheng-12969	86	6	dt	dt	X
fumecheng-12969	86	7			PROPN
fumecheng-12969	86	8			PROPN
fumecheng-12969	86	9			PROPN
fumecheng-12969	86	10			NOUN
fumecheng-12969	86	11	+	+	PROPN
fumecheng-12969	86	12	+	+	CCONJ
fumecheng-12969	86	13	+	+	NUM
fumecheng-12969	86	14	=	=	SYM
fumecheng-12969	86	15	(	(	PUNCT
fumecheng-12969	86	16	8)	8)	NUM
fumecheng-12969	86	17	in	in	ADP
fumecheng-12969	86	18	which	which	PRON
fumecheng-12969	86	19	l1	l1	PROPN
fumecheng-12969	86	20	be	be	VERB
fumecheng-12969	86	21	linear	linear	ADJ
fumecheng-12969	86	22	and	and	CCONJ
fumecheng-12969	86	23	l2	l2	NOUN
fumecheng-12969	86	24	is	be	AUX
fumecheng-12969	86	25	a	a	DET
fumecheng-12969	86	26	nonlinear	nonlinear	ADJ
fumecheng-12969	86	27	operator	operator	NOUN
fumecheng-12969	86	28	with	with	ADP
fumecheng-12969	86	29	a	a	DET
fumecheng-12969	86	30	source	source	NOUN
fumecheng-12969	86	31	parameter	parameter	NOUN
fumecheng-12969	86	32	r(t	r(t	NOUN
fumecheng-12969	86	33	)	)	PUNCT
fumecheng-12969	86	34	.	.	PUNCT
fumecheng-12969	87	1	operating	operate	VERB
fumecheng-12969	87	2	the	the	DET
fumecheng-12969	87	3	linearity	linearity	NOUN
fumecheng-12969	87	4	of	of	ADP
fumecheng-12969	87	5	st	st	PROPN
fumecheng-12969	87	6	to	to	PART
fumecheng-12969	87	7	eq	eq	PROPN
fumecheng-12969	87	8	.	.	PUNCT
fumecheng-12969	88	1	(	(	PUNCT
fumecheng-12969	88	2	8)	8)	NUM
fumecheng-12969	88	3	,	,	PUNCT
fumecheng-12969	88	4	we	we	PRON
fumecheng-12969	88	5	can	can	AUX
fumecheng-12969	88	6	write	write	VERB
fumecheng-12969	88	7	it	it	PRON
fumecheng-12969	88	8	as	as	SCONJ
fumecheng-12969	88	9	follows	follow	VERB
fumecheng-12969	88	10	:	:	PUNCT
fumecheng-12969	88	11			ADJ
fumecheng-12969	88	12			ADP
fumecheng-12969	88	13			PROPN
fumecheng-12969	88	14	2	2	NOUN
fumecheng-12969	88	15	1	1	NUM
fumecheng-12969	88	16	22	22	NUM
fumecheng-12969	88	17	2	2	NUM
fumecheng-12969	88	18	(	(	PUNCT
fumecheng-12969	88	19	)	)	PUNCT
fumecheng-12969	88	20	(	(	PUNCT
fumecheng-12969	88	21	0	0	NUM
fumecheng-12969	88	22	)	)	PUNCT
fumecheng-12969	88	23	(	(	PUNCT
fumecheng-12969	88	24	0	0	NUM
fumecheng-12969	88	25	)	)	PUNCT
fumecheng-12969	88	26	(	(	PUNCT
fumecheng-12969	88	27	)	)	PUNCT
fumecheng-12969	88	28	(	(	PUNCT
fumecheng-12969	88	29	)	)	PUNCT
fumecheng-12969	88	30	(	(	PUNCT
fumecheng-12969	88	31	)	)	PUNCT
fumecheng-12969	88	32	(	(	PUNCT
fumecheng-12969	88	33	)	)	PUNCT
fumecheng-12969	88	34	.	.	PUNCT
fumecheng-12969	89	1	r	r	NOUN
fumecheng-12969	89	2	r	r	NOUN
fumecheng-12969	89	3	l	l	NOUN
fumecheng-12969	89	4	g	g	NOUN
fumecheng-12969	89	5	l	l	NOUN
fumecheng-12969	89	6	g	g	NOUN
fumecheng-12969	89	7	r	r	NOUN
fumecheng-12969	89	8	t	t	NOUN
fumecheng-12969	89	9			PROPN
fumecheng-12969	89	10			PROPN
fumecheng-12969	89	11			PROPN
fumecheng-12969	89	12			PROPN
fumecheng-12969	89	13			PROPN
fumecheng-12969	89	14			PROPN
fumecheng-12969	89	15			PROPN
fumecheng-12969	89	16			PROPN
fumecheng-12969	89	17			PROPN
fumecheng-12969	90	1			ADV
fumecheng-12969	90	2	−	−	PROPN
fumecheng-12969	90	3	−	−	PROPN
fumecheng-12969	91	1	+	+	CCONJ
fumecheng-12969	91	2	+	+	PUNCT
fumecheng-12969	91	3	+	+	CCONJ
fumecheng-12969	91	4	=	=	SYM
fumecheng-12969	91	5	(	(	PUNCT
fumecheng-12969	91	6	9	9	X
fumecheng-12969	91	7	)	)	PUNCT
fumecheng-12969	91	8	using	use	VERB
fumecheng-12969	91	9	condition	condition	NOUN
fumecheng-12969	91	10	of	of	ADP
fumecheng-12969	91	11	eq	eq	PROPN
fumecheng-12969	91	12	.	.	PUNCT
fumecheng-12969	92	1	(	(	PUNCT
fumecheng-12969	92	2	6	6	NUM
fumecheng-12969	92	3	)	)	PUNCT
fumecheng-12969	92	4	,	,	PUNCT
fumecheng-12969	92	5	we	we	PRON
fumecheng-12969	92	6	can	can	AUX
fumecheng-12969	92	7	simplify	simplify	VERB
fumecheng-12969	92	8	it	it	PRON
fumecheng-12969	92	9	to	to	PART
fumecheng-12969	92	10	obtain	obtain	VERB
fumecheng-12969	92	11	r(θ	r(θ	NOUN
fumecheng-12969	92	12	)	)	PUNCT
fumecheng-12969	92	13	such	such	ADJ
fumecheng-12969	92	14	as	as	ADP
fumecheng-12969	92	15	2	2	NUM
fumecheng-12969	92	16	1	1	NUM
fumecheng-12969	92	17	2	2	NUM
fumecheng-12969	92	18	2	2	NUM
fumecheng-12969	92	19	2	2	NUM
fumecheng-12969	92	20	2	2	NUM
fumecheng-12969	92	21	2	2	NUM
fumecheng-12969	92	22	2	2	NUM
fumecheng-12969	92	23	22	22	NUM
fumecheng-12969	92	24	(	(	PUNCT
fumecheng-12969	92	25	.	.	PUNCT
fumecheng-12969	93	1	(	(	PUNCT
fumecheng-12969	93	2	)	)	PUNCT
fumecheng-12969	93	3	[	[	PUNCT
fumecheng-12969	93	4	]	]	X
fumecheng-12969	93	5	[	[	X
fumecheng-12969	93	6	(	(	PUNCT
fumecheng-12969	93	7	(	(	PUNCT
fumecheng-12969	93	8	)	)	PUNCT
fumecheng-12969	93	9	]	]	X
fumecheng-12969	93	10	(	(	PUNCT
fumecheng-12969	93	11	1	1	X
fumecheng-12969	93	12	)	)	PUNCT
fumecheng-12969	93	13	(	(	PUNCT
fumecheng-12969	93	14	1	1	X
fumecheng-12969	93	15	)	)	PUNCT
fumecheng-12969	93	16	(	(	PUNCT
fumecheng-12969	93	17	)	)	PUNCT
fumecheng-12969	93	18	)	)	PUNCT
fumecheng-12969	93	19	1	1	X
fumecheng-12969	93	20	)	)	PUNCT
fumecheng-12969	93	21	r	r	NOUN
fumecheng-12969	93	22	l	l	NOUN
fumecheng-12969	93	23	g	g	NOUN
fumecheng-12969	93	24	l	l	NOUN
fumecheng-12969	93	25	g	g	PROPN
fumecheng-12969	93	26	b	b	PROPN
fumecheng-12969	93	27	r	r	NOUN
fumecheng-12969	93	28	t	t	NOUN
fumecheng-12969	93	29			X
fumecheng-12969	94	1			X
fumecheng-12969	94	2			X
fumecheng-12969	94	3			PROPN
fumecheng-12969	94	4			PROPN
fumecheng-12969	94	5			PROPN
fumecheng-12969	94	6			PROPN
fumecheng-12969	94	7			X
fumecheng-12969	94	8			VERB
fumecheng-12969	94	9			PROPN
fumecheng-12969	94	10	=	=	PUNCT
fumecheng-12969	95	1	−	−	PROPN
fumecheng-12969	96	1	+	+	CCONJ
fumecheng-12969	96	2	+	+	PUNCT
fumecheng-12969	96	3	+	+	PUNCT
fumecheng-12969	96	4	+	+	PUNCT
fumecheng-12969	96	5	+	+	CCONJ
fumecheng-12969	96	6	(	(	PUNCT
fumecheng-12969	96	7	10	10	NUM
fumecheng-12969	96	8	)	)	PUNCT
fumecheng-12969	96	9	analysis	analysis	NOUN
fumecheng-12969	96	10	of	of	ADP
fumecheng-12969	96	11	nanobeam	nanobeam	NOUN
fumecheng-12969	96	12	-	-	PUNCT
fumecheng-12969	96	13	based	base	VERB
fumecheng-12969	96	14	microstructure	microstructure	NOUN
fumecheng-12969	96	15	in	in	ADP
fumecheng-12969	96	16	n	n	CCONJ
fumecheng-12969	96	17	/	/	SYM
fumecheng-12969	96	18	mems	mem	NOUN
fumecheng-12969	96	19	system	system	NOUN
fumecheng-12969	96	20	using	use	VERB
fumecheng-12969	96	21	van	van	PROPN
fumecheng-12969	96	22	der	der	ADJ
fumecheng-12969	96	23	waals	waal	NOUN
fumecheng-12969	96	24	forces	force	VERB
fumecheng-12969	96	25	677	677	NUM
fumecheng-12969	96	26	now	now	ADV
fumecheng-12969	96	27	,	,	PUNCT
fumecheng-12969	96	28	using	use	VERB
fumecheng-12969	96	29	the	the	DET
fumecheng-12969	96	30	property	property	NOUN
fumecheng-12969	96	31	of	of	ADP
fumecheng-12969	96	32	inverse	inverse	NOUN
fumecheng-12969	96	33	st	st	PROPN
fumecheng-12969	96	34	on	on	ADP
fumecheng-12969	96	35	eq	eq	PROPN
fumecheng-12969	96	36	.	.	PUNCT
fumecheng-12969	97	1	(	(	PUNCT
fumecheng-12969	97	2	10	10	NUM
fumecheng-12969	97	3	)	)	PUNCT
fumecheng-12969	97	4	,	,	PUNCT
fumecheng-12969	97	5	we	we	PRON
fumecheng-12969	97	6	get	get	VERB
fumecheng-12969	97	7	1	1	NUM
fumecheng-12969	97	8	1	1	NUM
fumecheng-12969	97	9	2	2	NUM
fumecheng-12969	97	10	2	2	NUM
fumecheng-12969	97	11	2	2	NUM
fumecheng-12969	97	12	1	1	NUM
fumecheng-12969	97	13	2	2	NUM
fumecheng-12969	97	14	2	2	NUM
fumecheng-12969	97	15	2	2	NUM
fumecheng-12969	97	16	2	2	NUM
fumecheng-12969	97	17	(	(	PUNCT
fumecheng-12969	97	18	)	)	PUNCT
fumecheng-12969	97	19	(	(	PUNCT
fumecheng-12969	97	20	)	)	PUNCT
fumecheng-12969	97	21	,	,	PUNCT
fumecheng-12969	97	22	(	(	PUNCT
fumecheng-12969	97	23	)	)	PUNCT
fumecheng-12969	97	24	cos	cos	PROPN
fumecheng-12969	97	25	[	[	X
fumecheng-12969	98	1	]	]	X
fumecheng-12969	98	2	[	[	PUNCT
fumecheng-12969	98	3	(	(	PUNCT
fumecheng-12969	98	4	)	)	PUNCT
fumecheng-12969	98	5	]	]	PUNCT
fumecheng-12969	98	6	(	(	PUNCT
fumecheng-12969	98	7	1	1	X
fumecheng-12969	98	8	)	)	PUNCT
fumecheng-12969	98	9	(	(	PUNCT
fumecheng-12969	98	10	1	1	X
fumecheng-12969	98	11	)	)	PUNCT
fumecheng-12969	98	12	t	t	PROPN
fumecheng-12969	98	13	b	b	PROPN
fumecheng-12969	98	14	t	t	PROPN
fumecheng-12969	98	15	l	l	NOUN
fumecheng-12969	98	16	g	g	PROPN
fumecheng-12969	98	17	l	l	NOUN
fumecheng-12969	98	18	g	g	NOUN
fumecheng-12969	98	19	r	r	NOUN
fumecheng-12969	98	20	t	t	NOUN
fumecheng-12969	98	21			PROPN
fumecheng-12969	98	22			X
fumecheng-12969	99	1			PROPN
fumecheng-12969	99	2			PROPN
fumecheng-12969	99	3			PROPN
fumecheng-12969	99	4			PROPN
fumecheng-12969	99	5			PROPN
fumecheng-12969	99	6			PROPN
fumecheng-12969	99	7			X
fumecheng-12969	99	8			PROPN
fumecheng-12969	99	9	−	−	NOUN
fumecheng-12969	99	10	−	−	NOUN
fumecheng-12969	99	11			X
fumecheng-12969	99	12	=	=	PUNCT
fumecheng-12969	100	1	−	−	PUNCT
fumecheng-12969	100	2	+	+	NOUN
fumecheng-12969	100	3			NOUN
fumecheng-12969	100	4			NOUN
fumecheng-12969	100	5	+	+	CCONJ
fumecheng-12969	100	6	+	+	PROPN
fumecheng-12969	100	7			PROPN
fumecheng-12969	100	8			PROPN
fumecheng-12969	100	9			PROPN
fumecheng-12969	100	10			NOUN
fumecheng-12969	100	11			X
fumecheng-12969	100	12	+	+	X
fumecheng-12969	100	13			X
fumecheng-12969	100	14			PROPN
fumecheng-12969	100	15	(	(	PUNCT
fumecheng-12969	100	16	11	11	NUM
fumecheng-12969	100	17	)	)	PUNCT
fumecheng-12969	100	18	we	we	PRON
fumecheng-12969	100	19	can	can	AUX
fumecheng-12969	100	20	also	also	ADV
fumecheng-12969	100	21	write	write	VERB
fumecheng-12969	100	22	it	it	PRON
fumecheng-12969	100	23	as	as	SCONJ
fumecheng-12969	100	24	follows	follow	VERB
fumecheng-12969	100	25	2	2	NUM
fumecheng-12969	100	26	12	12	NUM
fumecheng-12969	100	27	2	2	NUM
fumecheng-12969	100	28	2	2	NUM
fumecheng-12969	100	29	1	1	NUM
fumecheng-12969	100	30	(	(	PUNCT
fumecheng-12969	100	31	(	(	PUNCT
fumecheng-12969	100	32	)	)	PUNCT
fumecheng-12969	100	33	(	(	PUNCT
fumecheng-12969	100	34	)	)	PUNCT
fumecheng-12969	101	1	[	[	PUNCT
fumecheng-12969	101	2	]	]	X
fumecheng-12969	101	3	(	(	PUNCT
fumecheng-12969	101	4	1	1	NUM
fumecheng-12969	101	5	)	)	PUNCT
fumecheng-12969	101	6	)	)	PUNCT
fumecheng-12969	102	1	(	(	PUNCT
fumecheng-12969	102	2	)	)	PUNCT
fumecheng-12969	102	3	,	,	PUNCT
fumecheng-12969	102	4	l	l	NOUN
fumecheng-12969	102	5	g	g	NOUN
fumecheng-12969	102	6	lt	lt	PRON
fumecheng-12969	102	7	g	g	PROPN
fumecheng-12969	102	8	t	t	PROPN
fumecheng-12969	102	9	g	g	NOUN
fumecheng-12969	102	10			PROPN
fumecheng-12969	102	11			PROPN
fumecheng-12969	102	12			PROPN
fumecheng-12969	102	13			PROPN
fumecheng-12969	102	14			PROPN
fumecheng-12969	102	15	−	−	PROPN
fumecheng-12969	102	16			PROPN
fumecheng-12969	102	17			NOUN
fumecheng-12969	102	18	=	=	PUNCT
fumecheng-12969	102	19	−	−	NOUN
fumecheng-12969	102	20			NOUN
fumecheng-12969	102	21			NOUN
fumecheng-12969	103	1	+	+	ADP
fumecheng-12969	103	2			X
fumecheng-12969	103	3	+	+	CCONJ
fumecheng-12969	103	4			PROPN
fumecheng-12969	103	5	(	(	PUNCT
fumecheng-12969	103	6	12	12	NUM
fumecheng-12969	103	7	)	)	PUNCT
fumecheng-12969	103	8	where	where	SCONJ
fumecheng-12969	103	9			ADJ
fumecheng-12969	103	10	1	1	NOUN
fumecheng-12969	103	11	2	2	NUM
fumecheng-12969	103	12	2	2	NUM
fumecheng-12969	103	13	2	2	NUM
fumecheng-12969	103	14	(	(	PUNCT
fumecheng-12969	103	15	)	)	PUNCT
fumecheng-12969	103	16	(	(	PUNCT
fumecheng-12969	103	17	1	1	NUM
fumecheng-12969	103	18	.	.	PUNCT
fumecheng-12969	103	19	(	(	PUNCT
fumecheng-12969	103	20	)	)	PUNCT
fumecheng-12969	103	21	)	)	PUNCT
fumecheng-12969	103	22	cosg	cosg	VERB
fumecheng-12969	103	23	rb	rb	PROPN
fumecheng-12969	103	24	t	t	X
fumecheng-12969	103	25	tt	tt	PROPN
fumecheng-12969	103	26			PROPN
fumecheng-12969	103	27			PROPN
fumecheng-12969	103	28			PROPN
fumecheng-12969	103	29	−	−	PROPN
fumecheng-12969	103	30			PROPN
fumecheng-12969	103	31			NOUN
fumecheng-12969	103	32	=	=	SYM
fumecheng-12969	103	33	+	+	NUM
fumecheng-12969	103	34			NOUN
fumecheng-12969	103	35			NOUN
fumecheng-12969	103	36			NOUN
fumecheng-12969	103	37	+	+	CCONJ
fumecheng-12969	103	38			PROPN
fumecheng-12969	103	39	(	(	PUNCT
fumecheng-12969	103	40	13	13	NUM
fumecheng-12969	103	41	)	)	PUNCT
fumecheng-12969	103	42	let	let	VERB
fumecheng-12969	103	43	the	the	DET
fumecheng-12969	103	44	general	general	ADJ
fumecheng-12969	103	45	expression	expression	NOUN
fumecheng-12969	103	46	of	of	ADP
fumecheng-12969	103	47	eq	eq	PROPN
fumecheng-12969	103	48	.	.	PUNCT
fumecheng-12969	104	1	(	(	PUNCT
fumecheng-12969	104	2	12	12	NUM
fumecheng-12969	104	3	)	)	PUNCT
fumecheng-12969	104	4	is	be	AUX
fumecheng-12969	104	5	0	0	NUM
fumecheng-12969	104	6	(	(	PUNCT
fumecheng-12969	104	7	)	)	PUNCT
fumecheng-12969	104	8	(	(	PUNCT
fumecheng-12969	104	9	)	)	PUNCT
fumecheng-12969	104	10	.n	.n	PROPN
fumecheng-12969	105	1	n	n	CCONJ
fumecheng-12969	105	2	n	n	NOUN
fumecheng-12969	105	3	t	t	NOUN
fumecheng-12969	106	1	p	p	NOUN
fumecheng-12969	106	2	t	t	PROPN
fumecheng-12969	106	3			NOUN
fumecheng-12969	106	4			NOUN
fumecheng-12969	106	5	=	=	PUNCT
fumecheng-12969	106	6	=	=	SYM
fumecheng-12969	106	7			X
fumecheng-12969	106	8	(	(	PUNCT
fumecheng-12969	106	9	14	14	NUM
fumecheng-12969	106	10	)	)	PUNCT
fumecheng-12969	106	11	we	we	PRON
fumecheng-12969	106	12	introduce	introduce	VERB
fumecheng-12969	106	13	the	the	DET
fumecheng-12969	106	14	concept	concept	NOUN
fumecheng-12969	106	15	of	of	ADP
fumecheng-12969	106	16	hpm	hpm	NOUN
fumecheng-12969	106	17	to	to	PART
fumecheng-12969	106	18	decompose	decompose	VERB
fumecheng-12969	106	19	the	the	DET
fumecheng-12969	106	20	terms	term	NOUN
fumecheng-12969	106	21	of	of	ADP
fumecheng-12969	106	22	nonlinear	nonlinear	ADJ
fumecheng-12969	106	23	operator	operator	NOUN
fumecheng-12969	106	24	l2	l2	NOUN
fumecheng-12969	106	25	in	in	ADP
fumecheng-12969	106	26	eq	eq	ADP
fumecheng-12969	106	27	.	.	PUNCT
fumecheng-12969	107	1	(	(	PUNCT
fumecheng-12969	107	2	12	12	NUM
fumecheng-12969	107	3	)	)	PUNCT
fumecheng-12969	107	4	such	such	ADJ
fumecheng-12969	107	5	as	as	ADP
fumecheng-12969	107	6	2	2	NUM
fumecheng-12969	107	7	0	0	NUM
fumecheng-12969	107	8	(	(	PUNCT
fumecheng-12969	107	9	)	)	PUNCT
fumecheng-12969	107	10	(	(	PUNCT
fumecheng-12969	107	11	)	)	PUNCT
fumecheng-12969	107	12	,	,	PUNCT
fumecheng-12969	107	13	n	n	CCONJ
fumecheng-12969	107	14	n	n	CCONJ
fumecheng-12969	107	15	n	n	ADP
fumecheng-12969	107	16	l	l	NOUN
fumecheng-12969	107	17	g	g	PROPN
fumecheng-12969	108	1	p	p	PROPN
fumecheng-12969	108	2	h	h	PROPN
fumecheng-12969	108	3			NOUN
fumecheng-12969	108	4			NOUN
fumecheng-12969	108	5	=	=	SYM
fumecheng-12969	108	6	=	=	SYM
fumecheng-12969	108	7			X
fumecheng-12969	108	8	(	(	PUNCT
fumecheng-12969	108	9	15	15	NUM
fumecheng-12969	108	10	)	)	PUNCT
fumecheng-12969	108	11	with	with	ADP
fumecheng-12969	108	12	p∈	p∈	PROPN
fumecheng-12969	108	13	[	[	X
fumecheng-12969	108	14	0,1	0,1	NUM
fumecheng-12969	108	15	]	]	PUNCT
fumecheng-12969	108	16	as	as	ADP
fumecheng-12969	108	17	a	a	DET
fumecheng-12969	108	18	small	small	ADJ
fumecheng-12969	108	19	term	term	NOUN
fumecheng-12969	108	20	of	of	ADP
fumecheng-12969	108	21	perturbation	perturbation	NOUN
fumecheng-12969	108	22	and	and	CCONJ
fumecheng-12969	108	23	hn(ϑ	hn(ϑ	NOUN
fumecheng-12969	108	24	)	)	PUNCT
fumecheng-12969	108	25	represents	represent	VERB
fumecheng-12969	108	26	the	the	DET
fumecheng-12969	108	27	he	he	PRON
fumecheng-12969	108	28	's	's	PART
fumecheng-12969	108	29	polynomials	polynomial	NOUN
fumecheng-12969	108	30	that	that	PRON
fumecheng-12969	108	31	are	be	AUX
fumecheng-12969	108	32	produced	produce	VERB
fumecheng-12969	108	33	by	by	ADP
fumecheng-12969	108	34	the	the	DET
fumecheng-12969	108	35	following	follow	VERB
fumecheng-12969	108	36	formula	formula	NOUN
fumecheng-12969	108	37	0	0	NUM
fumecheng-12969	108	38	1	1	NUM
fumecheng-12969	108	39	2	2	NUM
fumecheng-12969	108	40	0	0	NUM
fumecheng-12969	108	41	0	0	NUM
fumecheng-12969	108	42	1	1	NUM
fumecheng-12969	108	43	(	(	PUNCT
fumecheng-12969	108	44	)	)	PUNCT
fumecheng-12969	108	45	(	(	PUNCT
fumecheng-12969	108	46	,	,	PUNCT
fumecheng-12969	108	47	,	,	PUNCT
fumecheng-12969	108	48	,	,	PUNCT
fumecheng-12969	108	49	)	)	PUNCT
fumecheng-12969	108	50	,	,	PUNCT
fumecheng-12969	108	51	0,1,2	0,1,2	NOUN
fumecheng-12969	108	52	,	,	PUNCT
fumecheng-12969	108	53	!	!	PUNCT
fumecheng-12969	109	1	n	n	CCONJ
fumecheng-12969	109	2	n	n	CCONJ
fumecheng-12969	109	3	n	n	CCONJ
fumecheng-12969	109	4	n	n	CCONJ
fumecheng-12969	109	5	n	n	ADV
fumecheng-12969	109	6	in	in	ADP
fumecheng-12969	109	7	i	i	PRON
fumecheng-12969	110	1	p	p	NOUN
fumecheng-12969	110	2	h	h	NOUN
fumecheng-12969	110	3	h	h	NOUN
fumecheng-12969	111	1	l	l	NOUN
fumecheng-12969	111	2	g	g	PROPN
fumecheng-12969	111	3	p	p	PROPN
fumecheng-12969	111	4	n	n	CCONJ
fumecheng-12969	111	5	n	n	CCONJ
fumecheng-12969	111	6	p	p	PROPN
fumecheng-12969	111	7			PROPN
fumecheng-12969	111	8			PROPN
fumecheng-12969	111	9			PROPN
fumecheng-12969	111	10			PROPN
fumecheng-12969	111	11			NOUN
fumecheng-12969	111	12			NOUN
fumecheng-12969	111	13	=	=	PUNCT
fumecheng-12969	111	14	=	=	SYM
fumecheng-12969	111	15			NOUN
fumecheng-12969	111	16			NOUN
fumecheng-12969	111	17			NOUN
fumecheng-12969	111	18			NOUN
fumecheng-12969	111	19	=	=	PUNCT
fumecheng-12969	112	1	=	=	PUNCT
fumecheng-12969	112	2	=	=	SYM
fumecheng-12969	112	3			PROPN
fumecheng-12969	112	4			X
fumecheng-12969	113	1			DET
fumecheng-12969	113	2			ADJ
fumecheng-12969	113	3			PROPN
fumecheng-12969	113	4			NOUN
fumecheng-12969	113	5			NOUN
fumecheng-12969	113	6			X
fumecheng-12969	113	7	(	(	PUNCT
fumecheng-12969	113	8	16	16	NUM
fumecheng-12969	113	9	)	)	PUNCT
fumecheng-12969	113	10	on	on	ADP
fumecheng-12969	113	11	utilizing	utilize	VERB
fumecheng-12969	113	12	eqs	eqs	PROPN
fumecheng-12969	113	13	.	.	PUNCT
fumecheng-12969	114	1	(	(	PUNCT
fumecheng-12969	114	2	14	14	NUM
fumecheng-12969	114	3	)	)	PUNCT
fumecheng-12969	114	4	and	and	CCONJ
fumecheng-12969	114	5	(	(	PUNCT
fumecheng-12969	114	6	15	15	NUM
fumecheng-12969	114	7	)	)	PUNCT
fumecheng-12969	114	8	to	to	ADP
fumecheng-12969	114	9	eq	eq	NOUN
fumecheng-12969	114	10	.	.	PUNCT
fumecheng-12969	115	1	(	(	PUNCT
fumecheng-12969	115	2	12	12	NUM
fumecheng-12969	115	3	)	)	PUNCT
fumecheng-12969	115	4	,	,	PUNCT
fumecheng-12969	115	5	we	we	PRON
fumecheng-12969	115	6	can	can	AUX
fumecheng-12969	115	7	obtain	obtain	VERB
fumecheng-12969	115	8	such	such	ADJ
fumecheng-12969	115	9	as	as	ADP
fumecheng-12969	115	10	2	2	NUM
fumecheng-12969	115	11	1	1	NUM
fumecheng-12969	115	12	12	12	NUM
fumecheng-12969	115	13	2	2	NUM
fumecheng-12969	115	14	0	0	NUM
fumecheng-12969	115	15	0	0	NUM
fumecheng-12969	115	16	0	0	NUM
fumecheng-12969	116	1	(	(	PUNCT
fumecheng-12969	116	2	)	)	PUNCT
fumecheng-12969	116	3	(	(	PUNCT
fumecheng-12969	116	4	)	)	PUNCT
fumecheng-12969	116	5	[	[	PUNCT
fumecheng-12969	116	6	(	(	PUNCT
fumecheng-12969	116	7	)	)	PUNCT
fumecheng-12969	116	8	]	]	PUNCT
fumecheng-12969	116	9	.	.	PUNCT
fumecheng-12969	117	1	(	(	PUNCT
fumecheng-12969	117	2	1	1	X
fumecheng-12969	117	3	)	)	PUNCT
fumecheng-12969	117	4	n	n	CCONJ
fumecheng-12969	117	5	n	n	CCONJ
fumecheng-12969	117	6	n	n	CCONJ
fumecheng-12969	117	7	n	n	CCONJ
fumecheng-12969	117	8	n	n	CCONJ
fumecheng-12969	117	9	n	n	CCONJ
fumecheng-12969	117	10	n	n	CCONJ
fumecheng-12969	117	11	n	n	CCONJ
fumecheng-12969	117	12	n	n	PROPN
fumecheng-12969	117	13	p	p	NOUN
fumecheng-12969	117	14	t	t	PROPN
fumecheng-12969	117	15	g	g	PROPN
fumecheng-12969	117	16	t	t	PROPN
fumecheng-12969	118	1	p	p	X
fumecheng-12969	118	2	l	l	NOUN
fumecheng-12969	118	3	p	p	NOUN
fumecheng-12969	118	4	g	g	PROPN
fumecheng-12969	118	5	p	p	PROPN
fumecheng-12969	118	6	h	h	NOUN
fumecheng-12969	118	7			PROPN
fumecheng-12969	118	8			PROPN
fumecheng-12969	118	9			PROPN
fumecheng-12969	118	10			PROPN
fumecheng-12969	118	11			X
fumecheng-12969	118	12			VERB
fumecheng-12969	118	13			VERB
fumecheng-12969	118	14			NOUN
fumecheng-12969	118	15	−	−	NOUN
fumecheng-12969	118	16	=	=	SYM
fumecheng-12969	119	1	=	=	SYM
fumecheng-12969	119	2	=	=	NOUN
fumecheng-12969	119	3			NOUN
fumecheng-12969	119	4			ADV
fumecheng-12969	119	5			VERB
fumecheng-12969	119	6	=	=	PUNCT
fumecheng-12969	119	7	−	−	PUNCT
fumecheng-12969	120	1	+	+	ADJ
fumecheng-12969	120	2			PROPN
fumecheng-12969	120	3			PROPN
fumecheng-12969	120	4			NOUN
fumecheng-12969	120	5	+	+	PROPN
fumecheng-12969	120	6			PROPN
fumecheng-12969	120	7			NOUN
fumecheng-12969	120	8			X
fumecheng-12969	120	9			X
fumecheng-12969	120	10			X
fumecheng-12969	120	11	(	(	PUNCT
fumecheng-12969	120	12	17	17	NUM
fumecheng-12969	120	13	)	)	PUNCT
fumecheng-12969	120	14	after	after	ADP
fumecheng-12969	120	15	some	some	DET
fumecheng-12969	120	16	successive	successive	ADJ
fumecheng-12969	120	17	repetitions	repetition	NOUN
fumecheng-12969	120	18	along	along	ADP
fumecheng-12969	120	19	with	with	ADP
fumecheng-12969	120	20	the	the	DET
fumecheng-12969	120	21	analysis	analysis	NOUN
fumecheng-12969	120	22	of	of	ADP
fumecheng-12969	120	23	components	component	NOUN
fumecheng-12969	120	24	p	p	X
fumecheng-12969	120	25	,	,	PUNCT
fumecheng-12969	120	26	we	we	PRON
fumecheng-12969	120	27	construct	construct	VERB
fumecheng-12969	120	28	the	the	DET
fumecheng-12969	120	29	following	follow	VERB
fumecheng-12969	120	30	results	result	NOUN
fumecheng-12969	120	31	:	:	PUNCT
fumecheng-12969	120	32			PROPN
fumecheng-12969	120	33			PROPN
fumecheng-12969	120	34			PROPN
fumecheng-12969	120	35			PROPN
fumecheng-12969	120	36			PROPN
fumecheng-12969	120	37			PROPN
fumecheng-12969	120	38	0	0	NUM
fumecheng-12969	120	39	0	0	NUM
fumecheng-12969	120	40	2	2	NUM
fumecheng-12969	120	41	1	1	NUM
fumecheng-12969	120	42	1	1	NUM
fumecheng-12969	120	43	1	1	NUM
fumecheng-12969	120	44	1	1	NUM
fumecheng-12969	120	45	0	0	NUM
fumecheng-12969	120	46	02	02	NUM
fumecheng-12969	120	47	2	2	NUM
fumecheng-12969	120	48	2	2	NUM
fumecheng-12969	120	49	2	2	NUM
fumecheng-12969	120	50	1	1	NUM
fumecheng-12969	120	51	2	2	NUM
fumecheng-12969	120	52	1	1	NUM
fumecheng-12969	120	53	1	1	NUM
fumecheng-12969	120	54	12	12	NUM
fumecheng-12969	120	55	2	2	NUM
fumecheng-12969	120	56	2	2	NUM
fumecheng-12969	120	57	1	1	NUM
fumecheng-12969	120	58	1	1	NUM
fumecheng-12969	120	59	1	1	NUM
fumecheng-12969	120	60	12	12	NUM
fumecheng-12969	120	61	2	2	NUM
fumecheng-12969	120	62	(	(	PUNCT
fumecheng-12969	120	63	)	)	PUNCT
fumecheng-12969	120	64	(	(	PUNCT
fumecheng-12969	120	65	)	)	PUNCT
fumecheng-12969	120	66	,	,	PUNCT
fumecheng-12969	120	67	(	(	PUNCT
fumecheng-12969	120	68	)	)	PUNCT
fumecheng-12969	120	69	(	(	PUNCT
fumecheng-12969	120	70	)	)	PUNCT
fumecheng-12969	120	71	(	(	PUNCT
fumecheng-12969	120	72	)	)	PUNCT
fumecheng-12969	120	73	,	,	PUNCT
fumecheng-12969	120	74	1	1	NUM
fumecheng-12969	120	75	(	(	PUNCT
fumecheng-12969	120	76	)	)	PUNCT
fumecheng-12969	120	77	(	(	PUNCT
fumecheng-12969	120	78	)	)	PUNCT
fumecheng-12969	120	79	(	(	PUNCT
fumecheng-12969	120	80	)	)	PUNCT
fumecheng-12969	120	81	,	,	PUNCT
fumecheng-12969	120	82	1	1	NUM
fumecheng-12969	120	83	(	(	PUNCT
fumecheng-12969	120	84	)	)	PUNCT
fumecheng-12969	120	85	(	(	PUNCT
fumecheng-12969	120	86	)	)	PUNCT
fumecheng-12969	120	87	(	(	PUNCT
fumecheng-12969	120	88	)	)	PUNCT
fumecheng-12969	120	89	.	.	PUNCT
fumecheng-12969	121	1	1	1	NUM
fumecheng-12969	121	2	n	n	CCONJ
fumecheng-12969	121	3	n	n	CCONJ
fumecheng-12969	121	4	n	n	CCONJ
fumecheng-12969	121	5	n	n	PROPN
fumecheng-12969	121	6	p	p	NOUN
fumecheng-12969	121	7	t	t	PROPN
fumecheng-12969	121	8	g	g	PROPN
fumecheng-12969	121	9	t	t	PROPN
fumecheng-12969	121	10	p	p	X
fumecheng-12969	121	11	t	t	PROPN
fumecheng-12969	121	12	l	l	NOUN
fumecheng-12969	121	13	g	g	PROPN
fumecheng-12969	121	14	h	h	NOUN
fumecheng-12969	121	15	p	p	PROPN
fumecheng-12969	121	16	t	t	PROPN
fumecheng-12969	121	17	l	l	NOUN
fumecheng-12969	121	18	g	g	PROPN
fumecheng-12969	121	19	h	h	NOUN
fumecheng-12969	121	20	p	p	PROPN
fumecheng-12969	122	1	t	t	PROPN
fumecheng-12969	122	2	l	l	NOUN
fumecheng-12969	122	3	g	g	PROPN
fumecheng-12969	122	4	h	h	NOUN
fumecheng-12969	122	5			PROPN
fumecheng-12969	122	6			PROPN
fumecheng-12969	122	7			PROPN
fumecheng-12969	122	8			PROPN
fumecheng-12969	122	9			PROPN
fumecheng-12969	122	10			PROPN
fumecheng-12969	122	11			X
fumecheng-12969	122	12			PROPN
fumecheng-12969	122	13			PROPN
fumecheng-12969	122	14			PROPN
fumecheng-12969	122	15			PROPN
fumecheng-12969	122	16			PROPN
fumecheng-12969	122	17			X
fumecheng-12969	122	18			PROPN
fumecheng-12969	122	19			PROPN
fumecheng-12969	122	20			PROPN
fumecheng-12969	122	21			PROPN
fumecheng-12969	122	22			PROPN
fumecheng-12969	122	23			PROPN
fumecheng-12969	123	1	−	−	NUM
fumecheng-12969	123	2	−	−	PROPN
fumecheng-12969	123	3	−	−	PROPN
fumecheng-12969	124	1	−	−	NOUN
fumecheng-12969	124	2	−	−	PROPN
fumecheng-12969	125	1	=	=	SYM
fumecheng-12969	125	2	=	=	SYM
fumecheng-12969	125	3			PROPN
fumecheng-12969	125	4			NOUN
fumecheng-12969	125	5	=	=	PUNCT
fumecheng-12969	125	6	=	=	PUNCT
fumecheng-12969	126	1	−	−	PUNCT
fumecheng-12969	126	2	+	+	NOUN
fumecheng-12969	126	3			NOUN
fumecheng-12969	126	4			NOUN
fumecheng-12969	126	5	+	+	ADP
fumecheng-12969	126	6			PROPN
fumecheng-12969	126	7			PROPN
fumecheng-12969	126	8			PROPN
fumecheng-12969	126	9			NOUN
fumecheng-12969	126	10	=	=	PUNCT
fumecheng-12969	126	11	=	=	PUNCT
fumecheng-12969	127	1	−	−	PUNCT
fumecheng-12969	127	2	+	+	NOUN
fumecheng-12969	127	3			NOUN
fumecheng-12969	127	4			NOUN
fumecheng-12969	127	5	+	+	ADP
fumecheng-12969	127	6			PROPN
fumecheng-12969	127	7			PROPN
fumecheng-12969	127	8			PROPN
fumecheng-12969	127	9			NOUN
fumecheng-12969	127	10	=	=	PUNCT
fumecheng-12969	127	11	=	=	PUNCT
fumecheng-12969	128	1	−	−	PUNCT
fumecheng-12969	128	2	+	+	NOUN
fumecheng-12969	128	3			NOUN
fumecheng-12969	128	4			NOUN
fumecheng-12969	128	5	+	+	ADP
fumecheng-12969	128	6			PROPN
fumecheng-12969	128	7			PROPN
fumecheng-12969	128	8	(	(	PUNCT
fumecheng-12969	128	9	18	18	NUM
fumecheng-12969	128	10	)	)	PUNCT
fumecheng-12969	128	11	678	678	NUM
fumecheng-12969	128	12	m.	m.	NOUN
fumecheng-12969	128	13	nadeem	nadeem	NOUN
fumecheng-12969	128	14	,	,	PUNCT
fumecheng-12969	128	15	q.-t	q.-t	NOUN
fumecheng-12969	128	16	.	.	PUNCT
fumecheng-12969	128	17	ain	ain	PROPN
fumecheng-12969	128	18	,	,	PUNCT
fumecheng-12969	128	19	n.	n.	PROPN
fumecheng-12969	128	20	almakayeel	almakayeel	PROPN
fumecheng-12969	128	21	,	,	PUNCT
fumecheng-12969	128	22	y.	y.	PROPN
fumecheng-12969	128	23	shao	shao	PROPN
fumecheng-12969	128	24	,	,	PUNCT
fumecheng-12969	128	25	s.	s.	PROPN
fumecheng-12969	128	26	wang	wang	PROPN
fumecheng-12969	128	27	,	,	PUNCT
fumecheng-12969	128	28	m.	m.	NOUN
fumecheng-12969	128	29	shutaywi	shutaywi	PROPN
fumecheng-12969	128	30	finally	finally	ADV
fumecheng-12969	128	31	,	,	PUNCT
fumecheng-12969	128	32	the	the	DET
fumecheng-12969	128	33	above	above	ADJ
fumecheng-12969	128	34	series	series	NOUN
fumecheng-12969	128	35	can	can	AUX
fumecheng-12969	128	36	be	be	AUX
fumecheng-12969	128	37	expressed	express	VERB
fumecheng-12969	128	38	as	as	SCONJ
fumecheng-12969	128	39	follows	follow	VERB
fumecheng-12969	128	40	:	:	PUNCT
fumecheng-12969	129	1	0	0	NUM
fumecheng-12969	129	2	1	1	NUM
fumecheng-12969	129	3	2	2	NUM
fumecheng-12969	129	4	0	0	NUM
fumecheng-12969	129	5	(	(	PUNCT
fumecheng-12969	129	6	)	)	PUNCT
fumecheng-12969	129	7	lim	lim	PROPN
fumecheng-12969	129	8	(	(	PUNCT
fumecheng-12969	129	9	)	)	PUNCT
fumecheng-12969	129	10	.i	.i	PROPN
fumecheng-12969	130	1	p	p	X
fumecheng-12969	131	1	i	i	PRON
fumecheng-12969	131	2	t	t	VERB
fumecheng-12969	131	3	t	t	PROPN
fumecheng-12969	131	4			PROPN
fumecheng-12969	131	5			PROPN
fumecheng-12969	131	6			PROPN
fumecheng-12969	131	7			PROPN
fumecheng-12969	131	8			VERB
fumecheng-12969	131	9	→	→	PUNCT
fumecheng-12969	131	10	=	=	PUNCT
fumecheng-12969	132	1	=	=	PUNCT
fumecheng-12969	133	1	+	+	PUNCT
fumecheng-12969	133	2	+	+	CCONJ
fumecheng-12969	133	3	+	+	CCONJ
fumecheng-12969	133	4	=	=	AUX
fumecheng-12969	133	5			X
fumecheng-12969	133	6	(	(	PUNCT
fumecheng-12969	133	7	19	19	NUM
fumecheng-12969	133	8	)	)	PUNCT
fumecheng-12969	133	9	this	this	DET
fumecheng-12969	133	10	approach	approach	NOUN
fumecheng-12969	133	11	efficiently	efficiently	ADV
fumecheng-12969	133	12	utilizes	utilize	VERB
fumecheng-12969	133	13	the	the	DET
fumecheng-12969	133	14	principle	principle	NOUN
fumecheng-12969	133	15	of	of	ADP
fumecheng-12969	133	16	continuous	continuous	ADJ
fumecheng-12969	133	17	iteration	iteration	NOUN
fumecheng-12969	133	18	and	and	CCONJ
fumecheng-12969	133	19	mathematical	mathematical	ADJ
fumecheng-12969	133	20	investigation	investigation	NOUN
fumecheng-12969	133	21	to	to	PART
fumecheng-12969	133	22	reveal	reveal	VERB
fumecheng-12969	133	23	an	an	DET
fumecheng-12969	133	24	extensive	extensive	ADJ
fumecheng-12969	133	25	solution	solution	NOUN
fumecheng-12969	133	26	for	for	ADP
fumecheng-12969	133	27	the	the	DET
fumecheng-12969	133	28	proposed	propose	VERB
fumecheng-12969	133	29	model	model	NOUN
fumecheng-12969	133	30	,	,	PUNCT
fumecheng-12969	133	31	and	and	CCONJ
fumecheng-12969	133	32	effectively	effectively	ADV
fumecheng-12969	133	33	demonstrates	demonstrate	VERB
fumecheng-12969	133	34	the	the	DET
fumecheng-12969	133	35	ability	ability	NOUN
fumecheng-12969	133	36	of	of	ADP
fumecheng-12969	133	37	hts	hts	PROPN
fumecheng-12969	133	38	procedures	procedure	NOUN
fumecheng-12969	133	39	to	to	PART
fumecheng-12969	133	40	address	address	VERB
fumecheng-12969	133	41	intricate	intricate	ADJ
fumecheng-12969	133	42	problems	problem	NOUN
fumecheng-12969	133	43	.	.	PUNCT
fumecheng-12969	134	1	4	4	X
fumecheng-12969	134	2	.	.	NOUN
fumecheng-12969	134	3	problem	problem	NOUN
fumecheng-12969	134	4	formulation	formulation	NOUN
fumecheng-12969	134	5	nanobeams	nanobeam	NOUN
fumecheng-12969	134	6	serve	serve	VERB
fumecheng-12969	134	7	as	as	ADP
fumecheng-12969	134	8	the	the	DET
fumecheng-12969	134	9	primary	primary	ADJ
fumecheng-12969	134	10	structural	structural	ADJ
fumecheng-12969	134	11	components	component	NOUN
fumecheng-12969	134	12	in	in	ADP
fumecheng-12969	134	13	n	n	CCONJ
fumecheng-12969	134	14	/	/	SYM
fumecheng-12969	134	15	mems	mem	NOUN
fumecheng-12969	134	16	systems	system	NOUN
fumecheng-12969	134	17	and	and	CCONJ
fumecheng-12969	134	18	play	play	VERB
fumecheng-12969	134	19	a	a	DET
fumecheng-12969	134	20	crucial	crucial	ADJ
fumecheng-12969	134	21	role	role	NOUN
fumecheng-12969	134	22	in	in	ADP
fumecheng-12969	134	23	their	their	PRON
fumecheng-12969	134	24	functionality	functionality	NOUN
fumecheng-12969	134	25	.	.	PUNCT
fumecheng-12969	135	1	to	to	PART
fumecheng-12969	135	2	effectively	effectively	ADV
fumecheng-12969	135	3	analyze	analyze	VERB
fumecheng-12969	135	4	the	the	DET
fumecheng-12969	135	5	behavior	behavior	NOUN
fumecheng-12969	135	6	of	of	ADP
fumecheng-12969	135	7	these	these	DET
fumecheng-12969	135	8	beams	beam	NOUN
fumecheng-12969	135	9	,	,	PUNCT
fumecheng-12969	135	10	various	various	ADJ
fumecheng-12969	135	11	beam	beam	NOUN
fumecheng-12969	135	12	theories	theory	NOUN
fumecheng-12969	135	13	are	be	AUX
fumecheng-12969	135	14	employed	employ	VERB
fumecheng-12969	135	15	.	.	PUNCT
fumecheng-12969	136	1	these	these	DET
fumecheng-12969	136	2	theories	theory	NOUN
fumecheng-12969	136	3	not	not	PART
fumecheng-12969	136	4	only	only	ADV
fumecheng-12969	136	5	facilitate	facilitate	VERB
fumecheng-12969	136	6	the	the	DET
fumecheng-12969	136	7	analysis	analysis	NOUN
fumecheng-12969	136	8	of	of	ADP
fumecheng-12969	136	9	beam	beam	NOUN
fumecheng-12969	136	10	behavior	behavior	NOUN
fumecheng-12969	136	11	but	but	CCONJ
fumecheng-12969	136	12	also	also	ADV
fumecheng-12969	136	13	enhance	enhance	VERB
fumecheng-12969	136	14	the	the	DET
fumecheng-12969	136	15	design	design	NOUN
fumecheng-12969	136	16	process	process	NOUN
fumecheng-12969	136	17	that	that	PRON
fumecheng-12969	136	18	ensures	ensure	VERB
fumecheng-12969	136	19	the	the	DET
fumecheng-12969	136	20	development	development	NOUN
fumecheng-12969	136	21	of	of	ADP
fumecheng-12969	136	22	robust	robust	ADJ
fumecheng-12969	136	23	and	and	CCONJ
fumecheng-12969	136	24	high	high	ADV
fumecheng-12969	136	25	-	-	PUNCT
fumecheng-12969	136	26	performing	perform	VERB
fumecheng-12969	136	27	n	n	CCONJ
fumecheng-12969	136	28	/	/	SYM
fumecheng-12969	136	29	mems	mem	NOUN
fumecheng-12969	136	30	system	system	NOUN
fumecheng-12969	136	31	.	.	PUNCT
fumecheng-12969	137	1	consider	consider	VERB
fumecheng-12969	137	2	a	a	DET
fumecheng-12969	137	3	nanobeam	nanobeam	NOUN
fumecheng-12969	137	4	with	with	ADP
fumecheng-12969	137	5	clamped	clamp	VERB
fumecheng-12969	137	6	-	-	PUNCT
fumecheng-12969	137	7	clamped	clamp	VERB
fumecheng-12969	137	8	boundary	boundary	ADJ
fumecheng-12969	137	9	conditions	condition	NOUN
fumecheng-12969	137	10	as	as	SCONJ
fumecheng-12969	137	11	shown	show	VERB
fumecheng-12969	137	12	in	in	ADP
fumecheng-12969	137	13	fig	fig	NOUN
fumecheng-12969	137	14	.	.	PUNCT
fumecheng-12969	138	1	1	1	NUM
fumecheng-12969	138	2	,	,	PUNCT
fumecheng-12969	138	3	where	where	SCONJ
fumecheng-12969	138	4	l	l	NOUN
fumecheng-12969	138	5	is	be	AUX
fumecheng-12969	138	6	the	the	DET
fumecheng-12969	138	7	length	length	NOUN
fumecheng-12969	138	8	between	between	ADP
fumecheng-12969	138	9	the	the	DET
fumecheng-12969	138	10	two	two	NUM
fumecheng-12969	138	11	clamped	clamp	VERB
fumecheng-12969	138	12	ends	end	NOUN
fumecheng-12969	138	13	of	of	ADP
fumecheng-12969	138	14	the	the	DET
fumecheng-12969	138	15	beam	beam	NOUN
fumecheng-12969	138	16	,	,	PUNCT
fumecheng-12969	138	17	b	b	PROPN
fumecheng-12969	138	18	is	be	AUX
fumecheng-12969	138	19	the	the	DET
fumecheng-12969	138	20	width	width	NOUN
fumecheng-12969	138	21	of	of	ADP
fumecheng-12969	138	22	the	the	DET
fumecheng-12969	138	23	beam	beam	NOUN
fumecheng-12969	138	24	in	in	ADP
fumecheng-12969	138	25	the	the	DET
fumecheng-12969	138	26	plane	plane	NOUN
fumecheng-12969	138	27	perpendicular	perpendicular	NOUN
fumecheng-12969	138	28	to	to	ADP
fumecheng-12969	138	29	its	its	PRON
fumecheng-12969	138	30	length	length	NOUN
fumecheng-12969	138	31	,	,	PUNCT
fumecheng-12969	138	32	h	h	PROPN
fumecheng-12969	138	33	shows	show	VERB
fumecheng-12969	138	34	the	the	DET
fumecheng-12969	138	35	thickness	thickness	NOUN
fumecheng-12969	138	36	of	of	ADP
fumecheng-12969	138	37	the	the	DET
fumecheng-12969	138	38	beam	beam	NOUN
fumecheng-12969	138	39	in	in	ADP
fumecheng-12969	138	40	the	the	DET
fumecheng-12969	138	41	plane	plane	NOUN
fumecheng-12969	138	42	perpendicular	perpendicular	NOUN
fumecheng-12969	138	43	to	to	ADP
fumecheng-12969	138	44	its	its	PRON
fumecheng-12969	138	45	width	width	NOUN
fumecheng-12969	138	46	and	and	CCONJ
fumecheng-12969	138	47	length	length	NOUN
fumecheng-12969	138	48	,	,	PUNCT
fumecheng-12969	138	49	and	and	CCONJ
fumecheng-12969	138	50	ρ	ρ	NOUN
fumecheng-12969	138	51	is	be	AUX
fumecheng-12969	138	52	the	the	DET
fumecheng-12969	138	53	mass	mass	NOUN
fumecheng-12969	138	54	per	per	ADP
fumecheng-12969	138	55	unit	unit	NOUN
fumecheng-12969	138	56	volume	volume	NOUN
fumecheng-12969	138	57	of	of	ADP
fumecheng-12969	138	58	the	the	DET
fumecheng-12969	138	59	material	material	NOUN
fumecheng-12969	138	60	of	of	ADP
fumecheng-12969	138	61	the	the	DET
fumecheng-12969	138	62	beam	beam	NOUN
fumecheng-12969	138	63	.	.	PUNCT
fumecheng-12969	139	1	fig	fig	NOUN
fumecheng-12969	139	2	.	.	PUNCT
fumecheng-12969	140	1	1	1	NUM
fumecheng-12969	140	2	schematics	schematic	NOUN
fumecheng-12969	140	3	of	of	ADP
fumecheng-12969	140	4	a	a	DET
fumecheng-12969	140	5	double	double	ADJ
fumecheng-12969	140	6	-	-	PUNCT
fumecheng-12969	140	7	sided	sided	ADJ
fumecheng-12969	140	8	driven	drive	VERB
fumecheng-12969	140	9	clamped	clamp	VERB
fumecheng-12969	140	10	-	-	PUNCT
fumecheng-12969	140	11	clamped	clamp	VERB
fumecheng-12969	140	12	microbeam	microbeam	NOUN
fumecheng-12969	140	13	this	this	DET
fumecheng-12969	140	14	study	study	NOUN
fumecheng-12969	140	15	delves	delve	VERB
fumecheng-12969	140	16	into	into	ADP
fumecheng-12969	140	17	the	the	DET
fumecheng-12969	140	18	dynamic	dynamic	ADJ
fumecheng-12969	140	19	behavior	behavior	NOUN
fumecheng-12969	140	20	and	and	CCONJ
fumecheng-12969	140	21	properties	property	NOUN
fumecheng-12969	140	22	of	of	ADP
fumecheng-12969	140	23	such	such	DET
fumecheng-12969	140	24	a	a	DET
fumecheng-12969	140	25	nanobeam	nanobeam	ADJ
fumecheng-12969	140	26	structure	structure	NOUN
fumecheng-12969	140	27	that	that	SCONJ
fumecheng-12969	140	28	focusing	focus	VERB
fumecheng-12969	140	29	on	on	ADP
fumecheng-12969	140	30	its	its	PRON
fumecheng-12969	140	31	transverse	transverse	NOUN
fumecheng-12969	140	32	vibrations	vibration	NOUN
fumecheng-12969	140	33	and	and	CCONJ
fumecheng-12969	140	34	the	the	DET
fumecheng-12969	140	35	resulting	result	VERB
fumecheng-12969	140	36	mode	mode	NOUN
fumecheng-12969	140	37	shapes	shape	NOUN
fumecheng-12969	140	38	and	and	CCONJ
fumecheng-12969	140	39	natural	natural	ADJ
fumecheng-12969	140	40	frequencies	frequency	NOUN
fumecheng-12969	140	41	.	.	PUNCT
fumecheng-12969	141	1	by	by	ADP
fumecheng-12969	141	2	leveraging	leverage	VERB
fumecheng-12969	141	3	the	the	DET
fumecheng-12969	141	4	euler	euler	PROPN
fumecheng-12969	141	5	-	-	PUNCT
fumecheng-12969	141	6	bernoulli	bernoulli	PROPN
fumecheng-12969	141	7	beam	beam	NOUN
fumecheng-12969	141	8	theory	theory	NOUN
fumecheng-12969	141	9	and	and	CCONJ
fumecheng-12969	141	10	applying	apply	VERB
fumecheng-12969	141	11	the	the	DET
fumecheng-12969	141	12	appropriate	appropriate	ADJ
fumecheng-12969	141	13	boundary	boundary	ADJ
fumecheng-12969	141	14	conditions	condition	NOUN
fumecheng-12969	141	15	,	,	PUNCT
fumecheng-12969	141	16	our	our	PRON
fumecheng-12969	141	17	purpose	purpose	NOUN
fumecheng-12969	141	18	is	be	AUX
fumecheng-12969	141	19	to	to	PART
fumecheng-12969	141	20	demonstrate	demonstrate	VERB
fumecheng-12969	141	21	a	a	DET
fumecheng-12969	141	22	comprehensive	comprehensive	ADJ
fumecheng-12969	141	23	analysis	analysis	NOUN
fumecheng-12969	141	24	of	of	ADP
fumecheng-12969	141	25	the	the	DET
fumecheng-12969	141	26	mechanical	mechanical	ADJ
fumecheng-12969	141	27	response	response	NOUN
fumecheng-12969	141	28	of	of	ADP
fumecheng-12969	141	29	the	the	DET
fumecheng-12969	141	30	nanobeam	nanobeam	NOUN
fumecheng-12969	141	31	under	under	ADP
fumecheng-12969	141	32	various	various	ADJ
fumecheng-12969	141	33	conditions	condition	NOUN
fumecheng-12969	141	34	.	.	PUNCT
fumecheng-12969	142	1	this	this	DET
fumecheng-12969	142	2	investigation	investigation	NOUN
fumecheng-12969	142	3	is	be	AUX
fumecheng-12969	142	4	essential	essential	ADJ
fumecheng-12969	142	5	for	for	ADP
fumecheng-12969	142	6	applications	application	NOUN
fumecheng-12969	142	7	where	where	SCONJ
fumecheng-12969	142	8	precise	precise	ADJ
fumecheng-12969	142	9	control	control	NOUN
fumecheng-12969	142	10	and	and	CCONJ
fumecheng-12969	142	11	understanding	understanding	NOUN
fumecheng-12969	142	12	of	of	ADP
fumecheng-12969	142	13	nanoscale	nanoscale	ADJ
fumecheng-12969	142	14	mechanical	mechanical	ADJ
fumecheng-12969	142	15	elements	element	NOUN
fumecheng-12969	142	16	are	be	AUX
fumecheng-12969	142	17	required	require	VERB
fumecheng-12969	142	18	.	.	PUNCT
fumecheng-12969	143	1	consider	consider	VERB
fumecheng-12969	143	2	the	the	DET
fumecheng-12969	143	3	von	von	PROPN
fumecheng-12969	143	4	-	-	PUNCT
fumecheng-12969	143	5	karman	karman	PROPN
fumecheng-12969	143	6	nonlinearity	nonlinearity	NOUN
fumecheng-12969	143	7	for	for	ADP
fumecheng-12969	143	8	mid	mid	ADJ
fumecheng-12969	143	9	-	-	ADJ
fumecheng-12969	143	10	plane	plane	ADJ
fumecheng-12969	143	11	stretching	stretching	NOUN
fumecheng-12969	143	12	,	,	PUNCT
fumecheng-12969	143	13	depending	depend	VERB
fumecheng-12969	143	14	on	on	ADP
fumecheng-12969	143	15	the	the	DET
fumecheng-12969	143	16	euler	euler	NOUN
fumecheng-12969	143	17	-	-	PUNCT
fumecheng-12969	143	18	bernoulli	bernoulli	PROPN
fumecheng-12969	143	19	beam	beam	NOUN
fumecheng-12969	143	20	idea	idea	NOUN
fumecheng-12969	143	21	as	as	SCONJ
fumecheng-12969	143	22	follows	follow	VERB
fumecheng-12969	143	23	:	:	PUNCT
fumecheng-12969	143	24	24	24	NUM
fumecheng-12969	143	25	2	2	NUM
fumecheng-12969	143	26	2	2	NUM
fumecheng-12969	143	27	4	4	NUM
fumecheng-12969	143	28	2	2	NUM
fumecheng-12969	143	29	2	2	NUM
fumecheng-12969	143	30	0	0	NUM
fumecheng-12969	143	31	(	(	PUNCT
fumecheng-12969	143	32	,	,	PUNCT
fumecheng-12969	143	33	)	)	PUNCT
fumecheng-12969	143	34	0	0	NUM
fumecheng-12969	143	35	,	,	PUNCT
fumecheng-12969	143	36	2	2	NUM
fumecheng-12969	143	37	l	l	NOUN
fumecheng-12969	143	38	q	q	X
fumecheng-12969	143	39	q	q	X
fumecheng-12969	143	40	es	es	X
fumecheng-12969	143	41	q	q	X
fumecheng-12969	143	42	q	q	X
fumecheng-12969	143	43	ei	ei	X
fumecheng-12969	143	44	s	s	X
fumecheng-12969	143	45	n	n	NOUN
fumecheng-12969	143	46	d	d	PROPN
fumecheng-12969	143	47	k	k	PROPN
fumecheng-12969	143	48	l	l	PROPN
fumecheng-12969	143	49			ADP
fumecheng-12969	143	50			PROPN
fumecheng-12969	143	51			NOUN
fumecheng-12969	143	52			NUM
fumecheng-12969	143	53			NOUN
fumecheng-12969	143	54			NUM
fumecheng-12969	143	55			NOUN
fumecheng-12969	143	56			PROPN
fumecheng-12969	143	57			PROPN
fumecheng-12969	143	58			NOUN
fumecheng-12969	143	59			ADJ
fumecheng-12969	143	60			ADJ
fumecheng-12969	143	61			PROPN
fumecheng-12969	143	62	+	+	CCONJ
fumecheng-12969	144	1	−	−	PROPN
fumecheng-12969	144	2	+	+	CCONJ
fumecheng-12969	144	3	−	−	PROPN
fumecheng-12969	144	4	=	=	SYM
fumecheng-12969	144	5			NOUN
fumecheng-12969	144	6			NOUN
fumecheng-12969	144	7			PROPN
fumecheng-12969	144	8			PROPN
fumecheng-12969	144	9			PROPN
fumecheng-12969	144	10			ADP
fumecheng-12969	144	11			NOUN
fumecheng-12969	144	12			PROPN
fumecheng-12969	144	13			PROPN
fumecheng-12969	144	14			PUNCT
fumecheng-12969	144	15	(	(	PUNCT
fumecheng-12969	144	16	20	20	NUM
fumecheng-12969	144	17	)	)	PUNCT
fumecheng-12969	144	18	where	where	SCONJ
fumecheng-12969	144	19	q	q	NOUN
fumecheng-12969	144	20	is	be	AUX
fumecheng-12969	144	21	a	a	DET
fumecheng-12969	144	22	function	function	NOUN
fumecheng-12969	144	23	of	of	ADP
fumecheng-12969	144	24	ψ	ψ	PROPN
fumecheng-12969	144	25	and	and	CCONJ
fumecheng-12969	144	26	η	η	PROPN
fumecheng-12969	144	27	that	that	PRON
fumecheng-12969	144	28	indicates	indicate	VERB
fumecheng-12969	144	29	the	the	DET
fumecheng-12969	144	30	spatial	spatial	ADJ
fumecheng-12969	144	31	location	location	NOUN
fumecheng-12969	144	32	and	and	CCONJ
fumecheng-12969	144	33	time	time	NOUN
fumecheng-12969	144	34	respectively	respectively	ADV
fumecheng-12969	145	1	,	,	PUNCT
fumecheng-12969	145	2	e	e	PROPN
fumecheng-12969	145	3	denotes	denote	VERB
fumecheng-12969	145	4	the	the	DET
fumecheng-12969	145	5	effective	effective	ADJ
fumecheng-12969	145	6	young	young	ADJ
fumecheng-12969	145	7	's	's	PART
fumecheng-12969	145	8	modulus	modulus	NOUN
fumecheng-12969	145	9	of	of	ADP
fumecheng-12969	145	10	the	the	DET
fumecheng-12969	145	11	beam	beam	NOUN
fumecheng-12969	145	12	,	,	PUNCT
fumecheng-12969	145	13	while	while	SCONJ
fumecheng-12969	145	14	i	i	PRON
fumecheng-12969	145	15	indicate	indicate	VERB
fumecheng-12969	145	16	the	the	DET
fumecheng-12969	145	17	moment	moment	NOUN
fumecheng-12969	145	18	of	of	ADP
fumecheng-12969	145	19	inertia	inertia	NOUN
fumecheng-12969	145	20	analysis	analysis	NOUN
fumecheng-12969	145	21	of	of	ADP
fumecheng-12969	145	22	nanobeam	nanobeam	NOUN
fumecheng-12969	145	23	-	-	PUNCT
fumecheng-12969	145	24	based	base	VERB
fumecheng-12969	145	25	microstructure	microstructure	NOUN
fumecheng-12969	145	26	in	in	ADP
fumecheng-12969	145	27	n	n	CCONJ
fumecheng-12969	145	28	/	/	SYM
fumecheng-12969	145	29	mems	mem	NOUN
fumecheng-12969	145	30	system	system	NOUN
fumecheng-12969	145	31	using	use	VERB
fumecheng-12969	145	32	van	van	PROPN
fumecheng-12969	145	33	der	der	ADJ
fumecheng-12969	145	34	waals	waal	NOUN
fumecheng-12969	145	35	forces	force	VERB
fumecheng-12969	145	36	679	679	NUM
fumecheng-12969	145	37	about	about	ADP
fumecheng-12969	145	38	the	the	DET
fumecheng-12969	145	39	cross	cross	NOUN
fumecheng-12969	145	40	-	-	NOUN
fumecheng-12969	145	41	section	section	NOUN
fumecheng-12969	145	42	of	of	ADP
fumecheng-12969	145	43	y	y	NOUN
fumecheng-12969	145	44	-	-	PUNCT
fumecheng-12969	145	45	axis	axis	NOUN
fumecheng-12969	145	46	.	.	PUNCT
fumecheng-12969	146	1	additionally	additionally	ADV
fumecheng-12969	146	2	,	,	PUNCT
fumecheng-12969	146	3	ñ	ñ	PROPN
fumecheng-12969	146	4	signifies	signify	VERB
fumecheng-12969	146	5	the	the	DET
fumecheng-12969	146	6	residual	residual	ADJ
fumecheng-12969	146	7	axial	axial	ADJ
fumecheng-12969	146	8	load	load	NOUN
fumecheng-12969	146	9	.	.	PUNCT
fumecheng-12969	147	1	the	the	DET
fumecheng-12969	147	2	function	function	NOUN
fumecheng-12969	147	3	k(ψ	k(ψ	PROPN
fumecheng-12969	147	4	,	,	PUNCT
fumecheng-12969	147	5	η	η	NOUN
fumecheng-12969	147	6	)	)	PUNCT
fumecheng-12969	147	7	describes	describe	VERB
fumecheng-12969	147	8	the	the	DET
fumecheng-12969	147	9	vdw	vdw	NOUN
fumecheng-12969	147	10	forces	force	NOUN
fumecheng-12969	147	11	among	among	ADP
fumecheng-12969	147	12	nanobeam	nanobeam	NOUN
fumecheng-12969	147	13	and	and	CCONJ
fumecheng-12969	147	14	the	the	DET
fumecheng-12969	147	15	substrate	substrate	NOUN
fumecheng-12969	147	16	and	and	CCONJ
fumecheng-12969	147	17	is	be	AUX
fumecheng-12969	147	18	stated	state	VERB
fumecheng-12969	147	19	as	as	SCONJ
fumecheng-12969	147	20	follows	follow	VERB
fumecheng-12969	147	21	[	[	X
fumecheng-12969	147	22	33	33	NUM
fumecheng-12969	147	23	]	]	X
fumecheng-12969	147	24	:	:	PUNCT
fumecheng-12969	147	25	3	3	NUM
fumecheng-12969	147	26	(	(	PUNCT
fumecheng-12969	147	27	,	,	PUNCT
fumecheng-12969	147	28	)	)	PUNCT
fumecheng-12969	147	29	,	,	PUNCT
fumecheng-12969	147	30	6	6	NUM
fumecheng-12969	147	31	(	(	PUNCT
fumecheng-12969	147	32	)	)	PUNCT
fumecheng-12969	147	33	ha	ha	INTJ
fumecheng-12969	148	1	b	b	X
fumecheng-12969	148	2	k	k	NOUN
fumecheng-12969	148	3	d	d	X
fumecheng-12969	148	4	q	q	NOUN
fumecheng-12969	148	5			NOUN
fumecheng-12969	148	6			NUM
fumecheng-12969	148	7	=	=	SYM
fumecheng-12969	148	8			ADV
fumecheng-12969	148	9	−	−	PROPN
fumecheng-12969	148	10	(	(	PUNCT
fumecheng-12969	148	11	21	21	NUM
fumecheng-12969	148	12	)	)	PUNCT
fumecheng-12969	148	13	where	where	SCONJ
fumecheng-12969	148	14	ah	ah	INTJ
fumecheng-12969	148	15	denotes	denote	VERB
fumecheng-12969	148	16	the	the	DET
fumecheng-12969	148	17	hamaker	hamaker	NOUN
fumecheng-12969	148	18	coefficient	coefficient	NOUN
fumecheng-12969	148	19	with	with	ADP
fumecheng-12969	148	20	a	a	DET
fumecheng-12969	148	21	value	value	NOUN
fumecheng-12969	148	22	of	of	ADP
fumecheng-12969	148	23	30	30	NUM
fumecheng-12969	148	24	×	×	NOUN
fumecheng-12969	148	25	10	10	NUM
fumecheng-12969	148	26	-	-	SYM
fumecheng-12969	148	27	19	19	NUM
fumecheng-12969	149	1	j	j	NOUN
fumecheng-12969	149	2	<	<	X
fumecheng-12969	149	3	ah	ah	INTJ
fumecheng-12969	149	4	<	<	X
fumecheng-12969	149	5	50	50	NUM
fumecheng-12969	149	6	×	×	NOUN
fumecheng-12969	149	7	10	10	NUM
fumecheng-12969	149	8	-	-	SYM
fumecheng-12969	149	9	19	19	NUM
fumecheng-12969	149	10	j	j	PROPN
fumecheng-12969	149	11	,	,	PUNCT
fumecheng-12969	149	12	s	s	PROPN
fumecheng-12969	149	13	=	=	X
fumecheng-12969	149	14	bh	bh	NOUN
fumecheng-12969	149	15	,	,	PUNCT
fumecheng-12969	149	16	whereas	whereas	SCONJ
fumecheng-12969	149	17	d	d	PROPN
fumecheng-12969	149	18	shows	show	VERB
fumecheng-12969	149	19	the	the	DET
fumecheng-12969	149	20	distance	distance	NOUN
fumecheng-12969	149	21	among	among	ADP
fumecheng-12969	149	22	nanobeam	nanobeam	NOUN
fumecheng-12969	149	23	and	and	CCONJ
fumecheng-12969	149	24	the	the	DET
fumecheng-12969	149	25	substrate	substrate	NOUN
fumecheng-12969	149	26	.	.	PUNCT
fumecheng-12969	150	1	we	we	PRON
fumecheng-12969	150	2	can	can	AUX
fumecheng-12969	150	3	define	define	VERB
fumecheng-12969	150	4	the	the	DET
fumecheng-12969	150	5	nondimensional	nondimensional	ADJ
fumecheng-12969	150	6	parameters	parameter	NOUN
fumecheng-12969	150	7	as	as	SCONJ
fumecheng-12969	150	8	follows	follow	VERB
fumecheng-12969	150	9	:	:	PUNCT
fumecheng-12969	150	10	,	,	PUNCT
fumecheng-12969	150	11	,	,	PUNCT
fumecheng-12969	150	12	,	,	PUNCT
fumecheng-12969	150	13	q	q	PROPN
fumecheng-12969	150	14	t	t	NOUN
fumecheng-12969	150	15	l	l	NOUN
fumecheng-12969	150	16	d	d	X
fumecheng-12969	150	17	t	t	PROPN
fumecheng-12969	150	18			PRON
fumecheng-12969	150	19			NUM
fumecheng-12969	150	20			PROPN
fumecheng-12969	150	21	=	=	NOUN
fumecheng-12969	150	22	=	=	PUNCT
fumecheng-12969	151	1	=	=	SYM
fumecheng-12969	151	2	(	(	PUNCT
fumecheng-12969	151	3	22	22	NUM
fumecheng-12969	151	4	)	)	PUNCT
fumecheng-12969	151	5	where	where	SCONJ
fumecheng-12969	151	6	4	4	X
fumecheng-12969	151	7	.	.	PUNCT
fumecheng-12969	152	1	hbl	hbl	PROPN
fumecheng-12969	152	2	t	t	PROPN
fumecheng-12969	152	3	ei	ei	X
fumecheng-12969	152	4			NOUN
fumecheng-12969	152	5	=	=	SYM
fumecheng-12969	152	6	(	(	PUNCT
fumecheng-12969	152	7	23	23	NUM
fumecheng-12969	152	8	)	)	PUNCT
fumecheng-12969	152	9	employing	employ	VERB
fumecheng-12969	152	10	the	the	DET
fumecheng-12969	152	11	value	value	NOUN
fumecheng-12969	152	12	of	of	ADP
fumecheng-12969	152	13	eq	eq	PROPN
fumecheng-12969	152	14	.	.	PUNCT
fumecheng-12969	153	1	(	(	PUNCT
fumecheng-12969	153	2	22	22	NUM
fumecheng-12969	153	3	)	)	PUNCT
fumecheng-12969	153	4	into	into	ADP
fumecheng-12969	153	5	eq	eq	NOUN
fumecheng-12969	153	6	.	.	PUNCT
fumecheng-12969	154	1	(	(	PUNCT
fumecheng-12969	154	2	20	20	NUM
fumecheng-12969	154	3	)	)	PUNCT
fumecheng-12969	154	4	,	,	PUNCT
fumecheng-12969	154	5	we	we	PRON
fumecheng-12969	154	6	can	can	AUX
fumecheng-12969	154	7	obtain	obtain	VERB
fumecheng-12969	154	8	the	the	DET
fumecheng-12969	154	9	following	follow	VERB
fumecheng-12969	154	10	form	form	NOUN
fumecheng-12969	154	11	(	(	PUNCT
fumecheng-12969	154	12	)	)	PUNCT
fumecheng-12969	154	13	214	214	NUM
fumecheng-12969	154	14	4	4	NUM
fumecheng-12969	154	15	2	2	NUM
fumecheng-12969	154	16	4	4	NUM
fumecheng-12969	154	17	2	2	NUM
fumecheng-12969	154	18	2	2	NUM
fumecheng-12969	154	19	3	3	NUM
fumecheng-12969	154	20	0	0	NUM
fumecheng-12969	154	21	0	0	NUM
fumecheng-12969	154	22	,	,	PUNCT
fumecheng-12969	154	23	1	1	NUM
fumecheng-12969	154	24	n	n	NOUN
fumecheng-12969	154	25	d	d	NOUN
fumecheng-12969	154	26	t	t	NOUN
fumecheng-12969	154	27			NUM
fumecheng-12969	154	28			NUM
fumecheng-12969	154	29			NUM
fumecheng-12969	154	30			NUM
fumecheng-12969	154	31			ADJ
fumecheng-12969	154	32			NOUN
fumecheng-12969	154	33			PROPN
fumecheng-12969	154	34			PROPN
fumecheng-12969	154	35			PROPN
fumecheng-12969	154	36			PROPN
fumecheng-12969	154	37			PROPN
fumecheng-12969	154	38			PROPN
fumecheng-12969	154	39			PROPN
fumecheng-12969	154	40			ADJ
fumecheng-12969	154	41			ADJ
fumecheng-12969	154	42			PROPN
fumecheng-12969	154	43	+	+	CCONJ
fumecheng-12969	155	1	−	−	PROPN
fumecheng-12969	155	2	+	+	CCONJ
fumecheng-12969	155	3	−	−	PROPN
fumecheng-12969	155	4	=	=	SYM
fumecheng-12969	155	5			NOUN
fumecheng-12969	155	6			NOUN
fumecheng-12969	156	1			PROPN
fumecheng-12969	156	2			ADJ
fumecheng-12969	156	3			PROPN
fumecheng-12969	156	4			PROPN
fumecheng-12969	156	5	−	−	PUNCT
fumecheng-12969	156	6			NOUN
fumecheng-12969	157	1			PROPN
fumecheng-12969	157	2			PROPN
fumecheng-12969	157	3			PUNCT
fumecheng-12969	157	4	(	(	PUNCT
fumecheng-12969	157	5	24	24	NUM
fumecheng-12969	157	6	)	)	PUNCT
fumecheng-12969	157	7	where	where	SCONJ
fumecheng-12969	157	8	n	n	PRON
fumecheng-12969	157	9	is	be	AUX
fumecheng-12969	157	10	the	the	DET
fumecheng-12969	157	11	load	load	NOUN
fumecheng-12969	157	12	of	of	ADP
fumecheng-12969	157	13	axial	axial	ADJ
fumecheng-12969	157	14	,	,	PUNCT
fumecheng-12969	157	15	α	α	PROPN
fumecheng-12969	157	16	shows	show	VERB
fumecheng-12969	157	17	the	the	DET
fumecheng-12969	157	18	aspect	aspect	NOUN
fumecheng-12969	157	19	ratio	ratio	NOUN
fumecheng-12969	157	20	,	,	PUNCT
fumecheng-12969	157	21	whereas	whereas	SCONJ
fumecheng-12969	157	22	λ	λ	NOUN
fumecheng-12969	157	23	is	be	AUX
fumecheng-12969	157	24	the	the	DET
fumecheng-12969	157	25	van	van	PROPN
fumecheng-12969	157	26	der	der	NOUN
fumecheng-12969	157	27	waals	waal	NOUN
fumecheng-12969	157	28	force	force	VERB
fumecheng-12969	157	29	such	such	ADJ
fumecheng-12969	157	30	that	that	SCONJ
fumecheng-12969	157	31	:	:	PUNCT
fumecheng-12969	157	32	2	2	NUM
fumecheng-12969	157	33	42	42	NUM
fumecheng-12969	157	34	3	3	NUM
fumecheng-12969	157	35	12	12	NUM
fumecheng-12969	157	36	,	,	PUNCT
fumecheng-12969	157	37	6	6	NUM
fumecheng-12969	157	38	,	,	PUNCT
fumecheng-12969	157	39	.hanl	.hanl	PUNCT
fumecheng-12969	157	40	d	d	X
fumecheng-12969	157	41	l	l	NOUN
fumecheng-12969	157	42	n	n	X
fumecheng-12969	157	43	ei	ei	NOUN
fumecheng-12969	157	44	h	h	NOUN
fumecheng-12969	157	45	deh	deh	PROPN
fumecheng-12969	157	46			X
fumecheng-12969	157	47			ADJ
fumecheng-12969	157	48			NOUN
fumecheng-12969	157	49			NOUN
fumecheng-12969	157	50			NOUN
fumecheng-12969	157	51			NOUN
fumecheng-12969	157	52	=	=	PUNCT
fumecheng-12969	158	1	=	=	PUNCT
fumecheng-12969	159	1	=	=	X
fumecheng-12969	159	2			PROPN
fumecheng-12969	160	1			PROPN
fumecheng-12969	160	2			PROPN
fumecheng-12969	160	3			PROPN
fumecheng-12969	161	1			ADJ
fumecheng-12969	161	2			PROPN
fumecheng-12969	161	3			PROPN
fumecheng-12969	161	4			NOUN
fumecheng-12969	161	5	(	(	PUNCT
fumecheng-12969	161	6	25	25	NUM
fumecheng-12969	161	7	)	)	PUNCT
fumecheng-12969	161	8	moreover	moreover	ADV
fumecheng-12969	161	9	,	,	PUNCT
fumecheng-12969	161	10	we	we	PRON
fumecheng-12969	161	11	have	have	VERB
fumecheng-12969	161	12	the	the	DET
fumecheng-12969	161	13	dimensionless	dimensionless	ADJ
fumecheng-12969	161	14	boundary	boundary	ADJ
fumecheng-12969	161	15	conditions	condition	NOUN
fumecheng-12969	161	16	,	,	PUNCT
fumecheng-12969	161	17	which	which	PRON
fumecheng-12969	161	18	are	be	AUX
fumecheng-12969	161	19	stated	state	VERB
fumecheng-12969	161	20	as	as	ADP
fumecheng-12969	161	21	below	below	ADV
fumecheng-12969	161	22	(	(	PUNCT
fumecheng-12969	161	23	)	)	PUNCT
fumecheng-12969	161	24	(	(	PUNCT
fumecheng-12969	161	25	)	)	PUNCT
fumecheng-12969	161	26	0	0	NUM
fumecheng-12969	161	27	,	,	PUNCT
fumecheng-12969	161	28	1	1	NUM
fumecheng-12969	161	29	,	,	PUNCT
fumecheng-12969	161	30	(	(	PUNCT
fumecheng-12969	161	31	0	0	NUM
fumecheng-12969	161	32	,	,	PUNCT
fumecheng-12969	161	33	)	)	PUNCT
fumecheng-12969	161	34	(	(	PUNCT
fumecheng-12969	161	35	1	1	NUM
fumecheng-12969	161	36	,	,	PUNCT
fumecheng-12969	161	37	)	)	PUNCT
fumecheng-12969	161	38	0	0	NUM
fumecheng-12969	161	39	,	,	PUNCT
fumecheng-12969	161	40	0	0	NUM
fumecheng-12969	161	41	.	.	PUNCT
fumecheng-12969	162	1	t	t	PROPN
fumecheng-12969	162	2	t	t	PROPN
fumecheng-12969	162	3	t	t	PROPN
fumecheng-12969	162	4	t	t	PROPN
fumecheng-12969	162	5			NUM
fumecheng-12969	162	6			NUM
fumecheng-12969	162	7			NUM
fumecheng-12969	162	8			NUM
fumecheng-12969	162	9			ADJ
fumecheng-12969	162	10			ADJ
fumecheng-12969	162	11			ADJ
fumecheng-12969	162	12			NOUN
fumecheng-12969	162	13	=	=	PUNCT
fumecheng-12969	163	1	=	=	SYM
fumecheng-12969	163	2	=	=	SYM
fumecheng-12969	163	3	=	=	SYM
fumecheng-12969	163	4			ADJ
fumecheng-12969	163	5			ADJ
fumecheng-12969	163	6	(	(	PUNCT
fumecheng-12969	163	7	26	26	NUM
fumecheng-12969	163	8	)	)	PUNCT
fumecheng-12969	163	9	since	since	SCONJ
fumecheng-12969	163	10	the	the	DET
fumecheng-12969	163	11	singularity	singularity	NOUN
fumecheng-12969	163	12	in	in	ADP
fumecheng-12969	163	13	eq	eq	ADP
fumecheng-12969	163	14	.	.	PUNCT
fumecheng-12969	164	1	(	(	PUNCT
fumecheng-12969	164	2	24	24	NUM
fumecheng-12969	164	3	)	)	PUNCT
fumecheng-12969	164	4	renders	render	VERB
fumecheng-12969	164	5	it	it	PRON
fumecheng-12969	164	6	challenging	challenge	VERB
fumecheng-12969	164	7	to	to	PART
fumecheng-12969	164	8	resolve	resolve	VERB
fumecheng-12969	164	9	when	when	SCONJ
fumecheng-12969	164	10	δ=1	δ=1	PROPN
fumecheng-12969	164	11	.	.	PUNCT
fumecheng-12969	165	1	therefore	therefore	ADV
fumecheng-12969	165	2	,	,	PUNCT
fumecheng-12969	165	3	we	we	PRON
fumecheng-12969	165	4	consider	consider	VERB
fumecheng-12969	165	5	the	the	DET
fumecheng-12969	165	6	separation	separation	NOUN
fumecheng-12969	165	7	of	of	ADP
fumecheng-12969	165	8	variables	variable	NOUN
fumecheng-12969	165	9	approach	approach	VERB
fumecheng-12969	165	10	to	to	PART
fumecheng-12969	165	11	minimize	minimize	VERB
fumecheng-12969	165	12	eq	eq	ADP
fumecheng-12969	165	13	.	.	PUNCT
fumecheng-12969	166	1	(	(	PUNCT
fumecheng-12969	166	2	24	24	NUM
fumecheng-12969	166	3	)	)	PUNCT
fumecheng-12969	166	4	to	to	ADP
fumecheng-12969	166	5	an	an	DET
fumecheng-12969	166	6	ordinary	ordinary	ADJ
fumecheng-12969	166	7	differential	differential	ADJ
fumecheng-12969	166	8	equation	equation	NOUN
fumecheng-12969	166	9	,	,	PUNCT
fumecheng-12969	166	10	such	such	ADJ
fumecheng-12969	166	11	that	that	SCONJ
fumecheng-12969	166	12	δ(φ	δ(φ	PROPN
fumecheng-12969	166	13	,	,	PUNCT
fumecheng-12969	166	14	t	t	PROPN
fumecheng-12969	166	15	)	)	PUNCT
fumecheng-12969	166	16	be	be	AUX
fumecheng-12969	166	17	the	the	DET
fumecheng-12969	166	18	result	result	NOUN
fumecheng-12969	166	19	of	of	ADP
fumecheng-12969	166	20	two	two	NUM
fumecheng-12969	166	21	distinct	distinct	ADJ
fumecheng-12969	166	22	functions	function	NOUN
fumecheng-12969	166	23	as	as	SCONJ
fumecheng-12969	166	24	follows	follow	VERB
fumecheng-12969	166	25	:	:	PUNCT
fumecheng-12969	166	26	(	(	PUNCT
fumecheng-12969	166	27	,	,	PUNCT
fumecheng-12969	166	28	)	)	PUNCT
fumecheng-12969	166	29	(	(	PUNCT
fumecheng-12969	166	30	)	)	PUNCT
fumecheng-12969	166	31	(	(	PUNCT
fumecheng-12969	166	32	)	)	PUNCT
fumecheng-12969	166	33	,	,	PUNCT
fumecheng-12969	166	34	t	t	NOUN
fumecheng-12969	166	35	t	t	DET
fumecheng-12969	166	36			ADJ
fumecheng-12969	166	37			ADJ
fumecheng-12969	166	38	=	=	NOUN
fumecheng-12969	166	39			PROPN
fumecheng-12969	166	40	(	(	PUNCT
fumecheng-12969	166	41	27	27	NUM
fumecheng-12969	166	42	)	)	PUNCT
fumecheng-12969	166	43	here	here	ADV
fumecheng-12969	166	44	ϑ(t	ϑ(t	NOUN
fumecheng-12969	166	45	)	)	PUNCT
fumecheng-12969	166	46	is	be	AUX
fumecheng-12969	166	47	a	a	DET
fumecheng-12969	166	48	time	time	NOUN
fumecheng-12969	166	49	-	-	PUNCT
fumecheng-12969	166	50	dependent	dependent	ADJ
fumecheng-12969	166	51	function	function	NOUN
fumecheng-12969	166	52	and	and	CCONJ
fumecheng-12969	166	53	ς(φ	ς(φ	ADJ
fumecheng-12969	166	54	)	)	PUNCT
fumecheng-12969	166	55	denotes	denote	VERB
fumecheng-12969	166	56	the	the	DET
fumecheng-12969	166	57	first	first	ADJ
fumecheng-12969	166	58	mode	mode	NOUN
fumecheng-12969	166	59	shape	shape	NOUN
fumecheng-12969	166	60	function	function	NOUN
fumecheng-12969	166	61	that	that	PRON
fumecheng-12969	166	62	fulfills	fulfill	VERB
fumecheng-12969	166	63	the	the	DET
fumecheng-12969	166	64	boundary	boundary	ADJ
fumecheng-12969	166	65	criteria	criterion	NOUN
fumecheng-12969	166	66	.	.	PUNCT
fumecheng-12969	167	1	putting	put	VERB
fumecheng-12969	167	2	the	the	DET
fumecheng-12969	167	3	value	value	NOUN
fumecheng-12969	167	4	of	of	ADP
fumecheng-12969	167	5	eq	eq	PROPN
fumecheng-12969	167	6	.	.	PUNCT
fumecheng-12969	168	1	(	(	PUNCT
fumecheng-12969	168	2	27	27	NUM
fumecheng-12969	168	3	)	)	PUNCT
fumecheng-12969	168	4	into	into	ADP
fumecheng-12969	168	5	eq	eq	NOUN
fumecheng-12969	168	6	.	.	PUNCT
fumecheng-12969	169	1	(	(	PUNCT
fumecheng-12969	169	2	24	24	NUM
fumecheng-12969	169	3	)	)	PUNCT
fumecheng-12969	169	4	,	,	PUNCT
fumecheng-12969	169	5	and	and	CCONJ
fumecheng-12969	169	6	then	then	ADV
fumecheng-12969	169	7	multiplying	multiply	VERB
fumecheng-12969	169	8	the	the	DET
fumecheng-12969	169	9	result	result	NOUN
fumecheng-12969	169	10	with	with	ADP
fumecheng-12969	169	11	ς(φ)(1	ς(φ)(1	NOUN
fumecheng-12969	169	12	-	-	PUNCT
fumecheng-12969	169	13	δ)3	δ)3	NOUN
fumecheng-12969	169	14	and	and	CCONJ
fumecheng-12969	169	15	taking	take	VERB
fumecheng-12969	169	16	integration	integration	NOUN
fumecheng-12969	169	17	over	over	ADP
fumecheng-12969	169	18	the	the	DET
fumecheng-12969	169	19	dimensionless	dimensionless	NOUN
fumecheng-12969	169	20	domain	domain	NOUN
fumecheng-12969	169	21	,	,	PUNCT
fumecheng-12969	169	22	we	we	PRON
fumecheng-12969	169	23	derive	derive	VERB
fumecheng-12969	169	24	1	1	NUM
fumecheng-12969	169	25	14	14	NUM
fumecheng-12969	169	26	2	2	NUM
fumecheng-12969	169	27	3	3	NUM
fumecheng-12969	169	28	2	2	NUM
fumecheng-12969	169	29	3	3	NUM
fumecheng-12969	169	30	4	4	NUM
fumecheng-12969	169	31	2	2	NUM
fumecheng-12969	169	32	0	0	NUM
fumecheng-12969	169	33	0	0	NUM
fumecheng-12969	169	34	21	21	NUM
fumecheng-12969	169	35	1	1	NUM
fumecheng-12969	169	36	12	12	NUM
fumecheng-12969	169	37	3	3	NUM
fumecheng-12969	169	38	2	2	NUM
fumecheng-12969	169	39	0	0	NUM
fumecheng-12969	169	40	0	0	NUM
fumecheng-12969	169	41	0	0	NUM
fumecheng-12969	170	1	(	(	PUNCT
fumecheng-12969	170	2	1	1	NUM
fumecheng-12969	170	3	)	)	PUNCT
fumecheng-12969	170	4	(	(	PUNCT
fumecheng-12969	170	5	1	1	X
fumecheng-12969	170	6	)	)	PUNCT
fumecheng-12969	170	7	(	(	PUNCT
fumecheng-12969	170	8	1	1	NUM
fumecheng-12969	170	9	)	)	PUNCT
fumecheng-12969	170	10	0	0	NUM
fumecheng-12969	170	11	,	,	PUNCT
fumecheng-12969	170	12	d	d	PROPN
fumecheng-12969	170	13	d	d	PROPN
fumecheng-12969	170	14	t	t	PROPN
fumecheng-12969	171	1	n	n	PROPN
fumecheng-12969	171	2	d	d	PROPN
fumecheng-12969	171	3	d	d	PROPN
fumecheng-12969	171	4	d	d	X
fumecheng-12969	171	5			PROPN
fumecheng-12969	171	6			PROPN
fumecheng-12969	171	7			NOUN
fumecheng-12969	171	8			PROPN
fumecheng-12969	171	9			NOUN
fumecheng-12969	171	10			ADJ
fumecheng-12969	171	11			PROPN
fumecheng-12969	171	12			PROPN
fumecheng-12969	171	13			PROPN
fumecheng-12969	171	14			NOUN
fumecheng-12969	171	15			PROPN
fumecheng-12969	171	16			NOUN
fumecheng-12969	171	17			PROPN
fumecheng-12969	171	18			ADJ
fumecheng-12969	171	19			ADJ
fumecheng-12969	171	20			ADJ
fumecheng-12969	171	21			ADJ
fumecheng-12969	171	22			ADJ
fumecheng-12969	171	23			PROPN
fumecheng-12969	171	24			PROPN
fumecheng-12969	171	25			PROPN
fumecheng-12969	171	26	−	−	PROPN
fumecheng-12969	172	1			PROPN
fumecheng-12969	172	2	+	+	CCONJ
fumecheng-12969	172	3			PROPN
fumecheng-12969	172	4	−	−	PROPN
fumecheng-12969	172	5			PROPN
fumecheng-12969	172	6	−	−	PROPN
fumecheng-12969	172	7			ADJ
fumecheng-12969	172	8			PROPN
fumecheng-12969	172	9			PROPN
fumecheng-12969	172	10			PROPN
fumecheng-12969	172	11			PROPN
fumecheng-12969	172	12			ADJ
fumecheng-12969	172	13			PROPN
fumecheng-12969	172	14			PROPN
fumecheng-12969	172	15	−	−	PROPN
fumecheng-12969	173	1			PROPN
fumecheng-12969	173	2	+	+	CCONJ
fumecheng-12969	173	3	−	−	PROPN
fumecheng-12969	173	4			PROPN
fumecheng-12969	173	5	=	=	SYM
fumecheng-12969	173	6			X
fumecheng-12969	173	7			VERB
fumecheng-12969	173	8			PROPN
fumecheng-12969	173	9			PROPN
fumecheng-12969	173	10			ADP
fumecheng-12969	173	11			NOUN
fumecheng-12969	173	12			PROPN
fumecheng-12969	173	13			PROPN
fumecheng-12969	173	14			X
fumecheng-12969	173	15			X
fumecheng-12969	174	1			X
fumecheng-12969	174	2			X
fumecheng-12969	174	3			X
fumecheng-12969	174	4	(	(	PUNCT
fumecheng-12969	174	5	28	28	NUM
fumecheng-12969	174	6	)	)	PUNCT
fumecheng-12969	174	7	680	680	NUM
fumecheng-12969	174	8	m.	m.	NOUN
fumecheng-12969	174	9	nadeem	nadeem	PROPN
fumecheng-12969	174	10	,	,	PUNCT
fumecheng-12969	174	11	q.-t	q.-t	NOUN
fumecheng-12969	174	12	.	.	PUNCT
fumecheng-12969	175	1	ain	ain	PROPN
fumecheng-12969	175	2	,	,	PUNCT
fumecheng-12969	175	3	n.	n.	PROPN
fumecheng-12969	175	4	almakayeel	almakayeel	PROPN
fumecheng-12969	175	5	,	,	PUNCT
fumecheng-12969	175	6	y.	y.	PROPN
fumecheng-12969	175	7	shao	shao	PROPN
fumecheng-12969	175	8	,	,	PUNCT
fumecheng-12969	175	9	s.	s.	PROPN
fumecheng-12969	175	10	wang	wang	PROPN
fumecheng-12969	175	11	,	,	PUNCT
fumecheng-12969	175	12	m.	m.	PROPN
fumecheng-12969	175	13	shutaywi	shutaywi	NOUN
fumecheng-12969	175	14	which	which	PRON
fumecheng-12969	175	15	may	may	AUX
fumecheng-12969	175	16	turn	turn	VERB
fumecheng-12969	175	17	to	to	ADP
fumecheng-12969	175	18	the	the	DET
fumecheng-12969	175	19	following	follow	VERB
fumecheng-12969	175	20	form	form	NOUN
fumecheng-12969	175	21	:	:	PUNCT
fumecheng-12969	175	22	2	2	NUM
fumecheng-12969	175	23	2	2	NUM
fumecheng-12969	175	24	3	3	NUM
fumecheng-12969	175	25	2	2	NUM
fumecheng-12969	175	26	3	3	NUM
fumecheng-12969	175	27	4	4	NUM
fumecheng-12969	175	28	5	5	NUM
fumecheng-12969	175	29	6	6	NUM
fumecheng-12969	175	30	0	0	NUM
fumecheng-12969	175	31	1	1	NUM
fumecheng-12969	175	32	2	2	NUM
fumecheng-12969	175	33	3	3	NUM
fumecheng-12969	175	34	4	4	NUM
fumecheng-12969	175	35	5	5	NUM
fumecheng-12969	175	36	6	6	NUM
fumecheng-12969	175	37	7	7	NUM
fumecheng-12969	175	38	8	8	NUM
fumecheng-12969	175	39	9	9	NUM
fumecheng-12969	175	40	102	102	NUM
fumecheng-12969	175	41	(	(	PUNCT
fumecheng-12969	175	42	)	)	PUNCT
fumecheng-12969	175	43	0	0	NUM
fumecheng-12969	175	44	,	,	PUNCT
fumecheng-12969	175	45	d	d	X
fumecheng-12969	175	46	q	q	X
fumecheng-12969	175	47	q	q	X
fumecheng-12969	175	48	q	q	X
fumecheng-12969	175	49	q	q	X
fumecheng-12969	175	50	q	q	X
fumecheng-12969	175	51	q	q	X
fumecheng-12969	175	52	q	q	X
fumecheng-12969	175	53	q	q	X
fumecheng-12969	175	54	q	q	X
fumecheng-12969	175	55	q	q	X
fumecheng-12969	175	56	q	q	X
fumecheng-12969	175	57	dt	dt	X
fumecheng-12969	175	58			PROPN
fumecheng-12969	175	59			PROPN
fumecheng-12969	175	60			PROPN
fumecheng-12969	175	61			PROPN
fumecheng-12969	175	62			PROPN
fumecheng-12969	175	63			PROPN
fumecheng-12969	175	64			PROPN
fumecheng-12969	175	65			PROPN
fumecheng-12969	175	66			NOUN
fumecheng-12969	175	67	+	+	PROPN
fumecheng-12969	175	68	+	+	CCONJ
fumecheng-12969	175	69	+	+	PUNCT
fumecheng-12969	175	70	+	+	PUNCT
fumecheng-12969	175	71	+	+	PUNCT
fumecheng-12969	175	72	+	+	PUNCT
fumecheng-12969	175	73	+	+	PUNCT
fumecheng-12969	175	74	+	+	PUNCT
fumecheng-12969	175	75	+	+	PUNCT
fumecheng-12969	175	76	+	+	CCONJ
fumecheng-12969	175	77	=	=	SYM
fumecheng-12969	175	78	(	(	PUNCT
fumecheng-12969	175	79	29	29	NUM
fumecheng-12969	175	80	)	)	PUNCT
fumecheng-12969	175	81	here	here	ADV
fumecheng-12969	175	82	,	,	PUNCT
fumecheng-12969	175	83	the	the	DET
fumecheng-12969	175	84	expression	expression	NOUN
fumecheng-12969	175	85	of	of	ADP
fumecheng-12969	175	86	qj(j=0,1,2,3,	qj(j=0,1,2,3,	NOUN
fumecheng-12969	175	87	…	…	X
fumecheng-12969	175	88	,10	,10	X
fumecheng-12969	175	89	)	)	PUNCT
fumecheng-12969	175	90	is	be	AUX
fumecheng-12969	175	91	defined	define	VERB
fumecheng-12969	175	92	in	in	ADP
fumecheng-12969	175	93	the	the	DET
fumecheng-12969	175	94	appendix	appendix	NOUN
fumecheng-12969	175	95	.	.	PUNCT
fumecheng-12969	176	1	the	the	DET
fumecheng-12969	176	2	eq	eq	NOUN
fumecheng-12969	176	3	.	.	PUNCT
fumecheng-12969	177	1	(	(	PUNCT
fumecheng-12969	177	2	29	29	NUM
fumecheng-12969	177	3	)	)	PUNCT
fumecheng-12969	177	4	has	have	VERB
fumecheng-12969	177	5	the	the	DET
fumecheng-12969	177	6	following	following	ADJ
fumecheng-12969	177	7	initial	initial	ADJ
fumecheng-12969	177	8	conditions	condition	NOUN
fumecheng-12969	177	9	such	such	ADJ
fumecheng-12969	177	10	that	that	SCONJ
fumecheng-12969	177	11	(	(	PUNCT
fumecheng-12969	177	12	0	0	NUM
fumecheng-12969	177	13	)	)	PUNCT
fumecheng-12969	177	14	,	,	PUNCT
fumecheng-12969	177	15	(	(	PUNCT
fumecheng-12969	177	16	0	0	X
fumecheng-12969	177	17	)	)	PUNCT
fumecheng-12969	177	18	0.tb	0.tb	NOUN
fumecheng-12969	177	19	=	=	NOUN
fumecheng-12969	177	20	=	=	SYM
fumecheng-12969	177	21	(	(	PUNCT
fumecheng-12969	177	22	30	30	NUM
fumecheng-12969	177	23	)	)	PUNCT
fumecheng-12969	177	24	since	since	SCONJ
fumecheng-12969	177	25	eq	eq	ADJ
fumecheng-12969	177	26	.	.	PUNCT
fumecheng-12969	178	1	(	(	PUNCT
fumecheng-12969	178	2	29	29	NUM
fumecheng-12969	178	3	)	)	PUNCT
fumecheng-12969	178	4	is	be	AUX
fumecheng-12969	178	5	extremely	extremely	ADV
fumecheng-12969	178	6	nonlinear	nonlinear	ADJ
fumecheng-12969	178	7	,	,	PUNCT
fumecheng-12969	178	8	thus	thus	ADV
fumecheng-12969	178	9	it	it	PRON
fumecheng-12969	178	10	was	be	AUX
fumecheng-12969	178	11	difficult	difficult	ADJ
fumecheng-12969	178	12	to	to	PART
fumecheng-12969	178	13	solve	solve	VERB
fumecheng-12969	178	14	using	use	VERB
fumecheng-12969	178	15	several	several	ADJ
fumecheng-12969	178	16	wellknown	wellknown	ADJ
fumecheng-12969	178	17	analytical	analytical	ADJ
fumecheng-12969	178	18	techniques	technique	NOUN
fumecheng-12969	178	19	[	[	X
fumecheng-12969	178	20	34	34	NUM
fumecheng-12969	178	21	-	-	SYM
fumecheng-12969	178	22	36	36	NUM
fumecheng-12969	178	23	]	]	PUNCT
fumecheng-12969	178	24	.	.	PUNCT
fumecheng-12969	179	1	thus	thus	ADV
fumecheng-12969	179	2	,	,	PUNCT
fumecheng-12969	179	3	we	we	PRON
fumecheng-12969	179	4	construct	construct	VERB
fumecheng-12969	179	5	hts	ht	NOUN
fumecheng-12969	179	6	to	to	PART
fumecheng-12969	179	7	solve	solve	VERB
fumecheng-12969	179	8	eq	eq	ADP
fumecheng-12969	179	9	.	.	PUNCT
fumecheng-12969	180	1	(	(	PUNCT
fumecheng-12969	180	2	29	29	NUM
fumecheng-12969	180	3	)	)	PUNCT
fumecheng-12969	180	4	with	with	ADP
fumecheng-12969	180	5	the	the	DET
fumecheng-12969	180	6	initial	initial	ADJ
fumecheng-12969	180	7	conditions	condition	NOUN
fumecheng-12969	180	8	of	of	ADP
fumecheng-12969	180	9	eq	eq	PROPN
fumecheng-12969	180	10	.	.	PUNCT
fumecheng-12969	181	1	(	(	PUNCT
fumecheng-12969	181	2	30	30	NUM
fumecheng-12969	181	3	)	)	PUNCT
fumecheng-12969	181	4	.	.	PUNCT
fumecheng-12969	182	1	5	5	X
fumecheng-12969	182	2	.	.	X
fumecheng-12969	182	3	application	application	NOUN
fumecheng-12969	182	4	of	of	ADP
fumecheng-12969	182	5	homotopy	homotopy	NOUN
fumecheng-12969	182	6	transformation	transformation	NOUN
fumecheng-12969	182	7	scheme	scheme	NOUN
fumecheng-12969	182	8	for	for	ADP
fumecheng-12969	182	9	n	n	CCONJ
fumecheng-12969	182	10	/	/	SYM
fumecheng-12969	182	11	mems	mem	NOUN
fumecheng-12969	182	12	in	in	ADP
fumecheng-12969	182	13	the	the	DET
fumecheng-12969	182	14	following	following	ADJ
fumecheng-12969	182	15	part	part	NOUN
fumecheng-12969	182	16	,	,	PUNCT
fumecheng-12969	182	17	we	we	PRON
fumecheng-12969	182	18	construct	construct	VERB
fumecheng-12969	182	19	the	the	DET
fumecheng-12969	182	20	formulation	formulation	NOUN
fumecheng-12969	182	21	of	of	ADP
fumecheng-12969	182	22	hts	hts	PROPN
fumecheng-12969	182	23	for	for	ADP
fumecheng-12969	182	24	the	the	DET
fumecheng-12969	182	25	nanobeam	nanobeam	NOUN
fumecheng-12969	182	26	-	-	PUNCT
fumecheng-12969	182	27	based	base	VERB
fumecheng-12969	182	28	microstructure	microstructure	ADJ
fumecheng-12969	182	29	system	system	NOUN
fumecheng-12969	182	30	actuated	actuate	VERB
fumecheng-12969	182	31	by	by	ADP
fumecheng-12969	182	32	van	van	PROPN
fumecheng-12969	182	33	der	der	NOUN
fumecheng-12969	182	34	waals	waal	NOUN
fumecheng-12969	182	35	forces	force	NOUN
fumecheng-12969	182	36	.	.	PUNCT
fumecheng-12969	183	1	therefore	therefore	ADV
fumecheng-12969	183	2	:	:	PUNCT
fumecheng-12969	183	3	2	2	NUM
fumecheng-12969	183	4	2	2	NUM
fumecheng-12969	183	5	3	3	NUM
fumecheng-12969	183	6	2	2	NUM
fumecheng-12969	183	7	3	3	NUM
fumecheng-12969	183	8	4	4	NUM
fumecheng-12969	183	9	5	5	NUM
fumecheng-12969	183	10	6	6	NUM
fumecheng-12969	183	11	0	0	NUM
fumecheng-12969	183	12	1	1	NUM
fumecheng-12969	183	13	2	2	NUM
fumecheng-12969	183	14	3	3	NUM
fumecheng-12969	183	15	4	4	NUM
fumecheng-12969	183	16	5	5	NUM
fumecheng-12969	183	17	6	6	NUM
fumecheng-12969	183	18	7	7	NUM
fumecheng-12969	183	19	8	8	NUM
fumecheng-12969	183	20	9	9	NUM
fumecheng-12969	183	21	102	102	NUM
fumecheng-12969	183	22	(	(	PUNCT
fumecheng-12969	183	23	)	)	PUNCT
fumecheng-12969	183	24	0	0	X
fumecheng-12969	183	25	.	.	PUNCT
fumecheng-12969	184	1	d	d	PRON
fumecheng-12969	184	2	q	q	X
fumecheng-12969	184	3	q	q	X
fumecheng-12969	184	4	q	q	X
fumecheng-12969	184	5	q	q	X
fumecheng-12969	184	6	q	q	X
fumecheng-12969	184	7	q	q	X
fumecheng-12969	184	8	q	q	X
fumecheng-12969	184	9	q	q	X
fumecheng-12969	184	10	q	q	X
fumecheng-12969	184	11	q	q	X
fumecheng-12969	184	12	q	q	X
fumecheng-12969	184	13	dt	dt	X
fumecheng-12969	184	14			PROPN
fumecheng-12969	184	15			PROPN
fumecheng-12969	184	16			PROPN
fumecheng-12969	184	17			PROPN
fumecheng-12969	184	18			PROPN
fumecheng-12969	184	19			PROPN
fumecheng-12969	184	20			PROPN
fumecheng-12969	184	21			PROPN
fumecheng-12969	184	22			NOUN
fumecheng-12969	184	23	+	+	PROPN
fumecheng-12969	184	24	+	+	CCONJ
fumecheng-12969	184	25	+	+	PUNCT
fumecheng-12969	184	26	+	+	PUNCT
fumecheng-12969	184	27	+	+	PUNCT
fumecheng-12969	184	28	+	+	PUNCT
fumecheng-12969	184	29	+	+	PUNCT
fumecheng-12969	184	30	+	+	PUNCT
fumecheng-12969	184	31	+	+	PUNCT
fumecheng-12969	184	32	+	+	CCONJ
fumecheng-12969	184	33	=	=	SYM
fumecheng-12969	184	34	(	(	PUNCT
fumecheng-12969	184	35	31	31	NUM
fumecheng-12969	184	36	)	)	PUNCT
fumecheng-12969	184	37	dividing	divide	VERB
fumecheng-12969	184	38	eq	eq	ADP
fumecheng-12969	184	39	.	.	PUNCT
fumecheng-12969	185	1	(	(	PUNCT
fumecheng-12969	185	2	31	31	NUM
fumecheng-12969	185	3	)	)	PUNCT
fumecheng-12969	185	4	by	by	ADP
fumecheng-12969	185	5	q0	q0	PROPN
fumecheng-12969	185	6	,	,	PUNCT
fumecheng-12969	185	7	we	we	PRON
fumecheng-12969	185	8	get	get	VERB
fumecheng-12969	185	9	2	2	NUM
fumecheng-12969	185	10	2	2	NUM
fumecheng-12969	185	11	2	2	NUM
fumecheng-12969	185	12	(	(	PUNCT
fumecheng-12969	185	13	)	)	PUNCT
fumecheng-12969	185	14	0	0	NUM
fumecheng-12969	185	15	,	,	PUNCT
fumecheng-12969	185	16	d	d	PRON
fumecheng-12969	185	17	g	g	NOUN
fumecheng-12969	185	18	dt	dt	X
fumecheng-12969	185	19			PROPN
fumecheng-12969	185	20			PROPN
fumecheng-12969	185	21			PROPN
fumecheng-12969	185	22	+	+	PROPN
fumecheng-12969	185	23	+	+	CCONJ
fumecheng-12969	185	24	=	=	SYM
fumecheng-12969	185	25	(	(	PUNCT
fumecheng-12969	185	26	32	32	NUM
fumecheng-12969	185	27	)	)	PUNCT
fumecheng-12969	185	28	where	where	SCONJ
fumecheng-12969	185	29	2	2	NUM
fumecheng-12969	185	30	2	2	NUM
fumecheng-12969	185	31	3	3	NUM
fumecheng-12969	185	32	2	2	NUM
fumecheng-12969	185	33	2	2	NUM
fumecheng-12969	185	34	3	3	NUM
fumecheng-12969	185	35	4	4	NUM
fumecheng-12969	185	36	5	5	NUM
fumecheng-12969	185	37	6	6	NUM
fumecheng-12969	185	38	1	1	NUM
fumecheng-12969	185	39	2	2	NUM
fumecheng-12969	185	40	3	3	NUM
fumecheng-12969	185	41	4	4	NUM
fumecheng-12969	185	42	5	5	NUM
fumecheng-12969	185	43	6	6	NUM
fumecheng-12969	185	44	7	7	NUM
fumecheng-12969	185	45	8	8	NUM
fumecheng-12969	185	46	9	9	NUM
fumecheng-12969	185	47	102	102	NUM
fumecheng-12969	185	48	(	(	PUNCT
fumecheng-12969	185	49	)	)	PUNCT
fumecheng-12969	185	50	(	(	PUNCT
fumecheng-12969	185	51	)	)	PUNCT
fumecheng-12969	185	52	(	(	PUNCT
fumecheng-12969	185	53	)	)	PUNCT
fumecheng-12969	185	54	.	.	PUNCT
fumecheng-12969	186	1	d	d	X
fumecheng-12969	186	2	g	g	NOUN
fumecheng-12969	186	3	d	d	X
fumecheng-12969	186	4	d	d	PROPN
fumecheng-12969	186	5	d	d	PROPN
fumecheng-12969	186	6	d	d	PROPN
fumecheng-12969	186	7	d	d	PROPN
fumecheng-12969	186	8	d	d	PROPN
fumecheng-12969	186	9	d	d	PROPN
fumecheng-12969	186	10	d	d	X
fumecheng-12969	186	11	d	d	X
fumecheng-12969	186	12	d	d	X
fumecheng-12969	186	13	dt	dt	PUNCT
fumecheng-12969	186	14			PROPN
fumecheng-12969	186	15			PROPN
fumecheng-12969	186	16			PROPN
fumecheng-12969	186	17			PROPN
fumecheng-12969	186	18			PROPN
fumecheng-12969	186	19			PROPN
fumecheng-12969	186	20			PROPN
fumecheng-12969	186	21			PROPN
fumecheng-12969	186	22			PROPN
fumecheng-12969	186	23			PROPN
fumecheng-12969	186	24			PROPN
fumecheng-12969	186	25	=	=	PROPN
fumecheng-12969	186	26	+	+	X
fumecheng-12969	187	1	+	+	PUNCT
fumecheng-12969	187	2	+	+	PUNCT
fumecheng-12969	187	3	+	+	CCONJ
fumecheng-12969	187	4	−	−	X
fumecheng-12969	188	1	+	+	CCONJ
fumecheng-12969	188	2	+	+	PUNCT
fumecheng-12969	188	3	+	+	PUNCT
fumecheng-12969	188	4	+	+	PUNCT
fumecheng-12969	188	5	+	+	CCONJ
fumecheng-12969	188	6	(	(	PUNCT
fumecheng-12969	188	7	33	33	NUM
fumecheng-12969	188	8	)	)	PUNCT
fumecheng-12969	188	9	utilizing	utilize	VERB
fumecheng-12969	188	10	the	the	DET
fumecheng-12969	188	11	idea	idea	NOUN
fumecheng-12969	188	12	of	of	ADP
fumecheng-12969	188	13	st	st	PROPN
fumecheng-12969	188	14	on	on	ADP
fumecheng-12969	188	15	both	both	DET
fumecheng-12969	188	16	sides	side	NOUN
fumecheng-12969	188	17	of	of	ADP
fumecheng-12969	188	18	eq	eq	PROPN
fumecheng-12969	188	19	.	.	PUNCT
fumecheng-12969	189	1	(	(	PUNCT
fumecheng-12969	189	2	32	32	NUM
fumecheng-12969	189	3	)	)	PUNCT
fumecheng-12969	189	4	,	,	PUNCT
fumecheng-12969	189	5	we	we	PRON
fumecheng-12969	189	6	have	have	VERB
fumecheng-12969	189	7			ADJ
fumecheng-12969	189	8	2	2	NOUN
fumecheng-12969	189	9	2	2	NUM
fumecheng-12969	189	10	2	2	NUM
fumecheng-12969	189	11	(	(	PUNCT
fumecheng-12969	189	12	)	)	PUNCT
fumecheng-12969	189	13	(	(	PUNCT
fumecheng-12969	189	14	)	)	PUNCT
fumecheng-12969	189	15	0	0	X
fumecheng-12969	189	16	.	.	PUNCT
fumecheng-12969	190	1	r	r	NOUN
fumecheng-12969	190	2	b	b	NOUN
fumecheng-12969	190	3	r	r	NOUN
fumecheng-12969	190	4			X
fumecheng-12969	190	5			X
fumecheng-12969	190	6			PROPN
fumecheng-12969	190	7			X
fumecheng-12969	190	8			X
fumecheng-12969	190	9	−	−	PROPN
fumecheng-12969	191	1	+	+	CCONJ
fumecheng-12969	191	2	+	+	NUM
fumecheng-12969	191	3			X
fumecheng-12969	192	1	=	=	SYM
fumecheng-12969	192	2	(	(	PUNCT
fumecheng-12969	192	3	34	34	NUM
fumecheng-12969	192	4	)	)	PUNCT
fumecheng-12969	192	5	where	where	SCONJ
fumecheng-12969	192	6	2	2	NUM
fumecheng-12969	192	7	2	2	NUM
fumecheng-12969	192	8	3	3	NUM
fumecheng-12969	192	9	1	1	NUM
fumecheng-12969	192	10	2	2	NUM
fumecheng-12969	192	11	3	3	NUM
fumecheng-12969	192	12	42	42	NUM
fumecheng-12969	192	13	2	2	NUM
fumecheng-12969	192	14	2	2	NUM
fumecheng-12969	192	15	3	3	NUM
fumecheng-12969	192	16	4	4	NUM
fumecheng-12969	192	17	5	5	NUM
fumecheng-12969	192	18	6	6	NUM
fumecheng-12969	192	19	5	5	NUM
fumecheng-12969	192	20	6	6	NUM
fumecheng-12969	192	21	7	7	NUM
fumecheng-12969	192	22	8	8	NUM
fumecheng-12969	192	23	9	9	NUM
fumecheng-12969	192	24	10	10	NUM
fumecheng-12969	192	25	(	(	PUNCT
fumecheng-12969	192	26	)	)	PUNCT
fumecheng-12969	192	27	(	(	PUNCT
fumecheng-12969	192	28	)	)	PUNCT
fumecheng-12969	192	29	.	.	PUNCT
fumecheng-12969	193	1	d	d	PUNCT
fumecheng-12969	194	1	d	d	PUNCT
fumecheng-12969	194	2	d	d	X
fumecheng-12969	194	3	d	d	X
fumecheng-12969	194	4	d	d	X
fumecheng-12969	194	5	dt	dt	X
fumecheng-12969	195	1	d	d	NOUN
fumecheng-12969	195	2	d	d	PROPN
fumecheng-12969	196	1	d	d	PROPN
fumecheng-12969	196	2	d	d	X
fumecheng-12969	196	3	d	d	X
fumecheng-12969	196	4	d	d	X
fumecheng-12969	196	5			PROPN
fumecheng-12969	196	6			PROPN
fumecheng-12969	196	7			PROPN
fumecheng-12969	196	8			PROPN
fumecheng-12969	196	9			PROPN
fumecheng-12969	196	10			PROPN
fumecheng-12969	196	11			PROPN
fumecheng-12969	196	12			PROPN
fumecheng-12969	196	13			PROPN
fumecheng-12969	196	14			PROPN
fumecheng-12969	196	15			PROPN
fumecheng-12969	196	16			PROPN
fumecheng-12969	197	1	=	=	PUNCT
fumecheng-12969	198	1	+	+	PUNCT
fumecheng-12969	198	2	+	+	PUNCT
fumecheng-12969	198	3	+	+	PUNCT
fumecheng-12969	199	1	+	+	CCONJ
fumecheng-12969	199	2	−	−	X
fumecheng-12969	200	1	+	+	CCONJ
fumecheng-12969	200	2	+	+	PUNCT
fumecheng-12969	200	3	+	+	PUNCT
fumecheng-12969	200	4	+	+	PUNCT
fumecheng-12969	200	5	+	+	CCONJ
fumecheng-12969	200	6	(	(	PUNCT
fumecheng-12969	200	7	35	35	NUM
fumecheng-12969	200	8	)	)	PUNCT
fumecheng-12969	200	9	we	we	PRON
fumecheng-12969	200	10	can	can	AUX
fumecheng-12969	200	11	simplify	simplify	VERB
fumecheng-12969	200	12	it	it	PRON
fumecheng-12969	200	13	to	to	PART
fumecheng-12969	200	14	obtain	obtain	VERB
fumecheng-12969	200	15	r(θ	r(θ	NOUN
fumecheng-12969	200	16	)	)	PUNCT
fumecheng-12969	200	17	such	such	ADJ
fumecheng-12969	200	18	as	as	ADP
fumecheng-12969	200	19			ADJ
fumecheng-12969	200	20			ADP
fumecheng-12969	200	21	2	2	NUM
fumecheng-12969	200	22	2	2	NUM
fumecheng-12969	200	23	2	2	NUM
fumecheng-12969	200	24	2	2	NUM
fumecheng-12969	200	25	2	2	NUM
fumecheng-12969	200	26	(	(	PUNCT
fumecheng-12969	200	27	)	)	PUNCT
fumecheng-12969	200	28	.	.	PUNCT
fumecheng-12969	201	1	1	1	NUM
fumecheng-12969	201	2	1	1	NUM
fumecheng-12969	201	3	b	b	NOUN
fumecheng-12969	201	4	r	r	NOUN
fumecheng-12969	201	5			X
fumecheng-12969	201	6			PROPN
fumecheng-12969	201	7			PROPN
fumecheng-12969	202	1			X
fumecheng-12969	202	2			PROPN
fumecheng-12969	202	3			X
fumecheng-12969	202	4	=	=	PUNCT
fumecheng-12969	202	5	−	−	PROPN
fumecheng-12969	202	6			PROPN
fumecheng-12969	203	1	+	+	CCONJ
fumecheng-12969	203	2	+	+	CCONJ
fumecheng-12969	203	3	(	(	PUNCT
fumecheng-12969	203	4	36	36	NUM
fumecheng-12969	203	5	)	)	PUNCT
fumecheng-12969	203	6	now	now	ADV
fumecheng-12969	203	7	,	,	PUNCT
fumecheng-12969	203	8	using	use	VERB
fumecheng-12969	203	9	the	the	DET
fumecheng-12969	203	10	property	property	NOUN
fumecheng-12969	203	11	of	of	ADP
fumecheng-12969	203	12	inverse	inverse	NOUN
fumecheng-12969	203	13	st	st	PROPN
fumecheng-12969	203	14	,	,	PUNCT
fumecheng-12969	203	15	we	we	PRON
fumecheng-12969	203	16	get	get	VERB
fumecheng-12969	203	17			PROPN
fumecheng-12969	203	18			PROPN
fumecheng-12969	203	19	2	2	NUM
fumecheng-12969	203	20	1	1	NUM
fumecheng-12969	203	21	2	2	NUM
fumecheng-12969	203	22	2	2	NUM
fumecheng-12969	203	23	(	(	PUNCT
fumecheng-12969	203	24	)	)	PUNCT
fumecheng-12969	203	25	cos	cos	PROPN
fumecheng-12969	203	26	.	.	PROPN
fumecheng-12969	203	27	1	1	NUM
fumecheng-12969	203	28	t	t	PROPN
fumecheng-12969	203	29	b	b	PROPN
fumecheng-12969	203	30	t	t	PROPN
fumecheng-12969	203	31			PROPN
fumecheng-12969	203	32			VERB
fumecheng-12969	203	33			PROPN
fumecheng-12969	203	34			PROPN
fumecheng-12969	204	1			PROPN
fumecheng-12969	204	2	−	−	PROPN
fumecheng-12969	204	3			PROPN
fumecheng-12969	204	4			NOUN
fumecheng-12969	204	5	=	=	SYM
fumecheng-12969	204	6	−	−	PROPN
fumecheng-12969	204	7			NOUN
fumecheng-12969	204	8			PUNCT
fumecheng-12969	205	1	+	+	CCONJ
fumecheng-12969	205	2			PROPN
fumecheng-12969	205	3			PROPN
fumecheng-12969	205	4	(	(	PUNCT
fumecheng-12969	205	5	37	37	NUM
fumecheng-12969	205	6	)	)	PUNCT
fumecheng-12969	205	7	analysis	analysis	NOUN
fumecheng-12969	205	8	of	of	ADP
fumecheng-12969	205	9	nanobeam	nanobeam	NOUN
fumecheng-12969	205	10	-	-	PUNCT
fumecheng-12969	205	11	based	base	VERB
fumecheng-12969	205	12	microstructure	microstructure	NOUN
fumecheng-12969	205	13	in	in	ADP
fumecheng-12969	205	14	n	n	CCONJ
fumecheng-12969	205	15	/	/	SYM
fumecheng-12969	205	16	mems	mem	NOUN
fumecheng-12969	205	17	system	system	NOUN
fumecheng-12969	205	18	using	use	VERB
fumecheng-12969	205	19	van	van	PROPN
fumecheng-12969	205	20	der	der	ADJ
fumecheng-12969	205	21	waals	waal	NOUN
fumecheng-12969	205	22	forces	force	VERB
fumecheng-12969	205	23	681	681	NUM
fumecheng-12969	205	24	let	let	VERB
fumecheng-12969	205	25	the	the	DET
fumecheng-12969	205	26	general	general	ADJ
fumecheng-12969	205	27	expression	expression	NOUN
fumecheng-12969	205	28	of	of	ADP
fumecheng-12969	205	29	eq	eq	PROPN
fumecheng-12969	205	30	.	.	PUNCT
fumecheng-12969	206	1	(	(	PUNCT
fumecheng-12969	206	2	32	32	NUM
fumecheng-12969	206	3	)	)	PUNCT
fumecheng-12969	206	4	is	be	AUX
fumecheng-12969	206	5	0	0	NUM
fumecheng-12969	206	6	(	(	PUNCT
fumecheng-12969	206	7	)	)	PUNCT
fumecheng-12969	206	8	(	(	PUNCT
fumecheng-12969	206	9	)	)	PUNCT
fumecheng-12969	206	10	.n	.n	PROPN
fumecheng-12969	207	1	n	n	CCONJ
fumecheng-12969	207	2	n	n	NOUN
fumecheng-12969	207	3	t	t	NOUN
fumecheng-12969	208	1	p	p	NOUN
fumecheng-12969	208	2	t	t	PROPN
fumecheng-12969	208	3			NOUN
fumecheng-12969	208	4			NOUN
fumecheng-12969	208	5	=	=	PUNCT
fumecheng-12969	208	6	=	=	SYM
fumecheng-12969	208	7			X
fumecheng-12969	208	8	(	(	PUNCT
fumecheng-12969	208	9	38	38	NUM
fumecheng-12969	208	10	)	)	PUNCT
fumecheng-12969	208	11	using	use	VERB
fumecheng-12969	208	12	the	the	DET
fumecheng-12969	208	13	idea	idea	NOUN
fumecheng-12969	208	14	of	of	ADP
fumecheng-12969	208	15	hpm	hpm	NOUN
fumecheng-12969	208	16	,	,	PUNCT
fumecheng-12969	208	17	we	we	PRON
fumecheng-12969	208	18	obtain	obtain	VERB
fumecheng-12969	208	19	eq	eq	ADP
fumecheng-12969	208	20	.	.	PUNCT
fumecheng-12969	209	1	(	(	PUNCT
fumecheng-12969	209	2	37	37	NUM
fumecheng-12969	209	3	)	)	PUNCT
fumecheng-12969	209	4	as	as	SCONJ
fumecheng-12969	209	5	follows	follow	VERB
fumecheng-12969	209	6	:	:	PUNCT
fumecheng-12969	209	7	2	2	NUM
fumecheng-12969	209	8	1	1	NUM
fumecheng-12969	209	9	2	2	NUM
fumecheng-12969	209	10	52	52	NUM
fumecheng-12969	209	11	2	2	NUM
fumecheng-12969	209	12	0	0	NUM
fumecheng-12969	209	13	0	0	NUM
fumecheng-12969	209	14	0	0	NUM
fumecheng-12969	209	15	(	(	PUNCT
fumecheng-12969	209	16	)	)	PUNCT
fumecheng-12969	209	17	cos	cos	PROPN
fumecheng-12969	209	18	(	(	PUNCT
fumecheng-12969	209	19	)	)	PUNCT
fumecheng-12969	209	20	.	.	PUNCT
fumecheng-12969	210	1	1	1	NUM
fumecheng-12969	210	2	n	n	CCONJ
fumecheng-12969	210	3	n	n	CCONJ
fumecheng-12969	210	4	n	n	CCONJ
fumecheng-12969	210	5	n	n	CCONJ
fumecheng-12969	210	6	n	n	CCONJ
fumecheng-12969	210	7	n	n	CCONJ
fumecheng-12969	210	8	n	n	CCONJ
fumecheng-12969	210	9	n	n	CCONJ
fumecheng-12969	210	10	n	n	PROPN
fumecheng-12969	210	11	p	p	NOUN
fumecheng-12969	210	12	t	t	PROPN
fumecheng-12969	210	13	b	b	PROPN
fumecheng-12969	210	14	t	t	PROPN
fumecheng-12969	210	15	p	p	PROPN
fumecheng-12969	211	1	d	d	X
fumecheng-12969	211	2	p	p	X
fumecheng-12969	211	3	p	p	PROPN
fumecheng-12969	211	4	h	h	NOUN
fumecheng-12969	211	5			PROPN
fumecheng-12969	211	6			PROPN
fumecheng-12969	211	7			PROPN
fumecheng-12969	211	8			PROPN
fumecheng-12969	211	9			PROPN
fumecheng-12969	211	10			PROPN
fumecheng-12969	211	11			PROPN
fumecheng-12969	211	12			VERB
fumecheng-12969	211	13			VERB
fumecheng-12969	211	14			NOUN
fumecheng-12969	211	15	−	−	NOUN
fumecheng-12969	211	16	=	=	SYM
fumecheng-12969	212	1	=	=	SYM
fumecheng-12969	212	2	=	=	NOUN
fumecheng-12969	212	3			NOUN
fumecheng-12969	212	4			ADV
fumecheng-12969	213	1			PUNCT
fumecheng-12969	213	2			PROPN
fumecheng-12969	213	3	=	=	PUNCT
fumecheng-12969	213	4	−	−	PROPN
fumecheng-12969	213	5	−	−	PROPN
fumecheng-12969	214	1	+	+	ADJ
fumecheng-12969	214	2			PROPN
fumecheng-12969	214	3			NOUN
fumecheng-12969	214	4			VERB
fumecheng-12969	214	5			VERB
fumecheng-12969	214	6	+	+	PROPN
fumecheng-12969	214	7			PROPN
fumecheng-12969	214	8			NUM
fumecheng-12969	214	9			NOUN
fumecheng-12969	214	10			NOUN
fumecheng-12969	214	11			X
fumecheng-12969	214	12			X
fumecheng-12969	214	13			X
fumecheng-12969	214	14	(	(	PUNCT
fumecheng-12969	214	15	39	39	NUM
fumecheng-12969	214	16	)	)	PUNCT
fumecheng-12969	214	17	on	on	ADP
fumecheng-12969	214	18	comparing	compare	VERB
fumecheng-12969	214	19	the	the	DET
fumecheng-12969	214	20	components	component	NOUN
fumecheng-12969	214	21	p	p	X
fumecheng-12969	214	22	,	,	PUNCT
fumecheng-12969	214	23	we	we	PRON
fumecheng-12969	214	24	construct	construct	VERB
fumecheng-12969	214	25	the	the	DET
fumecheng-12969	214	26	following	follow	VERB
fumecheng-12969	214	27	results	result	NOUN
fumecheng-12969	214	28	:	:	PUNCT
fumecheng-12969	214	29			X
fumecheng-12969	214	30			PROPN
fumecheng-12969	214	31	0	0	NUM
fumecheng-12969	214	32	0	0	NUM
fumecheng-12969	214	33	2	2	NUM
fumecheng-12969	214	34	1	1	NUM
fumecheng-12969	214	35	1	1	NUM
fumecheng-12969	214	36	1	1	NUM
fumecheng-12969	214	37	2	2	NUM
fumecheng-12969	214	38	2	2	NUM
fumecheng-12969	214	39	cos	co	NOUN
fumecheng-12969	214	40	,	,	PUNCT
fumecheng-12969	214	41	,	,	PUNCT
fumecheng-12969	214	42	1	1	NUM
fumecheng-12969	214	43	p	p	NOUN
fumecheng-12969	214	44	b	b	PROPN
fumecheng-12969	214	45	t	t	PROPN
fumecheng-12969	214	46	p	p	PROPN
fumecheng-12969	214	47			PROPN
fumecheng-12969	214	48			X
fumecheng-12969	214	49			PROPN
fumecheng-12969	214	50			PROPN
fumecheng-12969	214	51			PROPN
fumecheng-12969	215	1			PROPN
fumecheng-12969	215	2	−	−	PROPN
fumecheng-12969	215	3	=	=	SYM
fumecheng-12969	215	4	=	=	SYM
fumecheng-12969	215	5			PROPN
fumecheng-12969	215	6			NOUN
fumecheng-12969	215	7	=	=	PUNCT
fumecheng-12969	216	1	=	=	SYM
fumecheng-12969	216	2	−	−	PROPN
fumecheng-12969	216	3			NOUN
fumecheng-12969	216	4			PUNCT
fumecheng-12969	217	1	+	+	CCONJ
fumecheng-12969	217	2			PROPN
fumecheng-12969	217	3			PROPN
fumecheng-12969	217	4	(	(	PUNCT
fumecheng-12969	217	5	40	40	NUM
fumecheng-12969	217	6	)	)	PUNCT
fumecheng-12969	217	7	the	the	DET
fumecheng-12969	217	8	above	above	ADJ
fumecheng-12969	217	9	equation	equation	NOUN
fumecheng-12969	217	10	can	can	AUX
fumecheng-12969	217	11	also	also	ADV
fumecheng-12969	217	12	be	be	AUX
fumecheng-12969	217	13	written	write	VERB
fumecheng-12969	217	14	as	as	ADP
fumecheng-12969	217	15			PROPN
fumecheng-12969	217	16			PROPN
fumecheng-12969	217	17			PROPN
fumecheng-12969	217	18			PROPN
fumecheng-12969	217	19	2	2	NUM
fumecheng-12969	217	20	1	1	NUM
fumecheng-12969	217	21	1	1	NUM
fumecheng-12969	217	22	0	0	NUM
fumecheng-12969	217	23	1	1	NUM
fumecheng-12969	217	24	2	2	NUM
fumecheng-12969	217	25	32	32	NUM
fumecheng-12969	217	26	2	2	NUM
fumecheng-12969	217	27	2	2	NUM
fumecheng-12969	217	28	1	1	NUM
fumecheng-12969	217	29	4	4	NUM
fumecheng-12969	217	30	5	5	NUM
fumecheng-12969	217	31	62	62	NUM
fumecheng-12969	217	32	2	2	NUM
fumecheng-12969	217	33	cos	cos	X
fumecheng-12969	217	34	cos	cos	PROPN
fumecheng-12969	217	35	2	2	NUM
fumecheng-12969	217	36	cos3	cos3	PROPN
fumecheng-12969	217	37	1	1	NUM
fumecheng-12969	217	38	cos	cos	PROPN
fumecheng-12969	217	39	4	4	NUM
fumecheng-12969	217	40	cos5	cos5	PROPN
fumecheng-12969	217	41	cos6	cos6	NOUN
fumecheng-12969	217	42	1	1	NUM
fumecheng-12969	217	43	t	t	NOUN
fumecheng-12969	217	44	t	t	PROPN
fumecheng-12969	217	45	t	t	PROPN
fumecheng-12969	217	46	t	t	PROPN
fumecheng-12969	217	47	t	t	PROPN
fumecheng-12969	217	48	t	t	PROPN
fumecheng-12969	217	49			PROPN
fumecheng-12969	217	50			PROPN
fumecheng-12969	217	51			PROPN
fumecheng-12969	217	52			X
fumecheng-12969	217	53			X
fumecheng-12969	217	54			X
fumecheng-12969	217	55			X
fumecheng-12969	217	56			PROPN
fumecheng-12969	218	1			X
fumecheng-12969	218	2			X
fumecheng-12969	218	3			X
fumecheng-12969	218	4			PROPN
fumecheng-12969	218	5			PROPN
fumecheng-12969	219	1	−	−	PROPN
fumecheng-12969	219	2	−	−	PROPN
fumecheng-12969	219	3			PROPN
fumecheng-12969	219	4			NOUN
fumecheng-12969	219	5	=	=	PUNCT
fumecheng-12969	219	6	−	−	ADP
fumecheng-12969	219	7			VERB
fumecheng-12969	219	8	+	+	CCONJ
fumecheng-12969	219	9			VERB
fumecheng-12969	219	10	+	+	CCONJ
fumecheng-12969	219	11			VERB
fumecheng-12969	219	12	+	+	ADJ
fumecheng-12969	219	13			PROPN
fumecheng-12969	219	14			NOUN
fumecheng-12969	220	1	+	+	PROPN
fumecheng-12969	220	2			PROPN
fumecheng-12969	220	3			PROPN
fumecheng-12969	220	4			PROPN
fumecheng-12969	220	5			NOUN
fumecheng-12969	220	6			VERB
fumecheng-12969	220	7	+	+	CCONJ
fumecheng-12969	220	8			VERB
fumecheng-12969	220	9	+	+	ADJ
fumecheng-12969	220	10			PROPN
fumecheng-12969	220	11			NOUN
fumecheng-12969	220	12	+	+	PROPN
fumecheng-12969	220	13			PROPN
fumecheng-12969	220	14			PROPN
fumecheng-12969	220	15	(	(	PUNCT
fumecheng-12969	220	16	41	41	NUM
fumecheng-12969	220	17	)	)	PUNCT
fumecheng-12969	220	18	where	where	SCONJ
fumecheng-12969	220	19	the	the	DET
fumecheng-12969	220	20	coefficients	coefficient	NOUN
fumecheng-12969	220	21	γn	γn	VERB
fumecheng-12969	220	22	(	(	PUNCT
fumecheng-12969	220	23	n=0,1,2	n=0,1,2	NUM
fumecheng-12969	220	24	,	,	PUNCT
fumecheng-12969	220	25	3,	3,	ADJ
fumecheng-12969	220	26	...	...	PUNCT
fumecheng-12969	220	27	,6	,6	PUNCT
fumecheng-12969	220	28	)	)	PUNCT
fumecheng-12969	220	29	can	can	AUX
fumecheng-12969	220	30	be	be	AUX
fumecheng-12969	220	31	evaluated	evaluate	VERB
fumecheng-12969	220	32	as	as	ADP
fumecheng-12969	220	33	3	3	NUM
fumecheng-12969	220	34	2	2	NUM
fumecheng-12969	220	35	4	4	NUM
fumecheng-12969	220	36	6	6	NUM
fumecheng-12969	220	37	2	2	NUM
fumecheng-12969	220	38	3	3	NUM
fumecheng-12969	220	39	6	6	NUM
fumecheng-12969	220	40	8	8	NUM
fumecheng-12969	220	41	101	101	NUM
fumecheng-12969	220	42	0	0	NUM
fumecheng-12969	220	43	4	4	NUM
fumecheng-12969	220	44	3	3	NUM
fumecheng-12969	220	45	52	52	NUM
fumecheng-12969	220	46	2	2	NUM
fumecheng-12969	220	47	7	7	NUM
fumecheng-12969	220	48	92	92	NUM
fumecheng-12969	220	49	1	1	NUM
fumecheng-12969	220	50	5	5	NUM
fumecheng-12969	220	51	3	3	NUM
fumecheng-12969	220	52	2	2	NUM
fumecheng-12969	220	53	4	4	NUM
fumecheng-12969	220	54	6	6	NUM
fumecheng-12969	220	55	2	2	NUM
fumecheng-12969	220	56	3	3	NUM
fumecheng-12969	220	57	6	6	NUM
fumecheng-12969	220	58	8	8	NUM
fumecheng-12969	220	59	101	101	NUM
fumecheng-12969	220	60	2	2	NUM
fumecheng-12969	220	61	3	3	NUM
fumecheng-12969	220	62	52	52	NUM
fumecheng-12969	220	63	2	2	NUM
fumecheng-12969	220	64	7	7	NUM
fumecheng-12969	220	65	92	92	NUM
fumecheng-12969	220	66	3	3	NUM
fumecheng-12969	220	67	3	3	NUM
fumecheng-12969	220	68	4	4	NUM
fumecheng-12969	220	69	6	6	NUM
fumecheng-12969	220	70	2	2	NUM
fumecheng-12969	220	71	3	3	NUM
fumecheng-12969	220	72	8	8	NUM
fumecheng-12969	220	73	10	10	NUM
fumecheng-12969	220	74	4	4	NUM
fumecheng-12969	220	75	3	3	NUM
fumecheng-12969	220	76	3	3	NUM
fumecheng-12969	220	77	5	5	NUM
fumecheng-12969	220	78	,	,	PUNCT
fumecheng-12969	220	79	2	2	NUM
fumecheng-12969	220	80	8	8	NUM
fumecheng-12969	220	81	2	2	NUM
fumecheng-12969	220	82	8	8	NUM
fumecheng-12969	220	83	16	16	NUM
fumecheng-12969	220	84	3	3	NUM
fumecheng-12969	220	85	53	53	NUM
fumecheng-12969	220	86	1	1	NUM
fumecheng-12969	220	87	,	,	PUNCT
fumecheng-12969	220	88	4	4	NUM
fumecheng-12969	220	89	4	4	NUM
fumecheng-12969	220	90	8	8	NUM
fumecheng-12969	220	91	15	15	NUM
fumecheng-12969	220	92	,	,	PUNCT
fumecheng-12969	220	93	2	2	NUM
fumecheng-12969	220	94	2	2	NUM
fumecheng-12969	220	95	2	2	NUM
fumecheng-12969	220	96	2	2	NUM
fumecheng-12969	220	97	32	32	NUM
fumecheng-12969	220	98	5	5	NUM
fumecheng-12969	220	99	,	,	PUNCT
fumecheng-12969	220	100	4	4	NUM
fumecheng-12969	220	101	4	4	NUM
fumecheng-12969	220	102	16	16	NUM
fumecheng-12969	220	103	3	3	NUM
fumecheng-12969	220	104	8	8	NUM
fumecheng-12969	220	105	8	8	NUM
fumecheng-12969	220	106	d	d	SYM
fumecheng-12969	220	107	b	b	PROPN
fumecheng-12969	220	108	d	d	PROPN
fumecheng-12969	220	109	b	b	PROPN
fumecheng-12969	220	110	d	d	X
fumecheng-12969	220	111	b	b	PROPN
fumecheng-12969	221	1	d	d	X
fumecheng-12969	221	2	bd	bd	PROPN
fumecheng-12969	221	3	b	b	PROPN
fumecheng-12969	221	4	b	b	PROPN
fumecheng-12969	221	5	d	d	PROPN
fumecheng-12969	221	6	d	d	PROPN
fumecheng-12969	221	7	b	b	PROPN
fumecheng-12969	221	8	d	d	X
fumecheng-12969	221	9	bd	bd	PROPN
fumecheng-12969	221	10	b	b	PROPN
fumecheng-12969	221	11	b	b	PROPN
fumecheng-12969	221	12	bd	bd	PROPN
fumecheng-12969	221	13	d	d	PROPN
fumecheng-12969	221	14	b	b	PROPN
fumecheng-12969	221	15	d	d	PROPN
fumecheng-12969	221	16	b	b	PROPN
fumecheng-12969	221	17	d	d	X
fumecheng-12969	221	18	b	b	PROPN
fumecheng-12969	222	1	d	d	X
fumecheng-12969	222	2	bd	bd	PROPN
fumecheng-12969	222	3	b	b	PROPN
fumecheng-12969	222	4	b	b	PROPN
fumecheng-12969	222	5	d	d	PROPN
fumecheng-12969	222	6	b	b	PROPN
fumecheng-12969	223	1	d	d	X
fumecheng-12969	223	2	bd	bd	PROPN
fumecheng-12969	223	3	b	b	PROPN
fumecheng-12969	223	4	b	b	PROPN
fumecheng-12969	223	5	d	d	PROPN
fumecheng-12969	223	6	b	b	PROPN
fumecheng-12969	223	7	d	d	PROPN
fumecheng-12969	223	8	b	b	PROPN
fumecheng-12969	223	9	d	d	PROPN
fumecheng-12969	223	10	b	b	PROPN
fumecheng-12969	223	11	b	b	X
fumecheng-12969	223	12			X
fumecheng-12969	223	13			X
fumecheng-12969	223	14			X
fumecheng-12969	223	15			X
fumecheng-12969	223	16			X
fumecheng-12969	223	17			NOUN
fumecheng-12969	223	18			NOUN
fumecheng-12969	223	19			PROPN
fumecheng-12969	223	20	=	=	SYM
fumecheng-12969	224	1	−	−	PROPN
fumecheng-12969	225	1	+	+	CCONJ
fumecheng-12969	225	2	+	+	PUNCT
fumecheng-12969	225	3	+	+	PUNCT
fumecheng-12969	225	4	+	+	CCONJ
fumecheng-12969	225	5	+	+	ADJ
fumecheng-12969	225	6			ADJ
fumecheng-12969	225	7			PROPN
fumecheng-12969	225	8			PROPN
fumecheng-12969	225	9			NOUN
fumecheng-12969	225	10			VERB
fumecheng-12969	225	11			NOUN
fumecheng-12969	225	12			NOUN
fumecheng-12969	225	13	=	=	SYM
fumecheng-12969	225	14	−	−	PROPN
fumecheng-12969	226	1	+	+	CCONJ
fumecheng-12969	226	2	+	+	PUNCT
fumecheng-12969	227	1	+	+	CCONJ
fumecheng-12969	227	2	+	+	ADJ
fumecheng-12969	227	3			ADJ
fumecheng-12969	227	4			PROPN
fumecheng-12969	227	5			PROPN
fumecheng-12969	227	6			NOUN
fumecheng-12969	227	7			VERB
fumecheng-12969	227	8			NOUN
fumecheng-12969	227	9			NOUN
fumecheng-12969	227	10	=	=	SYM
fumecheng-12969	228	1	−	−	PROPN
fumecheng-12969	229	1	+	+	CCONJ
fumecheng-12969	229	2	+	+	PUNCT
fumecheng-12969	230	1	+	+	CCONJ
fumecheng-12969	230	2	+	+	ADJ
fumecheng-12969	230	3			ADJ
fumecheng-12969	230	4			PROPN
fumecheng-12969	230	5			PROPN
fumecheng-12969	230	6			NOUN
fumecheng-12969	230	7			VERB
fumecheng-12969	230	8			NOUN
fumecheng-12969	230	9			NOUN
fumecheng-12969	230	10	=	=	SYM
fumecheng-12969	231	1	−	−	PROPN
fumecheng-12969	232	1	+	+	CCONJ
fumecheng-12969	232	2	+	+	ADJ
fumecheng-12969	232	3			ADJ
fumecheng-12969	232	4			PROPN
fumecheng-12969	233	1			PROPN
fumecheng-12969	233	2			NOUN
fumecheng-12969	233	3			VERB
fumecheng-12969	233	4			NOUN
fumecheng-12969	233	5			NOUN
fumecheng-12969	234	1	=	=	SYM
fumecheng-12969	234	2	−	−	PROPN
fumecheng-12969	235	1	+	+	CCONJ
fumecheng-12969	236	1	+	+	ADJ
fumecheng-12969	236	2			ADJ
fumecheng-12969	236	3			CCONJ
fumecheng-12969	236	4			ADJ
fumecheng-12969	236	5			NOUN
fumecheng-12969	236	6	5	5	NUM
fumecheng-12969	236	7	9	9	NUM
fumecheng-12969	236	8	5	5	NUM
fumecheng-12969	236	9	6	6	NUM
fumecheng-12969	236	10	10	10	NUM
fumecheng-12969	236	11	6	6	NUM
fumecheng-12969	236	12	,	,	PUNCT
fumecheng-12969	236	13	16	16	NUM
fumecheng-12969	236	14	,	,	PUNCT
fumecheng-12969	236	15	16	16	NUM
fumecheng-12969	236	16	.	.	PUNCT
fumecheng-12969	237	1	32	32	NUM
fumecheng-12969	237	2	d	d	SYM
fumecheng-12969	237	3	b	b	PROPN
fumecheng-12969	237	4	d	d	X
fumecheng-12969	237	5	b	b	PROPN
fumecheng-12969	237	6			VERB
fumecheng-12969	237	7	=	=	SYM
fumecheng-12969	237	8			VERB
fumecheng-12969	237	9	=	=	SYM
fumecheng-12969	237	10	(	(	PUNCT
fumecheng-12969	237	11	42	42	NUM
fumecheng-12969	237	12	)	)	PUNCT
fumecheng-12969	237	13	682	682	NUM
fumecheng-12969	237	14	m.	m.	NOUN
fumecheng-12969	237	15	nadeem	nadeem	NOUN
fumecheng-12969	237	16	,	,	PUNCT
fumecheng-12969	237	17	q.-t	q.-t	NOUN
fumecheng-12969	237	18	.	.	PUNCT
fumecheng-12969	238	1	ain	ain	PROPN
fumecheng-12969	238	2	,	,	PUNCT
fumecheng-12969	238	3	n.	n.	PROPN
fumecheng-12969	238	4	almakayeel	almakayeel	PROPN
fumecheng-12969	238	5	,	,	PUNCT
fumecheng-12969	238	6	y.	y.	PROPN
fumecheng-12969	238	7	shao	shao	PROPN
fumecheng-12969	238	8	,	,	PUNCT
fumecheng-12969	238	9	s.	s.	PROPN
fumecheng-12969	238	10	wang	wang	PROPN
fumecheng-12969	238	11	,	,	PUNCT
fumecheng-12969	238	12	m.	m.	NOUN
fumecheng-12969	238	13	shutaywi	shutaywi	PROPN
fumecheng-12969	238	14	after	after	ADP
fumecheng-12969	238	15	adopting	adopt	VERB
fumecheng-12969	238	16	inverse	inverse	NOUN
fumecheng-12969	238	17	st	st	NOUN
fumecheng-12969	238	18	to	to	PART
fumecheng-12969	238	19	resolve	resolve	VERB
fumecheng-12969	238	20	eq	eq	ADP
fumecheng-12969	238	21	.	.	PUNCT
fumecheng-12969	238	22	(	(	PUNCT
fumecheng-12969	238	23	41	41	NUM
fumecheng-12969	238	24	)	)	PUNCT
fumecheng-12969	238	25	,	,	PUNCT
fumecheng-12969	238	26	we	we	PRON
fumecheng-12969	238	27	obtain	obtain	VERB
fumecheng-12969	238	28	the	the	DET
fumecheng-12969	238	29	following	following	NOUN
fumecheng-12969	238	30	:	:	PUNCT
fumecheng-12969	238	31	0	0	NUM
fumecheng-12969	239	1	1	1	NUM
fumecheng-12969	239	2	2	2	NUM
fumecheng-12969	239	3	1	1	NUM
fumecheng-12969	239	4	2	2	NUM
fumecheng-12969	239	5	2	2	NUM
fumecheng-12969	239	6	3	3	NUM
fumecheng-12969	239	7	4	4	NUM
fumecheng-12969	239	8	2	2	NUM
fumecheng-12969	239	9	2	2	NUM
fumecheng-12969	239	10	5	5	NUM
fumecheng-12969	239	11	6	6	NUM
fumecheng-12969	239	12	2	2	NUM
fumecheng-12969	239	13	2	2	NUM
fumecheng-12969	239	14	(	(	PUNCT
fumecheng-12969	239	15	cos	cos	NOUN
fumecheng-12969	239	16	1	1	NUM
fumecheng-12969	239	17	)	)	PUNCT
fumecheng-12969	239	18	sin	sin	NOUN
fumecheng-12969	239	19	(	(	PUNCT
fumecheng-12969	239	20	cos	cos	PROPN
fumecheng-12969	239	21	cos	cos	PROPN
fumecheng-12969	239	22	2	2	NUM
fumecheng-12969	239	23	)	)	PUNCT
fumecheng-12969	239	24	2	2	NUM
fumecheng-12969	239	25	3	3	NUM
fumecheng-12969	239	26	(	(	PUNCT
fumecheng-12969	239	27	cos	cos	PROPN
fumecheng-12969	239	28	cos3	cos3	PROPN
fumecheng-12969	239	29	)	)	PUNCT
fumecheng-12969	239	30	(	(	PUNCT
fumecheng-12969	239	31	cos	cos	PROPN
fumecheng-12969	239	32	cos	cos	PROPN
fumecheng-12969	239	33	4	4	NUM
fumecheng-12969	239	34	)	)	PUNCT
fumecheng-12969	239	35	8	8	NUM
fumecheng-12969	239	36	15	15	NUM
fumecheng-12969	239	37	(	(	PUNCT
fumecheng-12969	239	38	cos	cos	PROPN
fumecheng-12969	239	39	cos5	cos5	PROPN
fumecheng-12969	239	40	)	)	PUNCT
fumecheng-12969	240	1	(	(	PUNCT
fumecheng-12969	240	2	cos	cos	PROPN
fumecheng-12969	240	3	cos	cos	PROPN
fumecheng-12969	240	4	6	6	NUM
fumecheng-12969	240	5	)	)	PUNCT
fumecheng-12969	240	6	.	.	PUNCT
fumecheng-12969	241	1	24	24	NUM
fumecheng-12969	241	2	35	35	NUM
fumecheng-12969	241	3	t	t	NOUN
fumecheng-12969	241	4	t	t	PROPN
fumecheng-12969	241	5	t	t	PROPN
fumecheng-12969	241	6	t	t	PROPN
fumecheng-12969	241	7	t	t	PROPN
fumecheng-12969	241	8	t	t	PROPN
fumecheng-12969	241	9	t	t	PROPN
fumecheng-12969	241	10	t	t	PROPN
fumecheng-12969	241	11	t	t	PROPN
fumecheng-12969	241	12	t	t	PROPN
fumecheng-12969	241	13	t	t	PROPN
fumecheng-12969	241	14	t	t	PROPN
fumecheng-12969	241	15	t	t	PROPN
fumecheng-12969	241	16			PROPN
fumecheng-12969	241	17			X
fumecheng-12969	241	18			X
fumecheng-12969	241	19			X
fumecheng-12969	241	20			X
fumecheng-12969	241	21			PUNCT
fumecheng-12969	241	22			X
fumecheng-12969	241	23			X
fumecheng-12969	241	24			X
fumecheng-12969	241	25			X
fumecheng-12969	241	26			X
fumecheng-12969	241	27			X
fumecheng-12969	241	28			X
fumecheng-12969	241	29			X
fumecheng-12969	241	30			X
fumecheng-12969	241	31			X
fumecheng-12969	241	32			X
fumecheng-12969	241	33			X
fumecheng-12969	241	34			X
fumecheng-12969	241	35			VERB
fumecheng-12969	241	36			VERB
fumecheng-12969	241	37			VERB
fumecheng-12969	241	38	=	=	PUNCT
fumecheng-12969	241	39	−	−	PROPN
fumecheng-12969	241	40	−	−	NOUN
fumecheng-12969	241	41	−	−	NOUN
fumecheng-12969	241	42	−	−	PROPN
fumecheng-12969	241	43			NOUN
fumecheng-12969	241	44			VERB
fumecheng-12969	241	45	−	−	NOUN
fumecheng-12969	241	46	−	−	NOUN
fumecheng-12969	241	47	−	−	NOUN
fumecheng-12969	241	48	−	−	PROPN
fumecheng-12969	241	49			NOUN
fumecheng-12969	241	50			VERB
fumecheng-12969	241	51	−	−	NOUN
fumecheng-12969	241	52	−	−	NOUN
fumecheng-12969	241	53	−	−	NOUN
fumecheng-12969	241	54	−	−	PROPN
fumecheng-12969	241	55	(	(	PUNCT
fumecheng-12969	241	56	43	43	NUM
fumecheng-12969	241	57	)	)	PUNCT
fumecheng-12969	241	58	in	in	ADP
fumecheng-12969	241	59	order	order	NOUN
fumecheng-12969	241	60	to	to	PART
fumecheng-12969	241	61	preserve	preserve	VERB
fumecheng-12969	241	62	its	its	PRON
fumecheng-12969	241	63	periodicity	periodicity	NOUN
fumecheng-12969	241	64	for	for	ADP
fumecheng-12969	241	65	the	the	DET
fumecheng-12969	241	66	system	system	NOUN
fumecheng-12969	241	67	,	,	PUNCT
fumecheng-12969	241	68	the	the	DET
fumecheng-12969	241	69	components	component	NOUN
fumecheng-12969	241	70	of	of	ADP
fumecheng-12969	241	71	sint	sint	PROPN
fumecheng-12969	241	72	t	t	PROPN
fumecheng-12969	241	73	must	must	AUX
fumecheng-12969	241	74	be	be	AUX
fumecheng-12969	241	75	zero	zero	NUM
fumecheng-12969	241	76	.	.	PUNCT
fumecheng-12969	242	1	consequently	consequently	ADV
fumecheng-12969	242	2	,	,	PUNCT
fumecheng-12969	242	3	1	1	NUM
fumecheng-12969	242	4	0	0	NUM
fumecheng-12969	242	5	,	,	PUNCT
fumecheng-12969	242	6	2	2	NUM
fumecheng-12969	242	7			VERB
fumecheng-12969	242	8	=	=	SYM
fumecheng-12969	242	9	(	(	PUNCT
fumecheng-12969	242	10	44	44	NUM
fumecheng-12969	242	11	)	)	PUNCT
fumecheng-12969	242	12	or	or	CCONJ
fumecheng-12969	242	13	3	3	NUM
fumecheng-12969	242	14	52	52	NUM
fumecheng-12969	242	15	2	2	NUM
fumecheng-12969	242	16	7	7	NUM
fumecheng-12969	242	17	92	92	NUM
fumecheng-12969	242	18	5	5	NUM
fumecheng-12969	242	19	3	3	NUM
fumecheng-12969	242	20	53	53	NUM
fumecheng-12969	242	21	1	1	NUM
fumecheng-12969	242	22	0	0	NUM
fumecheng-12969	242	23	.	.	NOUN
fumecheng-12969	243	1	4	4	NUM
fumecheng-12969	243	2	4	4	NUM
fumecheng-12969	243	3	8	8	NUM
fumecheng-12969	243	4	d	d	NOUN
fumecheng-12969	243	5	b	b	PROPN
fumecheng-12969	243	6	d	d	X
fumecheng-12969	243	7	bd	bd	PROPN
fumecheng-12969	243	8	b	b	PROPN
fumecheng-12969	243	9	b	b	PROPN
fumecheng-12969	243	10	bd	bd	PROPN
fumecheng-12969	243	11			NOUN
fumecheng-12969	243	12			NOUN
fumecheng-12969	243	13	−	−	PROPN
fumecheng-12969	244	1	+	+	CCONJ
fumecheng-12969	245	1	+	+	PUNCT
fumecheng-12969	245	2	+	+	PUNCT
fumecheng-12969	245	3	+	+	CCONJ
fumecheng-12969	245	4	=	=	PROPN
fumecheng-12969	245	5			ADJ
fumecheng-12969	245	6			PROPN
fumecheng-12969	245	7			PROPN
fumecheng-12969	245	8			NOUN
fumecheng-12969	245	9	(	(	PUNCT
fumecheng-12969	245	10	45	45	NUM
fumecheng-12969	245	11	)	)	PUNCT
fumecheng-12969	245	12	it	it	PRON
fumecheng-12969	245	13	produces	produce	VERB
fumecheng-12969	245	14	the	the	DET
fumecheng-12969	245	15	following	following	ADJ
fumecheng-12969	245	16	result	result	NOUN
fumecheng-12969	245	17	:	:	PUNCT
fumecheng-12969	245	18	2	2	NUM
fumecheng-12969	245	19	4	4	NUM
fumecheng-12969	245	20	5	5	NUM
fumecheng-12969	245	21	7	7	NUM
fumecheng-12969	245	22	5	5	NUM
fumecheng-12969	245	23	2	2	NUM
fumecheng-12969	245	24	2	2	NUM
fumecheng-12969	245	25	8	8	NUM
fumecheng-12969	245	26	6	6	NUM
fumecheng-12969	245	27	5	5	NUM
fumecheng-12969	245	28	,	,	PUNCT
fumecheng-12969	245	29	8	8	NUM
fumecheng-12969	245	30	6	6	NUM
fumecheng-12969	245	31	d	d	PROPN
fumecheng-12969	245	32	d	d	PROPN
fumecheng-12969	245	33	b	b	PROPN
fumecheng-12969	245	34	d	d	PROPN
fumecheng-12969	245	35	b	b	PROPN
fumecheng-12969	245	36	d	d	PROPN
fumecheng-12969	245	37	b	b	X
fumecheng-12969	245	38			X
fumecheng-12969	246	1	+	+	X
fumecheng-12969	247	1	+	+	CCONJ
fumecheng-12969	247	2	=	=	SYM
fumecheng-12969	247	3	+	+	CCONJ
fumecheng-12969	247	4	(	(	PUNCT
fumecheng-12969	247	5	46	46	NUM
fumecheng-12969	247	6	)	)	PUNCT
fumecheng-12969	247	7	subsequently	subsequently	ADV
fumecheng-12969	247	8	,	,	PUNCT
fumecheng-12969	247	9	the	the	DET
fumecheng-12969	247	10	estimated	estimate	VERB
fumecheng-12969	247	11	first	first	ADJ
fumecheng-12969	247	12	-	-	PUNCT
fumecheng-12969	247	13	order	order	NOUN
fumecheng-12969	247	14	analytical	analytical	ADJ
fumecheng-12969	247	15	result	result	NOUN
fumecheng-12969	247	16	is	be	AUX
fumecheng-12969	247	17	as	as	SCONJ
fumecheng-12969	247	18	follows	follow	VERB
fumecheng-12969	247	19	:	:	PUNCT
fumecheng-12969	248	1	0	0	NUM
fumecheng-12969	248	2	1	1	NUM
fumecheng-12969	248	3	2	2	NUM
fumecheng-12969	248	4	3	3	NUM
fumecheng-12969	248	5	4	4	NUM
fumecheng-12969	248	6	5	5	NUM
fumecheng-12969	248	7	6	6	NUM
fumecheng-12969	248	8	(	(	PUNCT
fumecheng-12969	248	9	)	)	PUNCT
fumecheng-12969	248	10	cos	cos	PROPN
fumecheng-12969	248	11	cos	cos	PROPN
fumecheng-12969	248	12	2	2	NUM
fumecheng-12969	248	13	cos3	cos3	PROPN
fumecheng-12969	248	14	cos	cos	PROPN
fumecheng-12969	248	15	4	4	NUM
fumecheng-12969	248	16	cos5	cos5	NOUN
fumecheng-12969	248	17	cos	cos	PROPN
fumecheng-12969	248	18	6	6	NUM
fumecheng-12969	248	19	,	,	PUNCT
fumecheng-12969	248	20	hts	hts	PROPN
fumecheng-12969	248	21	a	a	DET
fumecheng-12969	248	22	a	a	DET
fumecheng-12969	248	23	b	b	NOUN
fumecheng-12969	248	24	t	t	NOUN
fumecheng-12969	248	25	a	a	DET
fumecheng-12969	248	26	t	t	NOUN
fumecheng-12969	248	27	a	a	DET
fumecheng-12969	248	28	t	t	NOUN
fumecheng-12969	248	29	a	a	DET
fumecheng-12969	248	30	t	t	NOUN
fumecheng-12969	248	31	a	a	DET
fumecheng-12969	248	32	t	t	NOUN
fumecheng-12969	248	33	a	a	DET
fumecheng-12969	248	34	t	t	NOUN
fumecheng-12969	248	35			PROPN
fumecheng-12969	248	36			X
fumecheng-12969	248	37			X
fumecheng-12969	248	38			X
fumecheng-12969	248	39			X
fumecheng-12969	248	40			X
fumecheng-12969	248	41			X
fumecheng-12969	249	1	=	=	PUNCT
fumecheng-12969	250	1	+	+	PUNCT
fumecheng-12969	250	2	+	+	PUNCT
fumecheng-12969	250	3	+	+	PUNCT
fumecheng-12969	250	4	+	+	PUNCT
fumecheng-12969	250	5	+	+	PUNCT
fumecheng-12969	250	6	+	+	PUNCT
fumecheng-12969	250	7	+	+	CCONJ
fumecheng-12969	250	8	(	(	PUNCT
fumecheng-12969	250	9	47	47	NUM
fumecheng-12969	250	10	)	)	PUNCT
fumecheng-12969	250	11	therefore	therefore	ADV
fumecheng-12969	250	12	,	,	PUNCT
fumecheng-12969	250	13	using	use	VERB
fumecheng-12969	250	14	eqs	eqs	PROPN
fumecheng-12969	250	15	.	.	PUNCT
fumecheng-12969	251	1	(	(	PUNCT
fumecheng-12969	251	2	46	46	NUM
fumecheng-12969	251	3	)	)	PUNCT
fumecheng-12969	251	4	and	and	CCONJ
fumecheng-12969	251	5	(	(	PUNCT
fumecheng-12969	251	6	47	47	NUM
fumecheng-12969	251	7	)	)	PUNCT
fumecheng-12969	251	8	,	,	PUNCT
fumecheng-12969	251	9	we	we	PRON
fumecheng-12969	251	10	can	can	AUX
fumecheng-12969	251	11	derive	derive	VERB
fumecheng-12969	251	12	the	the	DET
fumecheng-12969	251	13	periodic	periodic	ADJ
fumecheng-12969	251	14	motion	motion	NOUN
fumecheng-12969	251	15	of	of	ADP
fumecheng-12969	251	16	doubly	doubly	ADV
fumecheng-12969	251	17	clamped	clamp	VERB
fumecheng-12969	251	18	n	n	CCONJ
fumecheng-12969	251	19	/	/	SYM
fumecheng-12969	251	20	mems	mem	NOUN
fumecheng-12969	251	21	system	system	NOUN
fumecheng-12969	251	22	built	build	VERB
fumecheng-12969	251	23	on	on	ADP
fumecheng-12969	251	24	nanobeams	nanobeam	NOUN
fumecheng-12969	251	25	with	with	ADP
fumecheng-12969	251	26	vdw	vdw	NOUN
fumecheng-12969	251	27	forces	force	NOUN
fumecheng-12969	251	28	,	,	PUNCT
fumecheng-12969	251	29	and	and	CCONJ
fumecheng-12969	251	30	where	where	SCONJ
fumecheng-12969	251	31	:	:	PUNCT
fumecheng-12969	251	32	0	0	NUM
fumecheng-12969	251	33	3	3	NUM
fumecheng-12969	251	34	5	5	NUM
fumecheng-12969	251	35	6	6	NUM
fumecheng-12969	251	36	72	72	NUM
fumecheng-12969	251	37	4	4	NUM
fumecheng-12969	251	38	2	2	NUM
fumecheng-12969	251	39	0	0	NUM
fumecheng-12969	251	40	1	1	NUM
fumecheng-12969	251	41	0	0	NUM
fumecheng-12969	251	42	22	22	NUM
fumecheng-12969	251	43	2	2	NUM
fumecheng-12969	251	44	2	2	NUM
fumecheng-12969	251	45	3	3	NUM
fumecheng-12969	251	46	5	5	NUM
fumecheng-12969	251	47	64	64	NUM
fumecheng-12969	251	48	3	3	NUM
fumecheng-12969	251	49	4	4	NUM
fumecheng-12969	251	50	5	5	NUM
fumecheng-12969	251	51	62	62	NUM
fumecheng-12969	251	52	2	2	NUM
fumecheng-12969	251	53	2	2	NUM
fumecheng-12969	251	54	2	2	NUM
fumecheng-12969	251	55	1	1	NUM
fumecheng-12969	251	56	,	,	PUNCT
fumecheng-12969	251	57	,	,	PUNCT
fumecheng-12969	251	58	,	,	PUNCT
fumecheng-12969	251	59	3	3	NUM
fumecheng-12969	251	60	8	8	NUM
fumecheng-12969	251	61	15	15	NUM
fumecheng-12969	251	62	24	24	NUM
fumecheng-12969	251	63	35	35	NUM
fumecheng-12969	251	64	48	48	NUM
fumecheng-12969	251	65	3	3	NUM
fumecheng-12969	251	66	,	,	PUNCT
fumecheng-12969	251	67	,	,	PUNCT
fumecheng-12969	251	68	,	,	PUNCT
fumecheng-12969	251	69	.	.	PUNCT
fumecheng-12969	252	1	8	8	NUM
fumecheng-12969	252	2	15	15	NUM
fumecheng-12969	252	3	24	24	NUM
fumecheng-12969	252	4	35	35	NUM
fumecheng-12969	252	5	a	a	PRON
fumecheng-12969	253	1	a	a	DET
fumecheng-12969	253	2	a	a	DET
fumecheng-12969	253	3	a	a	DET
fumecheng-12969	253	4	a	a	DET
fumecheng-12969	253	5	a	a	NOUN
fumecheng-12969	253	6	a	a	DET
fumecheng-12969	253	7			X
fumecheng-12969	253	8			X
fumecheng-12969	253	9			X
fumecheng-12969	253	10			X
fumecheng-12969	253	11			X
fumecheng-12969	253	12			X
fumecheng-12969	253	13			X
fumecheng-12969	253	14			PUNCT
fumecheng-12969	253	15			NOUN
fumecheng-12969	253	16			VERB
fumecheng-12969	253	17			VERB
fumecheng-12969	253	18			NOUN
fumecheng-12969	253	19			PUNCT
fumecheng-12969	253	20			PROPN
fumecheng-12969	253	21			NOUN
fumecheng-12969	253	22	=	=	PUNCT
fumecheng-12969	253	23	−	−	PROPN
fumecheng-12969	254	1	=	=	PUNCT
fumecheng-12969	254	2			VERB
fumecheng-12969	254	3	−	−	NUM
fumecheng-12969	254	4	−	−	NOUN
fumecheng-12969	254	5	−	−	PROPN
fumecheng-12969	254	6	−	−	PROPN
fumecheng-12969	255	1	−	−	NOUN
fumecheng-12969	256	1	−	−	PROPN
fumecheng-12969	257	1	=	=	SYM
fumecheng-12969	257	2			PROPN
fumecheng-12969	257	3			PROPN
fumecheng-12969	257	4			PROPN
fumecheng-12969	257	5			NOUN
fumecheng-12969	257	6			VERB
fumecheng-12969	257	7			VERB
fumecheng-12969	257	8			NOUN
fumecheng-12969	257	9	=	=	NOUN
fumecheng-12969	257	10	=	=	PUNCT
fumecheng-12969	257	11	=	=	SYM
fumecheng-12969	257	12	=	=	SYM
fumecheng-12969	257	13	(	(	PUNCT
fumecheng-12969	257	14	48	48	NUM
fumecheng-12969	257	15	)	)	PUNCT
fumecheng-12969	257	16	6	6	NUM
fumecheng-12969	257	17	.	.	PUNCT
fumecheng-12969	257	18	numerical	numerical	PROPN
fumecheng-12969	257	19	findings	finding	NOUN
fumecheng-12969	257	20	and	and	CCONJ
fumecheng-12969	257	21	analysis	analysis	NOUN
fumecheng-12969	257	22	this	this	DET
fumecheng-12969	257	23	section	section	NOUN
fumecheng-12969	257	24	compares	compare	VERB
fumecheng-12969	257	25	the	the	DET
fumecheng-12969	257	26	analysis	analysis	NOUN
fumecheng-12969	257	27	of	of	ADP
fumecheng-12969	257	28	hts	hts	PROPN
fumecheng-12969	257	29	results	result	NOUN
fumecheng-12969	257	30	with	with	ADP
fumecheng-12969	257	31	the	the	DET
fumecheng-12969	257	32	numerical	numerical	ADJ
fumecheng-12969	257	33	results	result	NOUN
fumecheng-12969	257	34	of	of	ADP
fumecheng-12969	257	35	literature	literature	NOUN
fumecheng-12969	257	36	study	study	NOUN
fumecheng-12969	257	37	in	in	ADP
fumecheng-12969	257	38	[	[	X
fumecheng-12969	257	39	17	17	NUM
fumecheng-12969	257	40	]	]	PUNCT
fumecheng-12969	257	41	.	.	PUNCT
fumecheng-12969	258	1	figure	figure	NOUN
fumecheng-12969	258	2	2	2	NUM
fumecheng-12969	258	3	illustrates	illustrate	VERB
fumecheng-12969	258	4	the	the	DET
fumecheng-12969	258	5	variation	variation	NOUN
fumecheng-12969	258	6	in	in	ADP
fumecheng-12969	258	7	displacement	displacement	NOUN
fumecheng-12969	258	8	obtained	obtain	VERB
fumecheng-12969	258	9	for	for	ADP
fumecheng-12969	258	10	n	n	CCONJ
fumecheng-12969	258	11	/	/	SYM
fumecheng-12969	258	12	mems	mem	NOUN
fumecheng-12969	258	13	parameters	parameter	NOUN
fumecheng-12969	258	14	under	under	ADP
fumecheng-12969	258	15	vdw	vdw	NOUN
fumecheng-12969	258	16	forces	force	NOUN
fumecheng-12969	258	17	,	,	PUNCT
fumecheng-12969	258	18	in	in	ADP
fumecheng-12969	258	19	which	which	PRON
fumecheng-12969	258	20	we	we	PRON
fumecheng-12969	258	21	demonstrate	demonstrate	VERB
fumecheng-12969	258	22	mathematical	mathematical	ADJ
fumecheng-12969	258	23	software	software	NOUN
fumecheng-12969	258	24	(	(	PUNCT
fumecheng-12969	258	25	dotted	dotted	ADJ
fumecheng-12969	258	26	line	line	NOUN
fumecheng-12969	258	27	)	)	PUNCT
fumecheng-12969	258	28	,	,	PUNCT
fumecheng-12969	258	29	the	the	DET
fumecheng-12969	258	30	hts	hts	PROPN
fumecheng-12969	258	31	(	(	PUNCT
fumecheng-12969	258	32	black	black	ADJ
fumecheng-12969	258	33	square	square	NOUN
fumecheng-12969	258	34	with	with	ADP
fumecheng-12969	258	35	straight	straight	ADJ
fumecheng-12969	258	36	line	line	NOUN
fumecheng-12969	258	37	)	)	PUNCT
fumecheng-12969	258	38	,	,	PUNCT
fumecheng-12969	258	39	and	and	CCONJ
fumecheng-12969	258	40	srhbm	srhbm	VERB
fumecheng-12969	259	1	[	[	X
fumecheng-12969	259	2	17	17	NUM
fumecheng-12969	259	3	]	]	X
fumecheng-12969	259	4	(	(	PUNCT
fumecheng-12969	259	5	arrow	arrow	NOUN
fumecheng-12969	259	6	head	head	NOUN
fumecheng-12969	259	7	with	with	ADP
fumecheng-12969	259	8	red	red	ADJ
fumecheng-12969	259	9	line	line	NOUN
fumecheng-12969	259	10	)	)	PUNCT
fumecheng-12969	259	11	.	.	PUNCT
fumecheng-12969	260	1	this	this	PRON
fumecheng-12969	260	2	shows	show	VERB
fumecheng-12969	260	3	an	an	DET
fumecheng-12969	260	4	analysis	analysis	NOUN
fumecheng-12969	260	5	of	of	ADP
fumecheng-12969	260	6	the	the	DET
fumecheng-12969	260	7	mid	mid	ADJ
fumecheng-12969	260	8	-	-	ADJ
fumecheng-12969	260	9	plane	plane	ADJ
fumecheng-12969	260	10	deviation	deviation	NOUN
fumecheng-12969	260	11	of	of	ADP
fumecheng-12969	260	12	nanobeams	nanobeam	NOUN
fumecheng-12969	260	13	obtained	obtain	VERB
fumecheng-12969	260	14	numerically	numerically	ADV
fumecheng-12969	260	15	using	use	VERB
fumecheng-12969	260	16	rk4	rk4	NOUN
fumecheng-12969	260	17	and	and	CCONJ
fumecheng-12969	260	18	qualitatively	qualitatively	ADV
fumecheng-12969	260	19	with	with	ADP
fumecheng-12969	260	20	hts	ht	NOUN
fumecheng-12969	260	21	and	and	CCONJ
fumecheng-12969	260	22	srhbm	srhbm	NOUN
fumecheng-12969	260	23	.	.	PUNCT
fumecheng-12969	261	1	analysis	analysis	NOUN
fumecheng-12969	261	2	of	of	ADP
fumecheng-12969	261	3	nanobeam	nanobeam	NOUN
fumecheng-12969	261	4	-	-	PUNCT
fumecheng-12969	261	5	based	base	VERB
fumecheng-12969	261	6	microstructure	microstructure	NOUN
fumecheng-12969	261	7	in	in	ADP
fumecheng-12969	261	8	n	n	CCONJ
fumecheng-12969	261	9	/	/	SYM
fumecheng-12969	261	10	mems	mem	NOUN
fumecheng-12969	261	11	system	system	NOUN
fumecheng-12969	261	12	using	use	VERB
fumecheng-12969	261	13	van	van	PROPN
fumecheng-12969	261	14	der	der	ADJ
fumecheng-12969	261	15	waals	waal	NOUN
fumecheng-12969	261	16	forces	force	VERB
fumecheng-12969	261	17	683	683	NUM
fumecheng-12969	261	18	fig	fig	NOUN
fumecheng-12969	261	19	.	.	PUNCT
fumecheng-12969	262	1	2	2	NUM
fumecheng-12969	262	2	comparison	comparison	NOUN
fumecheng-12969	262	3	of	of	ADP
fumecheng-12969	262	4	hts	hts	PROPN
fumecheng-12969	262	5	solution	solution	NOUN
fumecheng-12969	262	6	with	with	ADP
fumecheng-12969	262	7	srhbm	srhbm	ADJ
fumecheng-12969	262	8	and	and	CCONJ
fumecheng-12969	262	9	rk4	rk4	NOUN
fumecheng-12969	262	10	solution	solution	NOUN
fumecheng-12969	262	11	fig	fig	NOUN
fumecheng-12969	262	12	.	.	PUNCT
fumecheng-12969	263	1	3	3	NUM
fumecheng-12969	263	2	presents	present	VERB
fumecheng-12969	263	3	the	the	DET
fumecheng-12969	263	4	error	error	NOUN
fumecheng-12969	263	5	analysis	analysis	NOUN
fumecheng-12969	263	6	of	of	ADP
fumecheng-12969	263	7	hts	hts	PROPN
fumecheng-12969	263	8	and	and	CCONJ
fumecheng-12969	263	9	srhbm	srhbm	PROPN
fumecheng-12969	263	10	results	result	NOUN
fumecheng-12969	263	11	over	over	ADP
fumecheng-12969	263	12	time	time	NOUN
fumecheng-12969	263	13	with	with	ADP
fumecheng-12969	263	14	various	various	ADJ
fumecheng-12969	263	15	components	component	NOUN
fumecheng-12969	263	16	of	of	ADP
fumecheng-12969	263	17	identical	identical	ADJ
fumecheng-12969	263	18	parameters	parameter	NOUN
fumecheng-12969	263	19	,	,	PUNCT
fumecheng-12969	263	20	in	in	ADP
fumecheng-12969	263	21	which	which	PRON
fumecheng-12969	263	22	we	we	PRON
fumecheng-12969	263	23	demonstrate	demonstrate	VERB
fumecheng-12969	263	24	the	the	DET
fumecheng-12969	263	25	hts	hts	PROPN
fumecheng-12969	263	26	results	result	NOUN
fumecheng-12969	263	27	(	(	PUNCT
fumecheng-12969	263	28	arrow	arrow	NOUN
fumecheng-12969	263	29	head	head	NOUN
fumecheng-12969	263	30	with	with	ADP
fumecheng-12969	263	31	red	red	ADJ
fumecheng-12969	263	32	line	line	NOUN
fumecheng-12969	263	33	)	)	PUNCT
fumecheng-12969	263	34	,	,	PUNCT
fumecheng-12969	263	35	and	and	CCONJ
fumecheng-12969	263	36	srhbm	srhbm	VERB
fumecheng-12969	263	37	[	[	X
fumecheng-12969	263	38	17	17	NUM
fumecheng-12969	263	39	]	]	PUNCT
fumecheng-12969	263	40	(	(	PUNCT
fumecheng-12969	263	41	circle	circle	NOUN
fumecheng-12969	263	42	with	with	ADP
fumecheng-12969	263	43	red	red	ADJ
fumecheng-12969	263	44	line	line	NOUN
fumecheng-12969	263	45	)	)	PUNCT
fumecheng-12969	263	46	.	.	PUNCT
fumecheng-12969	264	1	the	the	DET
fumecheng-12969	264	2	parametric	parametric	ADJ
fumecheng-12969	264	3	values	value	NOUN
fumecheng-12969	264	4	are	be	AUX
fumecheng-12969	264	5	described	describe	VERB
fumecheng-12969	264	6	to	to	PART
fumecheng-12969	264	7	show	show	VERB
fumecheng-12969	264	8	the	the	DET
fumecheng-12969	264	9	efficiency	efficiency	NOUN
fumecheng-12969	264	10	of	of	ADP
fumecheng-12969	264	11	model	model	NOUN
fumecheng-12969	264	12	.	.	PUNCT
fumecheng-12969	265	1	fig	fig	NOUN
fumecheng-12969	265	2	.	.	PUNCT
fumecheng-12969	266	1	3	3	NUM
fumecheng-12969	266	2	error	error	NOUN
fumecheng-12969	266	3	analysis	analysis	NOUN
fumecheng-12969	266	4	between	between	ADP
fumecheng-12969	266	5	hts	hts	PROPN
fumecheng-12969	266	6	and	and	CCONJ
fumecheng-12969	266	7	srhbm	srhbm	PROPN
fumecheng-12969	266	8	solutions	solution	NOUN
fumecheng-12969	266	9	684	684	NUM
fumecheng-12969	266	10	m.	m.	NOUN
fumecheng-12969	266	11	nadeem	nadeem	PROPN
fumecheng-12969	266	12	,	,	PUNCT
fumecheng-12969	266	13	q.-t	q.-t	NOUN
fumecheng-12969	266	14	.	.	PUNCT
fumecheng-12969	267	1	ain	ain	PROPN
fumecheng-12969	267	2	,	,	PUNCT
fumecheng-12969	267	3	n.	n.	PROPN
fumecheng-12969	267	4	almakayeel	almakayeel	PROPN
fumecheng-12969	267	5	,	,	PUNCT
fumecheng-12969	267	6	y.	y.	PROPN
fumecheng-12969	267	7	shao	shao	PROPN
fumecheng-12969	267	8	,	,	PUNCT
fumecheng-12969	267	9	s.	s.	PROPN
fumecheng-12969	267	10	wang	wang	PROPN
fumecheng-12969	267	11	,	,	PUNCT
fumecheng-12969	267	12	m.	m.	PROPN
fumecheng-12969	267	13	shutaywi	shutaywi	PROPN
fumecheng-12969	267	14	fig	fig	PROPN
fumecheng-12969	267	15	.	.	PUNCT
fumecheng-12969	268	1	4	4	NUM
fumecheng-12969	268	2	examines	examine	VERB
fumecheng-12969	268	3	the	the	DET
fumecheng-12969	268	4	variation	variation	NOUN
fumecheng-12969	268	5	in	in	ADP
fumecheng-12969	268	6	parameters	parameter	NOUN
fumecheng-12969	268	7	by	by	ADP
fumecheng-12969	268	8	using	use	VERB
fumecheng-12969	268	9	our	our	PRON
fumecheng-12969	268	10	purposed	purposed	ADJ
fumecheng-12969	268	11	scheme	scheme	NOUN
fumecheng-12969	268	12	,	,	PUNCT
fumecheng-12969	268	13	whereas	whereas	SCONJ
fumecheng-12969	268	14	the	the	DET
fumecheng-12969	268	15	other	other	ADJ
fumecheng-12969	268	16	three	three	NUM
fumecheng-12969	268	17	parameters	parameter	NOUN
fumecheng-12969	268	18	remain	remain	VERB
fumecheng-12969	268	19	unchanged	unchanged	ADJ
fumecheng-12969	268	20	.	.	PUNCT
fumecheng-12969	269	1	the	the	DET
fumecheng-12969	269	2	results	result	NOUN
fumecheng-12969	269	3	of	of	ADP
fumecheng-12969	269	4	the	the	DET
fumecheng-12969	269	5	hts	ht	NOUN
fumecheng-12969	269	6	and	and	CCONJ
fumecheng-12969	269	7	by	by	ADP
fumecheng-12969	269	8	using	use	VERB
fumecheng-12969	269	9	the	the	DET
fumecheng-12969	269	10	mathematical	mathematical	ADJ
fumecheng-12969	269	11	software	software	NOUN
fumecheng-12969	269	12	are	be	AUX
fumecheng-12969	269	13	in	in	ADP
fumecheng-12969	269	14	agreement	agreement	NOUN
fumecheng-12969	269	15	at	at	ADP
fumecheng-12969	269	16	various	various	ADJ
fumecheng-12969	269	17	values	value	NOUN
fumecheng-12969	269	18	of	of	ADP
fumecheng-12969	269	19	the	the	DET
fumecheng-12969	269	20	amplitude	amplitude	NOUN
fumecheng-12969	269	21	parameters	parameter	NOUN
fumecheng-12969	269	22	.	.	PUNCT
fumecheng-12969	270	1	fig	fig	NOUN
fumecheng-12969	270	2	.	.	PUNCT
fumecheng-12969	271	1	4	4	NUM
fumecheng-12969	271	2	effects	effect	NOUN
fumecheng-12969	271	3	of	of	ADP
fumecheng-12969	271	4	amplitude	amplitude	NOUN
fumecheng-12969	271	5	on	on	ADP
fumecheng-12969	271	6	deflection	deflection	NOUN
fumecheng-12969	271	7	of	of	ADP
fumecheng-12969	271	8	nanobeam	nanobeam	ADJ
fumecheng-12969	271	9	fig	fig	NOUN
fumecheng-12969	271	10	.	.	PUNCT
fumecheng-12969	272	1	5	5	NUM
fumecheng-12969	272	2	shows	show	VERB
fumecheng-12969	272	3	the	the	DET
fumecheng-12969	272	4	impact	impact	NOUN
fumecheng-12969	272	5	of	of	ADP
fumecheng-12969	272	6	hts	hts	PROPN
fumecheng-12969	272	7	for	for	ADP
fumecheng-12969	272	8	the	the	DET
fumecheng-12969	272	9	significant	significant	ADJ
fumecheng-12969	272	10	results	result	NOUN
fumecheng-12969	272	11	of	of	ADP
fumecheng-12969	272	12	n	n	CCONJ
fumecheng-12969	272	13	/	/	SYM
fumecheng-12969	272	14	mems	mem	NOUN
fumecheng-12969	272	15	system	system	NOUN
fumecheng-12969	272	16	.	.	PUNCT
fumecheng-12969	273	1	only	only	ADV
fumecheng-12969	273	2	one	one	NUM
fumecheng-12969	273	3	parameter	parameter	NOUN
fumecheng-12969	273	4	is	be	AUX
fumecheng-12969	273	5	changed	change	VERB
fumecheng-12969	273	6	,	,	PUNCT
fumecheng-12969	273	7	while	while	SCONJ
fumecheng-12969	273	8	the	the	DET
fumecheng-12969	273	9	other	other	ADJ
fumecheng-12969	273	10	three	three	NUM
fumecheng-12969	273	11	parameters	parameter	NOUN
fumecheng-12969	273	12	remain	remain	VERB
fumecheng-12969	273	13	unchanged	unchanged	ADJ
fumecheng-12969	273	14	at	at	ADP
fumecheng-12969	273	15	α=0	α=0	PROPN
fumecheng-12969	273	16	,	,	PUNCT
fumecheng-12969	273	17	50	50	NUM
fumecheng-12969	273	18	,	,	PUNCT
fumecheng-12969	273	19	100	100	NUM
fumecheng-12969	273	20	,	,	PUNCT
fumecheng-12969	273	21	150	150	NUM
fumecheng-12969	274	1	.	.	PUNCT
fumecheng-12969	274	2	fig	fig	NOUN
fumecheng-12969	274	3	.	.	PUNCT
fumecheng-12969	275	1	5	5	NUM
fumecheng-12969	275	2	effects	effect	NOUN
fumecheng-12969	275	3	of	of	ADP
fumecheng-12969	275	4	gap	gap	NOUN
fumecheng-12969	275	5	parameter	parameter	NOUN
fumecheng-12969	275	6	on	on	ADP
fumecheng-12969	275	7	deflection	deflection	NOUN
fumecheng-12969	275	8	of	of	ADP
fumecheng-12969	275	9	nanobeam	nanobeam	ADJ
fumecheng-12969	275	10	analysis	analysis	NOUN
fumecheng-12969	275	11	of	of	ADP
fumecheng-12969	275	12	nanobeam	nanobeam	NOUN
fumecheng-12969	275	13	-	-	PUNCT
fumecheng-12969	275	14	based	base	VERB
fumecheng-12969	275	15	microstructure	microstructure	NOUN
fumecheng-12969	275	16	in	in	ADP
fumecheng-12969	275	17	n	n	CCONJ
fumecheng-12969	275	18	/	/	SYM
fumecheng-12969	275	19	mems	mem	NOUN
fumecheng-12969	275	20	system	system	NOUN
fumecheng-12969	275	21	using	use	VERB
fumecheng-12969	275	22	van	van	PROPN
fumecheng-12969	275	23	der	der	ADJ
fumecheng-12969	275	24	waals	waal	NOUN
fumecheng-12969	275	25	forces	force	VERB
fumecheng-12969	275	26	685	685	NUM
fumecheng-12969	275	27	fig	fig	NOUN
fumecheng-12969	275	28	.	.	PUNCT
fumecheng-12969	276	1	6	6	NUM
fumecheng-12969	276	2	illustrates	illustrate	VERB
fumecheng-12969	276	3	the	the	DET
fumecheng-12969	276	4	various	various	ADJ
fumecheng-12969	276	5	elements	element	NOUN
fumecheng-12969	276	6	of	of	ADP
fumecheng-12969	276	7	the	the	DET
fumecheng-12969	276	8	problem	problem	NOUN
fumecheng-12969	276	9	influenced	influence	VERB
fumecheng-12969	276	10	by	by	ADP
fumecheng-12969	276	11	hts	ht	NOUN
fumecheng-12969	276	12	solution	solution	NOUN
fumecheng-12969	276	13	.	.	PUNCT
fumecheng-12969	277	1	the	the	DET
fumecheng-12969	277	2	other	other	ADJ
fumecheng-12969	277	3	three	three	NUM
fumecheng-12969	277	4	remain	remain	VERB
fumecheng-12969	277	5	steady	steady	ADJ
fumecheng-12969	277	6	parameters	parameter	NOUN
fumecheng-12969	277	7	and	and	CCONJ
fumecheng-12969	277	8	only	only	ADV
fumecheng-12969	277	9	one	one	NUM
fumecheng-12969	277	10	factor	factor	NOUN
fumecheng-12969	277	11	is	be	AUX
fumecheng-12969	277	12	changed	change	VERB
fumecheng-12969	277	13	at	at	ADP
fumecheng-12969	277	14	λ=0	λ=0	PROPN
fumecheng-12969	277	15	,	,	PUNCT
fumecheng-12969	277	16	0.3	0.3	NUM
fumecheng-12969	277	17	,	,	PUNCT
fumecheng-12969	277	18	0.6	0.6	NUM
fumecheng-12969	277	19	,	,	PUNCT
fumecheng-12969	277	20	0.9	0.9	NUM
fumecheng-12969	278	1	.	.	PUNCT
fumecheng-12969	278	2	fig	fig	NOUN
fumecheng-12969	278	3	.	.	PUNCT
fumecheng-12969	279	1	6	6	NUM
fumecheng-12969	279	2	effects	effect	NOUN
fumecheng-12969	279	3	of	of	ADP
fumecheng-12969	279	4	parameters	parameter	NOUN
fumecheng-12969	279	5	on	on	ADP
fumecheng-12969	279	6	deflection	deflection	NOUN
fumecheng-12969	279	7	of	of	ADP
fumecheng-12969	279	8	nanobeam	nanobeam	ADJ
fumecheng-12969	279	9	fig	fig	NOUN
fumecheng-12969	279	10	.	.	PUNCT
fumecheng-12969	280	1	7	7	NUM
fumecheng-12969	280	2	highlights	highlight	NOUN
fumecheng-12969	280	3	the	the	DET
fumecheng-12969	280	4	variation	variation	NOUN
fumecheng-12969	280	5	of	of	ADP
fumecheng-12969	280	6	the	the	DET
fumecheng-12969	280	7	problem	problem	NOUN
fumecheng-12969	280	8	affected	affect	VERB
fumecheng-12969	280	9	by	by	ADP
fumecheng-12969	280	10	the	the	DET
fumecheng-12969	280	11	hts	hts	PROPN
fumecheng-12969	280	12	solution	solution	NOUN
fumecheng-12969	280	13	.	.	PUNCT
fumecheng-12969	281	1	the	the	DET
fumecheng-12969	281	2	other	other	ADJ
fumecheng-12969	281	3	three	three	NUM
fumecheng-12969	281	4	factors	factor	NOUN
fumecheng-12969	281	5	endure	endure	VERB
fumecheng-12969	281	6	constant	constant	ADJ
fumecheng-12969	281	7	;	;	PUNCT
fumecheng-12969	281	8	only	only	ADV
fumecheng-12969	281	9	one	one	NUM
fumecheng-12969	281	10	is	be	AUX
fumecheng-12969	281	11	changed	change	VERB
fumecheng-12969	281	12	.	.	PUNCT
fumecheng-12969	282	1	the	the	DET
fumecheng-12969	282	2	results	result	NOUN
fumecheng-12969	282	3	from	from	ADP
fumecheng-12969	282	4	hts	ht	NOUN
fumecheng-12969	282	5	and	and	CCONJ
fumecheng-12969	282	6	using	use	VERB
fumecheng-12969	282	7	software	software	NOUN
fumecheng-12969	282	8	are	be	AUX
fumecheng-12969	282	9	in	in	ADP
fumecheng-12969	282	10	perfect	perfect	ADJ
fumecheng-12969	282	11	alignment	alignment	NOUN
fumecheng-12969	282	12	with	with	ADP
fumecheng-12969	282	13	the	the	DET
fumecheng-12969	282	14	parameter	parameter	NOUN
fumecheng-12969	282	15	's	's	PART
fumecheng-12969	282	16	value	value	NOUN
fumecheng-12969	282	17	n=0	n=0	NUM
fumecheng-12969	282	18	,	,	PUNCT
fumecheng-12969	282	19	5	5	NUM
fumecheng-12969	282	20	,	,	PUNCT
fumecheng-12969	282	21	10	10	NUM
fumecheng-12969	282	22	,	,	PUNCT
fumecheng-12969	282	23	15	15	NUM
fumecheng-12969	282	24	.	.	PUNCT
fumecheng-12969	283	1	in	in	ADP
fumecheng-12969	283	2	our	our	PRON
fumecheng-12969	283	3	graphical	graphical	ADJ
fumecheng-12969	283	4	fig	fig	NOUN
fumecheng-12969	283	5	.	.	PUNCT
fumecheng-12969	284	1	7	7	NUM
fumecheng-12969	284	2	effects	effect	NOUN
fumecheng-12969	284	3	of	of	ADP
fumecheng-12969	284	4	axial	axial	ADJ
fumecheng-12969	284	5	load	load	NOUN
fumecheng-12969	284	6	parameter	parameter	NOUN
fumecheng-12969	284	7	on	on	ADP
fumecheng-12969	284	8	deflection	deflection	NOUN
fumecheng-12969	284	9	of	of	ADP
fumecheng-12969	284	10	nanobeam	nanobeam	NOUN
fumecheng-12969	284	11	686	686	NUM
fumecheng-12969	284	12	m.	m.	NOUN
fumecheng-12969	284	13	nadeem	nadeem	NOUN
fumecheng-12969	284	14	,	,	PUNCT
fumecheng-12969	284	15	q.-t	q.-t	NOUN
fumecheng-12969	284	16	.	.	PUNCT
fumecheng-12969	285	1	ain	ain	PROPN
fumecheng-12969	285	2	,	,	PUNCT
fumecheng-12969	285	3	n.	n.	PROPN
fumecheng-12969	285	4	almakayeel	almakayeel	PROPN
fumecheng-12969	285	5	,	,	PUNCT
fumecheng-12969	285	6	y.	y.	PROPN
fumecheng-12969	285	7	shao	shao	PROPN
fumecheng-12969	285	8	,	,	PUNCT
fumecheng-12969	285	9	s.	s.	PROPN
fumecheng-12969	285	10	wang	wang	PROPN
fumecheng-12969	285	11	,	,	PUNCT
fumecheng-12969	285	12	m.	m.	NOUN
fumecheng-12969	285	13	shutaywi	shutaywi	PROPN
fumecheng-12969	285	14	structure	structure	NOUN
fumecheng-12969	285	15	,	,	PUNCT
fumecheng-12969	285	16	we	we	PRON
fumecheng-12969	285	17	can	can	AUX
fumecheng-12969	285	18	conclude	conclude	VERB
fumecheng-12969	285	19	that	that	SCONJ
fumecheng-12969	285	20	hts	hts	PROPN
fumecheng-12969	285	21	results	result	NOUN
fumecheng-12969	285	22	have	have	VERB
fumecheng-12969	285	23	strong	strong	ADJ
fumecheng-12969	285	24	agreement	agreement	NOUN
fumecheng-12969	285	25	for	for	ADP
fumecheng-12969	285	26	n	n	CCONJ
fumecheng-12969	285	27	/	/	SYM
fumecheng-12969	285	28	mems	mem	NOUN
fumecheng-12969	285	29	system	system	NOUN
fumecheng-12969	285	30	based	base	VERB
fumecheng-12969	285	31	on	on	ADP
fumecheng-12969	285	32	microstructure	microstructure	NOUN
fumecheng-12969	285	33	using	use	VERB
fumecheng-12969	285	34	vdw	vdw	NOUN
fumecheng-12969	285	35	forces	force	NOUN
fumecheng-12969	285	36	.	.	PUNCT
fumecheng-12969	286	1	in	in	ADP
fumecheng-12969	286	2	the	the	DET
fumecheng-12969	286	3	fundamental	fundamental	ADJ
fumecheng-12969	286	4	oscillation	oscillation	NOUN
fumecheng-12969	286	5	concept	concept	NOUN
fumecheng-12969	286	6	,	,	PUNCT
fumecheng-12969	286	7	the	the	DET
fumecheng-12969	286	8	fact	fact	NOUN
fumecheng-12969	286	9	is	be	AUX
fumecheng-12969	286	10	recognized	recognize	VERB
fumecheng-12969	286	11	that	that	SCONJ
fumecheng-12969	286	12	the	the	DET
fumecheng-12969	286	13	closed	closed	ADJ
fumecheng-12969	286	14	orbits	orbit	NOUN
fumecheng-12969	286	15	illustrated	illustrate	VERB
fumecheng-12969	286	16	in	in	ADP
fumecheng-12969	286	17	these	these	DET
fumecheng-12969	286	18	phase	phase	NOUN
fumecheng-12969	286	19	visuals	visual	NOUN
fumecheng-12969	286	20	refer	refer	VERB
fumecheng-12969	286	21	to	to	ADP
fumecheng-12969	286	22	oscillatory	oscillatory	ADJ
fumecheng-12969	286	23	behavior	behavior	NOUN
fumecheng-12969	286	24	.	.	PUNCT
fumecheng-12969	287	1	it	it	PRON
fumecheng-12969	287	2	is	be	AUX
fumecheng-12969	287	3	anticipated	anticipate	VERB
fumecheng-12969	287	4	that	that	SCONJ
fumecheng-12969	287	5	significant	significant	ADJ
fumecheng-12969	287	6	values	value	NOUN
fumecheng-12969	287	7	exist	exist	VERB
fumecheng-12969	287	8	within	within	ADP
fumecheng-12969	287	9	the	the	DET
fumecheng-12969	287	10	range	range	NOUN
fumecheng-12969	287	11	of	of	ADP
fumecheng-12969	287	12	parameters	parameter	NOUN
fumecheng-12969	287	13	that	that	PRON
fumecheng-12969	287	14	lead	lead	VERB
fumecheng-12969	287	15	to	to	ADP
fumecheng-12969	287	16	the	the	DET
fumecheng-12969	287	17	existence	existence	NOUN
fumecheng-12969	287	18	of	of	ADP
fumecheng-12969	287	19	pull	pull	NOUN
fumecheng-12969	287	20	-	-	PUNCT
fumecheng-12969	287	21	in	in	ADP
fumecheng-12969	287	22	solutions	solution	NOUN
fumecheng-12969	287	23	.	.	PUNCT
fumecheng-12969	288	1	7	7	X
fumecheng-12969	288	2	.	.	X
fumecheng-12969	288	3	conclusion	conclusion	NOUN
fumecheng-12969	288	4	this	this	DET
fumecheng-12969	288	5	study	study	NOUN
fumecheng-12969	288	6	examined	examine	VERB
fumecheng-12969	288	7	a	a	DET
fumecheng-12969	288	8	general	general	ADJ
fumecheng-12969	288	9	oscillation	oscillation	NOUN
fumecheng-12969	288	10	in	in	ADP
fumecheng-12969	288	11	a	a	DET
fumecheng-12969	288	12	highly	highly	ADV
fumecheng-12969	288	13	nonlinear	nonlinear	ADJ
fumecheng-12969	288	14	n	n	CCONJ
fumecheng-12969	288	15	/	/	SYM
fumecheng-12969	288	16	mems	mem	NOUN
fumecheng-12969	288	17	system	system	NOUN
fumecheng-12969	288	18	,	,	PUNCT
fumecheng-12969	288	19	which	which	PRON
fumecheng-12969	288	20	describes	describe	VERB
fumecheng-12969	288	21	the	the	DET
fumecheng-12969	288	22	motion	motion	NOUN
fumecheng-12969	288	23	of	of	ADP
fumecheng-12969	288	24	a	a	DET
fumecheng-12969	288	25	microbeam	microbeam	NOUN
fumecheng-12969	288	26	under	under	ADP
fumecheng-12969	288	27	the	the	DET
fumecheng-12969	288	28	influence	influence	NOUN
fumecheng-12969	288	29	of	of	ADP
fumecheng-12969	288	30	vdw	vdw	NOUN
fumecheng-12969	288	31	forces	force	NOUN
fumecheng-12969	288	32	.	.	PUNCT
fumecheng-12969	289	1	our	our	PRON
fumecheng-12969	289	2	proposed	propose	VERB
fumecheng-12969	289	3	method	method	NOUN
fumecheng-12969	289	4	rapidly	rapidly	ADV
fumecheng-12969	289	5	converges	converge	VERB
fumecheng-12969	289	6	to	to	ADP
fumecheng-12969	289	7	results	result	NOUN
fumecheng-12969	289	8	and	and	CCONJ
fumecheng-12969	289	9	demonstrates	demonstrate	VERB
fumecheng-12969	289	10	high	high	ADJ
fumecheng-12969	289	11	accuracy	accuracy	NOUN
fumecheng-12969	289	12	,	,	PUNCT
fumecheng-12969	289	13	even	even	ADV
fumecheng-12969	289	14	with	with	ADP
fumecheng-12969	289	15	the	the	DET
fumecheng-12969	289	16	firstorder	firstorder	NOUN
fumecheng-12969	289	17	approximation	approximation	NOUN
fumecheng-12969	289	18	step	step	NOUN
fumecheng-12969	289	19	.	.	PUNCT
fumecheng-12969	290	1	the	the	DET
fumecheng-12969	290	2	derived	derive	VERB
fumecheng-12969	290	3	results	result	NOUN
fumecheng-12969	290	4	confirm	confirm	VERB
fumecheng-12969	290	5	the	the	DET
fumecheng-12969	290	6	efficiency	efficiency	NOUN
fumecheng-12969	290	7	of	of	ADP
fumecheng-12969	290	8	the	the	DET
fumecheng-12969	290	9	suggested	suggest	VERB
fumecheng-12969	290	10	approach	approach	NOUN
fumecheng-12969	290	11	and	and	CCONJ
fumecheng-12969	290	12	provide	provide	VERB
fumecheng-12969	290	13	better	well	ADJ
fumecheng-12969	290	14	performance	performance	NOUN
fumecheng-12969	290	15	than	than	ADP
fumecheng-12969	290	16	other	other	ADJ
fumecheng-12969	290	17	techniques	technique	NOUN
fumecheng-12969	290	18	.	.	PUNCT
fumecheng-12969	291	1	micro	micro	NOUN
fumecheng-12969	291	2	-	-	NOUN
fumecheng-12969	291	3	sensors	sensor	NOUN
fumecheng-12969	291	4	used	use	VERB
fumecheng-12969	291	5	for	for	ADP
fumecheng-12969	291	6	monitoring	monitor	VERB
fumecheng-12969	291	7	and	and	CCONJ
fumecheng-12969	291	8	controlling	control	VERB
fumecheng-12969	291	9	vibrations	vibration	NOUN
fumecheng-12969	291	10	in	in	ADP
fumecheng-12969	291	11	machinery	machinery	NOUN
fumecheng-12969	291	12	are	be	AUX
fumecheng-12969	291	13	a	a	DET
fumecheng-12969	291	14	practical	practical	ADJ
fumecheng-12969	291	15	application	application	NOUN
fumecheng-12969	291	16	of	of	ADP
fumecheng-12969	291	17	mems	mem	NOUN
fumecheng-12969	291	18	in	in	ADP
fumecheng-12969	291	19	mechanical	mechanical	ADJ
fumecheng-12969	291	20	engineering	engineering	NOUN
fumecheng-12969	291	21	.	.	PUNCT
fumecheng-12969	292	1	this	this	DET
fumecheng-12969	292	2	research	research	NOUN
fumecheng-12969	292	3	contributes	contribute	VERB
fumecheng-12969	292	4	to	to	ADP
fumecheng-12969	292	5	our	our	PRON
fumecheng-12969	292	6	comprehension	comprehension	NOUN
fumecheng-12969	292	7	and	and	CCONJ
fumecheng-12969	292	8	improvement	improvement	NOUN
fumecheng-12969	292	9	of	of	ADP
fumecheng-12969	292	10	mems	mem	NOUN
fumecheng-12969	292	11	performance	performance	NOUN
fumecheng-12969	292	12	by	by	ADP
fumecheng-12969	292	13	examining	examine	VERB
fumecheng-12969	292	14	signal	signal	NOUN
fumecheng-12969	292	15	stability	stability	NOUN
fumecheng-12969	292	16	,	,	PUNCT
fumecheng-12969	292	17	energy	energy	NOUN
fumecheng-12969	292	18	efficiency	efficiency	NOUN
fumecheng-12969	292	19	,	,	PUNCT
fumecheng-12969	292	20	and	and	CCONJ
fumecheng-12969	292	21	resilience	resilience	NOUN
fumecheng-12969	292	22	in	in	ADP
fumecheng-12969	292	23	severe	severe	ADJ
fumecheng-12969	292	24	conditions	condition	NOUN
fumecheng-12969	292	25	,	,	PUNCT
fumecheng-12969	292	26	which	which	PRON
fumecheng-12969	292	27	are	be	AUX
fumecheng-12969	292	28	crucial	crucial	ADJ
fumecheng-12969	292	29	for	for	ADP
fumecheng-12969	292	30	dependable	dependable	ADJ
fumecheng-12969	292	31	,	,	PUNCT
fumecheng-12969	292	32	long	long	ADJ
fumecheng-12969	292	33	-	-	PUNCT
fumecheng-12969	292	34	term	term	NOUN
fumecheng-12969	292	35	functioning	function	VERB
fumecheng-12969	292	36	in	in	ADP
fumecheng-12969	292	37	mechanical	mechanical	ADJ
fumecheng-12969	292	38	domains	domain	NOUN
fumecheng-12969	292	39	.	.	PUNCT
fumecheng-12969	293	1	in	in	ADP
fumecheng-12969	293	2	the	the	DET
fumecheng-12969	293	3	future	future	ADJ
fumecheng-12969	293	4	research	research	NOUN
fumecheng-12969	293	5	,	,	PUNCT
fumecheng-12969	293	6	we	we	PRON
fumecheng-12969	293	7	intend	intend	VERB
fumecheng-12969	293	8	to	to	PART
fumecheng-12969	293	9	expand	expand	VERB
fumecheng-12969	293	10	this	this	DET
fumecheng-12969	293	11	scheme	scheme	NOUN
fumecheng-12969	293	12	to	to	PART
fumecheng-12969	293	13	address	address	VERB
fumecheng-12969	293	14	other	other	ADJ
fumecheng-12969	293	15	nonlinear	nonlinear	ADJ
fumecheng-12969	293	16	challenges	challenge	NOUN
fumecheng-12969	293	17	in	in	ADP
fumecheng-12969	293	18	n	n	CCONJ
fumecheng-12969	293	19	/	/	SYM
fumecheng-12969	293	20	mems	mem	NOUN
fumecheng-12969	293	21	systems	system	NOUN
fumecheng-12969	293	22	that	that	PRON
fumecheng-12969	293	23	incorporate	incorporate	VERB
fumecheng-12969	293	24	fractal	fractal	ADJ
fumecheng-12969	293	25	and	and	CCONJ
fumecheng-12969	293	26	fractional	fractional	ADJ
fumecheng-12969	293	27	derivatives	derivative	NOUN
fumecheng-12969	293	28	.	.	PUNCT
fumecheng-12969	294	1	acknowledgement	acknowledgement	NOUN
fumecheng-12969	294	2	:	:	PUNCT
fumecheng-12969	294	3	the	the	DET
fumecheng-12969	294	4	authors	author	NOUN
fumecheng-12969	294	5	extend	extend	VERB
fumecheng-12969	294	6	their	their	PRON
fumecheng-12969	294	7	appreciation	appreciation	NOUN
fumecheng-12969	294	8	to	to	ADP
fumecheng-12969	294	9	the	the	DET
fumecheng-12969	294	10	deanship	deanship	NOUN
fumecheng-12969	294	11	of	of	ADP
fumecheng-12969	294	12	research	research	NOUN
fumecheng-12969	294	13	and	and	CCONJ
fumecheng-12969	294	14	graduate	graduate	NOUN
fumecheng-12969	294	15	studies	study	NOUN
fumecheng-12969	294	16	at	at	ADP
fumecheng-12969	294	17	king	king	PROPN
fumecheng-12969	294	18	khalid	khalid	PROPN
fumecheng-12969	294	19	university	university	PROPN
fumecheng-12969	294	20	for	for	ADP
fumecheng-12969	294	21	funding	fund	VERB
fumecheng-12969	294	22	this	this	DET
fumecheng-12969	294	23	work	work	NOUN
fumecheng-12969	294	24	through	through	ADP
fumecheng-12969	294	25	large	large	ADJ
fumecheng-12969	294	26	research	research	NOUN
fumecheng-12969	294	27	project	project	NOUN
fumecheng-12969	294	28	under	under	ADP
fumecheng-12969	294	29	grant	grant	NOUN
fumecheng-12969	294	30	number	number	NOUN
fumecheng-12969	294	31	rgp2/297/45	rgp2/297/45	PROPN
fumecheng-12969	294	32	.	.	PUNCT
fumecheng-12969	295	1	references	reference	NOUN
fumecheng-12969	295	2	1	1	NUM
fumecheng-12969	295	3	.	.	PUNCT
fumecheng-12969	295	4	maroufi	maroufi	NOUN
fumecheng-12969	295	5	,	,	PUNCT
fumecheng-12969	295	6	m.	m.	NOUN
fumecheng-12969	295	7	,	,	PUNCT
fumecheng-12969	295	8	fowler	fowler	PROPN
fumecheng-12969	295	9	,	,	PUNCT
fumecheng-12969	295	10	a.g	a.g	PROPN
fumecheng-12969	295	11	.	.	PROPN
fumecheng-12969	295	12	,	,	PUNCT
fumecheng-12969	295	13	moheimani	moheimani	PROPN
fumecheng-12969	295	14	,	,	PUNCT
fumecheng-12969	295	15	s.r	s.r	PROPN
fumecheng-12969	295	16	.	.	PROPN
fumecheng-12969	295	17	,	,	PUNCT
fumecheng-12969	295	18	2017	2017	NUM
fumecheng-12969	295	19	,	,	PUNCT
fumecheng-12969	295	20	mems	mem	NOUN
fumecheng-12969	295	21	for	for	ADP
fumecheng-12969	295	22	nanopositioning	nanopositione	VERB
fumecheng-12969	295	23	:	:	PUNCT
fumecheng-12969	295	24	design	design	NOUN
fumecheng-12969	295	25	and	and	CCONJ
fumecheng-12969	295	26	applications	application	NOUN
fumecheng-12969	295	27	,	,	PUNCT
fumecheng-12969	295	28	journal	journal	NOUN
fumecheng-12969	295	29	of	of	ADP
fumecheng-12969	295	30	microelectromechanical	microelectromechanical	ADJ
fumecheng-12969	295	31	systems	system	NOUN
fumecheng-12969	295	32	,	,	PUNCT
fumecheng-12969	295	33	26(3	26(3	NUM
fumecheng-12969	295	34	)	)	PUNCT
fumecheng-12969	295	35	,	,	PUNCT
fumecheng-12969	295	36	pp	pp	ADP
fumecheng-12969	295	37	.	.	PUNCT
fumecheng-12969	296	1	469	469	NUM
fumecheng-12969	296	2	-	-	SYM
fumecheng-12969	296	3	500	500	NUM
fumecheng-12969	296	4	.	.	PUNCT
fumecheng-12969	297	1	2	2	X
fumecheng-12969	297	2	.	.	X
fumecheng-12969	297	3	faudzi	faudzi	NOUN
fumecheng-12969	297	4	,	,	PUNCT
fumecheng-12969	297	5	a.a.m	a.a.m	PROPN
fumecheng-12969	297	6	.	.	PROPN
fumecheng-12969	297	7	,	,	PUNCT
fumecheng-12969	297	8	sabzehmeidani	sabzehmeidani	PROPN
fumecheng-12969	297	9	,	,	PUNCT
fumecheng-12969	297	10	y.	y.	PROPN
fumecheng-12969	297	11	,	,	PUNCT
fumecheng-12969	297	12	suzumori	suzumori	PROPN
fumecheng-12969	297	13	,	,	PUNCT
fumecheng-12969	297	14	k.	k.	PROPN
fumecheng-12969	297	15	,	,	PUNCT
fumecheng-12969	297	16	2020	2020	NUM
fumecheng-12969	297	17	,	,	PUNCT
fumecheng-12969	297	18	application	application	NOUN
fumecheng-12969	297	19	of	of	ADP
fumecheng-12969	297	20	micro	micro	ADJ
fumecheng-12969	297	21	-	-	ADJ
fumecheng-12969	297	22	electro	electro	ADJ
fumecheng-12969	297	23	-	-	PUNCT
fumecheng-12969	297	24	mechanical	mechanical	ADJ
fumecheng-12969	297	25	systems	system	NOUN
fumecheng-12969	297	26	(	(	PUNCT
fumecheng-12969	297	27	mems	mem	NOUN
fumecheng-12969	297	28	)	)	PUNCT
fumecheng-12969	297	29	as	as	ADP
fumecheng-12969	297	30	sensors	sensor	NOUN
fumecheng-12969	297	31	:	:	PUNCT
fumecheng-12969	297	32	a	a	DET
fumecheng-12969	297	33	review	review	NOUN
fumecheng-12969	297	34	,	,	PUNCT
fumecheng-12969	297	35	journal	journal	NOUN
fumecheng-12969	297	36	of	of	ADP
fumecheng-12969	297	37	robotics	robotic	NOUN
fumecheng-12969	297	38	and	and	CCONJ
fumecheng-12969	297	39	mechatronics	mechatronic	NOUN
fumecheng-12969	297	40	,	,	PUNCT
fumecheng-12969	297	41	32(2	32(2	NUM
fumecheng-12969	297	42	)	)	PUNCT
fumecheng-12969	297	43	,	,	PUNCT
fumecheng-12969	297	44	pp	pp	PROPN
fumecheng-12969	297	45	.	.	PUNCT
fumecheng-12969	298	1	281	281	NUM
fumecheng-12969	298	2	-	-	SYM
fumecheng-12969	298	3	288	288	NUM
fumecheng-12969	298	4	.	.	PUNCT
fumecheng-12969	299	1	3	3	X
fumecheng-12969	299	2	.	.	X
fumecheng-12969	299	3	noormohammadi	noormohammadi	NOUN
fumecheng-12969	299	4	,	,	PUNCT
fumecheng-12969	299	5	n.	n.	NOUN
fumecheng-12969	299	6	,	,	PUNCT
fumecheng-12969	299	7	asadi	asadi	NOUN
fumecheng-12969	299	8	,	,	PUNCT
fumecheng-12969	299	9	a.m.	a.m.	ADV
fumecheng-12969	299	10	,	,	PUNCT
fumecheng-12969	299	11	mohammadi	mohammadi	PROPN
fumecheng-12969	299	12	d.p	d.p	PROPN
fumecheng-12969	299	13	.	.	PROPN
fumecheng-12969	299	14	,	,	PUNCT
fumecheng-12969	299	15	boroomand	boroomand	ADV
fumecheng-12969	299	16	,	,	PUNCT
fumecheng-12969	299	17	b.	b.	PROPN
fumecheng-12969	299	18	,	,	PUNCT
fumecheng-12969	299	19	2023	2023	NUM
fumecheng-12969	299	20	,	,	PUNCT
fumecheng-12969	299	21	buckling	buckle	VERB
fumecheng-12969	299	22	and	and	CCONJ
fumecheng-12969	299	23	free	free	ADJ
fumecheng-12969	299	24	vibration	vibration	NOUN
fumecheng-12969	299	25	analysis	analysis	NOUN
fumecheng-12969	299	26	of	of	ADP
fumecheng-12969	299	27	in	in	ADP
fumecheng-12969	299	28	-	-	PUNCT
fumecheng-12969	299	29	plane	plane	NOUN
fumecheng-12969	299	30	heterogeneous	heterogeneous	ADJ
fumecheng-12969	299	31	nanoplates	nanoplate	NOUN
fumecheng-12969	299	32	using	use	VERB
fumecheng-12969	299	33	a	a	DET
fumecheng-12969	299	34	simple	simple	ADJ
fumecheng-12969	299	35	boundary	boundary	ADJ
fumecheng-12969	299	36	method	method	NOUN
fumecheng-12969	299	37	,	,	PUNCT
fumecheng-12969	299	38	journal	journal	NOUN
fumecheng-12969	299	39	of	of	ADP
fumecheng-12969	299	40	the	the	DET
fumecheng-12969	299	41	brazilian	brazilian	ADJ
fumecheng-12969	299	42	society	society	NOUN
fumecheng-12969	299	43	of	of	ADP
fumecheng-12969	299	44	mechanical	mechanical	ADJ
fumecheng-12969	299	45	sciences	science	NOUN
fumecheng-12969	299	46	and	and	CCONJ
fumecheng-12969	299	47	engineering	engineering	NOUN
fumecheng-12969	299	48	,	,	PUNCT
fumecheng-12969	299	49	45(5	45(5	PROPN
fumecheng-12969	299	50	)	)	PUNCT
fumecheng-12969	299	51	,	,	PUNCT
fumecheng-12969	299	52	267	267	NUM
fumecheng-12969	299	53	.	.	NOUN
fumecheng-12969	300	1	4	4	X
fumecheng-12969	300	2	.	.	X
fumecheng-12969	300	3	faghidian	faghidian	ADJ
fumecheng-12969	300	4	,	,	PUNCT
fumecheng-12969	300	5	s.a	s.a	PROPN
fumecheng-12969	300	6	.	.	PROPN
fumecheng-12969	300	7	,	,	PUNCT
fumecheng-12969	300	8	tounsi	tounsi	NOUN
fumecheng-12969	300	9	,	,	PUNCT
fumecheng-12969	300	10	a.	a.	NOUN
fumecheng-12969	300	11	,	,	PUNCT
fumecheng-12969	300	12	2022	2022	NUM
fumecheng-12969	300	13	,	,	PUNCT
fumecheng-12969	300	14	dynamic	dynamic	ADJ
fumecheng-12969	300	15	characteristics	characteristic	NOUN
fumecheng-12969	300	16	of	of	ADP
fumecheng-12969	300	17	mixture	mixture	NOUN
fumecheng-12969	300	18	unified	unify	VERB
fumecheng-12969	300	19	gradient	gradient	ADJ
fumecheng-12969	300	20	elastic	elastic	ADJ
fumecheng-12969	300	21	nanobeams	nanobeam	NOUN
fumecheng-12969	300	22	,	,	PUNCT
fumecheng-12969	300	23	facta	facta	PROPN
fumecheng-12969	300	24	universitatis	universitatis	PROPN
fumecheng-12969	300	25	-	-	PUNCT
fumecheng-12969	300	26	series	series	NOUN
fumecheng-12969	300	27	mechanical	mechanical	ADJ
fumecheng-12969	300	28	engineering	engineering	NOUN
fumecheng-12969	300	29	,	,	PUNCT
fumecheng-12969	300	30	20(3	20(3	NOUN
fumecheng-12969	300	31	)	)	PUNCT
fumecheng-12969	300	32	,	,	PUNCT
fumecheng-12969	300	33	pp	pp	ADJ
fumecheng-12969	300	34	.	.	PUNCT
fumecheng-12969	301	1	539	539	NUM
fumecheng-12969	301	2	-	-	SYM
fumecheng-12969	301	3	552	552	NUM
fumecheng-12969	301	4	.	.	NOUN
fumecheng-12969	302	1	5	5	NUM
fumecheng-12969	302	2	.	.	X
fumecheng-12969	302	3	zhang	zhang	PROPN
fumecheng-12969	302	4	,	,	PUNCT
fumecheng-12969	302	5	y.	y.	PROPN
fumecheng-12969	302	6	,	,	PUNCT
fumecheng-12969	302	7	tian	tian	PROPN
fumecheng-12969	302	8	,	,	PUNCT
fumecheng-12969	302	9	d.	d.	PROPN
fumecheng-12969	302	10	,	,	PUNCT
fumecheng-12969	302	11	pang	pang	NOUN
fumecheng-12969	302	12	,	,	PUNCT
fumecheng-12969	302	13	j.	j.	PROPN
fumecheng-12969	302	14	,	,	PUNCT
fumecheng-12969	302	15	2022	2022	NUM
fumecheng-12969	302	16	,	,	PUNCT
fumecheng-12969	302	17	a	a	DET
fumecheng-12969	302	18	fast	fast	ADJ
fumecheng-12969	302	19	estimation	estimation	NOUN
fumecheng-12969	302	20	of	of	ADP
fumecheng-12969	302	21	the	the	DET
fumecheng-12969	302	22	frequency	frequency	NOUN
fumecheng-12969	302	23	property	property	NOUN
fumecheng-12969	302	24	of	of	ADP
fumecheng-12969	302	25	the	the	DET
fumecheng-12969	302	26	microelectromechanical	microelectromechanical	ADJ
fumecheng-12969	302	27	system	system	NOUN
fumecheng-12969	302	28	oscillator	oscillator	NOUN
fumecheng-12969	302	29	,	,	PUNCT
fumecheng-12969	302	30	journal	journal	NOUN
fumecheng-12969	302	31	of	of	ADP
fumecheng-12969	302	32	low	low	ADJ
fumecheng-12969	302	33	frequency	frequency	NOUN
fumecheng-12969	302	34	noise	noise	NOUN
fumecheng-12969	302	35	,	,	PUNCT
fumecheng-12969	302	36	vibration	vibration	NOUN
fumecheng-12969	302	37	and	and	CCONJ
fumecheng-12969	302	38	active	active	ADJ
fumecheng-12969	302	39	control	control	NOUN
fumecheng-12969	302	40	,	,	PUNCT
fumecheng-12969	302	41	41(1	41(1	NUM
fumecheng-12969	302	42	)	)	PUNCT
fumecheng-12969	302	43	,	,	PUNCT
fumecheng-12969	302	44	pp	pp	ADP
fumecheng-12969	302	45	.	.	PUNCT
fumecheng-12969	303	1	160	160	NUM
fumecheng-12969	303	2	-	-	SYM
fumecheng-12969	303	3	166	166	NUM
fumecheng-12969	303	4	.	.	PUNCT
fumecheng-12969	304	1	6	6	NUM
fumecheng-12969	304	2	.	.	X
fumecheng-12969	305	1	he	he	PRON
fumecheng-12969	305	2	,	,	PUNCT
fumecheng-12969	305	3	c.h	c.h	PROPN
fumecheng-12969	305	4	.	.	PROPN
fumecheng-12969	305	5	,	,	PUNCT
fumecheng-12969	305	6	2022	2022	NUM
fumecheng-12969	305	7	,	,	PUNCT
fumecheng-12969	305	8	a	a	DET
fumecheng-12969	305	9	variational	variational	ADJ
fumecheng-12969	305	10	principle	principle	NOUN
fumecheng-12969	305	11	for	for	ADP
fumecheng-12969	305	12	a	a	DET
fumecheng-12969	305	13	fractal	fractal	ADJ
fumecheng-12969	305	14	nano	nano	NOUN
fumecheng-12969	305	15	/	/	SYM
fumecheng-12969	305	16	microelectromechanical	microelectromechanical	ADJ
fumecheng-12969	305	17	(	(	PUNCT
fumecheng-12969	305	18	n	n	CCONJ
fumecheng-12969	305	19	/	/	SYM
fumecheng-12969	305	20	mems	mem	NOUN
fumecheng-12969	305	21	)	)	PUNCT
fumecheng-12969	305	22	system	system	NOUN
fumecheng-12969	305	23	,	,	PUNCT
fumecheng-12969	305	24	international	international	ADJ
fumecheng-12969	305	25	journal	journal	NOUN
fumecheng-12969	305	26	of	of	ADP
fumecheng-12969	305	27	numerical	numerical	ADJ
fumecheng-12969	305	28	methods	method	NOUN
fumecheng-12969	305	29	for	for	ADP
fumecheng-12969	305	30	heat	heat	NOUN
fumecheng-12969	305	31	&	&	CCONJ
fumecheng-12969	305	32	fluid	fluid	ADJ
fumecheng-12969	305	33	flow	flow	NOUN
fumecheng-12969	305	34	,	,	PUNCT
fumecheng-12969	305	35	33(1	33(1	NUM
fumecheng-12969	305	36	)	)	PUNCT
fumecheng-12969	305	37	,	,	PUNCT
fumecheng-12969	305	38	pp	pp	PROPN
fumecheng-12969	305	39	.	.	PUNCT
fumecheng-12969	305	40	351	351	NUM
fumecheng-12969	305	41	-	-	SYM
fumecheng-12969	305	42	359	359	NUM
fumecheng-12969	305	43	.	.	PUNCT
fumecheng-12969	306	1	7	7	X
fumecheng-12969	306	2	.	.	X
fumecheng-12969	306	3	phi	phi	NOUN
fumecheng-12969	306	4	,	,	PUNCT
fumecheng-12969	306	5	b.g	b.g	PROPN
fumecheng-12969	306	6	.	.	PROPN
fumecheng-12969	306	7	,	,	PUNCT
fumecheng-12969	306	8	hieu	hieu	PROPN
fumecheng-12969	306	9	,	,	PUNCT
fumecheng-12969	306	10	d.v	d.v	PROPN
fumecheng-12969	306	11	.	.	PROPN
fumecheng-12969	306	12	,	,	PUNCT
fumecheng-12969	306	13	sedighi	sedighi	PROPN
fumecheng-12969	306	14	,	,	PUNCT
fumecheng-12969	306	15	h.m	h.m	PROPN
fumecheng-12969	306	16	.	.	PROPN
fumecheng-12969	306	17	,	,	PUNCT
fumecheng-12969	306	18	sofiyev	sofiyev	X
fumecheng-12969	306	19	a.h	a.h	PROPN
fumecheng-12969	306	20	.	.	PROPN
fumecheng-12969	306	21	,	,	PUNCT
fumecheng-12969	306	22	2022	2022	NUM
fumecheng-12969	306	23	,	,	PUNCT
fumecheng-12969	306	24	size	size	NOUN
fumecheng-12969	306	25	-	-	PUNCT
fumecheng-12969	306	26	dependent	dependent	ADJ
fumecheng-12969	306	27	nonlinear	nonlinear	ADJ
fumecheng-12969	306	28	vibration	vibration	NOUN
fumecheng-12969	306	29	of	of	ADP
fumecheng-12969	306	30	functionally	functionally	ADV
fumecheng-12969	306	31	graded	grade	VERB
fumecheng-12969	306	32	composite	composite	ADJ
fumecheng-12969	306	33	micro	micro	NOUN
fumecheng-12969	306	34	-	-	NOUN
fumecheng-12969	306	35	beams	beam	NOUN
fumecheng-12969	306	36	reinforced	reinforce	VERB
fumecheng-12969	306	37	by	by	ADP
fumecheng-12969	306	38	carbon	carbon	NOUN
fumecheng-12969	306	39	nanotubes	nanotube	NOUN
fumecheng-12969	306	40	with	with	ADP
fumecheng-12969	306	41	piezoelectric	piezoelectric	ADJ
fumecheng-12969	306	42	layers	layer	NOUN
fumecheng-12969	306	43	in	in	ADP
fumecheng-12969	306	44	thermal	thermal	ADJ
fumecheng-12969	306	45	environments	environment	NOUN
fumecheng-12969	306	46	,	,	PUNCT
fumecheng-12969	306	47	acta	acta	PROPN
fumecheng-12969	306	48	mechanica	mechanica	PROPN
fumecheng-12969	306	49	,	,	PUNCT
fumecheng-12969	306	50	233(6	233(6	NUM
fumecheng-12969	306	51	)	)	PUNCT
fumecheng-12969	306	52	,	,	PUNCT
fumecheng-12969	306	53	pp	pp	ADP
fumecheng-12969	306	54	.	.	PUNCT
fumecheng-12969	307	1	2249	2249	NUM
fumecheng-12969	307	2	-	-	SYM
fumecheng-12969	307	3	2270	2270	NUM
fumecheng-12969	307	4	.	.	PUNCT
fumecheng-12969	308	1	8	8	X
fumecheng-12969	308	2	.	.	X
fumecheng-12969	309	1	aliasghary	aliasghary	ADJ
fumecheng-12969	309	2	,	,	PUNCT
fumecheng-12969	309	3	m.	m.	NOUN
fumecheng-12969	309	4	,	,	PUNCT
fumecheng-12969	309	5	mobki	mobki	PROPN
fumecheng-12969	309	6	,	,	PUNCT
fumecheng-12969	309	7	h.	h.	PROPN
fumecheng-12969	309	8	,	,	PUNCT
fumecheng-12969	309	9	ouakad	ouakad	VERB
fumecheng-12969	309	10	,	,	PUNCT
fumecheng-12969	309	11	h.m	h.m	PROPN
fumecheng-12969	309	12	.	.	PROPN
fumecheng-12969	309	13	,	,	PUNCT
fumecheng-12969	309	14	2022	2022	NUM
fumecheng-12969	309	15	,	,	PUNCT
fumecheng-12969	309	16	pull	pull	NOUN
fumecheng-12969	309	17	-	-	PUNCT
fumecheng-12969	309	18	in	in	ADP
fumecheng-12969	309	19	phenomenon	phenomenon	NOUN
fumecheng-12969	309	20	in	in	ADP
fumecheng-12969	309	21	the	the	DET
fumecheng-12969	309	22	electrostatically	electrostatically	ADV
fumecheng-12969	309	23	micro	micro	NOUN
fumecheng-12969	309	24	-	-	NOUN
fumecheng-12969	309	25	switch	switch	NOUN
fumecheng-12969	309	26	suspended	suspend	VERB
fumecheng-12969	309	27	between	between	ADP
fumecheng-12969	309	28	two	two	NUM
fumecheng-12969	309	29	conductive	conductive	ADJ
fumecheng-12969	309	30	plates	plate	NOUN
fumecheng-12969	309	31	using	use	VERB
fumecheng-12969	309	32	the	the	DET
fumecheng-12969	309	33	artificial	artificial	ADJ
fumecheng-12969	309	34	neural	neural	ADJ
fumecheng-12969	309	35	network	network	NOUN
fumecheng-12969	309	36	,	,	PUNCT
fumecheng-12969	309	37	journal	journal	NOUN
fumecheng-12969	309	38	of	of	ADP
fumecheng-12969	309	39	applied	applied	ADJ
fumecheng-12969	309	40	and	and	CCONJ
fumecheng-12969	309	41	computational	computational	ADJ
fumecheng-12969	309	42	mechanics	mechanic	NOUN
fumecheng-12969	309	43	,	,	PUNCT
fumecheng-12969	309	44	8(4	8(4	NUM
fumecheng-12969	309	45	)	)	PUNCT
fumecheng-12969	309	46	,	,	PUNCT
fumecheng-12969	310	1	pp	pp	ADP
fumecheng-12969	310	2	.	.	PUNCT
fumecheng-12969	311	1	1222	1222	NUM
fumecheng-12969	311	2	-	-	SYM
fumecheng-12969	311	3	1235	1235	NUM
fumecheng-12969	311	4	.	.	PUNCT
fumecheng-12969	312	1	9	9	X
fumecheng-12969	312	2	.	.	X
fumecheng-12969	312	3	shamsmohammadi	shamsmohammadi	NOUN
fumecheng-12969	312	4	,	,	PUNCT
fumecheng-12969	312	5	n.	n.	NOUN
fumecheng-12969	312	6	,	,	PUNCT
fumecheng-12969	312	7	samadi	samadi	NOUN
fumecheng-12969	312	8	,	,	PUNCT
fumecheng-12969	312	9	h.	h.	NOUN
fumecheng-12969	312	10	,	,	PUNCT
fumecheng-12969	312	11	rahimzadeh	rahimzadeh	ADJ
fumecheng-12969	312	12	,	,	PUNCT
fumecheng-12969	312	13	m.	m.	NOUN
fumecheng-12969	312	14	,	,	PUNCT
fumecheng-12969	312	15	asadi	asadi	PROPN
fumecheng-12969	312	16	,	,	PUNCT
fumecheng-12969	312	17	z.	z.	PROPN
fumecheng-12969	312	18	,	,	PUNCT
fumecheng-12969	312	19	ganji	ganji	PROPN
fumecheng-12969	312	20	,	,	PUNCT
fumecheng-12969	312	21	d.d	d.d	PROPN
fumecheng-12969	312	22	.	.	PROPN
fumecheng-12969	312	23	,	,	PUNCT
fumecheng-12969	312	24	2023	2023	NUM
fumecheng-12969	312	25	,	,	PUNCT
fumecheng-12969	312	26	nano	nano	NOUN
fumecheng-12969	312	27	/	/	SYM
fumecheng-12969	312	28	micro	micro	ADJ
fumecheng-12969	312	29	-	-	ADJ
fumecheng-12969	312	30	beam	beam	ADJ
fumecheng-12969	312	31	deflections	deflection	NOUN
fumecheng-12969	312	32	:	:	PUNCT
fumecheng-12969	312	33	investigation	investigation	NOUN
fumecheng-12969	312	34	of	of	ADP
fumecheng-12969	312	35	subjected	subject	VERB
fumecheng-12969	312	36	forces	force	NOUN
fumecheng-12969	312	37	and	and	CCONJ
fumecheng-12969	312	38	applications	application	NOUN
fumecheng-12969	312	39	,	,	PUNCT
fumecheng-12969	312	40	physics	physics	NOUN
fumecheng-12969	312	41	open	open	ADJ
fumecheng-12969	312	42	,	,	PUNCT
fumecheng-12969	312	43	17	17	NUM
fumecheng-12969	312	44	,	,	PUNCT
fumecheng-12969	312	45	100191	100191	NUM
fumecheng-12969	312	46	.	.	PUNCT
fumecheng-12969	313	1	10	10	NUM
fumecheng-12969	313	2	.	.	X
fumecheng-12969	314	1	tian	tian	PROPN
fumecheng-12969	314	2	,	,	PUNCT
fumecheng-12969	314	3	d.	d.	PROPN
fumecheng-12969	314	4	,	,	PUNCT
fumecheng-12969	314	5	he	he	PRON
fumecheng-12969	314	6	,	,	PUNCT
fumecheng-12969	314	7	c.h	c.h	PROPN
fumecheng-12969	314	8	.	.	PROPN
fumecheng-12969	314	9	,	,	PUNCT
fumecheng-12969	314	10	2021	2021	NUM
fumecheng-12969	314	11	,	,	PUNCT
fumecheng-12969	314	12	a	a	DET
fumecheng-12969	314	13	fractal	fractal	ADJ
fumecheng-12969	314	14	micro	micro	ADJ
fumecheng-12969	314	15	-	-	ADJ
fumecheng-12969	314	16	electromechanical	electromechanical	ADJ
fumecheng-12969	314	17	system	system	NOUN
fumecheng-12969	314	18	and	and	CCONJ
fumecheng-12969	314	19	its	its	PRON
fumecheng-12969	314	20	pull	pull	NOUN
fumecheng-12969	314	21	-	-	PUNCT
fumecheng-12969	314	22	in	in	ADP
fumecheng-12969	314	23	stability	stability	NOUN
fumecheng-12969	314	24	,	,	PUNCT
fumecheng-12969	314	25	journal	journal	NOUN
fumecheng-12969	314	26	of	of	ADP
fumecheng-12969	314	27	low	low	ADJ
fumecheng-12969	314	28	frequency	frequency	NOUN
fumecheng-12969	314	29	noise	noise	NOUN
fumecheng-12969	314	30	,	,	PUNCT
fumecheng-12969	314	31	vibration	vibration	NOUN
fumecheng-12969	314	32	and	and	CCONJ
fumecheng-12969	314	33	active	active	ADJ
fumecheng-12969	314	34	control	control	NOUN
fumecheng-12969	314	35	,	,	PUNCT
fumecheng-12969	314	36	40(3	40(3	NUM
fumecheng-12969	314	37	)	)	PUNCT
fumecheng-12969	314	38	,	,	PUNCT
fumecheng-12969	314	39	pp	pp	ADP
fumecheng-12969	314	40	.	.	PUNCT
fumecheng-12969	315	1	1380	1380	NUM
fumecheng-12969	315	2	-	-	SYM
fumecheng-12969	315	3	1386	1386	NUM
fumecheng-12969	315	4	.	.	PUNCT
fumecheng-12969	316	1	analysis	analysis	NOUN
fumecheng-12969	316	2	of	of	ADP
fumecheng-12969	316	3	nanobeam	nanobeam	NOUN
fumecheng-12969	316	4	-	-	PUNCT
fumecheng-12969	316	5	based	base	VERB
fumecheng-12969	316	6	microstructure	microstructure	NOUN
fumecheng-12969	316	7	in	in	ADP
fumecheng-12969	316	8	n	n	CCONJ
fumecheng-12969	316	9	/	/	SYM
fumecheng-12969	316	10	mems	mem	NOUN
fumecheng-12969	316	11	system	system	NOUN
fumecheng-12969	316	12	using	use	VERB
fumecheng-12969	316	13	van	van	PROPN
fumecheng-12969	316	14	der	der	ADJ
fumecheng-12969	316	15	waals	waal	NOUN
fumecheng-12969	316	16	forces	force	VERB
fumecheng-12969	316	17	687	687	NUM
fumecheng-12969	316	18	11	11	NUM
fumecheng-12969	316	19	.	.	PUNCT
fumecheng-12969	317	1	cho	cho	PROPN
fumecheng-12969	317	2	,	,	PUNCT
fumecheng-12969	317	3	j.h	j.h	PROPN
fumecheng-12969	317	4	.	.	PROPN
fumecheng-12969	317	5	,	,	PUNCT
fumecheng-12969	317	6	cayll	cayll	PROPN
fumecheng-12969	317	7	,	,	PUNCT
fumecheng-12969	317	8	d.	d.	PROPN
fumecheng-12969	317	9	,	,	PUNCT
fumecheng-12969	317	10	behera	behera	PROPN
fumecheng-12969	317	11	,	,	PUNCT
fumecheng-12969	317	12	d.	d.	PROPN
fumecheng-12969	317	13	,	,	PUNCT
fumecheng-12969	317	14	cullinan	cullinan	PROPN
fumecheng-12969	317	15	,	,	PUNCT
fumecheng-12969	317	16	m.	m.	NOUN
fumecheng-12969	317	17	,	,	PUNCT
fumecheng-12969	317	18	2021	2021	NUM
fumecheng-12969	317	19	,	,	PUNCT
fumecheng-12969	317	20	towards	towards	ADP
fumecheng-12969	317	21	repeatable	repeatable	ADJ
fumecheng-12969	317	22	,	,	PUNCT
fumecheng-12969	317	23	scalable	scalable	ADJ
fumecheng-12969	317	24	graphene	graphene	NOUN
fumecheng-12969	317	25	integrated	integrate	VERB
fumecheng-12969	317	26	micronano	micronano	VERB
fumecheng-12969	317	27	electromechanical	electromechanical	ADJ
fumecheng-12969	317	28	systems	system	NOUN
fumecheng-12969	317	29	(	(	PUNCT
fumecheng-12969	317	30	mems	mem	NOUN
fumecheng-12969	317	31	/	/	SYM
fumecheng-12969	317	32	nems	nem	NOUN
fumecheng-12969	317	33	)	)	PUNCT
fumecheng-12969	317	34	,	,	PUNCT
fumecheng-12969	317	35	micromachines	micromachine	NOUN
fumecheng-12969	317	36	,	,	PUNCT
fumecheng-12969	317	37	13(1	13(1	NUM
fumecheng-12969	317	38	)	)	PUNCT
fumecheng-12969	317	39	,	,	PUNCT
fumecheng-12969	317	40	27	27	NUM
fumecheng-12969	317	41	.	.	PUNCT
fumecheng-12969	317	42	12	12	NUM
fumecheng-12969	317	43	.	.	PUNCT
fumecheng-12969	318	1	he	he	PRON
fumecheng-12969	318	2	,	,	PUNCT
fumecheng-12969	318	3	j.h	j.h	PROPN
fumecheng-12969	318	4	.	.	PROPN
fumecheng-12969	318	5	,	,	PUNCT
fumecheng-12969	318	6	he	he	PRON
fumecheng-12969	318	7	,	,	PUNCT
fumecheng-12969	318	8	c.h	c.h	PROPN
fumecheng-12969	318	9	.	.	PROPN
fumecheng-12969	318	10	,	,	PUNCT
fumecheng-12969	318	11	qian	qian	PROPN
fumecheng-12969	318	12	,	,	PUNCT
fumecheng-12969	318	13	m.y	m.y	PROPN
fumecheng-12969	318	14	.	.	PROPN
fumecheng-12969	318	15	,	,	PUNCT
fumecheng-12969	318	16	alsolami	alsolami	PROPN
fumecheng-12969	318	17	,	,	PUNCT
fumecheng-12969	318	18	a.a	a.a	PROPN
fumecheng-12969	318	19	.	.	PROPN
fumecheng-12969	318	20	,	,	PUNCT
fumecheng-12969	318	21	2024	2024	NUM
fumecheng-12969	318	22	,	,	PUNCT
fumecheng-12969	318	23	piezoelectric	piezoelectric	ADJ
fumecheng-12969	318	24	biosensor	biosensor	NOUN
fumecheng-12969	318	25	based	base	VERB
fumecheng-12969	318	26	on	on	ADP
fumecheng-12969	318	27	ultrasensitive	ultrasensitive	ADJ
fumecheng-12969	318	28	mems	mem	NOUN
fumecheng-12969	318	29	system	system	NOUN
fumecheng-12969	318	30	,	,	PUNCT
fumecheng-12969	318	31	sensors	sensor	NOUN
fumecheng-12969	318	32	and	and	CCONJ
fumecheng-12969	318	33	actuators	actuator	NOUN
fumecheng-12969	318	34	a	a	PRON
fumecheng-12969	318	35	:	:	PUNCT
fumecheng-12969	318	36	physical	physical	ADJ
fumecheng-12969	318	37	,	,	PUNCT
fumecheng-12969	318	38	376	376	NUM
fumecheng-12969	318	39	,	,	PUNCT
fumecheng-12969	318	40	115664	115664	NUM
fumecheng-12969	318	41	.	.	PUNCT
fumecheng-12969	319	1	13	13	NUM
fumecheng-12969	319	2	.	.	PUNCT
fumecheng-12969	319	3	padha	padha	PROPN
fumecheng-12969	319	4	,	,	PUNCT
fumecheng-12969	319	5	b.	b.	PROPN
fumecheng-12969	319	6	,	,	PUNCT
fumecheng-12969	319	7	yadav	yadav	PROPN
fumecheng-12969	319	8	,	,	PUNCT
fumecheng-12969	319	9	i.	i.	PROPN
fumecheng-12969	319	10	,	,	PUNCT
fumecheng-12969	319	11	dutta	dutta	PROPN
fumecheng-12969	319	12	,	,	PUNCT
fumecheng-12969	319	13	s.	s.	PROPN
fumecheng-12969	319	14	,	,	PUNCT
fumecheng-12969	319	15	arya	arya	PROPN
fumecheng-12969	319	16	,	,	PUNCT
fumecheng-12969	319	17	s.	s.	PROPN
fumecheng-12969	319	18	,	,	PUNCT
fumecheng-12969	319	19	2023	2023	NUM
fumecheng-12969	319	20	,	,	PUNCT
fumecheng-12969	319	21	recent	recent	ADJ
fumecheng-12969	319	22	developments	development	NOUN
fumecheng-12969	319	23	in	in	ADP
fumecheng-12969	319	24	wearable	wearable	ADJ
fumecheng-12969	319	25	nems	nem	NOUN
fumecheng-12969	319	26	/	/	SYM
fumecheng-12969	319	27	mems	mem	NOUN
fumecheng-12969	319	28	-	-	PUNCT
fumecheng-12969	319	29	based	base	VERB
fumecheng-12969	319	30	smart	smart	ADJ
fumecheng-12969	319	31	infrared	infrared	ADJ
fumecheng-12969	319	32	sensors	sensor	NOUN
fumecheng-12969	319	33	for	for	ADP
fumecheng-12969	319	34	healthcare	healthcare	NOUN
fumecheng-12969	319	35	applications	application	NOUN
fumecheng-12969	319	36	,	,	PUNCT
fumecheng-12969	319	37	acs	acs	PROPN
fumecheng-12969	319	38	applied	apply	VERB
fumecheng-12969	319	39	electronic	electronic	ADJ
fumecheng-12969	319	40	materials	material	NOUN
fumecheng-12969	319	41	,	,	PUNCT
fumecheng-12969	319	42	5(10	5(10	NUM
fumecheng-12969	319	43	)	)	PUNCT
fumecheng-12969	319	44	,	,	PUNCT
fumecheng-12969	319	45	pp	pp	ADP
fumecheng-12969	319	46	.	.	PUNCT
fumecheng-12969	320	1	5386	5386	NUM
fumecheng-12969	320	2	-	-	SYM
fumecheng-12969	320	3	5411	5411	NUM
fumecheng-12969	320	4	.	.	PUNCT
fumecheng-12969	321	1	14	14	NUM
fumecheng-12969	321	2	.	.	PUNCT
fumecheng-12969	322	1	he	he	PRON
fumecheng-12969	322	2	,	,	PUNCT
fumecheng-12969	322	3	j.h	j.h	PROPN
fumecheng-12969	322	4	.	.	PROPN
fumecheng-12969	322	5	,	,	PUNCT
fumecheng-12969	322	6	1999	1999	NUM
fumecheng-12969	322	7	,	,	PUNCT
fumecheng-12969	322	8	variational	variational	ADJ
fumecheng-12969	322	9	iteration	iteration	NOUN
fumecheng-12969	322	10	method	method	NOUN
fumecheng-12969	322	11	-	-	PUNCT
fumecheng-12969	322	12	a	a	DET
fumecheng-12969	322	13	kind	kind	NOUN
fumecheng-12969	322	14	of	of	ADP
fumecheng-12969	322	15	non	non	ADJ
fumecheng-12969	322	16	-	-	ADJ
fumecheng-12969	322	17	linear	linear	ADJ
fumecheng-12969	322	18	analytical	analytical	ADJ
fumecheng-12969	322	19	technique	technique	NOUN
fumecheng-12969	322	20	:	:	PUNCT
fumecheng-12969	322	21	some	some	DET
fumecheng-12969	322	22	examples	example	NOUN
fumecheng-12969	322	23	,	,	PUNCT
fumecheng-12969	322	24	international	international	ADJ
fumecheng-12969	322	25	journal	journal	NOUN
fumecheng-12969	322	26	of	of	ADP
fumecheng-12969	322	27	non	non	ADJ
fumecheng-12969	322	28	-	-	ADJ
fumecheng-12969	322	29	linear	linear	ADJ
fumecheng-12969	322	30	mechanics	mechanic	NOUN
fumecheng-12969	322	31	,	,	PUNCT
fumecheng-12969	322	32	34(4	34(4	NUM
fumecheng-12969	322	33	)	)	PUNCT
fumecheng-12969	322	34	,	,	PUNCT
fumecheng-12969	322	35	pp	pp	ADV
fumecheng-12969	322	36	.	.	PUNCT
fumecheng-12969	323	1	699	699	NUM
fumecheng-12969	323	2	-	-	SYM
fumecheng-12969	323	3	708	708	NUM
fumecheng-12969	323	4	.	.	NOUN
fumecheng-12969	324	1	15	15	NUM
fumecheng-12969	324	2	.	.	PUNCT
fumecheng-12969	325	1	fu	fu	PROPN
fumecheng-12969	325	2	,	,	PUNCT
fumecheng-12969	325	3	y.	y.	PROPN
fumecheng-12969	325	4	,	,	PUNCT
fumecheng-12969	325	5	zhang	zhang	PROPN
fumecheng-12969	325	6	,	,	PUNCT
fumecheng-12969	325	7	j.	j.	PROPN
fumecheng-12969	325	8	,	,	PUNCT
fumecheng-12969	325	9	wan	wan	PROPN
fumecheng-12969	325	10	,	,	PUNCT
fumecheng-12969	325	11	l.	l.	PROPN
fumecheng-12969	325	12	,	,	PUNCT
fumecheng-12969	325	13	2011	2011	NUM
fumecheng-12969	325	14	,	,	PUNCT
fumecheng-12969	325	15	application	application	NOUN
fumecheng-12969	325	16	of	of	ADP
fumecheng-12969	325	17	the	the	DET
fumecheng-12969	325	18	energy	energy	NOUN
fumecheng-12969	325	19	balance	balance	NOUN
fumecheng-12969	325	20	method	method	NOUN
fumecheng-12969	325	21	to	to	ADP
fumecheng-12969	325	22	a	a	DET
fumecheng-12969	325	23	nonlinear	nonlinear	ADJ
fumecheng-12969	325	24	oscillator	oscillator	NOUN
fumecheng-12969	325	25	arising	arise	VERB
fumecheng-12969	325	26	in	in	ADP
fumecheng-12969	325	27	the	the	DET
fumecheng-12969	325	28	microelectromechanical	microelectromechanical	ADJ
fumecheng-12969	325	29	system	system	NOUN
fumecheng-12969	325	30	(	(	PUNCT
fumecheng-12969	325	31	mems	mems	PROPN
fumecheng-12969	325	32	)	)	PUNCT
fumecheng-12969	325	33	,	,	PUNCT
fumecheng-12969	325	34	current	current	ADJ
fumecheng-12969	325	35	applied	applied	ADJ
fumecheng-12969	325	36	physics	physic	NOUN
fumecheng-12969	325	37	,	,	PUNCT
fumecheng-12969	325	38	11(3	11(3	NUM
fumecheng-12969	325	39	)	)	PUNCT
fumecheng-12969	325	40	,	,	PUNCT
fumecheng-12969	325	41	pp	pp	ADP
fumecheng-12969	325	42	.	.	PUNCT
fumecheng-12969	326	1	482	482	NUM
fumecheng-12969	326	2	-	-	SYM
fumecheng-12969	326	3	485	485	NUM
fumecheng-12969	326	4	.	.	PUNCT
fumecheng-12969	327	1	16	16	NUM
fumecheng-12969	327	2	.	.	PUNCT
fumecheng-12969	328	1	sedighi	sedighi	PROPN
fumecheng-12969	328	2	,	,	PUNCT
fumecheng-12969	328	3	h.m	h.m	PROPN
fumecheng-12969	328	4	.	.	PROPN
fumecheng-12969	328	5	,	,	PUNCT
fumecheng-12969	328	6	daneshmand	daneshmand	PROPN
fumecheng-12969	328	7	,	,	PUNCT
fumecheng-12969	328	8	f.	f.	PROPN
fumecheng-12969	328	9	,	,	PUNCT
fumecheng-12969	328	10	yaghootian	yaghootian	PROPN
fumecheng-12969	328	11	,	,	PUNCT
fumecheng-12969	328	12	a.	a.	NOUN
fumecheng-12969	328	13	,	,	PUNCT
fumecheng-12969	328	14	2014	2014	NUM
fumecheng-12969	328	15	,	,	PUNCT
fumecheng-12969	328	16	application	application	NOUN
fumecheng-12969	328	17	of	of	ADP
fumecheng-12969	328	18	iteration	iteration	NOUN
fumecheng-12969	328	19	perturbation	perturbation	NOUN
fumecheng-12969	328	20	method	method	NOUN
fumecheng-12969	328	21	in	in	ADP
fumecheng-12969	328	22	studying	study	VERB
fumecheng-12969	328	23	dynamic	dynamic	ADJ
fumecheng-12969	328	24	pull	pull	NOUN
fumecheng-12969	328	25	-	-	PUNCT
fumecheng-12969	328	26	in	in	ADP
fumecheng-12969	328	27	instability	instability	NOUN
fumecheng-12969	328	28	of	of	ADP
fumecheng-12969	328	29	micro	micro	NOUN
fumecheng-12969	328	30	-	-	NOUN
fumecheng-12969	328	31	beams	beam	NOUN
fumecheng-12969	328	32	,	,	PUNCT
fumecheng-12969	328	33	latin	latin	ADJ
fumecheng-12969	328	34	american	american	ADJ
fumecheng-12969	328	35	journal	journal	PROPN
fumecheng-12969	328	36	of	of	ADP
fumecheng-12969	328	37	solids	solid	NOUN
fumecheng-12969	328	38	and	and	CCONJ
fumecheng-12969	328	39	structures	structure	NOUN
fumecheng-12969	328	40	,	,	PUNCT
fumecheng-12969	328	41	11	11	NUM
fumecheng-12969	328	42	,	,	PUNCT
fumecheng-12969	328	43	pp	pp	ADJ
fumecheng-12969	328	44	.	.	PUNCT
fumecheng-12969	328	45	1078	1078	NUM
fumecheng-12969	328	46	-	-	SYM
fumecheng-12969	328	47	1089	1089	NUM
fumecheng-12969	328	48	.	.	PUNCT
fumecheng-12969	329	1	17	17	NUM
fumecheng-12969	329	2	.	.	PUNCT
fumecheng-12969	330	1	qian	qian	PROPN
fumecheng-12969	330	2	,	,	PUNCT
fumecheng-12969	330	3	y.	y.	PROPN
fumecheng-12969	330	4	,	,	PUNCT
fumecheng-12969	330	5	pan	pan	PROPN
fumecheng-12969	330	6	,	,	PUNCT
fumecheng-12969	330	7	j.	j.	PROPN
fumecheng-12969	330	8	,	,	PUNCT
fumecheng-12969	330	9	qiang	qiang	PROPN
fumecheng-12969	330	10	,	,	PUNCT
fumecheng-12969	330	11	y.	y.	PROPN
fumecheng-12969	330	12	,	,	PUNCT
fumecheng-12969	330	13	wang	wang	PROPN
fumecheng-12969	330	14	,	,	PUNCT
fumecheng-12969	330	15	j.	j.	PROPN
fumecheng-12969	330	16	,	,	PUNCT
fumecheng-12969	330	17	2019	2019	NUM
fumecheng-12969	330	18	,	,	PUNCT
fumecheng-12969	330	19	the	the	DET
fumecheng-12969	330	20	spreading	spread	VERB
fumecheng-12969	330	21	residue	residue	NOUN
fumecheng-12969	330	22	harmonic	harmonic	ADJ
fumecheng-12969	330	23	balance	balance	NOUN
fumecheng-12969	330	24	method	method	NOUN
fumecheng-12969	330	25	for	for	ADP
fumecheng-12969	330	26	studying	study	VERB
fumecheng-12969	330	27	the	the	DET
fumecheng-12969	330	28	doubly	doubly	ADV
fumecheng-12969	330	29	clamped	clamp	VERB
fumecheng-12969	330	30	beam	beam	NOUN
fumecheng-12969	330	31	-	-	PUNCT
fumecheng-12969	330	32	type	type	NOUN
fumecheng-12969	330	33	n	n	CCONJ
fumecheng-12969	330	34	/	/	SYM
fumecheng-12969	330	35	mems	mem	NOUN
fumecheng-12969	330	36	subjected	subject	VERB
fumecheng-12969	330	37	to	to	ADP
fumecheng-12969	330	38	the	the	DET
fumecheng-12969	330	39	van	van	PROPN
fumecheng-12969	330	40	der	der	NOUN
fumecheng-12969	330	41	waals	waal	NOUN
fumecheng-12969	330	42	attraction	attraction	NOUN
fumecheng-12969	330	43	,	,	PUNCT
fumecheng-12969	330	44	journal	journal	NOUN
fumecheng-12969	330	45	of	of	ADP
fumecheng-12969	330	46	low	low	ADJ
fumecheng-12969	330	47	frequency	frequency	NOUN
fumecheng-12969	330	48	noise	noise	NOUN
fumecheng-12969	330	49	,	,	PUNCT
fumecheng-12969	330	50	vibration	vibration	NOUN
fumecheng-12969	330	51	and	and	CCONJ
fumecheng-12969	330	52	active	active	ADJ
fumecheng-12969	330	53	control	control	NOUN
fumecheng-12969	330	54	,	,	PUNCT
fumecheng-12969	330	55	38(3	38(3	NUM
fumecheng-12969	330	56	-	-	SYM
fumecheng-12969	330	57	4	4	NUM
fumecheng-12969	330	58	)	)	PUNCT
fumecheng-12969	330	59	,	,	PUNCT
fumecheng-12969	330	60	pp	pp	ADJ
fumecheng-12969	330	61	.	.	PUNCT
fumecheng-12969	331	1	1261	1261	NUM
fumecheng-12969	331	2	-	-	SYM
fumecheng-12969	331	3	1271	1271	NUM
fumecheng-12969	331	4	.	.	PUNCT
fumecheng-12969	332	1	18	18	NUM
fumecheng-12969	332	2	.	.	X
fumecheng-12969	332	3	sedighi	sedighi	PROPN
fumecheng-12969	332	4	,	,	PUNCT
fumecheng-12969	332	5	h.m	h.m	PROPN
fumecheng-12969	332	6	.	.	PROPN
fumecheng-12969	332	7	,	,	PUNCT
fumecheng-12969	332	8	shirazi	shirazi	PROPN
fumecheng-12969	332	9	,	,	PUNCT
fumecheng-12969	332	10	k.h	k.h	PROPN
fumecheng-12969	332	11	.	.	PROPN
fumecheng-12969	332	12	,	,	PUNCT
fumecheng-12969	332	13	2013	2013	NUM
fumecheng-12969	332	14	,	,	PUNCT
fumecheng-12969	332	15	vibrations	vibration	NOUN
fumecheng-12969	332	16	of	of	ADP
fumecheng-12969	332	17	micro	micro	NOUN
fumecheng-12969	332	18	-	-	NOUN
fumecheng-12969	332	19	beams	beam	NOUN
fumecheng-12969	332	20	actuated	actuate	VERB
fumecheng-12969	332	21	by	by	ADP
fumecheng-12969	332	22	an	an	DET
fumecheng-12969	332	23	electric	electric	ADJ
fumecheng-12969	332	24	field	field	NOUN
fumecheng-12969	332	25	via	via	ADP
fumecheng-12969	332	26	parameter	parameter	NOUN
fumecheng-12969	332	27	expansion	expansion	NOUN
fumecheng-12969	332	28	method	method	NOUN
fumecheng-12969	332	29	,	,	PUNCT
fumecheng-12969	332	30	acta	acta	PROPN
fumecheng-12969	332	31	astronautica	astronautica	PROPN
fumecheng-12969	332	32	,	,	PUNCT
fumecheng-12969	332	33	85	85	NUM
fumecheng-12969	332	34	,	,	PUNCT
fumecheng-12969	332	35	pp	pp	ADJ
fumecheng-12969	332	36	.	.	PUNCT
fumecheng-12969	333	1	19	19	NUM
fumecheng-12969	333	2	-	-	SYM
fumecheng-12969	333	3	24	24	NUM
fumecheng-12969	333	4	.	.	PUNCT
fumecheng-12969	334	1	19	19	NUM
fumecheng-12969	334	2	.	.	X
fumecheng-12969	335	1	zhang	zhang	PROPN
fumecheng-12969	335	2	,	,	PUNCT
fumecheng-12969	335	3	k.	k.	PROPN
fumecheng-12969	335	4	,	,	PUNCT
fumecheng-12969	335	5	xie	xie	PROPN
fumecheng-12969	335	6	,	,	PUNCT
fumecheng-12969	335	7	j.	j.	PROPN
fumecheng-12969	335	8	,	,	PUNCT
fumecheng-12969	335	9	hao	hao	PROPN
fumecheng-12969	335	10	,	,	PUNCT
fumecheng-12969	335	11	s.	s.	PROPN
fumecheng-12969	335	12	,	,	PUNCT
fumecheng-12969	335	13	zhang	zhang	PROPN
fumecheng-12969	335	14	,	,	PUNCT
fumecheng-12969	335	15	q.	q.	PROPN
fumecheng-12969	335	16	,	,	PUNCT
fumecheng-12969	335	17	feng	feng	PROPN
fumecheng-12969	335	18	,	,	PUNCT
fumecheng-12969	335	19	j.	j.	PROPN
fumecheng-12969	335	20	,	,	PUNCT
fumecheng-12969	335	21	2023	2023	NUM
fumecheng-12969	335	22	,	,	PUNCT
fumecheng-12969	335	23	exploring	explore	VERB
fumecheng-12969	335	24	nonlinearity	nonlinearity	NOUN
fumecheng-12969	335	25	to	to	PART
fumecheng-12969	335	26	enhance	enhance	VERB
fumecheng-12969	335	27	the	the	DET
fumecheng-12969	335	28	sensitivity	sensitivity	NOUN
fumecheng-12969	335	29	and	and	CCONJ
fumecheng-12969	335	30	bandwidth	bandwidth	ADJ
fumecheng-12969	335	31	performance	performance	NOUN
fumecheng-12969	335	32	of	of	ADP
fumecheng-12969	335	33	a	a	DET
fumecheng-12969	335	34	novel	novel	ADJ
fumecheng-12969	335	35	tapered	taper	VERB
fumecheng-12969	335	36	beam	beam	NOUN
fumecheng-12969	335	37	micro	micro	NOUN
fumecheng-12969	335	38	-	-	NOUN
fumecheng-12969	335	39	gyroscope	gyroscope	NOUN
fumecheng-12969	335	40	,	,	PUNCT
fumecheng-12969	335	41	journal	journal	NOUN
fumecheng-12969	335	42	of	of	ADP
fumecheng-12969	335	43	sound	sound	NOUN
fumecheng-12969	335	44	and	and	CCONJ
fumecheng-12969	335	45	vibration	vibration	NOUN
fumecheng-12969	335	46	,	,	PUNCT
fumecheng-12969	335	47	562	562	NUM
fumecheng-12969	335	48	,	,	PUNCT
fumecheng-12969	335	49	117823	117823	NUM
fumecheng-12969	335	50	.	.	PUNCT
fumecheng-12969	336	1	20	20	NUM
fumecheng-12969	336	2	.	.	PUNCT
fumecheng-12969	337	1	jena	jena	PROPN
fumecheng-12969	337	2	,	,	PUNCT
fumecheng-12969	337	3	r.m	r.m	PROPN
fumecheng-12969	337	4	.	.	PROPN
fumecheng-12969	337	5	,	,	PUNCT
fumecheng-12969	337	6	chakraverty	chakraverty	PROPN
fumecheng-12969	337	7	,	,	PUNCT
fumecheng-12969	337	8	s.	s.	PROPN
fumecheng-12969	337	9	,	,	PUNCT
fumecheng-12969	337	10	2019	2019	NUM
fumecheng-12969	337	11	,	,	PUNCT
fumecheng-12969	337	12	residual	residual	ADJ
fumecheng-12969	337	13	power	power	NOUN
fumecheng-12969	337	14	series	series	NOUN
fumecheng-12969	337	15	method	method	NOUN
fumecheng-12969	337	16	for	for	ADP
fumecheng-12969	337	17	solving	solve	VERB
fumecheng-12969	337	18	time	time	NOUN
fumecheng-12969	337	19	-	-	PUNCT
fumecheng-12969	337	20	fractional	fractional	ADJ
fumecheng-12969	337	21	model	model	NOUN
fumecheng-12969	337	22	of	of	ADP
fumecheng-12969	337	23	vibration	vibration	NOUN
fumecheng-12969	337	24	equation	equation	NOUN
fumecheng-12969	337	25	of	of	ADP
fumecheng-12969	337	26	large	large	ADJ
fumecheng-12969	337	27	membranes	membrane	NOUN
fumecheng-12969	337	28	,	,	PUNCT
fumecheng-12969	337	29	journal	journal	NOUN
fumecheng-12969	337	30	of	of	ADP
fumecheng-12969	337	31	applied	applied	ADJ
fumecheng-12969	337	32	and	and	CCONJ
fumecheng-12969	337	33	computational	computational	ADJ
fumecheng-12969	337	34	mechanics	mechanic	NOUN
fumecheng-12969	337	35	,	,	PUNCT
fumecheng-12969	337	36	5(4	5(4	NUM
fumecheng-12969	337	37	)	)	PUNCT
fumecheng-12969	337	38	,	,	PUNCT
fumecheng-12969	337	39	pp	pp	PROPN
fumecheng-12969	337	40	.	.	PUNCT
fumecheng-12969	338	1	603	603	NUM
fumecheng-12969	338	2	-	-	SYM
fumecheng-12969	338	3	615	615	NUM
fumecheng-12969	338	4	.	.	PUNCT
fumecheng-12969	339	1	21	21	NUM
fumecheng-12969	339	2	.	.	PUNCT
fumecheng-12969	339	3	song	song	PROPN
fumecheng-12969	339	4	,	,	PUNCT
fumecheng-12969	339	5	q.r	q.r	PROPN
fumecheng-12969	339	6	.	.	PROPN
fumecheng-12969	339	7	,	,	PUNCT
fumecheng-12969	339	8	zhang	zhang	PROPN
fumecheng-12969	339	9	,	,	PUNCT
fumecheng-12969	339	10	j.g	j.g	PROPN
fumecheng-12969	339	11	.	.	PROPN
fumecheng-12969	339	12	,	,	PUNCT
fumecheng-12969	339	13	2024	2024	NUM
fumecheng-12969	339	14	,	,	PUNCT
fumecheng-12969	339	15	he	he	PRON
fumecheng-12969	339	16	-	-	PUNCT
fumecheng-12969	339	17	transform	transform	VERB
fumecheng-12969	339	18	:	:	PUNCT
fumecheng-12969	339	19	breakthrough	breakthrough	NOUN
fumecheng-12969	339	20	advancement	advancement	NOUN
fumecheng-12969	339	21	for	for	ADP
fumecheng-12969	339	22	the	the	DET
fumecheng-12969	339	23	variational	variational	ADJ
fumecheng-12969	339	24	iteration	iteration	NOUN
fumecheng-12969	339	25	method	method	NOUN
fumecheng-12969	339	26	,	,	PUNCT
fumecheng-12969	339	27	frontiers	frontier	NOUN
fumecheng-12969	339	28	in	in	ADP
fumecheng-12969	339	29	physics	physics	NOUN
fumecheng-12969	339	30	,	,	PUNCT
fumecheng-12969	339	31	12	12	NUM
fumecheng-12969	339	32	,	,	PUNCT
fumecheng-12969	339	33	121411691	121411691	NUM
fumecheng-12969	339	34	.	.	PUNCT
fumecheng-12969	340	1	22	22	NUM
fumecheng-12969	340	2	.	.	X
fumecheng-12969	341	1	yang	yang	PROPN
fumecheng-12969	341	2	,	,	PUNCT
fumecheng-12969	341	3	q.	q.	PROPN
fumecheng-12969	341	4	,	,	PUNCT
fumecheng-12969	341	5	2023	2023	NUM
fumecheng-12969	341	6	,	,	PUNCT
fumecheng-12969	341	7	a	a	DET
fumecheng-12969	341	8	mathematical	mathematical	ADJ
fumecheng-12969	341	9	control	control	NOUN
fumecheng-12969	341	10	for	for	ADP
fumecheng-12969	341	11	the	the	DET
fumecheng-12969	341	12	pseudo	pseudo	NOUN
fumecheng-12969	341	13	-	-	ADJ
fumecheng-12969	341	14	pull	pull	NOUN
fumecheng-12969	341	15	-	-	PUNCT
fumecheng-12969	341	16	in	in	ADP
fumecheng-12969	341	17	stability	stability	NOUN
fumecheng-12969	341	18	arising	arise	VERB
fumecheng-12969	341	19	in	in	ADP
fumecheng-12969	341	20	a	a	DET
fumecheng-12969	341	21	micro	micro	ADJ
fumecheng-12969	341	22	-	-	ADJ
fumecheng-12969	341	23	electromechanical	electromechanical	ADJ
fumecheng-12969	341	24	system	system	NOUN
fumecheng-12969	341	25	,	,	PUNCT
fumecheng-12969	341	26	journal	journal	NOUN
fumecheng-12969	341	27	of	of	ADP
fumecheng-12969	341	28	low	low	ADJ
fumecheng-12969	341	29	frequency	frequency	NOUN
fumecheng-12969	341	30	noise	noise	NOUN
fumecheng-12969	341	31	,	,	PUNCT
fumecheng-12969	341	32	vibration	vibration	NOUN
fumecheng-12969	341	33	and	and	CCONJ
fumecheng-12969	341	34	active	active	ADJ
fumecheng-12969	341	35	control	control	NOUN
fumecheng-12969	341	36	,	,	PUNCT
fumecheng-12969	341	37	42(2	42(2	NOUN
fumecheng-12969	341	38	)	)	PUNCT
fumecheng-12969	341	39	,	,	PUNCT
fumecheng-12969	341	40	pp	pp	ADP
fumecheng-12969	341	41	.	.	PUNCT
fumecheng-12969	342	1	927	927	NUM
fumecheng-12969	342	2	-	-	SYM
fumecheng-12969	342	3	934	934	NUM
fumecheng-12969	342	4	.	.	PUNCT
fumecheng-12969	343	1	23	23	NUM
fumecheng-12969	343	2	.	.	PUNCT
fumecheng-12969	344	1	he	he	PRON
fumecheng-12969	344	2	,	,	PUNCT
fumecheng-12969	344	3	j.h	j.h	PROPN
fumecheng-12969	344	4	.	.	PROPN
fumecheng-12969	344	5	,	,	PUNCT
fumecheng-12969	344	6	el	el	PROPN
fumecheng-12969	344	7	-	-	PUNCT
fumecheng-12969	344	8	dib	dib	PROPN
fumecheng-12969	344	9	,	,	PUNCT
fumecheng-12969	344	10	y.o	y.o	PROPN
fumecheng-12969	344	11	.	.	PROPN
fumecheng-12969	344	12	,	,	PUNCT
fumecheng-12969	344	13	2020	2020	NUM
fumecheng-12969	344	14	,	,	PUNCT
fumecheng-12969	344	15	homotopy	homotopy	VERB
fumecheng-12969	344	16	perturbation	perturbation	NOUN
fumecheng-12969	344	17	method	method	NOUN
fumecheng-12969	344	18	for	for	ADP
fumecheng-12969	344	19	fangzhu	fangzhu	PROPN
fumecheng-12969	344	20	oscillator	oscillator	NOUN
fumecheng-12969	344	21	,	,	PUNCT
fumecheng-12969	344	22	journal	journal	NOUN
fumecheng-12969	344	23	of	of	ADP
fumecheng-12969	344	24	mathematical	mathematical	ADJ
fumecheng-12969	344	25	chemistry	chemistry	NOUN
fumecheng-12969	344	26	,	,	PUNCT
fumecheng-12969	344	27	58	58	NUM
fumecheng-12969	344	28	,	,	PUNCT
fumecheng-12969	344	29	pp	pp	ADJ
fumecheng-12969	344	30	.	.	PUNCT
fumecheng-12969	344	31	2245	2245	NUM
fumecheng-12969	344	32	-	-	SYM
fumecheng-12969	344	33	2253	2253	NUM
fumecheng-12969	344	34	.	.	PUNCT
fumecheng-12969	345	1	24	24	NUM
fumecheng-12969	345	2	.	.	X
fumecheng-12969	345	3	qayyum	qayyum	PROPN
fumecheng-12969	345	4	,	,	PUNCT
fumecheng-12969	345	5	m.	m.	NOUN
fumecheng-12969	345	6	,	,	PUNCT
fumecheng-12969	345	7	oscar	oscar	NOUN
fumecheng-12969	345	8	,	,	PUNCT
fumecheng-12969	345	9	i.	i.	NOUN
fumecheng-12969	345	10	,	,	PUNCT
fumecheng-12969	345	11	2021	2021	NUM
fumecheng-12969	345	12	,	,	PUNCT
fumecheng-12969	345	13	least	least	ADJ
fumecheng-12969	345	14	square	square	ADJ
fumecheng-12969	345	15	homotopy	homotopy	NOUN
fumecheng-12969	345	16	perturbation	perturbation	NOUN
fumecheng-12969	345	17	method	method	NOUN
fumecheng-12969	345	18	for	for	ADP
fumecheng-12969	345	19	ordinary	ordinary	ADJ
fumecheng-12969	345	20	differential	differential	ADJ
fumecheng-12969	345	21	equations	equation	NOUN
fumecheng-12969	345	22	,	,	PUNCT
fumecheng-12969	345	23	journal	journal	NOUN
fumecheng-12969	345	24	of	of	ADP
fumecheng-12969	345	25	mathematics	mathematic	NOUN
fumecheng-12969	345	26	,	,	PUNCT
fumecheng-12969	345	27	2021(1	2021(1	NUM
fumecheng-12969	345	28	)	)	PUNCT
fumecheng-12969	345	29	,	,	PUNCT
fumecheng-12969	345	30	7059194	7059194	NUM
fumecheng-12969	345	31	.	.	PUNCT
fumecheng-12969	346	1	25	25	NUM
fumecheng-12969	346	2	.	.	X
fumecheng-12969	346	3	anjum	anjum	PROPN
fumecheng-12969	346	4	,	,	PUNCT
fumecheng-12969	346	5	n.	n.	PROPN
fumecheng-12969	346	6	,	,	PUNCT
fumecheng-12969	346	7	he	he	PRON
fumecheng-12969	346	8	,	,	PUNCT
fumecheng-12969	346	9	j.h	j.h	PROPN
fumecheng-12969	346	10	.	.	PROPN
fumecheng-12969	346	11	,	,	PUNCT
fumecheng-12969	346	12	2020	2020	NUM
fumecheng-12969	346	13	,	,	PUNCT
fumecheng-12969	346	14	homotopy	homotopy	VERB
fumecheng-12969	346	15	perturbation	perturbation	NOUN
fumecheng-12969	346	16	method	method	NOUN
fumecheng-12969	346	17	for	for	ADP
fumecheng-12969	346	18	n	n	CCONJ
fumecheng-12969	346	19	/	/	SYM
fumecheng-12969	346	20	mems	mem	NOUN
fumecheng-12969	346	21	oscillators	oscillator	NOUN
fumecheng-12969	346	22	,	,	PUNCT
fumecheng-12969	346	23	mathematical	mathematical	ADJ
fumecheng-12969	346	24	methods	method	NOUN
fumecheng-12969	346	25	in	in	ADP
fumecheng-12969	346	26	the	the	DET
fumecheng-12969	346	27	applied	apply	VERB
fumecheng-12969	346	28	sciences	science	NOUN
fumecheng-12969	346	29	,	,	PUNCT
fumecheng-12969	346	30	https://doi.org/10.1002/mma.6583	https://doi.org/10.1002/mma.6583	PROPN
fumecheng-12969	346	31	.	.	PROPN
fumecheng-12969	347	1	26	26	NUM
fumecheng-12969	347	2	.	.	PUNCT
fumecheng-12969	348	1	he	he	PRON
fumecheng-12969	348	2	,	,	PUNCT
fumecheng-12969	348	3	j.h	j.h	PROPN
fumecheng-12969	348	4	.	.	PROPN
fumecheng-12969	348	5	,	,	PUNCT
fumecheng-12969	348	6	he	he	PRON
fumecheng-12969	348	7	,	,	PUNCT
fumecheng-12969	348	8	c.h	c.h	PROPN
fumecheng-12969	348	9	.	.	PROPN
fumecheng-12969	348	10	,	,	PUNCT
fumecheng-12969	348	11	alsolami	alsolami	PROPN
fumecheng-12969	348	12	,	,	PUNCT
fumecheng-12969	348	13	a.a	a.a	PROPN
fumecheng-12969	348	14	.	.	PROPN
fumecheng-12969	348	15	,	,	PUNCT
fumecheng-12969	348	16	2023	2023	NUM
fumecheng-12969	348	17	,	,	PUNCT
fumecheng-12969	348	18	a	a	DET
fumecheng-12969	348	19	good	good	ADJ
fumecheng-12969	348	20	initial	initial	ADJ
fumecheng-12969	348	21	guess	guess	NOUN
fumecheng-12969	348	22	for	for	ADP
fumecheng-12969	348	23	approximating	approximate	VERB
fumecheng-12969	348	24	nonlinear	nonlinear	ADJ
fumecheng-12969	348	25	oscillators	oscillator	NOUN
fumecheng-12969	348	26	by	by	ADP
fumecheng-12969	348	27	the	the	DET
fumecheng-12969	348	28	homotopy	homotopy	NOUN
fumecheng-12969	348	29	perturbation	perturbation	NOUN
fumecheng-12969	348	30	method	method	NOUN
fumecheng-12969	348	31	,	,	PUNCT
fumecheng-12969	348	32	facta	facta	PROPN
fumecheng-12969	348	33	universitatis	universitatis	PROPN
fumecheng-12969	348	34	-	-	PUNCT
fumecheng-12969	348	35	series	series	NOUN
fumecheng-12969	348	36	mechanical	mechanical	ADJ
fumecheng-12969	348	37	engineering	engineering	NOUN
fumecheng-12969	348	38	,	,	PUNCT
fumecheng-12969	348	39	21(1	21(1	NUM
fumecheng-12969	348	40	)	)	PUNCT
fumecheng-12969	348	41	,	,	PUNCT
fumecheng-12969	348	42	pp	pp	PROPN
fumecheng-12969	348	43	.	.	PUNCT
fumecheng-12969	348	44	021	021	NUM
fumecheng-12969	348	45	-	-	PUNCT
fumecheng-12969	348	46	029	029	NUM
fumecheng-12969	348	47	.	.	PUNCT
fumecheng-12969	348	48	27	27	NUM
fumecheng-12969	348	49	.	.	X
fumecheng-12969	349	1	tao	tao	PROPN
fumecheng-12969	349	2	,	,	PUNCT
fumecheng-12969	349	3	h.	h.	PROPN
fumecheng-12969	349	4	,	,	PUNCT
fumecheng-12969	349	5	anjum	anjum	PROPN
fumecheng-12969	349	6	,	,	PUNCT
fumecheng-12969	349	7	n.	n.	PROPN
fumecheng-12969	349	8	,	,	PUNCT
fumecheng-12969	349	9	yang	yang	PROPN
fumecheng-12969	349	10	,	,	PUNCT
fumecheng-12969	349	11	y.	y.	PROPN
fumecheng-12969	349	12	j.	j.	PROPN
fumecheng-12969	349	13	,	,	PUNCT
fumecheng-12969	349	14	2023	2023	NUM
fumecheng-12969	349	15	,	,	PUNCT
fumecheng-12969	349	16	the	the	DET
fumecheng-12969	349	17	aboodh	aboodh	ADJ
fumecheng-12969	349	18	transformation	transformation	NOUN
fumecheng-12969	349	19	-	-	PUNCT
fumecheng-12969	349	20	based	base	VERB
fumecheng-12969	349	21	homotopy	homotopy	NOUN
fumecheng-12969	349	22	perturbation	perturbation	NOUN
fumecheng-12969	349	23	method	method	NOUN
fumecheng-12969	349	24	:	:	PUNCT
fumecheng-12969	349	25	new	new	ADJ
fumecheng-12969	349	26	hope	hope	NOUN
fumecheng-12969	349	27	for	for	ADP
fumecheng-12969	349	28	fractional	fractional	ADJ
fumecheng-12969	349	29	calculus	calculus	NOUN
fumecheng-12969	349	30	,	,	PUNCT
fumecheng-12969	349	31	frontiers	frontier	NOUN
fumecheng-12969	349	32	in	in	ADP
fumecheng-12969	349	33	physics	physics	NOUN
fumecheng-12969	349	34	,	,	PUNCT
fumecheng-12969	349	35	11	11	NUM
fumecheng-12969	349	36	,	,	PUNCT
fumecheng-12969	349	37	1168795	1168795	NUM
fumecheng-12969	349	38	.	.	PUNCT
fumecheng-12969	350	1	28	28	NUM
fumecheng-12969	350	2	.	.	PUNCT
fumecheng-12969	351	1	niu	niu	PROPN
fumecheng-12969	351	2	,	,	PUNCT
fumecheng-12969	351	3	j.y	j.y	PROPN
fumecheng-12969	351	4	.	.	PROPN
fumecheng-12969	351	5	,	,	PUNCT
fumecheng-12969	351	6	he	he	PRON
fumecheng-12969	351	7	,	,	PUNCT
fumecheng-12969	351	8	c.h	c.h	PROPN
fumecheng-12969	351	9	.	.	PROPN
fumecheng-12969	351	10	,	,	PUNCT
fumecheng-12969	351	11	alsolami	alsolami	PROPN
fumecheng-12969	351	12	,	,	PUNCT
fumecheng-12969	351	13	a.a	a.a	PROPN
fumecheng-12969	351	14	.	.	PROPN
fumecheng-12969	351	15	,	,	PUNCT
fumecheng-12969	351	16	2024	2024	NUM
fumecheng-12969	351	17	,	,	PUNCT
fumecheng-12969	351	18	symmetry	symmetry	NOUN
fumecheng-12969	351	19	-	-	PUNCT
fumecheng-12969	351	20	breaking	break	VERB
fumecheng-12969	351	21	and	and	CCONJ
fumecheng-12969	351	22	pull	pull	NOUN
fumecheng-12969	351	23	-	-	PUNCT
fumecheng-12969	351	24	down	down	ADP
fumecheng-12969	351	25	motion	motion	NOUN
fumecheng-12969	351	26	for	for	ADP
fumecheng-12969	351	27	the	the	DET
fumecheng-12969	351	28	helmholtz	helmholtz	NOUN
fumecheng-12969	351	29	-	-	PUNCT
fumecheng-12969	351	30	duffing	duffing	NOUN
fumecheng-12969	351	31	oscillator	oscillator	NOUN
fumecheng-12969	351	32	,	,	PUNCT
fumecheng-12969	351	33	journal	journal	NOUN
fumecheng-12969	351	34	of	of	ADP
fumecheng-12969	351	35	low	low	ADJ
fumecheng-12969	351	36	frequency	frequency	NOUN
fumecheng-12969	351	37	noise	noise	NOUN
fumecheng-12969	351	38	,	,	PUNCT
fumecheng-12969	351	39	vibration	vibration	NOUN
fumecheng-12969	351	40	and	and	CCONJ
fumecheng-12969	351	41	active	active	ADJ
fumecheng-12969	351	42	control	control	NOUN
fumecheng-12969	351	43	,	,	PUNCT
fumecheng-12969	351	44	43(1	43(1	NOUN
fumecheng-12969	351	45	)	)	PUNCT
fumecheng-12969	351	46	,	,	PUNCT
fumecheng-12969	351	47	pp	pp	ADJ
fumecheng-12969	351	48	.	.	PUNCT
fumecheng-12969	352	1	263	263	NUM
fumecheng-12969	352	2	-	-	SYM
fumecheng-12969	352	3	271	271	NUM
fumecheng-12969	352	4	.	.	X
fumecheng-12969	352	5	29	29	NUM
fumecheng-12969	352	6	.	.	PUNCT
fumecheng-12969	352	7	bulut	bulut	NOUN
fumecheng-12969	352	8	,	,	PUNCT
fumecheng-12969	352	9	h.	h.	PROPN
fumecheng-12969	352	10	,	,	PUNCT
fumecheng-12969	352	11	baskonus	baskonus	PROPN
fumecheng-12969	352	12	,	,	PUNCT
fumecheng-12969	352	13	h.m	h.m	PROPN
fumecheng-12969	352	14	.	.	PROPN
fumecheng-12969	352	15	,	,	PUNCT
fumecheng-12969	352	16	belgacem	belgacem	VERB
fumecheng-12969	352	17	,	,	PUNCT
fumecheng-12969	352	18	f.b.m	f.b.m	VERB
fumecheng-12969	352	19	.	.	PROPN
fumecheng-12969	352	20	,	,	PUNCT
fumecheng-12969	352	21	2013	2013	NUM
fumecheng-12969	352	22	,	,	PUNCT
fumecheng-12969	352	23	the	the	DET
fumecheng-12969	352	24	analytical	analytical	ADJ
fumecheng-12969	352	25	solution	solution	NOUN
fumecheng-12969	352	26	of	of	ADP
fumecheng-12969	352	27	some	some	DET
fumecheng-12969	352	28	fractional	fractional	ADJ
fumecheng-12969	352	29	ordinary	ordinary	ADJ
fumecheng-12969	352	30	differential	differential	ADJ
fumecheng-12969	352	31	equations	equation	NOUN
fumecheng-12969	352	32	by	by	ADP
fumecheng-12969	352	33	the	the	DET
fumecheng-12969	352	34	sumudu	sumudu	NOUN
fumecheng-12969	352	35	transform	transform	NOUN
fumecheng-12969	352	36	method	method	NOUN
fumecheng-12969	352	37	,	,	PUNCT
fumecheng-12969	352	38	abstract	abstract	ADJ
fumecheng-12969	352	39	and	and	CCONJ
fumecheng-12969	352	40	applied	apply	VERB
fumecheng-12969	352	41	analysis	analysis	NOUN
fumecheng-12969	352	42	,	,	PUNCT
fumecheng-12969	352	43	2013(1	2013(1	NUM
fumecheng-12969	352	44	)	)	PUNCT
fumecheng-12969	352	45	,	,	PUNCT
fumecheng-12969	352	46	203875	203875	NUM
fumecheng-12969	352	47	.	.	PUNCT
fumecheng-12969	353	1	30	30	NUM
fumecheng-12969	353	2	.	.	X
fumecheng-12969	354	1	patel	patel	PROPN
fumecheng-12969	354	2	,	,	PUNCT
fumecheng-12969	354	3	t.	t.	PROPN
fumecheng-12969	354	4	,	,	PUNCT
fumecheng-12969	354	5	meher	meher	PROPN
fumecheng-12969	354	6	,	,	PUNCT
fumecheng-12969	354	7	r.	r.	PROPN
fumecheng-12969	354	8	,	,	PUNCT
fumecheng-12969	354	9	2017	2017	NUM
fumecheng-12969	354	10	,	,	PUNCT
fumecheng-12969	354	11	thermal	thermal	ADJ
fumecheng-12969	354	12	analysis	analysis	NOUN
fumecheng-12969	354	13	of	of	ADP
fumecheng-12969	354	14	porous	porous	ADJ
fumecheng-12969	354	15	fin	fin	NOUN
fumecheng-12969	354	16	with	with	ADP
fumecheng-12969	354	17	uniform	uniform	ADJ
fumecheng-12969	354	18	magnetic	magnetic	ADJ
fumecheng-12969	354	19	field	field	NOUN
fumecheng-12969	354	20	using	use	VERB
fumecheng-12969	354	21	adomian	adomian	NOUN
fumecheng-12969	354	22	decomposition	decomposition	NOUN
fumecheng-12969	354	23	sumudu	sumudu	NOUN
fumecheng-12969	354	24	transform	transform	NOUN
fumecheng-12969	354	25	method	method	NOUN
fumecheng-12969	354	26	,	,	PUNCT
fumecheng-12969	354	27	nonlinear	nonlinear	ADJ
fumecheng-12969	354	28	engineering	engineering	NOUN
fumecheng-12969	354	29	,	,	PUNCT
fumecheng-12969	354	30	6(3	6(3	NUM
fumecheng-12969	354	31	)	)	PUNCT
fumecheng-12969	354	32	,	,	PUNCT
fumecheng-12969	354	33	pp	pp	ADP
fumecheng-12969	354	34	.	.	PUNCT
fumecheng-12969	355	1	191	191	NUM
fumecheng-12969	355	2	-	-	SYM
fumecheng-12969	355	3	200	200	NUM
fumecheng-12969	355	4	.	.	PUNCT
fumecheng-12969	356	1	31	31	NUM
fumecheng-12969	356	2	.	.	PUNCT
fumecheng-12969	357	1	sahni	sahni	NOUN
fumecheng-12969	357	2	,	,	PUNCT
fumecheng-12969	357	3	m.	m.	NOUN
fumecheng-12969	357	4	,	,	PUNCT
fumecheng-12969	357	5	parikh	parikh	PROPN
fumecheng-12969	357	6	,	,	PUNCT
fumecheng-12969	357	7	m.	m.	NOUN
fumecheng-12969	357	8	,	,	PUNCT
fumecheng-12969	357	9	sahni	sahni	PROPN
fumecheng-12969	357	10	,	,	PUNCT
fumecheng-12969	357	11	r.	r.	PROPN
fumecheng-12969	357	12	,	,	PUNCT
fumecheng-12969	357	13	2021	2021	NUM
fumecheng-12969	357	14	,	,	PUNCT
fumecheng-12969	357	15	sumudu	sumudu	NOUN
fumecheng-12969	357	16	transform	transform	NOUN
fumecheng-12969	357	17	for	for	ADP
fumecheng-12969	357	18	solving	solve	VERB
fumecheng-12969	357	19	ordinary	ordinary	ADJ
fumecheng-12969	357	20	differential	differential	ADJ
fumecheng-12969	357	21	equation	equation	NOUN
fumecheng-12969	357	22	in	in	ADP
fumecheng-12969	357	23	a	a	DET
fumecheng-12969	357	24	fuzzy	fuzzy	ADJ
fumecheng-12969	357	25	environment	environment	NOUN
fumecheng-12969	357	26	,	,	PUNCT
fumecheng-12969	357	27	journal	journal	NOUN
fumecheng-12969	357	28	of	of	ADP
fumecheng-12969	357	29	interdisciplinary	interdisciplinary	ADJ
fumecheng-12969	357	30	mathematics	mathematic	NOUN
fumecheng-12969	357	31	,	,	PUNCT
fumecheng-12969	357	32	24(6	24(6	NUM
fumecheng-12969	357	33	)	)	PUNCT
fumecheng-12969	357	34	,	,	PUNCT
fumecheng-12969	357	35	pp	pp	PROPN
fumecheng-12969	357	36	.	.	PUNCT
fumecheng-12969	358	1	1565	1565	NUM
fumecheng-12969	358	2	-	-	SYM
fumecheng-12969	358	3	1577	1577	NUM
fumecheng-12969	358	4	.	.	PUNCT
fumecheng-12969	359	1	32	32	NUM
fumecheng-12969	359	2	.	.	X
fumecheng-12969	360	1	nadeem	nadeem	PROPN
fumecheng-12969	360	2	,	,	PUNCT
fumecheng-12969	360	3	m.	m.	NOUN
fumecheng-12969	360	4	,	,	PUNCT
fumecheng-12969	360	5	alsayaad	alsayaad	PROPN
fumecheng-12969	360	6	,	,	PUNCT
fumecheng-12969	360	7	y.	y.	NOUN
fumecheng-12969	360	8	,	,	PUNCT
fumecheng-12969	360	9	2024	2024	NUM
fumecheng-12969	360	10	,	,	PUNCT
fumecheng-12969	360	11	analytical	analytical	ADJ
fumecheng-12969	360	12	study	study	NOUN
fumecheng-12969	360	13	of	of	ADP
fumecheng-12969	360	14	one	one	NUM
fumecheng-12969	360	15	dimensional	dimensional	ADJ
fumecheng-12969	360	16	time	time	NOUN
fumecheng-12969	360	17	fractional	fractional	ADJ
fumecheng-12969	360	18	schrödinger	schrödinger	ADJ
fumecheng-12969	360	19	problems	problem	NOUN
fumecheng-12969	360	20	arising	arise	VERB
fumecheng-12969	360	21	in	in	ADP
fumecheng-12969	360	22	quantum	quantum	ADJ
fumecheng-12969	360	23	mechanics	mechanic	NOUN
fumecheng-12969	360	24	,	,	PUNCT
fumecheng-12969	360	25	scientific	scientific	ADJ
fumecheng-12969	360	26	reports	report	NOUN
fumecheng-12969	360	27	,	,	PUNCT
fumecheng-12969	360	28	14(1	14(1	NUM
fumecheng-12969	360	29	)	)	PUNCT
fumecheng-12969	360	30	,	,	PUNCT
fumecheng-12969	360	31	12503	12503	NUM
fumecheng-12969	360	32	.	.	PUNCT
fumecheng-12969	361	1	33	33	NUM
fumecheng-12969	361	2	.	.	PUNCT
fumecheng-12969	361	3	askari	askari	PROPN
fumecheng-12969	361	4	,	,	PUNCT
fumecheng-12969	361	5	a.r	a.r	PROPN
fumecheng-12969	361	6	.	.	PROPN
fumecheng-12969	361	7	,	,	PUNCT
fumecheng-12969	361	8	tahani	tahani	PROPN
fumecheng-12969	361	9	,	,	PUNCT
fumecheng-12969	361	10	m.	m.	NOUN
fumecheng-12969	361	11	,	,	PUNCT
fumecheng-12969	361	12	moeenfard	moeenfard	NOUN
fumecheng-12969	361	13	,	,	PUNCT
fumecheng-12969	361	14	h.	h.	PROPN
fumecheng-12969	361	15	,	,	PUNCT
fumecheng-12969	361	16	2017	2017	NUM
fumecheng-12969	361	17	,	,	PUNCT
fumecheng-12969	361	18	a	a	DET
fumecheng-12969	361	19	frequency	frequency	NOUN
fumecheng-12969	361	20	criterion	criterion	NOUN
fumecheng-12969	361	21	for	for	ADP
fumecheng-12969	361	22	doubly	doubly	ADV
fumecheng-12969	361	23	clamped	clamp	VERB
fumecheng-12969	361	24	beam	beam	NOUN
fumecheng-12969	361	25	-	-	PUNCT
fumecheng-12969	361	26	type	type	NOUN
fumecheng-12969	361	27	n	n	CCONJ
fumecheng-12969	361	28	/	/	SYM
fumecheng-12969	361	29	mems	mem	NOUN
fumecheng-12969	361	30	subjected	subject	VERB
fumecheng-12969	361	31	to	to	ADP
fumecheng-12969	361	32	the	the	DET
fumecheng-12969	361	33	van	van	PROPN
fumecheng-12969	361	34	der	der	NOUN
fumecheng-12969	361	35	waals	waal	NOUN
fumecheng-12969	361	36	attraction	attraction	NOUN
fumecheng-12969	361	37	,	,	PUNCT
fumecheng-12969	361	38	applied	apply	VERB
fumecheng-12969	361	39	mathematical	mathematical	ADJ
fumecheng-12969	361	40	modelling	modelling	NOUN
fumecheng-12969	361	41	,	,	PUNCT
fumecheng-12969	361	42	41	41	NUM
fumecheng-12969	361	43	,	,	PUNCT
fumecheng-12969	361	44	pp	pp	ADJ
fumecheng-12969	361	45	.	.	PUNCT
fumecheng-12969	362	1	650	650	NUM
fumecheng-12969	362	2	-	-	SYM
fumecheng-12969	362	3	666	666	NUM
fumecheng-12969	362	4	.	.	PUNCT
fumecheng-12969	363	1	34	34	NUM
fumecheng-12969	363	2	.	.	PUNCT
fumecheng-12969	364	1	he	he	PRON
fumecheng-12969	364	2	,	,	PUNCT
fumecheng-12969	364	3	c.h	c.h	PROPN
fumecheng-12969	364	4	.	.	PROPN
fumecheng-12969	364	5	,	,	PUNCT
fumecheng-12969	364	6	el	el	PROPN
fumecheng-12969	364	7	-	-	PUNCT
fumecheng-12969	364	8	dib	dib	PROPN
fumecheng-12969	364	9	,	,	PUNCT
fumecheng-12969	364	10	y.o	y.o	PROPN
fumecheng-12969	364	11	.	.	PROPN
fumecheng-12969	364	12	,	,	PUNCT
fumecheng-12969	364	13	2022	2022	NUM
fumecheng-12969	364	14	,	,	PUNCT
fumecheng-12969	364	15	a	a	DET
fumecheng-12969	364	16	heuristic	heuristic	ADJ
fumecheng-12969	364	17	review	review	NOUN
fumecheng-12969	364	18	on	on	ADP
fumecheng-12969	364	19	the	the	DET
fumecheng-12969	364	20	homotopy	homotopy	NOUN
fumecheng-12969	364	21	perturbation	perturbation	NOUN
fumecheng-12969	364	22	method	method	NOUN
fumecheng-12969	364	23	for	for	ADP
fumecheng-12969	364	24	non	non	ADJ
fumecheng-12969	364	25	-	-	ADJ
fumecheng-12969	364	26	conservative	conservative	ADJ
fumecheng-12969	364	27	oscillators	oscillator	NOUN
fumecheng-12969	364	28	,	,	PUNCT
fumecheng-12969	364	29	journal	journal	NOUN
fumecheng-12969	364	30	of	of	ADP
fumecheng-12969	364	31	low	low	ADJ
fumecheng-12969	364	32	frequency	frequency	NOUN
fumecheng-12969	364	33	noise	noise	NOUN
fumecheng-12969	364	34	,	,	PUNCT
fumecheng-12969	364	35	vibration	vibration	NOUN
fumecheng-12969	364	36	and	and	CCONJ
fumecheng-12969	364	37	active	active	ADJ
fumecheng-12969	364	38	control	control	NOUN
fumecheng-12969	364	39	,	,	PUNCT
fumecheng-12969	364	40	41(2	41(2	NUM
fumecheng-12969	364	41	)	)	PUNCT
fumecheng-12969	364	42	,	,	PUNCT
fumecheng-12969	364	43	pp	pp	PROPN
fumecheng-12969	364	44	.	.	PUNCT
fumecheng-12969	365	1	572	572	NUM
fumecheng-12969	365	2	-	-	SYM
fumecheng-12969	365	3	603	603	NUM
fumecheng-12969	365	4	.	.	PUNCT
fumecheng-12969	366	1	35	35	NUM
fumecheng-12969	366	2	.	.	PUNCT
fumecheng-12969	367	1	he	he	PRON
fumecheng-12969	367	2	,	,	PUNCT
fumecheng-12969	367	3	c.h	c.h	PROPN
fumecheng-12969	367	4	.	.	PROPN
fumecheng-12969	367	5	,	,	PUNCT
fumecheng-12969	367	6	amer	amer	PROPN
fumecheng-12969	367	7	,	,	PUNCT
fumecheng-12969	367	8	t.s	t.s	PROPN
fumecheng-12969	367	9	.	.	PROPN
fumecheng-12969	367	10	,	,	PUNCT
fumecheng-12969	367	11	tian	tian	PROPN
fumecheng-12969	367	12	,	,	PUNCT
fumecheng-12969	367	13	d.	d.	PROPN
fumecheng-12969	367	14	,	,	PUNCT
fumecheng-12969	367	15	abolila	abolila	PROPN
fumecheng-12969	367	16	,	,	PUNCT
fumecheng-12969	367	17	a.f	a.f	PROPN
fumecheng-12969	367	18	.	.	PROPN
fumecheng-12969	367	19	,	,	PUNCT
fumecheng-12969	367	20	galal	galal	PROPN
fumecheng-12969	367	21	,	,	PUNCT
fumecheng-12969	367	22	a.a	a.a	PROPN
fumecheng-12969	367	23	.	.	PROPN
fumecheng-12969	367	24	,	,	PUNCT
fumecheng-12969	367	25	2022	2022	NUM
fumecheng-12969	367	26	,	,	PUNCT
fumecheng-12969	367	27	controlling	control	VERB
fumecheng-12969	367	28	the	the	DET
fumecheng-12969	367	29	kinematics	kinematic	NOUN
fumecheng-12969	367	30	of	of	ADP
fumecheng-12969	367	31	a	a	DET
fumecheng-12969	367	32	spring	spring	NOUN
fumecheng-12969	367	33	-	-	PUNCT
fumecheng-12969	367	34	pendulum	pendulum	NOUN
fumecheng-12969	367	35	system	system	NOUN
fumecheng-12969	367	36	using	use	VERB
fumecheng-12969	367	37	an	an	DET
fumecheng-12969	367	38	energy	energy	NOUN
fumecheng-12969	367	39	harvesting	harvesting	NOUN
fumecheng-12969	367	40	device	device	NOUN
fumecheng-12969	367	41	,	,	PUNCT
fumecheng-12969	367	42	journal	journal	NOUN
fumecheng-12969	367	43	of	of	ADP
fumecheng-12969	367	44	low	low	ADJ
fumecheng-12969	367	45	frequency	frequency	NOUN
fumecheng-12969	367	46	noise	noise	NOUN
fumecheng-12969	367	47	,	,	PUNCT
fumecheng-12969	367	48	vibration	vibration	NOUN
fumecheng-12969	367	49	and	and	CCONJ
fumecheng-12969	367	50	active	active	ADJ
fumecheng-12969	367	51	control	control	NOUN
fumecheng-12969	367	52	,	,	PUNCT
fumecheng-12969	367	53	41(3	41(3	NUM
fumecheng-12969	367	54	)	)	PUNCT
fumecheng-12969	367	55	,	,	PUNCT
fumecheng-12969	367	56	pp	pp	PROPN
fumecheng-12969	367	57	.	.	PUNCT
fumecheng-12969	367	58	1234	1234	NUM
fumecheng-12969	367	59	-	-	SYM
fumecheng-12969	367	60	1257	1257	NUM
fumecheng-12969	367	61	.	.	PUNCT
fumecheng-12969	368	1	36	36	NUM
fumecheng-12969	368	2	.	.	PUNCT
fumecheng-12969	369	1	he	he	PRON
fumecheng-12969	369	2	,	,	PUNCT
fumecheng-12969	369	3	c.h	c.h	PROPN
fumecheng-12969	369	4	.	.	PROPN
fumecheng-12969	369	5	,	,	PUNCT
fumecheng-12969	369	6	tian	tian	PROPN
fumecheng-12969	369	7	,	,	PUNCT
fumecheng-12969	369	8	d.	d.	PROPN
fumecheng-12969	369	9	,	,	PUNCT
fumecheng-12969	369	10	moatimid	moatimid	PROPN
fumecheng-12969	369	11	,	,	PUNCT
fumecheng-12969	369	12	g.m	g.m	PROPN
fumecheng-12969	369	13	.	.	PROPN
fumecheng-12969	369	14	,	,	PUNCT
fumecheng-12969	369	15	salman	salman	PROPN
fumecheng-12969	369	16	,	,	PUNCT
fumecheng-12969	369	17	h.f	h.f	PROPN
fumecheng-12969	369	18	.	.	PROPN
fumecheng-12969	369	19	,	,	PUNCT
fumecheng-12969	369	20	zekry	zekry	PROPN
fumecheng-12969	369	21	,	,	PUNCT
fumecheng-12969	369	22	m.h	m.h	PROPN
fumecheng-12969	369	23	.	.	PROPN
fumecheng-12969	369	24	,	,	PUNCT
fumecheng-12969	369	25	2022	2022	NUM
fumecheng-12969	369	26	,	,	PUNCT
fumecheng-12969	369	27	hybrid	hybrid	ADJ
fumecheng-12969	369	28	rayleigh	rayleigh	PROPN
fumecheng-12969	369	29	-	-	PUNCT
fumecheng-12969	369	30	van	van	PROPN
fumecheng-12969	369	31	der	der	PROPN
fumecheng-12969	369	32	pol	pol	NOUN
fumecheng-12969	369	33	--	--	PUNCT
fumecheng-12969	369	34	duffing	duffe	VERB
fumecheng-12969	369	35	oscillator	oscillator	NOUN
fumecheng-12969	369	36	:	:	PUNCT
fumecheng-12969	369	37	stability	stability	NOUN
fumecheng-12969	369	38	analysis	analysis	NOUN
fumecheng-12969	369	39	and	and	CCONJ
fumecheng-12969	369	40	controller	controller	NOUN
fumecheng-12969	369	41	,	,	PUNCT
fumecheng-12969	369	42	journal	journal	NOUN
fumecheng-12969	369	43	of	of	ADP
fumecheng-12969	369	44	low	low	ADJ
fumecheng-12969	369	45	frequency	frequency	NOUN
fumecheng-12969	369	46	noise	noise	NOUN
fumecheng-12969	369	47	,	,	PUNCT
fumecheng-12969	369	48	vibration	vibration	NOUN
fumecheng-12969	369	49	and	and	CCONJ
fumecheng-12969	369	50	active	active	ADJ
fumecheng-12969	369	51	control	control	NOUN
fumecheng-12969	369	52	,	,	PUNCT
fumecheng-12969	369	53	41(1	41(1	NUM
fumecheng-12969	369	54	)	)	PUNCT
fumecheng-12969	369	55	,	,	PUNCT
fumecheng-12969	369	56	pp	pp	PROPN
fumecheng-12969	369	57	.	.	PUNCT
fumecheng-12969	370	1	244	244	NUM
fumecheng-12969	370	2	-	-	SYM
fumecheng-12969	370	3	268	268	NUM
fumecheng-12969	370	4	.	.	PUNCT
fumecheng-12969	371	1	https://doi.org/10.1002/mma.6583	https://doi.org/10.1002/mma.6583	PROPN
fumecheng-12969	371	2	688	688	NUM
fumecheng-12969	371	3	m.	m.	NOUN
fumecheng-12969	371	4	nadeem	nadeem	PROPN
fumecheng-12969	371	5	,	,	PUNCT
fumecheng-12969	371	6	q.-t	q.-t	NOUN
fumecheng-12969	371	7	.	.	PUNCT
fumecheng-12969	372	1	ain	ain	PROPN
fumecheng-12969	372	2	,	,	PUNCT
fumecheng-12969	372	3	n.	n.	PROPN
fumecheng-12969	372	4	almakayeel	almakayeel	PROPN
fumecheng-12969	372	5	,	,	PUNCT
fumecheng-12969	372	6	y.	y.	PROPN
fumecheng-12969	372	7	shao	shao	PROPN
fumecheng-12969	372	8	,	,	PUNCT
fumecheng-12969	372	9	s.	s.	PROPN
fumecheng-12969	372	10	wang	wang	PROPN
fumecheng-12969	372	11	,	,	PUNCT
fumecheng-12969	372	12	m.	m.	NOUN
fumecheng-12969	372	13	shutaywi	shutaywi	PROPN
fumecheng-12969	372	14	appendix	appendix	PROPN
fumecheng-12969	372	15	:	:	PUNCT
fumecheng-12969	372	16	the	the	DET
fumecheng-12969	372	17	components	component	NOUN
fumecheng-12969	372	18	defined	define	VERB
fumecheng-12969	372	19	by	by	ADP
fumecheng-12969	372	20	eq	eq	PROPN
fumecheng-12969	372	21	.	.	PUNCT
fumecheng-12969	372	22	(	(	PUNCT
fumecheng-12969	372	23	29	29	NUM
fumecheng-12969	372	24	)	)	PUNCT
fumecheng-12969	372	25	are	be	AUX
fumecheng-12969	372	26	obtained	obtain	VERB
fumecheng-12969	372	27	as	as	SCONJ
fumecheng-12969	372	28	follows	follow	VERB
fumecheng-12969	372	29	:	:	PUNCT
fumecheng-12969	372	30	1	1	NUM
fumecheng-12969	372	31	1	1	NUM
fumecheng-12969	372	32	1	1	NUM
fumecheng-12969	372	33	1	1	NUM
fumecheng-12969	372	34	1	1	NUM
fumecheng-12969	372	35	2	2	NUM
fumecheng-12969	372	36	3	3	NUM
fumecheng-12969	372	37	4	4	NUM
fumecheng-12969	372	38	5	5	NUM
fumecheng-12969	372	39	0	0	NUM
fumecheng-12969	372	40	1	1	NUM
fumecheng-12969	372	41	2	2	NUM
fumecheng-12969	372	42	3	3	NUM
fumecheng-12969	372	43	4	4	NUM
fumecheng-12969	372	44	0	0	NUM
fumecheng-12969	372	45	0	0	NUM
fumecheng-12969	372	46	0	0	NUM
fumecheng-12969	372	47	0	0	NUM
fumecheng-12969	372	48	0	0	NUM
fumecheng-12969	372	49	1	1	NUM
fumecheng-12969	372	50	1	1	NUM
fumecheng-12969	372	51	2	2	NUM
fumecheng-12969	372	52	2	2	NUM
fumecheng-12969	372	53	5	5	NUM
fumecheng-12969	372	54	6	6	NUM
fumecheng-12969	372	55	0	0	NUM
fumecheng-12969	372	56	0	0	NUM
fumecheng-12969	372	57	1	1	NUM
fumecheng-12969	372	58	1	1	NUM
fumecheng-12969	372	59	1	1	NUM
fumecheng-12969	372	60	3	3	NUM
fumecheng-12969	372	61	3	3	NUM
fumecheng-12969	372	62	2	2	NUM
fumecheng-12969	372	63	7	7	NUM
fumecheng-12969	372	64	0	0	NUM
fumecheng-12969	372	65	0	0	NUM
fumecheng-12969	372	66	0	0	NUM
fumecheng-12969	372	67	1	1	NUM
fumecheng-12969	372	68	1	1	NUM
fumecheng-12969	372	69	4	4	NUM
fumecheng-12969	372	70	4	4	NUM
fumecheng-12969	372	71	2	2	NUM
fumecheng-12969	372	72	8	8	NUM
fumecheng-12969	372	73	0	0	NUM
fumecheng-12969	372	74	0	0	NUM
fumecheng-12969	372	75	,	,	PUNCT
fumecheng-12969	372	76	3	3	NUM
fumecheng-12969	372	77	,	,	PUNCT
fumecheng-12969	372	78	3	3	NUM
fumecheng-12969	372	79	,	,	PUNCT
fumecheng-12969	372	80	,	,	PUNCT
fumecheng-12969	372	81	,	,	PUNCT
fumecheng-12969	372	82	(	(	PUNCT
fumecheng-12969	372	83	)	)	PUNCT
fumecheng-12969	372	84	,	,	PUNCT
fumecheng-12969	372	85	(	(	PUNCT
fumecheng-12969	372	86	3	3	NUM
fumecheng-12969	372	87	3	3	NUM
fumecheng-12969	372	88	)	)	PUNCT
fumecheng-12969	372	89	,	,	PUNCT
fumecheng-12969	372	90	(	(	PUNCT
fumecheng-12969	372	91	3	3	NUM
fumecheng-12969	372	92	3	3	NUM
fumecheng-12969	372	93	)	)	PUNCT
fumecheng-12969	372	94	,	,	PUNCT
fumecheng-12969	372	95	(	(	PUNCT
fumecheng-12969	372	96	)	)	PUNCT
fumecheng-12969	372	97	3	3	NUM
fumecheng-12969	372	98	=	=	SYM
fumecheng-12969	372	99			PROPN
fumecheng-12969	372	100	=	=	PUNCT
fumecheng-12969	372	101	−	−	PROPN
fumecheng-12969	373	1			PROPN
fumecheng-12969	373	2	=	=	SYM
fumecheng-12969	373	3			PROPN
fumecheng-12969	373	4	=	=	PUNCT
fumecheng-12969	373	5	−	−	PROPN
fumecheng-12969	374	1			PROPN
fumecheng-12969	374	2	=	=	PUNCT
fumecheng-12969	374	3	−	−	PROPN
fumecheng-12969	374	4			PROPN
fumecheng-12969	374	5			VERB
fumecheng-12969	374	6			PROPN
fumecheng-12969	374	7			X
fumecheng-12969	374	8	=	=	PROPN
fumecheng-12969	374	9			PROPN
fumecheng-12969	375	1	−	−	PROPN
fumecheng-12969	375	2			INTJ
fumecheng-12969	376	1	=	=	PUNCT
fumecheng-12969	376	2	−	−	PROPN
fumecheng-12969	376	3			PROPN
fumecheng-12969	376	4			PROPN
fumecheng-12969	376	5	+	+	CCONJ
fumecheng-12969	376	6			PROPN
fumecheng-12969	376	7			PROPN
fumecheng-12969	376	8			VERB
fumecheng-12969	376	9			PROPN
fumecheng-12969	376	10			ADV
fumecheng-12969	376	11	=	=	ADV
fumecheng-12969	376	12			PROPN
fumecheng-12969	376	13			PROPN
fumecheng-12969	376	14	−	−	PROPN
fumecheng-12969	376	15			PROPN
fumecheng-12969	376	16			PROPN
fumecheng-12969	376	17	−	−	PROPN
fumecheng-12969	376	18			PROPN
fumecheng-12969	377	1			PROPN
fumecheng-12969	377	2			VERB
fumecheng-12969	377	3			PROPN
fumecheng-12969	377	4	=	=	PROPN
fumecheng-12969	377	5	−	−	NUM
fumecheng-12969	377	6			PROPN
fumecheng-12969	377	7	+	+	CCONJ
fumecheng-12969	377	8			PROPN
fumecheng-12969	377	9			PROPN
fumecheng-12969	378	1	+	+	CCONJ
fumecheng-12969	378	2			PROPN
fumecheng-12969	378	3			PROPN
fumecheng-12969	378	4			X
fumecheng-12969	378	5			X
fumecheng-12969	378	6			X
fumecheng-12969	379	1			X
fumecheng-12969	379	2			X
fumecheng-12969	380	1			X
fumecheng-12969	380	2			X
fumecheng-12969	381	1			X
fumecheng-12969	381	2			X
fumecheng-12969	382	1			X
fumecheng-12969	382	2			X
fumecheng-12969	383	1			PUNCT
fumecheng-12969	383	2	q	q	PUNCT
fumecheng-12969	384	1	d	d	X
fumecheng-12969	384	2	q	q	X
fumecheng-12969	384	3	d	d	X
fumecheng-12969	384	4	q	q	X
fumecheng-12969	384	5	d	d	X
fumecheng-12969	384	6	q	q	X
fumecheng-12969	384	7	d	d	X
fumecheng-12969	384	8	q	q	X
fumecheng-12969	384	9	d	d	X
fumecheng-12969	384	10	q	q	NOUN
fumecheng-12969	384	11	n	n	PROPN
fumecheng-12969	384	12	d	d	NOUN
fumecheng-12969	384	13	q	q	PROPN
fumecheng-12969	384	14	n	n	PROPN
fumecheng-12969	384	15	d	d	NOUN
fumecheng-12969	384	16	q	q	NOUN
fumecheng-12969	384	17	n	n	PROPN
fumecheng-12969	385	1	d	d	NOUN
fumecheng-12969	385	2	d	d	PROPN
fumecheng-12969	385	3	d	d	X
fumecheng-12969	385	4	q	q	PROPN
fumecheng-12969	385	5	n	n	PROPN
fumecheng-12969	385	6	d	d	X
fumecheng-12969	385	7	d	d	PROPN
fumecheng-12969	385	8			ADJ
fumecheng-12969	385	9			ADJ
fumecheng-12969	385	10			ADJ
fumecheng-12969	385	11			ADJ
fumecheng-12969	385	12			ADJ
fumecheng-12969	385	13			ADJ
fumecheng-12969	385	14			ADJ
fumecheng-12969	385	15			ADJ
fumecheng-12969	385	16			ADJ
fumecheng-12969	385	17			NOUN
fumecheng-12969	385	18			ADJ
fumecheng-12969	385	19			ADJ
fumecheng-12969	385	20			ADJ
fumecheng-12969	385	21			NOUN
fumecheng-12969	385	22			ADJ
fumecheng-12969	385	23	1	1	NUM
fumecheng-12969	385	24	2	2	NUM
fumecheng-12969	385	25	0	0	NUM
fumecheng-12969	385	26	1	1	NUM
fumecheng-12969	385	27	1	1	NUM
fumecheng-12969	385	28	1	1	NUM
fumecheng-12969	385	29	1	1	NUM
fumecheng-12969	385	30	3	3	NUM
fumecheng-12969	385	31	2	2	NUM
fumecheng-12969	385	32	4	4	NUM
fumecheng-12969	385	33	2	2	NUM
fumecheng-12969	385	34	9	9	NUM
fumecheng-12969	385	35	10	10	NUM
fumecheng-12969	385	36	0	0	NUM
fumecheng-12969	385	37	0	0	NUM
fumecheng-12969	385	38	0	0	NUM
fumecheng-12969	385	39	0	0	NUM
fumecheng-12969	385	40	,	,	PUNCT
fumecheng-12969	385	41	3	3	NUM
fumecheng-12969	385	42	,	,	PUNCT
fumecheng-12969	385	43	.	.	PUNCT
fumecheng-12969	386	1			CCONJ
fumecheng-12969	386	2			PROPN
fumecheng-12969	386	3			CCONJ
fumecheng-12969	386	4			ADV
fumecheng-12969	386	5	=	=	PROPN
fumecheng-12969	386	6	−	−	PROPN
fumecheng-12969	386	7			PROPN
fumecheng-12969	386	8			PROPN
fumecheng-12969	386	9			PROPN
fumecheng-12969	386	10	=	=	PUNCT
fumecheng-12969	386	11			PROPN
fumecheng-12969	386	12			PROPN
fumecheng-12969	386	13			PROPN
fumecheng-12969	386	14			X
fumecheng-12969	386	15			X
fumecheng-12969	386	16			X
fumecheng-12969	386	17			X
fumecheng-12969	387	1			PUNCT
fumecheng-12969	388	1	d	d	X
fumecheng-12969	388	2	q	q	PUNCT
fumecheng-12969	389	1	d	d	X
fumecheng-12969	389	2	d	d	X
fumecheng-12969	389	3	q	q	X
fumecheng-12969	389	4	d	d	X
fumecheng-12969	389	5	d	d	X
fumecheng-12969	389	6			ADJ
fumecheng-12969	389	7			NOUN
fumecheng-12969	389	8			ADJ
fumecheng-12969	389	9			ADJ
fumecheng-12969	389	10			NOUN
fumecheng-12969	389	11			ADJ
fumecheng-12969	389	12			ADJ
fumecheng-12969	389	13	where	where	SCONJ
fumecheng-12969	389	14	ς(φ)=sin(πφ	ς(φ)=sin(πφ	NOUN
fumecheng-12969	389	15	)	)	PUNCT
fumecheng-12969	389	16	.	.	PUNCT