id	sid	tid	token	lemma	pos
fumecheng-12816	1	1	12816	12816	NUM
fumecheng-12816	1	2	facta	facta	PROPN
fumecheng-12816	1	3	universitatis	universitatis	PROPN
fumecheng-12816	1	4	series	series	NOUN
fumecheng-12816	1	5	:	:	PUNCT
fumecheng-12816	1	6	mechanical	mechanical	ADJ
fumecheng-12816	1	7	engineering	engineering	NOUN
fumecheng-12816	1	8	vol	vol	NOUN
fumecheng-12816	1	9	.	.	PUNCT
fumecheng-12816	1	10	22	22	NUM
fumecheng-12816	1	11	,	,	PUNCT
fumecheng-12816	1	12	no	no	DET
fumecheng-12816	1	13	2	2	NUM
fumecheng-12816	1	14	,	,	PUNCT
fumecheng-12816	1	15	2024	2024	NUM
fumecheng-12816	1	16	,	,	PUNCT
fumecheng-12816	1	17	pp	pp	ADV
fumecheng-12816	1	18	.	.	PUNCT
fumecheng-12816	2	1	187	187	NUM
fumecheng-12816	2	2	198	198	NUM
fumecheng-12816	2	3	https://doi.org/10.22190/fume240603034h	https://doi.org/10.22190/fume240603034h	PROPN
fumecheng-12816	2	4	©	©	PROPN
fumecheng-12816	2	5	2024	2024	NUM
fumecheng-12816	2	6	by	by	ADP
fumecheng-12816	2	7	university	university	PROPN
fumecheng-12816	2	8	of	of	ADP
fumecheng-12816	2	9	niš	niš	PROPN
fumecheng-12816	2	10	,	,	PUNCT
fumecheng-12816	2	11	serbia	serbia	PROPN
fumecheng-12816	2	12	|	|	ADV
fumecheng-12816	2	13	creative	creative	ADJ
fumecheng-12816	2	14	commons	common	NOUN
fumecheng-12816	2	15	license	license	NOUN
fumecheng-12816	2	16	:	:	PUNCT
fumecheng-12816	2	17	cc	cc	VERB
fumecheng-12816	2	18	by	by	ADP
fumecheng-12816	2	19	-	-	PUNCT
fumecheng-12816	2	20	nc	nc	VERB
fumecheng-12816	2	21	-	-	PUNCT
fumecheng-12816	2	22	nd	nd	ADV
fumecheng-12816	2	23	original	original	ADJ
fumecheng-12816	2	24	scientific	scientific	ADJ
fumecheng-12816	2	25	paper	paper	VERB
fumecheng-12816	2	26	periodic	periodic	ADJ
fumecheng-12816	2	27	solution	solution	NOUN
fumecheng-12816	2	28	of	of	ADP
fumecheng-12816	2	29	a	a	DET
fumecheng-12816	2	30	micro	micro	ADJ
fumecheng-12816	2	31	-	-	ADJ
fumecheng-12816	2	32	electromechanical	electromechanical	ADJ
fumecheng-12816	2	33	system	system	NOUN
fumecheng-12816	2	34	ji	ji	PROPN
fumecheng-12816	2	35	-	-	PROPN
fumecheng-12816	2	36	huan	huan	PROPN
fumecheng-12816	2	37	he1,2	he1,2	PROPN
fumecheng-12816	2	38	1school	1school	NUM
fumecheng-12816	2	39	of	of	ADP
fumecheng-12816	2	40	jia	jia	PROPN
fumecheng-12816	2	41	yang	yang	PROPN
fumecheng-12816	2	42	,	,	PUNCT
fumecheng-12816	2	43	zhejiang	zhejiang	PROPN
fumecheng-12816	2	44	shuren	shuren	PROPN
fumecheng-12816	2	45	university	university	PROPN
fumecheng-12816	2	46	,	,	PUNCT
fumecheng-12816	2	47	hangzhou	hangzhou	PROPN
fumecheng-12816	2	48	,	,	PUNCT
fumecheng-12816	2	49	zhejiang	zhejiang	PROPN
fumecheng-12816	2	50	,	,	PUNCT
fumecheng-12816	2	51	china	china	PROPN
fumecheng-12816	2	52	2national	2national	NUM
fumecheng-12816	2	53	engineering	engineering	NOUN
fumecheng-12816	2	54	laboratory	laboratory	NOUN
fumecheng-12816	2	55	for	for	ADP
fumecheng-12816	2	56	modern	modern	ADJ
fumecheng-12816	2	57	silk	silk	NOUN
fumecheng-12816	2	58	,	,	PUNCT
fumecheng-12816	2	59	college	college	NOUN
fumecheng-12816	2	60	of	of	ADP
fumecheng-12816	2	61	textile	textile	NOUN
fumecheng-12816	2	62	and	and	CCONJ
fumecheng-12816	2	63	clothing	clothing	NOUN
fumecheng-12816	2	64	engineering	engineering	NOUN
fumecheng-12816	2	65	,	,	PUNCT
fumecheng-12816	2	66	soochow	soochow	PROPN
fumecheng-12816	2	67	university	university	PROPN
fumecheng-12816	2	68	,	,	PUNCT
fumecheng-12816	2	69	suzhou	suzhou	PROPN
fumecheng-12816	2	70	,	,	PUNCT
fumecheng-12816	2	71	china	china	PROPN
fumecheng-12816	2	72	orcid	orcid	PROPN
fumecheng-12816	3	1	i	i	PROPN
fumecheng-12816	3	2	d	d	PROPN
fumecheng-12816	3	3	:	:	PUNCT
fumecheng-12816	3	4	ji	ji	PROPN
fumecheng-12816	3	5	-	-	PROPN
fumecheng-12816	3	6	huan	huan	PROPN
fumecheng-12816	3	7	he	he	PRON
fumecheng-12816	3	8	https://orcid.org/0000-0002-1636-0559	https://orcid.org/0000-0002-1636-0559	VERB
fumecheng-12816	3	9	abstract	abstract	ADV
fumecheng-12816	3	10	.	.	PUNCT
fumecheng-12816	4	1	this	this	DET
fumecheng-12816	4	2	paper	paper	NOUN
fumecheng-12816	4	3	examines	examine	VERB
fumecheng-12816	4	4	the	the	DET
fumecheng-12816	4	5	periodic	periodic	ADJ
fumecheng-12816	4	6	motion	motion	NOUN
fumecheng-12816	4	7	of	of	ADP
fumecheng-12816	4	8	the	the	DET
fumecheng-12816	4	9	micro	micro	ADJ
fumecheng-12816	4	10	-	-	ADJ
fumecheng-12816	4	11	electro	electro	ADJ
fumecheng-12816	4	12	-	-	PUNCT
fumecheng-12816	4	13	mechanical	mechanical	ADJ
fumecheng-12816	4	14	system	system	NOUN
fumecheng-12816	4	15	(	(	PUNCT
fumecheng-12816	4	16	mems	mems	PROPN
fumecheng-12816	4	17	)	)	PUNCT
fumecheng-12816	4	18	,	,	PUNCT
fumecheng-12816	4	19	which	which	PRON
fumecheng-12816	4	20	is	be	AUX
fumecheng-12816	4	21	governed	govern	VERB
fumecheng-12816	4	22	by	by	ADP
fumecheng-12816	4	23	a	a	DET
fumecheng-12816	4	24	singularity	singularity	NOUN
fumecheng-12816	4	25	that	that	PRON
fumecheng-12816	4	26	makes	make	VERB
fumecheng-12816	4	27	it	it	PRON
fumecheng-12816	4	28	challenging	challenging	ADJ
fumecheng-12816	4	29	to	to	PART
fumecheng-12816	4	30	find	find	VERB
fumecheng-12816	4	31	an	an	DET
fumecheng-12816	4	32	exact	exact	ADJ
fumecheng-12816	4	33	solution	solution	NOUN
fumecheng-12816	4	34	and	and	CCONJ
fumecheng-12816	4	35	to	to	PART
fumecheng-12816	4	36	understand	understand	VERB
fumecheng-12816	4	37	its	its	PRON
fumecheng-12816	4	38	dynamical	dynamical	ADJ
fumecheng-12816	4	39	properties	property	NOUN
fumecheng-12816	4	40	.	.	PUNCT
fumecheng-12816	5	1	this	this	DET
fumecheng-12816	5	2	paper	paper	NOUN
fumecheng-12816	5	3	applies	apply	VERB
fumecheng-12816	5	4	the	the	DET
fumecheng-12816	5	5	frequency	frequency	NOUN
fumecheng-12816	5	6	formulation	formulation	NOUN
fumecheng-12816	5	7	to	to	PART
fumecheng-12816	5	8	gain	gain	VERB
fumecheng-12816	5	9	insight	insight	NOUN
fumecheng-12816	5	10	into	into	ADP
fumecheng-12816	5	11	the	the	DET
fumecheng-12816	5	12	frequency	frequency	NOUN
fumecheng-12816	5	13	-	-	PUNCT
fumecheng-12816	5	14	amplitude	amplitude	NOUN
fumecheng-12816	5	15	relationship	relationship	NOUN
fumecheng-12816	5	16	of	of	ADP
fumecheng-12816	5	17	the	the	DET
fumecheng-12816	5	18	system	system	NOUN
fumecheng-12816	5	19	.	.	PUNCT
fumecheng-12816	6	1	it	it	PRON
fumecheng-12816	6	2	is	be	AUX
fumecheng-12816	6	3	found	find	VERB
fumecheng-12816	6	4	that	that	SCONJ
fumecheng-12816	6	5	when	when	SCONJ
fumecheng-12816	6	6	the	the	DET
fumecheng-12816	6	7	amplitude	amplitude	NOUN
fumecheng-12816	6	8	reaches	reach	VERB
fumecheng-12816	6	9	a	a	DET
fumecheng-12816	6	10	threshold	threshold	NOUN
fumecheng-12816	6	11	value	value	NOUN
fumecheng-12816	6	12	,	,	PUNCT
fumecheng-12816	6	13	the	the	DET
fumecheng-12816	6	14	periodic	periodic	ADJ
fumecheng-12816	6	15	motion	motion	NOUN
fumecheng-12816	6	16	becomes	become	VERB
fumecheng-12816	6	17	pull	pull	NOUN
fumecheng-12816	6	18	-	-	PUNCT
fumecheng-12816	6	19	in	in	ADP
fumecheng-12816	6	20	instability	instability	NOUN
fumecheng-12816	6	21	.	.	PUNCT
fumecheng-12816	7	1	this	this	DET
fumecheng-12816	7	2	finding	finding	NOUN
fumecheng-12816	7	3	simplifies	simplify	VERB
fumecheng-12816	7	4	the	the	DET
fumecheng-12816	7	5	warning	warning	NOUN
fumecheng-12816	7	6	system	system	NOUN
fumecheng-12816	7	7	for	for	ADP
fumecheng-12816	7	8	the	the	DET
fumecheng-12816	7	9	system	system	NOUN
fumecheng-12816	7	10	’s	’s	PART
fumecheng-12816	7	11	unsafe	unsafe	ADJ
fumecheng-12816	7	12	operating	operating	NOUN
fumecheng-12816	7	13	conditions	condition	NOUN
fumecheng-12816	7	14	,	,	PUNCT
fumecheng-12816	7	15	and	and	CCONJ
fumecheng-12816	7	16	the	the	DET
fumecheng-12816	7	17	frequency	frequency	NOUN
fumecheng-12816	7	18	-	-	PUNCT
fumecheng-12816	7	19	amplitude	amplitude	NOUN
fumecheng-12816	7	20	relationship	relationship	NOUN
fumecheng-12816	7	21	can	can	AUX
fumecheng-12816	7	22	be	be	AUX
fumecheng-12816	7	23	used	use	VERB
fumecheng-12816	7	24	for	for	ADP
fumecheng-12816	7	25	optimal	optimal	ADJ
fumecheng-12816	7	26	design	design	NOUN
fumecheng-12816	7	27	of	of	ADP
fumecheng-12816	7	28	the	the	DET
fumecheng-12816	7	29	system	system	NOUN
fumecheng-12816	7	30	with	with	ADP
fumecheng-12816	7	31	high	high	ADJ
fumecheng-12816	7	32	accuracy	accuracy	NOUN
fumecheng-12816	7	33	and	and	CCONJ
fumecheng-12816	7	34	high	high	ADJ
fumecheng-12816	7	35	reliability	reliability	NOUN
fumecheng-12816	7	36	.	.	PUNCT
fumecheng-12816	8	1	key	key	ADJ
fumecheng-12816	8	2	words	word	NOUN
fumecheng-12816	8	3	:	:	PUNCT
fumecheng-12816	8	4	mems	mem	NOUN
fumecheng-12816	8	5	systems	system	NOUN
fumecheng-12816	8	6	,	,	PUNCT
fumecheng-12816	8	7	variational	variational	ADJ
fumecheng-12816	8	8	theory	theory	NOUN
fumecheng-12816	8	9	,	,	PUNCT
fumecheng-12816	8	10	nonlinear	nonlinear	ADJ
fumecheng-12816	8	11	oscillator	oscillator	NOUN
fumecheng-12816	8	12	1	1	NUM
fumecheng-12816	8	13	.	.	PUNCT
fumecheng-12816	9	1	introduction	introduction	NOUN
fumecheng-12816	9	2	micro	micro	PROPN
fumecheng-12816	9	3	-	-	ADJ
fumecheng-12816	9	4	electro	electro	ADJ
fumecheng-12816	9	5	-	-	PUNCT
fumecheng-12816	9	6	mechanical	mechanical	ADJ
fumecheng-12816	9	7	systems	system	NOUN
fumecheng-12816	9	8	(	(	PUNCT
fumecheng-12816	9	9	mems	mem	NOUN
fumecheng-12816	9	10	)	)	PUNCT
fumecheng-12816	9	11	have	have	AUX
fumecheng-12816	9	12	been	be	AUX
fumecheng-12816	9	13	a	a	DET
fumecheng-12816	9	14	driving	drive	VERB
fumecheng-12816	9	15	force	force	NOUN
fumecheng-12816	9	16	in	in	ADP
fumecheng-12816	9	17	the	the	DET
fumecheng-12816	9	18	technological	technological	ADJ
fumecheng-12816	9	19	revolution	revolution	NOUN
fumecheng-12816	9	20	.	.	PUNCT
fumecheng-12816	10	1	they	they	PRON
fumecheng-12816	10	2	are	be	AUX
fumecheng-12816	10	3	employed	employ	VERB
fumecheng-12816	10	4	in	in	ADP
fumecheng-12816	10	5	a	a	DET
fumecheng-12816	10	6	multitude	multitude	NOUN
fumecheng-12816	10	7	of	of	ADP
fumecheng-12816	10	8	cutting	cut	VERB
fumecheng-12816	10	9	-	-	PUNCT
fumecheng-12816	10	10	edge	edge	NOUN
fumecheng-12816	10	11	applications	application	NOUN
fumecheng-12816	10	12	,	,	PUNCT
fumecheng-12816	10	13	including	include	VERB
fumecheng-12816	10	14	fifthgeneration	fifthgeneration	NOUN
fumecheng-12816	10	15	(	(	PUNCT
fumecheng-12816	10	16	5	5	NUM
fumecheng-12816	10	17	g	g	NOUN
fumecheng-12816	10	18	)	)	PUNCT
fumecheng-12816	10	19	mobile	mobile	NOUN
fumecheng-12816	10	20	networks	network	NOUN
fumecheng-12816	10	21	[	[	X
fumecheng-12816	10	22	1	1	NUM
fumecheng-12816	10	23	]	]	PUNCT
fumecheng-12816	10	24	,	,	PUNCT
fumecheng-12816	10	25	chips	chip	NOUN
fumecheng-12816	10	26	[	[	X
fumecheng-12816	10	27	2	2	NUM
fumecheng-12816	10	28	]	]	PUNCT
fumecheng-12816	10	29	,	,	PUNCT
fumecheng-12816	10	30	ultra	ultra	ADJ
fumecheng-12816	10	31	-	-	ADJ
fumecheng-12816	10	32	sensitive	sensitive	ADJ
fumecheng-12816	10	33	sensors	sensor	NOUN
fumecheng-12816	10	34	[	[	X
fumecheng-12816	10	35	3	3	NUM
fumecheng-12816	10	36	]	]	PUNCT
fumecheng-12816	10	37	,	,	PUNCT
fumecheng-12816	10	38	robots	robot	NOUN
fumecheng-12816	10	39	[	[	X
fumecheng-12816	10	40	4	4	NUM
fumecheng-12816	10	41	]	]	PUNCT
fumecheng-12816	10	42	,	,	PUNCT
fumecheng-12816	11	1	tsunami	tsunami	NOUN
fumecheng-12816	11	2	monitoring	monitor	VERB
fumecheng-12816	11	3	[	[	X
fumecheng-12816	11	4	5	5	NUM
fumecheng-12816	11	5	]	]	PUNCT
fumecheng-12816	11	6	and	and	CCONJ
fumecheng-12816	11	7	wearable	wearable	ADJ
fumecheng-12816	11	8	smart	smart	ADJ
fumecheng-12816	11	9	fabrics	fabric	NOUN
fumecheng-12816	11	10	[	[	X
fumecheng-12816	11	11	6,7	6,7	NUM
fumecheng-12816	11	12	]	]	PUNCT
fumecheng-12816	11	13	.	.	PUNCT
fumecheng-12816	12	1	this	this	PRON
fumecheng-12816	12	2	is	be	AUX
fumecheng-12816	12	3	due	due	ADJ
fumecheng-12816	12	4	to	to	ADP
fumecheng-12816	12	5	their	their	PRON
fumecheng-12816	12	6	extremely	extremely	ADV
fumecheng-12816	12	7	simple	simple	ADJ
fumecheng-12816	12	8	structure	structure	NOUN
fumecheng-12816	12	9	,	,	PUNCT
fumecheng-12816	12	10	ultra	ultra	ADJ
fumecheng-12816	12	11	-	-	ADJ
fumecheng-12816	12	12	finely	finely	ADV
fumecheng-12816	12	13	diminutive	diminutive	ADJ
fumecheng-12816	12	14	size	size	NOUN
fumecheng-12816	12	15	,	,	PUNCT
fumecheng-12816	12	16	ultra	ultra	ADJ
fumecheng-12816	12	17	-	-	ADJ
fumecheng-12816	12	18	light	light	ADJ
fumecheng-12816	12	19	weight	weight	NOUN
fumecheng-12816	12	20	,	,	PUNCT
fumecheng-12816	12	21	minimal	minimal	ADJ
fumecheng-12816	12	22	energy	energy	NOUN
fumecheng-12816	12	23	consumption	consumption	NOUN
fumecheng-12816	12	24	,	,	PUNCT
fumecheng-12816	12	25	tremendously	tremendously	ADV
fumecheng-12816	12	26	high	high	ADJ
fumecheng-12816	12	27	reliability	reliability	NOUN
fumecheng-12816	12	28	,	,	PUNCT
fumecheng-12816	12	29	and	and	CCONJ
fumecheng-12816	12	30	enormously	enormously	ADV
fumecheng-12816	12	31	low	low	ADJ
fumecheng-12816	12	32	cost	cost	NOUN
fumecheng-12816	12	33	.	.	PUNCT
fumecheng-12816	13	1	the	the	DET
fumecheng-12816	13	2	mems	mem	NOUN
fumecheng-12816	13	3	system	system	NOUN
fumecheng-12816	13	4	is	be	AUX
fumecheng-12816	13	5	generally	generally	ADV
fumecheng-12816	13	6	open	open	ADJ
fumecheng-12816	13	7	periodically	periodically	ADV
fumecheng-12816	13	8	.	.	PUNCT
fumecheng-12816	14	1	however	however	ADV
fumecheng-12816	14	2	,	,	PUNCT
fumecheng-12816	14	3	when	when	SCONJ
fumecheng-12816	14	4	the	the	DET
fumecheng-12816	14	5	applied	apply	VERB
fumecheng-12816	14	6	voltage	voltage	NOUN
fumecheng-12816	14	7	exceeds	exceed	VERB
fumecheng-12816	14	8	a	a	DET
fumecheng-12816	14	9	specified	specify	VERB
fumecheng-12816	14	10	threshold	threshold	NOUN
fumecheng-12816	14	11	value	value	NOUN
fumecheng-12816	14	12	,	,	PUNCT
fumecheng-12816	14	13	the	the	DET
fumecheng-12816	14	14	pull	pull	NOUN
fumecheng-12816	14	15	-	-	PUNCT
fumecheng-12816	14	16	in	in	ADP
fumecheng-12816	14	17	instability	instability	NOUN
fumecheng-12816	14	18	occurs	occur	VERB
fumecheng-12816	14	19	,	,	PUNCT
fumecheng-12816	14	20	resulting	result	VERB
fumecheng-12816	14	21	in	in	ADP
fumecheng-12816	14	22	system	system	NOUN
fumecheng-12816	14	23	failure	failure	NOUN
fumecheng-12816	14	24	.	.	PUNCT
fumecheng-12816	15	1	a	a	DET
fumecheng-12816	15	2	substantial	substantial	ADJ
fumecheng-12816	15	3	body	body	NOUN
fumecheng-12816	15	4	of	of	ADP
fumecheng-12816	15	5	literature	literature	NOUN
fumecheng-12816	15	6	exists	exist	VERB
fumecheng-12816	15	7	on	on	ADP
fumecheng-12816	15	8	the	the	DET
fumecheng-12816	15	9	subject	subject	NOUN
fumecheng-12816	15	10	of	of	ADP
fumecheng-12816	15	11	pull	pull	NOUN
fumecheng-12816	15	12	-	-	PUNCT
fumecheng-12816	15	13	in	in	ADP
fumecheng-12816	15	14	instability	instability	NOUN
fumecheng-12816	15	15	.	.	PUNCT
fumecheng-12816	16	1	mikhasev	mikhasev	NOUN
fumecheng-12816	16	2	,	,	PUNCT
fumecheng-12816	16	3	et	et	PROPN
fumecheng-12816	16	4	al	al	PROPN
fumecheng-12816	16	5	.	.	PROPN
fumecheng-12816	16	6	studied	study	VERB
fumecheng-12816	16	7	pull	pull	NOUN
fumecheng-12816	16	8	-	-	PUNCT
fumecheng-12816	16	9	in	in	ADP
fumecheng-12816	16	10	instability	instability	NOUN
fumecheng-12816	16	11	of	of	ADP
fumecheng-12816	16	12	carbon	carbon	NOUN
fumecheng-12816	16	13	nanotube	nanotube	NOUN
fumecheng-12816	16	14	nano	nano	NOUN
fumecheng-12816	16	15	-	-	PUNCT
fumecheng-12816	16	16	tweezers	tweezer	NOUN
fumecheng-12816	16	17	[	[	X
fumecheng-12816	16	18	8	8	NUM
fumecheng-12816	16	19	]	]	PUNCT
fumecheng-12816	16	20	,	,	PUNCT
fumecheng-12816	16	21	tian	tian	ADJ
fumecheng-12816	16	22	and	and	CCONJ
fumecheng-12816	16	23	her	her	PRON
fumecheng-12816	16	24	colleagues	colleague	NOUN
fumecheng-12816	17	1	[	[	X
fumecheng-12816	17	2	9	9	NUM
fumecheng-12816	17	3	]	]	PUNCT
fumecheng-12816	17	4	suggested	suggest	VERB
fumecheng-12816	17	5	a	a	DET
fumecheng-12816	17	6	new	new	ADJ
fumecheng-12816	17	7	mathematics	mathematic	NOUN
fumecheng-12816	17	8	concept	concept	NOUN
fumecheng-12816	17	9	that	that	PRON
fumecheng-12816	17	10	can	can	AUX
fumecheng-12816	17	11	control	control	VERB
fumecheng-12816	17	12	the	the	DET
fumecheng-12816	17	13	pull	pull	VERB
fumecheng-12816	17	14	-	-	PUNCT
fumecheng-12816	17	15	in	in	ADP
fumecheng-12816	17	16	instability	instability	NOUN
fumecheng-12816	17	17	,	,	PUNCT
fumecheng-12816	17	18	and	and	CCONJ
fumecheng-12816	17	19	yang	yang	PROPN
fumecheng-12816	17	20	found	find	VERB
fumecheng-12816	17	21	the	the	DET
fumecheng-12816	17	22	pseudo	pseudo	NOUN
fumecheng-12816	17	23	-	-	ADJ
fumecheng-12816	17	24	pull	pull	NOUN
fumecheng-12816	17	25	-	-	PUNCT
fumecheng-12816	17	26	in	in	ADP
fumecheng-12816	17	27	stability	stability	NOUN
fumecheng-12816	17	28	[	[	X
fumecheng-12816	17	29	10	10	NUM
fumecheng-12816	17	30	]	]	PUNCT
fumecheng-12816	17	31	.	.	PUNCT
fumecheng-12816	18	1	received	receive	VERB
fumecheng-12816	18	2	:	:	PUNCT
fumecheng-12816	18	3	june	june	PROPN
fumecheng-12816	18	4	03	03	NUM
fumecheng-12816	18	5	,	,	PUNCT
fumecheng-12816	18	6	2024	2024	NUM
fumecheng-12816	18	7	/	/	SYM
fumecheng-12816	18	8	accepted	accept	VERB
fumecheng-12816	18	9	july	july	PROPN
fumecheng-12816	18	10	07	07	NUM
fumecheng-12816	18	11	,	,	PUNCT
fumecheng-12816	18	12	2024	2024	NUM
fumecheng-12816	18	13	corresponding	correspond	VERB
fumecheng-12816	18	14	author	author	NOUN
fumecheng-12816	18	15	:	:	PUNCT
fumecheng-12816	18	16	ji	ji	PROPN
fumecheng-12816	18	17	-	-	PROPN
fumecheng-12816	18	18	huan	huan	PROPN
fumecheng-12816	18	19	he	he	PRON
fumecheng-12816	18	20	school	school	PROPN
fumecheng-12816	18	21	of	of	ADP
fumecheng-12816	18	22	jia	jia	PROPN
fumecheng-12816	18	23	yang	yang	PROPN
fumecheng-12816	18	24	,	,	PUNCT
fumecheng-12816	18	25	zhejiang	zhejiang	PROPN
fumecheng-12816	18	26	shuren	shuren	PROPN
fumecheng-12816	18	27	university	university	PROPN
fumecheng-12816	18	28	,	,	PUNCT
fumecheng-12816	18	29	hangzhou	hangzhou	PROPN
fumecheng-12816	18	30	,	,	PUNCT
fumecheng-12816	18	31	zhejiang	zhejiang	PROPN
fumecheng-12816	18	32	e	e	PROPN
fumecheng-12816	18	33	-	-	NOUN
fumecheng-12816	18	34	mail	mail	NOUN
fumecheng-12816	18	35	:	:	PUNCT
fumecheng-12816	18	36	hejihuan@suda.edu.cn	hejihuan@suda.edu.cn	NOUN
fumecheng-12816	18	37	https://orcid.org/0000-0002-1636-0559	https://orcid.org/0000-0002-1636-0559	VERB
fumecheng-12816	18	38	188	188	NUM
fumecheng-12816	18	39	j.-h	j.-h	NOUN
fumecheng-12816	18	40	.	.	PUNCT
fumecheng-12816	19	1	he	he	PRON
fumecheng-12816	19	2	when	when	SCONJ
fumecheng-12816	19	3	the	the	DET
fumecheng-12816	19	4	system	system	NOUN
fumecheng-12816	19	5	opens	open	VERB
fumecheng-12816	19	6	near	near	ADP
fumecheng-12816	19	7	the	the	DET
fumecheng-12816	19	8	pull	pull	VERB
fumecheng-12816	19	9	-	-	PUNCT
fumecheng-12816	19	10	in	in	ADP
fumecheng-12816	19	11	voltage	voltage	NOUN
fumecheng-12816	19	12	,	,	PUNCT
fumecheng-12816	19	13	any	any	DET
fumecheng-12816	19	14	minor	minor	ADJ
fumecheng-12816	19	15	environmental	environmental	ADJ
fumecheng-12816	19	16	change	change	NOUN
fumecheng-12816	19	17	may	may	AUX
fumecheng-12816	19	18	result	result	VERB
fumecheng-12816	19	19	in	in	ADP
fumecheng-12816	19	20	a	a	DET
fumecheng-12816	19	21	significant	significant	ADJ
fumecheng-12816	19	22	shift	shift	NOUN
fumecheng-12816	19	23	from	from	ADP
fumecheng-12816	19	24	normal	normal	ADJ
fumecheng-12816	19	25	periodic	periodic	ADJ
fumecheng-12816	19	26	motion	motion	NOUN
fumecheng-12816	19	27	to	to	PART
fumecheng-12816	19	28	pull	pull	VERB
fumecheng-12816	19	29	-	-	PUNCT
fumecheng-12816	19	30	in	in	ADP
fumecheng-12816	19	31	motion	motion	NOUN
fumecheng-12816	19	32	.	.	PUNCT
fumecheng-12816	20	1	this	this	DET
fumecheng-12816	20	2	property	property	NOUN
fumecheng-12816	20	3	is	be	AUX
fumecheng-12816	20	4	widely	widely	ADV
fumecheng-12816	20	5	used	use	VERB
fumecheng-12816	20	6	for	for	ADP
fumecheng-12816	20	7	ultrasensitive	ultrasensitive	ADJ
fumecheng-12816	20	8	mems	mem	NOUN
fumecheng-12816	20	9	-	-	PUNCT
fumecheng-12816	20	10	based	base	VERB
fumecheng-12816	20	11	sensors	sensor	NOUN
fumecheng-12816	20	12	,	,	PUNCT
fumecheng-12816	20	13	which	which	PRON
fumecheng-12816	20	14	are	be	AUX
fumecheng-12816	20	15	sensitive	sensitive	ADJ
fumecheng-12816	20	16	to	to	ADP
fumecheng-12816	20	17	even	even	ADV
fumecheng-12816	20	18	a	a	DET
fumecheng-12816	20	19	small	small	ADJ
fumecheng-12816	20	20	number	number	NOUN
fumecheng-12816	20	21	of	of	ADP
fumecheng-12816	20	22	nanoparticles	nanoparticle	NOUN
fumecheng-12816	20	23	in	in	ADP
fumecheng-12816	20	24	air	air	NOUN
fumecheng-12816	20	25	,	,	PUNCT
fumecheng-12816	20	26	or	or	CCONJ
fumecheng-12816	20	27	viruses	virus	NOUN
fumecheng-12816	20	28	in	in	ADP
fumecheng-12816	20	29	a	a	DET
fumecheng-12816	20	30	room	room	NOUN
fumecheng-12816	20	31	,	,	PUNCT
fumecheng-12816	20	32	or	or	CCONJ
fumecheng-12816	20	33	even	even	ADV
fumecheng-12816	20	34	minor	minor	ADJ
fumecheng-12816	20	35	environmental	environmental	ADJ
fumecheng-12816	20	36	changes	change	NOUN
fumecheng-12816	20	37	in	in	ADP
fumecheng-12816	20	38	,	,	PUNCT
fumecheng-12816	20	39	e.g.	e.g.	ADV
fumecheng-12816	20	40	,	,	PUNCT
fumecheng-12816	20	41	air	air	NOUN
fumecheng-12816	20	42	velocity	velocity	NOUN
fumecheng-12816	20	43	,	,	PUNCT
fumecheng-12816	20	44	air	air	NOUN
fumecheng-12816	20	45	pressure	pressure	NOUN
fumecheng-12816	20	46	,	,	PUNCT
fumecheng-12816	20	47	poisonous	poisonous	ADJ
fumecheng-12816	20	48	gases	gas	NOUN
fumecheng-12816	20	49	,	,	PUNCT
fumecheng-12816	20	50	and	and	CCONJ
fumecheng-12816	20	51	gravity	gravity	NOUN
fumecheng-12816	20	52	[	[	X
fumecheng-12816	20	53	3	3	NUM
fumecheng-12816	20	54	]	]	PUNCT
fumecheng-12816	20	55	.	.	PUNCT
fumecheng-12816	21	1	it	it	PRON
fumecheng-12816	21	2	can	can	AUX
fumecheng-12816	21	3	monitor	monitor	VERB
fumecheng-12816	21	4	precisely	precisely	ADV
fumecheng-12816	21	5	the	the	DET
fumecheng-12816	21	6	propagation	propagation	NOUN
fumecheng-12816	21	7	of	of	ADP
fumecheng-12816	21	8	a	a	DET
fumecheng-12816	21	9	nano	nano	NOUN
fumecheng-12816	21	10	-	-	PUNCT
fumecheng-12816	21	11	crack	crack	NOUN
fumecheng-12816	21	12	,	,	PUNCT
fumecheng-12816	21	13	ground	ground	NOUN
fumecheng-12816	21	14	subsidence	subsidence	NOUN
fumecheng-12816	21	15	,	,	PUNCT
fumecheng-12816	21	16	the	the	DET
fumecheng-12816	21	17	terrestrial	terrestrial	ADJ
fumecheng-12816	21	18	plate	plate	NOUN
fumecheng-12816	21	19	motion	motion	NOUN
fumecheng-12816	21	20	before	before	ADP
fumecheng-12816	21	21	an	an	DET
fumecheng-12816	21	22	earthquake	earthquake	NOUN
fumecheng-12816	21	23	,	,	PUNCT
fumecheng-12816	21	24	and	and	CCONJ
fumecheng-12816	21	25	other	other	ADJ
fumecheng-12816	21	26	advanced	advanced	ADJ
fumecheng-12816	21	27	applications	application	NOUN
fumecheng-12816	21	28	,	,	PUNCT
fumecheng-12816	21	29	for	for	ADP
fumecheng-12816	21	30	examples	example	NOUN
fumecheng-12816	21	31	,	,	PUNCT
fumecheng-12816	21	32	gas	gas	NOUN
fumecheng-12816	21	33	sensors	sensor	NOUN
fumecheng-12816	21	34	[	[	X
fumecheng-12816	21	35	11	11	NUM
fumecheng-12816	21	36	]	]	PUNCT
fumecheng-12816	21	37	,	,	PUNCT
fumecheng-12816	21	38	microphones	microphone	VERB
fumecheng-12816	21	39	[	[	PUNCT
fumecheng-12816	21	40	12	12	NUM
fumecheng-12816	21	41	]	]	PUNCT
fumecheng-12816	21	42	,	,	PUNCT
fumecheng-12816	21	43	biosensors	biosensor	NOUN
fumecheng-12816	21	44	[	[	PUNCT
fumecheng-12816	21	45	13	13	NUM
fumecheng-12816	21	46	]	]	PUNCT
fumecheng-12816	21	47	,	,	PUNCT
fumecheng-12816	21	48	micro	micro	NOUN
fumecheng-12816	21	49	-	-	NOUN
fumecheng-12816	21	50	coils	coil	NOUN
fumecheng-12816	21	51	[	[	X
fumecheng-12816	21	52	14	14	NUM
fumecheng-12816	21	53	]	]	PUNCT
fumecheng-12816	21	54	,	,	PUNCT
fumecheng-12816	21	55	odorant	odorant	ADJ
fumecheng-12816	21	56	sensors	sensor	NOUN
fumecheng-12816	21	57	[	[	X
fumecheng-12816	21	58	15	15	NUM
fumecheng-12816	21	59	]	]	PUNCT
fumecheng-12816	21	60	,	,	PUNCT
fumecheng-12816	21	61	ocean	ocean	NOUN
fumecheng-12816	21	62	physics	physics	NOUN
fumecheng-12816	22	1	[	[	X
fumecheng-12816	22	2	16	16	NUM
fumecheng-12816	22	3	]	]	PUNCT
fumecheng-12816	22	4	and	and	CCONJ
fumecheng-12816	22	5	monitoring	monitor	VERB
fumecheng-12816	22	6	systems	system	NOUN
fumecheng-12816	22	7	[	[	X
fumecheng-12816	22	8	17	17	NUM
fumecheng-12816	22	9	]	]	PUNCT
fumecheng-12816	22	10	.	.	PUNCT
fumecheng-12816	23	1	it	it	PRON
fumecheng-12816	23	2	is	be	AUX
fumecheng-12816	23	3	therefore	therefore	ADV
fumecheng-12816	23	4	crucial	crucial	ADJ
fumecheng-12816	23	5	to	to	PART
fumecheng-12816	23	6	elucidate	elucidate	VERB
fumecheng-12816	23	7	its	its	PRON
fumecheng-12816	23	8	dynamical	dynamical	ADJ
fumecheng-12816	23	9	properties	property	NOUN
fumecheng-12816	23	10	prior	prior	ADV
fumecheng-12816	23	11	to	to	ADP
fumecheng-12816	23	12	the	the	DET
fumecheng-12816	23	13	onset	onset	NOUN
fumecheng-12816	23	14	of	of	ADP
fumecheng-12816	23	15	pull	pull	NOUN
fumecheng-12816	23	16	-	-	PUNCT
fumecheng-12816	23	17	in	in	ADP
fumecheng-12816	23	18	motion	motion	NOUN
fumecheng-12816	23	19	.	.	PUNCT
fumecheng-12816	24	1	this	this	DET
fumecheng-12816	24	2	paper	paper	NOUN
fumecheng-12816	24	3	will	will	AUX
fumecheng-12816	24	4	now	now	ADV
fumecheng-12816	24	5	turn	turn	VERB
fumecheng-12816	24	6	its	its	PRON
fumecheng-12816	24	7	attention	attention	NOUN
fumecheng-12816	24	8	to	to	ADP
fumecheng-12816	24	9	their	their	PRON
fumecheng-12816	24	10	periodic	periodic	ADJ
fumecheng-12816	24	11	motion	motion	NOUN
fumecheng-12816	24	12	.	.	PUNCT
fumecheng-12816	25	1	a	a	DET
fumecheng-12816	25	2	plethora	plethora	NOUN
fumecheng-12816	25	3	of	of	ADP
fumecheng-12816	25	4	analytical	analytical	ADJ
fumecheng-12816	25	5	techniques	technique	NOUN
fumecheng-12816	25	6	exists	exist	VERB
fumecheng-12816	25	7	for	for	ADP
fumecheng-12816	25	8	the	the	DET
fumecheng-12816	25	9	analysis	analysis	NOUN
fumecheng-12816	25	10	of	of	ADP
fumecheng-12816	25	11	nonlinear	nonlinear	ADJ
fumecheng-12816	25	12	oscillators	oscillator	NOUN
fumecheng-12816	25	13	.	.	PUNCT
fumecheng-12816	26	1	these	these	PRON
fumecheng-12816	26	2	include	include	VERB
fumecheng-12816	26	3	the	the	DET
fumecheng-12816	26	4	variational	variational	ADJ
fumecheng-12816	26	5	iteration	iteration	NOUN
fumecheng-12816	26	6	method	method	NOUN
fumecheng-12816	26	7	[	[	X
fumecheng-12816	26	8	18,19	18,19	NUM
fumecheng-12816	26	9	]	]	PUNCT
fumecheng-12816	26	10	,	,	PUNCT
fumecheng-12816	26	11	the	the	DET
fumecheng-12816	26	12	homotopy	homotopy	NOUN
fumecheng-12816	26	13	perturbation	perturbation	NOUN
fumecheng-12816	26	14	method[20	method[20	ADV
fumecheng-12816	26	15	]	]	PUNCT
fumecheng-12816	26	16	,	,	PUNCT
fumecheng-12816	26	17	the	the	DET
fumecheng-12816	26	18	hamiltonian	hamiltonian	NOUN
fumecheng-12816	26	19	-	-	PUNCT
fumecheng-12816	26	20	based	base	VERB
fumecheng-12816	26	21	frequency	frequency	NOUN
fumecheng-12816	26	22	formulation	formulation	NOUN
fumecheng-12816	26	23	[	[	X
fumecheng-12816	26	24	21	21	NUM
fumecheng-12816	26	25	]	]	PUNCT
fumecheng-12816	26	26	,	,	PUNCT
fumecheng-12816	26	27	the	the	DET
fumecheng-12816	26	28	energy	energy	NOUN
fumecheng-12816	26	29	balance	balance	NOUN
fumecheng-12816	26	30	method	method	NOUN
fumecheng-12816	26	31	[	[	X
fumecheng-12816	26	32	22	22	NUM
fumecheng-12816	26	33	]	]	PUNCT
fumecheng-12816	26	34	,	,	PUNCT
fumecheng-12816	26	35	and	and	CCONJ
fumecheng-12816	26	36	others	other	NOUN
fumecheng-12816	26	37	.	.	PUNCT
fumecheng-12816	27	1	this	this	DET
fumecheng-12816	27	2	paper	paper	NOUN
fumecheng-12816	27	3	applies	apply	VERB
fumecheng-12816	27	4	the	the	DET
fumecheng-12816	27	5	frequency	frequency	NOUN
fumecheng-12816	27	6	formulation	formulation	NOUN
fumecheng-12816	27	7	[	[	X
fumecheng-12816	27	8	23	23	NUM
fumecheng-12816	27	9	]	]	PUNCT
fumecheng-12816	27	10	to	to	PART
fumecheng-12816	27	11	investigate	investigate	VERB
fumecheng-12816	27	12	the	the	DET
fumecheng-12816	27	13	periodic	periodic	ADJ
fumecheng-12816	27	14	properties	property	NOUN
fumecheng-12816	27	15	of	of	ADP
fumecheng-12816	27	16	the	the	DET
fumecheng-12816	27	17	mems	mem	NOUN
fumecheng-12816	27	18	system	system	NOUN
fumecheng-12816	27	19	.	.	PUNCT
fumecheng-12816	28	1	2	2	X
fumecheng-12816	28	2	.	.	X
fumecheng-12816	28	3	mathematical	mathematical	ADJ
fumecheng-12816	28	4	model	model	NOUN
fumecheng-12816	28	5	consider	consider	VERB
fumecheng-12816	28	6	a	a	DET
fumecheng-12816	28	7	mems	mem	NOUN
fumecheng-12816	28	8	system	system	NOUN
fumecheng-12816	28	9	as	as	SCONJ
fumecheng-12816	28	10	illustrated	illustrate	VERB
fumecheng-12816	28	11	in	in	ADP
fumecheng-12816	28	12	fig	fig	NOUN
fumecheng-12816	28	13	.	.	PUNCT
fumecheng-12816	29	1	1	1	NUM
fumecheng-12816	29	2	,	,	PUNCT
fumecheng-12816	29	3	where	where	SCONJ
fumecheng-12816	29	4	the	the	DET
fumecheng-12816	29	5	micro	micro	NOUN
fumecheng-12816	29	6	/	/	SYM
fumecheng-12816	29	7	nano	nano	NOUN
fumecheng-12816	29	8	beam	beam	NOUN
fumecheng-12816	29	9	can	can	AUX
fumecheng-12816	29	10	be	be	AUX
fumecheng-12816	29	11	a	a	DET
fumecheng-12816	29	12	polyvinylidene	polyvinylidene	NOUN
fumecheng-12816	29	13	fluoride	fluoride	NOUN
fumecheng-12816	29	14	(	(	PUNCT
fumecheng-12816	29	15	pvdf	pvdf	PROPN
fumecheng-12816	29	16	)	)	PUNCT
fumecheng-12816	29	17	nanofiber	nanofiber	NOUN
fumecheng-12816	30	1	[	[	X
fumecheng-12816	30	2	24	24	NUM
fumecheng-12816	30	3	]	]	PUNCT
fumecheng-12816	30	4	or	or	CCONJ
fumecheng-12816	30	5	metal	metal	NOUN
fumecheng-12816	30	6	wire	wire	NOUN
fumecheng-12816	30	7	,	,	PUNCT
fumecheng-12816	30	8	it	it	PRON
fumecheng-12816	30	9	locals	local	VERB
fumecheng-12816	30	10	at	at	ADP
fumecheng-12816	30	11	the	the	DET
fumecheng-12816	30	12	middle	middle	NOUN
fumecheng-12816	30	13	of	of	ADP
fumecheng-12816	30	14	the	the	DET
fumecheng-12816	30	15	two	two	NUM
fumecheng-12816	30	16	symmetrical	symmetrical	ADJ
fumecheng-12816	30	17	current	current	ADJ
fumecheng-12816	30	18	-	-	PUNCT
fumecheng-12816	30	19	carrying	carry	VERB
fumecheng-12816	30	20	wires	wire	NOUN
fumecheng-12816	30	21	.	.	PUNCT
fumecheng-12816	31	1	according	accord	VERB
fumecheng-12816	31	2	to	to	ADP
fumecheng-12816	31	3	the	the	DET
fumecheng-12816	31	4	biot	biot	ADJ
fumecheng-12816	31	5	–	–	PUNCT
fumecheng-12816	31	6	savart	savart	ADJ
fumecheng-12816	31	7	law	law	NOUN
fumecheng-12816	31	8	[	[	X
fumecheng-12816	31	9	25	25	NUM
fumecheng-12816	31	10	]	]	PUNCT
fumecheng-12816	31	11	,	,	PUNCT
fumecheng-12816	31	12	the	the	DET
fumecheng-12816	31	13	micro	micro	NOUN
fumecheng-12816	31	14	/	/	SYM
fumecheng-12816	31	15	nano	nano	NOUN
fumecheng-12816	31	16	beam	beam	NOUN
fumecheng-12816	31	17	is	be	AUX
fumecheng-12816	31	18	under	under	ADP
fumecheng-12816	31	19	a	a	DET
fumecheng-12816	31	20	magnetic	magnetic	ADJ
fumecheng-12816	31	21	force	force	NOUN
fumecheng-12816	31	22	0	0	NUM
fumecheng-12816	32	1	1	1	NUM
fumecheng-12816	32	2	2	2	NUM
fumecheng-12816	32	3	1	1	NUM
fumecheng-12816	32	4	1	1	NUM
fumecheng-12816	32	5	(	(	PUNCT
fumecheng-12816	32	6	)	)	PUNCT
fumecheng-12816	32	7	2	2	NUM
fumecheng-12816	33	1	i	i	PRON
fumecheng-12816	33	2	i	i	PRON
fumecheng-12816	34	1	f	f	NOUN
fumecheng-12816	34	2	h	h	NOUN
fumecheng-12816	35	1	w	w	PROPN
fumecheng-12816	35	2	h	h	PROPN
fumecheng-12816	35	3	w	w	PROPN
fumecheng-12816	35	4			NOUN
fumecheng-12816	35	5			NOUN
fumecheng-12816	35	6	=	=	NOUN
fumecheng-12816	36	1	+	+	NUM
fumecheng-12816	36	2	−	−	PROPN
fumecheng-12816	37	1	+	+	CCONJ
fumecheng-12816	37	2	(	(	PUNCT
fumecheng-12816	37	3	1	1	X
fumecheng-12816	37	4	)	)	PUNCT
fumecheng-12816	37	5	where	where	SCONJ
fumecheng-12816	37	6	f	f	PROPN
fumecheng-12816	37	7	represents	represent	VERB
fumecheng-12816	37	8	the	the	DET
fumecheng-12816	37	9	magnetic	magnetic	ADJ
fumecheng-12816	37	10	force	force	NOUN
fumecheng-12816	37	11	per	per	ADP
fumecheng-12816	37	12	unit	unit	NOUN
fumecheng-12816	37	13	length	length	NOUN
fumecheng-12816	37	14	,	,	PUNCT
fumecheng-12816	37	15	while	while	SCONJ
fumecheng-12816	37	16	𝜇0	𝜇0	PROPN
fumecheng-12816	37	17	denotes	denote	VERB
fumecheng-12816	37	18	the	the	DET
fumecheng-12816	37	19	magnetic	magnetic	ADJ
fumecheng-12816	37	20	constant	constant	ADJ
fumecheng-12816	37	21	.	.	PUNCT
fumecheng-12816	38	1	the	the	DET
fumecheng-12816	38	2	variables	variables	PROPN
fumecheng-12816	38	3	i1	i1	PROPN
fumecheng-12816	38	4	and	and	CCONJ
fumecheng-12816	38	5	i2	i2	PROPN
fumecheng-12816	38	6	correspond	correspond	VERB
fumecheng-12816	38	7	to	to	ADP
fumecheng-12816	38	8	the	the	DET
fumecheng-12816	38	9	direct	direct	ADJ
fumecheng-12816	38	10	currents	current	NOUN
fumecheng-12816	38	11	flowing	flow	VERB
fumecheng-12816	38	12	through	through	ADP
fumecheng-12816	38	13	the	the	DET
fumecheng-12816	38	14	wires	wire	NOUN
fumecheng-12816	38	15	,	,	PUNCT
fumecheng-12816	38	16	while	while	SCONJ
fumecheng-12816	38	17	h	h	PROPN
fumecheng-12816	38	18	denotes	denote	VERB
fumecheng-12816	38	19	the	the	DET
fumecheng-12816	38	20	distance	distance	NOUN
fumecheng-12816	38	21	between	between	ADP
fumecheng-12816	38	22	them	they	PRON
fumecheng-12816	38	23	.	.	PUNCT
fumecheng-12816	39	1	fig	fig	NOUN
fumecheng-12816	39	2	.	.	PUNCT
fumecheng-12816	40	1	1	1	NUM
fumecheng-12816	40	2	mems	mem	NOUN
fumecheng-12816	40	3	system	system	NOUN
fumecheng-12816	40	4	with	with	ADP
fumecheng-12816	40	5	a	a	DET
fumecheng-12816	40	6	simple	simple	ADJ
fumecheng-12816	40	7	structure	structure	NOUN
fumecheng-12816	40	8	periodic	periodic	ADJ
fumecheng-12816	40	9	solution	solution	NOUN
fumecheng-12816	40	10	of	of	ADP
fumecheng-12816	40	11	a	a	DET
fumecheng-12816	40	12	micro	micro	ADJ
fumecheng-12816	40	13	-	-	ADJ
fumecheng-12816	40	14	electromechanical	electromechanical	ADJ
fumecheng-12816	40	15	system	system	NOUN
fumecheng-12816	40	16	189	189	NUM
fumecheng-12816	40	17	the	the	DET
fumecheng-12816	40	18	governing	govern	VERB
fumecheng-12816	40	19	equation	equation	NOUN
fumecheng-12816	40	20	can	can	AUX
fumecheng-12816	40	21	be	be	AUX
fumecheng-12816	40	22	expressed	express	VERB
fumecheng-12816	40	23	as	as	ADP
fumecheng-12816	40	24	2	2	NUM
fumecheng-12816	40	25	0	0	NUM
fumecheng-12816	40	26	1	1	NUM
fumecheng-12816	40	27	2	2	NUM
fumecheng-12816	40	28	2	2	NUM
fumecheng-12816	40	29	1	1	NUM
fumecheng-12816	40	30	1	1	NUM
fumecheng-12816	40	31	(	(	PUNCT
fumecheng-12816	40	32	)	)	PUNCT
fumecheng-12816	40	33	2	2	NUM
fumecheng-12816	41	1	i	i	PRON
fumecheng-12816	41	2	i	i	PRON
fumecheng-12816	41	3	ld	ld	PROPN
fumecheng-12816	41	4	w	w	PROPN
fumecheng-12816	41	5	m	m	VERB
fumecheng-12816	41	6	kw	kw	INTJ
fumecheng-12816	41	7	h	h	NOUN
fumecheng-12816	41	8	w	w	PROPN
fumecheng-12816	41	9	h	h	NOUN
fumecheng-12816	41	10	wds	wds	NOUN
fumecheng-12816	41	11			NOUN
fumecheng-12816	41	12			NOUN
fumecheng-12816	42	1	+	+	X
fumecheng-12816	42	2	=	=	SYM
fumecheng-12816	43	1	+	+	NUM
fumecheng-12816	43	2	−	−	PROPN
fumecheng-12816	44	1	+	+	CCONJ
fumecheng-12816	44	2	(	(	PUNCT
fumecheng-12816	44	3	2	2	NUM
fumecheng-12816	44	4	)	)	PUNCT
fumecheng-12816	44	5	where	where	SCONJ
fumecheng-12816	44	6	m	m	NOUN
fumecheng-12816	44	7	is	be	AUX
fumecheng-12816	44	8	the	the	DET
fumecheng-12816	44	9	mass	mass	NOUN
fumecheng-12816	44	10	of	of	ADP
fumecheng-12816	44	11	the	the	DET
fumecheng-12816	44	12	micro	micro	ADJ
fumecheng-12816	44	13	/	/	SYM
fumecheng-12816	44	14	nano	nano	NOUN
fumecheng-12816	44	15	beam	beam	NOUN
fumecheng-12816	44	16	,	,	PUNCT
fumecheng-12816	44	17	k	k	PROPN
fumecheng-12816	44	18	is	be	AUX
fumecheng-12816	44	19	its	its	PRON
fumecheng-12816	44	20	elastic	elastic	ADJ
fumecheng-12816	44	21	coefficient	coefficient	NOUN
fumecheng-12816	44	22	,	,	PUNCT
fumecheng-12816	44	23	s	s	PART
fumecheng-12816	44	24	is	be	AUX
fumecheng-12816	44	25	time	time	NOUN
fumecheng-12816	44	26	.	.	PUNCT
fumecheng-12816	45	1	eq	eq	ADJ
fumecheng-12816	45	2	.	.	PUNCT
fumecheng-12816	46	1	(	(	PUNCT
fumecheng-12816	46	2	2	2	X
fumecheng-12816	46	3	)	)	PUNCT
fumecheng-12816	46	4	can	can	AUX
fumecheng-12816	46	5	be	be	AUX
fumecheng-12816	46	6	written	write	VERB
fumecheng-12816	46	7	in	in	ADP
fumecheng-12816	46	8	a	a	DET
fumecheng-12816	46	9	dimensionless	dimensionless	NOUN
fumecheng-12816	46	10	form	form	NOUN
fumecheng-12816	46	11	:	:	PUNCT
fumecheng-12816	46	12	2	2	NUM
fumecheng-12816	46	13	2	2	NUM
fumecheng-12816	46	14	2	2	NUM
fumecheng-12816	46	15	1	1	NUM
fumecheng-12816	46	16	1	1	NUM
fumecheng-12816	46	17	2	2	NUM
fumecheng-12816	46	18	(	(	PUNCT
fumecheng-12816	46	19	)	)	PUNCT
fumecheng-12816	46	20	1	1	NUM
fumecheng-12816	46	21	1	1	NUM
fumecheng-12816	46	22	1	1	NUM
fumecheng-12816	46	23	d	d	PROPN
fumecheng-12816	46	24	u	u	NOUN
fumecheng-12816	46	25	ku	ku	PROPN
fumecheng-12816	46	26	u	u	X
fumecheng-12816	46	27	k	k	PROPN
fumecheng-12816	46	28	u	u	X
fumecheng-12816	46	29	udt	udt	PROPN
fumecheng-12816	46	30	u	u	NOUN
fumecheng-12816	46	31	+	+	X
fumecheng-12816	46	32	=	=	SYM
fumecheng-12816	47	1	−	−	PROPN
fumecheng-12816	47	2	=	=	PUNCT
fumecheng-12816	48	1	−	−	PROPN
fumecheng-12816	49	1	+	+	CCONJ
fumecheng-12816	49	2	−	−	PROPN
fumecheng-12816	49	3	(	(	PUNCT
fumecheng-12816	49	4	3	3	NUM
fumecheng-12816	49	5	)	)	PUNCT
fumecheng-12816	49	6	where	where	SCONJ
fumecheng-12816	49	7	u	u	NOUN
fumecheng-12816	49	8	=	=	NOUN
fumecheng-12816	49	9	w	w	NOUN
fumecheng-12816	49	10	/	/	SYM
fumecheng-12816	49	11	h	h	PROPN
fumecheng-12816	49	12	,	,	PUNCT
fumecheng-12816	49	13	t	t	PROPN
fumecheng-12816	49	14	=	=	SYM
fumecheng-12816	49	15	sω0	sω0	X
fumecheng-12816	49	16	,	,	PUNCT
fumecheng-12816	49	17	ω0=√(k	ω0=√(k	PROPN
fumecheng-12816	49	18	/	/	SYM
fumecheng-12816	49	19	m	m	PROPN
fumecheng-12816	49	20	)	)	PUNCT
fumecheng-12816	49	21	,	,	PUNCT
fumecheng-12816	49	22	k=	k=	X
fumecheng-12816	49	23	𝜇0	𝜇0	PROPN
fumecheng-12816	49	24	li1	li1	PROPN
fumecheng-12816	49	25	i2/(2πh2k	i2/(2πh2k	PROPN
fumecheng-12816	49	26	)	)	PUNCT
fumecheng-12816	49	27	.	.	PUNCT
fumecheng-12816	50	1	the	the	DET
fumecheng-12816	50	2	initial	initial	ADJ
fumecheng-12816	50	3	conditions	condition	NOUN
fumecheng-12816	50	4	are	be	AUX
fumecheng-12816	50	5	(	(	PUNCT
fumecheng-12816	50	6	0)u	0)u	ADV
fumecheng-12816	50	7	p=	p=	NOUN
fumecheng-12816	50	8	,	,	PUNCT
fumecheng-12816	50	9	(	(	PUNCT
fumecheng-12816	50	10	0)u	0)u	ADV
fumecheng-12816	50	11	q	q	ADV
fumecheng-12816	50	12	=	=	SYM
fumecheng-12816	50	13	(	(	PUNCT
fumecheng-12816	50	14	4	4	NUM
fumecheng-12816	50	15	)	)	PUNCT
fumecheng-12816	50	16	where	where	SCONJ
fumecheng-12816	50	17	p	p	NOUN
fumecheng-12816	50	18	and	and	CCONJ
fumecheng-12816	50	19	q	q	NOUN
fumecheng-12816	50	20	are	be	AUX
fumecheng-12816	50	21	constants	constant	NOUN
fumecheng-12816	50	22	.	.	PUNCT
fumecheng-12816	51	1	the	the	DET
fumecheng-12816	51	2	variational	variational	ADJ
fumecheng-12816	51	3	formulation	formulation	NOUN
fumecheng-12816	51	4	for	for	ADP
fumecheng-12816	51	5	eq	eq	PROPN
fumecheng-12816	51	6	.	.	PUNCT
fumecheng-12816	52	1	(	(	PUNCT
fumecheng-12816	52	2	3	3	X
fumecheng-12816	52	3	)	)	PUNCT
fumecheng-12816	52	4	is	be	AUX
fumecheng-12816	52	5			ADJ
fumecheng-12816	52	6	2	2	NOUN
fumecheng-12816	52	7	21	21	NUM
fumecheng-12816	52	8	1	1	NUM
fumecheng-12816	52	9	(	(	PUNCT
fumecheng-12816	52	10	)	)	PUNCT
fumecheng-12816	52	11	(	(	PUNCT
fumecheng-12816	52	12	)	)	PUNCT
fumecheng-12816	52	13	ln(1	ln(1	X
fumecheng-12816	52	14	)	)	PUNCT
fumecheng-12816	52	15	ln(1	ln(1	NOUN
fumecheng-12816	52	16	)	)	PUNCT
fumecheng-12816	52	17	2	2	NUM
fumecheng-12816	52	18	2	2	NUM
fumecheng-12816	52	19	du	du	PROPN
fumecheng-12816	52	20	j	j	PROPN
fumecheng-12816	52	21	u	u	PROPN
fumecheng-12816	52	22	u	u	X
fumecheng-12816	52	23	k	k	PROPN
fumecheng-12816	52	24	u	u	X
fumecheng-12816	52	25	u	u	NOUN
fumecheng-12816	52	26	dt	dt	X
fumecheng-12816	52	27	dt	dt	X
fumecheng-12816	52	28			ADP
fumecheng-12816	53	1			PROPN
fumecheng-12816	53	2	=	=	PUNCT
fumecheng-12816	54	1	−	−	PROPN
fumecheng-12816	54	2	−	−	NOUN
fumecheng-12816	54	3	−	−	PROPN
fumecheng-12816	55	1	+	+	CCONJ
fumecheng-12816	56	1	+	+	ADJ
fumecheng-12816	56	2			NUM
fumecheng-12816	56	3			NOUN
fumecheng-12816	57	1			PROPN
fumecheng-12816	57	2			PROPN
fumecheng-12816	57	3			PUNCT
fumecheng-12816	57	4	(	(	PUNCT
fumecheng-12816	57	5	5	5	NUM
fumecheng-12816	57	6	)	)	PUNCT
fumecheng-12816	57	7	the	the	DET
fumecheng-12816	57	8	variational	variational	ADJ
fumecheng-12816	57	9	principle	principle	NOUN
fumecheng-12816	57	10	for	for	ADP
fumecheng-12816	57	11	a	a	DET
fumecheng-12816	57	12	mems	mem	NOUN
fumecheng-12816	57	13	system	system	NOUN
fumecheng-12816	57	14	provides	provide	VERB
fumecheng-12816	57	15	an	an	DET
fumecheng-12816	57	16	energy	energy	NOUN
fumecheng-12816	57	17	approach	approach	NOUN
fumecheng-12816	57	18	to	to	ADP
fumecheng-12816	57	19	insight	insight	NOUN
fumecheng-12816	57	20	into	into	ADP
fumecheng-12816	57	21	the	the	DET
fumecheng-12816	57	22	energy	energy	NOUN
fumecheng-12816	57	23	conservation	conservation	NOUN
fumecheng-12816	57	24	during	during	ADP
fumecheng-12816	57	25	its	its	PRON
fumecheng-12816	57	26	operation	operation	NOUN
fumecheng-12816	57	27	[	[	X
fumecheng-12816	57	28	26	26	NUM
fumecheng-12816	57	29	]	]	PUNCT
fumecheng-12816	57	30	.	.	PUNCT
fumecheng-12816	58	1	it	it	PRON
fumecheng-12816	58	2	is	be	AUX
fumecheng-12816	58	3	also	also	ADV
fumecheng-12816	58	4	a	a	DET
fumecheng-12816	58	5	useful	useful	ADJ
fumecheng-12816	58	6	mathematical	mathematical	ADJ
fumecheng-12816	58	7	tool	tool	NOUN
fumecheng-12816	58	8	for	for	ADP
fumecheng-12816	58	9	complex	complex	ADJ
fumecheng-12816	58	10	systems	system	NOUN
fumecheng-12816	58	11	,	,	PUNCT
fumecheng-12816	58	12	such	such	ADJ
fumecheng-12816	58	13	as	as	ADP
fumecheng-12816	58	14	nano	nano	NOUN
fumecheng-12816	58	15	-	-	PUNCT
fumecheng-12816	58	16	lubrication	lubrication	NOUN
fumecheng-12816	58	17	[	[	X
fumecheng-12816	58	18	27	27	NUM
fumecheng-12816	58	19	]	]	PUNCT
fumecheng-12816	58	20	,	,	PUNCT
fumecheng-12816	58	21	solitary	solitary	ADJ
fumecheng-12816	58	22	waves	wave	NOUN
fumecheng-12816	58	23	[	[	X
fumecheng-12816	58	24	28	28	NUM
fumecheng-12816	58	25	]	]	PUNCT
fumecheng-12816	58	26	,	,	PUNCT
fumecheng-12816	58	27	and	and	CCONJ
fumecheng-12816	58	28	singular	singular	ADJ
fumecheng-12816	58	29	waves	wave	NOUN
fumecheng-12816	58	30	[	[	X
fumecheng-12816	58	31	29	29	NUM
fumecheng-12816	58	32	]	]	PUNCT
fumecheng-12816	58	33	.	.	PUNCT
fumecheng-12816	59	1	according	accord	VERB
fumecheng-12816	59	2	to	to	ADP
fumecheng-12816	59	3	the	the	DET
fumecheng-12816	59	4	variational	variational	ADJ
fumecheng-12816	59	5	formulation	formulation	NOUN
fumecheng-12816	59	6	of	of	ADP
fumecheng-12816	59	7	eq	eq	PROPN
fumecheng-12816	59	8	.	.	PUNCT
fumecheng-12816	60	1	(	(	PUNCT
fumecheng-12816	60	2	5	5	NUM
fumecheng-12816	60	3	)	)	PUNCT
fumecheng-12816	60	4	,	,	PUNCT
fumecheng-12816	60	5	the	the	DET
fumecheng-12816	60	6	following	follow	VERB
fumecheng-12816	60	7	hamilton	hamilton	PROPN
fumecheng-12816	60	8	function	function	PROPN
fumecheng-12816	60	9	can	can	AUX
fumecheng-12816	60	10	be	be	AUX
fumecheng-12816	60	11	obtained	obtain	VERB
fumecheng-12816	60	12	:	:	PUNCT
fumecheng-12816	60	13			ADJ
fumecheng-12816	60	14	2	2	NOUN
fumecheng-12816	60	15	21	21	NUM
fumecheng-12816	60	16	1	1	NUM
fumecheng-12816	60	17	(	(	PUNCT
fumecheng-12816	60	18	)	)	PUNCT
fumecheng-12816	60	19	ln(1	ln(1	NOUN
fumecheng-12816	60	20	)	)	PUNCT
fumecheng-12816	60	21	ln(1	ln(1	NOUN
fumecheng-12816	60	22	)	)	PUNCT
fumecheng-12816	60	23	2	2	NUM
fumecheng-12816	60	24	2	2	NUM
fumecheng-12816	60	25	du	du	NOUN
fumecheng-12816	60	26	u	u	NOUN
fumecheng-12816	60	27	k	k	PROPN
fumecheng-12816	60	28	u	u	X
fumecheng-12816	60	29	u	u	NOUN
fumecheng-12816	60	30	h	h	NOUN
fumecheng-12816	61	1	dt	dt	X
fumecheng-12816	62	1	+	+	CCONJ
fumecheng-12816	63	1	+	+	CCONJ
fumecheng-12816	63	2	−	−	X
fumecheng-12816	64	1	+	+	CCONJ
fumecheng-12816	64	2	+	+	PUNCT
fumecheng-12816	64	3	=	=	SYM
fumecheng-12816	64	4	(	(	PUNCT
fumecheng-12816	64	5	6	6	NUM
fumecheng-12816	64	6	)	)	PUNCT
fumecheng-12816	64	7	where	where	SCONJ
fumecheng-12816	64	8	h	h	NOUN
fumecheng-12816	64	9	is	be	AUX
fumecheng-12816	64	10	hamilton	hamilton	PROPN
fumecheng-12816	64	11	constant	constant	PROPN
fumecheng-12816	64	12	,	,	PUNCT
fumecheng-12816	64	13	which	which	PRON
fumecheng-12816	64	14	depends	depend	VERB
fumecheng-12816	64	15	on	on	ADP
fumecheng-12816	64	16	the	the	DET
fumecheng-12816	64	17	initial	initial	ADJ
fumecheng-12816	64	18	conditions	condition	NOUN
fumecheng-12816	64	19	of	of	ADP
fumecheng-12816	64	20	eq	eq	NOUN
fumecheng-12816	64	21	.	.	PUNCT
fumecheng-12816	64	22	(	(	PUNCT
fumecheng-12816	64	23	4	4	NUM
fumecheng-12816	64	24	)	)	PUNCT
fumecheng-12816	64	25	.	.	PUNCT
fumecheng-12816	65	1	after	after	ADP
fumecheng-12816	65	2	identification	identification	NOUN
fumecheng-12816	65	3	of	of	ADP
fumecheng-12816	65	4	h	h	NOUN
fumecheng-12816	65	5	,	,	PUNCT
fumecheng-12816	65	6	eq	eq	ADJ
fumecheng-12816	65	7	.	.	PUNCT
fumecheng-12816	65	8	(	(	PUNCT
fumecheng-12816	65	9	6	6	NUM
fumecheng-12816	65	10	)	)	PUNCT
fumecheng-12816	65	11	becomes	become	VERB
fumecheng-12816	65	12			ADJ
fumecheng-12816	65	13			ADP
fumecheng-12816	65	14			PROPN
fumecheng-12816	65	15	2	2	NOUN
fumecheng-12816	65	16	2	2	NUM
fumecheng-12816	65	17	2	2	NUM
fumecheng-12816	65	18	21	21	NUM
fumecheng-12816	65	19	1	1	NUM
fumecheng-12816	65	20	1	1	NUM
fumecheng-12816	65	21	1	1	NUM
fumecheng-12816	65	22	(	(	PUNCT
fumecheng-12816	65	23	)	)	PUNCT
fumecheng-12816	65	24	ln(1	ln(1	NOUN
fumecheng-12816	65	25	)	)	PUNCT
fumecheng-12816	65	26	ln(1	ln(1	NOUN
fumecheng-12816	65	27	)	)	PUNCT
fumecheng-12816	65	28	ln(1	ln(1	NOUN
fumecheng-12816	65	29	)	)	PUNCT
fumecheng-12816	65	30	ln(1	ln(1	NOUN
fumecheng-12816	65	31	)	)	PUNCT
fumecheng-12816	65	32	2	2	NUM
fumecheng-12816	65	33	2	2	NUM
fumecheng-12816	65	34	2	2	NUM
fumecheng-12816	65	35	2	2	NUM
fumecheng-12816	65	36	du	du	NOUN
fumecheng-12816	65	37	u	u	NOUN
fumecheng-12816	65	38	k	k	PROPN
fumecheng-12816	65	39	u	u	X
fumecheng-12816	65	40	u	u	NOUN
fumecheng-12816	65	41	q	q	NOUN
fumecheng-12816	65	42	p	p	X
fumecheng-12816	66	1	k	k	PROPN
fumecheng-12816	66	2	p	p	X
fumecheng-12816	66	3	p	p	X
fumecheng-12816	66	4	dt	dt	X
fumecheng-12816	67	1	+	+	CCONJ
fumecheng-12816	68	1	+	+	CCONJ
fumecheng-12816	68	2	−	−	X
fumecheng-12816	69	1	+	+	SYM
fumecheng-12816	69	2	+	+	PUNCT
fumecheng-12816	69	3	=	=	SYM
fumecheng-12816	70	1	+	+	PUNCT
fumecheng-12816	71	1	+	+	CCONJ
fumecheng-12816	71	2	−	−	X
fumecheng-12816	72	1	+	+	CCONJ
fumecheng-12816	72	2	+	+	CCONJ
fumecheng-12816	72	3	(	(	PUNCT
fumecheng-12816	72	4	7	7	X
fumecheng-12816	72	5	)	)	PUNCT
fumecheng-12816	72	6	taking	take	VERB
fumecheng-12816	72	7	the	the	DET
fumecheng-12816	72	8	derivative	derivative	NOUN
fumecheng-12816	72	9	of	of	ADP
fumecheng-12816	72	10	this	this	DET
fumecheng-12816	72	11	equation	equation	NOUN
fumecheng-12816	72	12	with	with	ADP
fumecheng-12816	72	13	respect	respect	NOUN
fumecheng-12816	72	14	to	to	ADP
fumecheng-12816	72	15	t	t	PROPN
fumecheng-12816	72	16	,	,	PUNCT
fumecheng-12816	72	17	we	we	PRON
fumecheng-12816	72	18	have	have	VERB
fumecheng-12816	72	19	2	2	NUM
fumecheng-12816	72	20	2	2	NUM
fumecheng-12816	72	21	1	1	NUM
fumecheng-12816	72	22	1	1	NUM
fumecheng-12816	72	23	0	0	NUM
fumecheng-12816	72	24	1	1	NUM
fumecheng-12816	72	25	1	1	NUM
fumecheng-12816	72	26	du	du	NOUN
fumecheng-12816	72	27	d	d	X
fumecheng-12816	72	28	u	u	X
fumecheng-12816	72	29	du	du	PROPN
fumecheng-12816	72	30	du	du	PROPN
fumecheng-12816	72	31	u	u	PROPN
fumecheng-12816	72	32	k	k	PROPN
fumecheng-12816	72	33	dt	dt	X
fumecheng-12816	73	1	dt	dt	X
fumecheng-12816	74	1	u	u	X
fumecheng-12816	74	2	u	u	NOUN
fumecheng-12816	74	3	dtdt	dtdt	VERB
fumecheng-12816	74	4	−	−	PRON
fumecheng-12816	74	5			VERB
fumecheng-12816	75	1	+	+	PUNCT
fumecheng-12816	75	2	+	+	PUNCT
fumecheng-12816	75	3	+	+	CCONJ
fumecheng-12816	75	4	=	=	NOUN
fumecheng-12816	75	5			X
fumecheng-12816	75	6	−	−	X
fumecheng-12816	76	1	+	+	ADJ
fumecheng-12816	76	2			PROPN
fumecheng-12816	76	3			PROPN
fumecheng-12816	76	4	(	(	PUNCT
fumecheng-12816	76	5	8)	8)	NUM
fumecheng-12816	76	6	this	this	DET
fumecheng-12816	76	7	equation	equation	NOUN
fumecheng-12816	76	8	leads	lead	VERB
fumecheng-12816	76	9	to	to	ADP
fumecheng-12816	76	10	eq	eq	PROPN
fumecheng-12816	76	11	.	.	PUNCT
fumecheng-12816	77	1	(	(	PUNCT
fumecheng-12816	77	2	3	3	NUM
fumecheng-12816	77	3	)	)	PUNCT
fumecheng-12816	77	4	.	.	PUNCT
fumecheng-12816	78	1	eq	eq	X
fumecheng-12816	78	2	.	.	PUNCT
fumecheng-12816	79	1	(	(	PUNCT
fumecheng-12816	79	2	7	7	X
fumecheng-12816	79	3	)	)	PUNCT
fumecheng-12816	79	4	can	can	AUX
fumecheng-12816	79	5	be	be	AUX
fumecheng-12816	79	6	used	use	VERB
fumecheng-12816	79	7	for	for	ADP
fumecheng-12816	79	8	analysis	analysis	NOUN
fumecheng-12816	79	9	of	of	ADP
fumecheng-12816	79	10	the	the	DET
fumecheng-12816	79	11	dynamical	dynamical	ADJ
fumecheng-12816	79	12	properties	property	NOUN
fumecheng-12816	79	13	by	by	ADP
fumecheng-12816	79	14	the	the	DET
fumecheng-12816	79	15	hamiltonian	hamiltonian	NOUN
fumecheng-12816	79	16	-	-	PUNCT
fumecheng-12816	79	17	based	base	VERB
fumecheng-12816	79	18	frequency	frequency	NOUN
fumecheng-12816	79	19	formulation	formulation	NOUN
fumecheng-12816	79	20	[	[	X
fumecheng-12816	79	21	21	21	NUM
fumecheng-12816	79	22	]	]	PUNCT
fumecheng-12816	79	23	.	.	PUNCT
fumecheng-12816	80	1	190	190	NUM
fumecheng-12816	80	2	j.-h	j.-h	NOUN
fumecheng-12816	80	3	.	.	PUNCT
fumecheng-12816	81	1	he	he	PRON
fumecheng-12816	81	2	3	3	X
fumecheng-12816	81	3	.	.	PUNCT
fumecheng-12816	81	4	frequency	frequency	NOUN
fumecheng-12816	81	5	formulation	formulation	NOUN
fumecheng-12816	81	6	considering	consider	VERB
fumecheng-12816	81	7	the	the	DET
fumecheng-12816	81	8	following	follow	VERB
fumecheng-12816	81	9	general	general	ADJ
fumecheng-12816	81	10	nonlinear	nonlinear	ADJ
fumecheng-12816	81	11	oscillator	oscillator	NOUN
fumecheng-12816	81	12	(	(	PUNCT
fumecheng-12816	81	13	,	,	PUNCT
fumecheng-12816	81	14	,	,	PUNCT
fumecheng-12816	81	15	)	)	PUNCT
fumecheng-12816	81	16	0u	0u	ADJ
fumecheng-12816	81	17	h	h	NOUN
fumecheng-12816	81	18	u	u	NOUN
fumecheng-12816	81	19	u	u	NOUN
fumecheng-12816	81	20	u	u	PROPN
fumecheng-12816	81	21			PROPN
fumecheng-12816	81	22	+	+	PROPN
fumecheng-12816	81	23	=	=	X
fumecheng-12816	81	24	(	(	PUNCT
fumecheng-12816	81	25	9	9	NUM
fumecheng-12816	81	26	)	)	PUNCT
fumecheng-12816	81	27	for	for	ADP
fumecheng-12816	81	28	a	a	DET
fumecheng-12816	81	29	periodic	periodic	ADJ
fumecheng-12816	81	30	solution	solution	NOUN
fumecheng-12816	81	31	of	of	ADP
fumecheng-12816	81	32	eq	eq	PROPN
fumecheng-12816	81	33	.	.	PUNCT
fumecheng-12816	81	34	(	(	PUNCT
fumecheng-12816	81	35	9	9	NUM
fumecheng-12816	81	36	)	)	PUNCT
fumecheng-12816	81	37	,	,	PUNCT
fumecheng-12816	81	38	it	it	PRON
fumecheng-12816	81	39	requires	require	VERB
fumecheng-12816	81	40	[	[	X
fumecheng-12816	81	41	23	23	NUM
fumecheng-12816	81	42	]	]	SYM
fumecheng-12816	81	43	(	(	PUNCT
fumecheng-12816	81	44	0	0	NUM
fumecheng-12816	81	45	,	,	PUNCT
fumecheng-12816	81	46	,	,	PUNCT
fumecheng-12816	81	47	)	)	PUNCT
fumecheng-12816	81	48	0h	0h	PROPN
fumecheng-12816	81	49	u	u	NOUN
fumecheng-12816	81	50	u	u	X
fumecheng-12816	81	51			PROPN
fumecheng-12816	81	52	=	=	SYM
fumecheng-12816	81	53	(	(	PUNCT
fumecheng-12816	81	54	10	10	NUM
fumecheng-12816	81	55	)	)	PUNCT
fumecheng-12816	81	56	and	and	CCONJ
fumecheng-12816	81	57	(	(	PUNCT
fumecheng-12816	81	58	,	,	PUNCT
fumecheng-12816	81	59	,	,	PUNCT
fumecheng-12816	81	60	)	)	PUNCT
fumecheng-12816	81	61	/	/	SYM
fumecheng-12816	82	1	0h	0h	NUM
fumecheng-12816	82	2	u	u	NOUN
fumecheng-12816	82	3	u	u	X
fumecheng-12816	82	4	u	u	NOUN
fumecheng-12816	82	5	u	u	X
fumecheng-12816	82	6			PROPN
fumecheng-12816	82	7			PROPN
fumecheng-12816	82	8	(	(	PUNCT
fumecheng-12816	82	9	11	11	NUM
fumecheng-12816	82	10	)	)	PUNCT
fumecheng-12816	82	11	we	we	PRON
fumecheng-12816	82	12	assume	assume	VERB
fumecheng-12816	82	13	that	that	SCONJ
fumecheng-12816	82	14	approximate	approximate	ADJ
fumecheng-12816	82	15	solution	solution	NOUN
fumecheng-12816	82	16	is	be	AUX
fumecheng-12816	82	17	given	give	VERB
fumecheng-12816	82	18	(	(	PUNCT
fumecheng-12816	82	19	)	)	PUNCT
fumecheng-12816	82	20	cos	cos	PROPN
fumecheng-12816	82	21	(	(	PUNCT
fumecheng-12816	82	22	)	)	PUNCT
fumecheng-12816	82	23	u	u	NOUN
fumecheng-12816	82	24	t	t	NOUN
fumecheng-12816	82	25	a	a	DET
fumecheng-12816	82	26	t	t	X
fumecheng-12816	82	27	=	=	NOUN
fumecheng-12816	82	28	+	+	CCONJ
fumecheng-12816	82	29	(	(	PUNCT
fumecheng-12816	82	30	12	12	NUM
fumecheng-12816	82	31	)	)	PUNCT
fumecheng-12816	82	32	where	where	SCONJ
fumecheng-12816	82	33	ω	ω	PROPN
fumecheng-12816	82	34	is	be	AUX
fumecheng-12816	82	35	the	the	DET
fumecheng-12816	82	36	frequency	frequency	NOUN
fumecheng-12816	82	37	,	,	PUNCT
fumecheng-12816	82	38	a	a	PRON
fumecheng-12816	82	39	and	and	CCONJ
fumecheng-12816	82	40	ϕ	ϕ	NOUN
fumecheng-12816	82	41	can	can	AUX
fumecheng-12816	82	42	be	be	AUX
fumecheng-12816	82	43	determined	determine	VERB
fumecheng-12816	82	44	from	from	ADP
fumecheng-12816	82	45	the	the	DET
fumecheng-12816	82	46	initial	initial	ADJ
fumecheng-12816	82	47	conditions	condition	NOUN
fumecheng-12816	82	48	:	:	PUNCT
fumecheng-12816	82	49	2	2	NUM
fumecheng-12816	82	50	2	2	NUM
fumecheng-12816	82	51	2	2	NUM
fumecheng-12816	82	52	q	q	NOUN
fumecheng-12816	82	53	a	a	DET
fumecheng-12816	82	54	p	p	X
fumecheng-12816	82	55			X
fumecheng-12816	82	56	=	=	PUNCT
fumecheng-12816	82	57	+	+	CCONJ
fumecheng-12816	82	58	(	(	PUNCT
fumecheng-12816	82	59	13	13	NUM
fumecheng-12816	82	60	)	)	PUNCT
fumecheng-12816	82	61	according	accord	VERB
fumecheng-12816	82	62	to	to	ADP
fumecheng-12816	82	63	the	the	DET
fumecheng-12816	82	64	frequency	frequency	NOUN
fumecheng-12816	82	65	formulation	formulation	NOUN
fumecheng-12816	82	66	[	[	X
fumecheng-12816	82	67	23	23	NUM
fumecheng-12816	82	68	]	]	PUNCT
fumecheng-12816	82	69	,	,	PUNCT
fumecheng-12816	82	70	we	we	PRON
fumecheng-12816	82	71	have	have	AUX
fumecheng-12816	82	72	2	2	NUM
fumecheng-12816	82	73	2	2	NUM
fumecheng-12816	82	74	2	2	NUM
fumecheng-12816	82	75	1	1	NUM
fumecheng-12816	82	76	(	(	PUNCT
fumecheng-12816	82	77	,	,	PUNCT
fumecheng-12816	82	78	,	,	PUNCT
fumecheng-12816	82	79	)	)	PUNCT
fumecheng-12816	82	80	u	u	NOUN
fumecheng-12816	82	81	na	na	VERB
fumecheng-12816	82	82	u	u	PROPN
fumecheng-12816	82	83	a	a	PRON
fumecheng-12816	82	84	n	n	NOUN
fumecheng-12816	82	85	u	u	NOUN
fumecheng-12816	82	86	na	na	NOUN
fumecheng-12816	82	87	h	h	NOUN
fumecheng-12816	82	88	u	u	NOUN
fumecheng-12816	82	89	u	u	NOUN
fumecheng-12816	82	90	u	u	X
fumecheng-12816	82	91	u	u	NOUN
fumecheng-12816	82	92			X
fumecheng-12816	82	93			X
fumecheng-12816	82	94			X
fumecheng-12816	82	95	=	=	SYM
fumecheng-12816	82	96	=−	=−	ADP
fumecheng-12816	82	97	−	−	PROPN
fumecheng-12816	82	98	=−	=−	X
fumecheng-12816	82	99			ADJ
fumecheng-12816	82	100			ADV
fumecheng-12816	82	101	=	=	SYM
fumecheng-12816	82	102	(	(	PUNCT
fumecheng-12816	82	103	14	14	NUM
fumecheng-12816	82	104	)	)	PUNCT
fumecheng-12816	82	105	where	where	SCONJ
fumecheng-12816	82	106	a	a	PRON
fumecheng-12816	82	107	is	be	AUX
fumecheng-12816	82	108	the	the	DET
fumecheng-12816	82	109	amplitude	amplitude	NOUN
fumecheng-12816	82	110	,	,	PUNCT
fumecheng-12816	82	111	0	0	NUM
fumecheng-12816	82	112	<	<	X
fumecheng-12816	82	113	n<1	n<1	NOUN
fumecheng-12816	82	114	,	,	PUNCT
fumecheng-12816	82	115	in	in	ADP
fumecheng-12816	82	116	this	this	DET
fumecheng-12816	82	117	paper	paper	NOUN
fumecheng-12816	82	118	we	we	PRON
fumecheng-12816	82	119	set	set	VERB
fumecheng-12816	82	120	n=√3/2	n=√3/2	NOUN
fumecheng-12816	82	121	=	=	SYM
fumecheng-12816	82	122	0.8660	0.8660	NUM
fumecheng-12816	82	123	.	.	PUNCT
fumecheng-12816	83	1	chun	chun	PROPN
fumecheng-12816	83	2	-	-	PUNCT
fumecheng-12816	83	3	hui	hui	PROPN
fumecheng-12816	83	4	he	he	PRON
fumecheng-12816	83	5	and	and	CCONJ
fumecheng-12816	83	6	chao	chao	PROPN
fumecheng-12816	83	7	liu	liu	PROPN
fumecheng-12816	83	8	suggested	suggest	VERB
fumecheng-12816	83	9	a	a	DET
fumecheng-12816	83	10	modification	modification	NOUN
fumecheng-12816	83	11	[	[	X
fumecheng-12816	83	12	30	30	NUM
fumecheng-12816	83	13	]	]	X
fumecheng-12816	83	14	/4	/4	NOUN
fumecheng-12816	83	15	2	2	NUM
fumecheng-12816	83	16	0	0	NUM
fumecheng-12816	83	17	/4	/4	NOUN
fumecheng-12816	83	18	0	0	NUM
fumecheng-12816	84	1	t	t	NOUN
fumecheng-12816	84	2	t	t	NOUN
fumecheng-12816	84	3	hdt	hdt	PROPN
fumecheng-12816	84	4	udt	udt	PROPN
fumecheng-12816	84	5			NOUN
fumecheng-12816	84	6			X
fumecheng-12816	84	7			NOUN
fumecheng-12816	84	8	=	=	SYM
fumecheng-12816	84	9			X
fumecheng-12816	84	10			X
fumecheng-12816	84	11	(	(	PUNCT
fumecheng-12816	84	12	15	15	NUM
fumecheng-12816	84	13	)	)	PUNCT
fumecheng-12816	84	14	where	where	SCONJ
fumecheng-12816	84	15	ξ	ξ	PROPN
fumecheng-12816	84	16	is	be	AUX
fumecheng-12816	84	17	the	the	DET
fumecheng-12816	84	18	weighting	weighting	NOUN
fumecheng-12816	84	19	function	function	NOUN
fumecheng-12816	84	20	.	.	PUNCT
fumecheng-12816	85	1	the	the	DET
fumecheng-12816	85	2	frequency	frequency	NOUN
fumecheng-12816	85	3	formulation	formulation	NOUN
fumecheng-12816	85	4	is	be	AUX
fumecheng-12816	85	5	the	the	DET
fumecheng-12816	85	6	simplest	simple	ADJ
fumecheng-12816	85	7	approach	approach	NOUN
fumecheng-12816	85	8	to	to	ADP
fumecheng-12816	85	9	nonlinear	nonlinear	ADJ
fumecheng-12816	85	10	vibration	vibration	NOUN
fumecheng-12816	85	11	systems	system	NOUN
fumecheng-12816	85	12	,	,	PUNCT
fumecheng-12816	85	13	it	it	PRON
fumecheng-12816	85	14	has	have	AUX
fumecheng-12816	85	15	been	be	AUX
fumecheng-12816	85	16	successfully	successfully	ADV
fumecheng-12816	85	17	applied	apply	VERB
fumecheng-12816	85	18	to	to	ADP
fumecheng-12816	85	19	various	various	ADJ
fumecheng-12816	85	20	complex	complex	ADJ
fumecheng-12816	85	21	oscillators	oscillator	NOUN
fumecheng-12816	85	22	,	,	PUNCT
fumecheng-12816	85	23	for	for	ADP
fumecheng-12816	85	24	examples	example	NOUN
fumecheng-12816	85	25	,	,	PUNCT
fumecheng-12816	85	26	fractal	fractal	ADJ
fumecheng-12816	85	27	vibration	vibration	NOUN
fumecheng-12816	85	28	systems	system	NOUN
fumecheng-12816	85	29	[	[	X
fumecheng-12816	85	30	31	31	NUM
fumecheng-12816	85	31	]	]	PUNCT
fumecheng-12816	85	32	,	,	PUNCT
fumecheng-12816	85	33	fractal	fractal	ADJ
fumecheng-12816	85	34	–	–	PUNCT
fumecheng-12816	85	35	fractional	fractional	ADJ
fumecheng-12816	85	36	oscillators	oscillator	NOUN
fumecheng-12816	85	37	[	[	X
fumecheng-12816	85	38	32	32	NUM
fumecheng-12816	85	39	]	]	PUNCT
fumecheng-12816	85	40	,	,	PUNCT
fumecheng-12816	85	41	and	and	CCONJ
fumecheng-12816	85	42	nonlinear	nonlinear	ADJ
fumecheng-12816	85	43	oscillators	oscillator	NOUN
fumecheng-12816	85	44	[	[	X
fumecheng-12816	85	45	33	33	NUM
fumecheng-12816	85	46	]	]	PUNCT
fumecheng-12816	85	47	.	.	PUNCT
fumecheng-12816	86	1	for	for	ADP
fumecheng-12816	86	2	eq	eq	PROPN
fumecheng-12816	86	3	.	.	PUNCT
fumecheng-12816	86	4	(	(	PUNCT
fumecheng-12816	86	5	3	3	NUM
fumecheng-12816	86	6	)	)	PUNCT
fumecheng-12816	86	7	,	,	PUNCT
fumecheng-12816	86	8	h	h	NOUN
fumecheng-12816	86	9	can	can	AUX
fumecheng-12816	86	10	be	be	AUX
fumecheng-12816	86	11	expressed	express	VERB
fumecheng-12816	86	12	as	as	ADP
fumecheng-12816	86	13	2	2	NUM
fumecheng-12816	86	14	2	2	NUM
fumecheng-12816	86	15	1	1	NUM
fumecheng-12816	86	16	ku	ku	NOUN
fumecheng-12816	86	17	h	h	PROPN
fumecheng-12816	86	18	u	u	PROPN
fumecheng-12816	86	19	u	u	NOUN
fumecheng-12816	86	20	=	=	NOUN
fumecheng-12816	86	21	−	−	PROPN
fumecheng-12816	86	22	−	−	PROPN
fumecheng-12816	87	1	(	(	PUNCT
fumecheng-12816	87	2	16	16	NUM
fumecheng-12816	87	3	)	)	PUNCT
fumecheng-12816	87	4	according	accord	VERB
fumecheng-12816	87	5	to	to	ADP
fumecheng-12816	87	6	the	the	DET
fumecheng-12816	87	7	frequency	frequency	NOUN
fumecheng-12816	87	8	formulation	formulation	NOUN
fumecheng-12816	87	9	given	give	VERB
fumecheng-12816	87	10	in	in	ADP
fumecheng-12816	87	11	eq	eq	ADP
fumecheng-12816	87	12	.	.	PUNCT
fumecheng-12816	88	1	(	(	PUNCT
fumecheng-12816	88	2	14	14	NUM
fumecheng-12816	88	3	)	)	PUNCT
fumecheng-12816	88	4	,	,	PUNCT
fumecheng-12816	88	5	we	we	PRON
fumecheng-12816	88	6	have	have	VERB
fumecheng-12816	88	7	23	23	NUM
fumecheng-12816	88	8	2	2	NUM
fumecheng-12816	88	9	4	4	NUM
fumecheng-12816	88	10	2	2	NUM
fumecheng-12816	88	11	2	2	NUM
fumecheng-12816	88	12	23	23	NUM
fumecheng-12816	88	13	/2	/2	NOUN
fumecheng-12816	89	1	3	3	NUM
fumecheng-12816	89	2	3	3	NUM
fumecheng-12816	89	3	4	4	NUM
fumecheng-12816	89	4	4	4	NUM
fumecheng-12816	89	5	1	1	NUM
fumecheng-12816	89	6	22	22	NUM
fumecheng-12816	89	7	2	2	NUM
fumecheng-12816	89	8	(	(	PUNCT
fumecheng-12816	89	9	1	1	NUM
fumecheng-12816	89	10	)	)	SYM
fumecheng-12816	89	11	1	1	NUM
fumecheng-12816	89	12	1	1	NUM
fumecheng-12816	89	13	1	1	NUM
fumecheng-12816	89	14	1u	1u	PRON
fumecheng-12816	89	15	a	a	DET
fumecheng-12816	89	16	a	a	DET
fumecheng-12816	89	17	kk	kk	X
fumecheng-12816	89	18	k	k	PROPN
fumecheng-12816	89	19	u	u	PROPN
fumecheng-12816	89	20	a	a	PRON
fumecheng-12816	89	21	a	a	DET
fumecheng-12816	89	22			X
fumecheng-12816	89	23	=	=	SYM
fumecheng-12816	89	24	−	−	NOUN
fumecheng-12816	90	1	−	−	PROPN
fumecheng-12816	91	1	=	=	SYM
fumecheng-12816	92	1	−	−	PROPN
fumecheng-12816	93	1	=	=	SYM
fumecheng-12816	94	1	−	−	PROPN
fumecheng-12816	95	1	=	=	PUNCT
fumecheng-12816	96	1	−	−	PROPN
fumecheng-12816	96	2	−	−	PROPN
fumecheng-12816	96	3	−	−	PROPN
fumecheng-12816	96	4	(	(	PUNCT
fumecheng-12816	96	5	17	17	NUM
fumecheng-12816	96	6	)	)	PUNCT
fumecheng-12816	96	7	for	for	ADP
fumecheng-12816	96	8	a	a	DET
fumecheng-12816	96	9	periodic	periodic	ADJ
fumecheng-12816	96	10	motion	motion	NOUN
fumecheng-12816	96	11	,	,	PUNCT
fumecheng-12816	96	12	ω	ω	PROPN
fumecheng-12816	96	13	must	must	AUX
fumecheng-12816	96	14	be	be	AUX
fumecheng-12816	96	15	positive	positive	ADJ
fumecheng-12816	96	16	.	.	PUNCT
fumecheng-12816	97	1	when	when	SCONJ
fumecheng-12816	97	2	ω2<0	ω2<0	PROPN
fumecheng-12816	97	3	,	,	PUNCT
fumecheng-12816	97	4	the	the	DET
fumecheng-12816	97	5	pull	pull	NOUN
fumecheng-12816	97	6	-	-	PUNCT
fumecheng-12816	97	7	in	in	ADP
fumecheng-12816	97	8	motion	motion	NOUN
fumecheng-12816	97	9	occurs	occur	VERB
fumecheng-12816	97	10	.	.	PUNCT
fumecheng-12816	98	1	so	so	ADV
fumecheng-12816	98	2	ω=0	ω=0	NOUN
fumecheng-12816	98	3	leads	lead	VERB
fumecheng-12816	98	4	to	to	ADP
fumecheng-12816	98	5	the	the	DET
fumecheng-12816	98	6	following	follow	VERB
fumecheng-12816	98	7	critical	critical	ADJ
fumecheng-12816	98	8	relationship	relationship	NOUN
fumecheng-12816	98	9	between	between	ADP
fumecheng-12816	98	10	the	the	DET
fumecheng-12816	98	11	voltage	voltage	NOUN
fumecheng-12816	98	12	and	and	CCONJ
fumecheng-12816	98	13	the	the	DET
fumecheng-12816	98	14	amplitude	amplitude	NOUN
fumecheng-12816	98	15	.	.	PUNCT
fumecheng-12816	99	1	periodic	periodic	ADJ
fumecheng-12816	99	2	solution	solution	NOUN
fumecheng-12816	99	3	of	of	ADP
fumecheng-12816	99	4	a	a	DET
fumecheng-12816	99	5	micro	micro	ADJ
fumecheng-12816	99	6	-	-	ADJ
fumecheng-12816	99	7	electromechanical	electromechanical	ADJ
fumecheng-12816	99	8	system	system	NOUN
fumecheng-12816	99	9	191	191	NUM
fumecheng-12816	99	10	23	23	NUM
fumecheng-12816	99	11	4	4	NUM
fumecheng-12816	99	12	1	1	NUM
fumecheng-12816	99	13	*	*	SYM
fumecheng-12816	99	14	2	2	NUM
fumecheng-12816	99	15	*	*	SYM
fumecheng-12816	99	16	0a	0a	PROPN
fumecheng-12816	99	17	k−	k−	PROPN
fumecheng-12816	100	1	−	−	PROPN
fumecheng-12816	100	2	=	=	SYM
fumecheng-12816	100	3	(	(	PUNCT
fumecheng-12816	100	4	18	18	NUM
fumecheng-12816	100	5	)	)	PUNCT
fumecheng-12816	100	6	where	where	SCONJ
fumecheng-12816	100	7	a	a	PRON
fumecheng-12816	100	8	*	*	X
fumecheng-12816	100	9	and	and	CCONJ
fumecheng-12816	100	10	k	k	X
fumecheng-12816	100	11	*	*	X
fumecheng-12816	100	12	are	be	AUX
fumecheng-12816	100	13	,	,	PUNCT
fumecheng-12816	100	14	respectively	respectively	ADV
fumecheng-12816	100	15	,	,	PUNCT
fumecheng-12816	100	16	the	the	DET
fumecheng-12816	100	17	critical	critical	ADJ
fumecheng-12816	100	18	amplitude	amplitude	NOUN
fumecheng-12816	100	19	and	and	CCONJ
fumecheng-12816	100	20	the	the	DET
fumecheng-12816	100	21	critical	critical	ADJ
fumecheng-12816	100	22	voltage	voltage	NOUN
fumecheng-12816	100	23	.	.	PUNCT
fumecheng-12816	101	1	4	4	NUM
fumecheng-12816	101	2	8	8	NUM
fumecheng-12816	101	3	*	*	PUNCT
fumecheng-12816	101	4	*	*	PUNCT
fumecheng-12816	101	5	3	3	NUM
fumecheng-12816	101	6	k	k	NOUN
fumecheng-12816	101	7	a	a	DET
fumecheng-12816	101	8	−	−	NOUN
fumecheng-12816	101	9	=	=	SYM
fumecheng-12816	101	10	(	(	PUNCT
fumecheng-12816	101	11	19	19	NUM
fumecheng-12816	101	12	)	)	PUNCT
fumecheng-12816	101	13	we	we	PRON
fumecheng-12816	101	14	can	can	AUX
fumecheng-12816	101	15	also	also	ADV
fumecheng-12816	101	16	write	write	VERB
fumecheng-12816	101	17	eq	eq	NOUN
fumecheng-12816	101	18	.	.	PUNCT
fumecheng-12816	102	1	(	(	PUNCT
fumecheng-12816	102	2	3	3	X
fumecheng-12816	102	3	)	)	PUNCT
fumecheng-12816	102	4	in	in	ADP
fumecheng-12816	102	5	the	the	DET
fumecheng-12816	102	6	form	form	NOUN
fumecheng-12816	102	7	2	2	NUM
fumecheng-12816	102	8	3	3	NUM
fumecheng-12816	102	9	2	2	NUM
fumecheng-12816	102	10	0u	0u	ADJ
fumecheng-12816	102	11	u	u	NOUN
fumecheng-12816	102	12	u	u	NOUN
fumecheng-12816	102	13	u	u	X
fumecheng-12816	102	14	u	u	NOUN
fumecheng-12816	102	15	ku	ku	PROPN
fumecheng-12816	102	16	−	−	NOUN
fumecheng-12816	102	17	+	+	CCONJ
fumecheng-12816	103	1	−	−	PROPN
fumecheng-12816	103	2	−	−	PROPN
fumecheng-12816	103	3	=	=	SYM
fumecheng-12816	103	4	(	(	PUNCT
fumecheng-12816	103	5	20	20	NUM
fumecheng-12816	103	6	)	)	PUNCT
fumecheng-12816	103	7	where	where	SCONJ
fumecheng-12816	103	8	h	h	NOUN
fumecheng-12816	103	9	can	can	AUX
fumecheng-12816	103	10	be	be	AUX
fumecheng-12816	103	11	expressed	express	VERB
fumecheng-12816	103	12	as	as	ADP
fumecheng-12816	103	13	2	2	NUM
fumecheng-12816	103	14	3	3	NUM
fumecheng-12816	103	15	2h	2h	NUM
fumecheng-12816	103	16	u	u	NOUN
fumecheng-12816	103	17	u	u	NOUN
fumecheng-12816	103	18	u	u	NOUN
fumecheng-12816	103	19	u	u	NOUN
fumecheng-12816	103	20	ku=	ku=	PROPN
fumecheng-12816	103	21	−	−	PROPN
fumecheng-12816	104	1	+	+	CCONJ
fumecheng-12816	104	2	−	−	PROPN
fumecheng-12816	105	1	−	−	PROPN
fumecheng-12816	105	2	(	(	PUNCT
fumecheng-12816	105	3	21	21	NUM
fumecheng-12816	105	4	)	)	PUNCT
fumecheng-12816	105	5	according	accord	VERB
fumecheng-12816	105	6	to	to	ADP
fumecheng-12816	105	7	the	the	DET
fumecheng-12816	105	8	frequency	frequency	NOUN
fumecheng-12816	105	9	formulation	formulation	NOUN
fumecheng-12816	105	10	given	give	VERB
fumecheng-12816	105	11	in	in	ADP
fumecheng-12816	105	12	eq	eq	ADP
fumecheng-12816	105	13	.	.	PUNCT
fumecheng-12816	106	1	(	(	PUNCT
fumecheng-12816	106	2	14	14	NUM
fumecheng-12816	106	3	)	)	PUNCT
fumecheng-12816	106	4	,	,	PUNCT
fumecheng-12816	106	5	we	we	PRON
fumecheng-12816	106	6	have	have	VERB
fumecheng-12816	106	7	2	2	NUM
fumecheng-12816	106	8	2	2	NUM
fumecheng-12816	106	9	2	2	NUM
fumecheng-12816	106	10	2	2	NUM
fumecheng-12816	106	11	2	2	NUM
fumecheng-12816	106	12	2	2	NUM
fumecheng-12816	106	13	3	3	NUM
fumecheng-12816	106	14	/2	/2	NUM
fumecheng-12816	106	15	3	3	NUM
fumecheng-12816	106	16	/2	/2	SYM
fumecheng-12816	106	17	3	3	NUM
fumecheng-12816	106	18	3	3	NUM
fumecheng-12816	106	19	1	1	NUM
fumecheng-12816	106	20	2	2	NUM
fumecheng-12816	106	21	1	1	NUM
fumecheng-12816	106	22	2	2	NUM
fumecheng-12816	106	23	4	4	NUM
fumecheng-12816	106	24	4	4	NUM
fumecheng-12816	106	25	u	u	NOUN
fumecheng-12816	106	26	a	a	DET
fumecheng-12816	106	27	u	u	NOUN
fumecheng-12816	106	28	a	a	DET
fumecheng-12816	106	29	u	u	X
fumecheng-12816	106	30	u	u	X
fumecheng-12816	106	31	u	u	NOUN
fumecheng-12816	106	32	k	k	PROPN
fumecheng-12816	106	33	a	a	DET
fumecheng-12816	106	34	a	a	X
fumecheng-12816	106	35	k	k	X
fumecheng-12816	107	1			X
fumecheng-12816	107	2			X
fumecheng-12816	107	3	=	=	PROPN
fumecheng-12816	107	4	=−	=−	VERB
fumecheng-12816	107	5			PROPN
fumecheng-12816	107	6	=	=	NOUN
fumecheng-12816	107	7	−	−	PROPN
fumecheng-12816	108	1	+	+	CCONJ
fumecheng-12816	108	2	−	−	PROPN
fumecheng-12816	108	3	−	−	PROPN
fumecheng-12816	109	1	=	=	SYM
fumecheng-12816	110	1	+	+	NUM
fumecheng-12816	110	2	−	−	PROPN
fumecheng-12816	110	3	−	−	PROPN
fumecheng-12816	110	4			PROPN
fumecheng-12816	110	5	(	(	PUNCT
fumecheng-12816	110	6	22	22	NUM
fumecheng-12816	110	7	)	)	PUNCT
fumecheng-12816	110	8	eq	eq	NOUN
fumecheng-12816	110	9	.	.	PUNCT
fumecheng-12816	111	1	(	(	PUNCT
fumecheng-12816	111	2	22	22	NUM
fumecheng-12816	111	3	)	)	PUNCT
fumecheng-12816	111	4	is	be	AUX
fumecheng-12816	111	5	equivalent	equivalent	ADJ
fumecheng-12816	111	6	to	to	ADP
fumecheng-12816	111	7	eq	eq	PROPN
fumecheng-12816	111	8	.	.	PUNCT
fumecheng-12816	112	1	(	(	PUNCT
fumecheng-12816	112	2	17	17	NUM
fumecheng-12816	112	3	)	)	PUNCT
fumecheng-12816	112	4	.	.	PUNCT
fumecheng-12816	113	1	in	in	ADP
fumecheng-12816	113	2	view	view	NOUN
fumecheng-12816	113	3	of	of	ADP
fumecheng-12816	113	4	eq	eq	PROPN
fumecheng-12816	113	5	.	.	PUNCT
fumecheng-12816	114	1	(	(	PUNCT
fumecheng-12816	114	2	13	13	NUM
fumecheng-12816	114	3	)	)	PUNCT
fumecheng-12816	114	4	,	,	PUNCT
fumecheng-12816	114	5	we	we	PRON
fumecheng-12816	114	6	have	have	VERB
fumecheng-12816	114	7	the	the	DET
fumecheng-12816	114	8	following	follow	VERB
fumecheng-12816	114	9	frequencyamplitude	frequencyamplitude	NOUN
fumecheng-12816	114	10	relationship	relationship	NOUN
fumecheng-12816	114	11	2	2	NUM
fumecheng-12816	114	12	2	2	NUM
fumecheng-12816	114	13	23	23	NUM
fumecheng-12816	114	14	234	234	NUM
fumecheng-12816	114	15	4	4	NUM
fumecheng-12816	114	16	2	2	NUM
fumecheng-12816	114	17	2	2	NUM
fumecheng-12816	114	18	2	2	NUM
fumecheng-12816	114	19	1	1	NUM
fumecheng-12816	114	20	1	1	NUM
fumecheng-12816	114	21	1	1	NUM
fumecheng-12816	114	22	1	1	NUM
fumecheng-12816	114	23	(	(	PUNCT
fumecheng-12816	114	24	)	)	PUNCT
fumecheng-12816	115	1	k	k	PROPN
fumecheng-12816	115	2	k	k	PROPN
fumecheng-12816	116	1	a	a	DET
fumecheng-12816	116	2	q	q	X
fumecheng-12816	116	3	p	p	X
fumecheng-12816	116	4			X
fumecheng-12816	116	5			X
fumecheng-12816	116	6	=	=	PUNCT
fumecheng-12816	116	7	−	−	PROPN
fumecheng-12816	116	8	=	=	PUNCT
fumecheng-12816	116	9	−	−	PROPN
fumecheng-12816	116	10	−	−	PROPN
fumecheng-12816	117	1	−	−	PROPN
fumecheng-12816	117	2	+	+	CCONJ
fumecheng-12816	117	3	(	(	PUNCT
fumecheng-12816	117	4	23	23	NUM
fumecheng-12816	117	5	)	)	PUNCT
fumecheng-12816	117	6	or	or	CCONJ
fumecheng-12816	117	7	2	2	NUM
fumecheng-12816	117	8	2	2	NUM
fumecheng-12816	117	9	2	2	NUM
fumecheng-12816	117	10	2	2	NUM
fumecheng-12816	117	11	2	2	NUM
fumecheng-12816	117	12	2	2	NUM
fumecheng-12816	117	13	2	2	NUM
fumecheng-12816	117	14	2	2	NUM
fumecheng-12816	117	15	(	(	PUNCT
fumecheng-12816	117	16	4	4	NUM
fumecheng-12816	117	17	3	3	NUM
fumecheng-12816	117	18	3	3	NUM
fumecheng-12816	117	19	8	8	NUM
fumecheng-12816	117	20	)	)	PUNCT
fumecheng-12816	117	21	(	(	PUNCT
fumecheng-12816	117	22	4	4	NUM
fumecheng-12816	117	23	3	3	NUM
fumecheng-12816	117	24	3	3	NUM
fumecheng-12816	117	25	8	8	NUM
fumecheng-12816	117	26	)	)	PUNCT
fumecheng-12816	117	27	12(4	12(4	NUM
fumecheng-12816	117	28	3	3	NUM
fumecheng-12816	117	29	)	)	PUNCT
fumecheng-12816	117	30	2(4	2(4	NUM
fumecheng-12816	117	31	3	3	NUM
fumecheng-12816	117	32	)	)	PUNCT
fumecheng-12816	118	1	q	q	NOUN
fumecheng-12816	119	1	p	p	X
fumecheng-12816	119	2	k	k	X
fumecheng-12816	119	3	q	q	X
fumecheng-12816	120	1	p	p	X
fumecheng-12816	120	2	k	k	X
fumecheng-12816	121	1	p	p	X
fumecheng-12816	121	2	q	q	X
fumecheng-12816	121	3	p	p	X
fumecheng-12816	121	4			X
fumecheng-12816	121	5	+	+	CCONJ
fumecheng-12816	121	6	−	−	ADP
fumecheng-12816	121	7	−	−	PROPN
fumecheng-12816	122	1	+	+	CCONJ
fumecheng-12816	122	2	+	+	NUM
fumecheng-12816	122	3	−	−	ADP
fumecheng-12816	122	4	−	−	NUM
fumecheng-12816	122	5	−	−	NOUN
fumecheng-12816	123	1	−	−	PROPN
fumecheng-12816	123	2	=	=	SYM
fumecheng-12816	124	1	−	−	PROPN
fumecheng-12816	124	2	(	(	PUNCT
fumecheng-12816	124	3	24	24	NUM
fumecheng-12816	124	4	)	)	PUNCT
fumecheng-12816	124	5	the	the	DET
fumecheng-12816	124	6	relationship	relationship	NOUN
fumecheng-12816	124	7	between	between	ADP
fumecheng-12816	124	8	the	the	DET
fumecheng-12816	124	9	critical	critical	ADJ
fumecheng-12816	124	10	voltage	voltage	NOUN
fumecheng-12816	124	11	k	k	NOUN
fumecheng-12816	124	12	*	*	PUNCT
fumecheng-12816	124	13	and	and	CCONJ
fumecheng-12816	124	14	the	the	DET
fumecheng-12816	124	15	initial	initial	ADJ
fumecheng-12816	124	16	conditions	condition	NOUN
fumecheng-12816	124	17	is	be	AUX
fumecheng-12816	124	18	2	2	NUM
fumecheng-12816	124	19	2	2	NUM
fumecheng-12816	124	20	2	2	NUM
fumecheng-12816	124	21	2	2	NUM
fumecheng-12816	124	22	2(4	2(4	NUM
fumecheng-12816	124	23	3	3	NUM
fumecheng-12816	124	24	3	3	NUM
fumecheng-12816	124	25	8	8	NUM
fumecheng-12816	124	26	*	*	PUNCT
fumecheng-12816	124	27	)	)	PUNCT
fumecheng-12816	124	28	12(4	12(4	NUM
fumecheng-12816	124	29	3	3	NUM
fumecheng-12816	124	30	)	)	PUNCT
fumecheng-12816	124	31	0q	0q	NOUN
fumecheng-12816	124	32	p	p	PROPN
fumecheng-12816	124	33	k	k	PROPN
fumecheng-12816	124	34	p	p	X
fumecheng-12816	125	1	q+	q+	ADP
fumecheng-12816	125	2	−	−	PROPN
fumecheng-12816	125	3	−	−	PROPN
fumecheng-12816	126	1	−	−	NOUN
fumecheng-12816	126	2	−	−	PROPN
fumecheng-12816	127	1	=	=	SYM
fumecheng-12816	127	2	(	(	PUNCT
fumecheng-12816	127	3	25	25	NUM
fumecheng-12816	127	4	)	)	PUNCT
fumecheng-12816	127	5	in	in	ADP
fumecheng-12816	127	6	order	order	NOUN
fumecheng-12816	127	7	to	to	PART
fumecheng-12816	127	8	verify	verify	VERB
fumecheng-12816	127	9	the	the	DET
fumecheng-12816	127	10	results	result	NOUN
fumecheng-12816	127	11	,	,	PUNCT
fumecheng-12816	127	12	we	we	PRON
fumecheng-12816	127	13	consider	consider	VERB
fumecheng-12816	127	14	two	two	NUM
fumecheng-12816	127	15	cases	case	NOUN
fumecheng-12816	127	16	when	when	SCONJ
fumecheng-12816	127	17	p	p	X
fumecheng-12816	127	18	=	=	NOUN
fumecheng-12816	127	19	a=0.1	a=0.1	ADJ
fumecheng-12816	127	20	,	,	PUNCT
fumecheng-12816	127	21	q=0	q=0	NOUN
fumecheng-12816	127	22	and	and	CCONJ
fumecheng-12816	127	23	p	p	X
fumecheng-12816	127	24	=	=	NOUN
fumecheng-12816	127	25	a=0.5	a=0.5	NUM
fumecheng-12816	127	26	,	,	PUNCT
fumecheng-12816	127	27	q=0	q=0	NOUN
fumecheng-12816	127	28	.	.	PUNCT
fumecheng-12816	128	1	for	for	ADP
fumecheng-12816	128	2	the	the	DET
fumecheng-12816	128	3	first	first	ADJ
fumecheng-12816	128	4	case	case	NOUN
fumecheng-12816	128	5	,	,	PUNCT
fumecheng-12816	128	6	according	accord	VERB
fumecheng-12816	128	7	to	to	ADP
fumecheng-12816	128	8	eq	eq	PROPN
fumecheng-12816	128	9	.	.	PUNCT
fumecheng-12816	128	10	(	(	PUNCT
fumecheng-12816	128	11	18	18	NUM
fumecheng-12816	128	12	)	)	PUNCT
fumecheng-12816	128	13	,	,	PUNCT
fumecheng-12816	128	14	the	the	DET
fumecheng-12816	128	15	pull	pull	NOUN
fumecheng-12816	128	16	-	-	PUNCT
fumecheng-12816	128	17	in	in	ADP
fumecheng-12816	128	18	voltage	voltage	NOUN
fumecheng-12816	128	19	can	can	AUX
fumecheng-12816	128	20	be	be	AUX
fumecheng-12816	128	21	calculated	calculate	VERB
fumecheng-12816	128	22	as	as	ADP
fumecheng-12816	128	23	23	23	NUM
fumecheng-12816	128	24	4	4	NUM
fumecheng-12816	128	25	1	1	NUM
fumecheng-12816	128	26	*	*	PUNCT
fumecheng-12816	128	27	(	(	PUNCT
fumecheng-12816	128	28	1	1	NUM
fumecheng-12816	128	29	0	0	NUM
fumecheng-12816	128	30	.	.	NUM
fumecheng-12816	129	1	541	541	NUM
fumecheng-12816	129	2	)	)	PUNCT
fumecheng-12816	129	3	2	2	NUM
fumecheng-12816	129	4	0	0	NUM
fumecheng-12816	129	5	.	.	PUNCT
fumecheng-12816	129	6	962k	962k	PROPN
fumecheng-12816	129	7	=	=	PUNCT
fumecheng-12816	130	1	−	−	PROPN
fumecheng-12816	130	2			NOUN
fumecheng-12816	130	3	=	=	SYM
fumecheng-12816	130	4	(	(	PUNCT
fumecheng-12816	130	5	26	26	NUM
fumecheng-12816	130	6	)	)	PUNCT
fumecheng-12816	130	7	while	while	SCONJ
fumecheng-12816	130	8	the	the	DET
fumecheng-12816	130	9	exact	exact	ADJ
fumecheng-12816	130	10	value	value	NOUN
fumecheng-12816	130	11	is	be	AUX
fumecheng-12816	130	12	k*=0.4951	k*=0.4951	PROPN
fumecheng-12816	130	13	(	(	PUNCT
fumecheng-12816	130	14	see	see	VERB
fumecheng-12816	130	15	fig.2a	fig.2a	VERB
fumecheng-12816	130	16	)	)	PUNCT
fumecheng-12816	130	17	with	with	ADP
fumecheng-12816	130	18	a	a	DET
fumecheng-12816	130	19	relative	relative	ADJ
fumecheng-12816	130	20	error	error	NOUN
fumecheng-12816	130	21	of	of	ADP
fumecheng-12816	130	22	0.23	0.23	NUM
fumecheng-12816	130	23	%	%	NOUN
fumecheng-12816	130	24	.	.	PUNCT
fumecheng-12816	131	1	for	for	ADP
fumecheng-12816	131	2	the	the	DET
fumecheng-12816	131	3	case	case	NOUN
fumecheng-12816	131	4	of	of	ADP
fumecheng-12816	131	5	a=0.3	a=0.3	ADJ
fumecheng-12816	131	6	,	,	PUNCT
fumecheng-12816	131	7	we	we	PRON
fumecheng-12816	131	8	have	have	VERB
fumecheng-12816	131	9	23	23	NUM
fumecheng-12816	131	10	4	4	NUM
fumecheng-12816	131	11	1	1	NUM
fumecheng-12816	131	12	*	*	PUNCT
fumecheng-12816	131	13	(	(	PUNCT
fumecheng-12816	131	14	1	1	NUM
fumecheng-12816	131	15	0	0	NUM
fumecheng-12816	131	16	.	.	NOUN
fumecheng-12816	131	17	543	543	NUM
fumecheng-12816	131	18	)	)	PUNCT
fumecheng-12816	131	19	2	2	NUM
fumecheng-12816	131	20	662	662	NUM
fumecheng-12816	131	21	0.k	0.k	NUM
fumecheng-12816	131	22	=	=	PUNCT
fumecheng-12816	131	23	−	−	ADP
fumecheng-12816	131	24			NOUN
fumecheng-12816	131	25	=	=	SYM
fumecheng-12816	131	26	(	(	PUNCT
fumecheng-12816	131	27	27	27	NUM
fumecheng-12816	131	28	)	)	PUNCT
fumecheng-12816	131	29	while	while	SCONJ
fumecheng-12816	131	30	the	the	DET
fumecheng-12816	131	31	exact	exact	ADJ
fumecheng-12816	131	32	value	value	NOUN
fumecheng-12816	131	33	is	be	AUX
fumecheng-12816	131	34	k*=0.3751	k*=0.3751	PROPN
fumecheng-12816	131	35	(	(	PUNCT
fumecheng-12816	131	36	see	see	VERB
fumecheng-12816	131	37	fig.2b	fig.2b	NOUN
fumecheng-12816	131	38	)	)	PUNCT
fumecheng-12816	131	39	with	with	ADP
fumecheng-12816	131	40	a	a	DET
fumecheng-12816	131	41	relative	relative	ADJ
fumecheng-12816	131	42	error	error	NOUN
fumecheng-12816	131	43	of	of	ADP
fumecheng-12816	131	44	6.75	6.75	NUM
fumecheng-12816	131	45	%	%	NOUN
fumecheng-12816	131	46	.	.	PUNCT
fumecheng-12816	132	1	for	for	ADP
fumecheng-12816	132	2	the	the	DET
fumecheng-12816	132	3	case	case	NOUN
fumecheng-12816	132	4	of	of	ADP
fumecheng-12816	132	5	a=0.5	a=0.5	NUM
fumecheng-12816	132	6	,	,	PUNCT
fumecheng-12816	132	7	we	we	PRON
fumecheng-12816	132	8	have	have	VERB
fumecheng-12816	132	9	23	23	NUM
fumecheng-12816	132	10	4	4	NUM
fumecheng-12816	132	11	1	1	NUM
fumecheng-12816	132	12	*	*	PUNCT
fumecheng-12816	132	13	(	(	PUNCT
fumecheng-12816	132	14	1	1	NUM
fumecheng-12816	132	15	0.5	0.5	NUM
fumecheng-12816	132	16	)	)	PUNCT
fumecheng-12816	132	17	0.40625	0.40625	NUM
fumecheng-12816	132	18	2	2	NUM
fumecheng-12816	132	19	k	k	NOUN
fumecheng-12816	132	20	=	=	PUNCT
fumecheng-12816	132	21	−	−	PROPN
fumecheng-12816	132	22			NOUN
fumecheng-12816	132	23	=	=	SYM
fumecheng-12816	132	24	(	(	PUNCT
fumecheng-12816	132	25	28	28	NUM
fumecheng-12816	132	26	)	)	PUNCT
fumecheng-12816	132	27	while	while	SCONJ
fumecheng-12816	132	28	the	the	DET
fumecheng-12816	132	29	exact	exact	ADJ
fumecheng-12816	132	30	value	value	NOUN
fumecheng-12816	132	31	is	be	AUX
fumecheng-12816	132	32	k*=0.5	k*=0.5	PROPN
fumecheng-12816	132	33	(	(	PUNCT
fumecheng-12816	132	34	see	see	VERB
fumecheng-12816	132	35	fig	fig	NOUN
fumecheng-12816	132	36	.	.	PUNCT
fumecheng-12816	133	1	2c	2c	NOUN
fumecheng-12816	133	2	)	)	PUNCT
fumecheng-12816	133	3	with	with	ADP
fumecheng-12816	133	4	a	a	DET
fumecheng-12816	133	5	relative	relative	ADJ
fumecheng-12816	133	6	error	error	NOUN
fumecheng-12816	133	7	of	of	ADP
fumecheng-12816	133	8	8.3	8.3	NUM
fumecheng-12816	133	9	%	%	NOUN
fumecheng-12816	133	10	.	.	PUNCT
fumecheng-12816	134	1	192	192	NUM
fumecheng-12816	134	2	j.-h	j.-h	NOUN
fumecheng-12816	134	3	.	.	PUNCT
fumecheng-12816	135	1	he	he	PRON
fumecheng-12816	135	2	a	a	X
fumecheng-12816	135	3	)	)	PUNCT
fumecheng-12816	135	4	b	b	NOUN
fumecheng-12816	135	5	)	)	PUNCT
fumecheng-12816	135	6	c	c	NOUN
fumecheng-12816	135	7	)	)	PUNCT
fumecheng-12816	135	8	fig	fig	NOUN
fumecheng-12816	135	9	.	.	PUNCT
fumecheng-12816	136	1	2	2	NUM
fumecheng-12816	136	2	phase	phase	NOUN
fumecheng-12816	136	3	diagram	diagram	NOUN
fumecheng-12816	136	4	.	.	PUNCT
fumecheng-12816	137	1	(	(	PUNCT
fumecheng-12816	137	2	a	a	X
fumecheng-12816	137	3	)	)	PUNCT
fumecheng-12816	137	4	a=0.1	a=0.1	NOUN
fumecheng-12816	137	5	;	;	PUNCT
fumecheng-12816	137	6	(	(	PUNCT
fumecheng-12816	137	7	b	b	X
fumecheng-12816	137	8	)	)	PUNCT
fumecheng-12816	137	9	a=0.3	a=0.3	NOUN
fumecheng-12816	137	10	(	(	PUNCT
fumecheng-12816	137	11	c	c	NOUN
fumecheng-12816	137	12	)	)	PUNCT
fumecheng-12816	137	13	a=0.5	a=0.5	NOUN
fumecheng-12816	137	14	periodic	periodic	ADJ
fumecheng-12816	137	15	solution	solution	NOUN
fumecheng-12816	137	16	of	of	ADP
fumecheng-12816	137	17	a	a	DET
fumecheng-12816	137	18	micro	micro	ADJ
fumecheng-12816	137	19	-	-	ADJ
fumecheng-12816	137	20	electromechanical	electromechanical	ADJ
fumecheng-12816	137	21	system	system	NOUN
fumecheng-12816	137	22	193	193	NUM
fumecheng-12816	137	23	to	to	PART
fumecheng-12816	137	24	improve	improve	VERB
fumecheng-12816	137	25	the	the	DET
fumecheng-12816	137	26	prediction	prediction	NOUN
fumecheng-12816	137	27	accuracy	accuracy	NOUN
fumecheng-12816	137	28	for	for	ADP
fumecheng-12816	137	29	k	k	PROPN
fumecheng-12816	137	30	*	*	PUNCT
fumecheng-12816	137	31	,	,	PUNCT
fumecheng-12816	137	32	we	we	PRON
fumecheng-12816	137	33	can	can	AUX
fumecheng-12816	137	34	use	use	VERB
fumecheng-12816	137	35	eq.(7	eq.(7	NOUN
fumecheng-12816	137	36	)	)	PUNCT
fumecheng-12816	137	37	to	to	PART
fumecheng-12816	137	38	give	give	VERB
fumecheng-12816	137	39	an	an	DET
fumecheng-12816	137	40	exact	exact	ADJ
fumecheng-12816	137	41	relationship	relationship	NOUN
fumecheng-12816	137	42	between	between	ADP
fumecheng-12816	137	43	the	the	DET
fumecheng-12816	137	44	critical	critical	ADJ
fumecheng-12816	137	45	voltage	voltage	NOUN
fumecheng-12816	137	46	(	(	PUNCT
fumecheng-12816	137	47	k	k	NOUN
fumecheng-12816	137	48	*	*	PUNCT
fumecheng-12816	137	49	)	)	PUNCT
fumecheng-12816	137	50	and	and	CCONJ
fumecheng-12816	137	51	the	the	DET
fumecheng-12816	137	52	critical	critical	ADJ
fumecheng-12816	137	53	amplitude	amplitude	NOUN
fumecheng-12816	137	54	(	(	PUNCT
fumecheng-12816	137	55	a	a	PRON
fumecheng-12816	137	56	*	*	ADJ
fumecheng-12816	137	57	):	):	PUNCT
fumecheng-12816	137	58			ADJ
fumecheng-12816	137	59	21	21	NOUN
fumecheng-12816	137	60	*	*	PUNCT
fumecheng-12816	138	1	*	*	PUNCT
fumecheng-12816	138	2	ln(1	ln(1	NOUN
fumecheng-12816	138	3	*	*	PUNCT
fumecheng-12816	138	4	)	)	PUNCT
fumecheng-12816	139	1	ln(1	ln(1	NOUN
fumecheng-12816	139	2	*	*	PUNCT
fumecheng-12816	139	3	)	)	PUNCT
fumecheng-12816	139	4	2	2	NUM
fumecheng-12816	139	5	a	a	DET
fumecheng-12816	139	6	k	k	NOUN
fumecheng-12816	139	7	a	a	DET
fumecheng-12816	139	8	a	a	DET
fumecheng-12816	139	9	h+	h+	NOUN
fumecheng-12816	139	10	−	−	X
fumecheng-12816	139	11	+	+	SYM
fumecheng-12816	139	12	+	+	CCONJ
fumecheng-12816	139	13	=	=	SYM
fumecheng-12816	139	14	(	(	PUNCT
fumecheng-12816	139	15	29	29	NUM
fumecheng-12816	139	16	)	)	PUNCT
fumecheng-12816	139	17	where	where	SCONJ
fumecheng-12816	139	18	h	h	NOUN
fumecheng-12816	139	19	is	be	AUX
fumecheng-12816	139	20	determined	determine	VERB
fumecheng-12816	139	21	by	by	ADP
fumecheng-12816	139	22	the	the	DET
fumecheng-12816	139	23	initial	initial	ADJ
fumecheng-12816	139	24	conditions	condition	NOUN
fumecheng-12816	139	25	fig.3	fig.3	PROPN
fumecheng-12816	139	26	,	,	PUNCT
fumecheng-12816	139	27	fig.4	fig.4	PROPN
fumecheng-12816	139	28	and	and	CCONJ
fumecheng-12816	139	29	fig.5	fig.5	PROPN
fumecheng-12816	139	30	compare	compare	VERB
fumecheng-12816	139	31	the	the	DET
fumecheng-12816	139	32	approximate	approximate	ADJ
fumecheng-12816	139	33	solutions	solution	NOUN
fumecheng-12816	139	34	with	with	ADP
fumecheng-12816	139	35	the	the	DET
fumecheng-12816	139	36	numerical	numerical	ADJ
fumecheng-12816	139	37	solutions	solution	NOUN
fumecheng-12816	139	38	for	for	ADP
fumecheng-12816	139	39	a=0.1	a=0.1	ADJ
fumecheng-12816	139	40	,	,	PUNCT
fumecheng-12816	139	41	0.3	0.3	NUM
fumecheng-12816	139	42	and	and	CCONJ
fumecheng-12816	139	43	0.5	0.5	NUM
fumecheng-12816	139	44	,	,	PUNCT
fumecheng-12816	139	45	respectively	respectively	ADV
fumecheng-12816	139	46	,	,	PUNCT
fumecheng-12816	139	47	,	,	PUNCT
fumecheng-12816	139	48	and	and	CCONJ
fumecheng-12816	139	49	a	a	DET
fumecheng-12816	139	50	good	good	ADJ
fumecheng-12816	139	51	agreement	agreement	NOUN
fumecheng-12816	139	52	is	be	AUX
fumecheng-12816	139	53	found	find	VERB
fumecheng-12816	139	54	,	,	PUNCT
fumecheng-12816	139	55	showing	show	VERB
fumecheng-12816	139	56	the	the	DET
fumecheng-12816	139	57	method	method	NOUN
fumecheng-12816	139	58	is	be	AUX
fumecheng-12816	139	59	reliable	reliable	ADJ
fumecheng-12816	139	60	.	.	PUNCT
fumecheng-12816	140	1	it	it	PRON
fumecheng-12816	140	2	can	can	AUX
fumecheng-12816	140	3	be	be	AUX
fumecheng-12816	140	4	found	find	VERB
fumecheng-12816	140	5	that	that	SCONJ
fumecheng-12816	140	6	the	the	DET
fumecheng-12816	140	7	errors	error	NOUN
fumecheng-12816	140	8	become	become	VERB
fumecheng-12816	140	9	larger	large	ADJ
fumecheng-12816	140	10	for	for	ADP
fumecheng-12816	140	11	a	a	DET
fumecheng-12816	140	12	larger	large	ADJ
fumecheng-12816	140	13	k.	k.	NOUN
fumecheng-12816	140	14	this	this	PRON
fumecheng-12816	140	15	is	be	AUX
fumecheng-12816	140	16	because	because	SCONJ
fumecheng-12816	140	17	when	when	SCONJ
fumecheng-12816	140	18	k	k	X
fumecheng-12816	140	19	>	>	X
fumecheng-12816	140	20	k	k	PROPN
fumecheng-12816	140	21	*	*	PROPN
fumecheng-12816	140	22	,	,	PUNCT
fumecheng-12816	140	23	the	the	DET
fumecheng-12816	140	24	pull	pull	NOUN
fumecheng-12816	140	25	-	-	PUNCT
fumecheng-12816	140	26	in	in	ADP
fumecheng-12816	140	27	instability	instability	NOUN
fumecheng-12816	140	28	occurs	occur	VERB
fumecheng-12816	140	29	,	,	PUNCT
fumecheng-12816	140	30	so	so	CCONJ
fumecheng-12816	140	31	when	when	SCONJ
fumecheng-12816	140	32	k	k	PROPN
fumecheng-12816	140	33	tends	tend	VERB
fumecheng-12816	140	34	to	to	ADP
fumecheng-12816	140	35	k	k	PROPN
fumecheng-12816	140	36	*	*	VERB
fumecheng-12816	140	37	,	,	PUNCT
fumecheng-12816	140	38	the	the	DET
fumecheng-12816	140	39	periodic	periodic	ADJ
fumecheng-12816	140	40	motion	motion	NOUN
fumecheng-12816	140	41	tends	tend	VERB
fumecheng-12816	140	42	gradually	gradually	ADV
fumecheng-12816	140	43	to	to	ADP
fumecheng-12816	140	44	the	the	DET
fumecheng-12816	140	45	pull	pull	VERB
fumecheng-12816	140	46	-	-	PUNCT
fumecheng-12816	140	47	in	in	ADP
fumecheng-12816	140	48	instability	instability	NOUN
fumecheng-12816	140	49	.	.	PUNCT
fumecheng-12816	141	1	a	a	DET
fumecheng-12816	141	2	)	)	PUNCT
fumecheng-12816	141	3	b	b	NOUN
fumecheng-12816	141	4	)	)	PUNCT
fumecheng-12816	141	5	fig	fig	NOUN
fumecheng-12816	141	6	.	.	PUNCT
fumecheng-12816	142	1	3	3	NUM
fumecheng-12816	142	2	exact	exact	ADJ
fumecheng-12816	142	3	solution	solution	NOUN
fumecheng-12816	142	4	(	(	PUNCT
fumecheng-12816	142	5	continnued	continnue	VERB
fumecheng-12816	142	6	line	line	NOUN
fumecheng-12816	142	7	)	)	PUNCT
fumecheng-12816	142	8	vs	vs	ADP
fumecheng-12816	142	9	approximate	approximate	ADJ
fumecheng-12816	142	10	solution	solution	NOUN
fumecheng-12816	142	11	(	(	PUNCT
fumecheng-12816	142	12	discontinous	discontinous	ADJ
fumecheng-12816	142	13	line	line	NOUN
fumecheng-12816	142	14	)	)	PUNCT
fumecheng-12816	142	15	for	for	ADP
fumecheng-12816	142	16	a=0.1	a=0.1	NOUN
fumecheng-12816	142	17	.	.	PUNCT
fumecheng-12816	143	1	(	(	PUNCT
fumecheng-12816	143	2	a	a	X
fumecheng-12816	143	3	)	)	PUNCT
fumecheng-12816	143	4	k=0.4	k=0.4	PUNCT
fumecheng-12816	143	5	;	;	PUNCT
fumecheng-12816	143	6	(	(	PUNCT
fumecheng-12816	143	7	b	b	X
fumecheng-12816	143	8	)	)	PUNCT
fumecheng-12816	143	9	k=0.49	k=0.49	NOUN
fumecheng-12816	143	10	with	with	ADP
fumecheng-12816	143	11	k*=0.4951	k*=0.4951	PROPN
fumecheng-12816	143	12	194	194	NUM
fumecheng-12816	143	13	j.-h	j.-h	NOUN
fumecheng-12816	143	14	.	.	PUNCT
fumecheng-12816	144	1	he	he	PRON
fumecheng-12816	144	2	a	a	X
fumecheng-12816	144	3	)	)	PUNCT
fumecheng-12816	144	4	b	b	NOUN
fumecheng-12816	144	5	)	)	PUNCT
fumecheng-12816	144	6	c	c	NOUN
fumecheng-12816	144	7	)	)	PUNCT
fumecheng-12816	144	8	fig	fig	NOUN
fumecheng-12816	144	9	.	.	PUNCT
fumecheng-12816	145	1	4	4	NUM
fumecheng-12816	145	2	exact	exact	ADJ
fumecheng-12816	145	3	solution	solution	NOUN
fumecheng-12816	145	4	(	(	PUNCT
fumecheng-12816	145	5	continued	continue	VERB
fumecheng-12816	145	6	line	line	NOUN
fumecheng-12816	145	7	)	)	PUNCT
fumecheng-12816	145	8	vs	vs	ADP
fumecheng-12816	145	9	approximate	approximate	ADJ
fumecheng-12816	145	10	solution	solution	NOUN
fumecheng-12816	145	11	(	(	PUNCT
fumecheng-12816	145	12	discontinous	discontinous	ADJ
fumecheng-12816	145	13	line	line	NOUN
fumecheng-12816	145	14	)	)	PUNCT
fumecheng-12816	145	15	for	for	ADP
fumecheng-12816	145	16	a=0.3	a=0.3	NOUN
fumecheng-12816	145	17	.	.	PUNCT
fumecheng-12816	146	1	(	(	PUNCT
fumecheng-12816	146	2	a	a	X
fumecheng-12816	146	3	)	)	PUNCT
fumecheng-12816	146	4	k=0.2	k=0.2	NOUN
fumecheng-12816	146	5	;	;	PUNCT
fumecheng-12816	146	6	(	(	PUNCT
fumecheng-12816	146	7	b	b	X
fumecheng-12816	146	8	)	)	PUNCT
fumecheng-12816	146	9	k=0.3	k=0.3	ADV
fumecheng-12816	146	10	;	;	PUNCT
fumecheng-12816	146	11	(	(	PUNCT
fumecheng-12816	146	12	c	c	X
fumecheng-12816	146	13	)	)	PUNCT
fumecheng-12816	146	14	k=0.32	k=0.32	NOUN
fumecheng-12816	146	15	with	with	ADP
fumecheng-12816	146	16	k*=0.50	k*=0.50	X
fumecheng-12816	146	17	periodic	periodic	ADJ
fumecheng-12816	146	18	solution	solution	NOUN
fumecheng-12816	146	19	of	of	ADP
fumecheng-12816	146	20	a	a	DET
fumecheng-12816	146	21	micro	micro	ADJ
fumecheng-12816	146	22	-	-	ADJ
fumecheng-12816	146	23	electromechanical	electromechanical	ADJ
fumecheng-12816	146	24	system	system	NOUN
fumecheng-12816	146	25	195	195	NUM
fumecheng-12816	146	26	a	a	NOUN
fumecheng-12816	146	27	)	)	PUNCT
fumecheng-12816	146	28	b	b	NOUN
fumecheng-12816	146	29	)	)	PUNCT
fumecheng-12816	146	30	c	c	NOUN
fumecheng-12816	146	31	)	)	PUNCT
fumecheng-12816	146	32	fig	fig	NOUN
fumecheng-12816	146	33	.	.	PUNCT
fumecheng-12816	147	1	5	5	NUM
fumecheng-12816	147	2	exact	exact	ADJ
fumecheng-12816	147	3	solution	solution	NOUN
fumecheng-12816	147	4	(	(	PUNCT
fumecheng-12816	147	5	continued	continue	VERB
fumecheng-12816	147	6	line	line	NOUN
fumecheng-12816	147	7	)	)	PUNCT
fumecheng-12816	147	8	vs	vs	ADP
fumecheng-12816	147	9	approximate	approximate	ADJ
fumecheng-12816	147	10	solution	solution	NOUN
fumecheng-12816	147	11	(	(	PUNCT
fumecheng-12816	147	12	discontinuous	discontinuous	ADJ
fumecheng-12816	147	13	line	line	NOUN
fumecheng-12816	147	14	)	)	PUNCT
fumecheng-12816	147	15	for	for	ADP
fumecheng-12816	147	16	a=0.5	a=0.5	NUM
fumecheng-12816	147	17	.	.	PUNCT
fumecheng-12816	148	1	(	(	PUNCT
fumecheng-12816	148	2	a	a	X
fumecheng-12816	148	3	)	)	PUNCT
fumecheng-12816	148	4	k=0.2	k=0.2	NOUN
fumecheng-12816	148	5	;	;	PUNCT
fumecheng-12816	148	6	(	(	PUNCT
fumecheng-12816	148	7	b	b	X
fumecheng-12816	148	8	)	)	PUNCT
fumecheng-12816	148	9	k=0.3	k=0.3	ADV
fumecheng-12816	148	10	;	;	PUNCT
fumecheng-12816	148	11	(	(	PUNCT
fumecheng-12816	148	12	c	c	X
fumecheng-12816	148	13	)	)	PUNCT
fumecheng-12816	148	14	k=0.32	k=0.32	NOUN
fumecheng-12816	149	1	with	with	ADP
fumecheng-12816	149	2	k*=0.3751	k*=0.3751	PROPN
fumecheng-12816	149	3	196	196	NUM
fumecheng-12816	149	4	j.-h	j.-h	NOUN
fumecheng-12816	149	5	.	.	PUNCT
fumecheng-12816	150	1	he	he	PRON
fumecheng-12816	150	2	3	3	NUM
fumecheng-12816	150	3	.	.	PUNCT
fumecheng-12816	151	1	a	a	DET
fumecheng-12816	151	2	generalized	generalize	VERB
fumecheng-12816	151	3	mems	mem	NOUN
fumecheng-12816	151	4	oscillator	oscillator	NOUN
fumecheng-12816	151	5	in	in	ADP
fumecheng-12816	151	6	fig.1	fig.1	PROPN
fumecheng-12816	151	7	,	,	PUNCT
fumecheng-12816	151	8	the	the	DET
fumecheng-12816	151	9	wires	wire	NOUN
fumecheng-12816	151	10	can	can	AUX
fumecheng-12816	151	11	be	be	AUX
fumecheng-12816	151	12	thin	thin	ADJ
fumecheng-12816	151	13	plates	plate	NOUN
fumecheng-12816	151	14	,	,	PUNCT
fumecheng-12816	151	15	in	in	ADP
fumecheng-12816	151	16	that	that	DET
fumecheng-12816	151	17	case	case	NOUN
fumecheng-12816	151	18	,	,	PUNCT
fumecheng-12816	151	19	the	the	DET
fumecheng-12816	151	20	governing	govern	VERB
fumecheng-12816	151	21	equation	equation	NOUN
fumecheng-12816	151	22	can	can	AUX
fumecheng-12816	151	23	be	be	AUX
fumecheng-12816	151	24	expressed	express	VERB
fumecheng-12816	151	25	a	a	DET
fumecheng-12816	151	26	s[22	s[22	PROPN
fumecheng-12816	151	27	]	]	SYM
fumecheng-12816	151	28	4	4	NUM
fumecheng-12816	151	29	2	2	NUM
fumecheng-12816	151	30	2	2	NUM
fumecheng-12816	151	31	2	2	NUM
fumecheng-12816	151	32	2	2	NUM
fumecheng-12816	151	33	4	4	NUM
fumecheng-12816	151	34	2	2	NUM
fumecheng-12816	151	35	2	2	NUM
fumecheng-12816	151	36	2	2	NUM
fumecheng-12816	151	37	20	20	NUM
fumecheng-12816	151	38	1	1	NUM
fumecheng-12816	151	39	1	1	NUM
fumecheng-12816	151	40	(	(	PUNCT
fumecheng-12816	151	41	)	)	PUNCT
fumecheng-12816	151	42	2	2	NUM
fumecheng-12816	151	43	2	2	NUM
fumecheng-12816	151	44	(	(	PUNCT
fumecheng-12816	151	45	)	)	PUNCT
fumecheng-12816	151	46	(	(	PUNCT
fumecheng-12816	151	47	)	)	PUNCT
fumecheng-12816	151	48	lw	lw	PROPN
fumecheng-12816	151	49	w	w	PROPN
fumecheng-12816	151	50	es	es	PROPN
fumecheng-12816	151	51	w	w	PROPN
fumecheng-12816	151	52	w	w	PROPN
fumecheng-12816	151	53	b	b	PROPN
fumecheng-12816	151	54	ei	ei	ADP
fumecheng-12816	151	55	a	a	PRON
fumecheng-12816	151	56	n	n	NOUN
fumecheng-12816	151	57	dx	dx	PROPN
fumecheng-12816	152	1	l	l	NOUN
fumecheng-12816	153	1	xx	xx	NUM
fumecheng-12816	153	2	t	t	NOUN
fumecheng-12816	153	3	x	x	X
fumecheng-12816	153	4	h	h	NOUN
fumecheng-12816	153	5	w	w	PROPN
fumecheng-12816	153	6	h	h	PROPN
fumecheng-12816	153	7	w	w	PROPN
fumecheng-12816	153	8			PROPN
fumecheng-12816	153	9			NOUN
fumecheng-12816	153	10			ADP
fumecheng-12816	153	11			PROPN
fumecheng-12816	153	12			ADJ
fumecheng-12816	153	13			ADJ
fumecheng-12816	153	14			PROPN
fumecheng-12816	153	15			ADJ
fumecheng-12816	153	16			X
fumecheng-12816	153	17	+	+	X
fumecheng-12816	153	18	=	=	PUNCT
fumecheng-12816	154	1	+	+	PUNCT
fumecheng-12816	155	1	+	+	CCONJ
fumecheng-12816	155	2	+	+	ADJ
fumecheng-12816	155	3			NOUN
fumecheng-12816	155	4			NOUN
fumecheng-12816	155	5			PRON
fumecheng-12816	155	6			PROPN
fumecheng-12816	155	7			PROPN
fumecheng-12816	155	8	−	−	ADP
fumecheng-12816	156	1	+	+	NOUN
fumecheng-12816	156	2			PROPN
fumecheng-12816	156	3			PROPN
fumecheng-12816	156	4			AUX
fumecheng-12816	156	5			PROPN
fumecheng-12816	156	6			X
fumecheng-12816	156	7	(	(	PUNCT
fumecheng-12816	156	8	29	29	NUM
fumecheng-12816	156	9	)	)	PUNCT
fumecheng-12816	156	10	where	where	SCONJ
fumecheng-12816	156	11	w	w	NOUN
fumecheng-12816	156	12	is	be	AUX
fumecheng-12816	156	13	the	the	DET
fumecheng-12816	156	14	displacement	displacement	NOUN
fumecheng-12816	156	15	,	,	PUNCT
fumecheng-12816	156	16	ei	ei	ADP
fumecheng-12816	156	17	the	the	DET
fumecheng-12816	156	18	stiffness	stiffness	NOUN
fumecheng-12816	156	19	,	,	PUNCT
fumecheng-12816	156	20	ρ	ρ	PROPN
fumecheng-12816	156	21	density	density	NOUN
fumecheng-12816	156	22	,	,	PUNCT
fumecheng-12816	156	23	a	a	DET
fumecheng-12816	156	24	area	area	NOUN
fumecheng-12816	156	25	,	,	PUNCT
fumecheng-12816	156	26	n	n	CCONJ
fumecheng-12816	156	27	applied	applied	ADJ
fumecheng-12816	156	28	force	force	NOUN
fumecheng-12816	156	29	,	,	PUNCT
fumecheng-12816	156	30	l	l	NOUN
fumecheng-12816	156	31	length	length	NOUN
fumecheng-12816	156	32	,	,	PUNCT
fumecheng-12816	156	33	s	s	VERB
fumecheng-12816	156	34	cross	cross	ADJ
fumecheng-12816	156	35	-	-	ADJ
fumecheng-12816	156	36	section	section	ADJ
fumecheng-12816	156	37	area	area	NOUN
fumecheng-12816	156	38	,	,	PUNCT
fumecheng-12816	156	39	b	b	NOUN
fumecheng-12816	156	40	width	width	NOUN
fumecheng-12816	156	41	,	,	PUNCT
fumecheng-12816	156	42	ε	ε	PROPN
fumecheng-12816	156	43	dielectric	dielectric	NOUN
fumecheng-12816	156	44	constant	constant	ADJ
fumecheng-12816	156	45	,	,	PUNCT
fumecheng-12816	156	46	and	and	CCONJ
fumecheng-12816	156	47	ν	ν	X
fumecheng-12816	156	48	the	the	DET
fumecheng-12816	156	49	poisson	poisson	PROPN
fumecheng-12816	156	50	ratio	ratio	NOUN
fumecheng-12816	156	51	.	.	PUNCT
fumecheng-12816	157	1	in	in	ADP
fumecheng-12816	157	2	eq.(29	eq.(29	PROPN
fumecheng-12816	157	3	)	)	PUNCT
fumecheng-12816	157	4	,	,	PUNCT
fumecheng-12816	157	5	the	the	DET
fumecheng-12816	157	6	last	last	ADJ
fumecheng-12816	157	7	term	term	NOUN
fumecheng-12816	157	8	is	be	AUX
fumecheng-12816	157	9	the	the	DET
fumecheng-12816	157	10	electrostatic	electrostatic	ADJ
fumecheng-12816	157	11	excitation	excitation	NOUN
fumecheng-12816	157	12	.	.	PUNCT
fumecheng-12816	158	1	for	for	ADP
fumecheng-12816	158	2	the	the	DET
fumecheng-12816	158	3	fixed	fix	VERB
fumecheng-12816	158	4	-	-	PUNCT
fumecheng-12816	158	5	fixed	fix	VERB
fumecheng-12816	158	6	micro	micro	NOUN
fumecheng-12816	158	7	/	/	SYM
fumecheng-12816	158	8	nano	nano	ADJ
fumecheng-12816	158	9	thin	thin	ADJ
fumecheng-12816	158	10	plate	plate	NOUN
fumecheng-12816	158	11	,	,	PUNCT
fumecheng-12816	158	12	the	the	DET
fumecheng-12816	158	13	boundary	boundary	ADJ
fumecheng-12816	158	14	conditions	condition	NOUN
fumecheng-12816	158	15	are	be	AUX
fumecheng-12816	158	16	(	(	PUNCT
fumecheng-12816	158	17	0	0	NUM
fumecheng-12816	158	18	)	)	PUNCT
fumecheng-12816	158	19	(	(	PUNCT
fumecheng-12816	158	20	)	)	PUNCT
fumecheng-12816	158	21	0w	0w	PROPN
fumecheng-12816	159	1	w	w	NOUN
fumecheng-12816	159	2	l=	l=	NOUN
fumecheng-12816	159	3	=	=	PUNCT
fumecheng-12816	159	4	and	and	CCONJ
fumecheng-12816	159	5	(	(	PUNCT
fumecheng-12816	159	6	0	0	NUM
fumecheng-12816	159	7	)	)	PUNCT
fumecheng-12816	159	8	(	(	PUNCT
fumecheng-12816	159	9	)	)	PUNCT
fumecheng-12816	159	10	0	0	NUM
fumecheng-12816	160	1	dw	dw	PROPN
fumecheng-12816	160	2	dw	dw	PROPN
fumecheng-12816	160	3	l	l	PROPN
fumecheng-12816	160	4	dx	dx	PROPN
fumecheng-12816	160	5	dx	dx	PROPN
fumecheng-12816	161	1	=	=	PUNCT
fumecheng-12816	161	2	=	=	X
fumecheng-12816	161	3	(	(	PUNCT
fumecheng-12816	161	4	30	30	NUM
fumecheng-12816	161	5	)	)	PUNCT
fumecheng-12816	161	6	considering	consider	VERB
fumecheng-12816	161	7	the	the	DET
fumecheng-12816	161	8	boundary	boundary	ADJ
fumecheng-12816	161	9	conditions	condition	NOUN
fumecheng-12816	161	10	of	of	ADP
fumecheng-12816	161	11	eq	eq	PROPN
fumecheng-12816	161	12	.	.	PUNCT
fumecheng-12816	161	13	(	(	PUNCT
fumecheng-12816	161	14	30	30	NUM
fumecheng-12816	161	15	)	)	PUNCT
fumecheng-12816	161	16	,	,	PUNCT
fumecheng-12816	161	17	we	we	PRON
fumecheng-12816	161	18	assume	assume	VERB
fumecheng-12816	161	19	that	that	SCONJ
fumecheng-12816	161	20	w	w	NOUN
fumecheng-12816	161	21	can	can	AUX
fumecheng-12816	161	22	be	be	AUX
fumecheng-12816	161	23	expressed	express	VERB
fumecheng-12816	161	24	as	as	ADP
fumecheng-12816	161	25	2	2	NUM
fumecheng-12816	161	26	2	2	NUM
fumecheng-12816	161	27	2	2	NUM
fumecheng-12816	161	28	1	1	NUM
fumecheng-12816	161	29	2	2	NUM
fumecheng-12816	161	30	(	(	PUNCT
fumecheng-12816	161	31	,	,	PUNCT
fumecheng-12816	161	32	)	)	PUNCT
fumecheng-12816	161	33	(	(	PUNCT
fumecheng-12816	161	34	)	)	PUNCT
fumecheng-12816	161	35	(	(	PUNCT
fumecheng-12816	161	36	1	1	X
fumecheng-12816	161	37	)	)	PUNCT
fumecheng-12816	161	38	(	(	PUNCT
fumecheng-12816	161	39	1	1	X
fumecheng-12816	161	40	)	)	PUNCT
fumecheng-12816	161	41	w	w	NOUN
fumecheng-12816	161	42	t	t	NOUN
fumecheng-12816	161	43	x	x	PUNCT
fumecheng-12816	161	44	u	u	NOUN
fumecheng-12816	161	45	t	t	NOUN
fumecheng-12816	161	46	x	x	PUNCT
fumecheng-12816	161	47	x	x	X
fumecheng-12816	161	48	c	c	NOUN
fumecheng-12816	161	49	x	x	SYM
fumecheng-12816	161	50	c	c	NOUN
fumecheng-12816	161	51	x=	x=	PUNCT
fumecheng-12816	162	1	−	−	PROPN
fumecheng-12816	163	1	+	+	CCONJ
fumecheng-12816	164	1	+	+	PUNCT
fumecheng-12816	164	2	+	+	CCONJ
fumecheng-12816	164	3	(	(	PUNCT
fumecheng-12816	164	4	31	31	NUM
fumecheng-12816	164	5	)	)	PUNCT
fumecheng-12816	164	6	where	where	SCONJ
fumecheng-12816	164	7	ci	ci	PROPN
fumecheng-12816	164	8	(	(	PUNCT
fumecheng-12816	164	9	i=1,2,3	i=1,2,3	X
fumecheng-12816	164	10	,	,	PUNCT
fumecheng-12816	164	11	…	…	PUNCT
fumecheng-12816	164	12	)	)	PUNCT
fumecheng-12816	164	13	are	be	AUX
fumecheng-12816	164	14	constants	constant	NOUN
fumecheng-12816	164	15	.	.	PUNCT
fumecheng-12816	165	1	submitting	submit	VERB
fumecheng-12816	165	2	eq	eq	X
fumecheng-12816	165	3	.	.	PUNCT
fumecheng-12816	166	1	(	(	PUNCT
fumecheng-12816	166	2	31	31	NUM
fumecheng-12816	166	3	)	)	PUNCT
fumecheng-12816	166	4	into	into	ADP
fumecheng-12816	166	5	eq	eq	NOUN
fumecheng-12816	166	6	.	.	PUNCT
fumecheng-12816	167	1	(	(	PUNCT
fumecheng-12816	167	2	29	29	NUM
fumecheng-12816	167	3	)	)	PUNCT
fumecheng-12816	167	4	and	and	CCONJ
fumecheng-12816	167	5	integrating	integrate	VERB
fumecheng-12816	167	6	the	the	DET
fumecheng-12816	167	7	resultant	resultant	NOUN
fumecheng-12816	167	8	equation	equation	NOUN
fumecheng-12816	167	9	with	with	ADP
fumecheng-12816	167	10	x	x	SYM
fumecheng-12816	167	11	from	from	ADP
fumecheng-12816	167	12	0	0	NUM
fumecheng-12816	167	13	to	to	ADP
fumecheng-12816	167	14	l	l	NOUN
fumecheng-12816	167	15	,	,	PUNCT
fumecheng-12816	167	16	we	we	PRON
fumecheng-12816	167	17	finally	finally	ADV
fumecheng-12816	167	18	have	have	VERB
fumecheng-12816	167	19	2	2	NUM
fumecheng-12816	167	20	8	8	NUM
fumecheng-12816	167	21	6	6	NUM
fumecheng-12816	167	22	4	4	NUM
fumecheng-12816	167	23	2	2	NUM
fumecheng-12816	167	24	3	3	NUM
fumecheng-12816	167	25	5	5	NUM
fumecheng-12816	167	26	7	7	NUM
fumecheng-12816	167	27	9	9	NUM
fumecheng-12816	167	28	8	8	NUM
fumecheng-12816	167	29	6	6	NUM
fumecheng-12816	167	30	4	4	NUM
fumecheng-12816	167	31	2	2	NUM
fumecheng-12816	167	32	0	0	NUM
fumecheng-12816	167	33	1	1	NUM
fumecheng-12816	167	34	3	3	NUM
fumecheng-12816	167	35	5	5	NUM
fumecheng-12816	167	36	7	7	NUM
fumecheng-12816	167	37	92	92	NUM
fumecheng-12816	167	38	(	(	PUNCT
fumecheng-12816	167	39	)	)	PUNCT
fumecheng-12816	167	40	0	0	PUNCT
fumecheng-12816	168	1	d	d	NOUN
fumecheng-12816	168	2	u	u	PROPN
fumecheng-12816	168	3	a	a	X
fumecheng-12816	168	4	u	u	NOUN
fumecheng-12816	168	5	a	a	DET
fumecheng-12816	168	6	u	u	NOUN
fumecheng-12816	168	7	a	a	DET
fumecheng-12816	168	8	u	u	NOUN
fumecheng-12816	168	9	a	a	DET
fumecheng-12816	168	10	u	u	NOUN
fumecheng-12816	168	11	a	a	DET
fumecheng-12816	168	12	a	a	DET
fumecheng-12816	168	13	u	u	NOUN
fumecheng-12816	168	14	a	a	DET
fumecheng-12816	168	15	u	u	NOUN
fumecheng-12816	168	16	a	a	DET
fumecheng-12816	168	17	u	u	NOUN
fumecheng-12816	168	18	a	a	DET
fumecheng-12816	168	19	u	u	NOUN
fumecheng-12816	168	20	a	a	DET
fumecheng-12816	168	21	u	u	NOUN
fumecheng-12816	168	22	dt	dt	X
fumecheng-12816	168	23	+	+	CCONJ
fumecheng-12816	169	1	+	+	PUNCT
fumecheng-12816	169	2	+	+	PUNCT
fumecheng-12816	169	3	+	+	PUNCT
fumecheng-12816	169	4	+	+	PUNCT
fumecheng-12816	169	5	+	+	PUNCT
fumecheng-12816	169	6	+	+	PUNCT
fumecheng-12816	169	7	+	+	PUNCT
fumecheng-12816	169	8	+	+	CCONJ
fumecheng-12816	169	9	=	=	SYM
fumecheng-12816	169	10	(	(	PUNCT
fumecheng-12816	169	11	32	32	NUM
fumecheng-12816	169	12	)	)	PUNCT
fumecheng-12816	169	13	where	where	SCONJ
fumecheng-12816	169	14	ai	ai	PROPN
fumecheng-12816	169	15	(	(	PUNCT
fumecheng-12816	169	16	i=0~9	i=0~9	VERB
fumecheng-12816	169	17	)	)	PUNCT
fumecheng-12816	169	18	are	be	AUX
fumecheng-12816	169	19	constants	constant	NOUN
fumecheng-12816	169	20	.	.	PUNCT
fumecheng-12816	170	1	we	we	PRON
fumecheng-12816	170	2	re	re	VERB
fumecheng-12816	170	3	-	-	VERB
fumecheng-12816	170	4	write	write	VERB
fumecheng-12816	170	5	eq	eq	ADP
fumecheng-12816	170	6	.	.	PUNCT
fumecheng-12816	171	1	(	(	PUNCT
fumecheng-12816	171	2	32	32	NUM
fumecheng-12816	171	3	)	)	PUNCT
fumecheng-12816	171	4	in	in	ADP
fumecheng-12816	171	5	the	the	DET
fumecheng-12816	171	6	form	form	NOUN
fumecheng-12816	171	7	3	3	NUM
fumecheng-12816	171	8	5	5	NUM
fumecheng-12816	171	9	7	7	NUM
fumecheng-12816	171	10	92	92	NUM
fumecheng-12816	171	11	1	1	NUM
fumecheng-12816	171	12	3	3	NUM
fumecheng-12816	171	13	5	5	NUM
fumecheng-12816	171	14	7	7	NUM
fumecheng-12816	171	15	9	9	NUM
fumecheng-12816	171	16	2	2	NUM
fumecheng-12816	171	17	8	8	NUM
fumecheng-12816	171	18	6	6	NUM
fumecheng-12816	171	19	4	4	NUM
fumecheng-12816	171	20	2	2	NUM
fumecheng-12816	171	21	8	8	NUM
fumecheng-12816	171	22	6	6	NUM
fumecheng-12816	171	23	4	4	NUM
fumecheng-12816	171	24	2	2	NUM
fumecheng-12816	171	25	0	0	NUM
fumecheng-12816	171	26	0	0	NUM
fumecheng-12816	172	1	a	a	DET
fumecheng-12816	172	2	u	u	NOUN
fumecheng-12816	172	3	a	a	DET
fumecheng-12816	172	4	u	u	NOUN
fumecheng-12816	172	5	a	a	DET
fumecheng-12816	172	6	u	u	NOUN
fumecheng-12816	172	7	a	a	DET
fumecheng-12816	172	8	u	u	NOUN
fumecheng-12816	172	9	a	a	DET
fumecheng-12816	172	10	ud	ud	INTJ
fumecheng-12816	172	11	u	u	NOUN
fumecheng-12816	172	12	dt	dt	PROPN
fumecheng-12816	172	13	a	a	DET
fumecheng-12816	172	14	u	u	NOUN
fumecheng-12816	172	15	a	a	DET
fumecheng-12816	172	16	u	u	NOUN
fumecheng-12816	172	17	a	a	DET
fumecheng-12816	172	18	u	u	NOUN
fumecheng-12816	172	19	a	a	DET
fumecheng-12816	172	20	u	u	NOUN
fumecheng-12816	172	21	a	a	PRON
fumecheng-12816	172	22	+	+	X
fumecheng-12816	173	1	+	+	PUNCT
fumecheng-12816	173	2	+	+	PUNCT
fumecheng-12816	173	3	+	+	PUNCT
fumecheng-12816	173	4	+	+	PUNCT
fumecheng-12816	173	5	=	=	X
fumecheng-12816	174	1	+	+	PUNCT
fumecheng-12816	174	2	+	+	PUNCT
fumecheng-12816	174	3	+	+	PUNCT
fumecheng-12816	174	4	+	+	CCONJ
fumecheng-12816	174	5	(	(	PUNCT
fumecheng-12816	174	6	33	33	NUM
fumecheng-12816	174	7	)	)	PUNCT
fumecheng-12816	174	8	the	the	DET
fumecheng-12816	174	9	frequency	frequency	NOUN
fumecheng-12816	174	10	formulation	formulation	NOUN
fumecheng-12816	174	11	can	can	AUX
fumecheng-12816	174	12	be	be	AUX
fumecheng-12816	174	13	modified	modify	VERB
fumecheng-12816	174	14	as	as	ADP
fumecheng-12816	174	15	/4	/4	NOUN
fumecheng-12816	174	16	3	3	NUM
fumecheng-12816	174	17	5	5	NUM
fumecheng-12816	174	18	7	7	NUM
fumecheng-12816	174	19	9	9	NUM
fumecheng-12816	174	20	1	1	NUM
fumecheng-12816	174	21	3	3	NUM
fumecheng-12816	174	22	5	5	NUM
fumecheng-12816	174	23	7	7	NUM
fumecheng-12816	174	24	9	9	NUM
fumecheng-12816	174	25	2	2	NUM
fumecheng-12816	174	26	/4	/4	NOUN
fumecheng-12816	174	27	8	8	NUM
fumecheng-12816	174	28	6	6	NUM
fumecheng-12816	174	29	4	4	NUM
fumecheng-12816	174	30	2	2	NUM
fumecheng-12816	174	31	8	8	NUM
fumecheng-12816	174	32	6	6	NUM
fumecheng-12816	174	33	4	4	NUM
fumecheng-12816	174	34	2	2	NUM
fumecheng-12816	174	35	0	0	NUM
fumecheng-12816	174	36	(	(	PUNCT
fumecheng-12816	174	37	)	)	PUNCT
fumecheng-12816	174	38	cos	cos	PROPN
fumecheng-12816	174	39	(	(	PUNCT
fumecheng-12816	174	40	)	)	PUNCT
fumecheng-12816	174	41	(	(	PUNCT
fumecheng-12816	174	42	)	)	PUNCT
fumecheng-12816	174	43	cos	cos	PROPN
fumecheng-12816	174	44	(	(	PUNCT
fumecheng-12816	174	45	)	)	PUNCT
fumecheng-12816	174	46	t	t	PROPN
fumecheng-12816	174	47	t	t	PROPN
fumecheng-12816	174	48	a	a	DET
fumecheng-12816	174	49	u	u	NOUN
fumecheng-12816	174	50	a	a	DET
fumecheng-12816	174	51	u	u	NOUN
fumecheng-12816	174	52	a	a	DET
fumecheng-12816	174	53	u	u	NOUN
fumecheng-12816	174	54	a	a	DET
fumecheng-12816	174	55	u	u	NOUN
fumecheng-12816	174	56	a	a	DET
fumecheng-12816	174	57	u	u	NOUN
fumecheng-12816	174	58	t	t	X
fumecheng-12816	174	59	dt	dt	X
fumecheng-12816	174	60	a	a	DET
fumecheng-12816	174	61	u	u	NOUN
fumecheng-12816	174	62	a	a	DET
fumecheng-12816	174	63	u	u	NOUN
fumecheng-12816	174	64	a	a	DET
fumecheng-12816	174	65	u	u	NOUN
fumecheng-12816	174	66	a	a	DET
fumecheng-12816	174	67	u	u	NOUN
fumecheng-12816	174	68	a	a	DET
fumecheng-12816	174	69	u	u	NOUN
fumecheng-12816	174	70	t	t	NOUN
fumecheng-12816	174	71	dt	dt	PUNCT
fumecheng-12816	174	72			NOUN
fumecheng-12816	174	73			NOUN
fumecheng-12816	174	74			NOUN
fumecheng-12816	174	75			NOUN
fumecheng-12816	174	76			PUNCT
fumecheng-12816	174	77			NOUN
fumecheng-12816	174	78			PUNCT
fumecheng-12816	174	79			X
fumecheng-12816	174	80			NOUN
fumecheng-12816	174	81	+	+	PUNCT
fumecheng-12816	175	1	+	+	PUNCT
fumecheng-12816	176	1	+	+	PUNCT
fumecheng-12816	176	2	+	+	PUNCT
fumecheng-12816	176	3	+	+	PUNCT
fumecheng-12816	176	4	+	+	PUNCT
fumecheng-12816	176	5	+	+	PUNCT
fumecheng-12816	176	6	=	=	X
fumecheng-12816	177	1	+	+	PUNCT
fumecheng-12816	177	2	+	+	PUNCT
fumecheng-12816	177	3	+	+	PUNCT
fumecheng-12816	177	4	+	+	PUNCT
fumecheng-12816	177	5	+	+	NUM
fumecheng-12816	177	6			AUX
fumecheng-12816	177	7			X
fumecheng-12816	177	8	(	(	PUNCT
fumecheng-12816	177	9	34	34	NUM
fumecheng-12816	177	10	)	)	PUNCT
fumecheng-12816	177	11	submitting	submit	VERB
fumecheng-12816	177	12	eq	eq	X
fumecheng-12816	177	13	.	.	PUNCT
fumecheng-12816	178	1	(	(	PUNCT
fumecheng-12816	178	2	12	12	NUM
fumecheng-12816	178	3	)	)	PUNCT
fumecheng-12816	178	4	into	into	ADP
fumecheng-12816	178	5	eq	eq	NOUN
fumecheng-12816	178	6	.	.	PUNCT
fumecheng-12816	179	1	(	(	PUNCT
fumecheng-12816	179	2	34	34	NUM
fumecheng-12816	179	3	)	)	PUNCT
fumecheng-12816	179	4	,	,	PUNCT
fumecheng-12816	179	5	after	after	ADP
fumecheng-12816	179	6	simple	simple	ADJ
fumecheng-12816	179	7	calculation	calculation	NOUN
fumecheng-12816	179	8	,	,	PUNCT
fumecheng-12816	179	9	we	we	PRON
fumecheng-12816	179	10	have	have	VERB
fumecheng-12816	179	11	2	2	NUM
fumecheng-12816	179	12	4	4	NUM
fumecheng-12816	179	13	6	6	NUM
fumecheng-12816	179	14	83	83	NUM
fumecheng-12816	179	15	5	5	NUM
fumecheng-12816	179	16	3	3	NUM
fumecheng-12816	179	17	7	7	NUM
fumecheng-12816	179	18	5	5	NUM
fumecheng-12816	179	19	3	3	NUM
fumecheng-12816	179	20	9	9	NUM
fumecheng-12816	179	21	7	7	NUM
fumecheng-12816	179	22	5	5	NUM
fumecheng-12816	179	23	3	3	NUM
fumecheng-12816	179	24	1	1	NUM
fumecheng-12816	179	25	3	3	NUM
fumecheng-12816	179	26	5	5	NUM
fumecheng-12816	179	27	7	7	NUM
fumecheng-12816	179	28	92	92	NUM
fumecheng-12816	179	29	4	4	NUM
fumecheng-12816	179	30	6	6	NUM
fumecheng-12816	179	31	4	4	NUM
fumecheng-12816	179	32	8	8	NUM
fumecheng-12816	179	33	6	6	NUM
fumecheng-12816	179	34	4	4	NUM
fumecheng-12816	179	35	10	10	NUM
fumecheng-12816	179	36	8	8	NUM
fumecheng-12816	179	37	6	6	NUM
fumecheng-12816	179	38	4	4	NUM
fumecheng-12816	179	39	6	6	NUM
fumecheng-12816	179	40	6	6	NUM
fumecheng-12816	179	41	4	4	NUM
fumecheng-12816	179	42	29	29	NUM
fumecheng-12816	179	43	7	7	NUM
fumecheng-12816	179	44	5	5	NUM
fumecheng-12816	179	45	3	3	NUM
fumecheng-12816	179	46	7	7	NUM
fumecheng-12816	179	47	5	5	NUM
fumecheng-12816	179	48	3	3	NUM
fumecheng-12816	179	49	5	5	NUM
fumecheng-12816	179	50	3	3	NUM
fumecheng-12816	179	51	3	3	NUM
fumecheng-12816	179	52	8	8	NUM
fumecheng-12816	179	53	6	6	NUM
fumecheng-12816	179	54	4	4	NUM
fumecheng-12816	179	55	2	2	NUM
fumecheng-12816	179	56	010	010	NUM
fumecheng-12816	179	57	8	8	NUM
fumecheng-12816	179	58	6	6	NUM
fumecheng-12816	179	59	4	4	NUM
fumecheng-12816	179	60	8	8	NUM
fumecheng-12816	179	61	6	6	NUM
fumecheng-12816	179	62	4	4	NUM
fumecheng-12816	179	63	6	6	NUM
fumecheng-12816	179	64	4	4	NUM
fumecheng-12816	179	65	4	4	NUM
fumecheng-12816	179	66	a	a	DET
fumecheng-12816	179	67	a	a	DET
fumecheng-12816	179	68	a	a	DET
fumecheng-12816	179	69	a	a	DET
fumecheng-12816	179	70	a	a	DET
fumecheng-12816	179	71	a	a	DET
fumecheng-12816	179	72	a	a	DET
fumecheng-12816	179	73	a	a	DET
fumecheng-12816	179	74	a	a	DET
fumecheng-12816	179	75	a	a	DET
fumecheng-12816	179	76	a	a	DET
fumecheng-12816	179	77	a	a	DET
fumecheng-12816	179	78	a	a	DET
fumecheng-12816	179	79	a	a	DET
fumecheng-12816	179	80	a	a	DET
fumecheng-12816	179	81	a	a	DET
fumecheng-12816	179	82	a	a	DET
fumecheng-12816	179	83	a	a	DET
fumecheng-12816	179	84			X
fumecheng-12816	179	85	+	+	X
fumecheng-12816	179	86	+	+	PUNCT
fumecheng-12816	179	87	+	+	PUNCT
fumecheng-12816	179	88	+	+	PUNCT
fumecheng-12816	179	89	=	=	X
fumecheng-12816	180	1	+	+	PUNCT
fumecheng-12816	181	1	+	+	PUNCT
fumecheng-12816	181	2	+	+	CCONJ
fumecheng-12816	181	3	+	+	CCONJ
fumecheng-12816	181	4	(	(	PUNCT
fumecheng-12816	181	5	35	35	NUM
fumecheng-12816	181	6	)	)	PUNCT
fumecheng-12816	181	7	additionally	additionally	ADV
fumecheng-12816	181	8	,	,	PUNCT
fumecheng-12816	181	9	we	we	PRON
fumecheng-12816	181	10	can	can	AUX
fumecheng-12816	181	11	write	write	VERB
fumecheng-12816	181	12	eq	eq	ADP
fumecheng-12816	181	13	.	.	PUNCT
fumecheng-12816	182	1	(	(	PUNCT
fumecheng-12816	182	2	32	32	NUM
fumecheng-12816	182	3	)	)	PUNCT
fumecheng-12816	182	4	in	in	ADP
fumecheng-12816	182	5	the	the	DET
fumecheng-12816	182	6	form	form	NOUN
fumecheng-12816	182	7			PROPN
fumecheng-12816	182	8	3	3	NOUN
fumecheng-12816	182	9	5	5	NUM
fumecheng-12816	182	10	7	7	NUM
fumecheng-12816	182	11	9	9	NUM
fumecheng-12816	182	12	8	8	NUM
fumecheng-12816	182	13	6	6	NUM
fumecheng-12816	182	14	4	4	NUM
fumecheng-12816	182	15	2	2	NUM
fumecheng-12816	182	16	1	1	NUM
fumecheng-12816	182	17	3	3	NUM
fumecheng-12816	182	18	5	5	NUM
fumecheng-12816	182	19	7	7	NUM
fumecheng-12816	182	20	9	9	NUM
fumecheng-12816	182	21	8	8	NUM
fumecheng-12816	182	22	6	6	NUM
fumecheng-12816	182	23	4	4	NUM
fumecheng-12816	182	24	2	2	NUM
fumecheng-12816	182	25	0	0	NUM
fumecheng-12816	182	26	1	1	NUM
fumecheng-12816	182	27	(	(	PUNCT
fumecheng-12816	182	28	)	)	PUNCT
fumecheng-12816	182	29	0u	0u	ADJ
fumecheng-12816	182	30	a	a	DET
fumecheng-12816	182	31	u	u	NOUN
fumecheng-12816	182	32	a	a	DET
fumecheng-12816	182	33	u	u	NOUN
fumecheng-12816	182	34	a	a	DET
fumecheng-12816	182	35	u	u	NOUN
fumecheng-12816	182	36	a	a	DET
fumecheng-12816	182	37	u	u	NOUN
fumecheng-12816	182	38	a	a	DET
fumecheng-12816	182	39	u	u	NOUN
fumecheng-12816	182	40	a	a	DET
fumecheng-12816	182	41	u	u	NOUN
fumecheng-12816	182	42	u	u	NOUN
fumecheng-12816	182	43	a	a	DET
fumecheng-12816	182	44	u	u	NOUN
fumecheng-12816	182	45	u	u	NOUN
fumecheng-12816	182	46	a	a	DET
fumecheng-12816	182	47	u	u	NOUN
fumecheng-12816	182	48	u	u	NOUN
fumecheng-12816	182	49	a	a	DET
fumecheng-12816	182	50	u	u	NOUN
fumecheng-12816	182	51	u	u	NOUN
fumecheng-12816	182	52	a	a	DET
fumecheng-12816	182	53			PROPN
fumecheng-12816	183	1			PROPN
fumecheng-12816	183	2			ADV
fumecheng-12816	183	3			PROPN
fumecheng-12816	183	4	+	+	PROPN
fumecheng-12816	183	5	+	+	X
fumecheng-12816	183	6	+	+	PUNCT
fumecheng-12816	183	7	+	+	PUNCT
fumecheng-12816	184	1	+	+	CCONJ
fumecheng-12816	184	2	−	−	X
fumecheng-12816	184	3	+	+	SYM
fumecheng-12816	185	1	+	+	PUNCT
fumecheng-12816	185	2	+	+	CCONJ
fumecheng-12816	185	3	=	=	SYM
fumecheng-12816	185	4	(	(	PUNCT
fumecheng-12816	185	5	36	36	NUM
fumecheng-12816	185	6	)	)	PUNCT
fumecheng-12816	185	7	periodic	periodic	ADJ
fumecheng-12816	185	8	solution	solution	NOUN
fumecheng-12816	185	9	of	of	ADP
fumecheng-12816	185	10	a	a	DET
fumecheng-12816	185	11	micro	micro	ADJ
fumecheng-12816	185	12	-	-	ADJ
fumecheng-12816	185	13	electromechanical	electromechanical	ADJ
fumecheng-12816	185	14	system	system	NOUN
fumecheng-12816	185	15	197	197	NUM
fumecheng-12816	185	16	by	by	ADP
fumecheng-12816	185	17	eq	eq	PROPN
fumecheng-12816	185	18	.	.	PUNCT
fumecheng-12816	186	1	(	(	PUNCT
fumecheng-12816	186	2	14	14	NUM
fumecheng-12816	186	3	)	)	PUNCT
fumecheng-12816	186	4	we	we	PRON
fumecheng-12816	186	5	have	have	VERB
fumecheng-12816	186	6	2	2	NUM
fumecheng-12816	186	7	2	2	NUM
fumecheng-12816	186	8	4	4	NUM
fumecheng-12816	186	9	6	6	NUM
fumecheng-12816	186	10	8	8	NUM
fumecheng-12816	186	11	7	7	NUM
fumecheng-12816	186	12	5	5	NUM
fumecheng-12816	186	13	3	3	NUM
fumecheng-12816	186	14	2	2	NUM
fumecheng-12816	186	15	1	1	NUM
fumecheng-12816	186	16	3	3	NUM
fumecheng-12816	186	17	5	5	NUM
fumecheng-12816	186	18	7	7	NUM
fumecheng-12816	186	19	9	9	NUM
fumecheng-12816	186	20	8	8	NUM
fumecheng-12816	186	21	6	6	NUM
fumecheng-12816	186	22	4	4	NUM
fumecheng-12816	186	23	2	2	NUM
fumecheng-12816	186	24	3	3	NUM
fumecheng-12816	186	25	/20	/20	SYM
fumecheng-12816	186	26	3	3	NUM
fumecheng-12816	186	27	/2	/2	SYM
fumecheng-12816	186	28	2	2	NUM
fumecheng-12816	186	29	4	4	NUM
fumecheng-12816	186	30	6	6	NUM
fumecheng-12816	186	31	8	8	NUM
fumecheng-12816	186	32	8	8	NUM
fumecheng-12816	186	33	6	6	NUM
fumecheng-12816	186	34	4	4	NUM
fumecheng-12816	186	35	2	2	NUM
fumecheng-12816	186	36	23	23	NUM
fumecheng-12816	186	37	9	9	NUM
fumecheng-12816	186	38	27	27	NUM
fumecheng-12816	186	39	81	81	NUM
fumecheng-12816	186	40	81	81	NUM
fumecheng-12816	186	41	27	27	NUM
fumecheng-12816	186	42	9	9	NUM
fumecheng-12816	186	43	3	3	NUM
fumecheng-12816	186	44	1	1	NUM
fumecheng-12816	186	45	3	3	NUM
fumecheng-12816	186	46	5	5	NUM
fumecheng-12816	186	47	7	7	NUM
fumecheng-12816	186	48	9	9	NUM
fumecheng-12816	186	49	8	8	NUM
fumecheng-12816	186	50	6	6	NUM
fumecheng-12816	186	51	4	4	NUM
fumecheng-12816	186	52	24	24	NUM
fumecheng-12816	186	53	16	16	NUM
fumecheng-12816	186	54	64	64	NUM
fumecheng-12816	186	55	256	256	NUM
fumecheng-12816	186	56	256	256	NUM
fumecheng-12816	186	57	64	64	NUM
fumecheng-12816	186	58	16	16	NUM
fumecheng-12816	186	59	4	4	NUM
fumecheng-12816	186	60	0	0	NUM
fumecheng-12816	186	61	(	(	PUNCT
fumecheng-12816	186	62	)	)	PUNCT
fumecheng-12816	186	63	(	(	PUNCT
fumecheng-12816	186	64	)	)	PUNCT
fumecheng-12816	186	65	u	u	NOUN
fumecheng-12816	186	66	a	a	DET
fumecheng-12816	186	67	u	u	NOUN
fumecheng-12816	186	68	a	a	DET
fumecheng-12816	186	69	a	a	DET
fumecheng-12816	186	70	a	a	DET
fumecheng-12816	186	71	u	u	NOUN
fumecheng-12816	186	72	a	a	DET
fumecheng-12816	186	73	u	u	NOUN
fumecheng-12816	186	74	a	a	DET
fumecheng-12816	186	75	u	u	NOUN
fumecheng-12816	186	76	a	a	DET
fumecheng-12816	186	77	u	u	NOUN
fumecheng-12816	186	78	a	a	DET
fumecheng-12816	186	79	u	u	NOUN
fumecheng-12816	186	80	u	u	NOUN
fumecheng-12816	186	81	a	a	DET
fumecheng-12816	186	82	u	u	NOUN
fumecheng-12816	186	83	u	u	NOUN
fumecheng-12816	186	84	a	a	DET
fumecheng-12816	186	85	u	u	NOUN
fumecheng-12816	186	86	u	u	NOUN
fumecheng-12816	186	87	a	a	PRON
fumecheng-12816	186	88	uu	uu	INTJ
fumecheng-12816	186	89	a	a	DET
fumecheng-12816	186	90	a	a	DET
fumecheng-12816	186	91	a	a	DET
fumecheng-12816	186	92	a	a	DET
fumecheng-12816	186	93	a	a	DET
fumecheng-12816	186	94	a	a	DET
fumecheng-12816	186	95	a	a	DET
fumecheng-12816	186	96	a	a	DET
fumecheng-12816	186	97	a	a	DET
fumecheng-12816	186	98	a	a	DET
fumecheng-12816	186	99	a	a	DET
fumecheng-12816	186	100	a	a	DET
fumecheng-12816	186	101	a	a	DET
fumecheng-12816	186	102	a	a	DET
fumecheng-12816	186	103	a	a	DET
fumecheng-12816	186	104	a	a	DET
fumecheng-12816	186	105	a	a	DET
fumecheng-12816	186	106	a	a	NOUN
fumecheng-12816	186	107	a	a	DET
fumecheng-12816	186	108			X
fumecheng-12816	186	109			X
fumecheng-12816	186	110			X
fumecheng-12816	186	111	=	=	PUNCT
fumecheng-12816	187	1	=	=	NOUN
fumecheng-12816	187	2	−	−	X
fumecheng-12816	187	3			PROPN
fumecheng-12816	187	4			PROPN
fumecheng-12816	187	5			PROPN
fumecheng-12816	187	6	+	+	PROPN
fumecheng-12816	187	7	+	+	X
fumecheng-12816	187	8	+	+	X
fumecheng-12816	187	9	+	+	CCONJ
fumecheng-12816	187	10	−	−	X
fumecheng-12816	187	11	+	+	SYM
fumecheng-12816	187	12	+	+	PUNCT
fumecheng-12816	187	13	+	+	PUNCT
fumecheng-12816	187	14	=	=	X
fumecheng-12816	188	1	+	+	PUNCT
fumecheng-12816	188	2	+	+	PUNCT
fumecheng-12816	188	3	+	+	PUNCT
fumecheng-12816	189	1	+	+	CCONJ
fumecheng-12816	189	2	−	−	X
fumecheng-12816	189	3	+	+	SYM
fumecheng-12816	190	1	+	+	PUNCT
fumecheng-12816	190	2	+	+	CCONJ
fumecheng-12816	190	3	=	=	SYM
fumecheng-12816	190	4	(	(	PUNCT
fumecheng-12816	190	5	37	37	NUM
fumecheng-12816	190	6	)	)	PUNCT
fumecheng-12816	190	7	after	after	ADP
fumecheng-12816	190	8	simple	simple	ADJ
fumecheng-12816	190	9	operation	operation	NOUN
fumecheng-12816	190	10	,	,	PUNCT
fumecheng-12816	190	11	eq	eq	NOUN
fumecheng-12816	190	12	.	.	PUNCT
fumecheng-12816	190	13	(	(	PUNCT
fumecheng-12816	190	14	37	37	NUM
fumecheng-12816	190	15	)	)	PUNCT
fumecheng-12816	190	16	leads	lead	VERB
fumecheng-12816	190	17	to	to	ADP
fumecheng-12816	190	18	the	the	DET
fumecheng-12816	190	19	following	follow	VERB
fumecheng-12816	190	20	frequency	frequency	NOUN
fumecheng-12816	190	21	-	-	PUNCT
fumecheng-12816	190	22	amplitude	amplitude	NOUN
fumecheng-12816	190	23	relationship	relationship	NOUN
fumecheng-12816	190	24	2	2	NUM
fumecheng-12816	190	25	4	4	NUM
fumecheng-12816	190	26	6	6	NUM
fumecheng-12816	190	27	83	83	NUM
fumecheng-12816	190	28	9	9	NUM
fumecheng-12816	190	29	27	27	NUM
fumecheng-12816	190	30	81	81	NUM
fumecheng-12816	190	31	1	1	NUM
fumecheng-12816	190	32	3	3	NUM
fumecheng-12816	190	33	5	5	NUM
fumecheng-12816	190	34	7	7	NUM
fumecheng-12816	190	35	92	92	NUM
fumecheng-12816	190	36	4	4	NUM
fumecheng-12816	190	37	16	16	NUM
fumecheng-12816	190	38	64	64	NUM
fumecheng-12816	190	39	256	256	NUM
fumecheng-12816	190	40	8	8	NUM
fumecheng-12816	190	41	6	6	NUM
fumecheng-12816	190	42	4	4	NUM
fumecheng-12816	190	43	281	281	NUM
fumecheng-12816	190	44	27	27	NUM
fumecheng-12816	190	45	9	9	NUM
fumecheng-12816	190	46	3	3	NUM
fumecheng-12816	190	47	0	0	NUM
fumecheng-12816	190	48	8	8	NUM
fumecheng-12816	190	49	6	6	NUM
fumecheng-12816	190	50	4	4	NUM
fumecheng-12816	190	51	2256	2256	NUM
fumecheng-12816	190	52	64	64	NUM
fumecheng-12816	190	53	16	16	NUM
fumecheng-12816	190	54	4	4	NUM
fumecheng-12816	190	55	a	a	DET
fumecheng-12816	190	56	a	a	DET
fumecheng-12816	190	57	a	a	DET
fumecheng-12816	190	58	a	a	DET
fumecheng-12816	190	59	a	a	DET
fumecheng-12816	190	60	a	a	DET
fumecheng-12816	190	61	a	a	DET
fumecheng-12816	190	62	a	a	DET
fumecheng-12816	190	63	a	a	DET
fumecheng-12816	190	64	a	a	DET
fumecheng-12816	190	65	a	a	DET
fumecheng-12816	190	66	a	a	DET
fumecheng-12816	190	67	a	a	DET
fumecheng-12816	190	68	a	a	DET
fumecheng-12816	190	69	a	a	DET
fumecheng-12816	190	70	a	a	DET
fumecheng-12816	190	71	a	a	DET
fumecheng-12816	190	72	a	a	DET
fumecheng-12816	190	73			X
fumecheng-12816	190	74	+	+	X
fumecheng-12816	190	75	+	+	PUNCT
fumecheng-12816	191	1	+	+	PUNCT
fumecheng-12816	191	2	+	+	PUNCT
fumecheng-12816	191	3	=	=	X
fumecheng-12816	192	1	+	+	PUNCT
fumecheng-12816	192	2	+	+	PUNCT
fumecheng-12816	192	3	+	+	PUNCT
fumecheng-12816	192	4	+	+	CCONJ
fumecheng-12816	192	5	(	(	PUNCT
fumecheng-12816	192	6	38	38	NUM
fumecheng-12816	192	7	)	)	PUNCT
fumecheng-12816	192	8	eq	eq	NOUN
fumecheng-12816	192	9	.	.	PUNCT
fumecheng-12816	193	1	(	(	PUNCT
fumecheng-12816	193	2	35	35	NUM
fumecheng-12816	193	3	)	)	PUNCT
fumecheng-12816	193	4	or	or	CCONJ
fumecheng-12816	193	5	eq	eq	NOUN
fumecheng-12816	193	6	.	.	PUNCT
fumecheng-12816	194	1	(	(	PUNCT
fumecheng-12816	194	2	38	38	NUM
fumecheng-12816	194	3	)	)	PUNCT
fumecheng-12816	194	4	unlocks	unlock	VERB
fumecheng-12816	194	5	the	the	DET
fumecheng-12816	194	6	frequency	frequency	NOUN
fumecheng-12816	194	7	-	-	PUNCT
fumecheng-12816	194	8	amplitude	amplitude	NOUN
fumecheng-12816	194	9	relationship	relationship	NOUN
fumecheng-12816	194	10	,	,	PUNCT
fumecheng-12816	194	11	and	and	CCONJ
fumecheng-12816	194	12	in	in	ADP
fumecheng-12816	194	13	view	view	NOUN
fumecheng-12816	194	14	of	of	ADP
fumecheng-12816	194	15	eq.(13	eq.(13	NOUN
fumecheng-12816	194	16	)	)	PUNCT
fumecheng-12816	194	17	,	,	PUNCT
fumecheng-12816	194	18	we	we	PRON
fumecheng-12816	194	19	can	can	AUX
fumecheng-12816	194	20	also	also	ADV
fumecheng-12816	194	21	reveal	reveal	VERB
fumecheng-12816	194	22	the	the	DET
fumecheng-12816	194	23	effect	effect	NOUN
fumecheng-12816	194	24	of	of	ADP
fumecheng-12816	194	25	the	the	DET
fumecheng-12816	194	26	initial	initial	ADJ
fumecheng-12816	194	27	conditions	condition	NOUN
fumecheng-12816	194	28	on	on	ADP
fumecheng-12816	194	29	the	the	DET
fumecheng-12816	194	30	frequency	frequency	NOUN
fumecheng-12816	194	31	property	property	NOUN
fumecheng-12816	194	32	.	.	PUNCT
fumecheng-12816	195	1	4	4	X
fumecheng-12816	195	2	.	.	X
fumecheng-12816	195	3	conclusion	conclusion	VERB
fumecheng-12816	195	4	this	this	DET
fumecheng-12816	195	5	paper	paper	NOUN
fumecheng-12816	195	6	studies	study	NOUN
fumecheng-12816	195	7	the	the	DET
fumecheng-12816	195	8	frequency	frequency	NOUN
fumecheng-12816	195	9	property	property	NOUN
fumecheng-12816	195	10	of	of	ADP
fumecheng-12816	195	11	mems	mem	NOUN
fumecheng-12816	195	12	systems	system	NOUN
fumecheng-12816	195	13	,	,	PUNCT
fumecheng-12816	195	14	its	its	PRON
fumecheng-12816	195	15	frequency	frequency	NOUN
fumecheng-12816	195	16	-	-	PUNCT
fumecheng-12816	195	17	amplitude	amplitude	NOUN
fumecheng-12816	195	18	relationship	relationship	NOUN
fumecheng-12816	195	19	is	be	AUX
fumecheng-12816	195	20	revealed	reveal	VERB
fumecheng-12816	195	21	,	,	PUNCT
fumecheng-12816	195	22	and	and	CCONJ
fumecheng-12816	195	23	the	the	DET
fumecheng-12816	195	24	effect	effect	NOUN
fumecheng-12816	195	25	of	of	ADP
fumecheng-12816	195	26	the	the	DET
fumecheng-12816	195	27	initial	initial	ADJ
fumecheng-12816	195	28	conditions	condition	NOUN
fumecheng-12816	195	29	on	on	ADP
fumecheng-12816	195	30	the	the	DET
fumecheng-12816	195	31	frequency	frequency	NOUN
fumecheng-12816	195	32	property	property	NOUN
fumecheng-12816	195	33	is	be	AUX
fumecheng-12816	195	34	also	also	ADV
fumecheng-12816	195	35	elucidated	elucidated	ADJ
fumecheng-12816	195	36	.	.	PUNCT
fumecheng-12816	196	1	when	when	SCONJ
fumecheng-12816	196	2	the	the	DET
fumecheng-12816	196	3	obtained	obtain	VERB
fumecheng-12816	196	4	frequency	frequency	NOUN
fumecheng-12816	196	5	is	be	AUX
fumecheng-12816	196	6	zero	zero	NUM
fumecheng-12816	196	7	,	,	PUNCT
fumecheng-12816	196	8	we	we	PRON
fumecheng-12816	196	9	can	can	AUX
fumecheng-12816	196	10	easily	easily	ADV
fumecheng-12816	196	11	obtain	obtain	VERB
fumecheng-12816	196	12	the	the	DET
fumecheng-12816	196	13	threshold	threshold	NOUN
fumecheng-12816	196	14	value	value	NOUN
fumecheng-12816	196	15	for	for	ADP
fumecheng-12816	196	16	k	k	PROPN
fumecheng-12816	196	17	in	in	ADP
fumecheng-12816	196	18	eq	eq	ADP
fumecheng-12816	196	19	.	.	PUNCT
fumecheng-12816	197	1	(	(	PUNCT
fumecheng-12816	197	2	3	3	NUM
fumecheng-12816	197	3	)	)	PUNCT
fumecheng-12816	197	4	,	,	PUNCT
fumecheng-12816	197	5	beyond	beyond	ADP
fumecheng-12816	197	6	which	which	PRON
fumecheng-12816	197	7	the	the	DET
fumecheng-12816	197	8	pull	pull	NOUN
fumecheng-12816	197	9	-	-	PUNCT
fumecheng-12816	197	10	in	in	ADP
fumecheng-12816	197	11	instability	instability	NOUN
fumecheng-12816	197	12	occurs	occur	VERB
fumecheng-12816	197	13	.	.	PUNCT
fumecheng-12816	198	1	the	the	DET
fumecheng-12816	198	2	threshold	threshold	NOUN
fumecheng-12816	198	3	value	value	NOUN
fumecheng-12816	198	4	for	for	ADP
fumecheng-12816	198	5	the	the	DET
fumecheng-12816	198	6	amplitude	amplitude	NOUN
fumecheng-12816	198	7	is	be	AUX
fumecheng-12816	198	8	also	also	ADV
fumecheng-12816	198	9	found	find	VERB
fumecheng-12816	198	10	,	,	PUNCT
fumecheng-12816	198	11	this	this	PRON
fumecheng-12816	198	12	makes	make	VERB
fumecheng-12816	198	13	it	it	PRON
fumecheng-12816	198	14	easy	easy	ADJ
fumecheng-12816	198	15	to	to	PART
fumecheng-12816	198	16	monitor	monitor	VERB
fumecheng-12816	198	17	mems	mem	NOUN
fumecheng-12816	198	18	systems	system	NOUN
fumecheng-12816	198	19	,	,	PUNCT
fumecheng-12816	198	20	and	and	CCONJ
fumecheng-12816	198	21	it	it	PRON
fumecheng-12816	198	22	can	can	AUX
fumecheng-12816	198	23	set	set	VERB
fumecheng-12816	198	24	off	off	ADP
fumecheng-12816	198	25	an	an	DET
fumecheng-12816	198	26	alarm	alarm	NOUN
fumecheng-12816	198	27	when	when	SCONJ
fumecheng-12816	198	28	the	the	DET
fumecheng-12816	198	29	amplitude	amplitude	NOUN
fumecheng-12816	198	30	approaches	approach	VERB
fumecheng-12816	198	31	to	to	ADP
fumecheng-12816	198	32	its	its	PRON
fumecheng-12816	198	33	threshold	threshold	NOUN
fumecheng-12816	198	34	value	value	NOUN
fumecheng-12816	198	35	.	.	PUNCT
fumecheng-12816	199	1	references	reference	NOUN
fumecheng-12816	199	2	1	1	NUM
fumecheng-12816	199	3	.	.	PUNCT
fumecheng-12816	200	1	iannacci	iannacci	PROPN
fumecheng-12816	200	2	,	,	PUNCT
fumecheng-12816	200	3	j.	j.	PROPN
fumecheng-12816	200	4	,	,	PUNCT
fumecheng-12816	200	5	2023	2023	NUM
fumecheng-12816	200	6	,	,	PUNCT
fumecheng-12816	200	7	modelling	modelling	NOUN
fumecheng-12816	200	8	,	,	PUNCT
fumecheng-12816	200	9	validation	validation	NOUN
fumecheng-12816	200	10	and	and	CCONJ
fumecheng-12816	200	11	experimental	experimental	ADJ
fumecheng-12816	200	12	analysis	analysis	NOUN
fumecheng-12816	200	13	of	of	ADP
fumecheng-12816	200	14	diverse	diverse	ADJ
fumecheng-12816	200	15	rf	rf	ADJ
fumecheng-12816	200	16	-	-	PUNCT
fumecheng-12816	200	17	mems	mems	ADJ
fumecheng-12816	200	18	ohmic	ohmic	ADJ
fumecheng-12816	200	19	switch	switch	NOUN
fumecheng-12816	200	20	designs	design	NOUN
fumecheng-12816	200	21	in	in	ADP
fumecheng-12816	200	22	view	view	NOUN
fumecheng-12816	200	23	of	of	ADP
fumecheng-12816	200	24	beyond-5	beyond-5	NOUN
fumecheng-12816	200	25	g	g	NOUN
fumecheng-12816	200	26	,	,	PUNCT
fumecheng-12816	200	27	6	6	NUM
fumecheng-12816	200	28	g	g	NOUN
fumecheng-12816	200	29	and	and	CCONJ
fumecheng-12816	200	30	future	future	ADJ
fumecheng-12816	200	31	networks	network	NOUN
fumecheng-12816	200	32	—	—	PUNCT
fumecheng-12816	200	33	part	part	NOUN
fumecheng-12816	200	34	1	1	NUM
fumecheng-12816	200	35	,	,	PUNCT
fumecheng-12816	200	36	sensors	sensor	NOUN
fumecheng-12816	200	37	,	,	PUNCT
fumecheng-12816	200	38	23	23	NUM
fumecheng-12816	200	39	,	,	PUNCT
fumecheng-12816	200	40	3380	3380	NUM
fumecheng-12816	200	41	.	.	PUNCT
fumecheng-12816	201	1	2	2	NUM
fumecheng-12816	201	2	.	.	X
fumecheng-12816	201	3	zhang	zhang	PROPN
fumecheng-12816	201	4	,	,	PUNCT
fumecheng-12816	201	5	x.s	x.s	PROPN
fumecheng-12816	201	6	.	.	PROPN
fumecheng-12816	201	7	,	,	PUNCT
fumecheng-12816	201	8	kwon	kwon	PROPN
fumecheng-12816	201	9	,	,	PUNCT
fumecheng-12816	201	10	k.	k.	PROPN
fumecheng-12816	201	11	,	,	PUNCT
fumecheng-12816	201	12	henriksson	henriksson	PROPN
fumecheng-12816	201	13	,	,	PUNCT
fumecheng-12816	201	14	j.	j.	PROPN
fumecheng-12816	201	15	,	,	PUNCT
fumecheng-12816	201	16	luo	luo	PROPN
fumecheng-12816	201	17	,	,	PUNCT
fumecheng-12816	201	18	j.h	j.h	PROPN
fumecheng-12816	201	19	.	.	PROPN
fumecheng-12816	201	20	,	,	PUNCT
fumecheng-12816	201	21	wu	wu	PROPN
fumecheng-12816	201	22	,	,	PUNCT
fumecheng-12816	201	23	m.c	m.c	PROPN
fumecheng-12816	201	24	.	.	PROPN
fumecheng-12816	201	25	,	,	PUNCT
fumecheng-12816	201	26	2022	2022	NUM
fumecheng-12816	201	27	,	,	PUNCT
fumecheng-12816	201	28	a	a	DET
fumecheng-12816	201	29	large	large	ADJ
fumecheng-12816	201	30	-	-	PUNCT
fumecheng-12816	201	31	scale	scale	NOUN
fumecheng-12816	201	32	microelectromechanicalsystems	microelectromechanicalsystem	NOUN
fumecheng-12816	201	33	-	-	PUNCT
fumecheng-12816	201	34	based	base	VERB
fumecheng-12816	201	35	silicon	silicon	NOUN
fumecheng-12816	201	36	photonics	photonics	PROPN
fumecheng-12816	201	37	lidar	lidar	NOUN
fumecheng-12816	201	38	,	,	PUNCT
fumecheng-12816	201	39	nature	nature	NOUN
fumecheng-12816	201	40	,	,	PUNCT
fumecheng-12816	201	41	603	603	NUM
fumecheng-12816	201	42	,	,	PUNCT
fumecheng-12816	201	43	253	253	NUM
fumecheng-12816	201	44	-	-	SYM
fumecheng-12816	201	45	258	258	NUM
fumecheng-12816	201	46	.	.	PUNCT
fumecheng-12816	202	1	3	3	X
fumecheng-12816	202	2	.	.	X
fumecheng-12816	203	1	he	he	PRON
fumecheng-12816	203	2	,	,	PUNCT
fumecheng-12816	203	3	j.h	j.h	PROPN
fumecheng-12816	203	4	.	.	PROPN
fumecheng-12816	203	5	,	,	PUNCT
fumecheng-12816	203	6	he	he	PRON
fumecheng-12816	203	7	,	,	PUNCT
fumecheng-12816	203	8	c.h	c.h	PROPN
fumecheng-12816	203	9	.	.	PROPN
fumecheng-12816	203	10	,	,	PUNCT
fumecheng-12816	203	11	qian	qian	PROPN
fumecheng-12816	203	12	,	,	PUNCT
fumecheng-12816	203	13	m.y	m.y	PROPN
fumecheng-12816	203	14	.	.	PROPN
fumecheng-12816	203	15	,	,	PUNCT
fumecheng-12816	203	16	alsolami	alsolami	PROPN
fumecheng-12816	203	17	,	,	PUNCT
fumecheng-12816	203	18	a.a	a.a	PROPN
fumecheng-12816	203	19	.	.	PROPN
fumecheng-12816	203	20	,	,	PUNCT
fumecheng-12816	203	21	2024	2024	NUM
fumecheng-12816	203	22	,	,	PUNCT
fumecheng-12816	203	23	piezoelectric	piezoelectric	ADJ
fumecheng-12816	203	24	biosensor	biosensor	NOUN
fumecheng-12816	203	25	based	base	VERB
fumecheng-12816	203	26	on	on	ADP
fumecheng-12816	203	27	ultrasensitive	ultrasensitive	ADJ
fumecheng-12816	203	28	mems	mem	NOUN
fumecheng-12816	203	29	system	system	NOUN
fumecheng-12816	203	30	,	,	PUNCT
fumecheng-12816	203	31	sensors	sensor	NOUN
fumecheng-12816	203	32	and	and	CCONJ
fumecheng-12816	203	33	actuators	actuator	NOUN
fumecheng-12816	203	34	a	a	PRON
fumecheng-12816	203	35	:	:	PUNCT
fumecheng-12816	203	36	physical	physical	ADJ
fumecheng-12816	203	37	,	,	PUNCT
fumecheng-12816	203	38	376	376	NUM
fumecheng-12816	203	39	,	,	PUNCT
fumecheng-12816	203	40	115664	115664	NUM
fumecheng-12816	203	41	.	.	PUNCT
fumecheng-12816	204	1	4	4	NUM
fumecheng-12816	204	2	.	.	NUM
fumecheng-12816	204	3	valles	valle	NOUN
fumecheng-12816	204	4	,	,	PUNCT
fumecheng-12816	204	5	a.e	a.e	PROPN
fumecheng-12816	204	6	.	.	PROPN
fumecheng-12816	204	7	,	,	PUNCT
fumecheng-12816	204	8	alva	alva	PROPN
fumecheng-12816	204	9	,	,	PUNCT
fumecheng-12816	204	10	v.r	v.r	PROPN
fumecheng-12816	204	11	.	.	PROPN
fumecheng-12816	204	12	,	,	PUNCT
fumecheng-12816	204	13	belokonov	belokonov	PROPN
fumecheng-12816	204	14	,	,	PUNCT
fumecheng-12816	204	15	i.	i.	NOUN
fumecheng-12816	204	16	,	,	PUNCT
fumecheng-12816	204	17	2023	2023	NUM
fumecheng-12816	204	18	,	,	PUNCT
fumecheng-12816	204	19	calibration	calibration	NOUN
fumecheng-12816	204	20	method	method	NOUN
fumecheng-12816	204	21	of	of	ADP
fumecheng-12816	204	22	mems	mem	NOUN
fumecheng-12816	204	23	gyroscopes	gyroscope	NOUN
fumecheng-12816	204	24	using	use	VERB
fumecheng-12816	204	25	a	a	DET
fumecheng-12816	204	26	robot	robot	NOUN
fumecheng-12816	204	27	manipulator	manipulator	NOUN
fumecheng-12816	204	28	,	,	PUNCT
fumecheng-12816	204	29	aerospace	aerospace	NOUN
fumecheng-12816	204	30	and	and	CCONJ
fumecheng-12816	204	31	electronic	electronic	ADJ
fumecheng-12816	204	32	system	system	NOUN
fumecheng-12816	204	33	magazine	magazine	NOUN
fumecheng-12816	204	34	,	,	PUNCT
fumecheng-12816	204	35	38(3	38(3	NUM
fumecheng-12816	204	36	)	)	PUNCT
fumecheng-12816	204	37	,	,	PUNCT
fumecheng-12816	204	38	pp	pp	PROPN
fumecheng-12816	204	39	.	.	PUNCT
fumecheng-12816	205	1	20	20	NUM
fumecheng-12816	205	2	-	-	SYM
fumecheng-12816	205	3	27	27	NUM
fumecheng-12816	205	4	.	.	PUNCT
fumecheng-12816	206	1	5	5	NUM
fumecheng-12816	206	2	.	.	X
fumecheng-12816	206	3	middlemiss	middlemiss	PROPN
fumecheng-12816	206	4	,	,	PUNCT
fumecheng-12816	206	5	r.p	r.p	PROPN
fumecheng-12816	206	6	.	.	PROPN
fumecheng-12816	206	7	,	,	PUNCT
fumecheng-12816	206	8	samarelli	samarelli	PROPN
fumecheng-12816	206	9	,	,	PUNCT
fumecheng-12816	206	10	a.	a.	NOUN
fumecheng-12816	206	11	,	,	PUNCT
fumecheng-12816	206	12	paul	paul	PROPN
fumecheng-12816	206	13	,	,	PUNCT
fumecheng-12816	206	14	d.j	d.j	PROPN
fumecheng-12816	206	15	.	.	PROPN
fumecheng-12816	206	16	,	,	PUNCT
fumecheng-12816	206	17	et	et	PROPN
fumecheng-12816	206	18	al	al	PROPN
fumecheng-12816	206	19	.	.	PROPN
fumecheng-12816	206	20	,	,	PUNCT
fumecheng-12816	206	21	2016	2016	NUM
fumecheng-12816	206	22	,	,	PUNCT
fumecheng-12816	206	23	measurement	measurement	NOUN
fumecheng-12816	206	24	of	of	ADP
fumecheng-12816	206	25	the	the	DET
fumecheng-12816	206	26	earth	earth	NOUN
fumecheng-12816	206	27	tides	tide	VERB
fumecheng-12816	206	28	with	with	ADP
fumecheng-12816	206	29	a	a	DET
fumecheng-12816	206	30	mems	mem	NOUN
fumecheng-12816	206	31	gravimeter	gravimeter	NOUN
fumecheng-12816	206	32	,	,	PUNCT
fumecheng-12816	206	33	nature	nature	NOUN
fumecheng-12816	206	34	,	,	PUNCT
fumecheng-12816	206	35	531	531	NUM
fumecheng-12816	206	36	,	,	PUNCT
fumecheng-12816	206	37	pp	pp	ADJ
fumecheng-12816	206	38	.	.	PUNCT
fumecheng-12816	207	1	614	614	NUM
fumecheng-12816	207	2	-	-	SYM
fumecheng-12816	207	3	617	617	NUM
fumecheng-12816	207	4	.	.	NOUN
fumecheng-12816	208	1	6	6	NUM
fumecheng-12816	208	2	.	.	X
fumecheng-12816	208	3	gu	gu	PROPN
fumecheng-12816	208	4	,	,	PUNCT
fumecheng-12816	208	5	w.	w.	PROPN
fumecheng-12816	208	6	,	,	PUNCT
fumecheng-12816	208	7	hou	hou	PROPN
fumecheng-12816	208	8	,	,	PUNCT
fumecheng-12816	208	9	c.y	c.y	PROPN
fumecheng-12816	208	10	.	.	PROPN
fumecheng-12816	208	11	,	,	PUNCT
fumecheng-12816	208	12	zhang	zhang	PROPN
fumecheng-12816	208	13	,	,	PUNCT
fumecheng-12816	208	14	q.h	q.h	PROPN
fumecheng-12816	208	15	.	.	PROPN
fumecheng-12816	208	16	,	,	PUNCT
fumecheng-12816	208	17	et	et	PROPN
fumecheng-12816	208	18	al	al	PROPN
fumecheng-12816	208	19	.	.	PROPN
fumecheng-12816	208	20	,	,	PUNCT
fumecheng-12816	208	21	2019	2019	NUM
fumecheng-12816	208	22	,	,	PUNCT
fumecheng-12816	208	23	present	present	ADJ
fumecheng-12816	208	24	situation	situation	NOUN
fumecheng-12816	208	25	and	and	CCONJ
fumecheng-12816	208	26	development	development	NOUN
fumecheng-12816	208	27	trend	trend	NOUN
fumecheng-12816	208	28	of	of	ADP
fumecheng-12816	208	29	intelligent	intelligent	ADJ
fumecheng-12816	208	30	garment	garment	NOUN
fumecheng-12816	208	31	,	,	PUNCT
fumecheng-12816	208	32	journal	journal	NOUN
fumecheng-12816	208	33	of	of	ADP
fumecheng-12816	208	34	donghua	donghua	PROPN
fumecheng-12816	208	35	university	university	PROPN
fumecheng-12816	208	36	(	(	PUNCT
fumecheng-12816	208	37	natural	natural	ADJ
fumecheng-12816	208	38	science	science	NOUN
fumecheng-12816	208	39	)	)	PUNCT
fumecheng-12816	208	40	,	,	PUNCT
fumecheng-12816	208	41	45(6	45(6	NUM
fumecheng-12816	208	42	)	)	PUNCT
fumecheng-12816	208	43	,	,	PUNCT
fumecheng-12816	208	44	pp	pp	PROPN
fumecheng-12816	208	45	.	.	PUNCT
fumecheng-12816	208	46	837	837	NUM
fumecheng-12816	208	47	-	-	SYM
fumecheng-12816	208	48	843	843	NUM
fumecheng-12816	208	49	.	.	NOUN
fumecheng-12816	209	1	7	7	NUM
fumecheng-12816	209	2	.	.	X
fumecheng-12816	209	3	zheng	zheng	PROPN
fumecheng-12816	209	4	,	,	PUNCT
fumecheng-12816	209	5	c.	c.	PROPN
fumecheng-12816	209	6	,	,	PUNCT
fumecheng-12816	209	7	zou	zou	PROPN
fumecheng-12816	209	8	,	,	PUNCT
fumecheng-12816	209	9	y.l	y.l	PROPN
fumecheng-12816	209	10	.	.	PROPN
fumecheng-12816	209	11	,	,	PUNCT
fumecheng-12816	209	12	hu	hu	PROPN
fumecheng-12816	209	13	,	,	PUNCT
fumecheng-12816	209	14	j.y	j.y	PROPN
fumecheng-12816	209	15	.	.	PROPN
fumecheng-12816	209	16	,	,	PUNCT
fumecheng-12816	209	17	2021	2021	NUM
fumecheng-12816	209	18	,	,	PUNCT
fumecheng-12816	209	19	et	et	PROPN
fumecheng-12816	209	20	al	al	PROPN
fumecheng-12816	209	21	.	.	PUNCT
fumecheng-12816	210	1	research	research	NOUN
fumecheng-12816	210	2	advances	advance	NOUN
fumecheng-12816	210	3	in	in	ADP
fumecheng-12816	210	4	wearable	wearable	ADJ
fumecheng-12816	210	5	nfc	nfc	NOUN
fumecheng-12816	210	6	fabric	fabric	NOUN
fumecheng-12816	210	7	antenna	antenna	NOUN
fumecheng-12816	210	8	and	and	CCONJ
fumecheng-12816	210	9	energy	energy	NOUN
fumecheng-12816	210	10	transfer	transfer	NOUN
fumecheng-12816	210	11	,	,	PUNCT
fumecheng-12816	210	12	journal	journal	NOUN
fumecheng-12816	210	13	of	of	ADP
fumecheng-12816	210	14	donghua	donghua	PROPN
fumecheng-12816	210	15	university	university	PROPN
fumecheng-12816	210	16	(	(	PUNCT
fumecheng-12816	210	17	natural	natural	ADJ
fumecheng-12816	210	18	science	science	NOUN
fumecheng-12816	210	19	)	)	PUNCT
fumecheng-12816	210	20	,	,	PUNCT
fumecheng-12816	210	21	47(5	47(5	NOUN
fumecheng-12816	210	22	)	)	PUNCT
fumecheng-12816	210	23	,	,	PUNCT
fumecheng-12816	210	24	pp	pp	ADJ
fumecheng-12816	210	25	.	.	PUNCT
fumecheng-12816	211	1	37	37	NUM
fumecheng-12816	211	2	-	-	SYM
fumecheng-12816	211	3	46	46	NUM
fumecheng-12816	211	4	.	.	NOUN
fumecheng-12816	212	1	8	8	NUM
fumecheng-12816	212	2	.	.	X
fumecheng-12816	213	1	mikhasev	mikhasev	NOUN
fumecheng-12816	213	2	,	,	PUNCT
fumecheng-12816	213	3	g.	g.	PROPN
fumecheng-12816	213	4	,	,	PUNCT
fumecheng-12816	213	5	radi	radi	NOUN
fumecheng-12816	213	6	,	,	PUNCT
fumecheng-12816	213	7	e.	e.	PROPN
fumecheng-12816	213	8	,	,	PUNCT
fumecheng-12816	213	9	misnik	misnik	NOUN
fumecheng-12816	213	10	,	,	PUNCT
fumecheng-12816	213	11	v.	v.	ADV
fumecheng-12816	213	12	,	,	PUNCT
fumecheng-12816	213	13	2024	2024	NUM
fumecheng-12816	213	14	,	,	PUNCT
fumecheng-12816	213	15	modeling	model	VERB
fumecheng-12816	213	16	pull	pull	NOUN
fumecheng-12816	213	17	-	-	PUNCT
fumecheng-12816	213	18	in	in	ADP
fumecheng-12816	213	19	instability	instability	NOUN
fumecheng-12816	213	20	of	of	ADP
fumecheng-12816	213	21	cnt	cnt	PROPN
fumecheng-12816	213	22	nanotweezers	nanotweezer	NOUN
fumecheng-12816	213	23	under	under	ADP
fumecheng-12816	213	24	electrostatic	electrostatic	ADJ
fumecheng-12816	213	25	and	and	CCONJ
fumecheng-12816	213	26	van	van	PROPN
fumecheng-12816	213	27	der	der	NOUN
fumecheng-12816	213	28	waals	waal	NOUN
fumecheng-12816	213	29	attractions	attraction	NOUN
fumecheng-12816	213	30	based	base	VERB
fumecheng-12816	213	31	on	on	ADP
fumecheng-12816	213	32	the	the	DET
fumecheng-12816	213	33	nonlocal	nonlocal	ADJ
fumecheng-12816	213	34	theory	theory	NOUN
fumecheng-12816	213	35	of	of	ADP
fumecheng-12816	213	36	elasticity	elasticity	NOUN
fumecheng-12816	213	37	,	,	PUNCT
fumecheng-12816	213	38	international	international	ADJ
fumecheng-12816	213	39	journal	journal	NOUN
fumecheng-12816	213	40	of	of	ADP
fumecheng-12816	213	41	engineering	engineering	NOUN
fumecheng-12816	213	42	science	science	NOUN
fumecheng-12816	213	43	,	,	PUNCT
fumecheng-12816	213	44	195	195	NUM
fumecheng-12816	213	45	,	,	PUNCT
fumecheng-12816	213	46	104012	104012	NUM
fumecheng-12816	213	47	.	.	PUNCT
fumecheng-12816	214	1	9	9	X
fumecheng-12816	214	2	.	.	X
fumecheng-12816	214	3	tian	tian	PROPN
fumecheng-12816	214	4	,	,	PUNCT
fumecheng-12816	214	5	d.	d.	PROPN
fumecheng-12816	214	6	,	,	PUNCT
fumecheng-12816	214	7	ain	ain	PROPN
fumecheng-12816	214	8	,	,	PUNCT
fumecheng-12816	214	9	q.t	q.t	PROPN
fumecheng-12816	214	10	.	.	PROPN
fumecheng-12816	214	11	,	,	PUNCT
fumecheng-12816	214	12	anjum	anjum	PROPN
fumecheng-12816	214	13	,	,	PUNCT
fumecheng-12816	214	14	n.	n.	PROPN
fumecheng-12816	214	15	,	,	PUNCT
fumecheng-12816	214	16	et	et	PROPN
fumecheng-12816	214	17	al	al	PROPN
fumecheng-12816	214	18	.	.	PROPN
fumecheng-12816	214	19	,	,	PUNCT
fumecheng-12816	214	20	,	,	PUNCT
fumecheng-12816	214	21	2021	2021	NUM
fumecheng-12816	214	22	,	,	PUNCT
fumecheng-12816	214	23	fractal	fractal	ADJ
fumecheng-12816	214	24	n	n	CCONJ
fumecheng-12816	214	25	/	/	SYM
fumecheng-12816	214	26	mems	mem	NOUN
fumecheng-12816	214	27	:	:	PUNCT
fumecheng-12816	214	28	from	from	ADP
fumecheng-12816	214	29	pull	pull	NOUN
fumecheng-12816	214	30	-	-	PUNCT
fumecheng-12816	214	31	in	in	ADP
fumecheng-12816	214	32	instability	instability	NOUN
fumecheng-12816	214	33	to	to	PART
fumecheng-12816	214	34	pull	pull	VERB
fumecheng-12816	214	35	-	-	PUNCT
fumecheng-12816	214	36	in	in	ADP
fumecheng-12816	214	37	stability	stability	NOUN
fumecheng-12816	214	38	,	,	PUNCT
fumecheng-12816	214	39	fractals	fractal	NOUN
fumecheng-12816	214	40	,	,	PUNCT
fumecheng-12816	214	41	29(2	29(2	NUM
fumecheng-12816	214	42	)	)	PUNCT
fumecheng-12816	214	43	,	,	PUNCT
fumecheng-12816	214	44	2150030	2150030	NUM
fumecheng-12816	214	45	.	.	PUNCT
fumecheng-12816	215	1	10	10	NUM
fumecheng-12816	215	2	.	.	X
fumecheng-12816	216	1	yang	yang	PROPN
fumecheng-12816	216	2	,	,	PUNCT
fumecheng-12816	216	3	q.	q.	PROPN
fumecheng-12816	216	4	,	,	PUNCT
fumecheng-12816	216	5	2023	2023	NUM
fumecheng-12816	216	6	,	,	PUNCT
fumecheng-12816	216	7	a	a	DET
fumecheng-12816	216	8	mathematical	mathematical	ADJ
fumecheng-12816	216	9	control	control	NOUN
fumecheng-12816	216	10	for	for	ADP
fumecheng-12816	216	11	the	the	DET
fumecheng-12816	216	12	pseudo	pseudo	NOUN
fumecheng-12816	216	13	-	-	ADJ
fumecheng-12816	216	14	pull	pull	NOUN
fumecheng-12816	216	15	-	-	PUNCT
fumecheng-12816	216	16	in	in	ADP
fumecheng-12816	216	17	stability	stability	NOUN
fumecheng-12816	216	18	arising	arise	VERB
fumecheng-12816	216	19	in	in	ADP
fumecheng-12816	216	20	a	a	DET
fumecheng-12816	216	21	micro	micro	ADJ
fumecheng-12816	216	22	-	-	ADJ
fumecheng-12816	216	23	electromechanical	electromechanical	ADJ
fumecheng-12816	216	24	system	system	NOUN
fumecheng-12816	216	25	,	,	PUNCT
fumecheng-12816	216	26	journal	journal	NOUN
fumecheng-12816	216	27	of	of	ADP
fumecheng-12816	216	28	low	low	ADJ
fumecheng-12816	216	29	frequency	frequency	NOUN
fumecheng-12816	216	30	noise	noise	NOUN
fumecheng-12816	216	31	,	,	PUNCT
fumecheng-12816	216	32	vibration	vibration	NOUN
fumecheng-12816	216	33	and	and	CCONJ
fumecheng-12816	216	34	active	active	ADJ
fumecheng-12816	216	35	control	control	NOUN
fumecheng-12816	216	36	,	,	PUNCT
fumecheng-12816	216	37	42(2	42(2	NOUN
fumecheng-12816	216	38	)	)	PUNCT
fumecheng-12816	216	39	,	,	PUNCT
fumecheng-12816	216	40	pp	pp	ADP
fumecheng-12816	216	41	.	.	PUNCT
fumecheng-12816	217	1	927	927	NUM
fumecheng-12816	217	2	-	-	SYM
fumecheng-12816	217	3	934	934	NUM
fumecheng-12816	217	4	.	.	PUNCT
fumecheng-12816	218	1	11	11	NUM
fumecheng-12816	218	2	.	.	X
fumecheng-12816	219	1	ghommem	ghommem	PROPN
fumecheng-12816	219	2	,	,	PUNCT
fumecheng-12816	219	3	m.	m.	NOUN
fumecheng-12816	219	4	,	,	PUNCT
fumecheng-12816	219	5	hemid	hemid	ADJ
fumecheng-12816	219	6	,	,	PUNCT
fumecheng-12816	219	7	m.	m.	NOUN
fumecheng-12816	219	8	,	,	PUNCT
fumecheng-12816	219	9	alattar	alattar	NOUN
fumecheng-12816	219	10	,	,	PUNCT
fumecheng-12816	219	11	b.	b.	PROPN
fumecheng-12816	219	12	,	,	PUNCT
fumecheng-12816	219	13	et	et	PROPN
fumecheng-12816	219	14	al	al	PROPN
fumecheng-12816	219	15	.	.	PROPN
fumecheng-12816	219	16	,	,	PUNCT
fumecheng-12816	219	17	development	development	NOUN
fumecheng-12816	219	18	of	of	ADP
fumecheng-12816	219	19	mems	mems	ADJ
fumecheng-12816	219	20	gas	gas	NOUN
fumecheng-12816	219	21	sensors	sensor	NOUN
fumecheng-12816	219	22	equipped	equip	VERB
fumecheng-12816	219	23	with	with	ADP
fumecheng-12816	219	24	metal	metal	NOUN
fumecheng-12816	219	25	organic	organic	ADJ
fumecheng-12816	219	26	frameworks	framework	NOUN
fumecheng-12816	219	27	,	,	PUNCT
fumecheng-12816	219	28	sensors	sensor	NOUN
fumecheng-12816	219	29	and	and	CCONJ
fumecheng-12816	219	30	actuators	actuator	NOUN
fumecheng-12816	219	31	a	a	PRON
fumecheng-12816	219	32	:	:	PUNCT
fumecheng-12816	219	33	physical	physical	ADJ
fumecheng-12816	219	34	,	,	PUNCT
fumecheng-12816	219	35	371	371	NUM
fumecheng-12816	219	36	,	,	PUNCT
fumecheng-12816	219	37	115296	115296	NUM
fumecheng-12816	219	38	.	.	PUNCT
fumecheng-12816	220	1	198	198	NUM
fumecheng-12816	220	2	j.-h	j.-h	NOUN
fumecheng-12816	220	3	.	.	PUNCT
fumecheng-12816	221	1	he	he	PRON
fumecheng-12816	221	2	12	12	NUM
fumecheng-12816	221	3	.	.	PUNCT
fumecheng-12816	222	1	shubham	shubham	PROPN
fumecheng-12816	222	2	,	,	PUNCT
fumecheng-12816	222	3	s.	s.	PROPN
fumecheng-12816	222	4	,	,	PUNCT
fumecheng-12816	222	5	nawaz	nawaz	NOUN
fumecheng-12816	222	6	,	,	PUNCT
fumecheng-12816	222	7	m.	m.	NOUN
fumecheng-12816	222	8	,	,	PUNCT
fumecheng-12816	222	9	song	song	NOUN
fumecheng-12816	222	10	,	,	PUNCT
fumecheng-12816	222	11	x.	x.	PROPN
fumecheng-12816	222	12	,	,	PUNCT
fumecheng-12816	222	13	et	et	PROPN
fumecheng-12816	222	14	al	al	PROPN
fumecheng-12816	222	15	.	.	PROPN
fumecheng-12816	222	16	,	,	PUNCT
fumecheng-12816	222	17	2024	2024	NUM
fumecheng-12816	222	18	,	,	PUNCT
fumecheng-12816	222	19	a	a	DET
fumecheng-12816	222	20	behavioral	behavioral	ADJ
fumecheng-12816	222	21	nonlinear	nonlinear	ADJ
fumecheng-12816	222	22	modeling	model	VERB
fumecheng-12816	222	23	implementation	implementation	NOUN
fumecheng-12816	222	24	for	for	ADP
fumecheng-12816	222	25	mems	mem	NOUN
fumecheng-12816	222	26	capacitive	capacitive	ADJ
fumecheng-12816	222	27	microphones	microphone	NOUN
fumecheng-12816	222	28	,	,	PUNCT
fumecheng-12816	222	29	sensors	sensor	NOUN
fumecheng-12816	222	30	and	and	CCONJ
fumecheng-12816	222	31	actuators	actuator	NOUN
fumecheng-12816	223	1	a	a	PRON
fumecheng-12816	223	2	:	:	PUNCT
fumecheng-12816	223	3	physical	physical	ADJ
fumecheng-12816	223	4	,	,	PUNCT
fumecheng-12816	223	5	371	371	NUM
fumecheng-12816	223	6	,	,	PUNCT
fumecheng-12816	223	7	115294	115294	NUM
fumecheng-12816	223	8	.	.	PUNCT
fumecheng-12816	224	1	13	13	NUM
fumecheng-12816	224	2	.	.	X
fumecheng-12816	225	1	wang	wang	PROPN
fumecheng-12816	225	2	,	,	PUNCT
fumecheng-12816	225	3	c.l	c.l	PROPN
fumecheng-12816	225	4	.	.	PROPN
fumecheng-12816	225	5	and	and	CCONJ
fumecheng-12816	225	6	madou	madou	PROPN
fumecheng-12816	225	7	,	,	PUNCT
fumecheng-12816	225	8	m.	m.	NOUN
fumecheng-12816	225	9	,	,	PUNCT
fumecheng-12816	225	10	2005	2005	NUM
fumecheng-12816	225	11	,	,	PUNCT
fumecheng-12816	225	12	from	from	ADP
fumecheng-12816	225	13	mems	mem	NOUN
fumecheng-12816	225	14	to	to	ADP
fumecheng-12816	225	15	nems	nem	NOUN
fumecheng-12816	225	16	with	with	ADP
fumecheng-12816	225	17	carbon	carbon	NOUN
fumecheng-12816	225	18	,	,	PUNCT
fumecheng-12816	225	19	biosensors	biosensor	NOUN
fumecheng-12816	225	20	&	&	CCONJ
fumecheng-12816	225	21	bioelectronics	bioelectronic	NOUN
fumecheng-12816	225	22	,	,	PUNCT
fumecheng-12816	225	23	20(10	20(10	NUM
fumecheng-12816	225	24	)	)	PUNCT
fumecheng-12816	225	25	,	,	PUNCT
fumecheng-12816	225	26	pp	pp	ADP
fumecheng-12816	225	27	.	.	PUNCT
fumecheng-12816	226	1	2181	2181	NUM
fumecheng-12816	226	2	-	-	SYM
fumecheng-12816	226	3	2187	2187	NUM
fumecheng-12816	226	4	.	.	PUNCT
fumecheng-12816	227	1	14	14	NUM
fumecheng-12816	227	2	.	.	PUNCT
fumecheng-12816	228	1	liu	liu	PROPN
fumecheng-12816	228	2	,	,	PUNCT
fumecheng-12816	228	3	x.y	x.y	PROPN
fumecheng-12816	228	4	.	.	PROPN
fumecheng-12816	228	5	,	,	PUNCT
fumecheng-12816	228	6	whalen	whalen	PROPN
fumecheng-12816	228	7	,	,	PUNCT
fumecheng-12816	228	8	a.j	a.j	PROPN
fumecheng-12816	228	9	.	.	PROPN
fumecheng-12816	228	10	,	,	PUNCT
fumecheng-12816	228	11	kim	kim	PROPN
fumecheng-12816	228	12	,	,	PUNCT
fumecheng-12816	228	13	k.	k.	PROPN
fumecheng-12816	228	14	,	,	PUNCT
fumecheng-12816	228	15	et	et	PROPN
fumecheng-12816	228	16	al	al	PROPN
fumecheng-12816	228	17	.	.	PROPN
fumecheng-12816	228	18	,	,	PUNCT
fumecheng-12816	228	19	2023	2023	NUM
fumecheng-12816	228	20	,	,	PUNCT
fumecheng-12816	228	21	mems	mems	PROPN
fumecheng-12816	228	22	micro	micro	NOUN
fumecheng-12816	228	23	-	-	NOUN
fumecheng-12816	228	24	coils	coil	NOUN
fumecheng-12816	228	25	for	for	ADP
fumecheng-12816	228	26	magnetic	magnetic	ADJ
fumecheng-12816	228	27	neurostimulation	neurostimulation	NOUN
fumecheng-12816	228	28	,	,	PUNCT
fumecheng-12816	228	29	biosensors	biosensor	NOUN
fumecheng-12816	228	30	&	&	CCONJ
fumecheng-12816	228	31	bioelectronics	bioelectronic	NOUN
fumecheng-12816	228	32	,	,	PUNCT
fumecheng-12816	228	33	227	227	NUM
fumecheng-12816	228	34	,	,	PUNCT
fumecheng-12816	228	35	115143	115143	NUM
fumecheng-12816	228	36	.	.	PUNCT
fumecheng-12816	229	1	15	15	NUM
fumecheng-12816	229	2	.	.	PUNCT
fumecheng-12816	230	1	manai	manai	PROPN
fumecheng-12816	230	2	,	,	PUNCT
fumecheng-12816	230	3	r.	r.	PROPN
fumecheng-12816	230	4	,	,	PUNCT
fumecheng-12816	230	5	scorsone	scorsone	NOUN
fumecheng-12816	230	6	,	,	PUNCT
fumecheng-12816	230	7	e.	e.	PROPN
fumecheng-12816	230	8	,	,	PUNCT
fumecheng-12816	230	9	rousseau	rousseau	PROPN
fumecheng-12816	230	10	,	,	PUNCT
fumecheng-12816	230	11	l.	l.	PROPN
fumecheng-12816	230	12	,	,	PUNCT
fumecheng-12816	230	13	et	et	PROPN
fumecheng-12816	230	14	al	al	PROPN
fumecheng-12816	230	15	.	.	PROPN
fumecheng-12816	230	16	,	,	PUNCT
fumecheng-12816	230	17	2014	2014	NUM
fumecheng-12816	230	18	,	,	PUNCT
fumecheng-12816	230	19	grafting	graft	VERB
fumecheng-12816	230	20	odorant	odorant	ADJ
fumecheng-12816	230	21	binding	bind	VERB
fumecheng-12816	230	22	proteins	protein	NOUN
fumecheng-12816	230	23	on	on	ADP
fumecheng-12816	230	24	diamond	diamond	PROPN
fumecheng-12816	230	25	bio	bio	NOUN
fumecheng-12816	230	26	-	-	PUNCT
fumecheng-12816	230	27	mems	mem	NOUN
fumecheng-12816	230	28	,	,	PUNCT
fumecheng-12816	230	29	biosensors	biosensor	NOUN
fumecheng-12816	230	30	&	&	CCONJ
fumecheng-12816	230	31	bioelectronics	bioelectronic	NOUN
fumecheng-12816	230	32	,	,	PUNCT
fumecheng-12816	230	33	60	60	NUM
fumecheng-12816	230	34	,	,	PUNCT
fumecheng-12816	230	35	pp	pp	ADJ
fumecheng-12816	230	36	.	.	PUNCT
fumecheng-12816	231	1	311	311	NUM
fumecheng-12816	231	2	-	-	SYM
fumecheng-12816	231	3	317	317	NUM
fumecheng-12816	231	4	.	.	PUNCT
fumecheng-12816	232	1	16	16	NUM
fumecheng-12816	232	2	.	.	PUNCT
fumecheng-12816	233	1	yang	yang	PROPN
fumecheng-12816	233	2	,	,	PUNCT
fumecheng-12816	233	3	y.	y.	PROPN
fumecheng-12816	233	4	,	,	PUNCT
fumecheng-12816	233	5	dai	dai	PROPN
fumecheng-12816	233	6	,	,	PUNCT
fumecheng-12816	233	7	z.h	z.h	PROPN
fumecheng-12816	233	8	.	.	PROPN
fumecheng-12816	233	9	,	,	PUNCT
fumecheng-12816	233	10	chen	chen	PROPN
fumecheng-12816	233	11	,	,	PUNCT
fumecheng-12816	233	12	y.	y.	PROPN
fumecheng-12816	233	13	,	,	PUNCT
fumecheng-12816	233	14	et	et	PROPN
fumecheng-12816	233	15	al	al	PROPN
fumecheng-12816	233	16	.	.	PROPN
fumecheng-12816	233	17	,	,	PUNCT
fumecheng-12816	233	18	2024	2024	NUM
fumecheng-12816	233	19	,	,	PUNCT
fumecheng-12816	233	20	emerging	emerge	VERB
fumecheng-12816	233	21	mems	mem	NOUN
fumecheng-12816	233	22	sensors	sensor	NOUN
fumecheng-12816	233	23	for	for	ADP
fumecheng-12816	233	24	ocean	ocean	PROPN
fumecheng-12816	233	25	physics	physics	PROPN
fumecheng-12816	233	26	:	:	PUNCT
fumecheng-12816	233	27	principles	principle	NOUN
fumecheng-12816	233	28	,	,	PUNCT
fumecheng-12816	233	29	materials	material	NOUN
fumecheng-12816	233	30	,	,	PUNCT
fumecheng-12816	233	31	and	and	CCONJ
fumecheng-12816	233	32	applications	application	NOUN
fumecheng-12816	233	33	,	,	PUNCT
fumecheng-12816	233	34	applied	apply	VERB
fumecheng-12816	233	35	physics	physics	NOUN
fumecheng-12816	233	36	reviews	review	NOUN
fumecheng-12816	233	37	,	,	PUNCT
fumecheng-12816	233	38	11(2	11(2	NOUN
fumecheng-12816	233	39	)	)	PUNCT
fumecheng-12816	233	40	,	,	PUNCT
fumecheng-12816	233	41	021320	021320	NUM
fumecheng-12816	233	42	.	.	PUNCT
fumecheng-12816	234	1	17	17	NUM
fumecheng-12816	234	2	.	.	PUNCT
fumecheng-12816	235	1	qin	qin	PROPN
fumecheng-12816	235	2	,	,	PUNCT
fumecheng-12816	235	3	x.	x.	PROPN
fumecheng-12816	235	4	,	,	PUNCT
fumecheng-12816	235	5	tang	tang	PROPN
fumecheng-12816	235	6	,	,	PUNCT
fumecheng-12816	235	7	l.d	l.d	PROPN
fumecheng-12816	235	8	.	.	PROPN
fumecheng-12816	235	9	,	,	PUNCT
fumecheng-12816	235	10	2024	2024	NUM
fumecheng-12816	235	11	,	,	PUNCT
fumecheng-12816	235	12	an	an	DET
fumecheng-12816	235	13	environmental	environmental	ADJ
fumecheng-12816	235	14	monitoring	monitoring	NOUN
fumecheng-12816	235	15	method	method	NOUN
fumecheng-12816	235	16	of	of	ADP
fumecheng-12816	235	17	ancient	ancient	ADJ
fumecheng-12816	235	18	buildings	building	NOUN
fumecheng-12816	235	19	based	base	VERB
fumecheng-12816	235	20	on	on	ADP
fumecheng-12816	235	21	the	the	DET
fumecheng-12816	235	22	micro	micro	PROPN
fumecheng-12816	235	23	electro	electro	ADJ
fumecheng-12816	235	24	mechanical	mechanical	ADJ
fumecheng-12816	235	25	system	system	NOUN
fumecheng-12816	235	26	accelerometers	accelerometer	NOUN
fumecheng-12816	235	27	,	,	PUNCT
fumecheng-12816	235	28	journal	journal	NOUN
fumecheng-12816	235	29	of	of	ADP
fumecheng-12816	235	30	nanoelectronics	nanoelectronic	NOUN
fumecheng-12816	235	31	and	and	CCONJ
fumecheng-12816	235	32	optoelectronics	optoelectronic	NOUN
fumecheng-12816	235	33	,	,	PUNCT
fumecheng-12816	235	34	19(1	19(1	NUM
fumecheng-12816	235	35	)	)	PUNCT
fumecheng-12816	235	36	,	,	PUNCT
fumecheng-12816	235	37	pp	pp	ADJ
fumecheng-12816	235	38	.	.	PUNCT
fumecheng-12816	236	1	36	36	NUM
fumecheng-12816	236	2	-	-	SYM
fumecheng-12816	236	3	45	45	NUM
fumecheng-12816	236	4	.	.	NOUN
fumecheng-12816	237	1	18	18	NUM
fumecheng-12816	237	2	.	.	PUNCT
fumecheng-12816	238	1	feng	feng	PROPN
fumecheng-12816	238	2	,	,	PUNCT
fumecheng-12816	238	3	g.q	g.q	PROPN
fumecheng-12816	238	4	.	.	PROPN
fumecheng-12816	238	5	,	,	PUNCT
fumecheng-12816	238	6	zhang	zhang	PROPN
fumecheng-12816	238	7	,	,	PUNCT
fumecheng-12816	238	8	l.	l.	PROPN
fumecheng-12816	238	9	,	,	PUNCT
fumecheng-12816	238	10	tang	tang	PROPN
fumecheng-12816	238	11	,	,	PUNCT
fumecheng-12816	238	12	w.	w.	NOUN
fumecheng-12816	238	13	,	,	PUNCT
fumecheng-12816	238	14	2023	2023	NUM
fumecheng-12816	238	15	,	,	PUNCT
fumecheng-12816	238	16	fractal	fractal	ADJ
fumecheng-12816	238	17	pull	pull	NOUN
fumecheng-12816	238	18	-	-	PUNCT
fumecheng-12816	238	19	in	in	ADP
fumecheng-12816	238	20	motion	motion	NOUN
fumecheng-12816	238	21	of	of	ADP
fumecheng-12816	238	22	electrostatic	electrostatic	ADJ
fumecheng-12816	238	23	mems	mem	NOUN
fumecheng-12816	238	24	resonators	resonator	NOUN
fumecheng-12816	238	25	by	by	ADP
fumecheng-12816	238	26	the	the	DET
fumecheng-12816	238	27	variational	variational	ADJ
fumecheng-12816	238	28	iteration	iteration	NOUN
fumecheng-12816	238	29	method	method	NOUN
fumecheng-12816	238	30	,	,	PUNCT
fumecheng-12816	238	31	fractals	fractal	NOUN
fumecheng-12816	238	32	,	,	PUNCT
fumecheng-12816	238	33	31(9	31(9	NUM
fumecheng-12816	238	34	)	)	PUNCT
fumecheng-12816	238	35	,	,	PUNCT
fumecheng-12816	238	36	2350122	2350122	NUM
fumecheng-12816	238	37	.	.	PUNCT
fumecheng-12816	239	1	19	19	NUM
fumecheng-12816	239	2	.	.	X
fumecheng-12816	239	3	anjum	anjum	PROPN
fumecheng-12816	239	4	,	,	PUNCT
fumecheng-12816	239	5	n.	n.	PROPN
fumecheng-12816	239	6	,	,	PUNCT
fumecheng-12816	239	7	rasheed	rasheed	NOUN
fumecheng-12816	239	8	,	,	PUNCT
fumecheng-12816	239	9	a.	a.	NOUN
fumecheng-12816	239	10	,	,	PUNCT
fumecheng-12816	239	11	he	he	PRON
fumecheng-12816	239	12	,	,	PUNCT
fumecheng-12816	239	13	j.h	j.h	PROPN
fumecheng-12816	239	14	.	.	PROPN
fumecheng-12816	239	15	,	,	PUNCT
fumecheng-12816	239	16	alsolami	alsolami	PROPN
fumecheng-12816	239	17	,	,	PUNCT
fumecheng-12816	239	18	a.a	a.a	PROPN
fumecheng-12816	239	19	.	.	PROPN
fumecheng-12816	239	20	,	,	PUNCT
fumecheng-12816	239	21	2024	2024	NUM
fumecheng-12816	239	22	,	,	PUNCT
fumecheng-12816	239	23	free	free	ADJ
fumecheng-12816	239	24	vibration	vibration	NOUN
fumecheng-12816	239	25	of	of	ADP
fumecheng-12816	239	26	a	a	DET
fumecheng-12816	239	27	tapered	tapered	ADJ
fumecheng-12816	239	28	beam	beam	NOUN
fumecheng-12816	239	29	by	by	ADP
fumecheng-12816	239	30	the	the	DET
fumecheng-12816	239	31	aboodh	aboodh	PROPN
fumecheng-12816	239	32	transform	transform	NOUN
fumecheng-12816	239	33	-	-	PUNCT
fumecheng-12816	239	34	based	base	VERB
fumecheng-12816	239	35	variational	variational	ADJ
fumecheng-12816	239	36	iteration	iteration	NOUN
fumecheng-12816	239	37	method	method	NOUN
fumecheng-12816	239	38	,	,	PUNCT
fumecheng-12816	239	39	journal	journal	NOUN
fumecheng-12816	239	40	of	of	ADP
fumecheng-12816	239	41	computational	computational	ADJ
fumecheng-12816	239	42	applied	apply	VERB
fumecheng-12816	239	43	mechanics	mechanic	NOUN
fumecheng-12816	239	44	,	,	PUNCT
fumecheng-12816	239	45	55(3	55(3	NUM
fumecheng-12816	239	46	)	)	PUNCT
fumecheng-12816	239	47	,	,	PUNCT
fumecheng-12816	239	48	pp	pp	ADP
fumecheng-12816	239	49	.	.	PUNCT
fumecheng-12816	240	1	440	440	NUM
fumecheng-12816	240	2	-	-	SYM
fumecheng-12816	240	3	450	450	NUM
fumecheng-12816	240	4	.	.	NOUN
fumecheng-12816	241	1	20	20	NUM
fumecheng-12816	241	2	.	.	PUNCT
fumecheng-12816	242	1	he	he	PRON
fumecheng-12816	242	2	,	,	PUNCT
fumecheng-12816	242	3	c.h	c.h	PROPN
fumecheng-12816	242	4	.	.	PROPN
fumecheng-12816	242	5	,	,	PUNCT
fumecheng-12816	242	6	el	el	PROPN
fumecheng-12816	242	7	-	-	PUNCT
fumecheng-12816	242	8	dib	dib	PROPN
fumecheng-12816	242	9	,	,	PUNCT
fumecheng-12816	242	10	y.o	y.o	PROPN
fumecheng-12816	242	11	.	.	PROPN
fumecheng-12816	242	12	,	,	PUNCT
fumecheng-12816	242	13	2022	2022	NUM
fumecheng-12816	242	14	,	,	PUNCT
fumecheng-12816	242	15	a	a	DET
fumecheng-12816	242	16	heuristic	heuristic	ADJ
fumecheng-12816	242	17	review	review	NOUN
fumecheng-12816	242	18	on	on	ADP
fumecheng-12816	242	19	the	the	DET
fumecheng-12816	242	20	homotopy	homotopy	NOUN
fumecheng-12816	242	21	perturbation	perturbation	NOUN
fumecheng-12816	242	22	method	method	NOUN
fumecheng-12816	242	23	for	for	ADP
fumecheng-12816	242	24	non	non	ADJ
fumecheng-12816	242	25	-	-	ADJ
fumecheng-12816	242	26	conservative	conservative	ADJ
fumecheng-12816	242	27	oscillators	oscillator	NOUN
fumecheng-12816	242	28	,	,	PUNCT
fumecheng-12816	242	29	journal	journal	NOUN
fumecheng-12816	242	30	of	of	ADP
fumecheng-12816	242	31	low	low	ADJ
fumecheng-12816	242	32	frequency	frequency	NOUN
fumecheng-12816	242	33	noise	noise	NOUN
fumecheng-12816	242	34	,	,	PUNCT
fumecheng-12816	242	35	vibration	vibration	NOUN
fumecheng-12816	242	36	&	&	CCONJ
fumecheng-12816	242	37	active	active	ADJ
fumecheng-12816	242	38	control	control	NOUN
fumecheng-12816	242	39	,	,	PUNCT
fumecheng-12816	242	40	41(2	41(2	NUM
fumecheng-12816	242	41	)	)	PUNCT
fumecheng-12816	242	42	,	,	PUNCT
fumecheng-12816	242	43	pp	pp	PROPN
fumecheng-12816	242	44	.	.	PUNCT
fumecheng-12816	243	1	572	572	NUM
fumecheng-12816	243	2	-	-	SYM
fumecheng-12816	243	3	603	603	NUM
fumecheng-12816	243	4	.	.	PUNCT
fumecheng-12816	244	1	21	21	NUM
fumecheng-12816	244	2	.	.	PUNCT
fumecheng-12816	245	1	ma	ma	PROPN
fumecheng-12816	245	2	,	,	PUNCT
fumecheng-12816	245	3	h.j	h.j	PROPN
fumecheng-12816	245	4	.	.	PROPN
fumecheng-12816	245	5	,	,	PUNCT
fumecheng-12816	245	6	2022	2022	NUM
fumecheng-12816	245	7	,	,	PUNCT
fumecheng-12816	245	8	simplified	simplified	ADJ
fumecheng-12816	245	9	hamiltonian	hamiltonian	ADJ
fumecheng-12816	245	10	-	-	PUNCT
fumecheng-12816	245	11	based	base	VERB
fumecheng-12816	245	12	frequency	frequency	NOUN
fumecheng-12816	245	13	-	-	PUNCT
fumecheng-12816	245	14	amplitude	amplitude	NOUN
fumecheng-12816	245	15	formulation	formulation	NOUN
fumecheng-12816	245	16	for	for	ADP
fumecheng-12816	245	17	nonlinear	nonlinear	ADJ
fumecheng-12816	245	18	vibration	vibration	NOUN
fumecheng-12816	245	19	systems	system	NOUN
fumecheng-12816	245	20	,	,	PUNCT
fumecheng-12816	245	21	facta	facta	PROPN
fumecheng-12816	245	22	universitatis	universitatis	PROPN
fumecheng-12816	245	23	-	-	PUNCT
fumecheng-12816	245	24	series	series	NOUN
fumecheng-12816	245	25	mechanical	mechanical	ADJ
fumecheng-12816	245	26	engineering	engineering	NOUN
fumecheng-12816	245	27	,	,	PUNCT
fumecheng-12816	245	28	20(2	20(2	NUM
fumecheng-12816	245	29	)	)	PUNCT
fumecheng-12816	245	30	,	,	PUNCT
fumecheng-12816	245	31	pp	pp	PROPN
fumecheng-12816	245	32	.	.	PUNCT
fumecheng-12816	246	1	445	445	NUM
fumecheng-12816	246	2	-	-	SYM
fumecheng-12816	246	3	455	455	NUM
fumecheng-12816	246	4	.	.	PUNCT
fumecheng-12816	247	1	22	22	NUM
fumecheng-12816	247	2	.	.	PUNCT
fumecheng-12816	248	1	fu	fu	PROPN
fumecheng-12816	248	2	,	,	PUNCT
fumecheng-12816	248	3	y.	y.	PROPN
fumecheng-12816	248	4	,	,	PUNCT
fumecheng-12816	248	5	zhang	zhang	PROPN
fumecheng-12816	248	6	,	,	PUNCT
fumecheng-12816	248	7	j.	j.	PROPN
fumecheng-12816	248	8	,	,	PUNCT
fumecheng-12816	248	9	wan	wan	PROPN
fumecheng-12816	248	10	,	,	PUNCT
fumecheng-12816	248	11	l.	l.	PROPN
fumecheng-12816	248	12	,	,	PUNCT
fumecheng-12816	248	13	2011	2011	NUM
fumecheng-12816	248	14	,	,	PUNCT
fumecheng-12816	248	15	application	application	NOUN
fumecheng-12816	248	16	of	of	ADP
fumecheng-12816	248	17	the	the	DET
fumecheng-12816	248	18	energy	energy	NOUN
fumecheng-12816	248	19	balance	balance	NOUN
fumecheng-12816	248	20	method	method	NOUN
fumecheng-12816	248	21	to	to	ADP
fumecheng-12816	248	22	a	a	DET
fumecheng-12816	248	23	nonlinear	nonlinear	ADJ
fumecheng-12816	248	24	oscillator	oscillator	NOUN
fumecheng-12816	248	25	arising	arise	VERB
fumecheng-12816	248	26	in	in	ADP
fumecheng-12816	248	27	the	the	DET
fumecheng-12816	248	28	microelectromechanical	microelectromechanical	ADJ
fumecheng-12816	248	29	system	system	NOUN
fumecheng-12816	248	30	(	(	PUNCT
fumecheng-12816	248	31	mems	mems	PROPN
fumecheng-12816	248	32	)	)	PUNCT
fumecheng-12816	248	33	,	,	PUNCT
fumecheng-12816	248	34	current	current	ADJ
fumecheng-12816	248	35	applied	applied	ADJ
fumecheng-12816	248	36	physics	physic	NOUN
fumecheng-12816	248	37	,	,	PUNCT
fumecheng-12816	248	38	11(3	11(3	NUM
fumecheng-12816	248	39	)	)	PUNCT
fumecheng-12816	248	40	,	,	PUNCT
fumecheng-12816	248	41	pp	pp	ADP
fumecheng-12816	248	42	.	.	PUNCT
fumecheng-12816	249	1	482	482	NUM
fumecheng-12816	249	2	-	-	SYM
fumecheng-12816	249	3	485	485	NUM
fumecheng-12816	249	4	23	23	NUM
fumecheng-12816	249	5	.	.	PUNCT
fumecheng-12816	250	1	he	he	PRON
fumecheng-12816	250	2	,	,	PUNCT
fumecheng-12816	250	3	j.h	j.h	PROPN
fumecheng-12816	250	4	.	.	PROPN
fumecheng-12816	250	5	,	,	PUNCT
fumecheng-12816	250	6	2019	2019	NUM
fumecheng-12816	250	7	,	,	PUNCT
fumecheng-12816	250	8	the	the	DET
fumecheng-12816	250	9	simplest	simple	ADJ
fumecheng-12816	250	10	approach	approach	NOUN
fumecheng-12816	250	11	to	to	ADP
fumecheng-12816	250	12	nonlinear	nonlinear	ADJ
fumecheng-12816	250	13	oscillators	oscillator	NOUN
fumecheng-12816	250	14	.	.	PUNCT
fumecheng-12816	251	1	results	result	VERB
fumecheng-12816	251	2	phys	phy	NOUN
fumecheng-12816	251	3	.	.	PUNCT
fumecheng-12816	251	4	,	,	PUNCT
fumecheng-12816	251	5	15,102546	15,102546	NUM
fumecheng-12816	251	6	.	.	PUNCT
fumecheng-12816	252	1	24	24	NUM
fumecheng-12816	252	2	.	.	PUNCT
fumecheng-12816	253	1	zhong	zhong	PROPN
fumecheng-12816	253	2	,	,	PUNCT
fumecheng-12816	253	3	x.j	x.j	PROPN
fumecheng-12816	253	4	.	.	PROPN
fumecheng-12816	253	5	,	,	PUNCT
fumecheng-12816	253	6	li	li	PROPN
fumecheng-12816	253	7	,	,	PUNCT
fumecheng-12816	253	8	w.l	w.l	PROPN
fumecheng-12816	253	9	.	.	PROPN
fumecheng-12816	253	10	,	,	PUNCT
fumecheng-12816	253	11	gao	gao	PROPN
fumecheng-12816	253	12	,	,	PUNCT
fumecheng-12816	253	13	x.	x.	PROPN
fumecheng-12816	253	14	,	,	PUNCT
fumecheng-12816	253	15	et	et	PROPN
fumecheng-12816	253	16	al	al	PROPN
fumecheng-12816	253	17	.	.	PROPN
fumecheng-12816	253	18	,	,	PUNCT
fumecheng-12816	253	19	2024	2024	NUM
fumecheng-12816	253	20	,	,	PUNCT
fumecheng-12816	253	21	preparation	preparation	NOUN
fumecheng-12816	253	22	and	and	CCONJ
fumecheng-12816	253	23	output	output	NOUN
fumecheng-12816	253	24	performance	performance	NOUN
fumecheng-12816	253	25	of	of	ADP
fumecheng-12816	253	26	triboelectric	triboelectric	ADJ
fumecheng-12816	253	27	nanogenerator	nanogenerator	NOUN
fumecheng-12816	253	28	based	base	VERB
fumecheng-12816	253	29	on	on	ADP
fumecheng-12816	253	30	electrospun	electrospun	PROPN
fumecheng-12816	253	31	pvdf	pvdf	PROPN
fumecheng-12816	253	32	/	/	SYM
fumecheng-12816	253	33	go	go	VERB
fumecheng-12816	253	34	composite	composite	ADJ
fumecheng-12816	253	35	nanofibers	nanofiber	NOUN
fumecheng-12816	253	36	,	,	PUNCT
fumecheng-12816	253	37	journal	journal	NOUN
fumecheng-12816	253	38	of	of	ADP
fumecheng-12816	253	39	donghua	donghua	PROPN
fumecheng-12816	253	40	university	university	PROPN
fumecheng-12816	253	41	(	(	PUNCT
fumecheng-12816	253	42	natural	natural	ADJ
fumecheng-12816	253	43	science	science	NOUN
fumecheng-12816	253	44	)	)	PUNCT
fumecheng-12816	253	45	,	,	PUNCT
fumecheng-12816	253	46	50(3	50(3	NUM
fumecheng-12816	253	47	)	)	PUNCT
fumecheng-12816	253	48	,	,	PUNCT
fumecheng-12816	253	49	pp	pp	PROPN
fumecheng-12816	253	50	.	.	PUNCT
fumecheng-12816	254	1	15	15	NUM
fumecheng-12816	254	2	-	-	SYM
fumecheng-12816	254	3	22	22	NUM
fumecheng-12816	254	4	.	.	PUNCT
fumecheng-12816	255	1	25	25	NUM
fumecheng-12816	255	2	.	.	X
fumecheng-12816	255	3	skrzypacz	skrzypacz	NOUN
fumecheng-12816	255	4	,	,	PUNCT
fumecheng-12816	255	5	p.	p.	NOUN
fumecheng-12816	255	6	,	,	PUNCT
fumecheng-12816	255	7	kadyrov	kadyrov	PROPN
fumecheng-12816	255	8	,	,	PUNCT
fumecheng-12816	255	9	s.	s.	PROPN
fumecheng-12816	255	10	,	,	PUNCT
fumecheng-12816	255	11	nurakhmetov	nurakhmetov	ADJ
fumecheng-12816	255	12	,	,	PUNCT
fumecheng-12816	255	13	d.	d.	PROPN
fumecheng-12816	255	14	,	,	PUNCT
fumecheng-12816	255	15	et	et	PROPN
fumecheng-12816	255	16	al	al	PROPN
fumecheng-12816	255	17	.	.	PROPN
fumecheng-12816	255	18	,	,	PUNCT
fumecheng-12816	255	19	2019	2019	NUM
fumecheng-12816	255	20	,	,	PUNCT
fumecheng-12816	255	21	analysis	analysis	NOUN
fumecheng-12816	255	22	of	of	ADP
fumecheng-12816	255	23	dynamic	dynamic	ADJ
fumecheng-12816	255	24	pull	pull	NOUN
fumecheng-12816	255	25	-	-	PUNCT
fumecheng-12816	255	26	in	in	ADP
fumecheng-12816	255	27	voltage	voltage	NOUN
fumecheng-12816	255	28	of	of	ADP
fumecheng-12816	255	29	a	a	DET
fumecheng-12816	255	30	graphene	graphene	NOUN
fumecheng-12816	255	31	mems	mem	NOUN
fumecheng-12816	255	32	model	model	NOUN
fumecheng-12816	255	33	.	.	PUNCT
fumecheng-12816	256	1	nonlinear	nonlinear	ADJ
fumecheng-12816	256	2	anal	anal	ADJ
fumecheng-12816	256	3	real	real	ADJ
fumecheng-12816	256	4	world	world	NOUN
fumecheng-12816	256	5	appl	appl	NOUN
fumecheng-12816	256	6	,	,	PUNCT
fumecheng-12816	256	7	45	45	NUM
fumecheng-12816	256	8	,	,	PUNCT
fumecheng-12816	256	9	pp	pp	ADJ
fumecheng-12816	256	10	.	.	PUNCT
fumecheng-12816	257	1	581–589	581–589	NUM
fumecheng-12816	257	2	.	.	PUNCT
fumecheng-12816	258	1	26	26	NUM
fumecheng-12816	258	2	.	.	PUNCT
fumecheng-12816	259	1	he	he	PRON
fumecheng-12816	259	2	,	,	PUNCT
fumecheng-12816	259	3	c.h	c.h	PROPN
fumecheng-12816	259	4	.	.	PROPN
fumecheng-12816	259	5	,	,	PUNCT
fumecheng-12816	259	6	2023	2023	NUM
fumecheng-12816	259	7	,	,	PUNCT
fumecheng-12816	259	8	a	a	DET
fumecheng-12816	259	9	variational	variational	ADJ
fumecheng-12816	259	10	principle	principle	NOUN
fumecheng-12816	259	11	for	for	ADP
fumecheng-12816	259	12	a	a	DET
fumecheng-12816	259	13	fractal	fractal	ADJ
fumecheng-12816	259	14	nano	nano	NOUN
fumecheng-12816	259	15	/	/	SYM
fumecheng-12816	259	16	microelectromechanical	microelectromechanical	ADJ
fumecheng-12816	259	17	(	(	PUNCT
fumecheng-12816	259	18	n	n	CCONJ
fumecheng-12816	259	19	/	/	SYM
fumecheng-12816	259	20	mems	mem	NOUN
fumecheng-12816	259	21	)	)	PUNCT
fumecheng-12816	259	22	system	system	NOUN
fumecheng-12816	259	23	,	,	PUNCT
fumecheng-12816	259	24	int	int	NOUN
fumecheng-12816	259	25	.	.	PUNCT
fumecheng-12816	260	1	j.	j.	PROPN
fumecheng-12816	260	2	numer	numer	PROPN
fumecheng-12816	260	3	.	.	PROPN
fumecheng-12816	260	4	method	method	PROPN
fumecheng-12816	260	5	.	.	PUNCT
fumecheng-12816	261	1	h.	h.	PROPN
fumecheng-12816	261	2	,	,	PUNCT
fumecheng-12816	261	3	33(1	33(1	PROPN
fumecheng-12816	261	4	)	)	PUNCT
fumecheng-12816	261	5	,	,	PUNCT
fumecheng-12816	261	6	pp	pp	PROPN
fumecheng-12816	261	7	.	.	PUNCT
fumecheng-12816	262	1	351	351	NUM
fumecheng-12816	262	2	-	-	SYM
fumecheng-12816	262	3	359	359	NUM
fumecheng-12816	262	4	.	.	PUNCT
fumecheng-12816	263	1	27	27	NUM
fumecheng-12816	263	2	.	.	PUNCT
fumecheng-12816	264	1	zuo	zuo	PROPN
fumecheng-12816	264	2	,	,	PUNCT
fumecheng-12816	264	3	y.t	y.t	PROPN
fumecheng-12816	264	4	.	.	PROPN
fumecheng-12816	264	5	,	,	PUNCT
fumecheng-12816	264	6	2024	2024	NUM
fumecheng-12816	264	7	,	,	PUNCT
fumecheng-12816	264	8	variational	variational	ADJ
fumecheng-12816	264	9	principle	principle	NOUN
fumecheng-12816	264	10	for	for	ADP
fumecheng-12816	264	11	a	a	DET
fumecheng-12816	264	12	fractal	fractal	ADJ
fumecheng-12816	264	13	lubrication	lubrication	NOUN
fumecheng-12816	264	14	problem	problem	NOUN
fumecheng-12816	264	15	,	,	PUNCT
fumecheng-12816	264	16	fractals	fractal	NOUN
fumecheng-12816	264	17	,	,	PUNCT
fumecheng-12816	264	18	doi	doi	NOUN
fumecheng-12816	264	19	:	:	PUNCT
fumecheng-12816	264	20	10.1142/	10.1142/	NUM
fumecheng-12816	264	21	s0218348x24500804	s0218348x24500804	NOUN
fumecheng-12816	264	22	.	.	PUNCT
fumecheng-12816	265	1	28	28	NUM
fumecheng-12816	265	2	.	.	PUNCT
fumecheng-12816	266	1	wang	wang	PROPN
fumecheng-12816	266	2	,	,	PUNCT
fumecheng-12816	266	3	k.l	k.l	PROPN
fumecheng-12816	266	4	.	.	PROPN
fumecheng-12816	266	5	,	,	PUNCT
fumecheng-12816	266	6	he	he	PRON
fumecheng-12816	266	7	,	,	PUNCT
fumecheng-12816	266	8	c.h	c.h	PROPN
fumecheng-12816	266	9	.	.	PROPN
fumecheng-12816	266	10	,	,	PUNCT
fumecheng-12816	266	11	2019	2019	NUM
fumecheng-12816	266	12	,	,	PUNCT
fumecheng-12816	266	13	a	a	DET
fumecheng-12816	266	14	remark	remark	NOUN
fumecheng-12816	266	15	on	on	ADP
fumecheng-12816	266	16	wang	wang	PROPN
fumecheng-12816	266	17	’s	’s	PART
fumecheng-12816	266	18	fractal	fractal	ADJ
fumecheng-12816	266	19	variational	variational	PROPN
fumecheng-12816	266	20	principle	principle	NOUN
fumecheng-12816	266	21	,	,	PUNCT
fumecheng-12816	266	22	fractals	fractal	NOUN
fumecheng-12816	266	23	,	,	PUNCT
fumecheng-12816	266	24	27(8	27(8	NUM
fumecheng-12816	266	25	)	)	PUNCT
fumecheng-12816	266	26	,	,	PUNCT
fumecheng-12816	266	27	1950134	1950134	NUM
fumecheng-12816	266	28	.	.	PUNCT
fumecheng-12816	267	1	29	29	NUM
fumecheng-12816	267	2	.	.	PUNCT
fumecheng-12816	268	1	he	he	PRON
fumecheng-12816	268	2	,	,	PUNCT
fumecheng-12816	268	3	c.h	c.h	PROPN
fumecheng-12816	268	4	.	.	PROPN
fumecheng-12816	268	5	,	,	PUNCT
fumecheng-12816	268	6	liu	liu	PROPN
fumecheng-12816	268	7	,	,	PUNCT
fumecheng-12816	268	8	c.	c.	PROPN
fumecheng-12816	268	9	,	,	PUNCT
fumecheng-12816	268	10	2023	2023	NUM
fumecheng-12816	268	11	,	,	PUNCT
fumecheng-12816	268	12	variational	variational	ADJ
fumecheng-12816	268	13	principle	principle	NOUN
fumecheng-12816	268	14	for	for	ADP
fumecheng-12816	268	15	singular	singular	ADJ
fumecheng-12816	268	16	waves	wave	NOUN
fumecheng-12816	268	17	,	,	PUNCT
fumecheng-12816	268	18	chaos	chaos	NOUN
fumecheng-12816	268	19	,	,	PUNCT
fumecheng-12816	268	20	solitons	soliton	NOUN
fumecheng-12816	268	21	&	&	CCONJ
fumecheng-12816	268	22	fractals	fractal	NOUN
fumecheng-12816	268	23	,	,	PUNCT
fumecheng-12816	268	24	172	172	NUM
fumecheng-12816	268	25	,	,	PUNCT
fumecheng-12816	268	26	113566	113566	NUM
fumecheng-12816	268	27	.	.	PUNCT
fumecheng-12816	269	1	30	30	NUM
fumecheng-12816	269	2	.	.	PUNCT
fumecheng-12816	270	1	he	he	PRON
fumecheng-12816	270	2	,	,	PUNCT
fumecheng-12816	270	3	c.h	c.h	PROPN
fumecheng-12816	270	4	.	.	PROPN
fumecheng-12816	270	5	,	,	PUNCT
fumecheng-12816	270	6	liu	liu	PROPN
fumecheng-12816	270	7	,	,	PUNCT
fumecheng-12816	270	8	c.	c.	PROPN
fumecheng-12816	270	9	,	,	PUNCT
fumecheng-12816	270	10	2022	2022	NUM
fumecheng-12816	270	11	,	,	PUNCT
fumecheng-12816	270	12	a	a	DET
fumecheng-12816	270	13	modified	modify	VERB
fumecheng-12816	270	14	frequency	frequency	NOUN
fumecheng-12816	270	15	-	-	PUNCT
fumecheng-12816	270	16	amplitude	amplitude	NOUN
fumecheng-12816	270	17	formulation	formulation	NOUN
fumecheng-12816	270	18	for	for	ADP
fumecheng-12816	270	19	fractal	fractal	ADJ
fumecheng-12816	270	20	vibration	vibration	NOUN
fumecheng-12816	270	21	systems	system	NOUN
fumecheng-12816	270	22	,	,	PUNCT
fumecheng-12816	270	23	fractals	fractal	NOUN
fumecheng-12816	270	24	,	,	PUNCT
fumecheng-12816	270	25	30(3	30(3	NUM
fumecheng-12816	270	26	):	):	PUNCT
fumecheng-12816	270	27	2250046	2250046	NUM
fumecheng-12816	270	28	.	.	PUNCT
fumecheng-12816	271	1	31	31	NUM
fumecheng-12816	271	2	.	.	X
fumecheng-12816	272	1	tian	tian	ADJ
fumecheng-12816	272	2	,	,	PUNCT
fumecheng-12816	272	3	y.	y.	NOUN
fumecheng-12816	272	4	,	,	PUNCT
fumecheng-12816	272	5	2022	2022	NUM
fumecheng-12816	272	6	,	,	PUNCT
fumecheng-12816	272	7	frequency	frequency	NOUN
fumecheng-12816	272	8	formula	formula	NOUN
fumecheng-12816	272	9	for	for	ADP
fumecheng-12816	272	10	a	a	DET
fumecheng-12816	272	11	class	class	NOUN
fumecheng-12816	272	12	of	of	ADP
fumecheng-12816	272	13	fractal	fractal	ADJ
fumecheng-12816	272	14	vibration	vibration	NOUN
fumecheng-12816	272	15	system	system	NOUN
fumecheng-12816	272	16	,	,	PUNCT
fumecheng-12816	272	17	reports	report	NOUN
fumecheng-12816	272	18	in	in	ADP
fumecheng-12816	272	19	mechanical	mechanical	ADJ
fumecheng-12816	272	20	engineering	engineering	NOUN
fumecheng-12816	272	21	,	,	PUNCT
fumecheng-12816	272	22	3(1	3(1	NUM
fumecheng-12816	272	23	)	)	PUNCT
fumecheng-12816	272	24	,	,	PUNCT
fumecheng-12816	272	25	pp	pp	ADP
fumecheng-12816	272	26	.	.	PUNCT
fumecheng-12816	273	1	55	55	NUM
fumecheng-12816	273	2	-	-	SYM
fumecheng-12816	273	3	61	61	NUM
fumecheng-12816	273	4	.	.	PUNCT
fumecheng-12816	274	1	32	32	NUM
fumecheng-12816	274	2	.	.	PUNCT
fumecheng-12816	275	1	niu	niu	PROPN
fumecheng-12816	275	2	,	,	PUNCT
fumecheng-12816	275	3	j.-y	j.-y	PROPN
fumecheng-12816	275	4	.	.	PUNCT
fumecheng-12816	275	5	,	,	PUNCT
fumecheng-12816	275	6	feng	feng	PROPN
fumecheng-12816	275	7	,	,	PUNCT
fumecheng-12816	275	8	g.-q	g.-q	PROPN
fumecheng-12816	275	9	.	.	PUNCT
fumecheng-12816	275	10	,	,	PUNCT
fumecheng-12816	275	11	gepreel	gepreel	PROPN
fumecheng-12816	275	12	,	,	PUNCT
fumecheng-12816	275	13	k.a	k.a	PROPN
fumecheng-12816	275	14	.	.	PROPN
fumecheng-12816	275	15	,	,	PUNCT
fumecheng-12816	275	16	2023	2023	NUM
fumecheng-12816	275	17	,	,	PUNCT
fumecheng-12816	275	18	a	a	DET
fumecheng-12816	275	19	simple	simple	ADJ
fumecheng-12816	275	20	frequency	frequency	NOUN
fumecheng-12816	275	21	formulation	formulation	NOUN
fumecheng-12816	275	22	for	for	ADP
fumecheng-12816	275	23	fractal	fractal	ADJ
fumecheng-12816	275	24	–	–	PUNCT
fumecheng-12816	275	25	fractional	fractional	ADJ
fumecheng-12816	275	26	non	non	ADJ
fumecheng-12816	275	27	-	-	ADJ
fumecheng-12816	275	28	linear	linear	ADJ
fumecheng-12816	275	29	oscillators	oscillator	NOUN
fumecheng-12816	275	30	:	:	PUNCT
fumecheng-12816	275	31	a	a	DET
fumecheng-12816	275	32	promising	promising	ADJ
fumecheng-12816	275	33	tool	tool	NOUN
fumecheng-12816	275	34	and	and	CCONJ
fumecheng-12816	275	35	its	its	PRON
fumecheng-12816	275	36	future	future	ADJ
fumecheng-12816	275	37	challenge	challenge	NOUN
fumecheng-12816	275	38	.	.	PUNCT
fumecheng-12816	276	1	front	front	NOUN
fumecheng-12816	276	2	.	.	PUNCT
fumecheng-12816	277	1	phys	phy	NOUN
fumecheng-12816	277	2	.	.	PUNCT
fumecheng-12816	278	1	11	11	NUM
fumecheng-12816	278	2	,	,	PUNCT
fumecheng-12816	278	3	1158121	1158121	NUM
fumecheng-12816	278	4	.	.	PUNCT
fumecheng-12816	279	1	33	33	NUM
fumecheng-12816	279	2	.	.	PUNCT
fumecheng-12816	280	1	el	el	PROPN
fumecheng-12816	280	2	-	-	PUNCT
fumecheng-12816	280	3	dib	dib	PROPN
fumecheng-12816	280	4	,	,	PUNCT
fumecheng-12816	280	5	y.o	y.o	PROPN
fumecheng-12816	280	6	.	.	PROPN
fumecheng-12816	280	7	,	,	PUNCT
fumecheng-12816	280	8	2024	2024	NUM
fumecheng-12816	280	9	,	,	PUNCT
fumecheng-12816	280	10	a	a	DET
fumecheng-12816	280	11	review	review	NOUN
fumecheng-12816	280	12	of	of	ADP
fumecheng-12816	280	13	the	the	DET
fumecheng-12816	280	14	frequency	frequency	NOUN
fumecheng-12816	280	15	-	-	PUNCT
fumecheng-12816	280	16	amplitude	amplitude	NOUN
fumecheng-12816	280	17	formula	formula	NOUN
fumecheng-12816	280	18	for	for	ADP
fumecheng-12816	280	19	nonlinear	nonlinear	ADJ
fumecheng-12816	280	20	oscillators	oscillator	NOUN
fumecheng-12816	280	21	and	and	CCONJ
fumecheng-12816	280	22	its	its	PRON
fumecheng-12816	280	23	advancements	advancement	NOUN
fumecheng-12816	280	24	.	.	PUNCT
fumecheng-12816	281	1	journal	journal	PROPN
fumecheng-12816	281	2	of	of	ADP
fumecheng-12816	281	3	low	low	ADJ
fumecheng-12816	281	4	frequency	frequency	NOUN
fumecheng-12816	281	5	noise	noise	NOUN
fumecheng-12816	281	6	,	,	PUNCT
fumecheng-12816	281	7	vibration	vibration	NOUN
fumecheng-12816	281	8	and	and	CCONJ
fumecheng-12816	281	9	active	active	ADJ
fumecheng-12816	281	10	control	control	NOUN
fumecheng-12816	281	11	,	,	PUNCT
fumecheng-12816	281	12	doi:10.1177/14613484241244992	doi:10.1177/14613484241244992	NOUN
fumecheng-12816	281	13	.	.	PUNCT
