id	sid	tid	token	lemma	pos
fumecheng-7346	1	1	facta	facta	PROPN
fumecheng-7346	1	2	universitatis	universitatis	PROPN
fumecheng-7346	1	3	series	series	NOUN
fumecheng-7346	1	4	:	:	PUNCT
fumecheng-7346	1	5	mechanical	mechanical	ADJ
fumecheng-7346	1	6	engineering	engineering	NOUN
fumecheng-7346	1	7	vol	vol	NOUN
fumecheng-7346	1	8	.	.	PROPN
fumecheng-7346	2	1	19	19	NUM
fumecheng-7346	2	2	,	,	PUNCT
fumecheng-7346	2	3	no	no	DET
fumecheng-7346	2	4	4	4	NUM
fumecheng-7346	2	5	,	,	PUNCT
fumecheng-7346	2	6	2021	2021	NUM
fumecheng-7346	2	7	,	,	PUNCT
fumecheng-7346	2	8	pp	pp	ADV
fumecheng-7346	2	9	.	.	PUNCT
fumecheng-7346	3	1	601	601	NUM
fumecheng-7346	3	2	612	612	NUM
fumecheng-7346	3	3	https://doi.org/10.22190/fume210112025a	https://doi.org/10.22190/fume210112025a	NOUN
fumecheng-7346	3	4	©	©	PROPN
fumecheng-7346	3	5	2021	2021	NUM
fumecheng-7346	3	6	by	by	ADP
fumecheng-7346	3	7	university	university	PROPN
fumecheng-7346	3	8	of	of	ADP
fumecheng-7346	3	9	niš	niš	PROPN
fumecheng-7346	3	10	,	,	PUNCT
fumecheng-7346	3	11	serbia	serbia	PROPN
fumecheng-7346	3	12	|	|	ADV
fumecheng-7346	3	13	creative	creative	ADJ
fumecheng-7346	3	14	commons	common	NOUN
fumecheng-7346	3	15	license	license	NOUN
fumecheng-7346	3	16	:	:	PUNCT
fumecheng-7346	3	17	cc	cc	VERB
fumecheng-7346	3	18	by	by	ADP
fumecheng-7346	3	19	-	-	PUNCT
fumecheng-7346	3	20	nc	nc	VERB
fumecheng-7346	3	21	-	-	PUNCT
fumecheng-7346	3	22	nd	nd	ADV
fumecheng-7346	3	23	original	original	ADJ
fumecheng-7346	3	24	scientific	scientific	ADJ
fumecheng-7346	3	25	paper	paper	VERB
fumecheng-7346	3	26	li	li	NOUN
fumecheng-7346	3	27	-	-	PROPN
fumecheng-7346	3	28	he	he	PRON
fumecheng-7346	3	29	’s	’	VERB
fumecheng-7346	3	30	modified	modify	VERB
fumecheng-7346	3	31	homotopy	homotopy	NOUN
fumecheng-7346	3	32	perturbation	perturbation	NOUN
fumecheng-7346	3	33	method	method	NOUN
fumecheng-7346	3	34	for	for	ADP
fumecheng-7346	3	35	doubly	doubly	ADV
fumecheng-7346	3	36	-	-	PUNCT
fumecheng-7346	3	37	clamped	clamp	VERB
fumecheng-7346	3	38	electrically	electrically	ADV
fumecheng-7346	3	39	actuated	actuate	VERB
fumecheng-7346	3	40	microbeams	microbeam	NOUN
fumecheng-7346	3	41	-	-	PUNCT
fumecheng-7346	3	42	based	base	VERB
fumecheng-7346	3	43	microelectromechanical	microelectromechanical	ADJ
fumecheng-7346	3	44	system	system	NOUN
fumecheng-7346	3	45	naveed	naveed	PROPN
fumecheng-7346	3	46	anjum1,2,3	anjum1,2,3	PROPN
fumecheng-7346	3	47	,	,	PUNCT
fumecheng-7346	3	48	ji	ji	PROPN
fumecheng-7346	3	49	-	-	PROPN
fumecheng-7346	3	50	huan	huan	PROPN
fumecheng-7346	3	51	he1,4,5	he1,4,5	NOUN
fumecheng-7346	3	52	,	,	PUNCT
fumecheng-7346	3	53	qura	qura	PROPN
fumecheng-7346	3	54	tul	tul	PROPN
fumecheng-7346	3	55	ain1,2	ain1,2	PROPN
fumecheng-7346	3	56	,	,	PUNCT
fumecheng-7346	3	57	dan	dan	PROPN
fumecheng-7346	3	58	tian5	tian5	PROPN
fumecheng-7346	3	59	1national	1national	NUM
fumecheng-7346	3	60	engineering	engineering	NOUN
fumecheng-7346	3	61	laboratory	laboratory	NOUN
fumecheng-7346	3	62	for	for	ADP
fumecheng-7346	3	63	modern	modern	ADJ
fumecheng-7346	3	64	silk	silk	NOUN
fumecheng-7346	3	65	,	,	PUNCT
fumecheng-7346	3	66	college	college	NOUN
fumecheng-7346	3	67	of	of	ADP
fumecheng-7346	3	68	textile	textile	NOUN
fumecheng-7346	3	69	and	and	CCONJ
fumecheng-7346	3	70	engineering	engineering	NOUN
fumecheng-7346	3	71	,	,	PUNCT
fumecheng-7346	3	72	soochow	soochow	PROPN
fumecheng-7346	3	73	university	university	PROPN
fumecheng-7346	3	74	,	,	PUNCT
fumecheng-7346	3	75	suzhou	suzhou	PROPN
fumecheng-7346	3	76	,	,	PUNCT
fumecheng-7346	3	77	china	china	PROPN
fumecheng-7346	3	78	2school	2school	NUM
fumecheng-7346	3	79	of	of	ADP
fumecheng-7346	3	80	mathematical	mathematical	ADJ
fumecheng-7346	3	81	sciences	science	NOUN
fumecheng-7346	3	82	,	,	PUNCT
fumecheng-7346	3	83	soochow	soochow	PROPN
fumecheng-7346	3	84	university	university	PROPN
fumecheng-7346	3	85	,	,	PUNCT
fumecheng-7346	3	86	suzhou	suzhou	PROPN
fumecheng-7346	3	87	,	,	PUNCT
fumecheng-7346	3	88	china	china	PROPN
fumecheng-7346	3	89	3department	3department	NUM
fumecheng-7346	3	90	of	of	ADP
fumecheng-7346	3	91	mathematics	mathematic	NOUN
fumecheng-7346	3	92	,	,	PUNCT
fumecheng-7346	3	93	government	government	NOUN
fumecheng-7346	3	94	college	college	PROPN
fumecheng-7346	3	95	university	university	PROPN
fumecheng-7346	3	96	,	,	PUNCT
fumecheng-7346	3	97	faisalabad	faisalabad	PROPN
fumecheng-7346	3	98	,	,	PUNCT
fumecheng-7346	3	99	pakistan	pakistan	PROPN
fumecheng-7346	3	100	4school	4school	NUM
fumecheng-7346	3	101	of	of	ADP
fumecheng-7346	3	102	mathematics	mathematic	NOUN
fumecheng-7346	3	103	and	and	CCONJ
fumecheng-7346	3	104	information	information	NOUN
fumecheng-7346	3	105	science	science	NOUN
fumecheng-7346	3	106	,	,	PUNCT
fumecheng-7346	3	107	henan	henan	PROPN
fumecheng-7346	3	108	polytechnic	polytechnic	PROPN
fumecheng-7346	3	109	university	university	PROPN
fumecheng-7346	3	110	,	,	PUNCT
fumecheng-7346	3	111	jiaozuo	jiaozuo	PROPN
fumecheng-7346	3	112	,	,	PUNCT
fumecheng-7346	3	113	china	china	PROPN
fumecheng-7346	3	114	5school	5school	NUM
fumecheng-7346	3	115	of	of	ADP
fumecheng-7346	3	116	science	science	NOUN
fumecheng-7346	3	117	,	,	PUNCT
fumecheng-7346	3	118	xi'an	xi'an	PROPN
fumecheng-7346	3	119	university	university	PROPN
fumecheng-7346	3	120	of	of	ADP
fumecheng-7346	3	121	architecture	architecture	NOUN
fumecheng-7346	3	122	and	and	CCONJ
fumecheng-7346	3	123	technology	technology	NOUN
fumecheng-7346	3	124	,	,	PUNCT
fumecheng-7346	3	125	xi’an	xi’an	PROPN
fumecheng-7346	3	126	,	,	PUNCT
fumecheng-7346	3	127	china	china	PROPN
fumecheng-7346	3	128	abstract	abstract	PROPN
fumecheng-7346	3	129	.	.	PUNCT
fumecheng-7346	4	1	this	this	DET
fumecheng-7346	4	2	paper	paper	NOUN
fumecheng-7346	4	3	highlights	highlight	VERB
fumecheng-7346	4	4	li	li	PROPN
fumecheng-7346	4	5	-	-	PROPN
fumecheng-7346	4	6	he	he	PRON
fumecheng-7346	4	7	’s	’	VERB
fumecheng-7346	4	8	approach	approach	NOUN
fumecheng-7346	4	9	in	in	ADP
fumecheng-7346	4	10	which	which	PRON
fumecheng-7346	4	11	the	the	DET
fumecheng-7346	4	12	enhanced	enhanced	ADJ
fumecheng-7346	4	13	perturbation	perturbation	NOUN
fumecheng-7346	4	14	method	method	NOUN
fumecheng-7346	4	15	is	be	AUX
fumecheng-7346	4	16	linked	link	VERB
fumecheng-7346	4	17	with	with	ADP
fumecheng-7346	4	18	the	the	DET
fumecheng-7346	4	19	parameter	parameter	NOUN
fumecheng-7346	4	20	expansion	expansion	NOUN
fumecheng-7346	4	21	technology	technology	NOUN
fumecheng-7346	4	22	in	in	ADP
fumecheng-7346	4	23	order	order	NOUN
fumecheng-7346	4	24	to	to	PART
fumecheng-7346	4	25	obtain	obtain	VERB
fumecheng-7346	4	26	frequency	frequency	NOUN
fumecheng-7346	4	27	amplitude	amplitude	NOUN
fumecheng-7346	4	28	formulation	formulation	NOUN
fumecheng-7346	4	29	of	of	ADP
fumecheng-7346	4	30	electrically	electrically	ADV
fumecheng-7346	4	31	actuated	actuate	VERB
fumecheng-7346	4	32	microbeams	microbeam	NOUN
fumecheng-7346	4	33	-	-	PUNCT
fumecheng-7346	4	34	based	base	VERB
fumecheng-7346	4	35	microelectromechanical	microelectromechanical	ADJ
fumecheng-7346	4	36	system	system	NOUN
fumecheng-7346	4	37	(	(	PUNCT
fumecheng-7346	4	38	mems	mems	PROPN
fumecheng-7346	4	39	)	)	PUNCT
fumecheng-7346	4	40	.	.	PUNCT
fumecheng-7346	5	1	the	the	DET
fumecheng-7346	5	2	governing	govern	VERB
fumecheng-7346	5	3	equation	equation	NOUN
fumecheng-7346	5	4	is	be	AUX
fumecheng-7346	5	5	a	a	DET
fumecheng-7346	5	6	second	second	ADJ
fumecheng-7346	5	7	-	-	PUNCT
fumecheng-7346	5	8	order	order	NOUN
fumecheng-7346	5	9	nonlinear	nonlinear	ADJ
fumecheng-7346	5	10	ordinary	ordinary	ADJ
fumecheng-7346	5	11	differential	differential	ADJ
fumecheng-7346	5	12	equation	equation	NOUN
fumecheng-7346	5	13	.	.	PUNCT
fumecheng-7346	6	1	the	the	DET
fumecheng-7346	6	2	obtained	obtain	VERB
fumecheng-7346	6	3	results	result	NOUN
fumecheng-7346	6	4	are	be	AUX
fumecheng-7346	6	5	compared	compare	VERB
fumecheng-7346	6	6	with	with	ADP
fumecheng-7346	6	7	the	the	DET
fumecheng-7346	6	8	solution	solution	NOUN
fumecheng-7346	6	9	achieved	achieve	VERB
fumecheng-7346	6	10	numerically	numerically	ADV
fumecheng-7346	6	11	by	by	ADP
fumecheng-7346	6	12	the	the	DET
fumecheng-7346	6	13	runge	runge	NOUN
fumecheng-7346	6	14	-	-	PUNCT
fumecheng-7346	6	15	kutta	kutta	NOUN
fumecheng-7346	6	16	(	(	PUNCT
fumecheng-7346	6	17	rk	rk	NOUN
fumecheng-7346	6	18	)	)	PUNCT
fumecheng-7346	6	19	method	method	NOUN
fumecheng-7346	6	20	that	that	PRON
fumecheng-7346	6	21	shows	show	VERB
fumecheng-7346	6	22	the	the	DET
fumecheng-7346	6	23	effectiveness	effectiveness	NOUN
fumecheng-7346	6	24	of	of	ADP
fumecheng-7346	6	25	this	this	DET
fumecheng-7346	6	26	variation	variation	NOUN
fumecheng-7346	6	27	in	in	ADP
fumecheng-7346	6	28	the	the	DET
fumecheng-7346	6	29	homotopy	homotopy	NOUN
fumecheng-7346	6	30	perturbation	perturbation	NOUN
fumecheng-7346	6	31	method	method	NOUN
fumecheng-7346	6	32	(	(	PUNCT
fumecheng-7346	6	33	hpm	hpm	NOUN
fumecheng-7346	6	34	)	)	PUNCT
fumecheng-7346	6	35	.	.	PUNCT
fumecheng-7346	7	1	key	key	ADJ
fumecheng-7346	7	2	words	word	NOUN
fumecheng-7346	7	3	:	:	PUNCT
fumecheng-7346	7	4	microelectromechanical	microelectromechanical	ADJ
fumecheng-7346	7	5	systems	system	NOUN
fumecheng-7346	7	6	,	,	PUNCT
fumecheng-7346	7	7	enhanced	enhance	VERB
fumecheng-7346	7	8	perturbation	perturbation	NOUN
fumecheng-7346	7	9	method	method	NOUN
fumecheng-7346	7	10	,	,	PUNCT
fumecheng-7346	7	11	parameter	parameter	NOUN
fumecheng-7346	7	12	expansion	expansion	NOUN
fumecheng-7346	7	13	method	method	NOUN
fumecheng-7346	7	14	,	,	PUNCT
fumecheng-7346	7	15	nonlinear	nonlinear	ADJ
fumecheng-7346	7	16	oscillator	oscillator	NOUN
fumecheng-7346	7	17	,	,	PUNCT
fumecheng-7346	7	18	amplitude	amplitude	NOUN
fumecheng-7346	7	19	-	-	PUNCT
fumecheng-7346	7	20	frequency	frequency	NOUN
fumecheng-7346	7	21	relationship	relationship	NOUN
fumecheng-7346	7	22	1	1	NUM
fumecheng-7346	7	23	.	.	PUNCT
fumecheng-7346	7	24	introduction	introduction	NOUN
fumecheng-7346	7	25	the	the	DET
fumecheng-7346	7	26	last	last	ADJ
fumecheng-7346	7	27	two	two	NUM
fumecheng-7346	7	28	decades	decade	NOUN
fumecheng-7346	7	29	have	have	AUX
fumecheng-7346	7	30	witnessed	witness	VERB
fumecheng-7346	7	31	rapid	rapid	ADJ
fumecheng-7346	7	32	advancement	advancement	NOUN
fumecheng-7346	7	33	in	in	ADP
fumecheng-7346	7	34	nonlinear	nonlinear	ADJ
fumecheng-7346	7	35	sciences	science	NOUN
fumecheng-7346	7	36	arising	arise	VERB
fumecheng-7346	7	37	in	in	ADP
fumecheng-7346	7	38	oscillation	oscillation	NOUN
fumecheng-7346	7	39	theory	theory	NOUN
fumecheng-7346	7	40	and	and	CCONJ
fumecheng-7346	7	41	other	other	ADJ
fumecheng-7346	7	42	fields	field	NOUN
fumecheng-7346	7	43	of	of	ADP
fumecheng-7346	7	44	physics	physics	NOUN
fumecheng-7346	8	1	[	[	X
fumecheng-7346	8	2	1	1	NUM
fumecheng-7346	8	3	-	-	SYM
fumecheng-7346	8	4	5	5	NUM
fumecheng-7346	8	5	]	]	PUNCT
fumecheng-7346	8	6	.	.	PUNCT
fumecheng-7346	9	1	several	several	ADJ
fumecheng-7346	9	2	methods	method	NOUN
fumecheng-7346	9	3	were	be	AUX
fumecheng-7346	9	4	developed	develop	VERB
fumecheng-7346	9	5	to	to	PART
fumecheng-7346	9	6	find	find	VERB
fumecheng-7346	9	7	periodic	periodic	ADJ
fumecheng-7346	9	8	solutions	solution	NOUN
fumecheng-7346	9	9	of	of	ADP
fumecheng-7346	9	10	nonlinear	nonlinear	ADJ
fumecheng-7346	9	11	oscillatory	oscillatory	ADJ
fumecheng-7346	9	12	systems	system	NOUN
fumecheng-7346	9	13	,	,	PUNCT
fumecheng-7346	9	14	for	for	ADP
fumecheng-7346	9	15	example	example	NOUN
fumecheng-7346	9	16	,	,	PUNCT
fumecheng-7346	9	17	variation	variation	NOUN
fumecheng-7346	9	18	iteration	iteration	NOUN
fumecheng-7346	9	19	method	method	NOUN
fumecheng-7346	9	20	(	(	PUNCT
fumecheng-7346	9	21	vim	vim	NOUN
fumecheng-7346	9	22	)	)	PUNCT
fumecheng-7346	10	1	[	[	X
fumecheng-7346	10	2	6	6	NUM
fumecheng-7346	10	3	-	-	SYM
fumecheng-7346	10	4	7	7	NUM
fumecheng-7346	10	5	]	]	PUNCT
fumecheng-7346	10	6	,	,	PUNCT
fumecheng-7346	10	7	homotopy	homotopy	VERB
fumecheng-7346	10	8	perturbation	perturbation	NOUN
fumecheng-7346	10	9	method	method	NOUN
fumecheng-7346	10	10	[	[	X
fumecheng-7346	10	11	8	8	NUM
fumecheng-7346	10	12	-	-	SYM
fumecheng-7346	10	13	9	9	NUM
fumecheng-7346	10	14	]	]	PUNCT
fumecheng-7346	10	15	,	,	PUNCT
fumecheng-7346	10	16	hamiltonian	hamiltonian	ADJ
fumecheng-7346	10	17	approach	approach	NOUN
fumecheng-7346	10	18	(	(	PUNCT
fumecheng-7346	10	19	ha	ha	INTJ
fumecheng-7346	10	20	)	)	PUNCT
fumecheng-7346	11	1	[	[	X
fumecheng-7346	11	2	10	10	NUM
fumecheng-7346	11	3	]	]	PUNCT
fumecheng-7346	11	4	,	,	PUNCT
fumecheng-7346	11	5	energy	energy	NOUN
fumecheng-7346	11	6	balance	balance	NOUN
fumecheng-7346	11	7	method	method	NOUN
fumecheng-7346	11	8	(	(	PUNCT
fumecheng-7346	11	9	ebm	ebm	NOUN
fumecheng-7346	11	10	)	)	PUNCT
fumecheng-7346	12	1	[	[	X
fumecheng-7346	12	2	11	11	NUM
fumecheng-7346	12	3	]	]	PUNCT
fumecheng-7346	12	4	,	,	PUNCT
fumecheng-7346	12	5	spreading	spread	VERB
fumecheng-7346	12	6	residue	residue	NOUN
fumecheng-7346	12	7	harmonic	harmonic	ADJ
fumecheng-7346	12	8	balance	balance	NOUN
fumecheng-7346	12	9	method	method	NOUN
fumecheng-7346	12	10	received	receive	VERB
fumecheng-7346	12	11	january	january	PROPN
fumecheng-7346	12	12	12	12	NUM
fumecheng-7346	12	13	,	,	PUNCT
fumecheng-7346	12	14	2021	2021	NUM
fumecheng-7346	12	15	/	/	SYM
fumecheng-7346	12	16	accepted	accept	VERB
fumecheng-7346	12	17	march	march	PROPN
fumecheng-7346	12	18	01	01	NUM
fumecheng-7346	12	19	,	,	PUNCT
fumecheng-7346	12	20	2021	2021	NUM
fumecheng-7346	12	21	corresponding	correspond	VERB
fumecheng-7346	12	22	author	author	NOUN
fumecheng-7346	12	23	:	:	PUNCT
fumecheng-7346	12	24	ji	ji	PROPN
fumecheng-7346	12	25	-	-	PROPN
fumecheng-7346	12	26	huan	huan	PROPN
fumecheng-7346	12	27	he	he	PROPN
fumecheng-7346	12	28	national	national	PROPN
fumecheng-7346	12	29	engineering	engineering	PROPN
fumecheng-7346	12	30	laboratory	laboratory	NOUN
fumecheng-7346	12	31	for	for	ADP
fumecheng-7346	12	32	modern	modern	ADJ
fumecheng-7346	12	33	silk	silk	NOUN
fumecheng-7346	12	34	,	,	PUNCT
fumecheng-7346	12	35	college	college	NOUN
fumecheng-7346	12	36	of	of	ADP
fumecheng-7346	12	37	textile	textile	NOUN
fumecheng-7346	12	38	and	and	CCONJ
fumecheng-7346	12	39	engineering	engineering	NOUN
fumecheng-7346	12	40	,	,	PUNCT
fumecheng-7346	12	41	soochow	soochow	PROPN
fumecheng-7346	12	42	university	university	NOUN
fumecheng-7346	12	43	,	,	PUNCT
fumecheng-7346	12	44	199	199	NUM
fumecheng-7346	12	45	ren	ren	PROPN
fumecheng-7346	12	46	-	-	PUNCT
fumecheng-7346	12	47	ai	ai	PROPN
fumecheng-7346	12	48	road	road	NOUN
fumecheng-7346	12	49	,	,	PUNCT
fumecheng-7346	12	50	suzhou	suzhou	PROPN
fumecheng-7346	12	51	215123	215123	NUM
fumecheng-7346	12	52	,	,	PUNCT
fumecheng-7346	12	53	china	china	PROPN
fumecheng-7346	12	54	.	.	PUNCT
fumecheng-7346	13	1	e	e	X
fumecheng-7346	13	2	-	-	NOUN
fumecheng-7346	13	3	mail	mail	NOUN
fumecheng-7346	13	4	:	:	PUNCT
fumecheng-7346	13	5	hejihuan@suda.edu.cn	hejihuan@suda.edu.cn	NOUN
fumecheng-7346	13	6	602	602	NUM
fumecheng-7346	13	7	n.	n.	PROPN
fumecheng-7346	13	8	anjum	anjum	PROPN
fumecheng-7346	13	9	,	,	PUNCT
fumecheng-7346	13	10	j.-h	j.-h	PROPN
fumecheng-7346	13	11	.	.	PUNCT
fumecheng-7346	14	1	he	he	PRON
fumecheng-7346	14	2	,	,	PUNCT
fumecheng-7346	14	3	q.	q.	PROPN
fumecheng-7346	14	4	t.	t.	PROPN
fumecheng-7346	14	5	ain	ain	PROPN
fumecheng-7346	14	6	,	,	PUNCT
fumecheng-7346	14	7	d.	d.	PROPN
fumecheng-7346	14	8	tian	tian	PROPN
fumecheng-7346	14	9	(	(	PUNCT
fumecheng-7346	14	10	srhbm	srhbm	PROPN
fumecheng-7346	14	11	)	)	PUNCT
fumecheng-7346	15	1	[	[	X
fumecheng-7346	15	2	12	12	NUM
fumecheng-7346	15	3	]	]	PUNCT
fumecheng-7346	15	4	,	,	PUNCT
fumecheng-7346	15	5	iteration	iteration	NOUN
fumecheng-7346	15	6	perturbation	perturbation	NOUN
fumecheng-7346	15	7	method	method	NOUN
fumecheng-7346	15	8	(	(	PUNCT
fumecheng-7346	15	9	ipm	ipm	NOUN
fumecheng-7346	15	10	)	)	PUNCT
fumecheng-7346	16	1	[	[	X
fumecheng-7346	16	2	13	13	NUM
fumecheng-7346	16	3	]	]	PUNCT
fumecheng-7346	16	4	,	,	PUNCT
fumecheng-7346	16	5	and	and	CCONJ
fumecheng-7346	16	6	other	other	ADJ
fumecheng-7346	16	7	methods	method	NOUN
fumecheng-7346	16	8	[	[	PUNCT
fumecheng-7346	16	9	14	14	NUM
fumecheng-7346	16	10	-	-	SYM
fumecheng-7346	16	11	15	15	NUM
fumecheng-7346	16	12	]	]	PUNCT
fumecheng-7346	16	13	.	.	PUNCT
fumecheng-7346	17	1	hpm	hpm	PROPN
fumecheng-7346	17	2	was	be	AUX
fumecheng-7346	17	3	proposed	propose	VERB
fumecheng-7346	17	4	in	in	ADP
fumecheng-7346	17	5	the	the	DET
fumecheng-7346	17	6	later	later	ADJ
fumecheng-7346	17	7	1990s	1990	NOUN
fumecheng-7346	17	8	[	[	X
fumecheng-7346	17	9	16	16	NUM
fumecheng-7346	17	10	-	-	SYM
fumecheng-7346	17	11	17	17	NUM
fumecheng-7346	17	12	]	]	PUNCT
fumecheng-7346	17	13	and	and	CCONJ
fumecheng-7346	17	14	now	now	ADV
fumecheng-7346	17	15	has	have	AUX
fumecheng-7346	17	16	been	be	AUX
fumecheng-7346	17	17	established	establish	VERB
fumecheng-7346	17	18	into	into	ADP
fumecheng-7346	17	19	a	a	DET
fumecheng-7346	17	20	mature	mature	ADJ
fumecheng-7346	17	21	phase	phase	NOUN
fumecheng-7346	17	22	for	for	ADP
fumecheng-7346	17	23	ordinary	ordinary	ADJ
fumecheng-7346	17	24	differential	differential	ADJ
fumecheng-7346	17	25	equations	equation	NOUN
fumecheng-7346	18	1	[	[	X
fumecheng-7346	18	2	18	18	NUM
fumecheng-7346	18	3	-	-	SYM
fumecheng-7346	18	4	19	19	NUM
fumecheng-7346	18	5	]	]	PUNCT
fumecheng-7346	18	6	,	,	PUNCT
fumecheng-7346	18	7	partial	partial	ADJ
fumecheng-7346	18	8	differential	differential	ADJ
fumecheng-7346	18	9	equations	equation	NOUN
fumecheng-7346	18	10	[	[	X
fumecheng-7346	18	11	20	20	NUM
fumecheng-7346	18	12	-	-	SYM
fumecheng-7346	18	13	21	21	NUM
fumecheng-7346	18	14	]	]	PUNCT
fumecheng-7346	18	15	,	,	PUNCT
fumecheng-7346	18	16	and	and	CCONJ
fumecheng-7346	18	17	differential	differential	ADJ
fumecheng-7346	18	18	equations	equation	NOUN
fumecheng-7346	18	19	of	of	ADP
fumecheng-7346	18	20	fractional	fractional	ADJ
fumecheng-7346	18	21	order	order	NOUN
fumecheng-7346	19	1	[	[	X
fumecheng-7346	19	2	22	22	NUM
fumecheng-7346	19	3	-	-	SYM
fumecheng-7346	19	4	24	24	NUM
fumecheng-7346	19	5	]	]	PUNCT
fumecheng-7346	19	6	.	.	PUNCT
fumecheng-7346	20	1	it	it	PRON
fumecheng-7346	20	2	is	be	AUX
fumecheng-7346	20	3	widely	widely	ADV
fumecheng-7346	20	4	applied	apply	VERB
fumecheng-7346	20	5	for	for	ADP
fumecheng-7346	20	6	nonlinear	nonlinear	ADJ
fumecheng-7346	20	7	oscillation	oscillation	NOUN
fumecheng-7346	20	8	problems	problem	NOUN
fumecheng-7346	20	9	of	of	ADP
fumecheng-7346	20	10	conservative	conservative	ADJ
fumecheng-7346	20	11	oscillators	oscillator	NOUN
fumecheng-7346	20	12	[	[	X
fumecheng-7346	20	13	19,25	19,25	NUM
fumecheng-7346	20	14	]	]	PUNCT
fumecheng-7346	20	15	,	,	PUNCT
fumecheng-7346	20	16	attachment	attachment	NOUN
fumecheng-7346	20	17	oscillator	oscillator	NOUN
fumecheng-7346	21	1	[	[	X
fumecheng-7346	21	2	26	26	NUM
fumecheng-7346	21	3	]	]	PUNCT
fumecheng-7346	21	4	,	,	PUNCT
fumecheng-7346	21	5	fangzhu	fangzhu	NOUN
fumecheng-7346	21	6	oscillator	oscillator	NOUN
fumecheng-7346	22	1	[	[	X
fumecheng-7346	22	2	27	27	NUM
fumecheng-7346	22	3	]	]	PUNCT
fumecheng-7346	22	4	,	,	PUNCT
fumecheng-7346	22	5	micro	micro	PROPN
fumecheng-7346	22	6	systems	system	NOUN
fumecheng-7346	22	7	’	'	PUNCT
fumecheng-7346	22	8	oscillators	oscillator	NOUN
fumecheng-7346	23	1	[	[	X
fumecheng-7346	23	2	28	28	NUM
fumecheng-7346	23	3	-	-	SYM
fumecheng-7346	23	4	29	29	NUM
fumecheng-7346	23	5	]	]	PUNCT
fumecheng-7346	23	6	,	,	PUNCT
fumecheng-7346	23	7	and	and	CCONJ
fumecheng-7346	23	8	fractional	fractional	ADJ
fumecheng-7346	23	9	-	-	PUNCT
fumecheng-7346	23	10	order	order	NOUN
fumecheng-7346	23	11	oscillators	oscillator	NOUN
fumecheng-7346	23	12	[	[	X
fumecheng-7346	23	13	30	30	NUM
fumecheng-7346	23	14	]	]	PUNCT
fumecheng-7346	23	15	.	.	PUNCT
fumecheng-7346	24	1	generally	generally	ADV
fumecheng-7346	24	2	,	,	PUNCT
fumecheng-7346	24	3	a	a	DET
fumecheng-7346	24	4	single	single	ADJ
fumecheng-7346	24	5	iteration	iteration	NOUN
fumecheng-7346	24	6	of	of	ADP
fumecheng-7346	24	7	this	this	DET
fumecheng-7346	24	8	technique	technique	NOUN
fumecheng-7346	24	9	leads	lead	VERB
fumecheng-7346	24	10	to	to	ADP
fumecheng-7346	24	11	a	a	DET
fumecheng-7346	24	12	high	high	ADJ
fumecheng-7346	24	13	accuracy	accuracy	NOUN
fumecheng-7346	24	14	of	of	ADP
fumecheng-7346	24	15	the	the	DET
fumecheng-7346	24	16	solution	solution	NOUN
fumecheng-7346	24	17	.	.	PUNCT
fumecheng-7346	25	1	many	many	ADJ
fumecheng-7346	25	2	researchers	researcher	NOUN
fumecheng-7346	25	3	devoted	devote	VERB
fumecheng-7346	25	4	their	their	PRON
fumecheng-7346	25	5	efforts	effort	NOUN
fumecheng-7346	25	6	and	and	CCONJ
fumecheng-7346	25	7	time	time	NOUN
fumecheng-7346	25	8	to	to	PART
fumecheng-7346	25	9	scrutinize	scrutinize	VERB
fumecheng-7346	25	10	the	the	DET
fumecheng-7346	25	11	applicability	applicability	NOUN
fumecheng-7346	25	12	of	of	ADP
fumecheng-7346	25	13	hpm	hpm	NOUN
fumecheng-7346	25	14	for	for	ADP
fumecheng-7346	25	15	nonlinear	nonlinear	ADJ
fumecheng-7346	25	16	problems	problem	NOUN
fumecheng-7346	25	17	and	and	CCONJ
fumecheng-7346	25	18	used	use	VERB
fumecheng-7346	25	19	it	it	PRON
fumecheng-7346	25	20	with	with	ADP
fumecheng-7346	25	21	the	the	DET
fumecheng-7346	25	22	parameter	parameter	NOUN
fumecheng-7346	25	23	expansion	expansion	NOUN
fumecheng-7346	25	24	technology	technology	NOUN
fumecheng-7346	26	1	[	[	X
fumecheng-7346	26	2	31	31	NUM
fumecheng-7346	26	3	-	-	SYM
fumecheng-7346	26	4	32	32	NUM
fumecheng-7346	26	5	]	]	PUNCT
fumecheng-7346	26	6	,	,	PUNCT
fumecheng-7346	26	7	the	the	DET
fumecheng-7346	26	8	supporting	support	VERB
fumecheng-7346	26	9	terms	term	NOUN
fumecheng-7346	26	10	[	[	X
fumecheng-7346	26	11	33	33	NUM
fumecheng-7346	26	12	-	-	SYM
fumecheng-7346	26	13	35	35	NUM
fumecheng-7346	26	14	]	]	PUNCT
fumecheng-7346	26	15	,	,	PUNCT
fumecheng-7346	26	16	and	and	CCONJ
fumecheng-7346	26	17	the	the	DET
fumecheng-7346	26	18	laplace	laplace	NOUN
fumecheng-7346	26	19	transform	transform	NOUN
fumecheng-7346	26	20	[	[	X
fumecheng-7346	26	21	18,21	18,21	NUM
fumecheng-7346	26	22	]	]	PUNCT
fumecheng-7346	26	23	.	.	PUNCT
fumecheng-7346	27	1	recently	recently	ADV
fumecheng-7346	27	2	,	,	PUNCT
fumecheng-7346	27	3	an	an	DET
fumecheng-7346	27	4	adjustment	adjustment	NOUN
fumecheng-7346	27	5	in	in	ADP
fumecheng-7346	27	6	the	the	DET
fumecheng-7346	27	7	perturbation	perturbation	NOUN
fumecheng-7346	27	8	method	method	NOUN
fumecheng-7346	27	9	is	be	AUX
fumecheng-7346	27	10	proposed	propose	VERB
fumecheng-7346	27	11	by	by	ADP
fumecheng-7346	27	12	filobello	filobello	NOUN
fumecheng-7346	27	13	-	-	PUNCT
fumecheng-7346	27	14	nino	nino	PROPN
fumecheng-7346	27	15	[	[	X
fumecheng-7346	27	16	36	36	NUM
fumecheng-7346	27	17	]	]	PUNCT
fumecheng-7346	27	18	,	,	PUNCT
fumecheng-7346	27	19	named	name	VERB
fumecheng-7346	27	20	the	the	DET
fumecheng-7346	27	21	enhanced	enhanced	ADJ
fumecheng-7346	27	22	perturbation	perturbation	NOUN
fumecheng-7346	27	23	method	method	NOUN
fumecheng-7346	27	24	.	.	PUNCT
fumecheng-7346	28	1	this	this	DET
fumecheng-7346	28	2	method	method	NOUN
fumecheng-7346	28	3	is	be	AUX
fumecheng-7346	28	4	highly	highly	ADV
fumecheng-7346	28	5	accurate	accurate	ADJ
fumecheng-7346	28	6	and	and	CCONJ
fumecheng-7346	28	7	provides	provide	VERB
fumecheng-7346	28	8	better	well	ADJ
fumecheng-7346	28	9	results	result	NOUN
fumecheng-7346	28	10	because	because	SCONJ
fumecheng-7346	28	11	it	it	PRON
fumecheng-7346	28	12	deals	deal	VERB
fumecheng-7346	28	13	with	with	ADP
fumecheng-7346	28	14	the	the	DET
fumecheng-7346	28	15	problems	problem	NOUN
fumecheng-7346	28	16	with	with	ADP
fumecheng-7346	28	17	both	both	CCONJ
fumecheng-7346	28	18	small	small	ADJ
fumecheng-7346	28	19	and	and	CCONJ
fumecheng-7346	28	20	large	large	ADJ
fumecheng-7346	28	21	values	value	NOUN
fumecheng-7346	28	22	of	of	ADP
fumecheng-7346	28	23	the	the	DET
fumecheng-7346	28	24	perturbation	perturbation	NOUN
fumecheng-7346	28	25	parameters	parameter	NOUN
fumecheng-7346	28	26	.	.	PUNCT
fumecheng-7346	29	1	li	li	PROPN
fumecheng-7346	29	2	and	and	CCONJ
fumecheng-7346	29	3	he	he	PRON
fumecheng-7346	30	1	[	[	X
fumecheng-7346	30	2	37	37	NUM
fumecheng-7346	30	3	]	]	PUNCT
fumecheng-7346	30	4	adopted	adopt	VERB
fumecheng-7346	30	5	this	this	DET
fumecheng-7346	30	6	modification	modification	NOUN
fumecheng-7346	30	7	to	to	PART
fumecheng-7346	30	8	link	link	VERB
fumecheng-7346	30	9	the	the	DET
fumecheng-7346	30	10	enhanced	enhance	VERB
fumecheng-7346	30	11	perturbation	perturbation	NOUN
fumecheng-7346	30	12	method	method	NOUN
fumecheng-7346	30	13	with	with	ADP
fumecheng-7346	30	14	the	the	DET
fumecheng-7346	30	15	parameter	parameter	NOUN
fumecheng-7346	30	16	expansion	expansion	NOUN
fumecheng-7346	30	17	technology	technology	NOUN
fumecheng-7346	31	1	[	[	X
fumecheng-7346	31	2	19,31	19,31	NUM
fumecheng-7346	31	3	]	]	PUNCT
fumecheng-7346	31	4	,	,	PUNCT
fumecheng-7346	31	5	and	and	CCONJ
fumecheng-7346	31	6	highly	highly	ADV
fumecheng-7346	31	7	accurate	accurate	ADJ
fumecheng-7346	31	8	results	result	NOUN
fumecheng-7346	31	9	can	can	AUX
fumecheng-7346	31	10	be	be	AUX
fumecheng-7346	31	11	achieved	achieve	VERB
fumecheng-7346	31	12	for	for	ADP
fumecheng-7346	31	13	nonlinear	nonlinear	ADJ
fumecheng-7346	31	14	oscillators	oscillator	NOUN
fumecheng-7346	31	15	.	.	PUNCT
fumecheng-7346	32	1	ji	ji	PROPN
fumecheng-7346	32	2	et	et	PROPN
fumecheng-7346	32	3	.	.	PUNCT
fumecheng-7346	33	1	al	al	PROPN
fumecheng-7346	33	2	.	.	PROPN
fumecheng-7346	33	3	,	,	PUNCT
fumecheng-7346	34	1	[	[	X
fumecheng-7346	34	2	38	38	NUM
fumecheng-7346	34	3	]	]	PUNCT
fumecheng-7346	34	4	employed	employ	VERB
fumecheng-7346	34	5	hybridization	hybridization	NOUN
fumecheng-7346	34	6	of	of	ADP
fumecheng-7346	34	7	li	li	PROPN
fumecheng-7346	34	8	-	-	PROPN
fumecheng-7346	34	9	he	he	PRON
fumecheng-7346	34	10	’s	’s	PART
fumecheng-7346	34	11	technique	technique	NOUN
fumecheng-7346	34	12	with	with	ADP
fumecheng-7346	34	13	ebm	ebm	NOUN
fumecheng-7346	34	14	to	to	PART
fumecheng-7346	34	15	find	find	VERB
fumecheng-7346	34	16	an	an	DET
fumecheng-7346	34	17	approximate	approximate	ADJ
fumecheng-7346	34	18	solution	solution	NOUN
fumecheng-7346	34	19	of	of	ADP
fumecheng-7346	34	20	the	the	DET
fumecheng-7346	34	21	nonlinear	nonlinear	ADJ
fumecheng-7346	34	22	problem	problem	NOUN
fumecheng-7346	34	23	of	of	ADP
fumecheng-7346	34	24	a	a	DET
fumecheng-7346	34	25	tangent	tangent	NOUN
fumecheng-7346	34	26	packing	packing	NOUN
fumecheng-7346	34	27	system	system	NOUN
fumecheng-7346	34	28	.	.	PUNCT
fumecheng-7346	35	1	the	the	DET
fumecheng-7346	35	2	microelectromechanical	microelectromechanical	ADJ
fumecheng-7346	35	3	system	system	NOUN
fumecheng-7346	35	4	(	(	PUNCT
fumecheng-7346	35	5	mems	mem	NOUN
fumecheng-7346	35	6	)	)	PUNCT
fumecheng-7346	35	7	refers	refer	VERB
fumecheng-7346	35	8	to	to	ADP
fumecheng-7346	35	9	the	the	DET
fumecheng-7346	35	10	high	high	ADJ
fumecheng-7346	35	11	technology	technology	NOUN
fumecheng-7346	35	12	devices	device	NOUN
fumecheng-7346	35	13	of	of	ADP
fumecheng-7346	35	14	small	small	ADJ
fumecheng-7346	35	15	sizes	size	NOUN
fumecheng-7346	35	16	;	;	PUNCT
fumecheng-7346	35	17	it	it	PRON
fumecheng-7346	35	18	has	have	AUX
fumecheng-7346	35	19	become	become	VERB
fumecheng-7346	35	20	a	a	DET
fumecheng-7346	35	21	hot	hot	ADJ
fumecheng-7346	35	22	topic	topic	NOUN
fumecheng-7346	35	23	in	in	ADP
fumecheng-7346	35	24	both	both	CCONJ
fumecheng-7346	35	25	academic	academic	ADJ
fumecheng-7346	35	26	and	and	CCONJ
fumecheng-7346	35	27	industrial	industrial	ADJ
fumecheng-7346	35	28	communities	community	NOUN
fumecheng-7346	35	29	[	[	X
fumecheng-7346	35	30	3940	3940	NUM
fumecheng-7346	35	31	]	]	PUNCT
fumecheng-7346	35	32	.	.	PUNCT
fumecheng-7346	36	1	the	the	DET
fumecheng-7346	36	2	mems	mem	NOUN
fumecheng-7346	36	3	are	be	AUX
fumecheng-7346	36	4	intelligent	intelligent	ADJ
fumecheng-7346	36	5	structures	structure	NOUN
fumecheng-7346	36	6	and	and	CCONJ
fumecheng-7346	36	7	their	their	PRON
fumecheng-7346	36	8	systems	system	NOUN
fumecheng-7346	36	9	are	be	AUX
fumecheng-7346	36	10	commonly	commonly	ADV
fumecheng-7346	36	11	micron	micron	NOUN
fumecheng-7346	36	12	or	or	CCONJ
fumecheng-7346	36	13	nanometer	nanometer	NOUN
fumecheng-7346	36	14	.	.	PUNCT
fumecheng-7346	37	1	microelectronic	microelectronic	ADJ
fumecheng-7346	37	2	technology	technology	NOUN
fumecheng-7346	37	3	is	be	AUX
fumecheng-7346	37	4	the	the	DET
fumecheng-7346	37	5	origin	origin	NOUN
fumecheng-7346	37	6	of	of	ADP
fumecheng-7346	37	7	these	these	DET
fumecheng-7346	37	8	tiny	tiny	ADJ
fumecheng-7346	37	9	devices	device	NOUN
fumecheng-7346	37	10	used	use	VERB
fumecheng-7346	37	11	in	in	ADP
fumecheng-7346	37	12	vibrators	vibrator	NOUN
fumecheng-7346	37	13	,	,	PUNCT
fumecheng-7346	37	14	sensors	sensor	NOUN
fumecheng-7346	37	15	,	,	PUNCT
fumecheng-7346	37	16	switches	switch	NOUN
fumecheng-7346	37	17	,	,	PUNCT
fumecheng-7346	37	18	and	and	CCONJ
fumecheng-7346	37	19	so	so	ADV
fumecheng-7346	37	20	on	on	ADP
fumecheng-7346	37	21	[	[	PUNCT
fumecheng-7346	37	22	41	41	NUM
fumecheng-7346	37	23	-	-	SYM
fumecheng-7346	37	24	42	42	NUM
fumecheng-7346	37	25	]	]	PUNCT
fumecheng-7346	37	26	.	.	PUNCT
fumecheng-7346	38	1	spring	spring	NOUN
fumecheng-7346	38	2	-	-	PUNCT
fumecheng-7346	38	3	base	base	NOUN
fumecheng-7346	38	4	structures	structure	NOUN
fumecheng-7346	38	5	[	[	X
fumecheng-7346	38	6	43	43	NUM
fumecheng-7346	38	7	-	-	SYM
fumecheng-7346	38	8	45	45	NUM
fumecheng-7346	38	9	]	]	PUNCT
fumecheng-7346	38	10	,	,	PUNCT
fumecheng-7346	38	11	nanotubes	nanotube	NOUN
fumecheng-7346	38	12	[	[	X
fumecheng-7346	38	13	15,46	15,46	NOUN
fumecheng-7346	38	14	]	]	X
fumecheng-7346	38	15	,	,	PUNCT
fumecheng-7346	38	16	and	and	CCONJ
fumecheng-7346	38	17	microbeams	microbeam	VERB
fumecheng-7346	38	18	[	[	PUNCT
fumecheng-7346	38	19	11	11	NUM
fumecheng-7346	38	20	-	-	SYM
fumecheng-7346	38	21	12,14	12,14	NUM
fumecheng-7346	38	22	]	]	PUNCT
fumecheng-7346	38	23	can	can	AUX
fumecheng-7346	38	24	be	be	AUX
fumecheng-7346	38	25	considered	consider	VERB
fumecheng-7346	38	26	as	as	ADP
fumecheng-7346	38	27	some	some	PRON
fumecheng-7346	38	28	of	of	ADP
fumecheng-7346	38	29	the	the	DET
fumecheng-7346	38	30	potential	potential	ADJ
fumecheng-7346	38	31	and	and	CCONJ
fumecheng-7346	38	32	very	very	ADV
fumecheng-7346	38	33	applicable	applicable	ADJ
fumecheng-7346	38	34	nano	nano	NOUN
fumecheng-7346	38	35	/	/	SYM
fumecheng-7346	38	36	microstructures	microstructure	NOUN
fumecheng-7346	38	37	in	in	ADP
fumecheng-7346	38	38	various	various	ADJ
fumecheng-7346	38	39	sensing	sensing	NOUN
fumecheng-7346	38	40	and	and	CCONJ
fumecheng-7346	38	41	actuating	actuate	VERB
fumecheng-7346	38	42	devices	device	NOUN
fumecheng-7346	38	43	.	.	PUNCT
fumecheng-7346	39	1	these	these	DET
fumecheng-7346	39	2	structures	structure	NOUN
fumecheng-7346	39	3	are	be	AUX
fumecheng-7346	39	4	modeled	model	VERB
fumecheng-7346	39	5	by	by	ADP
fumecheng-7346	39	6	generally	generally	ADV
fumecheng-7346	39	7	using	use	VERB
fumecheng-7346	39	8	galerikin	galerikin	ADJ
fumecheng-7346	39	9	’s	’s	PART
fumecheng-7346	39	10	method	method	NOUN
fumecheng-7346	39	11	and	and	CCONJ
fumecheng-7346	39	12	represented	represent	VERB
fumecheng-7346	39	13	by	by	ADP
fumecheng-7346	39	14	nonlinear	nonlinear	ADJ
fumecheng-7346	39	15	mathematical	mathematical	ADJ
fumecheng-7346	39	16	models	model	NOUN
fumecheng-7346	39	17	.	.	PUNCT
fumecheng-7346	40	1	different	different	ADJ
fumecheng-7346	40	2	types	type	NOUN
fumecheng-7346	40	3	of	of	ADP
fumecheng-7346	40	4	forcing	force	VERB
fumecheng-7346	40	5	nonlinearities	nonlinearitie	NOUN
fumecheng-7346	40	6	such	such	ADJ
fumecheng-7346	40	7	as	as	ADP
fumecheng-7346	40	8	electrostatic	electrostatic	ADJ
fumecheng-7346	40	9	force	force	NOUN
fumecheng-7346	40	10	[	[	X
fumecheng-7346	40	11	11,43	11,43	NOUN
fumecheng-7346	40	12	]	]	PUNCT
fumecheng-7346	40	13	,	,	PUNCT
fumecheng-7346	40	14	electromagnetic	electromagnetic	ADJ
fumecheng-7346	40	15	force	force	NOUN
fumecheng-7346	41	1	[	[	X
fumecheng-7346	41	2	41,44	41,44	NOUN
fumecheng-7346	41	3	]	]	X
fumecheng-7346	41	4	,	,	PUNCT
fumecheng-7346	41	5	and	and	CCONJ
fumecheng-7346	41	6	van	van	PROPN
fumecheng-7346	41	7	der	der	NOUN
fumecheng-7346	41	8	waals	waal	NOUN
fumecheng-7346	41	9	force	force	VERB
fumecheng-7346	42	1	[	[	X
fumecheng-7346	42	2	12	12	NUM
fumecheng-7346	42	3	]	]	PUNCT
fumecheng-7346	42	4	make	make	VERB
fumecheng-7346	42	5	the	the	DET
fumecheng-7346	42	6	solution	solution	NOUN
fumecheng-7346	42	7	process	process	NOUN
fumecheng-7346	42	8	extremely	extremely	ADV
fumecheng-7346	42	9	difficult	difficult	ADJ
fumecheng-7346	42	10	.	.	PUNCT
fumecheng-7346	43	1	therefore	therefore	ADV
fumecheng-7346	43	2	,	,	PUNCT
fumecheng-7346	43	3	approximate	approximate	ADJ
fumecheng-7346	43	4	solutions	solution	NOUN
fumecheng-7346	43	5	of	of	ADP
fumecheng-7346	43	6	these	these	DET
fumecheng-7346	43	7	nonlinear	nonlinear	ADJ
fumecheng-7346	43	8	models	model	NOUN
fumecheng-7346	43	9	are	be	AUX
fumecheng-7346	43	10	important	important	ADJ
fumecheng-7346	43	11	for	for	ADP
fumecheng-7346	43	12	predicting	predict	VERB
fumecheng-7346	43	13	their	their	PRON
fumecheng-7346	43	14	dynamic	dynamic	ADJ
fumecheng-7346	43	15	behavior	behavior	NOUN
fumecheng-7346	43	16	.	.	PUNCT
fumecheng-7346	44	1	recently	recently	ADV
fumecheng-7346	44	2	fu	fu	PROPN
fumecheng-7346	44	3	et	et	PROPN
fumecheng-7346	44	4	al	al	PROPN
fumecheng-7346	44	5	.	.	PUNCT
fumecheng-7346	45	1	[	[	X
fumecheng-7346	45	2	11	11	NUM
fumecheng-7346	45	3	]	]	PUNCT
fumecheng-7346	45	4	studied	study	VERB
fumecheng-7346	45	5	electrically	electrically	ADV
fumecheng-7346	45	6	excited	excited	ADJ
fumecheng-7346	45	7	microbeams	microbeam	NOUN
fumecheng-7346	45	8	-	-	PUNCT
fumecheng-7346	45	9	based	base	VERB
fumecheng-7346	45	10	mems	mem	NOUN
fumecheng-7346	45	11	oscillator	oscillator	NOUN
fumecheng-7346	45	12	by	by	ADP
fumecheng-7346	45	13	employing	employ	VERB
fumecheng-7346	45	14	the	the	DET
fumecheng-7346	45	15	ebm	ebm	NOUN
fumecheng-7346	46	1	[	[	X
fumecheng-7346	46	2	11	11	NUM
fumecheng-7346	46	3	]	]	PUNCT
fumecheng-7346	46	4	.	.	PUNCT
fumecheng-7346	47	1	the	the	DET
fumecheng-7346	47	2	electrostatic	electrostatic	ADJ
fumecheng-7346	47	3	force	force	NOUN
fumecheng-7346	47	4	was	be	AUX
fumecheng-7346	47	5	used	use	VERB
fumecheng-7346	47	6	for	for	ADP
fumecheng-7346	47	7	actuation	actuation	NOUN
fumecheng-7346	47	8	while	while	SCONJ
fumecheng-7346	47	9	the	the	DET
fumecheng-7346	47	10	solution	solution	NOUN
fumecheng-7346	47	11	was	be	AUX
fumecheng-7346	47	12	depicted	depict	VERB
fumecheng-7346	47	13	as	as	ADP
fumecheng-7346	47	14	an	an	DET
fumecheng-7346	47	15	amplitude	amplitude	NOUN
fumecheng-7346	47	16	-	-	PUNCT
fumecheng-7346	47	17	frequency	frequency	NOUN
fumecheng-7346	47	18	relationship	relationship	NOUN
fumecheng-7346	47	19	.	.	PUNCT
fumecheng-7346	48	1	in	in	ADP
fumecheng-7346	48	2	this	this	DET
fumecheng-7346	48	3	paper	paper	NOUN
fumecheng-7346	48	4	,	,	PUNCT
fumecheng-7346	48	5	we	we	PRON
fumecheng-7346	48	6	link	link	VERB
fumecheng-7346	48	7	the	the	DET
fumecheng-7346	48	8	enhanced	enhance	VERB
fumecheng-7346	48	9	perturbation	perturbation	NOUN
fumecheng-7346	48	10	method	method	NOUN
fumecheng-7346	48	11	with	with	ADP
fumecheng-7346	48	12	the	the	DET
fumecheng-7346	48	13	parameter	parameter	NOUN
fumecheng-7346	48	14	expansion	expansion	NOUN
fumecheng-7346	48	15	technology	technology	NOUN
fumecheng-7346	49	1	[	[	X
fumecheng-7346	49	2	19,31	19,31	NUM
fumecheng-7346	49	3	]	]	PUNCT
fumecheng-7346	49	4	and	and	CCONJ
fumecheng-7346	49	5	propose	propose	VERB
fumecheng-7346	49	6	an	an	DET
fumecheng-7346	49	7	amplitude	amplitude	NOUN
fumecheng-7346	49	8	-	-	PUNCT
fumecheng-7346	49	9	frequency	frequency	NOUN
fumecheng-7346	49	10	formula	formula	NOUN
fumecheng-7346	49	11	based	base	VERB
fumecheng-7346	49	12	on	on	ADP
fumecheng-7346	49	13	li	li	PROPN
fumecheng-7346	49	14	-	-	PROPN
fumecheng-7346	49	15	he	he	PRON
fumecheng-7346	49	16	’s	’s	AUX
fumecheng-7346	49	17	approach	approach	VERB
fumecheng-7346	49	18	[	[	X
fumecheng-7346	49	19	37	37	NUM
fumecheng-7346	49	20	]	]	PUNCT
fumecheng-7346	49	21	in	in	ADP
fumecheng-7346	49	22	order	order	NOUN
fumecheng-7346	49	23	to	to	PART
fumecheng-7346	49	24	find	find	VERB
fumecheng-7346	49	25	an	an	DET
fumecheng-7346	49	26	approximate	approximate	ADJ
fumecheng-7346	49	27	solution	solution	NOUN
fumecheng-7346	49	28	of	of	ADP
fumecheng-7346	49	29	the	the	DET
fumecheng-7346	49	30	aforementioned	aforementioned	ADJ
fumecheng-7346	49	31	model	model	NOUN
fumecheng-7346	49	32	.	.	PUNCT
fumecheng-7346	50	1	the	the	DET
fumecheng-7346	50	2	nonlinear	nonlinear	ADJ
fumecheng-7346	50	3	frequency	frequency	NOUN
fumecheng-7346	50	4	obtained	obtain	VERB
fumecheng-7346	50	5	from	from	ADP
fumecheng-7346	50	6	the	the	DET
fumecheng-7346	50	7	proposed	propose	VERB
fumecheng-7346	50	8	technology	technology	NOUN
fumecheng-7346	50	9	is	be	AUX
fumecheng-7346	50	10	compared	compare	VERB
fumecheng-7346	50	11	with	with	ADP
fumecheng-7346	50	12	the	the	DET
fumecheng-7346	50	13	frequency	frequency	NOUN
fumecheng-7346	50	14	achieved	achieve	VERB
fumecheng-7346	50	15	numerically	numerically	ADV
fumecheng-7346	50	16	using	use	VERB
fumecheng-7346	50	17	the	the	DET
fumecheng-7346	50	18	runge	runge	NOUN
fumecheng-7346	50	19	-	-	PUNCT
fumecheng-7346	50	20	kutta	kutta	NOUN
fumecheng-7346	50	21	method	method	NOUN
fumecheng-7346	50	22	(	(	PUNCT
fumecheng-7346	50	23	rk	rk	NOUN
fumecheng-7346	50	24	)	)	PUNCT
fumecheng-7346	50	25	for	for	ADP
fumecheng-7346	50	26	verification	verification	NOUN
fumecheng-7346	50	27	.	.	PUNCT
fumecheng-7346	51	1	we	we	PRON
fumecheng-7346	51	2	also	also	ADV
fumecheng-7346	51	3	match	match	VERB
fumecheng-7346	51	4	the	the	DET
fumecheng-7346	51	5	results	result	NOUN
fumecheng-7346	51	6	of	of	ADP
fumecheng-7346	51	7	li	li	PROPN
fumecheng-7346	51	8	-	-	PROPN
fumecheng-7346	51	9	he	he	PRON
fumecheng-7346	51	10	’s	’s	PART
fumecheng-7346	51	11	technique	technique	NOUN
fumecheng-7346	51	12	with	with	ADP
fumecheng-7346	51	13	those	those	PRON
fumecheng-7346	51	14	attained	attain	VERB
fumecheng-7346	51	15	from	from	ADP
fumecheng-7346	51	16	ebm	ebm	PROPN
fumecheng-7346	51	17	[	[	X
fumecheng-7346	51	18	11	11	NUM
fumecheng-7346	51	19	]	]	PUNCT
fumecheng-7346	51	20	to	to	PART
fumecheng-7346	51	21	ensure	ensure	VERB
fumecheng-7346	51	22	the	the	DET
fumecheng-7346	51	23	effectiveness	effectiveness	NOUN
fumecheng-7346	51	24	of	of	ADP
fumecheng-7346	51	25	the	the	DET
fumecheng-7346	51	26	suggested	suggest	VERB
fumecheng-7346	51	27	approach	approach	NOUN
fumecheng-7346	51	28	over	over	ADP
fumecheng-7346	51	29	ebm	ebm	PROPN
fumecheng-7346	51	30	.	.	PROPN
fumecheng-7346	51	31	2	2	NUM
fumecheng-7346	51	32	.	.	X
fumecheng-7346	51	33	problem	problem	NOUN
fumecheng-7346	51	34	statement	statement	NOUN
fumecheng-7346	51	35	consider	consider	VERB
fumecheng-7346	51	36	a	a	DET
fumecheng-7346	51	37	doubly	doubly	ADV
fumecheng-7346	51	38	-	-	PUNCT
fumecheng-7346	51	39	clamped	clamp	VERB
fumecheng-7346	51	40	microbeam	microbeam	NOUN
fumecheng-7346	51	41	of	of	ADP
fumecheng-7346	51	42	length	length	NOUN
fumecheng-7346	51	43	l	l	NOUN
fumecheng-7346	51	44	,	,	PUNCT
fumecheng-7346	51	45	width	width	ADJ
fumecheng-7346	51	46	b	b	NOUN
fumecheng-7346	51	47	,	,	PUNCT
fumecheng-7346	51	48	thickness	thickness	NOUN
fumecheng-7346	51	49	h	h	NOUN
fumecheng-7346	51	50	and	and	CCONJ
fumecheng-7346	51	51	density	density	NOUN
fumecheng-7346	51	52	ρ	ρ	NOUN
fumecheng-7346	51	53	shown	show	VERB
fumecheng-7346	51	54	in	in	ADP
fumecheng-7346	51	55	fig	fig	NOUN
fumecheng-7346	51	56	.	.	PUNCT
fumecheng-7346	52	1	1	1	NUM
fumecheng-7346	52	2	with	with	ADP
fumecheng-7346	52	3	coordinate	coordinate	NOUN
fumecheng-7346	52	4	system	system	NOUN
fumecheng-7346	52	5	oxyz	oxyz	NOUN
fumecheng-7346	52	6	.	.	PUNCT
fumecheng-7346	53	1	equation	equation	NOUN
fumecheng-7346	53	2	of	of	ADP
fumecheng-7346	53	3	motion	motion	NOUN
fumecheng-7346	53	4	as	as	ADP
fumecheng-7346	53	5	deflection	deflection	NOUN
fumecheng-7346	53	6	of	of	ADP
fumecheng-7346	53	7	microbeam	microbeam	NOUN
fumecheng-7346	53	8	can	can	AUX
fumecheng-7346	53	9	be	be	AUX
fumecheng-7346	53	10	expressed	express	VERB
fumecheng-7346	53	11	with	with	ADP
fumecheng-7346	53	12	a	a	DET
fumecheng-7346	53	13	partial	partial	ADJ
fumecheng-7346	53	14	differential	differential	NOUN
fumecheng-7346	53	15	equation	equation	NOUN
fumecheng-7346	53	16	as	as	SCONJ
fumecheng-7346	53	17	li	li	PROPN
fumecheng-7346	53	18	-	-	PROPN
fumecheng-7346	53	19	he	he	PRON
fumecheng-7346	53	20	’s	’	VERB
fumecheng-7346	53	21	modified	modify	VERB
fumecheng-7346	53	22	homotopy	homotopy	NOUN
fumecheng-7346	53	23	perturbation	perturbation	NOUN
fumecheng-7346	53	24	method	method	NOUN
fumecheng-7346	53	25	for	for	ADP
fumecheng-7346	53	26	doubly	doubly	ADV
fumecheng-7346	53	27	-	-	PUNCT
fumecheng-7346	53	28	clamped	clamp	VERB
fumecheng-7346	53	29	electrically	electrically	ADV
fumecheng-7346	53	30	actuated	actuate	VERB
fumecheng-7346	53	31	...	...	PUNCT
fumecheng-7346	54	1	603	603	NUM
fumecheng-7346	54	2	4	4	NUM
fumecheng-7346	54	3	2	2	NUM
fumecheng-7346	54	4	2	2	NUM
fumecheng-7346	54	5	4	4	NUM
fumecheng-7346	54	6	2	2	NUM
fumecheng-7346	54	7	2	2	NUM
fumecheng-7346	54	8	0	0	NUM
fumecheng-7346	54	9	(	(	PUNCT
fumecheng-7346	54	10	,	,	PUNCT
fumecheng-7346	54	11	)	)	PUNCT
fumecheng-7346	54	12	0	0	NUM
fumecheng-7346	54	13	2	2	NUM
fumecheng-7346	54	14	l	l	NOUN
fumecheng-7346	54	15	w	w	NOUN
fumecheng-7346	54	16	w	w	NOUN
fumecheng-7346	54	17	es	es	X
fumecheng-7346	54	18	w	w	PROPN
fumecheng-7346	54	19	w	w	PROPN
fumecheng-7346	54	20	ei	ei	PROPN
fumecheng-7346	54	21	s	s	PART
fumecheng-7346	54	22	n	n	PRON
fumecheng-7346	54	23	dx	dx	PROPN
fumecheng-7346	54	24	f	f	PROPN
fumecheng-7346	54	25	x	x	PUNCT
fumecheng-7346	54	26	l	l	NOUN
fumecheng-7346	54	27	xx	xx	NUM
fumecheng-7346	54	28	x	x	PUNCT
fumecheng-7346	54	29			ADP
fumecheng-7346	54	30			NOUN
fumecheng-7346	54	31			NOUN
fumecheng-7346	55	1			PROPN
fumecheng-7346	55	2			ADJ
fumecheng-7346	55	3			ADJ
fumecheng-7346	55	4			PROPN
fumecheng-7346	55	5			PROPN
fumecheng-7346	55	6			PROPN
fumecheng-7346	55	7	+	+	CCONJ
fumecheng-7346	55	8	−	−	PROPN
fumecheng-7346	56	1	+	+	CCONJ
fumecheng-7346	56	2	−	−	PROPN
fumecheng-7346	56	3	=	=	SYM
fumecheng-7346	56	4			NOUN
fumecheng-7346	56	5			NOUN
fumecheng-7346	56	6			PROPN
fumecheng-7346	56	7			PROPN
fumecheng-7346	56	8			PROPN
fumecheng-7346	56	9			ADJ
fumecheng-7346	56	10			PROPN
fumecheng-7346	56	11			PROPN
fumecheng-7346	56	12			PUNCT
fumecheng-7346	56	13	(	(	PUNCT
fumecheng-7346	56	14	1	1	X
fumecheng-7346	56	15	)	)	PUNCT
fumecheng-7346	56	16	where	where	SCONJ
fumecheng-7346	56	17	w(x,	w(x,	PROPN
fumecheng-7346	56	18	)	)	PUNCT
fumecheng-7346	56	19	is	be	AUX
fumecheng-7346	56	20	the	the	DET
fumecheng-7346	56	21	function	function	NOUN
fumecheng-7346	56	22	of	of	ADP
fumecheng-7346	56	23	location	location	NOUN
fumecheng-7346	56	24	x	x	PUNCT
fumecheng-7346	56	25	while	while	SCONJ
fumecheng-7346	56	26	time	time	NOUN
fumecheng-7346	56	27			NOUN
fumecheng-7346	56	28	represents	represent	VERB
fumecheng-7346	56	29	the	the	DET
fumecheng-7346	56	30	deflection	deflection	NOUN
fumecheng-7346	56	31	of	of	ADP
fumecheng-7346	56	32	microbeam	microbeam	NOUN
fumecheng-7346	56	33	,	,	PUNCT
fumecheng-7346	56	34	e	e	X
fumecheng-7346	56	35	is	be	AUX
fumecheng-7346	56	36	the	the	DET
fumecheng-7346	56	37	young	young	ADJ
fumecheng-7346	56	38	’s	’s	PART
fumecheng-7346	56	39	modulus	modulus	NOUN
fumecheng-7346	56	40	,	,	PUNCT
fumecheng-7346	56	41	i	i	NOUN
fumecheng-7346	56	42	=	=	NOUN
fumecheng-7346	56	43	bh3/12	bh3/12	NOUN
fumecheng-7346	56	44	and	and	CCONJ
fumecheng-7346	56	45	s	s	PROPN
fumecheng-7346	56	46	=	=	NOUN
fumecheng-7346	56	47	bh	bh	NOUN
fumecheng-7346	56	48	are	be	AUX
fumecheng-7346	56	49	moment	moment	NOUN
fumecheng-7346	56	50	of	of	ADP
fumecheng-7346	56	51	inertia	inertia	NOUN
fumecheng-7346	56	52	about	about	ADP
fumecheng-7346	56	53	y	y	NOUN
fumecheng-7346	56	54	-	-	PUNCT
fumecheng-7346	56	55	axis	axis	NOUN
fumecheng-7346	56	56	and	and	CCONJ
fumecheng-7346	56	57	area	area	NOUN
fumecheng-7346	56	58	of	of	ADP
fumecheng-7346	56	59	cross	cross	NOUN
fumecheng-7346	56	60	section	section	NOUN
fumecheng-7346	56	61	,	,	PUNCT
fumecheng-7346	56	62	respectively	respectively	ADV
fumecheng-7346	56	63	,	,	PUNCT
fumecheng-7346	56	64	ñ	ñ	PROPN
fumecheng-7346	56	65	is	be	AUX
fumecheng-7346	56	66	the	the	DET
fumecheng-7346	56	67	axial	axial	ADJ
fumecheng-7346	56	68	load	load	NOUN
fumecheng-7346	56	69	between	between	ADP
fumecheng-7346	56	70	microbeam	microbeam	NOUN
fumecheng-7346	56	71	and	and	CCONJ
fumecheng-7346	56	72	its	its	PRON
fumecheng-7346	56	73	substrate	substrate	NOUN
fumecheng-7346	56	74	and	and	CCONJ
fumecheng-7346	56	75	f(x	f(x	PROPN
fumecheng-7346	56	76	,	,	PUNCT
fumecheng-7346	56	77			PROPN
fumecheng-7346	56	78	)	)	PUNCT
fumecheng-7346	56	79	is	be	AUX
fumecheng-7346	56	80	the	the	DET
fumecheng-7346	56	81	actuation	actuation	NOUN
fumecheng-7346	56	82	force	force	NOUN
fumecheng-7346	56	83	resulting	result	VERB
fumecheng-7346	56	84	from	from	ADP
fumecheng-7346	56	85	electrostatic	electrostatic	ADJ
fumecheng-7346	56	86	excitation	excitation	NOUN
fumecheng-7346	56	87	[	[	X
fumecheng-7346	56	88	42	42	NUM
fumecheng-7346	56	89	]	]	PUNCT
fumecheng-7346	56	90	.	.	PUNCT
fumecheng-7346	57	1	2	2	NUM
fumecheng-7346	57	2	2	2	NUM
fumecheng-7346	57	3	2	2	NUM
fumecheng-7346	57	4	1	1	NUM
fumecheng-7346	57	5	1	1	NUM
fumecheng-7346	57	6	(	(	PUNCT
fumecheng-7346	57	7	,	,	PUNCT
fumecheng-7346	57	8	)	)	PUNCT
fumecheng-7346	57	9	2	2	NUM
fumecheng-7346	57	10	(	(	PUNCT
fumecheng-7346	57	11	)	)	PUNCT
fumecheng-7346	57	12	(	(	PUNCT
fumecheng-7346	57	13	)	)	PUNCT
fumecheng-7346	57	14	b	b	X
fumecheng-7346	58	1	f	f	NOUN
fumecheng-7346	58	2	x	x	SYM
fumecheng-7346	58	3	d	d	X
fumecheng-7346	58	4	w	w	PROPN
fumecheng-7346	58	5	d	d	PROPN
fumecheng-7346	58	6	w	w	PROPN
fumecheng-7346	58	7			PUNCT
fumecheng-7346	58	8			PROPN
fumecheng-7346	58	9			NOUN
fumecheng-7346	58	10			NOUN
fumecheng-7346	58	11			NOUN
fumecheng-7346	58	12	=	=	PUNCT
fumecheng-7346	58	13	−	−	PUNCT
fumecheng-7346	59	1			NOUN
fumecheng-7346	59	2	−	−	PUNCT
fumecheng-7346	60	1	+	+	NOUN
fumecheng-7346	60	2			PROPN
fumecheng-7346	60	3			PROPN
fumecheng-7346	60	4	(	(	PUNCT
fumecheng-7346	60	5	2	2	NUM
fumecheng-7346	60	6	)	)	PUNCT
fumecheng-7346	60	7	where	where	SCONJ
fumecheng-7346	60	8	ν	ν	PROPN
fumecheng-7346	60	9	denotes	denote	VERB
fumecheng-7346	60	10	poisson	poisson	PROPN
fumecheng-7346	60	11	ratio	ratio	PROPN
fumecheng-7346	60	12	,	,	PUNCT
fumecheng-7346	60	13	εν	εν	PROPN
fumecheng-7346	60	14	is	be	AUX
fumecheng-7346	60	15	dielectric	dielectric	ADV
fumecheng-7346	60	16	constant	constant	ADJ
fumecheng-7346	60	17	with	with	ADP
fumecheng-7346	60	18	usual	usual	ADJ
fumecheng-7346	60	19	value	value	NOUN
fumecheng-7346	60	20	of	of	ADP
fumecheng-7346	60	21	8.85	8.85	NUM
fumecheng-7346	60	22	pfm−1	pfm−1	PROPN
fumecheng-7346	60	23	and	and	CCONJ
fumecheng-7346	60	24	d	d	PROPN
fumecheng-7346	60	25	is	be	AUX
fumecheng-7346	60	26	the	the	DET
fumecheng-7346	60	27	initial	initial	ADJ
fumecheng-7346	60	28	gap	gap	NOUN
fumecheng-7346	60	29	between	between	ADP
fumecheng-7346	60	30	the	the	DET
fumecheng-7346	60	31	substrate	substrate	NOUN
fumecheng-7346	60	32	and	and	CCONJ
fumecheng-7346	60	33	the	the	DET
fumecheng-7346	60	34	beam	beam	NOUN
fumecheng-7346	60	35	.	.	PUNCT
fumecheng-7346	61	1	as	as	SCONJ
fumecheng-7346	61	2	the	the	DET
fumecheng-7346	61	3	whole	whole	ADJ
fumecheng-7346	61	4	study	study	NOUN
fumecheng-7346	61	5	is	be	AUX
fumecheng-7346	61	6	performed	perform	VERB
fumecheng-7346	61	7	for	for	ADP
fumecheng-7346	61	8	a	a	DET
fumecheng-7346	61	9	doubly	doubly	ADV
fumecheng-7346	61	10	-	-	PUNCT
fumecheng-7346	61	11	clamped	clamp	VERB
fumecheng-7346	61	12	microbeam	microbeam	NOUN
fumecheng-7346	61	13	,	,	PUNCT
fumecheng-7346	61	14	the	the	DET
fumecheng-7346	61	15	boundary	boundary	ADJ
fumecheng-7346	61	16	conditions	condition	NOUN
fumecheng-7346	61	17	will	will	AUX
fumecheng-7346	61	18	be	be	AUX
fumecheng-7346	61	19	(	(	PUNCT
fumecheng-7346	61	20	0	0	NUM
fumecheng-7346	61	21	,	,	PUNCT
fumecheng-7346	61	22	)	)	PUNCT
fumecheng-7346	61	23	(	(	PUNCT
fumecheng-7346	61	24	,	,	PUNCT
fumecheng-7346	61	25	)	)	PUNCT
fumecheng-7346	61	26	(	(	PUNCT
fumecheng-7346	61	27	0	0	NUM
fumecheng-7346	61	28	,	,	PUNCT
fumecheng-7346	61	29	)	)	PUNCT
fumecheng-7346	61	30	(	(	PUNCT
fumecheng-7346	61	31	,	,	PUNCT
fumecheng-7346	61	32	)	)	PUNCT
fumecheng-7346	61	33	0	0	NUM
fumecheng-7346	61	34	,	,	PUNCT
fumecheng-7346	61	35	0	0	NUM
fumecheng-7346	62	1	l	l	NOUN
fumecheng-7346	62	2	w	w	PROPN
fumecheng-7346	62	3	w	w	PROPN
fumecheng-7346	62	4	w	w	PROPN
fumecheng-7346	62	5	w	w	PROPN
fumecheng-7346	62	6	l	l	NOUN
fumecheng-7346	62	7	x	x	X
fumecheng-7346	62	8	x	x	PROPN
fumecheng-7346	62	9			NOUN
fumecheng-7346	62	10			NOUN
fumecheng-7346	62	11			NOUN
fumecheng-7346	62	12			ADJ
fumecheng-7346	62	13			ADJ
fumecheng-7346	62	14	=	=	PUNCT
fumecheng-7346	62	15	=	=	SYM
fumecheng-7346	62	16	=	=	SYM
fumecheng-7346	62	17	=	=	SYM
fumecheng-7346	62	18			ADJ
fumecheng-7346	62	19			ADJ
fumecheng-7346	62	20	(	(	PUNCT
fumecheng-7346	62	21	3	3	NUM
fumecheng-7346	62	22	)	)	PUNCT
fumecheng-7346	62	23	fig	fig	NOUN
fumecheng-7346	62	24	.	.	PUNCT
fumecheng-7346	62	25	1	1	NUM
fumecheng-7346	62	26	model	model	NOUN
fumecheng-7346	62	27	of	of	ADP
fumecheng-7346	62	28	doubly	doubly	ADV
fumecheng-7346	62	29	clamped	clamp	VERB
fumecheng-7346	62	30	electrically	electrically	ADV
fumecheng-7346	62	31	actuated	actuate	VERB
fumecheng-7346	62	32	microbeam	microbeam	NOUN
fumecheng-7346	62	33	-	-	PUNCT
fumecheng-7346	62	34	based	base	VERB
fumecheng-7346	62	35	mems	mem	NOUN
fumecheng-7346	62	36	for	for	ADP
fumecheng-7346	62	37	simplicity	simplicity	NOUN
fumecheng-7346	62	38	,	,	PUNCT
fumecheng-7346	62	39	the	the	DET
fumecheng-7346	62	40	variables	variable	NOUN
fumecheng-7346	62	41	of	of	ADP
fumecheng-7346	62	42	deflection	deflection	NOUN
fumecheng-7346	62	43	of	of	ADP
fumecheng-7346	62	44	microbeam	microbeam	NOUN
fumecheng-7346	62	45	,	,	PUNCT
fumecheng-7346	62	46	location	location	NOUN
fumecheng-7346	62	47	,	,	PUNCT
fumecheng-7346	62	48	and	and	CCONJ
fumecheng-7346	62	49	time	time	NOUN
fumecheng-7346	62	50	in	in	ADP
fumecheng-7346	62	51	nondimensional	nondimensional	ADJ
fumecheng-7346	62	52	form	form	NOUN
fumecheng-7346	62	53	can	can	AUX
fumecheng-7346	62	54	be	be	AUX
fumecheng-7346	62	55	taken	take	VERB
fumecheng-7346	62	56	as	as	ADP
fumecheng-7346	62	57	w	w	PROPN
fumecheng-7346	62	58	w	w	PROPN
fumecheng-7346	62	59	d	d	PROPN
fumecheng-7346	62	60	=	=	PRON
fumecheng-7346	62	61	,	,	PUNCT
fumecheng-7346	62	62	x	x	X
fumecheng-7346	62	63	l	l	NOUN
fumecheng-7346	62	64			NUM
fumecheng-7346	62	65	=	=	SYM
fumecheng-7346	62	66	,	,	PUNCT
fumecheng-7346	62	67	t	t	PROPN
fumecheng-7346	62	68	t	t	NOUN
fumecheng-7346	62	69			NOUN
fumecheng-7346	62	70	=	=	SYM
fumecheng-7346	62	71	(	(	PUNCT
fumecheng-7346	62	72	4	4	NUM
fumecheng-7346	62	73	)	)	PUNCT
fumecheng-7346	62	74	where	where	SCONJ
fumecheng-7346	62	75	4hbl	4hbl	NUM
fumecheng-7346	62	76	t	t	NOUN
fumecheng-7346	62	77	ei	ei	X
fumecheng-7346	62	78			NOUN
fumecheng-7346	62	79	=	=	PUNCT
fumecheng-7346	62	80	(	(	PUNCT
fumecheng-7346	62	81	5	5	NUM
fumecheng-7346	62	82	)	)	PUNCT
fumecheng-7346	62	83	eq	eq	NOUN
fumecheng-7346	62	84	.	.	PUNCT
fumecheng-7346	63	1	(	(	PUNCT
fumecheng-7346	63	2	1	1	X
fumecheng-7346	63	3	)	)	PUNCT
fumecheng-7346	63	4	after	after	ADP
fumecheng-7346	63	5	substituting	substitute	VERB
fumecheng-7346	63	6	the	the	DET
fumecheng-7346	63	7	nondimensional	nondimensional	ADJ
fumecheng-7346	63	8	variables	variable	NOUN
fumecheng-7346	63	9	from	from	ADP
fumecheng-7346	63	10	eq	eq	ADP
fumecheng-7346	63	11	.	.	PUNCT
fumecheng-7346	64	1	(	(	PUNCT
fumecheng-7346	64	2	4	4	X
fumecheng-7346	64	3	)	)	PUNCT
fumecheng-7346	64	4	is	be	AUX
fumecheng-7346	64	5	given	give	VERB
fumecheng-7346	64	6	by	by	ADP
fumecheng-7346	64	7	14	14	NUM
fumecheng-7346	64	8	2	2	NUM
fumecheng-7346	64	9	2	2	NUM
fumecheng-7346	64	10	2	2	NUM
fumecheng-7346	64	11	4	4	NUM
fumecheng-7346	64	12	2	2	NUM
fumecheng-7346	64	13	2	2	NUM
fumecheng-7346	64	14	2	2	NUM
fumecheng-7346	64	15	2	2	NUM
fumecheng-7346	64	16	0	0	NUM
fumecheng-7346	64	17	1	1	NUM
fumecheng-7346	64	18	1	1	NUM
fumecheng-7346	64	19	0	0	NUM
fumecheng-7346	64	20	4	4	NUM
fumecheng-7346	64	21	(	(	PUNCT
fumecheng-7346	64	22	1	1	NUM
fumecheng-7346	64	23	)	)	PUNCT
fumecheng-7346	64	24	(	(	PUNCT
fumecheng-7346	64	25	1	1	X
fumecheng-7346	64	26	)	)	PUNCT
fumecheng-7346	64	27	w	w	PROPN
fumecheng-7346	64	28	w	w	PROPN
fumecheng-7346	64	29	w	w	PROPN
fumecheng-7346	64	30	w	w	PROPN
fumecheng-7346	65	1	d	d	PROPN
fumecheng-7346	65	2	t	t	PROPN
fumecheng-7346	65	3	w	w	PROPN
fumecheng-7346	65	4	w	w	PROPN
fumecheng-7346	65	5			PUNCT
fumecheng-7346	65	6			PROPN
fumecheng-7346	65	7			PROPN
fumecheng-7346	65	8			NUM
fumecheng-7346	65	9			NOUN
fumecheng-7346	65	10			NUM
fumecheng-7346	65	11			PROPN
fumecheng-7346	65	12			ADJ
fumecheng-7346	65	13			PROPN
fumecheng-7346	65	14			PROPN
fumecheng-7346	65	15			VERB
fumecheng-7346	65	16			ADJ
fumecheng-7346	65	17			ADJ
fumecheng-7346	65	18			PROPN
fumecheng-7346	65	19	+	+	CCONJ
fumecheng-7346	65	20	−	−	PROPN
fumecheng-7346	66	1	+	+	CCONJ
fumecheng-7346	66	2	−	−	PROPN
fumecheng-7346	66	3	−	−	NOUN
fumecheng-7346	66	4	=	=	SYM
fumecheng-7346	66	5			NOUN
fumecheng-7346	66	6			NOUN
fumecheng-7346	66	7			ADJ
fumecheng-7346	66	8			NOUN
fumecheng-7346	67	1			NOUN
fumecheng-7346	67	2			VERB
fumecheng-7346	67	3			ADJ
fumecheng-7346	67	4			PROPN
fumecheng-7346	67	5	−	−	ADP
fumecheng-7346	68	1	+	+	ADJ
fumecheng-7346	68	2			PROPN
fumecheng-7346	68	3			NOUN
fumecheng-7346	68	4			VERB
fumecheng-7346	68	5			ADJ
fumecheng-7346	68	6			PROPN
fumecheng-7346	68	7			PUNCT
fumecheng-7346	68	8	(	(	PUNCT
fumecheng-7346	68	9	6	6	NUM
fumecheng-7346	68	10	)	)	PUNCT
fumecheng-7346	68	11	where	where	SCONJ
fumecheng-7346	68	12	nondimensional	nondimensional	ADJ
fumecheng-7346	68	13	parameters	parameter	NOUN
fumecheng-7346	68	14	axial	axial	ADJ
fumecheng-7346	68	15	load	load	NOUN
fumecheng-7346	68	16	n	n	CCONJ
fumecheng-7346	68	17	,	,	PUNCT
fumecheng-7346	68	18	aspect	aspect	VERB
fumecheng-7346	68	19	ratio	ratio	NOUN
fumecheng-7346	68	20	α	α	PROPN
fumecheng-7346	68	21	and	and	CCONJ
fumecheng-7346	68	22	parameter	parameter	NOUN
fumecheng-7346	68	23	of	of	ADP
fumecheng-7346	68	24	electrostatic	electrostatic	ADJ
fumecheng-7346	68	25	force	force	NOUN
fumecheng-7346	68	26	v	v	NOUN
fumecheng-7346	68	27	in	in	ADP
fumecheng-7346	68	28	eq	eq	ADP
fumecheng-7346	68	29	.	.	PUNCT
fumecheng-7346	69	1	(	(	PUNCT
fumecheng-7346	69	2	4	4	X
fumecheng-7346	69	3	)	)	PUNCT
fumecheng-7346	69	4	are	be	AUX
fumecheng-7346	69	5	as	as	SCONJ
fumecheng-7346	69	6	follows	follow	VERB
fumecheng-7346	69	7	604	604	NUM
fumecheng-7346	69	8	n.	n.	PROPN
fumecheng-7346	69	9	anjum	anjum	PROPN
fumecheng-7346	69	10	,	,	PUNCT
fumecheng-7346	69	11	j.-h	j.-h	PROPN
fumecheng-7346	69	12	.	.	PUNCT
fumecheng-7346	70	1	he	he	PRON
fumecheng-7346	70	2	,	,	PUNCT
fumecheng-7346	70	3	q.	q.	PROPN
fumecheng-7346	70	4	t.	t.	PROPN
fumecheng-7346	70	5	ain	ain	PROPN
fumecheng-7346	70	6	,	,	PUNCT
fumecheng-7346	70	7	d.	d.	PROPN
fumecheng-7346	70	8	tian	tian	PROPN
fumecheng-7346	70	9	2nl	2nl	PROPN
fumecheng-7346	70	10	n	n	X
fumecheng-7346	70	11	ei	ei	NOUN
fumecheng-7346	70	12	=	=	PUNCT
fumecheng-7346	70	13	,	,	PUNCT
fumecheng-7346	70	14	2	2	NUM
fumecheng-7346	70	15	6	6	NUM
fumecheng-7346	70	16	d	d	NOUN
fumecheng-7346	70	17	h	h	NOUN
fumecheng-7346	70	18			NOUN
fumecheng-7346	70	19			NOUN
fumecheng-7346	70	20			NOUN
fumecheng-7346	70	21	=	=	SYM
fumecheng-7346	70	22			PROPN
fumecheng-7346	70	23			PROPN
fumecheng-7346	70	24			PROPN
fumecheng-7346	70	25			NOUN
fumecheng-7346	70	26	,	,	PUNCT
fumecheng-7346	70	27	4	4	NUM
fumecheng-7346	70	28	2	2	NUM
fumecheng-7346	70	29	3	3	NUM
fumecheng-7346	70	30	3	3	NUM
fumecheng-7346	70	31	24l	24l	NOUN
fumecheng-7346	70	32	v	v	ADP
fumecheng-7346	70	33	ed	ed	PROPN
fumecheng-7346	70	34	h	h	PROPN
fumecheng-7346	70	35			NOUN
fumecheng-7346	70	36			PROPN
fumecheng-7346	70	37	=	=	PUNCT
fumecheng-7346	70	38	(	(	PUNCT
fumecheng-7346	70	39	7	7	X
fumecheng-7346	70	40	)	)	PUNCT
fumecheng-7346	70	41	also	also	ADV
fumecheng-7346	70	42	the	the	DET
fumecheng-7346	70	43	boundary	boundary	ADJ
fumecheng-7346	70	44	conditions	condition	NOUN
fumecheng-7346	70	45	in	in	ADP
fumecheng-7346	70	46	nondimensional	nondimensional	ADJ
fumecheng-7346	70	47	form	form	NOUN
fumecheng-7346	70	48	can	can	AUX
fumecheng-7346	70	49	be	be	AUX
fumecheng-7346	70	50	expressed	express	VERB
fumecheng-7346	70	51	as	as	ADP
fumecheng-7346	70	52	(	(	PUNCT
fumecheng-7346	70	53	0	0	NUM
fumecheng-7346	70	54	,	,	PUNCT
fumecheng-7346	70	55	)	)	PUNCT
fumecheng-7346	70	56	(	(	PUNCT
fumecheng-7346	70	57	1	1	NUM
fumecheng-7346	70	58	,	,	PUNCT
fumecheng-7346	70	59	)	)	PUNCT
fumecheng-7346	70	60	(	(	PUNCT
fumecheng-7346	70	61	0	0	NUM
fumecheng-7346	70	62	,	,	PUNCT
fumecheng-7346	70	63	)	)	PUNCT
fumecheng-7346	70	64	(	(	PUNCT
fumecheng-7346	70	65	1	1	NUM
fumecheng-7346	70	66	,	,	PUNCT
fumecheng-7346	70	67	)	)	PUNCT
fumecheng-7346	70	68	0	0	NUM
fumecheng-7346	70	69	,	,	PUNCT
fumecheng-7346	70	70	0	0	NUM
fumecheng-7346	71	1	w	w	PROPN
fumecheng-7346	71	2	w	w	PROPN
fumecheng-7346	71	3	w	w	PROPN
fumecheng-7346	71	4	t	t	PROPN
fumecheng-7346	71	5	w	w	PROPN
fumecheng-7346	71	6	t	t	PROPN
fumecheng-7346	71	7			NOUN
fumecheng-7346	71	8			NOUN
fumecheng-7346	71	9			PUNCT
fumecheng-7346	71	10			NUM
fumecheng-7346	71	11			ADJ
fumecheng-7346	71	12			NOUN
fumecheng-7346	71	13	=	=	SYM
fumecheng-7346	71	14	=	=	SYM
fumecheng-7346	71	15	=	=	SYM
fumecheng-7346	71	16	=	=	SYM
fumecheng-7346	71	17			ADJ
fumecheng-7346	71	18			ADJ
fumecheng-7346	71	19	(	(	PUNCT
fumecheng-7346	71	20	8)	8)	NUM
fumecheng-7346	71	21	we	we	PRON
fumecheng-7346	71	22	apply	apply	VERB
fumecheng-7346	71	23	method	method	NOUN
fumecheng-7346	71	24	of	of	ADP
fumecheng-7346	71	25	separation	separation	NOUN
fumecheng-7346	71	26	of	of	ADP
fumecheng-7346	71	27	variables	variable	NOUN
fumecheng-7346	71	28	in	in	ADP
fumecheng-7346	71	29	order	order	NOUN
fumecheng-7346	71	30	to	to	PART
fumecheng-7346	71	31	find	find	VERB
fumecheng-7346	71	32	the	the	DET
fumecheng-7346	71	33	solution	solution	NOUN
fumecheng-7346	71	34	of	of	ADP
fumecheng-7346	71	35	eq	eq	PROPN
fumecheng-7346	71	36	.	.	PUNCT
fumecheng-7346	71	37	(	(	PUNCT
fumecheng-7346	71	38	6	6	NUM
fumecheng-7346	71	39	)	)	PUNCT
fumecheng-7346	71	40	subject	subject	NOUN
fumecheng-7346	71	41	to	to	ADP
fumecheng-7346	71	42	boundary	boundary	ADJ
fumecheng-7346	71	43	conditions	condition	NOUN
fumecheng-7346	71	44	of	of	ADP
fumecheng-7346	71	45	eq	eq	PROPN
fumecheng-7346	71	46	.	.	PUNCT
fumecheng-7346	71	47	(	(	PUNCT
fumecheng-7346	71	48	8)	8)	NUM
fumecheng-7346	71	49	.	.	PUNCT
fumecheng-7346	72	1	hence	hence	ADV
fumecheng-7346	72	2	defection	defection	NOUN
fumecheng-7346	72	3	function	function	NOUN
fumecheng-7346	72	4	w(η	w(η	PROPN
fumecheng-7346	72	5	,	,	PUNCT
fumecheng-7346	72	6	t	t	PROPN
fumecheng-7346	72	7	)	)	PUNCT
fumecheng-7346	72	8	can	can	AUX
fumecheng-7346	72	9	be	be	AUX
fumecheng-7346	72	10	written	write	VERB
fumecheng-7346	72	11	as	as	ADP
fumecheng-7346	72	12	the	the	DET
fumecheng-7346	72	13	product	product	NOUN
fumecheng-7346	72	14	of	of	ADP
fumecheng-7346	72	15	two	two	NUM
fumecheng-7346	72	16	functions	function	NOUN
fumecheng-7346	72	17	.	.	PUNCT
fumecheng-7346	73	1	(	(	PUNCT
fumecheng-7346	73	2	,	,	PUNCT
fumecheng-7346	73	3	)	)	PUNCT
fumecheng-7346	73	4	(	(	PUNCT
fumecheng-7346	73	5	)	)	PUNCT
fumecheng-7346	73	6	(	(	PUNCT
fumecheng-7346	73	7	)	)	PUNCT
fumecheng-7346	73	8	w	w	PROPN
fumecheng-7346	73	9	t	t	PROPN
fumecheng-7346	73	10	t	t	PRON
fumecheng-7346	73	11			NOUN
fumecheng-7346	73	12			CCONJ
fumecheng-7346	73	13	=	=	X
fumecheng-7346	73	14	(	(	PUNCT
fumecheng-7346	73	15	9	9	NUM
fumecheng-7346	73	16	)	)	PUNCT
fumecheng-7346	73	17	where	where	SCONJ
fumecheng-7346	73	18	χ(t	χ(t	NOUN
fumecheng-7346	73	19	)	)	PUNCT
fumecheng-7346	73	20	is	be	AUX
fumecheng-7346	73	21	the	the	DET
fumecheng-7346	73	22	time	time	NOUN
fumecheng-7346	73	23	function	function	NOUN
fumecheng-7346	73	24	and	and	CCONJ
fumecheng-7346	73	25	ξ(η	ξ(η	NUM
fumecheng-7346	73	26	)	)	PUNCT
fumecheng-7346	73	27	is	be	AUX
fumecheng-7346	73	28	the	the	DET
fumecheng-7346	73	29	trail	trail	NOUN
fumecheng-7346	73	30	function	function	NOUN
fumecheng-7346	73	31	satisfying	satisfy	VERB
fumecheng-7346	73	32	all	all	DET
fumecheng-7346	73	33	the	the	DET
fumecheng-7346	73	34	boundary	boundary	ADJ
fumecheng-7346	73	35	conditions	condition	NOUN
fumecheng-7346	73	36	mentioned	mention	VERB
fumecheng-7346	73	37	in	in	ADP
fumecheng-7346	73	38	eq	eq	ADP
fumecheng-7346	73	39	.	.	PUNCT
fumecheng-7346	74	1	(	(	PUNCT
fumecheng-7346	74	2	8)	8)	NUM
fumecheng-7346	74	3	.	.	PUNCT
fumecheng-7346	75	1	in	in	ADP
fumecheng-7346	75	2	our	our	PRON
fumecheng-7346	75	3	study	study	NOUN
fumecheng-7346	75	4	,	,	PUNCT
fumecheng-7346	75	5	we	we	PRON
fumecheng-7346	75	6	use	use	VERB
fumecheng-7346	75	7	trail	trail	NOUN
fumecheng-7346	75	8	function	function	NOUN
fumecheng-7346	75	9	suggested	suggest	VERB
fumecheng-7346	75	10	as	as	ADP
fumecheng-7346	75	11	[	[	X
fumecheng-7346	75	12	11	11	NUM
fumecheng-7346	75	13	]	]	SYM
fumecheng-7346	75	14	2	2	NUM
fumecheng-7346	75	15	2	2	NUM
fumecheng-7346	75	16	(	(	PUNCT
fumecheng-7346	75	17	)	)	PUNCT
fumecheng-7346	75	18	16	16	NUM
fumecheng-7346	75	19	(	(	PUNCT
fumecheng-7346	75	20	1	1	NUM
fumecheng-7346	75	21	)	)	PUNCT
fumecheng-7346	75	22			ADJ
fumecheng-7346	75	23			NUM
fumecheng-7346	75	24			NUM
fumecheng-7346	75	25	=	=	NUM
fumecheng-7346	75	26	−	−	PROPN
fumecheng-7346	75	27	(	(	PUNCT
fumecheng-7346	75	28	10	10	NUM
fumecheng-7346	75	29	)	)	PUNCT
fumecheng-7346	75	30	substitute	substitute	NOUN
fumecheng-7346	75	31	eq	eq	NOUN
fumecheng-7346	75	32	.	.	PUNCT
fumecheng-7346	76	1	(	(	PUNCT
fumecheng-7346	76	2	9	9	NUM
fumecheng-7346	76	3	)	)	PUNCT
fumecheng-7346	76	4	into	into	ADP
fumecheng-7346	76	5	eq	eq	NOUN
fumecheng-7346	76	6	.	.	PUNCT
fumecheng-7346	77	1	(	(	PUNCT
fumecheng-7346	77	2	6	6	NUM
fumecheng-7346	77	3	)	)	PUNCT
fumecheng-7346	77	4	and	and	CCONJ
fumecheng-7346	77	5	multiply	multiply	VERB
fumecheng-7346	77	6	the	the	DET
fumecheng-7346	77	7	governing	govern	VERB
fumecheng-7346	77	8	equation	equation	NOUN
fumecheng-7346	77	9	by	by	ADP
fumecheng-7346	77	10	φ(η)(1−w2)2	φ(η)(1−w2)2	ADV
fumecheng-7346	77	11	and	and	CCONJ
fumecheng-7346	77	12	then	then	ADV
fumecheng-7346	77	13	integrate	integrate	VERB
fumecheng-7346	77	14	over	over	ADP
fumecheng-7346	77	15	dimensionless	dimensionless	NOUN
fumecheng-7346	77	16	domain	domain	NOUN
fumecheng-7346	77	17	in	in	ADP
fumecheng-7346	77	18	order	order	NOUN
fumecheng-7346	77	19	to	to	PART
fumecheng-7346	77	20	obtain	obtain	VERB
fumecheng-7346	77	21	1	1	NUM
fumecheng-7346	77	22	1	1	NUM
fumecheng-7346	77	23	2	2	NUM
fumecheng-7346	77	24	2	2	NUM
fumecheng-7346	77	25	2	2	NUM
fumecheng-7346	77	26	2	2	NUM
fumecheng-7346	77	27	2	2	NUM
fumecheng-7346	77	28	2	2	NUM
fumecheng-7346	77	29	2	2	NUM
fumecheng-7346	77	30	0	0	NUM
fumecheng-7346	77	31	0	0	NUM
fumecheng-7346	77	32	1	1	NUM
fumecheng-7346	77	33	1	1	NUM
fumecheng-7346	77	34	1	1	NUM
fumecheng-7346	77	35	2	2	NUM
fumecheng-7346	77	36	2	2	NUM
fumecheng-7346	77	37	2	2	NUM
fumecheng-7346	77	38	2	2	NUM
fumecheng-7346	77	39	2	2	NUM
fumecheng-7346	77	40	0	0	NUM
fumecheng-7346	77	41	0	0	NUM
fumecheng-7346	77	42	0	0	NUM
fumecheng-7346	78	1	(	(	PUNCT
fumecheng-7346	78	2	1	1	NUM
fumecheng-7346	78	3	)	)	PUNCT
fumecheng-7346	78	4	(	(	PUNCT
fumecheng-7346	78	5	1	1	X
fumecheng-7346	78	6	)	)	PUNCT
fumecheng-7346	78	7	(	(	PUNCT
fumecheng-7346	78	8	1	1	NUM
fumecheng-7346	78	9	)	)	PUNCT
fumecheng-7346	78	10	0	0	NUM
fumecheng-7346	79	1	d	d	NOUN
fumecheng-7346	79	2	d	d	PROPN
fumecheng-7346	79	3	w	w	PROPN
fumecheng-7346	79	4	n	n	PROPN
fumecheng-7346	79	5	d	d	PROPN
fumecheng-7346	79	6	d	d	PROPN
fumecheng-7346	79	7	v	v	X
fumecheng-7346	79	8	d	d	X
fumecheng-7346	79	9			ADJ
fumecheng-7346	79	10			ADJ
fumecheng-7346	79	11			NOUN
fumecheng-7346	79	12			ADJ
fumecheng-7346	79	13			PUNCT
fumecheng-7346	79	14			ADJ
fumecheng-7346	79	15			ADJ
fumecheng-7346	79	16			NOUN
fumecheng-7346	79	17			VERB
fumecheng-7346	79	18			PUNCT
fumecheng-7346	79	19			ADJ
fumecheng-7346	79	20			ADJ
fumecheng-7346	79	21			NOUN
fumecheng-7346	79	22			NOUN
fumecheng-7346	79	23			NUM
fumecheng-7346	79	24			ADJ
fumecheng-7346	79	25			ADP
fumecheng-7346	79	26			ADJ
fumecheng-7346	79	27			NOUN
fumecheng-7346	79	28			NUM
fumecheng-7346	79	29			NUM
fumecheng-7346	79	30	−	−	PROPN
fumecheng-7346	79	31	+	+	CCONJ
fumecheng-7346	79	32	−	−	PROPN
fumecheng-7346	79	33	−	−	PROPN
fumecheng-7346	79	34			NOUN
fumecheng-7346	79	35			PROPN
fumecheng-7346	79	36			VERB
fumecheng-7346	79	37	−	−	NOUN
fumecheng-7346	79	38	+	+	CCONJ
fumecheng-7346	79	39	−	−	PROPN
fumecheng-7346	79	40	=	=	SYM
fumecheng-7346	79	41			PROPN
fumecheng-7346	79	42			NOUN
fumecheng-7346	79	43			X
fumecheng-7346	80	1			INTJ
fumecheng-7346	80	2			NOUN
fumecheng-7346	80	3			NOUN
fumecheng-7346	80	4			PUNCT
fumecheng-7346	80	5			X
fumecheng-7346	80	6			X
fumecheng-7346	80	7			X
fumecheng-7346	80	8			PUNCT
fumecheng-7346	80	9	(	(	PUNCT
fumecheng-7346	80	10	11	11	NUM
fumecheng-7346	80	11	)	)	PUNCT
fumecheng-7346	80	12	where	where	SCONJ
fumecheng-7346	80	13	over	over	ADP
fumecheng-7346	80	14	dot	dot	NOUN
fumecheng-7346	80	15	(	(	PUNCT
fumecheng-7346	80	16	)	)	PUNCT
fumecheng-7346	80	17	•	•	NOUN
fumecheng-7346	80	18	represents	represent	VERB
fumecheng-7346	80	19	differentiation	differentiation	NOUN
fumecheng-7346	80	20	with	with	ADP
fumecheng-7346	80	21	respect	respect	NOUN
fumecheng-7346	80	22	to	to	ADP
fumecheng-7346	80	23	time	time	NOUN
fumecheng-7346	80	24	variable	variable	ADJ
fumecheng-7346	80	25	t	t	NOUN
fumecheng-7346	80	26	and	and	CCONJ
fumecheng-7346	80	27	prime	prime	NOUN
fumecheng-7346	80	28	(	(	PUNCT
fumecheng-7346	80	29	)	)	PUNCT
fumecheng-7346	80	30	•	•	PROPN
fumecheng-7346	80	31	represents	represent	VERB
fumecheng-7346	80	32	the	the	DET
fumecheng-7346	80	33	partial	partial	ADJ
fumecheng-7346	80	34	differentiation	differentiation	NOUN
fumecheng-7346	80	35	with	with	ADP
fumecheng-7346	80	36	respect	respect	NOUN
fumecheng-7346	80	37	to	to	PART
fumecheng-7346	80	38	coordinate	coordinate	VERB
fumecheng-7346	80	39	variable	variable	ADJ
fumecheng-7346	80	40	η	η	PROPN
fumecheng-7346	80	41	.	.	PROPN
fumecheng-7346	81	1	eq	eq	PROPN
fumecheng-7346	81	2	.	.	PUNCT
fumecheng-7346	82	1	(	(	PUNCT
fumecheng-7346	82	2	11	11	NUM
fumecheng-7346	82	3	)	)	PUNCT
fumecheng-7346	82	4	can	can	AUX
fumecheng-7346	82	5	be	be	AUX
fumecheng-7346	82	6	rewritten	rewrite	VERB
fumecheng-7346	82	7	as	as	ADP
fumecheng-7346	82	8	2	2	NUM
fumecheng-7346	82	9	4	4	NUM
fumecheng-7346	82	10	3	3	NUM
fumecheng-7346	82	11	5	5	NUM
fumecheng-7346	82	12	7	7	NUM
fumecheng-7346	82	13	0	0	NUM
fumecheng-7346	82	14	1	1	NUM
fumecheng-7346	82	15	2	2	NUM
fumecheng-7346	82	16	3	3	NUM
fumecheng-7346	82	17	4	4	NUM
fumecheng-7346	82	18	5	5	NUM
fumecheng-7346	82	19	6	6	NUM
fumecheng-7346	82	20	(	(	PUNCT
fumecheng-7346	82	21	)	)	PUNCT
fumecheng-7346	82	22	0c	0c	NOUN
fumecheng-7346	82	23	c	c	NOUN
fumecheng-7346	83	1	c	c	NOUN
fumecheng-7346	83	2	c	c	NOUN
fumecheng-7346	83	3	c	c	NOUN
fumecheng-7346	83	4	c	c	X
fumecheng-7346	83	5	c+	c+	NOUN
fumecheng-7346	84	1	+	+	X
fumecheng-7346	85	1	+	+	PUNCT
fumecheng-7346	85	2	+	+	PUNCT
fumecheng-7346	85	3	+	+	CCONJ
fumecheng-7346	85	4	+	+	CCONJ
fumecheng-7346	85	5	=	=	NOUN
fumecheng-7346	85	6			NOUN
fumecheng-7346	85	7			AUX
fumecheng-7346	85	8			VERB
fumecheng-7346	85	9			VERB
fumecheng-7346	85	10			VERB
fumecheng-7346	85	11			VERB
fumecheng-7346	85	12			VERB
fumecheng-7346	85	13	(	(	PUNCT
fumecheng-7346	85	14	12	12	NUM
fumecheng-7346	85	15	)	)	PUNCT
fumecheng-7346	85	16	where	where	SCONJ
fumecheng-7346	85	17	coefficients	coefficient	NOUN
fumecheng-7346	85	18	c0	c0	PROPN
fumecheng-7346	85	19	,	,	PUNCT
fumecheng-7346	85	20	c1	c1	PROPN
fumecheng-7346	85	21	,	,	PUNCT
fumecheng-7346	85	22	…	…	PUNCT
fumecheng-7346	85	23	,	,	PUNCT
fumecheng-7346	85	24	c6	c6	PROPN
fumecheng-7346	85	25	can	can	AUX
fumecheng-7346	85	26	be	be	AUX
fumecheng-7346	85	27	determined	determine	VERB
fumecheng-7346	85	28	as	as	SCONJ
fumecheng-7346	85	29	follows	follow	VERB
fumecheng-7346	85	30	1	1	NUM
fumecheng-7346	85	31	2	2	NUM
fumecheng-7346	85	32	0	0	NUM
fumecheng-7346	85	33	0	0	PUNCT
fumecheng-7346	86	1	c	c	NOUN
fumecheng-7346	86	2	d	d	PROPN
fumecheng-7346	87	1	=	=	NOUN
fumecheng-7346	87	2			ADP
fumecheng-7346	87	3	1	1	NUM
fumecheng-7346	87	4	4	4	NUM
fumecheng-7346	87	5	1	1	NUM
fumecheng-7346	87	6	0	0	NUM
fumecheng-7346	87	7	2c	2c	NUM
fumecheng-7346	87	8	d	d	NOUN
fumecheng-7346	88	1	=	=	NOUN
fumecheng-7346	88	2	−	−	NOUN
fumecheng-7346	88	3			SYM
fumecheng-7346	88	4	1	1	NUM
fumecheng-7346	88	5	6	6	NUM
fumecheng-7346	88	6	2	2	NUM
fumecheng-7346	88	7	0	0	NUM
fumecheng-7346	88	8	c	c	NOUN
fumecheng-7346	88	9	d	d	PROPN
fumecheng-7346	89	1	=	=	NOUN
fumecheng-7346	89	2			NOUN
fumecheng-7346	90	1	1	1	NUM
fumecheng-7346	90	2	2	2	NUM
fumecheng-7346	90	3	2	2	NUM
fumecheng-7346	90	4	3	3	NUM
fumecheng-7346	90	5	0	0	NUM
fumecheng-7346	90	6	(	(	PUNCT
fumecheng-7346	90	7	)	)	PUNCT
fumecheng-7346	90	8	c	c	NOUN
fumecheng-7346	90	9	n	n	SYM
fumecheng-7346	90	10	v	v	NOUN
fumecheng-7346	90	11	d	d	NOUN
fumecheng-7346	90	12	=	=	NOUN
fumecheng-7346	90	13	−	−	NOUN
fumecheng-7346	90	14	−	−	NOUN
fumecheng-7346	90	15			PROPN
fumecheng-7346	90	16			PROPN
fumecheng-7346	90	17			PROPN
fumecheng-7346	90	18			NUM
fumecheng-7346	90	19	li	li	NOUN
fumecheng-7346	90	20	-	-	PROPN
fumecheng-7346	90	21	he	he	PRON
fumecheng-7346	90	22	’s	’	VERB
fumecheng-7346	90	23	modified	modify	VERB
fumecheng-7346	90	24	homotopy	homotopy	NOUN
fumecheng-7346	90	25	perturbation	perturbation	NOUN
fumecheng-7346	90	26	method	method	NOUN
fumecheng-7346	90	27	for	for	ADP
fumecheng-7346	90	28	doubly	doubly	ADV
fumecheng-7346	90	29	-	-	PUNCT
fumecheng-7346	90	30	clamped	clamp	VERB
fumecheng-7346	90	31	electrically	electrically	ADV
fumecheng-7346	90	32	actuated	actuate	VERB
fumecheng-7346	90	33	...	...	PUNCT
fumecheng-7346	91	1	605	605	NUM
fumecheng-7346	91	2	1	1	NUM
fumecheng-7346	91	3	1	1	NUM
fumecheng-7346	91	4	3	3	NUM
fumecheng-7346	91	5	3	3	NUM
fumecheng-7346	91	6	2	2	NUM
fumecheng-7346	91	7	4	4	NUM
fumecheng-7346	91	8	0	0	NUM
fumecheng-7346	91	9	0	0	NUM
fumecheng-7346	91	10	2	2	NUM
fumecheng-7346	91	11	2c	2c	NUM
fumecheng-7346	91	12	n	n	NOUN
fumecheng-7346	91	13	d	d	X
fumecheng-7346	91	14	d	d	X
fumecheng-7346	91	15			PROPN
fumecheng-7346	91	16			PROPN
fumecheng-7346	91	17			PROPN
fumecheng-7346	91	18			ADJ
fumecheng-7346	91	19			ADJ
fumecheng-7346	91	20			NUM
fumecheng-7346	91	21			NUM
fumecheng-7346	91	22			NOUN
fumecheng-7346	91	23			NOUN
fumecheng-7346	91	24			VERB
fumecheng-7346	91	25			PROPN
fumecheng-7346	91	26			ADV
fumecheng-7346	91	27	=	=	ADJ
fumecheng-7346	91	28	−	−	PROPN
fumecheng-7346	92	1	+	+	CCONJ
fumecheng-7346	92	2	−	−	PROPN
fumecheng-7346	92	3			CCONJ
fumecheng-7346	92	4			PROPN
fumecheng-7346	92	5			NOUN
fumecheng-7346	92	6			PUNCT
fumecheng-7346	92	7			SYM
fumecheng-7346	92	8	1	1	NUM
fumecheng-7346	92	9	1	1	NUM
fumecheng-7346	92	10	5	5	NUM
fumecheng-7346	92	11	5	5	NUM
fumecheng-7346	92	12	3	3	NUM
fumecheng-7346	92	13	2	2	NUM
fumecheng-7346	92	14	5	5	NUM
fumecheng-7346	92	15	0	0	NUM
fumecheng-7346	92	16	0	0	NUM
fumecheng-7346	92	17	2c	2c	NUM
fumecheng-7346	92	18	n	n	NOUN
fumecheng-7346	92	19	d	d	X
fumecheng-7346	92	20	d	d	X
fumecheng-7346	92	21			PROPN
fumecheng-7346	92	22			PROPN
fumecheng-7346	92	23			ADJ
fumecheng-7346	92	24			ADJ
fumecheng-7346	92	25			ADJ
fumecheng-7346	92	26			PROPN
fumecheng-7346	92	27			NUM
fumecheng-7346	92	28			NUM
fumecheng-7346	92	29			NOUN
fumecheng-7346	92	30			NOUN
fumecheng-7346	92	31			VERB
fumecheng-7346	92	32			PROPN
fumecheng-7346	92	33			ADV
fumecheng-7346	92	34	=	=	NOUN
fumecheng-7346	92	35	−	−	PUNCT
fumecheng-7346	93	1	+	+	ADJ
fumecheng-7346	93	2			PROPN
fumecheng-7346	93	3			PROPN
fumecheng-7346	93	4			ADJ
fumecheng-7346	93	5			NOUN
fumecheng-7346	93	6			PUNCT
fumecheng-7346	93	7			SYM
fumecheng-7346	93	8	1	1	NUM
fumecheng-7346	93	9	1	1	NUM
fumecheng-7346	93	10	5	5	NUM
fumecheng-7346	93	11	2	2	NUM
fumecheng-7346	93	12	6	6	NUM
fumecheng-7346	93	13	0	0	NUM
fumecheng-7346	93	14	0	0	NUM
fumecheng-7346	93	15	c	c	NOUN
fumecheng-7346	93	16	d	d	NOUN
fumecheng-7346	93	17	d	d	NOUN
fumecheng-7346	93	18			ADJ
fumecheng-7346	93	19			ADJ
fumecheng-7346	93	20			NUM
fumecheng-7346	93	21			NUM
fumecheng-7346	93	22			NOUN
fumecheng-7346	93	23			PROPN
fumecheng-7346	93	24			PROPN
fumecheng-7346	93	25	=	=	PROPN
fumecheng-7346	93	26	−	−	PROPN
fumecheng-7346	94	1			PROPN
fumecheng-7346	94	2			PROPN
fumecheng-7346	95	1			ADJ
fumecheng-7346	95	2			NOUN
fumecheng-7346	95	3			PUNCT
fumecheng-7346	95	4			X
fumecheng-7346	96	1	eq	eq	X
fumecheng-7346	96	2	.	.	PUNCT
fumecheng-7346	97	1	(	(	PUNCT
fumecheng-7346	97	2	12	12	NUM
fumecheng-7346	97	3	)	)	PUNCT
fumecheng-7346	97	4	is	be	AUX
fumecheng-7346	97	5	a	a	DET
fumecheng-7346	97	6	second	second	ADJ
fumecheng-7346	97	7	-	-	PUNCT
fumecheng-7346	97	8	order	order	NOUN
fumecheng-7346	97	9	nonlinear	nonlinear	ADJ
fumecheng-7346	97	10	ordinary	ordinary	ADJ
fumecheng-7346	97	11	differential	differential	ADJ
fumecheng-7346	97	12	equation	equation	NOUN
fumecheng-7346	97	13	and	and	CCONJ
fumecheng-7346	97	14	li	li	PROPN
fumecheng-7346	97	15	-	-	PROPN
fumecheng-7346	97	16	he	he	PRON
fumecheng-7346	97	17	’s	’s	PART
fumecheng-7346	97	18	approach	approach	NOUN
fumecheng-7346	97	19	will	will	AUX
fumecheng-7346	97	20	be	be	AUX
fumecheng-7346	97	21	employed	employ	VERB
fumecheng-7346	97	22	for	for	ADP
fumecheng-7346	97	23	the	the	DET
fumecheng-7346	97	24	solution	solution	NOUN
fumecheng-7346	97	25	under	under	ADP
fumecheng-7346	97	26	the	the	DET
fumecheng-7346	97	27	following	follow	VERB
fumecheng-7346	97	28	initial	initial	ADJ
fumecheng-7346	97	29	conditions	condition	NOUN
fumecheng-7346	97	30	(	(	PUNCT
fumecheng-7346	97	31	0	0	NUM
fumecheng-7346	97	32	)	)	PUNCT
fumecheng-7346	97	33	,	,	PUNCT
fumecheng-7346	97	34	(	(	PUNCT
fumecheng-7346	97	35	0	0	X
fumecheng-7346	97	36	)	)	PUNCT
fumecheng-7346	97	37	0a	0a	NOUN
fumecheng-7346	97	38	=	=	X
fumecheng-7346	97	39	=	=	SYM
fumecheng-7346	97	40	(	(	PUNCT
fumecheng-7346	97	41	13	13	NUM
fumecheng-7346	97	42	)	)	PUNCT
fumecheng-7346	97	43	where	where	SCONJ
fumecheng-7346	97	44	a	a	PRON
fumecheng-7346	97	45	is	be	AUX
fumecheng-7346	97	46	the	the	DET
fumecheng-7346	97	47	initial	initial	ADJ
fumecheng-7346	97	48	amplitude	amplitude	NOUN
fumecheng-7346	97	49	of	of	ADP
fumecheng-7346	97	50	the	the	DET
fumecheng-7346	97	51	nonlinear	nonlinear	ADJ
fumecheng-7346	97	52	oscillatory	oscillatory	ADJ
fumecheng-7346	97	53	system	system	NOUN
fumecheng-7346	97	54	.	.	PUNCT
fumecheng-7346	98	1	3	3	X
fumecheng-7346	98	2	.	.	X
fumecheng-7346	98	3	basic	basic	ADJ
fumecheng-7346	98	4	idea	idea	NOUN
fumecheng-7346	98	5	of	of	ADP
fumecheng-7346	98	6	li	li	PROPN
fumecheng-7346	98	7	-	-	PROPN
fumecheng-7346	98	8	he	he	PRON
fumecheng-7346	98	9	’s	’	VERB
fumecheng-7346	98	10	approach	approach	NOUN
fumecheng-7346	98	11	to	to	PART
fumecheng-7346	98	12	understand	understand	VERB
fumecheng-7346	98	13	the	the	DET
fumecheng-7346	98	14	idea	idea	NOUN
fumecheng-7346	98	15	of	of	ADP
fumecheng-7346	98	16	li	li	PROPN
fumecheng-7346	98	17	-	-	PROPN
fumecheng-7346	98	18	he	he	PRON
fumecheng-7346	98	19	’s	’	VERB
fumecheng-7346	98	20	approach	approach	NOUN
fumecheng-7346	98	21	,	,	PUNCT
fumecheng-7346	98	22	consider	consider	VERB
fumecheng-7346	98	23	the	the	DET
fumecheng-7346	98	24	linear	linear	ADJ
fumecheng-7346	98	25	oscillator	oscillator	NOUN
fumecheng-7346	98	26	2	2	NUM
fumecheng-7346	98	27	0x	0x	NOUN
fumecheng-7346	98	28	x	x	X
fumecheng-7346	99	1	+	+	NOUN
fumecheng-7346	99	2			NOUN
fumecheng-7346	99	3	=	=	SYM
fumecheng-7346	99	4	(	(	PUNCT
fumecheng-7346	99	5	14	14	NUM
fumecheng-7346	99	6	)	)	PUNCT
fumecheng-7346	99	7	where	where	SCONJ
fumecheng-7346	99	8	x	x	PRON
fumecheng-7346	99	9	is	be	AUX
fumecheng-7346	99	10	the	the	DET
fumecheng-7346	99	11	function	function	NOUN
fumecheng-7346	99	12	of	of	ADP
fumecheng-7346	99	13	time	time	NOUN
fumecheng-7346	99	14	t	t	NOUN
fumecheng-7346	99	15	representing	represent	VERB
fumecheng-7346	99	16	the	the	DET
fumecheng-7346	99	17	general	general	ADJ
fumecheng-7346	99	18	displacement	displacement	NOUN
fumecheng-7346	99	19	and	and	CCONJ
fumecheng-7346	99	20	ω	ω	PROPN
fumecheng-7346	99	21	is	be	AUX
fumecheng-7346	99	22	the	the	DET
fumecheng-7346	99	23	angular	angular	ADJ
fumecheng-7346	99	24	frequency	frequency	NOUN
fumecheng-7346	99	25	of	of	ADP
fumecheng-7346	99	26	the	the	DET
fumecheng-7346	99	27	oscillator	oscillator	NOUN
fumecheng-7346	99	28	.	.	PUNCT
fumecheng-7346	100	1	eq	eq	ADJ
fumecheng-7346	100	2	.	.	PUNCT
fumecheng-7346	101	1	(	(	PUNCT
fumecheng-7346	101	2	14	14	NUM
fumecheng-7346	101	3	)	)	PUNCT
fumecheng-7346	101	4	can	can	AUX
fumecheng-7346	101	5	be	be	AUX
fumecheng-7346	101	6	expressed	express	VERB
fumecheng-7346	101	7	in	in	ADP
fumecheng-7346	101	8	an	an	DET
fumecheng-7346	101	9	operator	operator	NOUN
fumecheng-7346	101	10	form	form	NOUN
fumecheng-7346	101	11	as	as	ADP
fumecheng-7346	101	12	2	2	NUM
fumecheng-7346	101	13	2	2	NUM
fumecheng-7346	101	14	(	(	PUNCT
fumecheng-7346	101	15	)	)	PUNCT
fumecheng-7346	101	16	0d	0d	NOUN
fumecheng-7346	101	17	x+	x+	PUNCT
fumecheng-7346	102	1	=	=	PUNCT
fumecheng-7346	102	2	(	(	PUNCT
fumecheng-7346	102	3	15	15	NUM
fumecheng-7346	102	4	)	)	PUNCT
fumecheng-7346	102	5	where	where	SCONJ
fumecheng-7346	102	6	d	d	NOUN
fumecheng-7346	102	7	=	=	SYM
fumecheng-7346	102	8	d	d	NOUN
fumecheng-7346	102	9	/	/	SYM
fumecheng-7346	102	10	dt	dt	NOUN
fumecheng-7346	102	11	is	be	AUX
fumecheng-7346	102	12	a	a	DET
fumecheng-7346	102	13	differential	differential	ADJ
fumecheng-7346	102	14	operator	operator	NOUN
fumecheng-7346	102	15	.	.	PUNCT
fumecheng-7346	103	1	the	the	DET
fumecheng-7346	103	2	enhanced	enhance	VERB
fumecheng-7346	103	3	perturbation	perturbation	NOUN
fumecheng-7346	103	4	method	method	NOUN
fumecheng-7346	103	5	apply	apply	VERB
fumecheng-7346	103	6	annihilator	annihilator	NOUN
fumecheng-7346	103	7	operator	operator	NOUN
fumecheng-7346	103	8	d2+ω2	d2+ω2	ADP
fumecheng-7346	103	9	to	to	ADP
fumecheng-7346	103	10	eq	eq	PROPN
fumecheng-7346	103	11	.	.	PUNCT
fumecheng-7346	104	1	(	(	PUNCT
fumecheng-7346	104	2	15	15	NUM
fumecheng-7346	104	3	)	)	PUNCT
fumecheng-7346	104	4	;	;	PUNCT
fumecheng-7346	104	5	we	we	PRON
fumecheng-7346	104	6	have	have	VERB
fumecheng-7346	104	7	2	2	NUM
fumecheng-7346	104	8	2	2	NUM
fumecheng-7346	104	9	2	2	NUM
fumecheng-7346	104	10	2	2	NUM
fumecheng-7346	104	11	2	2	NUM
fumecheng-7346	104	12	4	4	NUM
fumecheng-7346	104	13	(	(	PUNCT
fumecheng-7346	104	14	)	)	PUNCT
fumecheng-7346	104	15	(	(	PUNCT
fumecheng-7346	104	16	)	)	PUNCT
fumecheng-7346	104	17	2	2	NUM
fumecheng-7346	104	18	0d	0d	NOUN
fumecheng-7346	104	19	d	d	NOUN
fumecheng-7346	104	20	x	x	SYM
fumecheng-7346	104	21	x	x	PUNCT
fumecheng-7346	104	22	x	x	SYM
fumecheng-7346	104	23	x	x	NOUN
fumecheng-7346	104	24	+	+	VERB
fumecheng-7346	104	25	+	+	NOUN
fumecheng-7346	104	26			NOUN
fumecheng-7346	105	1	=	=	PRON
fumecheng-7346	106	1	+	+	NUM
fumecheng-7346	106	2			NUM
fumecheng-7346	107	1	+	+	NUM
fumecheng-7346	107	2			NOUN
fumecheng-7346	107	3	=	=	PUNCT
fumecheng-7346	107	4	(	(	PUNCT
fumecheng-7346	107	5	16	16	NUM
fumecheng-7346	107	6	)	)	PUNCT
fumecheng-7346	107	7	this	this	DET
fumecheng-7346	107	8	method	method	NOUN
fumecheng-7346	107	9	can	can	AUX
fumecheng-7346	107	10	solve	solve	VERB
fumecheng-7346	107	11	a	a	DET
fumecheng-7346	107	12	wide	wide	ADJ
fumecheng-7346	107	13	class	class	NOUN
fumecheng-7346	107	14	of	of	ADP
fumecheng-7346	107	15	non	non	ADJ
fumecheng-7346	107	16	-	-	ADJ
fumecheng-7346	107	17	linear	linear	ADJ
fumecheng-7346	107	18	problems	problem	NOUN
fumecheng-7346	107	19	.	.	PUNCT
fumecheng-7346	108	1	it	it	PRON
fumecheng-7346	108	2	is	be	AUX
fumecheng-7346	108	3	more	more	ADV
fumecheng-7346	108	4	effective	effective	ADJ
fumecheng-7346	108	5	in	in	ADP
fumecheng-7346	108	6	the	the	DET
fumecheng-7346	108	7	case	case	NOUN
fumecheng-7346	108	8	of	of	ADP
fumecheng-7346	108	9	nonlinear	nonlinear	ADJ
fumecheng-7346	108	10	problems	problem	NOUN
fumecheng-7346	108	11	with	with	ADP
fumecheng-7346	108	12	the	the	DET
fumecheng-7346	108	13	forced	force	VERB
fumecheng-7346	108	14	term	term	NOUN
fumecheng-7346	108	15	but	but	CCONJ
fumecheng-7346	108	16	it	it	PRON
fumecheng-7346	108	17	can	can	AUX
fumecheng-7346	108	18	also	also	ADV
fumecheng-7346	108	19	apply	apply	VERB
fumecheng-7346	108	20	to	to	ADP
fumecheng-7346	108	21	the	the	DET
fumecheng-7346	108	22	problems	problem	NOUN
fumecheng-7346	108	23	without	without	ADP
fumecheng-7346	108	24	forced	force	VERB
fumecheng-7346	108	25	term	term	NOUN
fumecheng-7346	108	26	[	[	X
fumecheng-7346	108	27	36	36	NUM
fumecheng-7346	108	28	]	]	PUNCT
fumecheng-7346	108	29	.	.	PUNCT
fumecheng-7346	109	1	after	after	ADP
fumecheng-7346	109	2	applying	apply	VERB
fumecheng-7346	109	3	some	some	DET
fumecheng-7346	109	4	suitable	suitable	ADJ
fumecheng-7346	109	5	substitution	substitution	NOUN
fumecheng-7346	109	6	,	,	PUNCT
fumecheng-7346	109	7	the	the	DET
fumecheng-7346	109	8	eq	eq	NOUN
fumecheng-7346	109	9	.	.	PUNCT
fumecheng-7346	110	1	(	(	PUNCT
fumecheng-7346	110	2	16	16	NUM
fumecheng-7346	110	3	)	)	PUNCT
fumecheng-7346	110	4	is	be	AUX
fumecheng-7346	110	5	a	a	DET
fumecheng-7346	110	6	higher	high	ADJ
fumecheng-7346	110	7	-	-	PUNCT
fumecheng-7346	110	8	order	order	NOUN
fumecheng-7346	110	9	equation	equation	NOUN
fumecheng-7346	110	10	and	and	CCONJ
fumecheng-7346	110	11	can	can	AUX
fumecheng-7346	110	12	be	be	AUX
fumecheng-7346	110	13	rewritten	rewrite	VERB
fumecheng-7346	110	14	into	into	ADP
fumecheng-7346	110	15	linear	linear	PROPN
fumecheng-7346	110	16	ḻ	ḻ	NOUN
fumecheng-7346	110	17	and	and	CCONJ
fumecheng-7346	110	18	nonlinear	nonlinear	ADJ
fumecheng-7346	110	19	ṉ	ṉ	PROPN
fumecheng-7346	110	20	operator	operator	NOUN
fumecheng-7346	110	21	form	form	NOUN
fumecheng-7346	110	22	as	as	ADP
fumecheng-7346	110	23	:	:	PUNCT
fumecheng-7346	110	24	0lx	0lx	ADJ
fumecheng-7346	110	25	nx+	nx+	NOUN
fumecheng-7346	111	1	=	=	X
fumecheng-7346	111	2	(	(	PUNCT
fumecheng-7346	111	3	17	17	NUM
fumecheng-7346	111	4	)	)	PUNCT
fumecheng-7346	111	5	we	we	PRON
fumecheng-7346	111	6	can	can	AUX
fumecheng-7346	111	7	construct	construct	VERB
fumecheng-7346	111	8	the	the	DET
fumecheng-7346	111	9	homotopy	homotopy	NOUN
fumecheng-7346	111	10	equation	equation	NOUN
fumecheng-7346	111	11	for	for	ADP
fumecheng-7346	111	12	eq	eq	PROPN
fumecheng-7346	111	13	.	.	PUNCT
fumecheng-7346	112	1	(	(	PUNCT
fumecheng-7346	112	2	17	17	NUM
fumecheng-7346	112	3	)	)	PUNCT
fumecheng-7346	112	4	as	as	ADP
fumecheng-7346	112	5	0	0	NUM
fumecheng-7346	112	6	(	(	PUNCT
fumecheng-7346	112	7	,	,	PUNCT
fumecheng-7346	112	8	)	)	PUNCT
fumecheng-7346	112	9	(	(	PUNCT
fumecheng-7346	112	10	1	1	X
fumecheng-7346	112	11	)	)	PUNCT
fumecheng-7346	112	12	[	[	PUNCT
fumecheng-7346	112	13	(	(	PUNCT
fumecheng-7346	112	14	)	)	PUNCT
fumecheng-7346	112	15	(	(	PUNCT
fumecheng-7346	112	16	)	)	PUNCT
fumecheng-7346	112	17	]	]	PUNCT
fumecheng-7346	113	1	[	[	PUNCT
fumecheng-7346	113	2	(	(	PUNCT
fumecheng-7346	113	3	)	)	PUNCT
fumecheng-7346	113	4	(	(	PUNCT
fumecheng-7346	113	5	)	)	PUNCT
fumecheng-7346	113	6	]	]	X
fumecheng-7346	113	7	0	0	NUM
fumecheng-7346	113	8	,	,	PUNCT
fumecheng-7346	113	9	[	[	X
fumecheng-7346	113	10	0,1]h	0,1]h	NUM
fumecheng-7346	113	11	q	q	NOUN
fumecheng-7346	113	12	q	q	X
fumecheng-7346	113	13	l	l	NOUN
fumecheng-7346	113	14	l	l	NOUN
fumecheng-7346	113	15	q	q	X
fumecheng-7346	113	16	l	l	NOUN
fumecheng-7346	113	17	n	n	ADP
fumecheng-7346	113	18	q	q	NOUN
fumecheng-7346	113	19			NOUN
fumecheng-7346	113	20			NOUN
fumecheng-7346	113	21			NOUN
fumecheng-7346	113	22	=	=	NUM
fumecheng-7346	113	23	−	−	ADP
fumecheng-7346	113	24	−	−	PROPN
fumecheng-7346	114	1	+	+	CCONJ
fumecheng-7346	114	2	+	+	CCONJ
fumecheng-7346	114	3	=	=	NOUN
fumecheng-7346	114	4			NOUN
fumecheng-7346	114	5	(	(	PUNCT
fumecheng-7346	114	6	18	18	NUM
fumecheng-7346	114	7	)	)	PUNCT
fumecheng-7346	114	8	where	where	SCONJ
fumecheng-7346	114	9	q	q	NOUN
fumecheng-7346	114	10	is	be	AUX
fumecheng-7346	114	11	embedding	embed	VERB
fumecheng-7346	114	12	parameter	parameter	NOUN
fumecheng-7346	114	13	and	and	CCONJ
fumecheng-7346	114	14	ξ0	ξ0	NOUN
fumecheng-7346	114	15	is	be	AUX
fumecheng-7346	114	16	initial	initial	ADJ
fumecheng-7346	114	17	solution	solution	NOUN
fumecheng-7346	114	18	of	of	ADP
fumecheng-7346	114	19	eq	eq	PROPN
fumecheng-7346	114	20	.	.	PUNCT
fumecheng-7346	115	1	(	(	PUNCT
fumecheng-7346	115	2	17	17	NUM
fumecheng-7346	115	3	)	)	PUNCT
fumecheng-7346	115	4	.	.	PUNCT
fumecheng-7346	116	1	it	it	PRON
fumecheng-7346	116	2	is	be	AUX
fumecheng-7346	116	3	clear	clear	ADJ
fumecheng-7346	116	4	from	from	ADP
fumecheng-7346	116	5	eq	eq	ADP
fumecheng-7346	116	6	.	.	PUNCT
fumecheng-7346	117	1	(	(	PUNCT
fumecheng-7346	117	2	8)	8)	NUM
fumecheng-7346	117	3	0	0	NUM
fumecheng-7346	117	4	(	(	PUNCT
fumecheng-7346	117	5	,	,	PUNCT
fumecheng-7346	117	6	0	0	NUM
fumecheng-7346	117	7	)	)	PUNCT
fumecheng-7346	117	8	(	(	PUNCT
fumecheng-7346	117	9	)	)	PUNCT
fumecheng-7346	117	10	(	(	PUNCT
fumecheng-7346	117	11	)	)	PUNCT
fumecheng-7346	117	12	0h	0h	PROPN
fumecheng-7346	117	13	l	l	NOUN
fumecheng-7346	117	14	l	l	PUNCT
fumecheng-7346	117	15			NOUN
fumecheng-7346	117	16	=	=	NOUN
fumecheng-7346	117	17	−	−	PROPN
fumecheng-7346	117	18	=	=	SYM
fumecheng-7346	117	19	(	(	PUNCT
fumecheng-7346	117	20	19	19	NUM
fumecheng-7346	117	21	)	)	PUNCT
fumecheng-7346	117	22	(	(	PUNCT
fumecheng-7346	117	23	,	,	PUNCT
fumecheng-7346	117	24	1	1	X
fumecheng-7346	117	25	)	)	PUNCT
fumecheng-7346	117	26	(	(	PUNCT
fumecheng-7346	117	27	)	)	PUNCT
fumecheng-7346	117	28	(	(	PUNCT
fumecheng-7346	117	29	)	)	PUNCT
fumecheng-7346	117	30	0h	0h	PROPN
fumecheng-7346	117	31	l	l	NOUN
fumecheng-7346	117	32	n	n	AUX
fumecheng-7346	117	33			NOUN
fumecheng-7346	117	34	=	=	NOUN
fumecheng-7346	117	35	+	+	X
fumecheng-7346	117	36	=	=	SYM
fumecheng-7346	117	37	(	(	PUNCT
fumecheng-7346	117	38	20	20	NUM
fumecheng-7346	117	39	)	)	PUNCT
fumecheng-7346	117	40	606	606	NUM
fumecheng-7346	117	41	n.	n.	NOUN
fumecheng-7346	117	42	anjum	anjum	PROPN
fumecheng-7346	117	43	,	,	PUNCT
fumecheng-7346	117	44	j.-h	j.-h	PROPN
fumecheng-7346	117	45	.	.	PUNCT
fumecheng-7346	118	1	he	he	PRON
fumecheng-7346	118	2	,	,	PUNCT
fumecheng-7346	118	3	q.	q.	PROPN
fumecheng-7346	118	4	t.	t.	PROPN
fumecheng-7346	118	5	ain	ain	PROPN
fumecheng-7346	118	6	,	,	PUNCT
fumecheng-7346	118	7	d.	d.	PROPN
fumecheng-7346	118	8	tian	tian	PROPN
fumecheng-7346	118	9	hpm	hpm	PROPN
fumecheng-7346	118	10	uses	use	VERB
fumecheng-7346	118	11	embedding	embed	VERB
fumecheng-7346	118	12	parameter	parameter	NOUN
fumecheng-7346	118	13	q	q	PROPN
fumecheng-7346	118	14	as	as	ADP
fumecheng-7346	118	15	an	an	DET
fumecheng-7346	118	16	expanding	expand	VERB
fumecheng-7346	118	17	parameter	parameter	NOUN
fumecheng-7346	118	18	[	[	X
fumecheng-7346	118	19	19	19	NUM
fumecheng-7346	118	20	]	]	PUNCT
fumecheng-7346	118	21	,	,	PUNCT
fumecheng-7346	118	22	and	and	CCONJ
fumecheng-7346	118	23	basic	basic	ADJ
fumecheng-7346	118	24	assumption	assumption	NOUN
fumecheng-7346	118	25	is	be	AUX
fumecheng-7346	118	26	that	that	SCONJ
fumecheng-7346	118	27	the	the	DET
fumecheng-7346	118	28	solution	solution	NOUN
fumecheng-7346	118	29	of	of	ADP
fumecheng-7346	118	30	eq	eq	PROPN
fumecheng-7346	118	31	.	.	PUNCT
fumecheng-7346	119	1	(	(	PUNCT
fumecheng-7346	119	2	17	17	NUM
fumecheng-7346	119	3	)	)	PUNCT
fumecheng-7346	119	4	can	can	AUX
fumecheng-7346	119	5	be	be	AUX
fumecheng-7346	119	6	specified	specify	VERB
fumecheng-7346	119	7	as	as	ADP
fumecheng-7346	119	8	a	a	DET
fumecheng-7346	119	9	power	power	NOUN
fumecheng-7346	119	10	series	series	NOUN
fumecheng-7346	119	11	in	in	ADP
fumecheng-7346	119	12	q	q	NOUN
fumecheng-7346	119	13	:	:	PUNCT
fumecheng-7346	119	14	2	2	NUM
fumecheng-7346	119	15	3	3	NUM
fumecheng-7346	119	16	4	4	NUM
fumecheng-7346	119	17	0	0	NUM
fumecheng-7346	119	18	1	1	NUM
fumecheng-7346	119	19	2	2	NUM
fumecheng-7346	119	20	3	3	NUM
fumecheng-7346	119	21	4q	4q	NOUN
fumecheng-7346	119	22	q	q	NOUN
fumecheng-7346	119	23	q	q	NOUN
fumecheng-7346	120	1	q	q	INTJ
fumecheng-7346	120	2			NOUN
fumecheng-7346	120	3			NOUN
fumecheng-7346	120	4			NOUN
fumecheng-7346	120	5			X
fumecheng-7346	120	6	=	=	NOUN
fumecheng-7346	120	7	+	+	PUNCT
fumecheng-7346	121	1	+	+	PUNCT
fumecheng-7346	122	1	+	+	PUNCT
fumecheng-7346	123	1	+	+	PUNCT
fumecheng-7346	123	2	+	+	CCONJ
fumecheng-7346	123	3	(	(	PUNCT
fumecheng-7346	123	4	21	21	NUM
fumecheng-7346	123	5	)	)	PUNCT
fumecheng-7346	123	6	setting	set	VERB
fumecheng-7346	123	7	q=1	q=1	X
fumecheng-7346	123	8	results	result	NOUN
fumecheng-7346	123	9	in	in	ADP
fumecheng-7346	123	10	the	the	DET
fumecheng-7346	123	11	approximate	approximate	ADJ
fumecheng-7346	123	12	analytic	analytic	ADJ
fumecheng-7346	123	13	solution	solution	NOUN
fumecheng-7346	123	14	of	of	ADP
fumecheng-7346	123	15	eq	eq	PROPN
fumecheng-7346	123	16	.	.	PUNCT
fumecheng-7346	124	1	(	(	PUNCT
fumecheng-7346	124	2	17	17	NUM
fumecheng-7346	124	3	)	)	PUNCT
fumecheng-7346	124	4	0	0	NUM
fumecheng-7346	124	5	1	1	NUM
fumecheng-7346	124	6	2	2	NUM
fumecheng-7346	124	7	3	3	NUM
fumecheng-7346	124	8	4	4	NUM
fumecheng-7346	124	9	1	1	NUM
fumecheng-7346	124	10	lim	lim	NOUN
fumecheng-7346	124	11	q	q	NOUN
fumecheng-7346	124	12	x	x	NOUN
fumecheng-7346	124	13			PRON
fumecheng-7346	124	14			NOUN
fumecheng-7346	124	15			NOUN
fumecheng-7346	124	16			NOUN
fumecheng-7346	124	17			NOUN
fumecheng-7346	124	18			X
fumecheng-7346	124	19	→	→	SYM
fumecheng-7346	124	20	=	=	SYM
fumecheng-7346	124	21	=	=	PUNCT
fumecheng-7346	125	1	+	+	PUNCT
fumecheng-7346	126	1	+	+	PUNCT
fumecheng-7346	126	2	+	+	PUNCT
fumecheng-7346	126	3	+	+	PUNCT
fumecheng-7346	126	4	+	+	CCONJ
fumecheng-7346	126	5	(	(	PUNCT
fumecheng-7346	126	6	22	22	NUM
fumecheng-7346	126	7	)	)	PUNCT
fumecheng-7346	126	8	4	4	NUM
fumecheng-7346	126	9	.	.	PUNCT
fumecheng-7346	126	10	solution	solution	NOUN
fumecheng-7346	126	11	of	of	ADP
fumecheng-7346	126	12	model	model	NOUN
fumecheng-7346	126	13	problem	problem	NOUN
fumecheng-7346	126	14	to	to	PART
fumecheng-7346	126	15	apply	apply	VERB
fumecheng-7346	126	16	li	li	PROPN
fumecheng-7346	126	17	-	-	PUNCT
fumecheng-7346	126	18	he	he	PRON
fumecheng-7346	126	19	’s	’s	PART
fumecheng-7346	126	20	technique	technique	NOUN
fumecheng-7346	126	21	discussed	discuss	VERB
fumecheng-7346	126	22	in	in	ADP
fumecheng-7346	126	23	the	the	DET
fumecheng-7346	126	24	above	above	ADJ
fumecheng-7346	126	25	section	section	NOUN
fumecheng-7346	126	26	,	,	PUNCT
fumecheng-7346	126	27	eq	eq	NOUN
fumecheng-7346	126	28	.	.	PUNCT
fumecheng-7346	127	1	(	(	PUNCT
fumecheng-7346	127	2	12	12	NUM
fumecheng-7346	127	3	)	)	PUNCT
fumecheng-7346	127	4	can	can	AUX
fumecheng-7346	127	5	be	be	AUX
fumecheng-7346	127	6	expressed	express	VERB
fumecheng-7346	127	7	in	in	ADP
fumecheng-7346	127	8	the	the	DET
fumecheng-7346	127	9	form	form	NOUN
fumecheng-7346	127	10	2	2	NUM
fumecheng-7346	127	11	4	4	NUM
fumecheng-7346	127	12	3	3	NUM
fumecheng-7346	127	13	5	5	NUM
fumecheng-7346	127	14	7	7	NUM
fumecheng-7346	127	15	1	1	NUM
fumecheng-7346	127	16	2	2	NUM
fumecheng-7346	127	17	3	3	NUM
fumecheng-7346	127	18	4	4	NUM
fumecheng-7346	127	19	5	5	NUM
fumecheng-7346	127	20	6(1	6(1	NUM
fumecheng-7346	127	21	)	)	PUNCT
fumecheng-7346	128	1	0b	0b	PROPN
fumecheng-7346	128	2	b	b	PROPN
fumecheng-7346	128	3	b	b	PROPN
fumecheng-7346	128	4	b	b	PROPN
fumecheng-7346	128	5	b	b	PROPN
fumecheng-7346	128	6	b+	b+	NOUN
fumecheng-7346	128	7	+	+	X
fumecheng-7346	129	1	+	+	PUNCT
fumecheng-7346	129	2	+	+	PUNCT
fumecheng-7346	129	3	+	+	CCONJ
fumecheng-7346	129	4	+	+	CCONJ
fumecheng-7346	129	5	=	=	NOUN
fumecheng-7346	129	6			NOUN
fumecheng-7346	129	7			AUX
fumecheng-7346	129	8			VERB
fumecheng-7346	129	9			VERB
fumecheng-7346	129	10			VERB
fumecheng-7346	129	11			VERB
fumecheng-7346	129	12			VERB
fumecheng-7346	129	13	(	(	PUNCT
fumecheng-7346	129	14	23	23	NUM
fumecheng-7346	129	15	)	)	PUNCT
fumecheng-7346	130	1	where	where	SCONJ
fumecheng-7346	130	2	0	0	NUM
fumecheng-7346	130	3	(	(	PUNCT
fumecheng-7346	130	4	1,2	1,2	NUM
fumecheng-7346	130	5	,	,	PUNCT
fumecheng-7346	130	6	,	,	PUNCT
fumecheng-7346	130	7	6	6	NUM
fumecheng-7346	130	8	)	)	PUNCT
fumecheng-7346	130	9	j	j	PROPN
fumecheng-7346	131	1	j	j	PROPN
fumecheng-7346	131	2	c	c	PROPN
fumecheng-7346	131	3	b	b	PROPN
fumecheng-7346	131	4	j	j	PROPN
fumecheng-7346	131	5	c	c	NOUN
fumecheng-7346	131	6	=	=	SYM
fumecheng-7346	132	1	=	=	PUNCT
fumecheng-7346	132	2	.	.	PUNCT
fumecheng-7346	133	1	to	to	PART
fumecheng-7346	133	2	reveal	reveal	VERB
fumecheng-7346	133	3	the	the	DET
fumecheng-7346	133	4	solution	solution	NOUN
fumecheng-7346	133	5	process	process	NOUN
fumecheng-7346	133	6	,	,	PUNCT
fumecheng-7346	133	7	consider	consider	VERB
fumecheng-7346	133	8	eq	eq	ADJ
fumecheng-7346	133	9	.	.	PUNCT
fumecheng-7346	134	1	(	(	PUNCT
fumecheng-7346	134	2	23	23	NUM
fumecheng-7346	134	3	)	)	PUNCT
fumecheng-7346	134	4	which	which	PRON
fumecheng-7346	134	5	is	be	AUX
fumecheng-7346	134	6	hard	hard	ADJ
fumecheng-7346	134	7	to	to	PART
fumecheng-7346	134	8	be	be	AUX
fumecheng-7346	134	9	resolved	resolve	VERB
fumecheng-7346	135	1	analytically	analytically	ADV
fumecheng-7346	135	2	specially	specially	ADV
fumecheng-7346	135	3	when	when	SCONJ
fumecheng-7346	135	4	b1=−1	b1=−1	NOUN
fumecheng-7346	135	5	,	,	PUNCT
fumecheng-7346	135	6	because	because	SCONJ
fumecheng-7346	135	7	the	the	DET
fumecheng-7346	135	8	linear	linear	ADJ
fumecheng-7346	135	9	part	part	NOUN
fumecheng-7346	135	10	has	have	VERB
fumecheng-7346	135	11	the	the	DET
fumecheng-7346	135	12	form	form	NOUN
fumecheng-7346	135	13	0	0	PRON
fumecheng-7346	135	14			ADV
fumecheng-7346	135	15	−	−	PROPN
fumecheng-7346	135	16	=	=	PUNCT
fumecheng-7346	135	17	which	which	PRON
fumecheng-7346	135	18	has	have	VERB
fumecheng-7346	135	19	no	no	DET
fumecheng-7346	135	20	periodic	periodic	ADJ
fumecheng-7346	135	21	solution	solution	NOUN
fumecheng-7346	135	22	.	.	PUNCT
fumecheng-7346	136	1	we	we	PRON
fumecheng-7346	136	2	express	express	VERB
fumecheng-7346	136	3	eq	eq	ADP
fumecheng-7346	136	4	.	.	PUNCT
fumecheng-7346	137	1	(	(	PUNCT
fumecheng-7346	137	2	23	23	NUM
fumecheng-7346	137	3	)	)	PUNCT
fumecheng-7346	137	4	in	in	ADP
fumecheng-7346	137	5	an	an	DET
fumecheng-7346	137	6	operator	operator	NOUN
fumecheng-7346	137	7	form	form	NOUN
fumecheng-7346	137	8	as	as	ADP
fumecheng-7346	137	9	2	2	NUM
fumecheng-7346	137	10	3	3	NUM
fumecheng-7346	137	11	2	2	NUM
fumecheng-7346	137	12	4	4	NUM
fumecheng-7346	137	13	6	6	NUM
fumecheng-7346	137	14	1	1	NUM
fumecheng-7346	137	15	2	2	NUM
fumecheng-7346	137	16	3	3	NUM
fumecheng-7346	137	17	4	4	NUM
fumecheng-7346	137	18	5	5	NUM
fumecheng-7346	137	19	6	6	NUM
fumecheng-7346	137	20	[	[	PUNCT
fumecheng-7346	137	21	(	(	PUNCT
fumecheng-7346	137	22	1	1	NUM
fumecheng-7346	137	23	)	)	PUNCT
fumecheng-7346	137	24	]	]	PUNCT
fumecheng-7346	138	1	0d	0d	PROPN
fumecheng-7346	138	2	b	b	PROPN
fumecheng-7346	138	3	b	b	PROPN
fumecheng-7346	138	4	b	b	PROPN
fumecheng-7346	138	5	b	b	PROPN
fumecheng-7346	138	6	b	b	PROPN
fumecheng-7346	138	7	b+	b+	X
fumecheng-7346	138	8	+	+	X
fumecheng-7346	139	1	+	+	PUNCT
fumecheng-7346	139	2	+	+	PUNCT
fumecheng-7346	139	3	+	+	CCONJ
fumecheng-7346	139	4	+	+	CCONJ
fumecheng-7346	139	5	=	=	NOUN
fumecheng-7346	139	6			NOUN
fumecheng-7346	139	7			VERB
fumecheng-7346	139	8			VERB
fumecheng-7346	139	9			VERB
fumecheng-7346	139	10			VERB
fumecheng-7346	139	11			VERB
fumecheng-7346	139	12	(	(	PUNCT
fumecheng-7346	139	13	24	24	NUM
fumecheng-7346	139	14	)	)	PUNCT
fumecheng-7346	139	15	according	accord	VERB
fumecheng-7346	139	16	to	to	ADP
fumecheng-7346	139	17	the	the	DET
fumecheng-7346	139	18	enhanced	enhanced	ADJ
fumecheng-7346	139	19	perturbation	perturbation	NOUN
fumecheng-7346	139	20	method	method	NOUN
fumecheng-7346	139	21	[	[	X
fumecheng-7346	139	22	36	36	NUM
fumecheng-7346	139	23	]	]	PUNCT
fumecheng-7346	139	24	,	,	PUNCT
fumecheng-7346	139	25	we	we	PRON
fumecheng-7346	139	26	put	put	VERB
fumecheng-7346	139	27	on	on	ADP
fumecheng-7346	139	28	the	the	DET
fumecheng-7346	139	29	annihilator	annihilator	PROPN
fumecheng-7346	139	30	operators	operator	NOUN
fumecheng-7346	139	31	d2	d2	VERB
fumecheng-7346	139	32	+	+	PROPN
fumecheng-7346	139	33	1	1	NUM
fumecheng-7346	139	34	to	to	ADP
fumecheng-7346	139	35	eq	eq	NOUN
fumecheng-7346	139	36	.	.	PUNCT
fumecheng-7346	140	1	(	(	PUNCT
fumecheng-7346	140	2	14	14	NUM
fumecheng-7346	140	3	)	)	SYM
fumecheng-7346	140	4	2	2	NUM
fumecheng-7346	140	5	2	2	NUM
fumecheng-7346	140	6	3	3	NUM
fumecheng-7346	140	7	2	2	NUM
fumecheng-7346	140	8	4	4	NUM
fumecheng-7346	140	9	6	6	NUM
fumecheng-7346	140	10	1	1	NUM
fumecheng-7346	140	11	2	2	NUM
fumecheng-7346	140	12	3	3	NUM
fumecheng-7346	140	13	4	4	NUM
fumecheng-7346	140	14	5	5	NUM
fumecheng-7346	140	15	6	6	NUM
fumecheng-7346	140	16	(	(	PUNCT
fumecheng-7346	140	17	1	1	NUM
fumecheng-7346	140	18	)	)	PUNCT
fumecheng-7346	140	19	(	(	PUNCT
fumecheng-7346	140	20	1	1	X
fumecheng-7346	140	21	)	)	PUNCT
fumecheng-7346	140	22	0d	0d	X
fumecheng-7346	141	1	d	d	PROPN
fumecheng-7346	141	2	b	b	X
fumecheng-7346	141	3	b	b	PROPN
fumecheng-7346	141	4	b	b	PROPN
fumecheng-7346	141	5	b	b	PROPN
fumecheng-7346	141	6	b	b	PROPN
fumecheng-7346	141	7	b	b	NOUN
fumecheng-7346	141	8	+	+	NOUN
fumecheng-7346	141	9	+	+	CCONJ
fumecheng-7346	141	10	+	+	PUNCT
fumecheng-7346	142	1	+	+	PUNCT
fumecheng-7346	142	2	+	+	PUNCT
fumecheng-7346	142	3	+	+	CCONJ
fumecheng-7346	142	4	+	+	CCONJ
fumecheng-7346	142	5	=	=	ADJ
fumecheng-7346	142	6			NOUN
fumecheng-7346	142	7			NOUN
fumecheng-7346	142	8			NOUN
fumecheng-7346	142	9			ADJ
fumecheng-7346	142	10			VERB
fumecheng-7346	142	11			VERB
fumecheng-7346	142	12			VERB
fumecheng-7346	142	13	(	(	PUNCT
fumecheng-7346	142	14	25	25	NUM
fumecheng-7346	142	15	)	)	PUNCT
fumecheng-7346	142	16	by	by	ADP
fumecheng-7346	142	17	applying	apply	VERB
fumecheng-7346	142	18	the	the	DET
fumecheng-7346	142	19	annihilator	annihilator	PROPN
fumecheng-7346	142	20	operators	operator	NOUN
fumecheng-7346	142	21	,	,	PUNCT
fumecheng-7346	142	22	a	a	DET
fumecheng-7346	142	23	higher	high	ADJ
fumecheng-7346	142	24	-	-	PUNCT
fumecheng-7346	142	25	order	order	NOUN
fumecheng-7346	142	26	differential	differential	ADJ
fumecheng-7346	142	27	equation	equation	NOUN
fumecheng-7346	142	28	of	of	ADP
fumecheng-7346	142	29	eq	eq	PROPN
fumecheng-7346	142	30	.	.	PUNCT
fumecheng-7346	143	1	(	(	PUNCT
fumecheng-7346	143	2	24	24	NUM
fumecheng-7346	143	3	)	)	PUNCT
fumecheng-7346	143	4	can	can	AUX
fumecheng-7346	143	5	be	be	AUX
fumecheng-7346	143	6	written	write	VERB
fumecheng-7346	143	7	as	as	ADP
fumecheng-7346	143	8	2	2	NUM
fumecheng-7346	143	9	3	3	NUM
fumecheng-7346	143	10	5	5	NUM
fumecheng-7346	143	11	7	7	NUM
fumecheng-7346	143	12	2	2	NUM
fumecheng-7346	143	13	4	4	NUM
fumecheng-7346	143	14	2	2	NUM
fumecheng-7346	143	15	3	3	NUM
fumecheng-7346	143	16	3	3	NUM
fumecheng-7346	143	17	4	4	NUM
fumecheng-7346	143	18	3	3	NUM
fumecheng-7346	143	19	5	5	NUM
fumecheng-7346	143	20	3	3	NUM
fumecheng-7346	143	21	6	6	NUM
fumecheng-7346	143	22	1	1	NUM
fumecheng-7346	143	23	3	3	NUM
fumecheng-7346	143	24	2	2	NUM
fumecheng-7346	143	25	3	3	NUM
fumecheng-7346	143	26	4	4	NUM
fumecheng-7346	143	27	2	2	NUM
fumecheng-7346	143	28	3	3	NUM
fumecheng-7346	143	29	2	2	NUM
fumecheng-7346	143	30	4	4	NUM
fumecheng-7346	143	31	5	5	NUM
fumecheng-7346	143	32	2	2	NUM
fumecheng-7346	143	33	6	6	NUM
fumecheng-7346	143	34	2	2	NUM
fumecheng-7346	143	35	2	2	NUM
fumecheng-7346	143	36	5	5	NUM
fumecheng-7346	143	37	6	6	NUM
fumecheng-7346	143	38	1	1	NUM
fumecheng-7346	143	39	2	2	NUM
fumecheng-7346	143	40	2	2	NUM
fumecheng-7346	143	41	2	2	NUM
fumecheng-7346	143	42	3	3	NUM
fumecheng-7346	143	43	2	2	NUM
fumecheng-7346	143	44	3	3	NUM
fumecheng-7346	143	45	4	4	NUM
fumecheng-7346	143	46	2	2	NUM
fumecheng-7346	143	47	(	(	PUNCT
fumecheng-7346	143	48	6	6	NUM
fumecheng-7346	143	49	3	3	NUM
fumecheng-7346	143	50	)	)	PUNCT
fumecheng-7346	143	51	(	(	PUNCT
fumecheng-7346	143	52	20	20	NUM
fumecheng-7346	143	53	5	5	NUM
fumecheng-7346	143	54	)	)	PUNCT
fumecheng-7346	143	55	(	(	PUNCT
fumecheng-7346	143	56	42	42	NUM
fumecheng-7346	143	57	7	7	NUM
fumecheng-7346	143	58	)	)	PUNCT
fumecheng-7346	143	59	(	(	PUNCT
fumecheng-7346	143	60	2	2	NUM
fumecheng-7346	143	61	2	2	NUM
fumecheng-7346	143	62	4	4	NUM
fumecheng-7346	143	63	)	)	PUNCT
fumecheng-7346	143	64	(	(	PUNCT
fumecheng-7346	143	65	12	12	NUM
fumecheng-7346	143	66	4	4	NUM
fumecheng-7346	143	67	8	8	NUM
fumecheng-7346	143	68	)	)	PUNCT
fumecheng-7346	143	69	0	0	NUM
fumecheng-7346	144	1	b	b	X
fumecheng-7346	144	2	b	b	PROPN
fumecheng-7346	144	3	b	b	PROPN
fumecheng-7346	144	4	b	b	PROPN
fumecheng-7346	144	5	b	b	PROPN
fumecheng-7346	144	6	b	b	PROPN
fumecheng-7346	144	7	b	b	PROPN
fumecheng-7346	144	8	b	b	PROPN
fumecheng-7346	144	9	b	b	PROPN
fumecheng-7346	144	10	b	b	PROPN
fumecheng-7346	144	11	b	b	PROPN
fumecheng-7346	144	12	b	b	PROPN
fumecheng-7346	144	13	b	b	PROPN
fumecheng-7346	144	14	b	b	PROPN
fumecheng-7346	144	15	b	b	PROPN
fumecheng-7346	144	16	b	b	PROPN
fumecheng-7346	144	17			X
fumecheng-7346	144	18			PROPN
fumecheng-7346	144	19			PROPN
fumecheng-7346	144	20	−	−	PUNCT
fumecheng-7346	144	21	−	−	PROPN
fumecheng-7346	144	22	−	−	PROPN
fumecheng-7346	144	23	−	−	PROPN
fumecheng-7346	144	24	−	−	NOUN
fumecheng-7346	144	25	−	−	PROPN
fumecheng-7346	145	1	+	+	CCONJ
fumecheng-7346	145	2	+	+	CCONJ
fumecheng-7346	145	3			PROPN
fumecheng-7346	145	4			PROPN
fumecheng-7346	145	5			PROPN
fumecheng-7346	145	6			ADV
fumecheng-7346	145	7			PROPN
fumecheng-7346	145	8			CCONJ
fumecheng-7346	145	9			X
fumecheng-7346	145	10	+	+	PROPN
fumecheng-7346	145	11	+	+	X
fumecheng-7346	145	12	+	+	PUNCT
fumecheng-7346	146	1	+	+	PUNCT
fumecheng-7346	146	2	+	+	CCONJ
fumecheng-7346	146	3	+	+	NUM
fumecheng-7346	146	4			ADJ
fumecheng-7346	146	5			NOUN
fumecheng-7346	146	6			X
fumecheng-7346	146	7			ADP
fumecheng-7346	146	8			PROPN
fumecheng-7346	146	9			PROPN
fumecheng-7346	146	10			ADJ
fumecheng-7346	146	11			NOUN
fumecheng-7346	146	12	+	+	PROPN
fumecheng-7346	146	13	+	+	CCONJ
fumecheng-7346	147	1	+	+	PUNCT
fumecheng-7346	148	1	+	+	PUNCT
fumecheng-7346	148	2	+	+	CCONJ
fumecheng-7346	148	3	+	+	CCONJ
fumecheng-7346	148	4	=	=	NOUN
fumecheng-7346	148	5			NOUN
fumecheng-7346	148	6			AUX
fumecheng-7346	148	7			VERB
fumecheng-7346	148	8			NOUN
fumecheng-7346	148	9			NOUN
fumecheng-7346	148	10			ADJ
fumecheng-7346	148	11			NOUN
fumecheng-7346	148	12			NOUN
fumecheng-7346	148	13			NOUN
fumecheng-7346	148	14			PROPN
fumecheng-7346	148	15			NOUN
fumecheng-7346	148	16			NOUN
fumecheng-7346	148	17			VERB
fumecheng-7346	148	18			VERB
fumecheng-7346	148	19			VERB
fumecheng-7346	148	20			VERB
fumecheng-7346	148	21			VERB
fumecheng-7346	148	22			VERB
fumecheng-7346	148	23			VERB
fumecheng-7346	148	24			VERB
fumecheng-7346	148	25			VERB
fumecheng-7346	148	26			VERB
fumecheng-7346	148	27			PART
fumecheng-7346	149	1			PROPN
fumecheng-7346	149	2			NOUN
fumecheng-7346	149	3			AUX
fumecheng-7346	149	4			VERB
fumecheng-7346	149	5			VERB
fumecheng-7346	149	6			VERB
fumecheng-7346	149	7			VERB
fumecheng-7346	149	8			VERB
fumecheng-7346	149	9			VERB
fumecheng-7346	149	10			VERB
fumecheng-7346	149	11			VERB
fumecheng-7346	149	12			VERB
fumecheng-7346	149	13			VERB
fumecheng-7346	149	14			VERB
fumecheng-7346	149	15	(	(	PUNCT
fumecheng-7346	149	16	26	26	NUM
fumecheng-7346	149	17	)	)	PUNCT
fumecheng-7346	149	18	the	the	DET
fumecheng-7346	149	19	linear	linear	ADJ
fumecheng-7346	149	20	part	part	NOUN
fumecheng-7346	149	21	becomes	become	VERB
fumecheng-7346	149	22	now	now	ADV
fumecheng-7346	149	23	2	2	NUM
fumecheng-7346	149	24	3	3	NUM
fumecheng-7346	149	25	0b	0b	NUM
fumecheng-7346	149	26			NOUN
fumecheng-7346	149	27	−	−	PROPN
fumecheng-7346	149	28	=	=	SYM
fumecheng-7346	149	29	(	(	PUNCT
fumecheng-7346	149	30	27	27	NUM
fumecheng-7346	149	31	)	)	PUNCT
fumecheng-7346	149	32	which	which	PRON
fumecheng-7346	149	33	represents	represent	VERB
fumecheng-7346	149	34	a	a	DET
fumecheng-7346	149	35	linear	linear	ADJ
fumecheng-7346	149	36	oscillator	oscillator	NOUN
fumecheng-7346	149	37	.	.	PUNCT
fumecheng-7346	150	1	for	for	ADP
fumecheng-7346	150	2	eq	eq	PROPN
fumecheng-7346	150	3	.	.	PUNCT
fumecheng-7346	151	1	(	(	PUNCT
fumecheng-7346	151	2	26	26	NUM
fumecheng-7346	151	3	)	)	PUNCT
fumecheng-7346	151	4	,	,	PUNCT
fumecheng-7346	151	5	the	the	DET
fumecheng-7346	151	6	homotopy	homotopy	NOUN
fumecheng-7346	151	7	equation	equation	NOUN
fumecheng-7346	151	8	can	can	AUX
fumecheng-7346	151	9	be	be	AUX
fumecheng-7346	151	10	defined	define	VERB
fumecheng-7346	151	11	as	as	ADP
fumecheng-7346	151	12	2	2	NUM
fumecheng-7346	151	13	3	3	NUM
fumecheng-7346	151	14	5	5	NUM
fumecheng-7346	151	15	7	7	NUM
fumecheng-7346	151	16	2	2	NUM
fumecheng-7346	151	17	4	4	NUM
fumecheng-7346	151	18	2	2	NUM
fumecheng-7346	151	19	3	3	NUM
fumecheng-7346	151	20	3	3	NUM
fumecheng-7346	151	21	4	4	NUM
fumecheng-7346	151	22	3	3	NUM
fumecheng-7346	151	23	5	5	NUM
fumecheng-7346	151	24	3	3	NUM
fumecheng-7346	151	25	6	6	NUM
fumecheng-7346	151	26	1	1	NUM
fumecheng-7346	151	27	3	3	NUM
fumecheng-7346	151	28	2	2	NUM
fumecheng-7346	151	29	3	3	NUM
fumecheng-7346	151	30	4	4	NUM
fumecheng-7346	151	31	2	2	NUM
fumecheng-7346	151	32	3	3	NUM
fumecheng-7346	151	33	2	2	NUM
fumecheng-7346	151	34	4	4	NUM
fumecheng-7346	151	35	5	5	NUM
fumecheng-7346	151	36	2	2	NUM
fumecheng-7346	151	37	6	6	NUM
fumecheng-7346	151	38	2	2	NUM
fumecheng-7346	151	39	2	2	NUM
fumecheng-7346	151	40	5	5	NUM
fumecheng-7346	151	41	6	6	NUM
fumecheng-7346	151	42	1	1	NUM
fumecheng-7346	151	43	2	2	NUM
fumecheng-7346	151	44	2	2	NUM
fumecheng-7346	151	45	2	2	NUM
fumecheng-7346	151	46	3	3	NUM
fumecheng-7346	151	47	2	2	NUM
fumecheng-7346	151	48	3	3	NUM
fumecheng-7346	151	49	4	4	NUM
fumecheng-7346	151	50	2	2	NUM
fumecheng-7346	151	51	(	(	PUNCT
fumecheng-7346	151	52	6	6	NUM
fumecheng-7346	151	53	3	3	NUM
fumecheng-7346	151	54	)	)	PUNCT
fumecheng-7346	151	55	(	(	PUNCT
fumecheng-7346	151	56	20	20	NUM
fumecheng-7346	151	57	5	5	NUM
fumecheng-7346	151	58	)	)	PUNCT
fumecheng-7346	151	59	(	(	PUNCT
fumecheng-7346	151	60	42	42	NUM
fumecheng-7346	151	61	7	7	NUM
fumecheng-7346	151	62	)	)	PUNCT
fumecheng-7346	151	63	(	(	PUNCT
fumecheng-7346	151	64	2	2	NUM
fumecheng-7346	151	65	2	2	NUM
fumecheng-7346	151	66	4	4	NUM
fumecheng-7346	151	67	)	)	PUNCT
fumecheng-7346	151	68	(	(	PUNCT
fumecheng-7346	151	69	12	12	NUM
fumecheng-7346	151	70	4	4	NUM
fumecheng-7346	151	71	8	8	NUM
fumecheng-7346	151	72	)	)	PUNCT
fumecheng-7346	151	73	0	0	NUM
fumecheng-7346	152	1	b	b	X
fumecheng-7346	152	2	p	p	X
fumecheng-7346	152	3	b	b	PROPN
fumecheng-7346	152	4	b	b	PROPN
fumecheng-7346	152	5	b	b	PROPN
fumecheng-7346	152	6	b	b	PROPN
fumecheng-7346	152	7	b	b	PROPN
fumecheng-7346	152	8	b	b	PROPN
fumecheng-7346	152	9	b	b	PROPN
fumecheng-7346	152	10	b	b	PROPN
fumecheng-7346	152	11	b	b	PROPN
fumecheng-7346	152	12	b	b	PROPN
fumecheng-7346	152	13	b	b	PROPN
fumecheng-7346	152	14	b	b	PROPN
fumecheng-7346	152	15	b	b	PROPN
fumecheng-7346	152	16	b	b	PROPN
fumecheng-7346	152	17	b	b	PROPN
fumecheng-7346	152	18			NUM
fumecheng-7346	152	19			PROPN
fumecheng-7346	152	20			PROPN
fumecheng-7346	152	21	−	−	PUNCT
fumecheng-7346	152	22	+	+	CCONJ
fumecheng-7346	152	23	−	−	PROPN
fumecheng-7346	152	24	−	−	NUM
fumecheng-7346	152	25	−	−	NOUN
fumecheng-7346	152	26	−	−	PROPN
fumecheng-7346	152	27	−	−	PROPN
fumecheng-7346	153	1	+	+	NOUN
fumecheng-7346	153	2			AUX
fumecheng-7346	153	3			PROPN
fumecheng-7346	153	4			ADV
fumecheng-7346	153	5			PROPN
fumecheng-7346	153	6			ADV
fumecheng-7346	153	7			PROPN
fumecheng-7346	153	8			CCONJ
fumecheng-7346	153	9			X
fumecheng-7346	153	10	+	+	PROPN
fumecheng-7346	153	11	+	+	X
fumecheng-7346	153	12	+	+	PUNCT
fumecheng-7346	153	13	+	+	PUNCT
fumecheng-7346	153	14	+	+	PUNCT
fumecheng-7346	153	15	+	+	CCONJ
fumecheng-7346	153	16	+	+	CCONJ
fumecheng-7346	153	17			PROPN
fumecheng-7346	153	18			NOUN
fumecheng-7346	153	19			X
fumecheng-7346	153	20			ADP
fumecheng-7346	153	21			PROPN
fumecheng-7346	153	22			PROPN
fumecheng-7346	153	23			ADJ
fumecheng-7346	153	24			NOUN
fumecheng-7346	153	25	+	+	PROPN
fumecheng-7346	153	26	+	+	CCONJ
fumecheng-7346	154	1	+	+	PUNCT
fumecheng-7346	155	1	+	+	PUNCT
fumecheng-7346	155	2	+	+	CCONJ
fumecheng-7346	155	3	+	+	CCONJ
fumecheng-7346	155	4	=	=	NOUN
fumecheng-7346	155	5			PROPN
fumecheng-7346	155	6			NOUN
fumecheng-7346	155	7			AUX
fumecheng-7346	155	8			VERB
fumecheng-7346	155	9			NOUN
fumecheng-7346	155	10			NOUN
fumecheng-7346	155	11			ADJ
fumecheng-7346	155	12			NOUN
fumecheng-7346	155	13			NOUN
fumecheng-7346	155	14			NOUN
fumecheng-7346	155	15			PROPN
fumecheng-7346	155	16			NOUN
fumecheng-7346	155	17			NOUN
fumecheng-7346	155	18			VERB
fumecheng-7346	155	19			VERB
fumecheng-7346	155	20			VERB
fumecheng-7346	155	21			VERB
fumecheng-7346	155	22			VERB
fumecheng-7346	155	23			VERB
fumecheng-7346	155	24			VERB
fumecheng-7346	155	25			VERB
fumecheng-7346	155	26			VERB
fumecheng-7346	155	27			VERB
fumecheng-7346	155	28			PART
fumecheng-7346	156	1			PROPN
fumecheng-7346	156	2			NOUN
fumecheng-7346	156	3			AUX
fumecheng-7346	156	4			VERB
fumecheng-7346	156	5			VERB
fumecheng-7346	156	6			VERB
fumecheng-7346	156	7			VERB
fumecheng-7346	156	8			VERB
fumecheng-7346	156	9			VERB
fumecheng-7346	156	10			VERB
fumecheng-7346	156	11			VERB
fumecheng-7346	156	12			VERB
fumecheng-7346	156	13			VERB
fumecheng-7346	156	14			VERB
fumecheng-7346	156	15	(	(	PUNCT
fumecheng-7346	156	16	28	28	NUM
fumecheng-7346	156	17	)	)	PUNCT
fumecheng-7346	156	18	li	li	PROPN
fumecheng-7346	156	19	-	-	PROPN
fumecheng-7346	156	20	he	he	PRON
fumecheng-7346	156	21	’s	’	VERB
fumecheng-7346	156	22	modified	modify	VERB
fumecheng-7346	156	23	homotopy	homotopy	NOUN
fumecheng-7346	156	24	perturbation	perturbation	NOUN
fumecheng-7346	156	25	method	method	NOUN
fumecheng-7346	156	26	for	for	ADP
fumecheng-7346	156	27	doubly	doubly	ADV
fumecheng-7346	156	28	-	-	PUNCT
fumecheng-7346	156	29	clamped	clamp	VERB
fumecheng-7346	156	30	electrically	electrically	ADV
fumecheng-7346	156	31	actuated	actuate	VERB
fumecheng-7346	156	32	...	...	PUNCT
fumecheng-7346	157	1	607	607	NUM
fumecheng-7346	157	2	the	the	DET
fumecheng-7346	157	3	solution	solution	NOUN
fumecheng-7346	157	4	and	and	CCONJ
fumecheng-7346	157	5	coefficient	coefficient	NOUN
fumecheng-7346	157	6	of	of	ADP
fumecheng-7346	157	7	the	the	DET
fumecheng-7346	157	8	linear	linear	ADJ
fumecheng-7346	157	9	term	term	NOUN
fumecheng-7346	157	10	can	can	AUX
fumecheng-7346	157	11	be	be	AUX
fumecheng-7346	157	12	expanding	expand	VERB
fumecheng-7346	157	13	as	as	ADP
fumecheng-7346	157	14	2	2	NUM
fumecheng-7346	157	15	0	0	NUM
fumecheng-7346	157	16	1	1	NUM
fumecheng-7346	157	17	2p	2p	NUM
fumecheng-7346	157	18	p	p	NOUN
fumecheng-7346	157	19			NOUN
fumecheng-7346	157	20			VERB
fumecheng-7346	157	21	=	=	PROPN
fumecheng-7346	157	22	+	+	PROPN
fumecheng-7346	157	23	+	+	PUNCT
fumecheng-7346	157	24	+	+	CCONJ
fumecheng-7346	157	25	(	(	PUNCT
fumecheng-7346	157	26	29	29	NUM
fumecheng-7346	157	27	)	)	SYM
fumecheng-7346	157	28	2	2	NUM
fumecheng-7346	157	29	4	4	NUM
fumecheng-7346	157	30	2	2	NUM
fumecheng-7346	157	31	3	3	NUM
fumecheng-7346	157	32	1	1	NUM
fumecheng-7346	157	33	2b	2b	NOUN
fumecheng-7346	157	34	p	p	NOUN
fumecheng-7346	157	35	p=	p=	NOUN
fumecheng-7346	157	36	+	+	CCONJ
fumecheng-7346	157	37			PROPN
fumecheng-7346	157	38	+	+	CCONJ
fumecheng-7346	157	39			PROPN
fumecheng-7346	158	1	+	+	CCONJ
fumecheng-7346	158	2	(	(	PUNCT
fumecheng-7346	158	3	30	30	NUM
fumecheng-7346	158	4	)	)	PUNCT
fumecheng-7346	158	5	where	where	SCONJ
fumecheng-7346	158	6	ω4	ω4	NUM
fumecheng-7346	158	7	and	and	CCONJ
fumecheng-7346	158	8	ωi	ωi	NUM
fumecheng-7346	158	9	are	be	AUX
fumecheng-7346	158	10	constants	constant	NOUN
fumecheng-7346	158	11	and	and	CCONJ
fumecheng-7346	158	12	can	can	AUX
fumecheng-7346	158	13	be	be	AUX
fumecheng-7346	158	14	recognized	recognize	VERB
fumecheng-7346	158	15	by	by	ADP
fumecheng-7346	158	16	means	mean	NOUN
fumecheng-7346	158	17	of	of	ADP
fumecheng-7346	158	18	no	no	DET
fumecheng-7346	158	19	secular	secular	ADJ
fumecheng-7346	158	20	term	term	NOUN
fumecheng-7346	158	21	.	.	PUNCT
fumecheng-7346	159	1	substituting	substitute	VERB
fumecheng-7346	159	2	eq	eq	ADP
fumecheng-7346	159	3	.	.	PUNCT
fumecheng-7346	160	1	(	(	PUNCT
fumecheng-7346	160	2	29	29	NUM
fumecheng-7346	160	3	)	)	PUNCT
fumecheng-7346	160	4	and	and	CCONJ
fumecheng-7346	160	5	eq	eq	NOUN
fumecheng-7346	160	6	.	.	PUNCT
fumecheng-7346	161	1	(	(	PUNCT
fumecheng-7346	161	2	30	30	NUM
fumecheng-7346	161	3	)	)	PUNCT
fumecheng-7346	161	4	into	into	ADP
fumecheng-7346	161	5	eq	eq	NOUN
fumecheng-7346	161	6	.	.	PUNCT
fumecheng-7346	162	1	(	(	PUNCT
fumecheng-7346	162	2	28	28	NUM
fumecheng-7346	162	3	)	)	PUNCT
fumecheng-7346	162	4	and	and	CCONJ
fumecheng-7346	162	5	continuing	continue	VERB
fumecheng-7346	162	6	as	as	ADP
fumecheng-7346	162	7	that	that	PRON
fumecheng-7346	162	8	by	by	ADP
fumecheng-7346	162	9	the	the	DET
fumecheng-7346	162	10	standard	standard	ADJ
fumecheng-7346	162	11	perturbation	perturbation	NOUN
fumecheng-7346	162	12	method	method	NOUN
fumecheng-7346	162	13	,	,	PUNCT
fumecheng-7346	162	14	we	we	PRON
fumecheng-7346	162	15	have	have	VERB
fumecheng-7346	162	16	4	4	NUM
fumecheng-7346	162	17	0	0	NUM
fumecheng-7346	162	18	0	0	NUM
fumecheng-7346	162	19	0	0	NUM
fumecheng-7346	162	20	00	00	NUM
fumecheng-7346	162	21	,	,	PUNCT
fumecheng-7346	162	22	(	(	PUNCT
fumecheng-7346	162	23	0	0	NUM
fumecheng-7346	162	24	)	)	PUNCT
fumecheng-7346	162	25	,	,	PUNCT
fumecheng-7346	162	26	(	(	PUNCT
fumecheng-7346	162	27	0	0	X
fumecheng-7346	162	28	)	)	PUNCT
fumecheng-7346	162	29	0a	0a	PROPN
fumecheng-7346	162	30			NOUN
fumecheng-7346	162	31			VERB
fumecheng-7346	162	32			PROPN
fumecheng-7346	162	33	−	−	PROPN
fumecheng-7346	162	34	=	=	SYM
fumecheng-7346	163	1	=	=	SYM
fumecheng-7346	163	2	=	=	SYM
fumecheng-7346	163	3	(	(	PUNCT
fumecheng-7346	163	4	31	31	NUM
fumecheng-7346	163	5	)	)	PUNCT
fumecheng-7346	163	6	4	4	NUM
fumecheng-7346	163	7	3	3	NUM
fumecheng-7346	163	8	5	5	NUM
fumecheng-7346	163	9	7	7	NUM
fumecheng-7346	163	10	2	2	NUM
fumecheng-7346	163	11	4	4	NUM
fumecheng-7346	163	12	2	2	NUM
fumecheng-7346	163	13	1	1	NUM
fumecheng-7346	163	14	1	1	NUM
fumecheng-7346	163	15	1	1	NUM
fumecheng-7346	163	16	0	0	NUM
fumecheng-7346	163	17	3	3	NUM
fumecheng-7346	163	18	4	4	NUM
fumecheng-7346	163	19	0	0	NUM
fumecheng-7346	163	20	3	3	NUM
fumecheng-7346	163	21	5	5	NUM
fumecheng-7346	163	22	0	0	NUM
fumecheng-7346	163	23	3	3	NUM
fumecheng-7346	163	24	6	6	NUM
fumecheng-7346	163	25	0	0	NUM
fumecheng-7346	163	26	1	1	NUM
fumecheng-7346	163	27	3	3	NUM
fumecheng-7346	163	28	0	0	NUM
fumecheng-7346	163	29	0	0	NUM
fumecheng-7346	163	30	2	2	NUM
fumecheng-7346	163	31	3	3	NUM
fumecheng-7346	163	32	0	0	NUM
fumecheng-7346	163	33	0	0	NUM
fumecheng-7346	163	34	4	4	NUM
fumecheng-7346	163	35	0	0	NUM
fumecheng-7346	163	36	0	0	NUM
fumecheng-7346	163	37	2	2	NUM
fumecheng-7346	163	38	3	3	NUM
fumecheng-7346	163	39	2	2	NUM
fumecheng-7346	163	40	4	4	NUM
fumecheng-7346	163	41	5	5	NUM
fumecheng-7346	163	42	2	2	NUM
fumecheng-7346	163	43	6	6	NUM
fumecheng-7346	163	44	0	0	NUM
fumecheng-7346	163	45	0	0	NUM
fumecheng-7346	163	46	5	5	NUM
fumecheng-7346	163	47	0	0	NUM
fumecheng-7346	163	48	0	0	NUM
fumecheng-7346	163	49	0	0	NUM
fumecheng-7346	163	50	0	0	NUM
fumecheng-7346	163	51	6	6	NUM
fumecheng-7346	163	52	0	0	NUM
fumecheng-7346	163	53	0	0	NUM
fumecheng-7346	163	54	0	0	NUM
fumecheng-7346	163	55	0	0	NUM
fumecheng-7346	163	56	1	1	NUM
fumecheng-7346	163	57	0	0	NUM
fumecheng-7346	163	58	0	0	NUM
fumecheng-7346	163	59	0	0	NUM
fumecheng-7346	163	60	2	2	NUM
fumecheng-7346	163	61	2	2	NUM
fumecheng-7346	163	62	2	2	NUM
fumecheng-7346	163	63	2	2	NUM
fumecheng-7346	163	64	2	2	NUM
fumecheng-7346	163	65	3	3	NUM
fumecheng-7346	163	66	0	0	NUM
fumecheng-7346	163	67	0	0	NUM
fumecheng-7346	163	68	0	0	NUM
fumecheng-7346	163	69	0	0	NUM
fumecheng-7346	163	70	0	0	NUM
fumecheng-7346	163	71	0	0	NUM
fumecheng-7346	163	72	2	2	NUM
fumecheng-7346	163	73	0	0	NUM
fumecheng-7346	163	74	0	0	NUM
fumecheng-7346	163	75	0	0	NUM
fumecheng-7346	163	76	0	0	NUM
fumecheng-7346	163	77	(	(	PUNCT
fumecheng-7346	163	78	6	6	NUM
fumecheng-7346	163	79	3	3	NUM
fumecheng-7346	163	80	)	)	PUNCT
fumecheng-7346	163	81	(	(	PUNCT
fumecheng-7346	163	82	20	20	NUM
fumecheng-7346	163	83	5	5	NUM
fumecheng-7346	163	84	)	)	PUNCT
fumecheng-7346	163	85	(	(	PUNCT
fumecheng-7346	163	86	42	42	NUM
fumecheng-7346	163	87	7	7	NUM
fumecheng-7346	163	88	)	)	PUNCT
fumecheng-7346	163	89	(	(	PUNCT
fumecheng-7346	163	90	4	4	NUM
fumecheng-7346	163	91	2	2	NUM
fumecheng-7346	163	92	2	2	NUM
fumecheng-7346	163	93	)	)	PUNCT
fumecheng-7346	163	94	(	(	PUNCT
fumecheng-7346	163	95	12	12	NUM
fumecheng-7346	163	96	4	4	NUM
fumecheng-7346	163	97	b	b	PROPN
fumecheng-7346	163	98	b	b	PROPN
fumecheng-7346	163	99	b	b	PROPN
fumecheng-7346	163	100	b	b	PROPN
fumecheng-7346	163	101	b	b	PROPN
fumecheng-7346	163	102	b	b	PROPN
fumecheng-7346	163	103	b	b	PROPN
fumecheng-7346	163	104	b	b	PROPN
fumecheng-7346	163	105	b	b	PROPN
fumecheng-7346	163	106	b	b	PROPN
fumecheng-7346	163	107	b	b	PROPN
fumecheng-7346	163	108	b	b	PROPN
fumecheng-7346	163	109	b	b	PROPN
fumecheng-7346	163	110	b	b	PROPN
fumecheng-7346	163	111	b	b	PROPN
fumecheng-7346	163	112			X
fumecheng-7346	163	113			PROPN
fumecheng-7346	163	114			PROPN
fumecheng-7346	163	115	−	−	VERB
fumecheng-7346	163	116	−	−	PROPN
fumecheng-7346	163	117	−	−	PROPN
fumecheng-7346	163	118	−	−	PROPN
fumecheng-7346	163	119	−	−	PROPN
fumecheng-7346	163	120	−	−	PROPN
fumecheng-7346	163	121	−	−	PROPN
fumecheng-7346	164	1	+	+	CCONJ
fumecheng-7346	164	2			PROPN
fumecheng-7346	164	3			PROPN
fumecheng-7346	164	4			PROPN
fumecheng-7346	164	5			ADV
fumecheng-7346	164	6			PROPN
fumecheng-7346	164	7			CCONJ
fumecheng-7346	164	8	+	+	NUM
fumecheng-7346	164	9	+	+	CCONJ
fumecheng-7346	164	10	+	+	PUNCT
fumecheng-7346	164	11	+	+	PUNCT
fumecheng-7346	164	12	+	+	PUNCT
fumecheng-7346	164	13	+	+	CCONJ
fumecheng-7346	164	14	+	+	CCONJ
fumecheng-7346	164	15			ADJ
fumecheng-7346	164	16			PROPN
fumecheng-7346	164	17			X
fumecheng-7346	164	18			PROPN
fumecheng-7346	164	19			CCONJ
fumecheng-7346	164	20			X
fumecheng-7346	164	21	+	+	PROPN
fumecheng-7346	164	22	+	+	X
fumecheng-7346	164	23	+	+	CCONJ
fumecheng-7346	164	24	+	+	CCONJ
fumecheng-7346	164	25			NOUN
fumecheng-7346	164	26			AUX
fumecheng-7346	164	27			VERB
fumecheng-7346	164	28			VERB
fumecheng-7346	164	29			VERB
fumecheng-7346	164	30			VERB
fumecheng-7346	164	31			VERB
fumecheng-7346	164	32			VERB
fumecheng-7346	164	33			VERB
fumecheng-7346	164	34			VERB
fumecheng-7346	164	35			VERB
fumecheng-7346	164	36			VERB
fumecheng-7346	164	37			VERB
fumecheng-7346	164	38			VERB
fumecheng-7346	164	39			VERB
fumecheng-7346	164	40			VERB
fumecheng-7346	164	41			VERB
fumecheng-7346	164	42			VERB
fumecheng-7346	164	43			VERB
fumecheng-7346	164	44			VERB
fumecheng-7346	164	45			VERB
fumecheng-7346	164	46			VERB
fumecheng-7346	164	47			VERB
fumecheng-7346	164	48			VERB
fumecheng-7346	164	49			VERB
fumecheng-7346	164	50			VERB
fumecheng-7346	164	51			VERB
fumecheng-7346	164	52			VERB
fumecheng-7346	164	53			VERB
fumecheng-7346	164	54			VERB
fumecheng-7346	164	55			VERB
fumecheng-7346	164	56			VERB
fumecheng-7346	164	57			VERB
fumecheng-7346	164	58			VERB
fumecheng-7346	164	59			VERB
fumecheng-7346	164	60	2	2	NUM
fumecheng-7346	164	61	3	3	NUM
fumecheng-7346	164	62	4	4	NUM
fumecheng-7346	164	63	0	0	NUM
fumecheng-7346	164	64	0	0	NUM
fumecheng-7346	164	65	0	0	NUM
fumecheng-7346	164	66	0	0	NUM
fumecheng-7346	164	67	0	0	NUM
fumecheng-7346	164	68	08	08	NUM
fumecheng-7346	164	69	)	)	PUNCT
fumecheng-7346	164	70	0	0	PROPN
fumecheng-7346	164	71			NOUN
fumecheng-7346	165	1	+	+	PROPN
fumecheng-7346	165	2	+	+	CCONJ
fumecheng-7346	165	3	=	=	NOUN
fumecheng-7346	165	4			NOUN
fumecheng-7346	165	5			AUX
fumecheng-7346	165	6			VERB
fumecheng-7346	165	7			VERB
fumecheng-7346	165	8			VERB
fumecheng-7346	165	9			VERB
fumecheng-7346	165	10	(	(	PUNCT
fumecheng-7346	165	11	32	32	NUM
fumecheng-7346	165	12	)	)	PUNCT
fumecheng-7346	165	13	by	by	ADP
fumecheng-7346	165	14	utilizing	utilize	VERB
fumecheng-7346	165	15	eq	eq	ADP
fumecheng-7346	165	16	.	.	PUNCT
fumecheng-7346	166	1	(	(	PUNCT
fumecheng-7346	166	2	12	12	NUM
fumecheng-7346	166	3	)	)	PUNCT
fumecheng-7346	166	4	,	,	PUNCT
fumecheng-7346	166	5	we	we	PRON
fumecheng-7346	166	6	can	can	AUX
fumecheng-7346	166	7	take	take	VERB
fumecheng-7346	166	8	the	the	DET
fumecheng-7346	166	9	initial	initial	ADJ
fumecheng-7346	166	10	approximate	approximate	ADJ
fumecheng-7346	166	11	solution	solution	NOUN
fumecheng-7346	166	12	as	as	ADP
fumecheng-7346	166	13	0	0	NUM
fumecheng-7346	166	14	cosa	cosa	PROPN
fumecheng-7346	166	15	t	t	NOUN
fumecheng-7346	166	16	=	=	SYM
fumecheng-7346	166	17			PROPN
fumecheng-7346	166	18	(	(	PUNCT
fumecheng-7346	166	19	33	33	NUM
fumecheng-7346	166	20	)	)	PUNCT
fumecheng-7346	166	21	eq	eq	NOUN
fumecheng-7346	166	22	.	.	PUNCT
fumecheng-7346	167	1	(	(	PUNCT
fumecheng-7346	167	2	32	32	NUM
fumecheng-7346	167	3	)	)	PUNCT
fumecheng-7346	167	4	will	will	AUX
fumecheng-7346	167	5	get	get	VERB
fumecheng-7346	167	6	the	the	DET
fumecheng-7346	167	7	form	form	NOUN
fumecheng-7346	167	8	after	after	ADP
fumecheng-7346	167	9	employing	employ	VERB
fumecheng-7346	167	10	the	the	DET
fumecheng-7346	167	11	initial	initial	ADJ
fumecheng-7346	167	12	solution	solution	NOUN
fumecheng-7346	167	13	4	4	NUM
fumecheng-7346	167	14	3	3	NUM
fumecheng-7346	167	15	3	3	NUM
fumecheng-7346	167	16	5	5	NUM
fumecheng-7346	167	17	5	5	NUM
fumecheng-7346	167	18	7	7	NUM
fumecheng-7346	167	19	7	7	NUM
fumecheng-7346	167	20	1	1	NUM
fumecheng-7346	167	21	1	1	NUM
fumecheng-7346	167	22	1	1	NUM
fumecheng-7346	167	23	3	3	NUM
fumecheng-7346	167	24	4	4	NUM
fumecheng-7346	167	25	3	3	NUM
fumecheng-7346	167	26	5	5	NUM
fumecheng-7346	167	27	3	3	NUM
fumecheng-7346	167	28	6	6	NUM
fumecheng-7346	167	29	3	3	NUM
fumecheng-7346	167	30	2	2	NUM
fumecheng-7346	167	31	3	3	NUM
fumecheng-7346	167	32	5	5	NUM
fumecheng-7346	167	33	2	2	NUM
fumecheng-7346	167	34	5	5	NUM
fumecheng-7346	167	35	3	3	NUM
fumecheng-7346	167	36	2	2	NUM
fumecheng-7346	167	37	3	3	NUM
fumecheng-7346	167	38	2	2	NUM
fumecheng-7346	167	39	3	3	NUM
fumecheng-7346	167	40	1	1	NUM
fumecheng-7346	167	41	3	3	NUM
fumecheng-7346	167	42	2	2	NUM
fumecheng-7346	167	43	3	3	NUM
fumecheng-7346	167	44	4	4	NUM
fumecheng-7346	167	45	5	5	NUM
fumecheng-7346	167	46	2	2	NUM
fumecheng-7346	167	47	3	3	NUM
fumecheng-7346	167	48	5	5	NUM
fumecheng-7346	167	49	2	2	NUM
fumecheng-7346	167	50	5	5	NUM
fumecheng-7346	167	51	7	7	NUM
fumecheng-7346	167	52	2	2	NUM
fumecheng-7346	167	53	5	5	NUM
fumecheng-7346	167	54	7	7	NUM
fumecheng-7346	167	55	2	2	NUM
fumecheng-7346	167	56	7	7	NUM
fumecheng-7346	167	57	5	5	NUM
fumecheng-7346	167	58	6	6	NUM
fumecheng-7346	167	59	3	3	NUM
fumecheng-7346	167	60	4	4	NUM
fumecheng-7346	167	61	1	1	NUM
fumecheng-7346	167	62	cos	cos	PROPN
fumecheng-7346	167	63	[	[	X
fumecheng-7346	167	64	cos	cos	X
fumecheng-7346	167	65	]	]	X
fumecheng-7346	167	66	[	[	PUNCT
fumecheng-7346	167	67	cos	cos	X
fumecheng-7346	167	68	]	]	X
fumecheng-7346	167	69	[	[	PUNCT
fumecheng-7346	167	70	cos	cos	X
fumecheng-7346	167	71	]	]	X
fumecheng-7346	167	72	[	[	PUNCT
fumecheng-7346	167	73	cos	cos	X
fumecheng-7346	167	74	]	]	X
fumecheng-7346	167	75	[	[	PUNCT
fumecheng-7346	167	76	cos	cos	X
fumecheng-7346	167	77	]	]	X
fumecheng-7346	168	1	[	[	X
fumecheng-7346	168	2	6	6	NUM
fumecheng-7346	168	3	cos	cos	NOUN
fumecheng-7346	168	4	9	9	NUM
fumecheng-7346	168	5	cos	cos	NOUN
fumecheng-7346	168	6	]	]	X
fumecheng-7346	168	7	[	[	X
fumecheng-7346	168	8	20	20	NUM
fumecheng-7346	168	9	cos	cos	SYM
fumecheng-7346	168	10	25	25	NUM
fumecheng-7346	168	11	cos	co	NOUN
fumecheng-7346	168	12	]	]	X
fumecheng-7346	169	1	[	[	X
fumecheng-7346	169	2	42	42	NUM
fumecheng-7346	169	3	cos	co	NOUN
fumecheng-7346	169	4	49	49	NUM
fumecheng-7346	169	5	cos	cos	NOUN
fumecheng-7346	169	6	]	]	X
fumecheng-7346	169	7	[	[	PUNCT
fumecheng-7346	169	8	6	6	NUM
fumecheng-7346	169	9	cos	cos	PROPN
fumecheng-7346	169	10	a	a	PRON
fumecheng-7346	169	11	t	t	PROPN
fumecheng-7346	170	1	b	b	PROPN
fumecheng-7346	170	2	b	b	PROPN
fumecheng-7346	170	3	a	a	DET
fumecheng-7346	170	4	t	t	PROPN
fumecheng-7346	170	5	b	b	PROPN
fumecheng-7346	170	6	b	b	PROPN
fumecheng-7346	170	7	a	a	DET
fumecheng-7346	170	8	t	t	PROPN
fumecheng-7346	170	9	b	b	PROPN
fumecheng-7346	170	10	b	b	PROPN
fumecheng-7346	170	11	a	a	DET
fumecheng-7346	170	12	t	t	PROPN
fumecheng-7346	170	13	b	b	PROPN
fumecheng-7346	170	14	b	b	PROPN
fumecheng-7346	170	15	a	a	DET
fumecheng-7346	170	16	t	t	PROPN
fumecheng-7346	170	17	b	b	PROPN
fumecheng-7346	170	18	b	b	PROPN
fumecheng-7346	170	19	a	a	PRON
fumecheng-7346	170	20	t	t	PROPN
fumecheng-7346	170	21	b	b	PROPN
fumecheng-7346	170	22	a	a	DET
fumecheng-7346	170	23	t	t	NOUN
fumecheng-7346	170	24	a	a	DET
fumecheng-7346	170	25	t	t	PROPN
fumecheng-7346	170	26	b	b	PROPN
fumecheng-7346	170	27	a	a	DET
fumecheng-7346	170	28	t	t	NOUN
fumecheng-7346	170	29	a	a	DET
fumecheng-7346	170	30	t	t	PROPN
fumecheng-7346	170	31	b	b	PROPN
fumecheng-7346	170	32	a	a	DET
fumecheng-7346	170	33	t	t	NOUN
fumecheng-7346	170	34	a	a	DET
fumecheng-7346	170	35	t	t	PROPN
fumecheng-7346	170	36	b	b	PROPN
fumecheng-7346	170	37	a	a	PRON
fumecheng-7346	170	38			NOUN
fumecheng-7346	170	39	−	−	PROPN
fumecheng-7346	170	40	−	−	PROPN
fumecheng-7346	170	41			PROPN
fumecheng-7346	170	42			PROPN
fumecheng-7346	170	43	−	−	PROPN
fumecheng-7346	170	44			PROPN
fumecheng-7346	171	1	−	−	PROPN
fumecheng-7346	171	2			PROPN
fumecheng-7346	171	3	−	−	PROPN
fumecheng-7346	171	4			PROPN
fumecheng-7346	172	1	+	+	CCONJ
fumecheng-7346	172	2			PROPN
fumecheng-7346	172	3			PROPN
fumecheng-7346	173	1	+	+	CCONJ
fumecheng-7346	173	2			PROPN
fumecheng-7346	173	3			PROPN
fumecheng-7346	173	4	+	+	CCONJ
fumecheng-7346	173	5			PROPN
fumecheng-7346	173	6			PROPN
fumecheng-7346	173	7	−	−	PROPN
fumecheng-7346	173	8			PROPN
fumecheng-7346	173	9			PROPN
fumecheng-7346	174	1	+	+	CCONJ
fumecheng-7346	174	2			PROPN
fumecheng-7346	174	3			PROPN
fumecheng-7346	174	4	−	−	PROPN
fumecheng-7346	174	5			PROPN
fumecheng-7346	174	6			PROPN
fumecheng-7346	175	1	+	+	CCONJ
fumecheng-7346	175	2			PROPN
fumecheng-7346	175	3			PROPN
fumecheng-7346	175	4	−	−	PROPN
fumecheng-7346	175	5			PROPN
fumecheng-7346	175	6			PROPN
fumecheng-7346	176	1	+	+	CCONJ
fumecheng-7346	176	2	−	−	PROPN
fumecheng-7346	176	3			PROPN
fumecheng-7346	176	4			PROPN
fumecheng-7346	176	5			NOUN
fumecheng-7346	176	6			VERB
fumecheng-7346	176	7	3	3	NUM
fumecheng-7346	176	8	4	4	NUM
fumecheng-7346	176	9	3	3	NUM
fumecheng-7346	176	10	5	5	NUM
fumecheng-7346	176	11	4	4	NUM
fumecheng-7346	176	12	3	3	NUM
fumecheng-7346	176	13	5	5	NUM
fumecheng-7346	176	14	4	4	NUM
fumecheng-7346	176	15	5	5	NUM
fumecheng-7346	176	16	29	29	NUM
fumecheng-7346	176	17	cos	cos	X
fumecheng-7346	176	18	]	]	X
fumecheng-7346	176	19	[	[	PUNCT
fumecheng-7346	176	20	20	20	NUM
fumecheng-7346	176	21	cos	cos	PROPN
fumecheng-7346	176	22	25	25	NUM
fumecheng-7346	176	23	cos	cos	NOUN
fumecheng-7346	176	24	]	]	X
fumecheng-7346	176	25	0	0	NUM
fumecheng-7346	176	26	t	t	NOUN
fumecheng-7346	176	27	a	a	DET
fumecheng-7346	176	28	t	t	PROPN
fumecheng-7346	176	29	b	b	PROPN
fumecheng-7346	176	30	a	a	DET
fumecheng-7346	176	31	t	t	NOUN
fumecheng-7346	176	32	a	a	DET
fumecheng-7346	176	33	t+	t+	NOUN
fumecheng-7346	176	34			PROPN
fumecheng-7346	176	35			PROPN
fumecheng-7346	177	1	+	+	CCONJ
fumecheng-7346	177	2	−	−	PROPN
fumecheng-7346	177	3			PROPN
fumecheng-7346	177	4			PROPN
fumecheng-7346	177	5	+	+	CCONJ
fumecheng-7346	177	6			PROPN
fumecheng-7346	177	7			PROPN
fumecheng-7346	177	8	=	=	PUNCT
fumecheng-7346	177	9	(	(	PUNCT
fumecheng-7346	177	10	34	34	NUM
fumecheng-7346	177	11	)	)	PUNCT
fumecheng-7346	177	12	after	after	ADP
fumecheng-7346	177	13	simple	simple	ADJ
fumecheng-7346	177	14	calculation	calculation	NOUN
fumecheng-7346	177	15	,	,	PUNCT
fumecheng-7346	177	16	eq	eq	NOUN
fumecheng-7346	177	17	.	.	PUNCT
fumecheng-7346	178	1	(	(	PUNCT
fumecheng-7346	178	2	34	34	NUM
fumecheng-7346	178	3	)	)	PUNCT
fumecheng-7346	178	4	can	can	AUX
fumecheng-7346	178	5	be	be	AUX
fumecheng-7346	178	6	written	write	VERB
fumecheng-7346	178	7	4	4	NUM
fumecheng-7346	178	8	1	1	NUM
fumecheng-7346	178	9	1	1	NUM
fumecheng-7346	178	10	1	1	NUM
fumecheng-7346	178	11	2	2	NUM
fumecheng-7346	178	12	3	3	NUM
fumecheng-7346	178	13	4cos	4cos	PROPN
fumecheng-7346	178	14	cos3	cos3	PROPN
fumecheng-7346	178	15	cos5	cos5	PROPN
fumecheng-7346	178	16	cos7	cos7	PROPN
fumecheng-7346	178	17	0	0	NUM
fumecheng-7346	178	18	t	t	PROPN
fumecheng-7346	178	19	t	t	PROPN
fumecheng-7346	178	20	t	t	NOUN
fumecheng-7346	178	21	t	t	VERB
fumecheng-7346	178	22	−	−	PROPN
fumecheng-7346	178	23	+	+	PROPN
fumecheng-7346	178	24			PROPN
fumecheng-7346	178	25			PRON
fumecheng-7346	178	26	+	+	ADJ
fumecheng-7346	178	27			PROPN
fumecheng-7346	178	28			PRON
fumecheng-7346	178	29	+	+	ADJ
fumecheng-7346	178	30			PROPN
fumecheng-7346	178	31			PRON
fumecheng-7346	178	32	+	+	ADJ
fumecheng-7346	178	33			PROPN
fumecheng-7346	178	34			PRON
fumecheng-7346	178	35	=	=	PUNCT
fumecheng-7346	178	36	(	(	PUNCT
fumecheng-7346	178	37	35	35	NUM
fumecheng-7346	178	38	)	)	PUNCT
fumecheng-7346	178	39	where	where	SCONJ
fumecheng-7346	178	40	3	3	NUM
fumecheng-7346	178	41	5	5	NUM
fumecheng-7346	178	42	7	7	NUM
fumecheng-7346	178	43	3	3	NUM
fumecheng-7346	178	44	2	2	NUM
fumecheng-7346	178	45	5	5	NUM
fumecheng-7346	178	46	23	23	NUM
fumecheng-7346	178	47	4	4	NUM
fumecheng-7346	178	48	3	3	NUM
fumecheng-7346	178	49	5	5	NUM
fumecheng-7346	178	50	3	3	NUM
fumecheng-7346	178	51	6	6	NUM
fumecheng-7346	178	52	54	54	NUM
fumecheng-7346	178	53	1	1	NUM
fumecheng-7346	178	54	1	1	NUM
fumecheng-7346	178	55	7	7	NUM
fumecheng-7346	178	56	2	2	NUM
fumecheng-7346	178	57	3	3	NUM
fumecheng-7346	178	58	2	2	NUM
fumecheng-7346	178	59	5	5	NUM
fumecheng-7346	178	60	2	2	NUM
fumecheng-7346	178	61	3	3	NUM
fumecheng-7346	178	62	4	4	NUM
fumecheng-7346	178	63	5	5	NUM
fumecheng-7346	178	64	46	46	NUM
fumecheng-7346	178	65	1	1	NUM
fumecheng-7346	178	66	2	2	NUM
fumecheng-7346	178	67	1	1	NUM
fumecheng-7346	178	68	2	2	NUM
fumecheng-7346	178	69	3	3	NUM
fumecheng-7346	178	70	5	5	NUM
fumecheng-7346	178	71	35	35	NUM
fumecheng-7346	178	72	53	53	NUM
fumecheng-7346	178	73	4	4	NUM
fumecheng-7346	178	74	8	8	NUM
fumecheng-7346	178	75	64	64	NUM
fumecheng-7346	178	76	4	4	NUM
fumecheng-7346	178	77	8	8	NUM
fumecheng-7346	178	78	35	35	NUM
fumecheng-7346	178	79	3	3	NUM
fumecheng-7346	178	80	5	5	NUM
fumecheng-7346	178	81	3	3	NUM
fumecheng-7346	178	82	5	5	NUM
fumecheng-7346	178	83	64	64	NUM
fumecheng-7346	178	84	4	4	NUM
fumecheng-7346	178	85	8	8	NUM
fumecheng-7346	178	86	4	4	NUM
fumecheng-7346	178	87	8	8	NUM
fumecheng-7346	178	88	b	b	PROPN
fumecheng-7346	178	89	b	b	PROPN
fumecheng-7346	178	90	b	b	PROPN
fumecheng-7346	178	91	b	b	PROPN
fumecheng-7346	178	92	b	b	PROPN
fumecheng-7346	178	93	b	b	PROPN
fumecheng-7346	178	94	bb	bb	INTJ
fumecheng-7346	178	95	a	a	PRON
fumecheng-7346	178	96	a	a	DET
fumecheng-7346	178	97	a	a	DET
fumecheng-7346	178	98	a	a	DET
fumecheng-7346	178	99	a	a	DET
fumecheng-7346	178	100	a	a	DET
fumecheng-7346	178	101	b	b	PROPN
fumecheng-7346	178	102	b	b	PROPN
fumecheng-7346	178	103	b	b	PROPN
fumecheng-7346	178	104	b	b	PROPN
fumecheng-7346	178	105	b	b	PROPN
fumecheng-7346	178	106	a	a	PRON
fumecheng-7346	178	107	a	a	PRON
fumecheng-7346	178	108	a	a	DET
fumecheng-7346	178	109	a	a	DET
fumecheng-7346	178	110	a	a	DET
fumecheng-7346	178	111			NOUN
fumecheng-7346	178	112	=	=	PUNCT
fumecheng-7346	178	113	−	−	PROPN
fumecheng-7346	178	114			PROPN
fumecheng-7346	178	115	−	−	PROPN
fumecheng-7346	178	116	−	−	PROPN
fumecheng-7346	178	117	−	−	PROPN
fumecheng-7346	178	118	−	−	PROPN
fumecheng-7346	178	119			PROPN
fumecheng-7346	178	120	−	−	PROPN
fumecheng-7346	178	121			PROPN
fumecheng-7346	178	122	−	−	PROPN
fumecheng-7346	178	123			PROPN
fumecheng-7346	178	124	+	+	CCONJ
fumecheng-7346	178	125			PROPN
fumecheng-7346	178	126	+	+	CCONJ
fumecheng-7346	178	127			PROPN
fumecheng-7346	178	128	+	+	CCONJ
fumecheng-7346	178	129			PROPN
fumecheng-7346	178	130	+	+	CCONJ
fumecheng-7346	178	131			PROPN
fumecheng-7346	178	132			X
fumecheng-7346	178	133	(	(	PUNCT
fumecheng-7346	178	134	36	36	NUM
fumecheng-7346	178	135	)	)	PUNCT
fumecheng-7346	178	136	3	3	NUM
fumecheng-7346	178	137	5	5	NUM
fumecheng-7346	178	138	7	7	NUM
fumecheng-7346	178	139	3	3	NUM
fumecheng-7346	178	140	2	2	NUM
fumecheng-7346	178	141	5	5	NUM
fumecheng-7346	178	142	23	23	NUM
fumecheng-7346	178	143	4	4	NUM
fumecheng-7346	178	144	3	3	NUM
fumecheng-7346	178	145	5	5	NUM
fumecheng-7346	178	146	3	3	NUM
fumecheng-7346	178	147	6	6	NUM
fumecheng-7346	178	148	54	54	NUM
fumecheng-7346	178	149	2	2	NUM
fumecheng-7346	178	150	7	7	NUM
fumecheng-7346	178	151	2	2	NUM
fumecheng-7346	178	152	3	3	NUM
fumecheng-7346	178	153	2	2	NUM
fumecheng-7346	178	154	5	5	NUM
fumecheng-7346	178	155	2	2	NUM
fumecheng-7346	178	156	3	3	NUM
fumecheng-7346	178	157	4	4	NUM
fumecheng-7346	178	158	5	5	NUM
fumecheng-7346	178	159	46	46	NUM
fumecheng-7346	178	160	1	1	NUM
fumecheng-7346	178	161	2	2	NUM
fumecheng-7346	178	162	1	1	NUM
fumecheng-7346	178	163	2	2	NUM
fumecheng-7346	178	164	5	5	NUM
fumecheng-7346	178	165	21	21	NUM
fumecheng-7346	178	166	459	459	NUM
fumecheng-7346	178	167	4	4	NUM
fumecheng-7346	178	168	16	16	NUM
fumecheng-7346	178	169	64	64	NUM
fumecheng-7346	178	170	4	4	NUM
fumecheng-7346	178	171	16	16	NUM
fumecheng-7346	178	172	189	189	NUM
fumecheng-7346	178	173	5	5	NUM
fumecheng-7346	178	174	9	9	NUM
fumecheng-7346	178	175	45	45	NUM
fumecheng-7346	178	176	64	64	NUM
fumecheng-7346	178	177	4	4	NUM
fumecheng-7346	178	178	16	16	NUM
fumecheng-7346	178	179	4	4	NUM
fumecheng-7346	178	180	16	16	NUM
fumecheng-7346	179	1	b	b	PROPN
fumecheng-7346	179	2	b	b	PROPN
fumecheng-7346	179	3	b	b	PROPN
fumecheng-7346	179	4	b	b	PROPN
fumecheng-7346	179	5	b	b	PROPN
fumecheng-7346	179	6	b	b	PROPN
fumecheng-7346	179	7	bb	bb	INTJ
fumecheng-7346	179	8	a	a	PRON
fumecheng-7346	179	9	a	a	DET
fumecheng-7346	179	10	a	a	DET
fumecheng-7346	179	11	a	a	DET
fumecheng-7346	179	12	a	a	DET
fumecheng-7346	179	13	b	b	PROPN
fumecheng-7346	179	14	b	b	PROPN
fumecheng-7346	179	15	b	b	PROPN
fumecheng-7346	179	16	b	b	PROPN
fumecheng-7346	179	17	b	b	PROPN
fumecheng-7346	179	18	a	a	PRON
fumecheng-7346	179	19	a	a	PRON
fumecheng-7346	179	20	a	a	PRON
fumecheng-7346	179	21	a	a	DET
fumecheng-7346	179	22	a	a	PROPN
fumecheng-7346	179	23			ADJ
fumecheng-7346	179	24			VERB
fumecheng-7346	179	25	=	=	SYM
fumecheng-7346	179	26	−	−	PROPN
fumecheng-7346	179	27	−	−	NOUN
fumecheng-7346	180	1	−	−	PROPN
fumecheng-7346	180	2	−	−	PROPN
fumecheng-7346	180	3			PROPN
fumecheng-7346	181	1	−	−	PROPN
fumecheng-7346	181	2			PROPN
fumecheng-7346	181	3	−	−	PROPN
fumecheng-7346	181	4			PROPN
fumecheng-7346	182	1	+	+	CCONJ
fumecheng-7346	182	2			PROPN
fumecheng-7346	182	3	+	+	CCONJ
fumecheng-7346	182	4			PROPN
fumecheng-7346	183	1	+	+	CCONJ
fumecheng-7346	183	2			PROPN
fumecheng-7346	183	3	+	+	CCONJ
fumecheng-7346	183	4			PROPN
fumecheng-7346	183	5	(	(	PUNCT
fumecheng-7346	183	6	37	37	NUM
fumecheng-7346	183	7	)	)	PUNCT
fumecheng-7346	183	8	5	5	NUM
fumecheng-7346	183	9	7	7	NUM
fumecheng-7346	183	10	5	5	NUM
fumecheng-7346	183	11	2	2	NUM
fumecheng-7346	183	12	7	7	NUM
fumecheng-7346	183	13	2	2	NUM
fumecheng-7346	183	14	5	5	NUM
fumecheng-7346	183	15	2	2	NUM
fumecheng-7346	183	16	5	5	NUM
fumecheng-7346	183	17	43	43	NUM
fumecheng-7346	183	18	5	5	NUM
fumecheng-7346	183	19	3	3	NUM
fumecheng-7346	183	20	6	6	NUM
fumecheng-7346	183	21	5	5	NUM
fumecheng-7346	183	22	6	6	NUM
fumecheng-7346	183	23	2	2	NUM
fumecheng-7346	183	24	2	2	NUM
fumecheng-7346	183	25	3	3	NUM
fumecheng-7346	183	26	7	7	NUM
fumecheng-7346	183	27	25	25	NUM
fumecheng-7346	183	28	175	175	NUM
fumecheng-7346	183	29	25	25	NUM
fumecheng-7346	183	30	16	16	NUM
fumecheng-7346	183	31	64	64	NUM
fumecheng-7346	183	32	16	16	NUM
fumecheng-7346	183	33	64	64	NUM
fumecheng-7346	183	34	16	16	NUM
fumecheng-7346	183	35	16	16	NUM
fumecheng-7346	183	36	b	b	PROPN
fumecheng-7346	183	37	b	b	PROPN
fumecheng-7346	183	38	b	b	PROPN
fumecheng-7346	183	39	b	b	PROPN
fumecheng-7346	183	40	b	b	PROPN
fumecheng-7346	183	41	b	b	PROPN
fumecheng-7346	183	42	b	b	PROPN
fumecheng-7346	183	43	b	b	PROPN
fumecheng-7346	183	44	a	a	DET
fumecheng-7346	183	45	a	a	DET
fumecheng-7346	183	46	a	a	DET
fumecheng-7346	183	47	a	a	DET
fumecheng-7346	183	48	a	a	DET
fumecheng-7346	183	49	a	a	PROPN
fumecheng-7346	183	50	=	=	PUNCT
fumecheng-7346	184	1	−	−	PROPN
fumecheng-7346	184	2	−	−	PROPN
fumecheng-7346	185	1	−	−	PROPN
fumecheng-7346	185	2			PROPN
fumecheng-7346	185	3	−	−	PROPN
fumecheng-7346	185	4			PROPN
fumecheng-7346	186	1	+	+	CCONJ
fumecheng-7346	186	2			PROPN
fumecheng-7346	186	3	+	+	CCONJ
fumecheng-7346	186	4			PROPN
fumecheng-7346	186	5	(	(	PUNCT
fumecheng-7346	186	6	38	38	NUM
fumecheng-7346	186	7	)	)	PUNCT
fumecheng-7346	186	8	7	7	NUM
fumecheng-7346	186	9	7	7	NUM
fumecheng-7346	186	10	23	23	NUM
fumecheng-7346	186	11	6	6	NUM
fumecheng-7346	186	12	6	6	NUM
fumecheng-7346	186	13	4	4	NUM
fumecheng-7346	186	14	49	49	NUM
fumecheng-7346	186	15	64	64	NUM
fumecheng-7346	187	1	64	64	NUM
fumecheng-7346	187	2	b	b	NOUN
fumecheng-7346	187	3	b	b	PROPN
fumecheng-7346	187	4	b	b	PROPN
fumecheng-7346	187	5	a	a	DET
fumecheng-7346	187	6	a	a	PROPN
fumecheng-7346	187	7	=	=	SYM
fumecheng-7346	188	1	−	−	PROPN
fumecheng-7346	188	2	−	−	PROPN
fumecheng-7346	188	3			PROPN
fumecheng-7346	188	4	(	(	PUNCT
fumecheng-7346	188	5	39	39	NUM
fumecheng-7346	188	6	)	)	PUNCT
fumecheng-7346	188	7	608	608	NUM
fumecheng-7346	188	8	n.	n.	NOUN
fumecheng-7346	188	9	anjum	anjum	PROPN
fumecheng-7346	188	10	,	,	PUNCT
fumecheng-7346	188	11	j.-h	j.-h	PROPN
fumecheng-7346	188	12	.	.	PUNCT
fumecheng-7346	189	1	he	he	PRON
fumecheng-7346	189	2	,	,	PUNCT
fumecheng-7346	189	3	q.	q.	PROPN
fumecheng-7346	189	4	t.	t.	PROPN
fumecheng-7346	189	5	ain	ain	PROPN
fumecheng-7346	189	6	,	,	PUNCT
fumecheng-7346	189	7	d.	d.	PROPN
fumecheng-7346	189	8	tian	tian	PROPN
fumecheng-7346	189	9	requirement	requirement	NOUN
fumecheng-7346	189	10	of	of	ADP
fumecheng-7346	189	11	no	no	DET
fumecheng-7346	189	12	secular	secular	ADJ
fumecheng-7346	189	13	term	term	NOUN
fumecheng-7346	189	14	needs	need	VERB
fumecheng-7346	189	15	3	3	NUM
fumecheng-7346	189	16	5	5	NUM
fumecheng-7346	189	17	7	7	NUM
fumecheng-7346	189	18	3	3	NUM
fumecheng-7346	189	19	2	2	NUM
fumecheng-7346	189	20	5	5	NUM
fumecheng-7346	189	21	23	23	NUM
fumecheng-7346	189	22	4	4	NUM
fumecheng-7346	189	23	3	3	NUM
fumecheng-7346	189	24	5	5	NUM
fumecheng-7346	189	25	3	3	NUM
fumecheng-7346	189	26	6	6	NUM
fumecheng-7346	189	27	54	54	NUM
fumecheng-7346	189	28	1	1	NUM
fumecheng-7346	189	29	7	7	NUM
fumecheng-7346	189	30	2	2	NUM
fumecheng-7346	189	31	3	3	NUM
fumecheng-7346	189	32	2	2	NUM
fumecheng-7346	189	33	5	5	NUM
fumecheng-7346	189	34	2	2	NUM
fumecheng-7346	189	35	3	3	NUM
fumecheng-7346	189	36	4	4	NUM
fumecheng-7346	189	37	5	5	NUM
fumecheng-7346	189	38	46	46	NUM
fumecheng-7346	189	39	1	1	NUM
fumecheng-7346	189	40	2	2	NUM
fumecheng-7346	189	41	1	1	NUM
fumecheng-7346	189	42	2	2	NUM
fumecheng-7346	189	43	3	3	NUM
fumecheng-7346	189	44	5	5	NUM
fumecheng-7346	189	45	35	35	NUM
fumecheng-7346	189	46	53	53	NUM
fumecheng-7346	189	47	4	4	NUM
fumecheng-7346	189	48	8	8	NUM
fumecheng-7346	189	49	64	64	NUM
fumecheng-7346	189	50	4	4	NUM
fumecheng-7346	189	51	8	8	NUM
fumecheng-7346	189	52	35	35	NUM
fumecheng-7346	189	53	3	3	NUM
fumecheng-7346	189	54	5	5	NUM
fumecheng-7346	189	55	3	3	NUM
fumecheng-7346	189	56	5	5	NUM
fumecheng-7346	189	57	0	0	NUM
fumecheng-7346	189	58	64	64	NUM
fumecheng-7346	189	59	4	4	NUM
fumecheng-7346	189	60	8	8	NUM
fumecheng-7346	189	61	4	4	NUM
fumecheng-7346	189	62	8	8	NUM
fumecheng-7346	189	63	b	b	PROPN
fumecheng-7346	189	64	b	b	PROPN
fumecheng-7346	189	65	b	b	PROPN
fumecheng-7346	189	66	b	b	PROPN
fumecheng-7346	189	67	b	b	PROPN
fumecheng-7346	189	68	b	b	PROPN
fumecheng-7346	189	69	bb	bb	INTJ
fumecheng-7346	189	70	a	a	PRON
fumecheng-7346	189	71	a	a	DET
fumecheng-7346	189	72	a	a	DET
fumecheng-7346	189	73	a	a	DET
fumecheng-7346	189	74	a	a	DET
fumecheng-7346	189	75	a	a	DET
fumecheng-7346	189	76	b	b	PROPN
fumecheng-7346	189	77	b	b	PROPN
fumecheng-7346	189	78	b	b	PROPN
fumecheng-7346	189	79	b	b	PROPN
fumecheng-7346	189	80	b	b	PROPN
fumecheng-7346	189	81	a	a	DET
fumecheng-7346	189	82	a	a	DET
fumecheng-7346	189	83	a	a	DET
fumecheng-7346	189	84	a	a	DET
fumecheng-7346	189	85	a	a	PROPN
fumecheng-7346	189	86			ADJ
fumecheng-7346	189	87	−	−	PROPN
fumecheng-7346	189	88			PROPN
fumecheng-7346	190	1	−	−	PROPN
fumecheng-7346	190	2	−	−	PROPN
fumecheng-7346	191	1	−	−	PROPN
fumecheng-7346	191	2	−	−	PROPN
fumecheng-7346	191	3			PROPN
fumecheng-7346	192	1	−	−	PROPN
fumecheng-7346	192	2			PROPN
fumecheng-7346	192	3	−	−	PROPN
fumecheng-7346	192	4			PROPN
fumecheng-7346	193	1	+	+	CCONJ
fumecheng-7346	193	2			PROPN
fumecheng-7346	193	3	+	+	CCONJ
fumecheng-7346	193	4			PROPN
fumecheng-7346	194	1	+	+	CCONJ
fumecheng-7346	194	2			PROPN
fumecheng-7346	194	3	+	+	CCONJ
fumecheng-7346	194	4			PROPN
fumecheng-7346	195	1	=	=	PUNCT
fumecheng-7346	195	2	(	(	PUNCT
fumecheng-7346	195	3	40	40	NUM
fumecheng-7346	195	4	)	)	PUNCT
fumecheng-7346	195	5	if	if	SCONJ
fumecheng-7346	195	6	it	it	PRON
fumecheng-7346	195	7	is	be	AUX
fumecheng-7346	195	8	enough	enough	ADJ
fumecheng-7346	195	9	to	to	PART
fumecheng-7346	195	10	obtain	obtain	VERB
fumecheng-7346	195	11	the	the	DET
fumecheng-7346	195	12	first	first	ADJ
fumecheng-7346	195	13	-	-	PUNCT
fumecheng-7346	195	14	order	order	NOUN
fumecheng-7346	195	15	approximate	approximate	ADJ
fumecheng-7346	195	16	solution	solution	NOUN
fumecheng-7346	195	17	,	,	PUNCT
fumecheng-7346	195	18	then	then	ADV
fumecheng-7346	195	19	from	from	ADP
fumecheng-7346	195	20	eq	eq	ADP
fumecheng-7346	195	21	.	.	PUNCT
fumecheng-7346	195	22	(	(	PUNCT
fumecheng-7346	195	23	30	30	NUM
fumecheng-7346	195	24	)	)	PUNCT
fumecheng-7346	195	25	,	,	PUNCT
fumecheng-7346	195	26	we	we	PRON
fumecheng-7346	195	27	yield	yield	VERB
fumecheng-7346	195	28	2	2	NUM
fumecheng-7346	195	29	4	4	NUM
fumecheng-7346	195	30	1	1	NUM
fumecheng-7346	195	31			NOUN
fumecheng-7346	195	32	=	=	SYM
fumecheng-7346	195	33	−	−	PROPN
fumecheng-7346	195	34	(	(	PUNCT
fumecheng-7346	195	35	41	41	NUM
fumecheng-7346	195	36	)	)	PUNCT
fumecheng-7346	195	37	solving	solve	VERB
fumecheng-7346	195	38	ω	ω	NUM
fumecheng-7346	195	39	from	from	ADP
fumecheng-7346	195	40	eqs.(40	eqs.(40	PROPN
fumecheng-7346	195	41	)	)	PUNCT
fumecheng-7346	195	42	and	and	CCONJ
fumecheng-7346	195	43	(	(	PUNCT
fumecheng-7346	195	44	41	41	NUM
fumecheng-7346	195	45	)	)	PUNCT
fumecheng-7346	195	46	we	we	PRON
fumecheng-7346	195	47	have	have	VERB
fumecheng-7346	195	48	2	2	NUM
fumecheng-7346	195	49	4	4	NUM
fumecheng-7346	195	50	6	6	NUM
fumecheng-7346	195	51	3	3	NUM
fumecheng-7346	195	52	4	4	NUM
fumecheng-7346	195	53	5	5	NUM
fumecheng-7346	195	54	6	6	NUM
fumecheng-7346	195	55	2	2	NUM
fumecheng-7346	195	56	4	4	NUM
fumecheng-7346	195	57	1	1	NUM
fumecheng-7346	195	58	2	2	NUM
fumecheng-7346	195	59	3	3	NUM
fumecheng-7346	195	60	5	5	NUM
fumecheng-7346	195	61	35	35	NUM
fumecheng-7346	195	62	4	4	NUM
fumecheng-7346	195	63	8	8	NUM
fumecheng-7346	195	64	64	64	NUM
fumecheng-7346	195	65	3	3	NUM
fumecheng-7346	195	66	5	5	NUM
fumecheng-7346	195	67	1	1	NUM
fumecheng-7346	195	68	4	4	NUM
fumecheng-7346	195	69	8	8	NUM
fumecheng-7346	195	70	b	b	SYM
fumecheng-7346	195	71	b	b	PROPN
fumecheng-7346	195	72	a	a	DET
fumecheng-7346	195	73	b	b	NOUN
fumecheng-7346	195	74	a	a	DET
fumecheng-7346	195	75	b	b	NOUN
fumecheng-7346	195	76	a	a	DET
fumecheng-7346	195	77	b	b	NOUN
fumecheng-7346	195	78	a	a	DET
fumecheng-7346	195	79	b	b	NOUN
fumecheng-7346	195	80	a	a	PRON
fumecheng-7346	195	81	+	+	PROPN
fumecheng-7346	195	82	+	+	CCONJ
fumecheng-7346	195	83	+	+	NUM
fumecheng-7346	195	84			X
fumecheng-7346	195	85	=	=	X
fumecheng-7346	196	1	+	+	CCONJ
fumecheng-7346	196	2	+	+	CCONJ
fumecheng-7346	196	3	(	(	PUNCT
fumecheng-7346	196	4	42	42	NUM
fumecheng-7346	196	5	)	)	PUNCT
fumecheng-7346	196	6	and	and	CCONJ
fumecheng-7346	196	7	the	the	DET
fumecheng-7346	196	8	corresponding	corresponding	ADJ
fumecheng-7346	196	9	approximate	approximate	ADJ
fumecheng-7346	196	10	solution	solution	NOUN
fumecheng-7346	196	11	of	of	ADP
fumecheng-7346	196	12	eq	eq	PROPN
fumecheng-7346	196	13	.	.	PUNCT
fumecheng-7346	197	1	(	(	PUNCT
fumecheng-7346	197	2	12	12	NUM
fumecheng-7346	197	3	)	)	PUNCT
fumecheng-7346	197	4	is	be	AUX
fumecheng-7346	197	5	2	2	NUM
fumecheng-7346	197	6	4	4	NUM
fumecheng-7346	197	7	6	6	NUM
fumecheng-7346	197	8	3	3	NUM
fumecheng-7346	197	9	4	4	NUM
fumecheng-7346	197	10	5	5	NUM
fumecheng-7346	197	11	6	6	NUM
fumecheng-7346	197	12	2	2	NUM
fumecheng-7346	197	13	4	4	NUM
fumecheng-7346	197	14	0	0	NUM
fumecheng-7346	197	15	1	1	NUM
fumecheng-7346	197	16	2	2	NUM
fumecheng-7346	197	17	64	64	NUM
fumecheng-7346	197	18	48	48	NUM
fumecheng-7346	197	19	40	40	NUM
fumecheng-7346	197	20	35	35	NUM
fumecheng-7346	197	21	(	(	PUNCT
fumecheng-7346	197	22	)	)	PUNCT
fumecheng-7346	197	23	cos	cos	ADP
fumecheng-7346	197	24	64	64	NUM
fumecheng-7346	197	25	48	48	NUM
fumecheng-7346	197	26	40	40	NUM
fumecheng-7346	197	27	c	c	NOUN
fumecheng-7346	197	28	c	c	NOUN
fumecheng-7346	197	29	a	a	DET
fumecheng-7346	197	30	c	c	NOUN
fumecheng-7346	197	31	a	a	DET
fumecheng-7346	197	32	c	c	NOUN
fumecheng-7346	197	33	a	a	DET
fumecheng-7346	197	34	t	t	NOUN
fumecheng-7346	197	35	a	a	DET
fumecheng-7346	197	36	t	t	NOUN
fumecheng-7346	197	37	c	c	NOUN
fumecheng-7346	197	38	c	c	NOUN
fumecheng-7346	197	39	a	a	DET
fumecheng-7346	197	40	c	c	NOUN
fumecheng-7346	197	41	a	a	DET
fumecheng-7346	197	42			NOUN
fumecheng-7346	197	43			NOUN
fumecheng-7346	197	44	+	+	VERB
fumecheng-7346	197	45	+	+	CCONJ
fumecheng-7346	197	46	+	+	CCONJ
fumecheng-7346	197	47			PROPN
fumecheng-7346	197	48	=	=	ADJ
fumecheng-7346	197	49			PROPN
fumecheng-7346	197	50	+	+	PROPN
fumecheng-7346	197	51	+	+	CCONJ
fumecheng-7346	197	52			PROPN
fumecheng-7346	197	53			NOUN
fumecheng-7346	197	54	(	(	PUNCT
fumecheng-7346	197	55	43	43	NUM
fumecheng-7346	197	56	)	)	PUNCT
fumecheng-7346	197	57	which	which	PRON
fumecheng-7346	197	58	is	be	AUX
fumecheng-7346	197	59	different	different	ADJ
fumecheng-7346	197	60	from	from	ADP
fumecheng-7346	197	61	the	the	DET
fumecheng-7346	197	62	solution	solution	NOUN
fumecheng-7346	197	63	gained	gain	VERB
fumecheng-7346	197	64	by	by	ADP
fumecheng-7346	197	65	ebm	ebm	NOUN
fumecheng-7346	198	1	[	[	X
fumecheng-7346	198	2	11	11	NUM
fumecheng-7346	198	3	]	]	SYM
fumecheng-7346	198	4	.	.	PUNCT
fumecheng-7346	199	1	5	5	X
fumecheng-7346	199	2	.	.	X
fumecheng-7346	199	3	results	result	NOUN
fumecheng-7346	199	4	and	and	CCONJ
fumecheng-7346	199	5	discussion	discussion	VERB
fumecheng-7346	199	6	the	the	DET
fumecheng-7346	199	7	analytic	analytic	ADJ
fumecheng-7346	199	8	nonlinear	nonlinear	ADJ
fumecheng-7346	199	9	frequency	frequency	NOUN
fumecheng-7346	199	10	and	and	CCONJ
fumecheng-7346	199	11	the	the	DET
fumecheng-7346	199	12	approximate	approximate	ADJ
fumecheng-7346	199	13	solution	solution	NOUN
fumecheng-7346	199	14	for	for	ADP
fumecheng-7346	199	15	the	the	DET
fumecheng-7346	199	16	vibration	vibration	NOUN
fumecheng-7346	199	17	of	of	ADP
fumecheng-7346	199	18	microbeam	microbeam	NOUN
fumecheng-7346	199	19	can	can	AUX
fumecheng-7346	199	20	be	be	AUX
fumecheng-7346	199	21	calculated	calculate	VERB
fumecheng-7346	199	22	from	from	ADP
fumecheng-7346	199	23	eqs	eqs	PROPN
fumecheng-7346	199	24	.	.	PUNCT
fumecheng-7346	200	1	(	(	PUNCT
fumecheng-7346	200	2	42	42	NUM
fumecheng-7346	200	3	)	)	PUNCT
fumecheng-7346	200	4	and	and	CCONJ
fumecheng-7346	200	5	(	(	PUNCT
fumecheng-7346	200	6	43	43	NUM
fumecheng-7346	200	7	)	)	PUNCT
fumecheng-7346	200	8	,	,	PUNCT
fumecheng-7346	200	9	respectively	respectively	ADV
fumecheng-7346	200	10	.	.	PUNCT
fumecheng-7346	201	1	a	a	DET
fumecheng-7346	201	2	comparison	comparison	NOUN
fumecheng-7346	201	3	between	between	ADP
fumecheng-7346	201	4	the	the	DET
fumecheng-7346	201	5	frequencies	frequency	NOUN
fumecheng-7346	201	6	obtained	obtain	VERB
fumecheng-7346	201	7	from	from	ADP
fumecheng-7346	201	8	li	li	PROPN
fumecheng-7346	201	9	-	-	PROPN
fumecheng-7346	201	10	he	he	PRON
fumecheng-7346	201	11	’s	’	VERB
fumecheng-7346	201	12	approach	approach	NOUN
fumecheng-7346	201	13	and	and	CCONJ
fumecheng-7346	201	14	those	those	PRON
fumecheng-7346	201	15	gained	gain	VERB
fumecheng-7346	201	16	by	by	ADP
fumecheng-7346	201	17	rk	rk	PRON
fumecheng-7346	201	18	is	be	AUX
fumecheng-7346	201	19	demonstrated	demonstrate	VERB
fumecheng-7346	201	20	in	in	ADP
fumecheng-7346	201	21	table	table	NOUN
fumecheng-7346	201	22	1	1	NUM
fumecheng-7346	201	23	for	for	ADP
fumecheng-7346	201	24	different	different	ADJ
fumecheng-7346	201	25	parameters	parameter	NOUN
fumecheng-7346	201	26	.	.	PUNCT
fumecheng-7346	202	1	it	it	PRON
fumecheng-7346	202	2	displays	display	VERB
fumecheng-7346	202	3	the	the	DET
fumecheng-7346	202	4	high	high	ADJ
fumecheng-7346	202	5	correctness	correctness	NOUN
fumecheng-7346	202	6	of	of	ADP
fumecheng-7346	202	7	the	the	DET
fumecheng-7346	202	8	proposed	propose	VERB
fumecheng-7346	202	9	solution	solution	NOUN
fumecheng-7346	202	10	as	as	SCONJ
fumecheng-7346	202	11	the	the	DET
fumecheng-7346	202	12	maximum	maximum	ADJ
fumecheng-7346	202	13	percentage	percentage	NOUN
fumecheng-7346	202	14	error	error	NOUN
fumecheng-7346	202	15	is	be	AUX
fumecheng-7346	202	16	not	not	PART
fumecheng-7346	202	17	greater	great	ADJ
fumecheng-7346	202	18	than	than	ADP
fumecheng-7346	202	19	1	1	NUM
fumecheng-7346	202	20	%	%	NOUN
fumecheng-7346	202	21	.	.	PUNCT
fumecheng-7346	203	1	this	this	DET
fumecheng-7346	203	2	table	table	NOUN
fumecheng-7346	203	3	and	and	CCONJ
fumecheng-7346	203	4	the	the	DET
fumecheng-7346	203	5	graphs	graph	NOUN
fumecheng-7346	203	6	of	of	ADP
fumecheng-7346	203	7	figs	fig	NOUN
fumecheng-7346	203	8	.	.	PUNCT
fumecheng-7346	203	9	2	2	NUM
fumecheng-7346	203	10	and	and	CCONJ
fumecheng-7346	203	11	3	3	NUM
fumecheng-7346	203	12	specify	specify	VERB
fumecheng-7346	203	13	that	that	SCONJ
fumecheng-7346	203	14	the	the	DET
fumecheng-7346	203	15	analytic	analytic	ADJ
fumecheng-7346	203	16	solution	solution	NOUN
fumecheng-7346	203	17	accomplished	accomplish	VERB
fumecheng-7346	203	18	by	by	ADP
fumecheng-7346	203	19	li	li	PROPN
fumecheng-7346	203	20	-	-	PROPN
fumecheng-7346	203	21	he	he	PRON
fumecheng-7346	203	22	’s	’	VERB
fumecheng-7346	203	23	approach	approach	NOUN
fumecheng-7346	203	24	,	,	PUNCT
fumecheng-7346	203	25	eqs	eqs	X
fumecheng-7346	203	26	.	.	PUNCT
fumecheng-7346	204	1	(	(	PUNCT
fumecheng-7346	204	2	42	42	NUM
fumecheng-7346	204	3	)	)	PUNCT
fumecheng-7346	204	4	and	and	CCONJ
fumecheng-7346	204	5	(	(	PUNCT
fumecheng-7346	204	6	43	43	NUM
fumecheng-7346	204	7	)	)	PUNCT
fumecheng-7346	204	8	,	,	PUNCT
fumecheng-7346	204	9	can	can	AUX
fumecheng-7346	204	10	estimate	estimate	VERB
fumecheng-7346	204	11	the	the	DET
fumecheng-7346	204	12	dynamic	dynamic	ADJ
fumecheng-7346	204	13	vibrational	vibrational	ADJ
fumecheng-7346	204	14	activities	activity	NOUN
fumecheng-7346	204	15	of	of	ADP
fumecheng-7346	204	16	the	the	DET
fumecheng-7346	204	17	microbeams	microbeam	NOUN
fumecheng-7346	204	18	acceptably	acceptably	ADV
fumecheng-7346	204	19	.	.	PUNCT
fumecheng-7346	205	1	this	this	PRON
fumecheng-7346	205	2	approves	approve	VERB
fumecheng-7346	205	3	the	the	DET
fumecheng-7346	205	4	validity	validity	NOUN
fumecheng-7346	205	5	of	of	ADP
fumecheng-7346	205	6	the	the	DET
fumecheng-7346	205	7	proposed	propose	VERB
fumecheng-7346	205	8	solution	solution	NOUN
fumecheng-7346	205	9	.	.	PUNCT
fumecheng-7346	206	1	table	table	NOUN
fumecheng-7346	206	2	1	1	NUM
fumecheng-7346	206	3	comparison	comparison	NOUN
fumecheng-7346	206	4	of	of	ADP
fumecheng-7346	206	5	analytic	analytic	ADJ
fumecheng-7346	206	6	frequency	frequency	NOUN
fumecheng-7346	206	7	obtained	obtain	VERB
fumecheng-7346	206	8	by	by	ADP
fumecheng-7346	206	9	li	li	PROPN
fumecheng-7346	206	10	-	-	PROPN
fumecheng-7346	206	11	he	he	PRON
fumecheng-7346	206	12	and	and	CCONJ
fumecheng-7346	206	13	rk	rk	PROPN
fumecheng-7346	206	14	methods	method	NOUN
fumecheng-7346	206	15	a	a	DET
fumecheng-7346	206	16	n	n	ADV
fumecheng-7346	206	17	α	α	PRON
fumecheng-7346	206	18	v	v	NOUN
fumecheng-7346	206	19	ωrk	ωrk	VERB
fumecheng-7346	206	20	ωli	ωli	NOUN
fumecheng-7346	206	21	-	-	PUNCT
fumecheng-7346	206	22	he	he	PRON
fumecheng-7346	206	23	error	error	NOUN
fumecheng-7346	206	24	(	(	PUNCT
fumecheng-7346	206	25	%	%	INTJ
fumecheng-7346	206	26	)	)	PUNCT
fumecheng-7346	206	27	0.15	0.15	NUM
fumecheng-7346	206	28	12	12	NUM
fumecheng-7346	206	29	20	20	NUM
fumecheng-7346	206	30	15	15	NUM
fumecheng-7346	206	31	22.9224	22.9224	NUM
fumecheng-7346	206	32	22.8896	22.8896	NUM
fumecheng-7346	207	1	0.1431	0.1431	NUM
fumecheng-7346	207	2	0.15	0.15	NUM
fumecheng-7346	207	3	18	18	NUM
fumecheng-7346	207	4	50	50	NUM
fumecheng-7346	207	5	15	15	NUM
fumecheng-7346	207	6	29.8489	29.8489	NUM
fumecheng-7346	207	7	29.8222	29.8222	NUM
fumecheng-7346	207	8	0.0269	0.0269	NUM
fumecheng-7346	207	9	0.3	0.3	NUM
fumecheng-7346	207	10	6	6	NUM
fumecheng-7346	207	11	35	35	NUM
fumecheng-7346	207	12	10	10	NUM
fumecheng-7346	207	13	28.8737	28.8737	NUM
fumecheng-7346	207	14	28.8882	28.8882	NUM
fumecheng-7346	207	15	0.0502	0.0502	NUM
fumecheng-7346	207	16	0.3	0.3	NUM
fumecheng-7346	207	17	24	24	NUM
fumecheng-7346	207	18	10	10	NUM
fumecheng-7346	207	19	20	20	NUM
fumecheng-7346	207	20	16.6002	16.6002	NUM
fumecheng-7346	207	21	16.6422	16.6422	NUM
fumecheng-7346	207	22	0.2530	0.2530	NUM
fumecheng-7346	207	23	0.45	0.45	NUM
fumecheng-7346	207	24	12	12	NUM
fumecheng-7346	207	25	20	20	NUM
fumecheng-7346	207	26	5	5	NUM
fumecheng-7346	207	27	28.5210	28.5210	NUM
fumecheng-7346	207	28	28.4952	28.4952	NUM
fumecheng-7346	207	29	0.0905	0.0905	NUM
fumecheng-7346	207	30	0.45	0.45	NUM
fumecheng-7346	207	31	24	24	NUM
fumecheng-7346	207	32	10	10	NUM
fumecheng-7346	207	33	10	10	NUM
fumecheng-7346	207	34	26.4555	26.4555	NUM
fumecheng-7346	207	35	26.5042	26.5042	NUM
fumecheng-7346	207	36	0.1841	0.1841	NUM
fumecheng-7346	207	37	0.6	0.6	NUM
fumecheng-7346	207	38	6	6	NUM
fumecheng-7346	207	39	25	25	NUM
fumecheng-7346	207	40	5	5	NUM
fumecheng-7346	207	41	29.0216	29.0216	NUM
fumecheng-7346	207	42	29.0262	29.0262	NUM
fumecheng-7346	207	43	0.0159	0.0159	NUM
fumecheng-7346	207	44	0.6	0.6	NUM
fumecheng-7346	207	45	18	18	NUM
fumecheng-7346	207	46	40	40	NUM
fumecheng-7346	207	47	5	5	NUM
fumecheng-7346	207	48	33.8716	33.8716	NUM
fumecheng-7346	207	49	34.0674	34.0674	NUM
fumecheng-7346	207	50	0.5781	0.5781	NUM
fumecheng-7346	207	51	li	li	NOUN
fumecheng-7346	207	52	-	-	PROPN
fumecheng-7346	207	53	he	he	PRON
fumecheng-7346	207	54	’s	’	VERB
fumecheng-7346	207	55	modified	modify	VERB
fumecheng-7346	207	56	homotopy	homotopy	NOUN
fumecheng-7346	207	57	perturbation	perturbation	NOUN
fumecheng-7346	207	58	method	method	NOUN
fumecheng-7346	207	59	for	for	ADP
fumecheng-7346	207	60	doubly	doubly	ADV
fumecheng-7346	207	61	-	-	PUNCT
fumecheng-7346	207	62	clamped	clamp	VERB
fumecheng-7346	207	63	electrically	electrically	ADV
fumecheng-7346	207	64	actuated	actuate	VERB
fumecheng-7346	207	65	...	...	PUNCT
fumecheng-7346	207	66	609	609	NUM
fumecheng-7346	207	67	fig	fig	NOUN
fumecheng-7346	207	68	.	.	PUNCT
fumecheng-7346	208	1	2	2	NUM
fumecheng-7346	208	2	comparison	comparison	NOUN
fumecheng-7346	208	3	of	of	ADP
fumecheng-7346	208	4	solutions	solution	NOUN
fumecheng-7346	208	5	and	and	CCONJ
fumecheng-7346	208	6	errors	error	NOUN
fumecheng-7346	208	7	of	of	ADP
fumecheng-7346	208	8	li	li	PROPN
fumecheng-7346	208	9	-	-	PROPN
fumecheng-7346	208	10	he	he	PRON
fumecheng-7346	208	11	’s	’s	AUX
fumecheng-7346	208	12	approach	approach	NOUN
fumecheng-7346	208	13	with	with	ADP
fumecheng-7346	208	14	ebm	ebm	NOUN
fumecheng-7346	208	15	for	for	ADP
fumecheng-7346	208	16	the	the	DET
fumecheng-7346	208	17	parameters	parameter	NOUN
fumecheng-7346	208	18	a=0.3	a=0.3	ADV
fumecheng-7346	208	19	,	,	PUNCT
fumecheng-7346	208	20	n=10	n=10	PRON
fumecheng-7346	208	21	,	,	PUNCT
fumecheng-7346	208	22	α	α	NOUN
fumecheng-7346	208	23	=	=	NOUN
fumecheng-7346	208	24	24	24	NUM
fumecheng-7346	208	25	,	,	PUNCT
fumecheng-7346	208	26	v=10	v=10	NOUN
fumecheng-7346	208	27	fig	fig	NOUN
fumecheng-7346	208	28	.	.	PUNCT
fumecheng-7346	209	1	3	3	NUM
fumecheng-7346	209	2	comparison	comparison	NOUN
fumecheng-7346	209	3	of	of	ADP
fumecheng-7346	209	4	solutions	solution	NOUN
fumecheng-7346	209	5	and	and	CCONJ
fumecheng-7346	209	6	errors	error	NOUN
fumecheng-7346	209	7	of	of	ADP
fumecheng-7346	209	8	li	li	PROPN
fumecheng-7346	209	9	-	-	PROPN
fumecheng-7346	209	10	he	he	PRON
fumecheng-7346	209	11	’s	’s	AUX
fumecheng-7346	209	12	approach	approach	NOUN
fumecheng-7346	209	13	with	with	ADP
fumecheng-7346	209	14	ebm	ebm	NOUN
fumecheng-7346	209	15	for	for	ADP
fumecheng-7346	209	16	the	the	DET
fumecheng-7346	209	17	parameters	parameter	NOUN
fumecheng-7346	209	18	a=0.45	a=0.45	ADV
fumecheng-7346	209	19	,	,	PUNCT
fumecheng-7346	209	20	n=20	n=20	PROPN
fumecheng-7346	209	21	,	,	PUNCT
fumecheng-7346	209	22	α	α	PROPN
fumecheng-7346	209	23	=	=	NOUN
fumecheng-7346	209	24	12	12	NUM
fumecheng-7346	209	25	,	,	PUNCT
fumecheng-7346	209	26	v=5	v=5	PROPN
fumecheng-7346	209	27	610	610	NUM
fumecheng-7346	209	28	n.	n.	PROPN
fumecheng-7346	209	29	anjum	anjum	PROPN
fumecheng-7346	209	30	,	,	PUNCT
fumecheng-7346	209	31	j.-h	j.-h	PROPN
fumecheng-7346	209	32	.	.	PUNCT
fumecheng-7346	210	1	he	he	PRON
fumecheng-7346	210	2	,	,	PUNCT
fumecheng-7346	210	3	q.	q.	PROPN
fumecheng-7346	210	4	t.	t.	PROPN
fumecheng-7346	210	5	ain	ain	PROPN
fumecheng-7346	210	6	,	,	PUNCT
fumecheng-7346	210	7	d.	d.	PROPN
fumecheng-7346	210	8	tian	tian	PROPN
fumecheng-7346	210	9	the	the	DET
fumecheng-7346	210	10	top	top	ADJ
fumecheng-7346	210	11	panels	panel	NOUN
fumecheng-7346	210	12	of	of	ADP
fumecheng-7346	210	13	figs	fig	NOUN
fumecheng-7346	210	14	.	.	PUNCT
fumecheng-7346	211	1	2	2	NUM
fumecheng-7346	211	2	and	and	CCONJ
fumecheng-7346	211	3	3	3	NUM
fumecheng-7346	211	4	compare	compare	VERB
fumecheng-7346	211	5	the	the	DET
fumecheng-7346	211	6	solutions	solution	NOUN
fumecheng-7346	211	7	obtained	obtain	VERB
fumecheng-7346	211	8	from	from	ADP
fumecheng-7346	211	9	li	li	PROPN
fumecheng-7346	211	10	-	-	PROPN
fumecheng-7346	211	11	he	he	PRON
fumecheng-7346	211	12	’s	’s	PART
fumecheng-7346	211	13	technique	technique	NOUN
fumecheng-7346	211	14	(	(	PUNCT
fumecheng-7346	211	15	red	red	ADJ
fumecheng-7346	211	16	line	line	NOUN
fumecheng-7346	211	17	)	)	PUNCT
fumecheng-7346	211	18	expressed	express	VERB
fumecheng-7346	211	19	in	in	ADP
fumecheng-7346	211	20	eq	eq	PROPN
fumecheng-7346	211	21	.	.	PUNCT
fumecheng-7346	212	1	(	(	PUNCT
fumecheng-7346	212	2	43	43	NUM
fumecheng-7346	212	3	)	)	PUNCT
fumecheng-7346	212	4	,	,	PUNCT
fumecheng-7346	212	5	ebm	ebm	X
fumecheng-7346	212	6	(	(	PUNCT
fumecheng-7346	212	7	black	black	ADJ
fumecheng-7346	212	8	line	line	NOUN
fumecheng-7346	212	9	)	)	PUNCT
fumecheng-7346	212	10	depicted	depict	VERB
fumecheng-7346	212	11	in	in	ADP
fumecheng-7346	212	12	ref	ref	NOUN
fumecheng-7346	212	13	.	.	PUNCT
fumecheng-7346	213	1	[	[	X
fumecheng-7346	213	2	28	28	NUM
fumecheng-7346	213	3	]	]	PUNCT
fumecheng-7346	213	4	with	with	ADP
fumecheng-7346	213	5	the	the	DET
fumecheng-7346	213	6	solution	solution	NOUN
fumecheng-7346	213	7	achieved	achieve	VERB
fumecheng-7346	213	8	by	by	ADP
fumecheng-7346	213	9	rk	rk	NOUN
fumecheng-7346	213	10	method	method	NOUN
fumecheng-7346	213	11	(	(	PUNCT
fumecheng-7346	213	12	blue	blue	ADJ
fumecheng-7346	213	13	line	line	NOUN
fumecheng-7346	213	14	)	)	PUNCT
fumecheng-7346	213	15	.	.	PUNCT
fumecheng-7346	214	1	this	this	DET
fumecheng-7346	214	2	comparison	comparison	NOUN
fumecheng-7346	214	3	validates	validate	VERB
fumecheng-7346	214	4	that	that	SCONJ
fumecheng-7346	214	5	the	the	DET
fumecheng-7346	214	6	findings	finding	NOUN
fumecheng-7346	214	7	from	from	ADP
fumecheng-7346	214	8	the	the	DET
fumecheng-7346	214	9	proposed	propose	VERB
fumecheng-7346	214	10	method	method	NOUN
fumecheng-7346	214	11	and	and	CCONJ
fumecheng-7346	214	12	those	those	PRON
fumecheng-7346	214	13	attained	attain	VERB
fumecheng-7346	214	14	by	by	ADP
fumecheng-7346	214	15	the	the	DET
fumecheng-7346	214	16	rk	rk	PROPN
fumecheng-7346	214	17	method	method	NOUN
fumecheng-7346	214	18	match	match	NOUN
fumecheng-7346	214	19	remarkably	remarkably	ADV
fumecheng-7346	214	20	well	well	ADV
fumecheng-7346	214	21	.	.	PUNCT
fumecheng-7346	215	1	we	we	PRON
fumecheng-7346	215	2	also	also	ADV
fumecheng-7346	215	3	show	show	VERB
fumecheng-7346	215	4	the	the	DET
fumecheng-7346	215	5	variation	variation	NOUN
fumecheng-7346	215	6	of	of	ADP
fumecheng-7346	215	7	errors	error	NOUN
fumecheng-7346	215	8	for	for	ADP
fumecheng-7346	215	9	the	the	DET
fumecheng-7346	215	10	said	say	VERB
fumecheng-7346	215	11	system	system	NOUN
fumecheng-7346	215	12	in	in	ADP
fumecheng-7346	215	13	the	the	DET
fumecheng-7346	215	14	bottom	bottom	ADJ
fumecheng-7346	215	15	panels	panel	NOUN
fumecheng-7346	215	16	of	of	ADP
fumecheng-7346	215	17	figs	fig	NOUN
fumecheng-7346	215	18	2	2	NUM
fumecheng-7346	215	19	and	and	CCONJ
fumecheng-7346	215	20	3	3	NUM
fumecheng-7346	215	21	.	.	PUNCT
fumecheng-7346	215	22	errors	error	NOUN
fumecheng-7346	215	23	of	of	ADP
fumecheng-7346	215	24	ebm	ebm	PROPN
fumecheng-7346	215	25	(	(	PUNCT
fumecheng-7346	215	26	black	black	ADJ
fumecheng-7346	215	27	stars	star	NOUN
fumecheng-7346	215	28	with	with	ADP
fumecheng-7346	215	29	solid	solid	ADJ
fumecheng-7346	215	30	line	line	NOUN
fumecheng-7346	215	31	)	)	PUNCT
fumecheng-7346	215	32	and	and	CCONJ
fumecheng-7346	215	33	errors	error	NOUN
fumecheng-7346	215	34	of	of	ADP
fumecheng-7346	215	35	li	li	PROPN
fumecheng-7346	215	36	-	-	PROPN
fumecheng-7346	215	37	he	he	PRON
fumecheng-7346	215	38	’s	’	VERB
fumecheng-7346	215	39	approach	approach	NOUN
fumecheng-7346	215	40	(	(	PUNCT
fumecheng-7346	215	41	red	red	ADJ
fumecheng-7346	215	42	squares	square	NOUN
fumecheng-7346	215	43	with	with	ADP
fumecheng-7346	215	44	solid	solid	ADJ
fumecheng-7346	215	45	line	line	NOUN
fumecheng-7346	215	46	)	)	PUNCT
fumecheng-7346	215	47	against	against	ADP
fumecheng-7346	215	48	time	time	NOUN
fumecheng-7346	215	49	confirm	confirm	VERB
fumecheng-7346	215	50	the	the	DET
fumecheng-7346	215	51	supremacy	supremacy	NOUN
fumecheng-7346	215	52	of	of	ADP
fumecheng-7346	215	53	the	the	DET
fumecheng-7346	215	54	proposed	propose	VERB
fumecheng-7346	215	55	technique	technique	NOUN
fumecheng-7346	215	56	over	over	ADP
fumecheng-7346	215	57	the	the	DET
fumecheng-7346	215	58	ebm	ebm	NOUN
fumecheng-7346	215	59	.	.	PROPN
fumecheng-7346	215	60	6	6	NUM
fumecheng-7346	215	61	.	.	X
fumecheng-7346	215	62	concluding	conclude	VERB
fumecheng-7346	215	63	remarks	remark	NOUN
fumecheng-7346	215	64	in	in	ADP
fumecheng-7346	215	65	this	this	DET
fumecheng-7346	215	66	research	research	NOUN
fumecheng-7346	215	67	study	study	NOUN
fumecheng-7346	215	68	,	,	PUNCT
fumecheng-7346	215	69	we	we	PRON
fumecheng-7346	215	70	have	have	AUX
fumecheng-7346	215	71	applied	apply	VERB
fumecheng-7346	215	72	hybridization	hybridization	NOUN
fumecheng-7346	215	73	of	of	ADP
fumecheng-7346	215	74	the	the	DET
fumecheng-7346	215	75	enhanced	enhance	VERB
fumecheng-7346	215	76	perturbation	perturbation	NOUN
fumecheng-7346	215	77	method	method	NOUN
fumecheng-7346	215	78	and	and	CCONJ
fumecheng-7346	215	79	the	the	DET
fumecheng-7346	215	80	parameter	parameter	NOUN
fumecheng-7346	215	81	expansion	expansion	NOUN
fumecheng-7346	215	82	technology	technology	NOUN
fumecheng-7346	215	83	(	(	PUNCT
fumecheng-7346	215	84	collectively	collectively	ADV
fumecheng-7346	215	85	called	call	VERB
fumecheng-7346	215	86	li	li	NOUN
fumecheng-7346	215	87	-	-	PROPN
fumecheng-7346	215	88	he	he	PRON
fumecheng-7346	215	89	’s	’	VERB
fumecheng-7346	215	90	approach	approach	NOUN
fumecheng-7346	215	91	)	)	PUNCT
fumecheng-7346	215	92	to	to	PART
fumecheng-7346	215	93	approximate	approximate	VERB
fumecheng-7346	215	94	the	the	DET
fumecheng-7346	215	95	periodic	periodic	ADJ
fumecheng-7346	215	96	behavior	behavior	NOUN
fumecheng-7346	215	97	of	of	ADP
fumecheng-7346	215	98	electrically	electrically	ADV
fumecheng-7346	215	99	excited	excited	ADJ
fumecheng-7346	215	100	microbeams	microbeam	NOUN
fumecheng-7346	215	101	-	-	PUNCT
fumecheng-7346	215	102	based	base	VERB
fumecheng-7346	215	103	microelectromechanical	microelectromechanical	ADJ
fumecheng-7346	215	104	system	system	NOUN
fumecheng-7346	215	105	.	.	PUNCT
fumecheng-7346	216	1	the	the	DET
fumecheng-7346	216	2	solution	solution	NOUN
fumecheng-7346	216	3	achieved	achieve	VERB
fumecheng-7346	216	4	from	from	ADP
fumecheng-7346	216	5	the	the	DET
fumecheng-7346	216	6	proposed	propose	VERB
fumecheng-7346	216	7	method	method	NOUN
fumecheng-7346	216	8	has	have	VERB
fumecheng-7346	216	9	good	good	ADJ
fumecheng-7346	216	10	agreement	agreement	NOUN
fumecheng-7346	216	11	with	with	ADP
fumecheng-7346	216	12	the	the	DET
fumecheng-7346	216	13	numerically	numerically	ADJ
fumecheng-7346	216	14	ones	one	NOUN
fumecheng-7346	216	15	gained	gain	VERB
fumecheng-7346	216	16	by	by	ADP
fumecheng-7346	216	17	the	the	DET
fumecheng-7346	216	18	runge	runge	NOUN
fumecheng-7346	216	19	-	-	PUNCT
fumecheng-7346	216	20	kutta	kutta	NOUN
fumecheng-7346	216	21	technique	technique	NOUN
fumecheng-7346	216	22	.	.	PUNCT
fumecheng-7346	217	1	this	this	DET
fumecheng-7346	217	2	method	method	NOUN
fumecheng-7346	217	3	not	not	PART
fumecheng-7346	217	4	only	only	ADV
fumecheng-7346	217	5	gives	give	VERB
fumecheng-7346	217	6	an	an	DET
fumecheng-7346	217	7	alternative	alternative	ADJ
fumecheng-7346	217	8	approximate	approximate	ADJ
fumecheng-7346	217	9	solution	solution	NOUN
fumecheng-7346	217	10	to	to	ADP
fumecheng-7346	217	11	the	the	DET
fumecheng-7346	217	12	oscillatory	oscillatory	ADJ
fumecheng-7346	217	13	system	system	NOUN
fumecheng-7346	217	14	by	by	ADP
fumecheng-7346	217	15	refining	refine	VERB
fumecheng-7346	217	16	the	the	DET
fumecheng-7346	217	17	order	order	NOUN
fumecheng-7346	217	18	of	of	ADP
fumecheng-7346	217	19	the	the	DET
fumecheng-7346	217	20	original	original	ADJ
fumecheng-7346	217	21	differential	differential	NOUN
fumecheng-7346	217	22	equation	equation	NOUN
fumecheng-7346	217	23	but	but	CCONJ
fumecheng-7346	217	24	it	it	PRON
fumecheng-7346	217	25	also	also	ADV
fumecheng-7346	217	26	makes	make	VERB
fumecheng-7346	217	27	the	the	DET
fumecheng-7346	217	28	solution	solution	NOUN
fumecheng-7346	217	29	process	process	NOUN
fumecheng-7346	217	30	more	more	ADV
fumecheng-7346	217	31	accurate	accurate	ADJ
fumecheng-7346	217	32	and	and	CCONJ
fumecheng-7346	217	33	reliable	reliable	ADJ
fumecheng-7346	217	34	.	.	PUNCT
fumecheng-7346	218	1	this	this	DET
fumecheng-7346	218	2	idea	idea	NOUN
fumecheng-7346	218	3	can	can	AUX
fumecheng-7346	218	4	also	also	ADV
fumecheng-7346	218	5	be	be	AUX
fumecheng-7346	218	6	implemented	implement	VERB
fumecheng-7346	218	7	in	in	ADP
fumecheng-7346	218	8	other	other	ADJ
fumecheng-7346	218	9	nonlinear	nonlinear	ADJ
fumecheng-7346	218	10	oscillatory	oscillatory	ADJ
fumecheng-7346	218	11	problems	problem	NOUN
fumecheng-7346	218	12	.	.	PUNCT
fumecheng-7346	219	1	references	reference	NOUN
fumecheng-7346	219	2	1	1	NUM
fumecheng-7346	219	3	.	.	PUNCT
fumecheng-7346	220	1	li	li	PROPN
fumecheng-7346	220	2	,	,	PUNCT
fumecheng-7346	220	3	x.x	x.x	PROPN
fumecheng-7346	220	4	.	.	PROPN
fumecheng-7346	220	5	,	,	PUNCT
fumecheng-7346	220	6	qiang	qiang	PROPN
fumecheng-7346	220	7	,	,	PUNCT
fumecheng-7346	220	8	j.	j.	PROPN
fumecheng-7346	220	9	,	,	PUNCT
fumecheng-7346	220	10	wan	wan	PROPN
fumecheng-7346	220	11	,	,	PUNCT
fumecheng-7346	220	12	y.q	y.q	PROPN
fumecheng-7346	220	13	.	.	PROPN
fumecheng-7346	220	14	,	,	PUNCT
fumecheng-7346	220	15	wang	wang	PROPN
fumecheng-7346	220	16	,	,	PUNCT
fumecheng-7346	220	17	h.	h.	PROPN
fumecheng-7346	220	18	,	,	PUNCT
fumecheng-7346	220	19	gao	gao	PROPN
fumecheng-7346	220	20	,	,	PUNCT
fumecheng-7346	220	21	w.	w.	PROPN
fumecheng-7346	220	22	,	,	PUNCT
fumecheng-7346	220	23	2019	2019	NUM
fumecheng-7346	220	24	,	,	PUNCT
fumecheng-7346	220	25	the	the	DET
fumecheng-7346	220	26	effect	effect	NOUN
fumecheng-7346	220	27	of	of	ADP
fumecheng-7346	220	28	sonic	sonic	ADJ
fumecheng-7346	220	29	vibration	vibration	NOUN
fumecheng-7346	220	30	on	on	ADP
fumecheng-7346	220	31	electrospun	electrospun	NOUN
fumecheng-7346	220	32	fiber	fiber	NOUN
fumecheng-7346	220	33	mats	mat	NOUN
fumecheng-7346	220	34	,	,	PUNCT
fumecheng-7346	220	35	journal	journal	NOUN
fumecheng-7346	220	36	of	of	ADP
fumecheng-7346	220	37	low	low	ADJ
fumecheng-7346	220	38	frequency	frequency	NOUN
fumecheng-7346	220	39	noise	noise	NOUN
fumecheng-7346	220	40	vibration	vibration	NOUN
fumecheng-7346	220	41	and	and	CCONJ
fumecheng-7346	220	42	active	active	ADJ
fumecheng-7346	220	43	control	control	NOUN
fumecheng-7346	220	44	,	,	PUNCT
fumecheng-7346	220	45	38(3	38(3	NUM
fumecheng-7346	220	46	-	-	SYM
fumecheng-7346	220	47	4	4	NUM
fumecheng-7346	220	48	)	)	PUNCT
fumecheng-7346	220	49	,	,	PUNCT
fumecheng-7346	220	50	pp	pp	PROPN
fumecheng-7346	220	51	.	.	PUNCT
fumecheng-7346	221	1	1246	1246	NUM
fumecheng-7346	221	2	-	-	SYM
fumecheng-7346	221	3	1251	1251	NUM
fumecheng-7346	221	4	.	.	PUNCT
fumecheng-7346	222	1	2	2	X
fumecheng-7346	222	2	.	.	X
fumecheng-7346	222	3	qie	qie	PROPN
fumecheng-7346	222	4	,	,	PUNCT
fumecheng-7346	222	5	n.	n.	NOUN
fumecheng-7346	222	6	,	,	PUNCT
fumecheng-7346	222	7	hou	hou	PROPN
fumecheng-7346	222	8	,	,	PUNCT
fumecheng-7346	222	9	w.f	w.f	PROPN
fumecheng-7346	222	10	.	.	PROPN
fumecheng-7346	222	11	,	,	PUNCT
fumecheng-7346	222	12	he	he	PRON
fumecheng-7346	222	13	,	,	PUNCT
fumecheng-7346	222	14	j.h	j.h	PROPN
fumecheng-7346	222	15	.	.	PROPN
fumecheng-7346	222	16	,	,	PUNCT
fumecheng-7346	222	17	2020	2020	NUM
fumecheng-7346	222	18	,	,	PUNCT
fumecheng-7346	222	19	the	the	DET
fumecheng-7346	222	20	fastest	fast	ADJ
fumecheng-7346	222	21	insight	insight	NOUN
fumecheng-7346	222	22	into	into	ADP
fumecheng-7346	222	23	the	the	DET
fumecheng-7346	222	24	large	large	ADJ
fumecheng-7346	222	25	amplitude	amplitude	NOUN
fumecheng-7346	222	26	vibration	vibration	NOUN
fumecheng-7346	222	27	of	of	ADP
fumecheng-7346	222	28	a	a	DET
fumecheng-7346	222	29	string	string	NOUN
fumecheng-7346	222	30	,	,	PUNCT
fumecheng-7346	222	31	reports	report	NOUN
fumecheng-7346	222	32	in	in	ADP
fumecheng-7346	222	33	mechanical	mechanical	ADJ
fumecheng-7346	222	34	engineering	engineering	NOUN
fumecheng-7346	222	35	,	,	PUNCT
fumecheng-7346	222	36	2(1	2(1	NUM
fumecheng-7346	222	37	)	)	PUNCT
fumecheng-7346	222	38	,	,	PUNCT
fumecheng-7346	222	39	pp	pp	ADP
fumecheng-7346	222	40	.	.	PUNCT
fumecheng-7346	223	1	1	1	NUM
fumecheng-7346	223	2	-	-	SYM
fumecheng-7346	223	3	5	5	NUM
fumecheng-7346	223	4	.	.	NOUN
fumecheng-7346	224	1	3	3	NUM
fumecheng-7346	224	2	.	.	X
fumecheng-7346	224	3	el	el	PROPN
fumecheng-7346	224	4	-	-	PUNCT
fumecheng-7346	224	5	dib	dib	PROPN
fumecheng-7346	224	6	,	,	PUNCT
fumecheng-7346	224	7	y.	y.	PROPN
fumecheng-7346	224	8	o.	o.	PROPN
fumecheng-7346	224	9	,	,	PUNCT
fumecheng-7346	224	10	moatimid	moatimid	PROPN
fumecheng-7346	224	11	,	,	PUNCT
fumecheng-7346	224	12	g.m	g.m	PROPN
fumecheng-7346	224	13	.	.	PROPN
fumecheng-7346	224	14	,	,	PUNCT
fumecheng-7346	224	15	elgazery	elgazery	PROPN
fumecheng-7346	224	16	,	,	PUNCT
fumecheng-7346	224	17	n.s	n.s	PROPN
fumecheng-7346	224	18	.	.	PROPN
fumecheng-7346	224	19	,	,	PUNCT
fumecheng-7346	224	20	2020	2020	NUM
fumecheng-7346	224	21	,	,	PUNCT
fumecheng-7346	224	22	stability	stability	NOUN
fumecheng-7346	224	23	analysis	analysis	NOUN
fumecheng-7346	224	24	of	of	ADP
fumecheng-7346	224	25	a	a	DET
fumecheng-7346	224	26	damped	damped	ADJ
fumecheng-7346	224	27	nonlinear	nonlinear	ADJ
fumecheng-7346	224	28	wave	wave	NOUN
fumecheng-7346	224	29	equation	equation	NOUN
fumecheng-7346	224	30	,	,	PUNCT
fumecheng-7346	224	31	journal	journal	NOUN
fumecheng-7346	224	32	of	of	ADP
fumecheng-7346	224	33	applied	applied	ADJ
fumecheng-7346	224	34	and	and	CCONJ
fumecheng-7346	224	35	computational	computational	ADJ
fumecheng-7346	224	36	mechanics	mechanic	NOUN
fumecheng-7346	224	37	,	,	PUNCT
fumecheng-7346	224	38	6(si	6(si	NOUN
fumecheng-7346	224	39	)	)	PUNCT
fumecheng-7346	224	40	,	,	PUNCT
fumecheng-7346	225	1	pp	pp	PROPN
fumecheng-7346	225	2	.	.	PUNCT
fumecheng-7346	225	3	1394	1394	NUM
fumecheng-7346	225	4	-	-	SYM
fumecheng-7346	225	5	1403	1403	NUM
fumecheng-7346	225	6	.	.	PUNCT
fumecheng-7346	226	1	4	4	X
fumecheng-7346	226	2	.	.	X
fumecheng-7346	226	3	yao	yao	PROPN
fumecheng-7346	226	4	,	,	PUNCT
fumecheng-7346	226	5	x.	x.	PROPN
fumecheng-7346	226	6	,	,	PUNCT
fumecheng-7346	226	7	he	he	PRON
fumecheng-7346	226	8	,	,	PUNCT
fumecheng-7346	226	9	j.h	j.h	PROPN
fumecheng-7346	226	10	.	.	PROPN
fumecheng-7346	226	11	,	,	PUNCT
fumecheng-7346	226	12	2020	2020	NUM
fumecheng-7346	226	13	,	,	PUNCT
fumecheng-7346	226	14	on	on	ADP
fumecheng-7346	226	15	fabrication	fabrication	NOUN
fumecheng-7346	226	16	of	of	ADP
fumecheng-7346	226	17	nanoscale	nanoscale	ADJ
fumecheng-7346	226	18	non	non	ADJ
fumecheng-7346	226	19	-	-	ADJ
fumecheng-7346	226	20	smooth	smooth	ADJ
fumecheng-7346	226	21	fibers	fiber	NOUN
fumecheng-7346	226	22	with	with	ADP
fumecheng-7346	226	23	high	high	ADJ
fumecheng-7346	226	24	geometric	geometric	ADJ
fumecheng-7346	226	25	potential	potential	NOUN
fumecheng-7346	226	26	and	and	CCONJ
fumecheng-7346	226	27	nanoparticle	nanoparticle	NOUN
fumecheng-7346	226	28	’s	’s	PART
fumecheng-7346	226	29	non	non	ADJ
fumecheng-7346	226	30	-	-	ADJ
fumecheng-7346	226	31	linear	linear	ADJ
fumecheng-7346	226	32	vibration	vibration	NOUN
fumecheng-7346	226	33	,	,	PUNCT
fumecheng-7346	226	34	thermal	thermal	ADJ
fumecheng-7346	226	35	science	science	NOUN
fumecheng-7346	226	36	,	,	PUNCT
fumecheng-7346	226	37	24(4	24(4	NUM
fumecheng-7346	226	38	)	)	PUNCT
fumecheng-7346	226	39	,	,	PUNCT
fumecheng-7346	226	40	pp	pp	ADJ
fumecheng-7346	226	41	.	.	PUNCT
fumecheng-7346	226	42	2491	2491	NUM
fumecheng-7346	226	43	-	-	SYM
fumecheng-7346	226	44	2497	2497	NUM
fumecheng-7346	226	45	.	.	PUNCT
fumecheng-7346	227	1	5	5	NUM
fumecheng-7346	227	2	.	.	X
fumecheng-7346	228	1	he	he	PRON
fumecheng-7346	228	2	,	,	PUNCT
fumecheng-7346	228	3	c.h	c.h	PROPN
fumecheng-7346	228	4	.	.	PROPN
fumecheng-7346	228	5	,	,	PUNCT
fumecheng-7346	228	6	he	he	PRON
fumecheng-7346	228	7	,	,	PUNCT
fumecheng-7346	228	8	j.h	j.h	PROPN
fumecheng-7346	228	9	.	.	PROPN
fumecheng-7346	228	10	,	,	PUNCT
fumecheng-7346	228	11	sedighi	sedighi	PROPN
fumecheng-7346	228	12	,	,	PUNCT
fumecheng-7346	228	13	h.m	h.m	PROPN
fumecheng-7346	228	14	.	.	PROPN
fumecheng-7346	228	15	,	,	PUNCT
fumecheng-7346	228	16	2020	2020	NUM
fumecheng-7346	228	17	,	,	PUNCT
fumecheng-7346	228	18	fangzhu(方诸	fangzhu(方诸	NOUN
fumecheng-7346	228	19	)	)	PUNCT
fumecheng-7346	228	20	:	:	PUNCT
fumecheng-7346	228	21	an	an	DET
fumecheng-7346	228	22	ancient	ancient	ADJ
fumecheng-7346	228	23	chinese	chinese	ADJ
fumecheng-7346	228	24	nanotechnology	nanotechnology	NOUN
fumecheng-7346	228	25	for	for	ADP
fumecheng-7346	228	26	water	water	NOUN
fumecheng-7346	228	27	collection	collection	NOUN
fumecheng-7346	228	28	from	from	ADP
fumecheng-7346	228	29	air	air	NOUN
fumecheng-7346	228	30	:	:	PUNCT
fumecheng-7346	228	31	history	history	NOUN
fumecheng-7346	228	32	,	,	PUNCT
fumecheng-7346	228	33	mathematical	mathematical	ADJ
fumecheng-7346	228	34	insight	insight	NOUN
fumecheng-7346	228	35	,	,	PUNCT
fumecheng-7346	228	36	promises	promise	NOUN
fumecheng-7346	228	37	and	and	CCONJ
fumecheng-7346	228	38	challenges	challenge	NOUN
fumecheng-7346	228	39	,	,	PUNCT
fumecheng-7346	228	40	mathematical	mathematical	ADJ
fumecheng-7346	228	41	methods	method	NOUN
fumecheng-7346	228	42	in	in	ADP
fumecheng-7346	228	43	the	the	DET
fumecheng-7346	228	44	applied	apply	VERB
fumecheng-7346	228	45	sciences	science	NOUN
fumecheng-7346	228	46	,	,	PUNCT
fumecheng-7346	228	47	doi	doi	NOUN
fumecheng-7346	228	48	:	:	PUNCT
fumecheng-7346	228	49	10.1002	10.1002	NUM
fumecheng-7346	228	50	/	/	SYM
fumecheng-7346	228	51	mma.6384	mma.6384	PROPN
fumecheng-7346	228	52	.	.	PROPN
fumecheng-7346	228	53	6	6	NUM
fumecheng-7346	228	54	.	.	PUNCT
fumecheng-7346	229	1	he	he	PRON
fumecheng-7346	229	2	,	,	PUNCT
fumecheng-7346	229	3	j.h	j.h	PROPN
fumecheng-7346	229	4	.	.	PROPN
fumecheng-7346	229	5	,	,	PUNCT
fumecheng-7346	229	6	1999	1999	NUM
fumecheng-7346	229	7	,	,	PUNCT
fumecheng-7346	229	8	variational	variational	ADJ
fumecheng-7346	229	9	iteration	iteration	NOUN
fumecheng-7346	229	10	method	method	NOUN
fumecheng-7346	229	11	-	-	PUNCT
fumecheng-7346	229	12	a	a	DET
fumecheng-7346	229	13	kind	kind	NOUN
fumecheng-7346	229	14	of	of	ADP
fumecheng-7346	229	15	non	non	ADJ
fumecheng-7346	229	16	-	-	ADJ
fumecheng-7346	229	17	linear	linear	ADJ
fumecheng-7346	229	18	analytical	analytical	ADJ
fumecheng-7346	229	19	technique	technique	NOUN
fumecheng-7346	229	20	:	:	PUNCT
fumecheng-7346	229	21	some	some	DET
fumecheng-7346	229	22	examples	example	NOUN
fumecheng-7346	229	23	,	,	PUNCT
fumecheng-7346	229	24	international	international	ADJ
fumecheng-7346	229	25	journal	journal	NOUN
fumecheng-7346	229	26	of	of	ADP
fumecheng-7346	229	27	nonlinear	nonlinear	ADJ
fumecheng-7346	229	28	mechanics	mechanic	NOUN
fumecheng-7346	229	29	,	,	PUNCT
fumecheng-7346	229	30	34	34	NUM
fumecheng-7346	229	31	,	,	PUNCT
fumecheng-7346	229	32	pp	pp	ADJ
fumecheng-7346	229	33	.	.	PUNCT
fumecheng-7346	230	1	699	699	NUM
fumecheng-7346	230	2	-	-	SYM
fumecheng-7346	230	3	708	708	NUM
fumecheng-7346	230	4	.	.	PUNCT
fumecheng-7346	231	1	7	7	NUM
fumecheng-7346	231	2	.	.	X
fumecheng-7346	231	3	anjum	anjum	PROPN
fumecheng-7346	231	4	,	,	PUNCT
fumecheng-7346	231	5	n.	n.	PROPN
fumecheng-7346	231	6	,	,	PUNCT
fumecheng-7346	231	7	he	he	PRON
fumecheng-7346	231	8	,	,	PUNCT
fumecheng-7346	231	9	j.h	j.h	PROPN
fumecheng-7346	231	10	.	.	PROPN
fumecheng-7346	231	11	,	,	PUNCT
fumecheng-7346	231	12	2019	2019	NUM
fumecheng-7346	231	13	,	,	PUNCT
fumecheng-7346	231	14	laplace	laplace	NOUN
fumecheng-7346	231	15	transform	transform	NOUN
fumecheng-7346	231	16	:	:	PUNCT
fumecheng-7346	231	17	making	make	VERB
fumecheng-7346	231	18	the	the	DET
fumecheng-7346	231	19	variational	variational	ADJ
fumecheng-7346	231	20	iteration	iteration	NOUN
fumecheng-7346	231	21	method	method	NOUN
fumecheng-7346	231	22	easier	easy	ADJ
fumecheng-7346	231	23	,	,	PUNCT
fumecheng-7346	231	24	applied	apply	VERB
fumecheng-7346	231	25	mathematics	mathematics	NOUN
fumecheng-7346	231	26	letters	letter	NOUN
fumecheng-7346	231	27	,	,	PUNCT
fumecheng-7346	231	28	92	92	NUM
fumecheng-7346	231	29	,	,	PUNCT
fumecheng-7346	231	30	134–138	134–138	NUM
fumecheng-7346	231	31	.	.	PUNCT
fumecheng-7346	232	1	8	8	NUM
fumecheng-7346	232	2	.	.	PUNCT
fumecheng-7346	233	1	he	he	PRON
fumecheng-7346	233	2	,	,	PUNCT
fumecheng-7346	233	3	j.h	j.h	PROPN
fumecheng-7346	233	4	.	.	PROPN
fumecheng-7346	233	5	,	,	PUNCT
fumecheng-7346	233	6	2006	2006	NUM
fumecheng-7346	233	7	,	,	PUNCT
fumecheng-7346	233	8	new	new	ADJ
fumecheng-7346	233	9	interpretation	interpretation	NOUN
fumecheng-7346	233	10	of	of	ADP
fumecheng-7346	233	11	homotopy	homotopy	NOUN
fumecheng-7346	233	12	perturbation	perturbation	NOUN
fumecheng-7346	233	13	method	method	NOUN
fumecheng-7346	233	14	,	,	PUNCT
fumecheng-7346	233	15	international	international	ADJ
fumecheng-7346	233	16	journal	journal	NOUN
fumecheng-7346	233	17	of	of	ADP
fumecheng-7346	233	18	modern	modern	ADJ
fumecheng-7346	233	19	physics	physics	PROPN
fumecheng-7346	233	20	b	b	PROPN
fumecheng-7346	233	21	,	,	PUNCT
fumecheng-7346	233	22	20	20	NUM
fumecheng-7346	233	23	,	,	PUNCT
fumecheng-7346	233	24	pp.2561–2568	pp.2561–2568	PROPN
fumecheng-7346	233	25	.	.	PROPN
fumecheng-7346	234	1	9	9	NUM
fumecheng-7346	234	2	.	.	X
fumecheng-7346	234	3	anjum	anjum	PROPN
fumecheng-7346	234	4	.	.	PUNCT
fumecheng-7346	235	1	n.	n.	PROPN
fumecheng-7346	235	2	,	,	PUNCT
fumecheng-7346	235	3	he	he	PRON
fumecheng-7346	235	4	,	,	PUNCT
fumecheng-7346	235	5	j.h	j.h	PROPN
fumecheng-7346	235	6	.	.	PROPN
fumecheng-7346	235	7	,	,	PUNCT
fumecheng-7346	235	8	2020	2020	NUM
fumecheng-7346	235	9	,	,	PUNCT
fumecheng-7346	235	10	two	two	NUM
fumecheng-7346	235	11	modifications	modification	NOUN
fumecheng-7346	235	12	of	of	ADP
fumecheng-7346	235	13	the	the	DET
fumecheng-7346	235	14	homotopy	homotopy	NOUN
fumecheng-7346	235	15	perturbation	perturbation	NOUN
fumecheng-7346	235	16	method	method	NOUN
fumecheng-7346	235	17	for	for	ADP
fumecheng-7346	235	18	nonlinear	nonlinear	ADJ
fumecheng-7346	235	19	oscillators	oscillator	NOUN
fumecheng-7346	235	20	,	,	PUNCT
fumecheng-7346	235	21	journal	journal	NOUN
fumecheng-7346	235	22	of	of	ADP
fumecheng-7346	235	23	applied	applied	ADJ
fumecheng-7346	235	24	and	and	CCONJ
fumecheng-7346	235	25	computational	computational	ADJ
fumecheng-7346	235	26	mechanics	mechanic	NOUN
fumecheng-7346	235	27	,	,	PUNCT
fumecheng-7346	235	28	6	6	NUM
fumecheng-7346	235	29	,	,	PUNCT
fumecheng-7346	235	30	pp	pp	ADJ
fumecheng-7346	235	31	.	.	PUNCT
fumecheng-7346	236	1	1420	1420	NUM
fumecheng-7346	236	2	-	-	SYM
fumecheng-7346	236	3	1425	1425	NUM
fumecheng-7346	236	4	.	.	PUNCT
fumecheng-7346	237	1	10	10	NUM
fumecheng-7346	237	2	.	.	PUNCT
fumecheng-7346	238	1	he	he	PRON
fumecheng-7346	238	2	,	,	PUNCT
fumecheng-7346	238	3	j.h	j.h	PROPN
fumecheng-7346	238	4	.	.	PROPN
fumecheng-7346	238	5	,	,	PUNCT
fumecheng-7346	238	6	2010	2010	NUM
fumecheng-7346	238	7	,	,	PUNCT
fumecheng-7346	238	8	hamiltonian	hamiltonian	ADJ
fumecheng-7346	238	9	approach	approach	NOUN
fumecheng-7346	238	10	to	to	ADP
fumecheng-7346	238	11	nonlinear	nonlinear	ADJ
fumecheng-7346	238	12	oscillators	oscillator	NOUN
fumecheng-7346	238	13	,	,	PUNCT
fumecheng-7346	238	14	physics	physics	NOUN
fumecheng-7346	238	15	letters	letter	NOUN
fumecheng-7346	238	16	a	a	PRON
fumecheng-7346	238	17	,	,	PUNCT
fumecheng-7346	238	18	374	374	NUM
fumecheng-7346	238	19	,	,	PUNCT
fumecheng-7346	238	20	pp	pp	ADJ
fumecheng-7346	238	21	.	.	PUNCT
fumecheng-7346	239	1	2312	2312	NUM
fumecheng-7346	239	2	-	-	SYM
fumecheng-7346	239	3	2314	2314	NUM
fumecheng-7346	239	4	.	.	PUNCT
fumecheng-7346	240	1	11	11	NUM
fumecheng-7346	240	2	.	.	X
fumecheng-7346	241	1	fu	fu	PROPN
fumecheng-7346	241	2	,	,	PUNCT
fumecheng-7346	241	3	y.	y.	PROPN
fumecheng-7346	241	4	,	,	PUNCT
fumecheng-7346	241	5	zhang	zhang	PROPN
fumecheng-7346	241	6	,	,	PUNCT
fumecheng-7346	241	7	j.	j.	PROPN
fumecheng-7346	241	8	,	,	PUNCT
fumecheng-7346	241	9	wan	wan	PROPN
fumecheng-7346	241	10	,	,	PUNCT
fumecheng-7346	241	11	l.	l.	PROPN
fumecheng-7346	241	12	,	,	PUNCT
fumecheng-7346	241	13	2011	2011	NUM
fumecheng-7346	241	14	,	,	PUNCT
fumecheng-7346	241	15	application	application	NOUN
fumecheng-7346	241	16	of	of	ADP
fumecheng-7346	241	17	the	the	DET
fumecheng-7346	241	18	energy	energy	NOUN
fumecheng-7346	241	19	balance	balance	NOUN
fumecheng-7346	241	20	method	method	NOUN
fumecheng-7346	241	21	to	to	ADP
fumecheng-7346	241	22	a	a	DET
fumecheng-7346	241	23	nonlinear	nonlinear	ADJ
fumecheng-7346	241	24	oscillator	oscillator	NOUN
fumecheng-7346	241	25	arising	arise	VERB
fumecheng-7346	241	26	in	in	ADP
fumecheng-7346	241	27	the	the	DET
fumecheng-7346	241	28	microelectromechanical	microelectromechanical	ADJ
fumecheng-7346	241	29	system	system	NOUN
fumecheng-7346	241	30	(	(	PUNCT
fumecheng-7346	241	31	mems	mems	PROPN
fumecheng-7346	241	32	)	)	PUNCT
fumecheng-7346	241	33	,	,	PUNCT
fumecheng-7346	241	34	current	current	ADJ
fumecheng-7346	241	35	applied	applied	ADJ
fumecheng-7346	241	36	physics	physic	NOUN
fumecheng-7346	241	37	,	,	PUNCT
fumecheng-7346	241	38	11	11	NUM
fumecheng-7346	241	39	,	,	PUNCT
fumecheng-7346	241	40	pp	pp	ADJ
fumecheng-7346	241	41	.	.	PUNCT
fumecheng-7346	242	1	482	482	NUM
fumecheng-7346	242	2	-	-	SYM
fumecheng-7346	242	3	485	485	NUM
fumecheng-7346	242	4	.	.	PUNCT
fumecheng-7346	243	1	12	12	NUM
fumecheng-7346	243	2	.	.	PUNCT
fumecheng-7346	244	1	qian	qian	PROPN
fumecheng-7346	244	2	,	,	PUNCT
fumecheng-7346	244	3	y.h	y.h	PROPN
fumecheng-7346	244	4	.	.	PROPN
fumecheng-7346	244	5	,	,	PUNCT
fumecheng-7346	244	6	pan	pan	PROPN
fumecheng-7346	244	7	,	,	PUNCT
fumecheng-7346	244	8	j.l	j.l	PROPN
fumecheng-7346	244	9	.	.	PROPN
fumecheng-7346	244	10	,	,	PUNCT
fumecheng-7346	244	11	qiang	qiang	PROPN
fumecheng-7346	244	12	,	,	PUNCT
fumecheng-7346	244	13	y.	y.	PROPN
fumecheng-7346	244	14	,	,	PUNCT
fumecheng-7346	244	15	wang	wang	PROPN
fumecheng-7346	244	16	.	.	PROPN
fumecheng-7346	244	17	,	,	PUNCT
fumecheng-7346	244	18	j.s	j.s	PROPN
fumecheng-7346	244	19	.	.	PROPN
fumecheng-7346	244	20	,	,	PUNCT
fumecheng-7346	244	21	2019	2019	NUM
fumecheng-7346	244	22	,	,	PUNCT
fumecheng-7346	244	23	the	the	DET
fumecheng-7346	244	24	spreading	spread	VERB
fumecheng-7346	244	25	residue	residue	NOUN
fumecheng-7346	244	26	harmonic	harmonic	ADJ
fumecheng-7346	244	27	balance	balance	NOUN
fumecheng-7346	244	28	method	method	NOUN
fumecheng-7346	244	29	for	for	ADP
fumecheng-7346	244	30	studying	study	VERB
fumecheng-7346	244	31	the	the	DET
fumecheng-7346	244	32	doubly	doubly	ADV
fumecheng-7346	244	33	clamped	clamp	VERB
fumecheng-7346	244	34	beam	beam	NOUN
fumecheng-7346	244	35	-	-	PUNCT
fumecheng-7346	244	36	type	type	NOUN
fumecheng-7346	244	37	n	n	CCONJ
fumecheng-7346	244	38	/	/	SYM
fumecheng-7346	244	39	mems	mem	NOUN
fumecheng-7346	244	40	subjected	subject	VERB
fumecheng-7346	244	41	to	to	ADP
fumecheng-7346	244	42	the	the	DET
fumecheng-7346	244	43	van	van	PROPN
fumecheng-7346	244	44	der	der	NOUN
fumecheng-7346	244	45	waals	waal	NOUN
fumecheng-7346	244	46	attraction	attraction	NOUN
fumecheng-7346	244	47	,	,	PUNCT
fumecheng-7346	244	48	journal	journal	NOUN
fumecheng-7346	244	49	of	of	ADP
fumecheng-7346	244	50	low	low	ADJ
fumecheng-7346	244	51	frequency	frequency	NOUN
fumecheng-7346	244	52	noise	noise	NOUN
fumecheng-7346	244	53	vibration	vibration	NOUN
fumecheng-7346	244	54	and	and	CCONJ
fumecheng-7346	244	55	active	active	ADJ
fumecheng-7346	244	56	control	control	NOUN
fumecheng-7346	244	57	,	,	PUNCT
fumecheng-7346	244	58	38(3–4	38(3–4	PROPN
fumecheng-7346	244	59	)	)	PUNCT
fumecheng-7346	244	60	,	,	PUNCT
fumecheng-7346	244	61	pp.1261–1271	pp.1261–1271	PROPN
fumecheng-7346	244	62	.	.	PUNCT
fumecheng-7346	244	63	13	13	NUM
fumecheng-7346	244	64	.	.	X
fumecheng-7346	244	65	sedighi	sedighi	PROPN
fumecheng-7346	244	66	,	,	PUNCT
fumecheng-7346	244	67	h.m	h.m	PROPN
fumecheng-7346	244	68	.	.	PROPN
fumecheng-7346	244	69	,	,	PUNCT
fumecheng-7346	244	70	daneshmand	daneshmand	PROPN
fumecheng-7346	244	71	,	,	PUNCT
fumecheng-7346	244	72	f.	f.	PROPN
fumecheng-7346	244	73	,	,	PUNCT
fumecheng-7346	244	74	2014	2014	NUM
fumecheng-7346	244	75	,	,	PUNCT
fumecheng-7346	244	76	static	static	ADJ
fumecheng-7346	244	77	and	and	CCONJ
fumecheng-7346	244	78	dynamic	dynamic	ADJ
fumecheng-7346	244	79	pull	pull	NOUN
fumecheng-7346	244	80	-	-	PUNCT
fumecheng-7346	244	81	in	in	ADP
fumecheng-7346	244	82	instability	instability	NOUN
fumecheng-7346	244	83	of	of	ADP
fumecheng-7346	244	84	multi	multi	ADJ
fumecheng-7346	244	85	-	-	ADJ
fumecheng-7346	244	86	walled	walled	ADJ
fumecheng-7346	244	87	carbon	carbon	NOUN
fumecheng-7346	244	88	nanotube	nanotube	NOUN
fumecheng-7346	244	89	probes	probe	NOUN
fumecheng-7346	244	90	by	by	ADP
fumecheng-7346	244	91	he	he	PRON
fumecheng-7346	244	92	’s	’	VERB
fumecheng-7346	244	93	iteration	iteration	NOUN
fumecheng-7346	244	94	perturbation	perturbation	NOUN
fumecheng-7346	244	95	method	method	NOUN
fumecheng-7346	244	96	,	,	PUNCT
fumecheng-7346	244	97	journal	journal	NOUN
fumecheng-7346	244	98	of	of	ADP
fumecheng-7346	244	99	mechanical	mechanical	ADJ
fumecheng-7346	244	100	science	science	NOUN
fumecheng-7346	244	101	and	and	CCONJ
fumecheng-7346	244	102	technology	technology	NOUN
fumecheng-7346	244	103	,	,	PUNCT
fumecheng-7346	244	104	28(9	28(9	NOUN
fumecheng-7346	244	105	)	)	PUNCT
fumecheng-7346	244	106	,	,	PUNCT
fumecheng-7346	244	107	pp	pp	ADJ
fumecheng-7346	244	108	.	.	PUNCT
fumecheng-7346	244	109	3459	3459	NUM
fumecheng-7346	244	110	-	-	SYM
fumecheng-7346	244	111	3469	3469	NUM
fumecheng-7346	244	112	.	.	PUNCT
fumecheng-7346	245	1	14	14	NUM
fumecheng-7346	245	2	.	.	PUNCT
fumecheng-7346	246	1	he	he	PRON
fumecheng-7346	246	2	,	,	PUNCT
fumecheng-7346	246	3	j.h	j.h	PROPN
fumecheng-7346	246	4	.	.	PROPN
fumecheng-7346	246	5	,	,	PUNCT
fumecheng-7346	246	6	anjum	anjum	PROPN
fumecheng-7346	246	7	.	.	PUNCT
fumecheng-7346	247	1	n.	n.	NOUN
fumecheng-7346	247	2	,	,	PUNCT
fumecheng-7346	247	3	skrzypacz	skrzypacz	NOUN
fumecheng-7346	247	4	,	,	PUNCT
fumecheng-7346	247	5	p.	p.	NOUN
fumecheng-7346	247	6	,	,	PUNCT
fumecheng-7346	247	7	2021	2021	NUM
fumecheng-7346	247	8	,	,	PUNCT
fumecheng-7346	247	9	a	a	DET
fumecheng-7346	247	10	variational	variational	ADJ
fumecheng-7346	247	11	principle	principle	NOUN
fumecheng-7346	247	12	for	for	ADP
fumecheng-7346	247	13	a	a	DET
fumecheng-7346	247	14	nonlinear	nonlinear	ADJ
fumecheng-7346	247	15	oscillator	oscillator	NOUN
fumecheng-7346	247	16	arising	arise	VERB
fumecheng-7346	247	17	in	in	ADP
fumecheng-7346	247	18	the	the	DET
fumecheng-7346	247	19	microelectromechanical	microelectromechanical	ADJ
fumecheng-7346	247	20	system	system	NOUN
fumecheng-7346	247	21	,	,	PUNCT
fumecheng-7346	247	22	journal	journal	NOUN
fumecheng-7346	247	23	of	of	ADP
fumecheng-7346	247	24	applied	applied	ADJ
fumecheng-7346	247	25	and	and	CCONJ
fumecheng-7346	247	26	computational	computational	ADJ
fumecheng-7346	247	27	mechanics	mechanic	NOUN
fumecheng-7346	247	28	,	,	PUNCT
fumecheng-7346	247	29	7(1	7(1	NUM
fumecheng-7346	247	30	)	)	PUNCT
fumecheng-7346	247	31	,	,	PUNCT
fumecheng-7346	247	32	pp	pp	PROPN
fumecheng-7346	247	33	.	.	PUNCT
fumecheng-7346	248	1	78	78	NUM
fumecheng-7346	248	2	-	-	SYM
fumecheng-7346	248	3	83	83	NUM
fumecheng-7346	248	4	.	.	PUNCT
fumecheng-7346	249	1	li	li	PROPN
fumecheng-7346	249	2	-	-	PROPN
fumecheng-7346	249	3	he	he	PRON
fumecheng-7346	249	4	’s	’	VERB
fumecheng-7346	249	5	modified	modify	VERB
fumecheng-7346	249	6	homotopy	homotopy	NOUN
fumecheng-7346	249	7	perturbation	perturbation	NOUN
fumecheng-7346	249	8	method	method	NOUN
fumecheng-7346	249	9	for	for	ADP
fumecheng-7346	249	10	doubly	doubly	ADV
fumecheng-7346	249	11	-	-	PUNCT
fumecheng-7346	249	12	clamped	clamp	VERB
fumecheng-7346	249	13	electrically	electrically	ADV
fumecheng-7346	249	14	actuated	actuate	VERB
fumecheng-7346	249	15	...	...	PUNCT
fumecheng-7346	249	16	611	611	NUM
fumecheng-7346	249	17	15	15	NUM
fumecheng-7346	249	18	.	.	PUNCT
fumecheng-7346	250	1	anjum	anjum	PROPN
fumecheng-7346	250	2	n.	n.	PROPN
fumecheng-7346	250	3	,	,	PUNCT
fumecheng-7346	250	4	suleman	suleman	PROPN
fumecheng-7346	250	5	,	,	PUNCT
fumecheng-7346	250	6	m.	m.	NOUN
fumecheng-7346	250	7	,	,	PUNCT
fumecheng-7346	250	8	lu	lu	PROPN
fumecheng-7346	250	9	,	,	PUNCT
fumecheng-7346	250	10	d.	d.	PROPN
fumecheng-7346	250	11	,	,	PUNCT
fumecheng-7346	250	12	he	he	PRON
fumecheng-7346	250	13	,	,	PUNCT
fumecheng-7346	250	14	j.h	j.h	PROPN
fumecheng-7346	250	15	.	.	PROPN
fumecheng-7346	250	16	,	,	PUNCT
fumecheng-7346	250	17	ramzan	ramzan	PROPN
fumecheng-7346	250	18	,	,	PUNCT
fumecheng-7346	250	19	m.	m.	NOUN
fumecheng-7346	250	20	,	,	PUNCT
fumecheng-7346	250	21	2019	2019	NUM
fumecheng-7346	250	22	,	,	PUNCT
fumecheng-7346	250	23	numerical	numerical	ADJ
fumecheng-7346	250	24	iteration	iteration	NOUN
fumecheng-7346	250	25	for	for	ADP
fumecheng-7346	250	26	nonlinear	nonlinear	ADJ
fumecheng-7346	250	27	oscillators	oscillator	NOUN
fumecheng-7346	250	28	by	by	ADP
fumecheng-7346	250	29	elzaki	elzaki	NOUN
fumecheng-7346	250	30	transform	transform	NOUN
fumecheng-7346	250	31	,	,	PUNCT
fumecheng-7346	250	32	journal	journal	NOUN
fumecheng-7346	250	33	of	of	ADP
fumecheng-7346	250	34	low	low	ADJ
fumecheng-7346	250	35	frequency	frequency	NOUN
fumecheng-7346	250	36	noise	noise	NOUN
fumecheng-7346	250	37	vibration	vibration	NOUN
fumecheng-7346	250	38	and	and	CCONJ
fumecheng-7346	250	39	active	active	ADJ
fumecheng-7346	250	40	control	control	NOUN
fumecheng-7346	250	41	,	,	PUNCT
fumecheng-7346	250	42	doi:10.1177/1461348419873470	doi:10.1177/1461348419873470	VERB
fumecheng-7346	250	43	16	16	NUM
fumecheng-7346	250	44	.	.	PUNCT
fumecheng-7346	251	1	he	he	PRON
fumecheng-7346	251	2	,	,	PUNCT
fumecheng-7346	251	3	j.h	j.h	PROPN
fumecheng-7346	251	4	.	.	PROPN
fumecheng-7346	251	5	,	,	PUNCT
fumecheng-7346	251	6	1999	1999	NUM
fumecheng-7346	251	7	,	,	PUNCT
fumecheng-7346	251	8	homotopy	homotopy	VERB
fumecheng-7346	251	9	perturbation	perturbation	NOUN
fumecheng-7346	251	10	technique	technique	NOUN
fumecheng-7346	251	11	,	,	PUNCT
fumecheng-7346	251	12	computer	computer	NOUN
fumecheng-7346	251	13	methods	method	NOUN
fumecheng-7346	251	14	in	in	ADP
fumecheng-7346	251	15	applied	apply	VERB
fumecheng-7346	251	16	mechanical	mechanical	ADJ
fumecheng-7346	251	17	engineering	engineering	NOUN
fumecheng-7346	251	18	,	,	PUNCT
fumecheng-7346	251	19	178	178	NUM
fumecheng-7346	251	20	,	,	PUNCT
fumecheng-7346	251	21	pp	pp	ADJ
fumecheng-7346	251	22	.	.	PUNCT
fumecheng-7346	252	1	257–262	257–262	NUM
fumecheng-7346	252	2	.	.	PUNCT
fumecheng-7346	253	1	17	17	NUM
fumecheng-7346	253	2	.	.	PUNCT
fumecheng-7346	254	1	he	he	PRON
fumecheng-7346	254	2	,	,	PUNCT
fumecheng-7346	254	3	j.h	j.h	PROPN
fumecheng-7346	254	4	.	.	PROPN
fumecheng-7346	254	5	,	,	PUNCT
fumecheng-7346	254	6	2000	2000	NUM
fumecheng-7346	254	7	,	,	PUNCT
fumecheng-7346	254	8	a	a	DET
fumecheng-7346	254	9	coupling	coupling	NOUN
fumecheng-7346	254	10	method	method	NOUN
fumecheng-7346	254	11	of	of	ADP
fumecheng-7346	254	12	homotopy	homotopy	NOUN
fumecheng-7346	254	13	technique	technique	NOUN
fumecheng-7346	254	14	and	and	CCONJ
fumecheng-7346	254	15	a	a	DET
fumecheng-7346	254	16	perturbation	perturbation	NOUN
fumecheng-7346	254	17	technique	technique	NOUN
fumecheng-7346	254	18	for	for	ADP
fumecheng-7346	254	19	non	non	ADJ
fumecheng-7346	254	20	-	-	ADJ
fumecheng-7346	254	21	linear	linear	ADJ
fumecheng-7346	254	22	problems	problem	NOUN
fumecheng-7346	254	23	,	,	PUNCT
fumecheng-7346	254	24	international	international	ADJ
fumecheng-7346	254	25	journal	journal	NOUN
fumecheng-7346	254	26	of	of	ADP
fumecheng-7346	254	27	nonlinear	nonlinear	ADJ
fumecheng-7346	254	28	mechanics	mechanic	NOUN
fumecheng-7346	254	29	,	,	PUNCT
fumecheng-7346	254	30	35	35	NUM
fumecheng-7346	254	31	,	,	PUNCT
fumecheng-7346	254	32	pp	pp	ADJ
fumecheng-7346	254	33	.	.	PUNCT
fumecheng-7346	255	1	37	37	NUM
fumecheng-7346	255	2	-	-	SYM
fumecheng-7346	255	3	43	43	NUM
fumecheng-7346	255	4	.	.	PUNCT
fumecheng-7346	256	1	18	18	NUM
fumecheng-7346	256	2	.	.	PUNCT
fumecheng-7346	257	1	filobello	filobello	NOUN
fumecheng-7346	257	2	-	-	PUNCT
fumecheng-7346	257	3	nino	nino	PROPN
fumecheng-7346	257	4	,	,	PUNCT
fumecheng-7346	257	5	u.	u.	PROPN
fumecheng-7346	257	6	,	,	PUNCT
fumecheng-7346	257	7	vazquez	vazquez	NOUN
fumecheng-7346	257	8	-	-	PUNCT
fumecheng-7346	257	9	leal	leal	PROPN
fumecheng-7346	257	10	,	,	PUNCT
fumecheng-7346	257	11	h.	h.	PROPN
fumecheng-7346	257	12	,	,	PUNCT
fumecheng-7346	257	13	khan	khan	PROPN
fumecheng-7346	257	14	,	,	PUNCT
fumecheng-7346	257	15	y.	y.	PROPN
fumecheng-7346	257	16	,	,	PUNCT
fumecheng-7346	257	17	2017	2017	NUM
fumecheng-7346	257	18	,	,	PUNCT
fumecheng-7346	257	19	extension	extension	NOUN
fumecheng-7346	257	20	of	of	ADP
fumecheng-7346	257	21	laplace	laplace	NOUN
fumecheng-7346	257	22	transform	transform	NOUN
fumecheng-7346	257	23	-	-	PUNCT
fumecheng-7346	257	24	homotopy	homotopy	NOUN
fumecheng-7346	257	25	perturbation	perturbation	NOUN
fumecheng-7346	257	26	method	method	NOUN
fumecheng-7346	257	27	to	to	PART
fumecheng-7346	257	28	solve	solve	VERB
fumecheng-7346	257	29	nonlinear	nonlinear	ADJ
fumecheng-7346	257	30	differential	differential	ADJ
fumecheng-7346	257	31	equations	equation	NOUN
fumecheng-7346	257	32	with	with	ADP
fumecheng-7346	257	33	variable	variable	ADJ
fumecheng-7346	257	34	coefficients	coefficient	NOUN
fumecheng-7346	257	35	defined	define	VERB
fumecheng-7346	257	36	with	with	ADP
fumecheng-7346	257	37	robin	robin	PROPN
fumecheng-7346	257	38	boundary	boundary	PROPN
fumecheng-7346	257	39	conditions	condition	NOUN
fumecheng-7346	257	40	,	,	PUNCT
fumecheng-7346	257	41	neural	neural	ADJ
fumecheng-7346	257	42	computig	computig	NOUN
fumecheng-7346	257	43	and	and	CCONJ
fumecheng-7346	257	44	applications	application	NOUN
fumecheng-7346	257	45	,	,	PUNCT
fumecheng-7346	257	46	28	28	NUM
fumecheng-7346	257	47	(	(	PUNCT
fumecheng-7346	257	48	3	3	NUM
fumecheng-7346	257	49	)	)	PUNCT
fumecheng-7346	257	50	,	,	PUNCT
fumecheng-7346	257	51	pp	pp	PROPN
fumecheng-7346	257	52	.	.	PUNCT
fumecheng-7346	258	1	595	595	NUM
fumecheng-7346	258	2	-	-	SYM
fumecheng-7346	258	3	585	585	NUM
fumecheng-7346	258	4	.	.	PUNCT
fumecheng-7346	259	1	19	19	NUM
fumecheng-7346	259	2	.	.	PUNCT
fumecheng-7346	260	1	he	he	PRON
fumecheng-7346	260	2	,	,	PUNCT
fumecheng-7346	260	3	j.h	j.h	PROPN
fumecheng-7346	260	4	.	.	PROPN
fumecheng-7346	260	5	,	,	PUNCT
fumecheng-7346	260	6	2006	2006	NUM
fumecheng-7346	260	7	,	,	PUNCT
fumecheng-7346	260	8	some	some	DET
fumecheng-7346	260	9	asymptotic	asymptotic	ADJ
fumecheng-7346	260	10	methods	method	NOUN
fumecheng-7346	260	11	for	for	ADP
fumecheng-7346	260	12	strongly	strongly	ADV
fumecheng-7346	260	13	nonlinear	nonlinear	ADJ
fumecheng-7346	260	14	equations	equation	NOUN
fumecheng-7346	260	15	,	,	PUNCT
fumecheng-7346	260	16	international	international	ADJ
fumecheng-7346	260	17	journal	journal	NOUN
fumecheng-7346	260	18	of	of	ADP
fumecheng-7346	260	19	modern	modern	ADJ
fumecheng-7346	260	20	physics	physics	PROPN
fumecheng-7346	260	21	b	b	PROPN
fumecheng-7346	260	22	,	,	PUNCT
fumecheng-7346	260	23	20	20	NUM
fumecheng-7346	260	24	,	,	PUNCT
fumecheng-7346	260	25	pp	pp	ADJ
fumecheng-7346	260	26	.	.	PUNCT
fumecheng-7346	260	27	1141–1199	1141–1199	NUM
fumecheng-7346	260	28	.	.	PUNCT
fumecheng-7346	261	1	20	20	NUM
fumecheng-7346	261	2	.	.	PUNCT
fumecheng-7346	262	1	he	he	PRON
fumecheng-7346	262	2	,	,	PUNCT
fumecheng-7346	262	3	j.h	j.h	PROPN
fumecheng-7346	262	4	.	.	PROPN
fumecheng-7346	262	5	,	,	PUNCT
fumecheng-7346	262	6	el	el	PROPN
fumecheng-7346	262	7	-	-	PUNCT
fumecheng-7346	262	8	dib	dib	PROPN
fumecheng-7346	262	9	,	,	PUNCT
fumecheng-7346	262	10	y.	y.	PROPN
fumecheng-7346	262	11	o.	o.	PROPN
fumecheng-7346	262	12	,	,	PUNCT
fumecheng-7346	262	13	2020	2020	NUM
fumecheng-7346	262	14	,	,	PUNCT
fumecheng-7346	262	15	the	the	DET
fumecheng-7346	262	16	reducing	reduce	VERB
fumecheng-7346	262	17	rank	rank	NOUN
fumecheng-7346	262	18	method	method	NOUN
fumecheng-7346	262	19	to	to	PART
fumecheng-7346	262	20	solve	solve	VERB
fumecheng-7346	262	21	third	third	ADJ
fumecheng-7346	262	22	-	-	PUNCT
fumecheng-7346	262	23	order	order	NOUN
fumecheng-7346	262	24	duffing	duffing	NOUN
fumecheng-7346	262	25	equation	equation	NOUN
fumecheng-7346	262	26	with	with	ADP
fumecheng-7346	262	27	the	the	DET
fumecheng-7346	262	28	homotopy	homotopy	NOUN
fumecheng-7346	262	29	perturbation	perturbation	NOUN
fumecheng-7346	262	30	,	,	PUNCT
fumecheng-7346	262	31	numerical	numerical	ADJ
fumecheng-7346	262	32	methods	method	NOUN
fumecheng-7346	262	33	for	for	ADP
fumecheng-7346	262	34	partial	partial	ADJ
fumecheng-7346	262	35	differential	differential	NOUN
fumecheng-7346	262	36	equations	equation	NOUN
fumecheng-7346	262	37	,	,	PUNCT
fumecheng-7346	262	38	doi	doi	NOUN
fumecheng-7346	262	39	:	:	PUNCT
fumecheng-7346	262	40	10.1002	10.1002	NUM
fumecheng-7346	262	41	/	/	SYM
fumecheng-7346	262	42	num.22609	num.22609	NUM
fumecheng-7346	262	43	21	21	NUM
fumecheng-7346	262	44	.	.	PUNCT
fumecheng-7346	263	1	filobello	filobello	NOUN
fumecheng-7346	263	2	-	-	PUNCT
fumecheng-7346	263	3	nino	nino	PROPN
fumecheng-7346	263	4	,	,	PUNCT
fumecheng-7346	263	5	u.	u.	PROPN
fumecheng-7346	263	6	,	,	PUNCT
fumecheng-7346	263	7	vazquez	vazquez	NOUN
fumecheng-7346	263	8	-	-	PUNCT
fumecheng-7346	263	9	leal	leal	PROPN
fumecheng-7346	263	10	,	,	PUNCT
fumecheng-7346	263	11	h.	h.	PROPN
fumecheng-7346	263	12	,	,	PUNCT
fumecheng-7346	263	13	herrera	herrera	NOUN
fumecheng-7346	263	14	-	-	PUNCT
fumecheng-7346	263	15	may	may	AUX
fumecheng-7346	263	16	,	,	PUNCT
fumecheng-7346	263	17	a.l	a.l	PROPN
fumecheng-7346	263	18	.	.	PROPN
fumecheng-7346	263	19	,	,	PUNCT
fumecheng-7346	263	20	ambrosio	ambrosio	NOUN
fumecheng-7346	263	21	-	-	PUNCT
fumecheng-7346	263	22	lazaro	lazaro	NOUN
fumecheng-7346	263	23	,	,	PUNCT
fumecheng-7346	263	24	r.c	r.c	PROPN
fumecheng-7346	263	25	.	.	PROPN
fumecheng-7346	263	26	,	,	PUNCT
fumecheng-7346	263	27	2020	2020	NUM
fumecheng-7346	263	28	,	,	PUNCT
fumecheng-7346	263	29	the	the	DET
fumecheng-7346	263	30	study	study	NOUN
fumecheng-7346	263	31	of	of	ADP
fumecheng-7346	263	32	heat	heat	NOUN
fumecheng-7346	263	33	transfer	transfer	NOUN
fumecheng-7346	263	34	phenomena	phenomenon	NOUN
fumecheng-7346	263	35	by	by	ADP
fumecheng-7346	263	36	using	use	VERB
fumecheng-7346	263	37	modified	modify	VERB
fumecheng-7346	263	38	homotopy	homotopy	NOUN
fumecheng-7346	263	39	perturbation	perturbation	NOUN
fumecheng-7346	263	40	method	method	NOUN
fumecheng-7346	263	41	coupled	couple	VERB
fumecheng-7346	263	42	by	by	ADP
fumecheng-7346	263	43	laplace	laplace	NOUN
fumecheng-7346	263	44	transform	transform	NOUN
fumecheng-7346	263	45	,	,	PUNCT
fumecheng-7346	263	46	thermal	thermal	ADJ
fumecheng-7346	263	47	science	science	NOUN
fumecheng-7346	263	48	,	,	PUNCT
fumecheng-7346	263	49	24(2	24(2	NUM
fumecheng-7346	263	50	)	)	PUNCT
fumecheng-7346	263	51	,	,	PUNCT
fumecheng-7346	263	52	pp	pp	ADJ
fumecheng-7346	263	53	.	.	PUNCT
fumecheng-7346	264	1	1105	1105	NUM
fumecheng-7346	264	2	-	-	SYM
fumecheng-7346	264	3	1115	1115	NUM
fumecheng-7346	264	4	22	22	NUM
fumecheng-7346	264	5	.	.	PUNCT
fumecheng-7346	265	1	he	he	PRON
fumecheng-7346	265	2	,	,	PUNCT
fumecheng-7346	265	3	j.h	j.h	PROPN
fumecheng-7346	265	4	.	.	PROPN
fumecheng-7346	265	5	,	,	PUNCT
fumecheng-7346	265	6	2014	2014	NUM
fumecheng-7346	265	7	,	,	PUNCT
fumecheng-7346	265	8	a	a	DET
fumecheng-7346	265	9	tutorial	tutorial	ADJ
fumecheng-7346	265	10	review	review	NOUN
fumecheng-7346	265	11	on	on	ADP
fumecheng-7346	265	12	fractal	fractal	ADJ
fumecheng-7346	265	13	space	space	NOUN
fumecheng-7346	265	14	-	-	PUNCT
fumecheng-7346	265	15	time	time	NOUN
fumecheng-7346	265	16	and	and	CCONJ
fumecheng-7346	265	17	fractional	fractional	ADJ
fumecheng-7346	265	18	calculus	calculus	NOUN
fumecheng-7346	265	19	.	.	PUNCT
fumecheng-7346	266	1	international	international	ADJ
fumecheng-7346	266	2	journal	journal	PROPN
fumecheng-7346	266	3	of	of	ADP
fumecheng-7346	266	4	theoretical	theoretical	ADJ
fumecheng-7346	266	5	physics	physics	NOUN
fumecheng-7346	266	6	,	,	PUNCT
fumecheng-7346	266	7	53	53	NUM
fumecheng-7346	266	8	,	,	PUNCT
fumecheng-7346	266	9	pp	pp	ADJ
fumecheng-7346	266	10	.	.	PUNCT
fumecheng-7346	267	1	3698–3718	3698–3718	NUM
fumecheng-7346	267	2	.	.	PUNCT
fumecheng-7346	268	1	23	23	NUM
fumecheng-7346	268	2	.	.	PUNCT
fumecheng-7346	269	1	anjum	anjum	PROPN
fumecheng-7346	269	2	n.	n.	PROPN
fumecheng-7346	269	3	,	,	PUNCT
fumecheng-7346	269	4	ain	ain	PROPN
fumecheng-7346	269	5	q.t	q.t	PROPN
fumecheng-7346	269	6	.	.	PROPN
fumecheng-7346	269	7	,	,	PUNCT
fumecheng-7346	269	8	2020	2020	NUM
fumecheng-7346	269	9	,	,	PUNCT
fumecheng-7346	269	10	application	application	NOUN
fumecheng-7346	269	11	of	of	ADP
fumecheng-7346	269	12	he	he	PRON
fumecheng-7346	269	13	’s	’	VERB
fumecheng-7346	269	14	fractional	fractional	ADJ
fumecheng-7346	269	15	derivative	derivative	ADJ
fumecheng-7346	269	16	and	and	CCONJ
fumecheng-7346	269	17	fractional	fractional	ADJ
fumecheng-7346	269	18	complex	complex	ADJ
fumecheng-7346	269	19	transform	transform	NOUN
fumecheng-7346	269	20	for	for	ADP
fumecheng-7346	269	21	time	time	NOUN
fumecheng-7346	269	22	fractional	fractional	ADJ
fumecheng-7346	269	23	camassa	camassa	ADJ
fumecheng-7346	269	24	-	-	PUNCT
fumecheng-7346	269	25	holm	holm	NOUN
fumecheng-7346	269	26	equation	equation	NOUN
fumecheng-7346	269	27	,	,	PUNCT
fumecheng-7346	269	28	thermal	thermal	ADJ
fumecheng-7346	269	29	science	science	NOUN
fumecheng-7346	269	30	,	,	PUNCT
fumecheng-7346	269	31	24(5a	24(5a	NUM
fumecheng-7346	269	32	)	)	PUNCT
fumecheng-7346	269	33	,	,	PUNCT
fumecheng-7346	269	34	pp	pp	ADP
fumecheng-7346	269	35	.	.	PUNCT
fumecheng-7346	270	1	3023	3023	NUM
fumecheng-7346	270	2	-	-	SYM
fumecheng-7346	270	3	3030	3030	NUM
fumecheng-7346	270	4	.	.	PUNCT
fumecheng-7346	271	1	24	24	NUM
fumecheng-7346	271	2	.	.	PUNCT
fumecheng-7346	272	1	he	he	PRON
fumecheng-7346	272	2	,	,	PUNCT
fumecheng-7346	272	3	j.h	j.h	PROPN
fumecheng-7346	272	4	.	.	PROPN
fumecheng-7346	272	5	,	,	PUNCT
fumecheng-7346	272	6	el	el	PROPN
fumecheng-7346	272	7	-	-	PUNCT
fumecheng-7346	272	8	dib	dib	PROPN
fumecheng-7346	272	9	,	,	PUNCT
fumecheng-7346	272	10	y.	y.	PROPN
fumecheng-7346	272	11	o.	o.	PROPN
fumecheng-7346	272	12	,	,	PUNCT
fumecheng-7346	272	13	2020	2020	NUM
fumecheng-7346	272	14	,	,	PUNCT
fumecheng-7346	272	15	periodic	periodic	ADJ
fumecheng-7346	272	16	property	property	NOUN
fumecheng-7346	272	17	of	of	ADP
fumecheng-7346	272	18	the	the	DET
fumecheng-7346	272	19	time	time	NOUN
fumecheng-7346	272	20	-	-	PUNCT
fumecheng-7346	272	21	fractional	fractional	ADJ
fumecheng-7346	272	22	kundu	kundu	NOUN
fumecheng-7346	272	23	–	–	PUNCT
fumecheng-7346	272	24	mukherjee	mukherjee	NOUN
fumecheng-7346	272	25	–	–	PUNCT
fumecheng-7346	272	26	naskar	naskar	NOUN
fumecheng-7346	272	27	equation	equation	NOUN
fumecheng-7346	272	28	,	,	PUNCT
fumecheng-7346	272	29	results	result	NOUN
fumecheng-7346	272	30	in	in	ADP
fumecheng-7346	272	31	physics	physics	NOUN
fumecheng-7346	272	32	,	,	PUNCT
fumecheng-7346	272	33	doi	doi	PROPN
fumecheng-7346	272	34	:	:	PUNCT
fumecheng-7346	272	35	10.1016	10.1016	NUM
fumecheng-7346	272	36	/	/	SYM
fumecheng-7346	272	37	j.rinp.2020.103345	j.rinp.2020.103345	PROPN
fumecheng-7346	272	38	25	25	NUM
fumecheng-7346	272	39	.	.	PUNCT
fumecheng-7346	273	1	wu	wu	PROPN
fumecheng-7346	273	2	,	,	PUNCT
fumecheng-7346	273	3	y.	y.	PROPN
fumecheng-7346	273	4	,	,	PUNCT
fumecheng-7346	273	5	and	and	CCONJ
fumecheng-7346	273	6	he	he	PRON
fumecheng-7346	273	7	,	,	PUNCT
fumecheng-7346	273	8	j.h	j.h	PROPN
fumecheng-7346	273	9	.	.	PROPN
fumecheng-7346	273	10	,	,	PUNCT
fumecheng-7346	273	11	2018	2018	NUM
fumecheng-7346	273	12	,	,	PUNCT
fumecheng-7346	273	13	homotopy	homotopy	VERB
fumecheng-7346	273	14	perturbation	perturbation	NOUN
fumecheng-7346	273	15	method	method	NOUN
fumecheng-7346	273	16	for	for	ADP
fumecheng-7346	273	17	nonlinear	nonlinear	ADJ
fumecheng-7346	273	18	oscillators	oscillator	NOUN
fumecheng-7346	273	19	with	with	ADP
fumecheng-7346	273	20	coordinate	coordinate	NOUN
fumecheng-7346	273	21	dependent	dependent	ADJ
fumecheng-7346	273	22	mass	mass	NOUN
fumecheng-7346	273	23	,	,	PUNCT
fumecheng-7346	273	24	results	result	NOUN
fumecheng-7346	273	25	in	in	ADP
fumecheng-7346	273	26	physics	physics	NOUN
fumecheng-7346	273	27	,	,	PUNCT
fumecheng-7346	273	28	10	10	NUM
fumecheng-7346	273	29	,	,	PUNCT
fumecheng-7346	273	30	pp	pp	ADJ
fumecheng-7346	273	31	.	.	PUNCT
fumecheng-7346	274	1	270–271	270–271	NUM
fumecheng-7346	274	2	.	.	X
fumecheng-7346	275	1	26	26	NUM
fumecheng-7346	275	2	.	.	X
fumecheng-7346	275	3	ali	ali	PROPN
fumecheng-7346	275	4	,	,	PUNCT
fumecheng-7346	275	5	m.	m.	NOUN
fumecheng-7346	275	6	,	,	PUNCT
fumecheng-7346	275	7	anjum	anjum	PROPN
fumecheng-7346	275	8	n.	n.	PROPN
fumecheng-7346	275	9	,	,	PUNCT
fumecheng-7346	275	10	ain	ain	PROPN
fumecheng-7346	275	11	q.t	q.t	PROPN
fumecheng-7346	275	12	.	.	PROPN
fumecheng-7346	275	13	,	,	PUNCT
fumecheng-7346	275	14	he	he	PRON
fumecheng-7346	275	15	,	,	PUNCT
fumecheng-7346	275	16	j.h	j.h	PROPN
fumecheng-7346	275	17	.	.	PROPN
fumecheng-7346	275	18	,	,	PUNCT
fumecheng-7346	275	19	2020	2020	NUM
fumecheng-7346	275	20	,	,	PUNCT
fumecheng-7346	275	21	homotopy	homotopy	VERB
fumecheng-7346	275	22	perturbation	perturbation	NOUN
fumecheng-7346	275	23	method	method	NOUN
fumecheng-7346	275	24	for	for	ADP
fumecheng-7346	275	25	the	the	DET
fumecheng-7346	275	26	attachment	attachment	NOUN
fumecheng-7346	275	27	oscillator	oscillator	NOUN
fumecheng-7346	275	28	arising	arise	VERB
fumecheng-7346	275	29	in	in	ADP
fumecheng-7346	275	30	nanotechnology	nanotechnology	NOUN
fumecheng-7346	275	31	,	,	PUNCT
fumecheng-7346	275	32	fibers	fiber	NOUN
fumecheng-7346	275	33	and	and	CCONJ
fumecheng-7346	275	34	polymers	polymer	NOUN
fumecheng-7346	275	35	,	,	PUNCT
fumecheng-7346	275	36	(	(	PUNCT
fumecheng-7346	275	37	article	article	NOUN
fumecheng-7346	275	38	in	in	ADP
fumecheng-7346	275	39	press	press	NOUN
fumecheng-7346	275	40	)	)	PUNCT
fumecheng-7346	275	41	.	.	PUNCT
fumecheng-7346	276	1	27	27	NUM
fumecheng-7346	276	2	.	.	PUNCT
fumecheng-7346	277	1	he	he	PRON
fumecheng-7346	277	2	,	,	PUNCT
fumecheng-7346	277	3	j.h	j.h	PROPN
fumecheng-7346	277	4	.	.	PROPN
fumecheng-7346	277	5	,	,	PUNCT
fumecheng-7346	277	6	el	el	PROPN
fumecheng-7346	277	7	-	-	PUNCT
fumecheng-7346	277	8	dib	dib	PROPN
fumecheng-7346	277	9	,	,	PUNCT
fumecheng-7346	277	10	y.o	y.o	PROPN
fumecheng-7346	277	11	.	.	PROPN
fumecheng-7346	277	12	,	,	PUNCT
fumecheng-7346	277	13	2020	2020	NUM
fumecheng-7346	277	14	,	,	PUNCT
fumecheng-7346	277	15	homotopy	homotopy	VERB
fumecheng-7346	277	16	perturbation	perturbation	NOUN
fumecheng-7346	277	17	method	method	NOUN
fumecheng-7346	277	18	for	for	ADP
fumecheng-7346	277	19	fangzhu	fangzhu	PROPN
fumecheng-7346	277	20	oscillator	oscillator	NOUN
fumecheng-7346	277	21	,	,	PUNCT
fumecheng-7346	277	22	journal	journal	NOUN
fumecheng-7346	277	23	of	of	ADP
fumecheng-7346	277	24	mathematical	mathematical	ADJ
fumecheng-7346	277	25	chemistry	chemistry	NOUN
fumecheng-7346	277	26	,	,	PUNCT
fumecheng-7346	277	27	58(10	58(10	NUM
fumecheng-7346	277	28	)	)	PUNCT
fumecheng-7346	277	29	,	,	PUNCT
fumecheng-7346	277	30	pp	pp	ADP
fumecheng-7346	277	31	.	.	PUNCT
fumecheng-7346	278	1	2245–2253	2245–2253	NUM
fumecheng-7346	278	2	.	.	PUNCT
fumecheng-7346	279	1	28	28	NUM
fumecheng-7346	279	2	.	.	PUNCT
fumecheng-7346	280	1	anjum	anjum	PROPN
fumecheng-7346	280	2	,	,	PUNCT
fumecheng-7346	280	3	n.	n.	PROPN
fumecheng-7346	280	4	,	,	PUNCT
fumecheng-7346	280	5	he	he	PRON
fumecheng-7346	280	6	,	,	PUNCT
fumecheng-7346	280	7	j.h	j.h	PROPN
fumecheng-7346	280	8	.	.	PROPN
fumecheng-7346	280	9	,	,	PUNCT
fumecheng-7346	280	10	2020	2020	NUM
fumecheng-7346	280	11	,	,	PUNCT
fumecheng-7346	280	12	higher	high	ADJ
fumecheng-7346	280	13	-	-	PUNCT
fumecheng-7346	280	14	order	order	NOUN
fumecheng-7346	280	15	homotopy	homotopy	NOUN
fumecheng-7346	280	16	perturbation	perturbation	NOUN
fumecheng-7346	280	17	method	method	NOUN
fumecheng-7346	280	18	for	for	ADP
fumecheng-7346	280	19	conservative	conservative	ADJ
fumecheng-7346	280	20	nonlinear	nonlinear	ADJ
fumecheng-7346	280	21	oscillators	oscillator	NOUN
fumecheng-7346	280	22	generally	generally	ADV
fumecheng-7346	280	23	and	and	CCONJ
fumecheng-7346	280	24	microelectromechanical	microelectromechanical	ADJ
fumecheng-7346	280	25	systems	system	NOUN
fumecheng-7346	280	26	’	'	PUNCT
fumecheng-7346	280	27	oscillators	oscillator	NOUN
fumecheng-7346	280	28	particularly	particularly	ADV
fumecheng-7346	280	29	,	,	PUNCT
fumecheng-7346	280	30	international	international	ADJ
fumecheng-7346	280	31	journal	journal	NOUN
fumecheng-7346	280	32	of	of	ADP
fumecheng-7346	280	33	modern	modern	ADJ
fumecheng-7346	280	34	physics	physics	PROPN
fumecheng-7346	280	35	b	b	PROPN
fumecheng-7346	280	36	,	,	PUNCT
fumecheng-7346	280	37	article	article	NOUN
fumecheng-7346	280	38	no	no	NOUN
fumecheng-7346	280	39	.	.	PROPN
fumecheng-7346	280	40	20503130	20503130	NUM
fumecheng-7346	280	41	,	,	PUNCT
fumecheng-7346	280	42	doi	doi	NOUN
fumecheng-7346	280	43	:	:	PUNCT
fumecheng-7346	280	44	10.1142	10.1142	NUM
fumecheng-7346	280	45	/	/	SYM
fumecheng-7346	280	46	s0217979220503130	s0217979220503130	PROPN
fumecheng-7346	280	47	29	29	NUM
fumecheng-7346	280	48	.	.	PUNCT
fumecheng-7346	281	1	anjum	anjum	PROPN
fumecheng-7346	281	2	.	.	PUNCT
fumecheng-7346	282	1	n.	n.	PROPN
fumecheng-7346	282	2	,	,	PUNCT
fumecheng-7346	282	3	he	he	PRON
fumecheng-7346	282	4	,	,	PUNCT
fumecheng-7346	282	5	j.h	j.h	PROPN
fumecheng-7346	282	6	.	.	PROPN
fumecheng-7346	282	7	,	,	PUNCT
fumecheng-7346	282	8	2020	2020	NUM
fumecheng-7346	282	9	,	,	PUNCT
fumecheng-7346	282	10	homotopy	homotopy	VERB
fumecheng-7346	282	11	perturbation	perturbation	NOUN
fumecheng-7346	282	12	method	method	NOUN
fumecheng-7346	282	13	for	for	ADP
fumecheng-7346	282	14	n	n	CCONJ
fumecheng-7346	282	15	/	/	SYM
fumecheng-7346	282	16	mems	mem	NOUN
fumecheng-7346	282	17	oscillators	oscillator	NOUN
fumecheng-7346	282	18	,	,	PUNCT
fumecheng-7346	282	19	mathematical	mathematical	ADJ
fumecheng-7346	282	20	methods	method	NOUN
fumecheng-7346	282	21	in	in	ADP
fumecheng-7346	282	22	the	the	DET
fumecheng-7346	282	23	applied	apply	VERB
fumecheng-7346	282	24	sciences	science	NOUN
fumecheng-7346	282	25	,	,	PUNCT
fumecheng-7346	282	26	doi	doi	NOUN
fumecheng-7346	282	27	:	:	PUNCT
fumecheng-7346	282	28	10.1002	10.1002	NUM
fumecheng-7346	282	29	/	/	SYM
fumecheng-7346	282	30	mma.6583	mma.6583	NOUN
fumecheng-7346	282	31	.	.	NOUN
fumecheng-7346	282	32	30	30	NUM
fumecheng-7346	282	33	.	.	PUNCT
fumecheng-7346	283	1	he	he	PRON
fumecheng-7346	283	2	,	,	PUNCT
fumecheng-7346	283	3	j.h	j.h	PROPN
fumecheng-7346	283	4	.	.	PROPN
fumecheng-7346	283	5	,	,	PUNCT
fumecheng-7346	283	6	2019	2019	NUM
fumecheng-7346	283	7	,	,	PUNCT
fumecheng-7346	283	8	the	the	PRON
fumecheng-7346	283	9	simpler	simple	ADJ
fumecheng-7346	283	10	,	,	PUNCT
fumecheng-7346	283	11	the	the	PRON
fumecheng-7346	283	12	better	well	ADJ
fumecheng-7346	283	13	:	:	PUNCT
fumecheng-7346	283	14	analytical	analytical	ADJ
fumecheng-7346	283	15	methods	method	NOUN
fumecheng-7346	283	16	for	for	ADP
fumecheng-7346	283	17	nonlinear	nonlinear	ADJ
fumecheng-7346	283	18	oscillators	oscillator	NOUN
fumecheng-7346	283	19	and	and	CCONJ
fumecheng-7346	283	20	fractional	fractional	ADJ
fumecheng-7346	283	21	oscillators	oscillator	NOUN
fumecheng-7346	283	22	,	,	PUNCT
fumecheng-7346	283	23	journal	journal	NOUN
fumecheng-7346	283	24	of	of	ADP
fumecheng-7346	283	25	low	low	ADJ
fumecheng-7346	283	26	frequency	frequency	NOUN
fumecheng-7346	283	27	noise	noise	NOUN
fumecheng-7346	283	28	vibration	vibration	NOUN
fumecheng-7346	283	29	and	and	CCONJ
fumecheng-7346	283	30	active	active	ADJ
fumecheng-7346	283	31	control	control	NOUN
fumecheng-7346	283	32	,	,	PUNCT
fumecheng-7346	283	33	38	38	NUM
fumecheng-7346	283	34	,	,	PUNCT
fumecheng-7346	283	35	pp.1252	pp.1252	PROPN
fumecheng-7346	283	36	-	-	PUNCT
fumecheng-7346	283	37	1260	1260	NUM
fumecheng-7346	283	38	31	31	NUM
fumecheng-7346	283	39	.	.	PUNCT
fumecheng-7346	284	1	he	he	PRON
fumecheng-7346	284	2	,	,	PUNCT
fumecheng-7346	284	3	j.h	j.h	PROPN
fumecheng-7346	284	4	.	.	PROPN
fumecheng-7346	284	5	,	,	PUNCT
fumecheng-7346	284	6	2014	2014	NUM
fumecheng-7346	284	7	,	,	PUNCT
fumecheng-7346	284	8	homotopy	homotopy	VERB
fumecheng-7346	284	9	perturbation	perturbation	NOUN
fumecheng-7346	284	10	method	method	NOUN
fumecheng-7346	284	11	with	with	ADP
fumecheng-7346	284	12	two	two	NUM
fumecheng-7346	284	13	expanding	expand	VERB
fumecheng-7346	284	14	parameters	parameter	NOUN
fumecheng-7346	284	15	,	,	PUNCT
fumecheng-7346	284	16	indian	indian	ADJ
fumecheng-7346	284	17	journal	journal	NOUN
fumecheng-7346	284	18	of	of	ADP
fumecheng-7346	284	19	physics	physics	PROPN
fumecheng-7346	284	20	,	,	PUNCT
fumecheng-7346	284	21	88	88	NUM
fumecheng-7346	284	22	,	,	PUNCT
fumecheng-7346	284	23	pp	pp	ADJ
fumecheng-7346	284	24	.	.	PUNCT
fumecheng-7346	285	1	193–196	193–196	NUM
fumecheng-7346	285	2	.	.	PUNCT
fumecheng-7346	286	1	32	32	NUM
fumecheng-7346	286	2	.	.	X
fumecheng-7346	287	1	shou	shou	PROPN
fumecheng-7346	287	2	,	,	PUNCT
fumecheng-7346	287	3	d.h	d.h	PROPN
fumecheng-7346	287	4	.	.	PROPN
fumecheng-7346	287	5	,	,	PUNCT
fumecheng-7346	287	6	he	he	PRON
fumecheng-7346	287	7	,	,	PUNCT
fumecheng-7346	287	8	j.h	j.h	PROPN
fumecheng-7346	287	9	.	.	PROPN
fumecheng-7346	287	10	,	,	PUNCT
fumecheng-7346	287	11	2007	2007	NUM
fumecheng-7346	287	12	,	,	PUNCT
fumecheng-7346	287	13	application	application	NOUN
fumecheng-7346	287	14	of	of	ADP
fumecheng-7346	287	15	parameter	parameter	NOUN
fumecheng-7346	287	16	-	-	PUNCT
fumecheng-7346	287	17	expanding	expand	VERB
fumecheng-7346	287	18	method	method	NOUN
fumecheng-7346	287	19	to	to	PART
fumecheng-7346	287	20	strongly	strongly	ADV
fumecheng-7346	287	21	nonlinear	nonlinear	ADJ
fumecheng-7346	287	22	oscillators	oscillator	NOUN
fumecheng-7346	287	23	,	,	PUNCT
fumecheng-7346	287	24	international	international	ADJ
fumecheng-7346	287	25	journal	journal	NOUN
fumecheng-7346	287	26	of	of	ADP
fumecheng-7346	287	27	nonlinear	nonlinear	PROPN
fumecheng-7346	287	28	science	science	PROPN
fumecheng-7346	287	29	&	&	CCONJ
fumecheng-7346	287	30	numerical	numerical	PROPN
fumecheng-7346	287	31	simulation	simulation	PROPN
fumecheng-7346	287	32	,	,	PUNCT
fumecheng-7346	287	33	8	8	NUM
fumecheng-7346	287	34	,	,	PUNCT
fumecheng-7346	287	35	pp	pp	ADJ
fumecheng-7346	287	36	.	.	PUNCT
fumecheng-7346	288	1	121	121	NUM
fumecheng-7346	288	2	-	-	SYM
fumecheng-7346	288	3	124	124	NUM
fumecheng-7346	288	4	.	.	PUNCT
fumecheng-7346	289	1	33	33	NUM
fumecheng-7346	289	2	.	.	PUNCT
fumecheng-7346	290	1	he	he	PRON
fumecheng-7346	290	2	,	,	PUNCT
fumecheng-7346	290	3	j.h	j.h	PROPN
fumecheng-7346	290	4	.	.	PROPN
fumecheng-7346	290	5	,	,	PUNCT
fumecheng-7346	290	6	2012	2012	NUM
fumecheng-7346	290	7	,	,	PUNCT
fumecheng-7346	290	8	homotopy	homotopy	VERB
fumecheng-7346	290	9	perturbation	perturbation	NOUN
fumecheng-7346	290	10	method	method	NOUN
fumecheng-7346	290	11	with	with	ADP
fumecheng-7346	290	12	an	an	DET
fumecheng-7346	290	13	auxiliary	auxiliary	ADJ
fumecheng-7346	290	14	term	term	NOUN
fumecheng-7346	290	15	,	,	PUNCT
fumecheng-7346	290	16	abstract	abstract	ADJ
fumecheng-7346	290	17	in	in	ADP
fumecheng-7346	290	18	applied	apply	VERB
fumecheng-7346	290	19	analysis	analysis	NOUN
fumecheng-7346	290	20	,	,	PUNCT
fumecheng-7346	290	21	857612	857612	NUM
fumecheng-7346	290	22	.	.	PUNCT
fumecheng-7346	291	1	34	34	NUM
fumecheng-7346	291	2	.	.	PUNCT
fumecheng-7346	291	3	yu	yu	PROPN
fumecheng-7346	291	4	,	,	PUNCT
fumecheng-7346	291	5	d.n	d.n	PROPN
fumecheng-7346	291	6	.	.	PROPN
fumecheng-7346	291	7	,	,	PUNCT
fumecheng-7346	291	8	he	he	PRON
fumecheng-7346	291	9	,	,	PUNCT
fumecheng-7346	291	10	j.h	j.h	PROPN
fumecheng-7346	291	11	.	.	PROPN
fumecheng-7346	291	12	,	,	PUNCT
fumecheng-7346	291	13	garcia	garcia	PROPN
fumecheng-7346	291	14	,	,	PUNCT
fumecheng-7346	291	15	a.g	a.g	PROPN
fumecheng-7346	291	16	.	.	PROPN
fumecheng-7346	291	17	,	,	PUNCT
fumecheng-7346	291	18	2019	2019	NUM
fumecheng-7346	291	19	,	,	PUNCT
fumecheng-7346	291	20	homotopy	homotopy	VERB
fumecheng-7346	291	21	perturbation	perturbation	NOUN
fumecheng-7346	291	22	method	method	NOUN
fumecheng-7346	291	23	with	with	ADP
fumecheng-7346	291	24	an	an	DET
fumecheng-7346	291	25	auxiliary	auxiliary	ADJ
fumecheng-7346	291	26	parameter	parameter	NOUN
fumecheng-7346	291	27	for	for	ADP
fumecheng-7346	291	28	nonlinear	nonlinear	ADJ
fumecheng-7346	291	29	oscillators	oscillator	NOUN
fumecheng-7346	291	30	,	,	PUNCT
fumecheng-7346	291	31	journal	journal	NOUN
fumecheng-7346	291	32	of	of	ADP
fumecheng-7346	291	33	low	low	ADJ
fumecheng-7346	291	34	frequency	frequency	NOUN
fumecheng-7346	291	35	noise	noise	NOUN
fumecheng-7346	291	36	vibration	vibration	NOUN
fumecheng-7346	291	37	and	and	CCONJ
fumecheng-7346	291	38	active	active	ADJ
fumecheng-7346	291	39	control	control	NOUN
fumecheng-7346	291	40	,	,	PUNCT
fumecheng-7346	291	41	38	38	NUM
fumecheng-7346	291	42	,	,	PUNCT
fumecheng-7346	291	43	pp	pp	ADJ
fumecheng-7346	291	44	.	.	PUNCT
fumecheng-7346	292	1	1540	1540	NUM
fumecheng-7346	292	2	-	-	SYM
fumecheng-7346	292	3	1554	1554	NUM
fumecheng-7346	292	4	35	35	NUM
fumecheng-7346	292	5	.	.	PUNCT
fumecheng-7346	293	1	kuang	kuang	PROPN
fumecheng-7346	293	2	,	,	PUNCT
fumecheng-7346	293	3	w.	w.	PROPN
fumecheng-7346	293	4	,	,	PUNCT
fumecheng-7346	293	5	wang	wang	PROPN
fumecheng-7346	293	6	,	,	PUNCT
fumecheng-7346	293	7	j.	j.	PROPN
fumecheng-7346	293	8	,	,	PUNCT
fumecheng-7346	293	9	huang	huang	PROPN
fumecheng-7346	293	10	,	,	PUNCT
fumecheng-7346	293	11	c.	c.	PROPN
fumecheng-7346	293	12	,	,	PUNCT
fumecheng-7346	293	13	lu	lu	PROPN
fumecheng-7346	293	14	,	,	PUNCT
fumecheng-7346	293	15	l.	l.	PROPN
fumecheng-7346	293	16	,	,	PUNCT
fumecheng-7346	293	17	gao	gao	PROPN
fumecheng-7346	293	18	,	,	PUNCT
fumecheng-7346	293	19	d.	d.	PROPN
fumecheng-7346	293	20	,	,	PUNCT
fumecheng-7346	293	21	wang	wang	PROPN
fumecheng-7346	293	22	,	,	PUNCT
fumecheng-7346	293	23	z.	z.	PROPN
fumecheng-7346	293	24	,	,	PUNCT
fumecheng-7346	293	25	ge	ge	PROPN
fumecheng-7346	293	26	,	,	PUNCT
fumecheng-7346	293	27	c.	c.	PROPN
fumecheng-7346	293	28	,	,	PUNCT
fumecheng-7346	293	29	2019	2019	NUM
fumecheng-7346	293	30	,	,	PUNCT
fumecheng-7346	293	31	homotopy	homotopy	VERB
fumecheng-7346	293	32	perturbation	perturbation	NOUN
fumecheng-7346	293	33	method	method	NOUN
fumecheng-7346	293	34	with	with	ADP
fumecheng-7346	293	35	an	an	DET
fumecheng-7346	293	36	auxiliary	auxiliary	ADJ
fumecheng-7346	293	37	term	term	NOUN
fumecheng-7346	293	38	for	for	ADP
fumecheng-7346	293	39	the	the	DET
fumecheng-7346	293	40	optimal	optimal	ADJ
fumecheng-7346	293	41	design	design	NOUN
fumecheng-7346	293	42	of	of	ADP
fumecheng-7346	293	43	a	a	DET
fumecheng-7346	293	44	tangent	tangent	ADJ
fumecheng-7346	293	45	nonlinear	nonlinear	ADJ
fumecheng-7346	293	46	packaging	packaging	NOUN
fumecheng-7346	293	47	system	system	NOUN
fumecheng-7346	293	48	,	,	PUNCT
fumecheng-7346	293	49	journal	journal	NOUN
fumecheng-7346	293	50	of	of	ADP
fumecheng-7346	293	51	low	low	ADJ
fumecheng-7346	293	52	frequency	frequency	NOUN
fumecheng-7346	293	53	noise	noise	NOUN
fumecheng-7346	293	54	vibration	vibration	NOUN
fumecheng-7346	293	55	and	and	CCONJ
fumecheng-7346	293	56	active	active	ADJ
fumecheng-7346	293	57	control	control	NOUN
fumecheng-7346	293	58	,	,	PUNCT
fumecheng-7346	293	59	38(3	38(3	NUM
fumecheng-7346	293	60	-	-	SYM
fumecheng-7346	293	61	4	4	NUM
fumecheng-7346	293	62	)	)	PUNCT
fumecheng-7346	293	63	,	,	PUNCT
fumecheng-7346	293	64	pp	pp	PROPN
fumecheng-7346	293	65	.	.	PUNCT
fumecheng-7346	294	1	1075	1075	NUM
fumecheng-7346	294	2	-	-	SYM
fumecheng-7346	294	3	1080	1080	NUM
fumecheng-7346	294	4	.	.	PUNCT
fumecheng-7346	295	1	36	36	NUM
fumecheng-7346	295	2	.	.	PUNCT
fumecheng-7346	296	1	filobello	filobello	NOUN
fumecheng-7346	296	2	-	-	PUNCT
fumecheng-7346	296	3	nino	nino	PROPN
fumecheng-7346	296	4	,	,	PUNCT
fumecheng-7346	296	5	u.	u.	PROPN
fumecheng-7346	296	6	,	,	PUNCT
fumecheng-7346	296	7	vazquez	vazquez	NOUN
fumecheng-7346	296	8	-	-	PUNCT
fumecheng-7346	296	9	leal	leal	PROPN
fumecheng-7346	296	10	,	,	PUNCT
fumecheng-7346	296	11	h.	h.	PROPN
fumecheng-7346	296	12	,	,	PUNCT
fumecheng-7346	296	13	jimenez	jimenez	PROPN
fumecheng-7346	296	14	-	-	PUNCT
fumecheng-7346	296	15	fernandez	fernandez	PROPN
fumecheng-7346	296	16	,	,	PUNCT
fumecheng-7346	296	17	v.m	v.m	PROPN
fumecheng-7346	296	18	.	.	PROPN
fumecheng-7346	296	19	,	,	PUNCT
fumecheng-7346	296	20	2018	2018	NUM
fumecheng-7346	296	21	,	,	PUNCT
fumecheng-7346	296	22	enhanced	enhance	VERB
fumecheng-7346	296	23	classical	classical	ADJ
fumecheng-7346	296	24	perturbation	perturbation	NOUN
fumecheng-7346	296	25	method	method	NOUN
fumecheng-7346	296	26	,	,	PUNCT
fumecheng-7346	296	27	nonlinear	nonlinear	ADJ
fumecheng-7346	296	28	science	science	NOUN
fumecheng-7346	296	29	letters	letter	NOUN
fumecheng-7346	296	30	a	a	PRON
fumecheng-7346	296	31	,	,	PUNCT
fumecheng-7346	296	32	9	9	NUM
fumecheng-7346	296	33	,	,	PUNCT
fumecheng-7346	296	34	pp	pp	ADJ
fumecheng-7346	296	35	.	.	PUNCT
fumecheng-7346	297	1	172–185	172–185	NUM
fumecheng-7346	297	2	.	.	PUNCT
fumecheng-7346	298	1	37	37	NUM
fumecheng-7346	298	2	.	.	PUNCT
fumecheng-7346	299	1	li	li	PROPN
fumecheng-7346	299	2	,	,	PUNCT
fumecheng-7346	299	3	x.x	x.x	PROPN
fumecheng-7346	299	4	.	.	PROPN
fumecheng-7346	299	5	,	,	PUNCT
fumecheng-7346	299	6	he	he	PRON
fumecheng-7346	299	7	,	,	PUNCT
fumecheng-7346	299	8	c.h	c.h	PROPN
fumecheng-7346	299	9	.	.	PROPN
fumecheng-7346	299	10	,	,	PUNCT
fumecheng-7346	299	11	2018	2018	NUM
fumecheng-7346	299	12	,	,	PUNCT
fumecheng-7346	299	13	homotopy	homotopy	VERB
fumecheng-7346	299	14	perturbation	perturbation	NOUN
fumecheng-7346	299	15	method	method	NOUN
fumecheng-7346	299	16	coupled	couple	VERB
fumecheng-7346	299	17	with	with	ADP
fumecheng-7346	299	18	the	the	DET
fumecheng-7346	299	19	enhanced	enhanced	ADJ
fumecheng-7346	299	20	perturbation	perturbation	NOUN
fumecheng-7346	299	21	method	method	NOUN
fumecheng-7346	299	22	,	,	PUNCT
fumecheng-7346	299	23	journal	journal	NOUN
fumecheng-7346	299	24	of	of	ADP
fumecheng-7346	299	25	low	low	ADJ
fumecheng-7346	299	26	frequency	frequency	NOUN
fumecheng-7346	299	27	noise	noise	NOUN
fumecheng-7346	299	28	vibration	vibration	NOUN
fumecheng-7346	299	29	and	and	CCONJ
fumecheng-7346	299	30	active	active	ADJ
fumecheng-7346	299	31	control	control	NOUN
fumecheng-7346	299	32	,	,	PUNCT
fumecheng-7346	299	33	doi:10.1177/1461348418800554	doi:10.1177/1461348418800554	NOUN
fumecheng-7346	299	34	.	.	PUNCT
fumecheng-7346	300	1	38	38	NUM
fumecheng-7346	300	2	.	.	PUNCT
fumecheng-7346	301	1	ji	ji	PROPN
fumecheng-7346	301	2	,	,	PUNCT
fumecheng-7346	301	3	q.p	q.p	PROPN
fumecheng-7346	301	4	.	.	PROPN
fumecheng-7346	301	5	,	,	PUNCT
fumecheng-7346	301	6	wang	wang	PROPN
fumecheng-7346	301	7	,	,	PUNCT
fumecheng-7346	301	8	j.	j.	PROPN
fumecheng-7346	301	9	,	,	PUNCT
fumecheng-7346	301	10	lu	lu	PROPN
fumecheng-7346	301	11	,	,	PUNCT
fumecheng-7346	301	12	l.x	l.x	PROPN
fumecheng-7346	301	13	.	.	PROPN
fumecheng-7346	301	14	,	,	PUNCT
fumecheng-7346	301	15	ge	ge	PROPN
fumecheng-7346	301	16	,	,	PUNCT
fumecheng-7346	301	17	c.f	c.f	PROPN
fumecheng-7346	301	18	.	.	PROPN
fumecheng-7346	301	19	,	,	PUNCT
fumecheng-7346	301	20	2020	2020	NUM
fumecheng-7346	301	21	,	,	PUNCT
fumecheng-7346	301	22	li	li	PROPN
fumecheng-7346	301	23	–	–	PUNCT
fumecheng-7346	301	24	he	he	PRON
fumecheng-7346	301	25	’s	’	VERB
fumecheng-7346	301	26	modified	modify	VERB
fumecheng-7346	301	27	homotopy	homotopy	PROPN
fumecheng-7346	301	28	perturbation	perturbation	NOUN
fumecheng-7346	301	29	method	method	NOUN
fumecheng-7346	301	30	coupled	couple	VERB
fumecheng-7346	301	31	with	with	ADP
fumecheng-7346	301	32	the	the	DET
fumecheng-7346	301	33	energy	energy	NOUN
fumecheng-7346	301	34	method	method	NOUN
fumecheng-7346	301	35	for	for	ADP
fumecheng-7346	301	36	the	the	DET
fumecheng-7346	301	37	dropping	drop	VERB
fumecheng-7346	301	38	shock	shock	NOUN
fumecheng-7346	301	39	response	response	NOUN
fumecheng-7346	301	40	of	of	ADP
fumecheng-7346	301	41	a	a	DET
fumecheng-7346	301	42	tangent	tangent	ADJ
fumecheng-7346	301	43	nonlinear	nonlinear	ADJ
fumecheng-7346	301	44	packaging	packaging	NOUN
fumecheng-7346	301	45	system	system	NOUN
fumecheng-7346	301	46	,	,	PUNCT
fumecheng-7346	301	47	journal	journal	NOUN
fumecheng-7346	301	48	of	of	ADP
fumecheng-7346	301	49	low	low	ADJ
fumecheng-7346	301	50	frequency	frequency	NOUN
fumecheng-7346	301	51	noise	noise	NOUN
fumecheng-7346	301	52	vibration	vibration	NOUN
fumecheng-7346	301	53	and	and	CCONJ
fumecheng-7346	301	54	active	active	ADJ
fumecheng-7346	301	55	control	control	NOUN
fumecheng-7346	301	56	,	,	PUNCT
fumecheng-7346	301	57	doi	doi	NOUN
fumecheng-7346	301	58	:	:	PUNCT
fumecheng-7346	301	59	10.1177/1461348420914457	10.1177/1461348420914457	NUM
fumecheng-7346	301	60	39	39	NUM
fumecheng-7346	301	61	.	.	PUNCT
fumecheng-7346	302	1	shishesaz	shishesaz	PROPN
fumecheng-7346	302	2	,	,	PUNCT
fumecheng-7346	302	3	m.	m.	NOUN
fumecheng-7346	302	4	,	,	PUNCT
fumecheng-7346	302	5	shirbani	shirbani	PROPN
fumecheng-7346	302	6	,	,	PUNCT
fumecheng-7346	302	7	m.m	m.m	PROPN
fumecheng-7346	302	8	.	.	PROPN
fumecheng-7346	302	9	,	,	PUNCT
fumecheng-7346	302	10	sedighi	sedighi	PROPN
fumecheng-7346	302	11	,	,	PUNCT
fumecheng-7346	302	12	h.m	h.m	PROPN
fumecheng-7346	302	13	.	.	PROPN
fumecheng-7346	302	14	,	,	PUNCT
fumecheng-7346	302	15	hajnayeb	hajnayeb	PROPN
fumecheng-7346	302	16	,	,	PUNCT
fumecheng-7346	302	17	a.	a.	NOUN
fumecheng-7346	302	18	,	,	PUNCT
fumecheng-7346	302	19	2018	2018	NUM
fumecheng-7346	302	20	,	,	PUNCT
fumecheng-7346	302	21	design	design	NOUN
fumecheng-7346	302	22	and	and	CCONJ
fumecheng-7346	302	23	analytical	analytical	ADJ
fumecheng-7346	302	24	modeling	modeling	NOUN
fumecheng-7346	302	25	of	of	ADP
fumecheng-7346	302	26	magneto	magneto	ADJ
fumecheng-7346	302	27	-	-	PUNCT
fumecheng-7346	302	28	electromechanical	electromechanical	ADJ
fumecheng-7346	302	29	characteristics	characteristic	NOUN
fumecheng-7346	302	30	of	of	ADP
fumecheng-7346	302	31	a	a	DET
fumecheng-7346	302	32	novel	novel	ADJ
fumecheng-7346	302	33	magneto	magneto	NOUN
fumecheng-7346	302	34	-	-	PUNCT
fumecheng-7346	302	35	electro	electro	ADJ
fumecheng-7346	302	36	-	-	PUNCT
fumecheng-7346	302	37	elastic	elastic	ADJ
fumecheng-7346	302	38	vibration	vibration	NOUN
fumecheng-7346	302	39	-	-	PUNCT
fumecheng-7346	302	40	based	base	VERB
fumecheng-7346	302	41	energy	energy	NOUN
fumecheng-7346	302	42	harvesting	harvesting	NOUN
fumecheng-7346	302	43	system	system	NOUN
fumecheng-7346	302	44	,	,	PUNCT
fumecheng-7346	302	45	journal	journal	NOUN
fumecheng-7346	302	46	of	of	ADP
fumecheng-7346	302	47	sound	sound	NOUN
fumecheng-7346	302	48	and	and	CCONJ
fumecheng-7346	302	49	vibration	vibration	NOUN
fumecheng-7346	302	50	,	,	PUNCT
fumecheng-7346	302	51	425	425	NUM
fumecheng-7346	302	52	,	,	PUNCT
fumecheng-7346	302	53	pp	pp	ADJ
fumecheng-7346	302	54	.	.	PUNCT
fumecheng-7346	303	1	149	149	NUM
fumecheng-7346	303	2	-	-	SYM
fumecheng-7346	303	3	169	169	NUM
fumecheng-7346	303	4	40	40	NUM
fumecheng-7346	303	5	.	.	PUNCT
fumecheng-7346	304	1	sedighi	sedighi	PROPN
fumecheng-7346	304	2	,	,	PUNCT
fumecheng-7346	304	3	h.m	h.m	PROPN
fumecheng-7346	304	4	.	.	PROPN
fumecheng-7346	304	5	,	,	PUNCT
fumecheng-7346	304	6	2014	2014	NUM
fumecheng-7346	304	7	,	,	PUNCT
fumecheng-7346	304	8	size	size	NOUN
fumecheng-7346	304	9	-	-	PUNCT
fumecheng-7346	304	10	dependent	dependent	ADJ
fumecheng-7346	304	11	dynamic	dynamic	ADJ
fumecheng-7346	304	12	pull	pull	NOUN
fumecheng-7346	304	13	-	-	PUNCT
fumecheng-7346	304	14	in	in	ADP
fumecheng-7346	304	15	instability	instability	NOUN
fumecheng-7346	304	16	of	of	ADP
fumecheng-7346	304	17	vibrating	vibrate	VERB
fumecheng-7346	304	18	electrically	electrically	ADV
fumecheng-7346	304	19	actuated	actuate	VERB
fumecheng-7346	304	20	microbeams	microbeam	NOUN
fumecheng-7346	304	21	based	base	VERB
fumecheng-7346	304	22	on	on	ADP
fumecheng-7346	304	23	the	the	DET
fumecheng-7346	304	24	strain	strain	NOUN
fumecheng-7346	304	25	gradient	gradient	NOUN
fumecheng-7346	304	26	elasticity	elasticity	NOUN
fumecheng-7346	304	27	theory	theory	NOUN
fumecheng-7346	304	28	,	,	PUNCT
fumecheng-7346	304	29	acta	acta	PROPN
fumecheng-7346	304	30	astronautica	astronautica	PROPN
fumecheng-7346	304	31	,	,	PUNCT
fumecheng-7346	304	32	95	95	NUM
fumecheng-7346	304	33	,	,	PUNCT
fumecheng-7346	304	34	pp	pp	ADJ
fumecheng-7346	304	35	.	.	PUNCT
fumecheng-7346	304	36	111	111	NUM
fumecheng-7346	304	37	-	-	SYM
fumecheng-7346	304	38	123	123	NUM
fumecheng-7346	304	39	.	.	PUNCT
fumecheng-7346	305	1	612	612	NUM
fumecheng-7346	305	2	n.	n.	PROPN
fumecheng-7346	305	3	anjum	anjum	PROPN
fumecheng-7346	305	4	,	,	PUNCT
fumecheng-7346	305	5	j.-h	j.-h	PROPN
fumecheng-7346	305	6	.	.	PUNCT
fumecheng-7346	306	1	he	he	PRON
fumecheng-7346	306	2	,	,	PUNCT
fumecheng-7346	306	3	q.	q.	PROPN
fumecheng-7346	306	4	t.	t.	PROPN
fumecheng-7346	306	5	ain	ain	PROPN
fumecheng-7346	306	6	,	,	PUNCT
fumecheng-7346	306	7	d.	d.	PROPN
fumecheng-7346	306	8	tian	tian	PROPN
fumecheng-7346	306	9	41	41	NUM
fumecheng-7346	306	10	.	.	PUNCT
fumecheng-7346	307	1	he	he	PRON
fumecheng-7346	307	2	,	,	PUNCT
fumecheng-7346	307	3	j.h	j.h	PROPN
fumecheng-7346	307	4	.	.	PROPN
fumecheng-7346	307	5	,	,	PUNCT
fumecheng-7346	307	6	skrzypacz	skrzypacz	NOUN
fumecheng-7346	307	7	,	,	PUNCT
fumecheng-7346	307	8	p.	p.	PROPN
fumecheng-7346	307	9	,	,	PUNCT
fumecheng-7346	307	10	wei	wei	PROPN
fumecheng-7346	307	11	,	,	PUNCT
fumecheng-7346	307	12	d.m	d.m	PROPN
fumecheng-7346	307	13	.	.	PROPN
fumecheng-7346	307	14	,	,	PUNCT
fumecheng-7346	307	15	2019	2019	NUM
fumecheng-7346	307	16	,	,	PUNCT
fumecheng-7346	307	17	dynamic	dynamic	ADJ
fumecheng-7346	307	18	pull	pull	NOUN
fumecheng-7346	307	19	-	-	PUNCT
fumecheng-7346	307	20	in	in	NOUN
fumecheng-7346	307	21	for	for	ADP
fumecheng-7346	307	22	micro	micro	ADJ
fumecheng-7346	307	23	-	-	ADJ
fumecheng-7346	307	24	electromechanical	electromechanical	ADJ
fumecheng-7346	307	25	device	device	NOUN
fumecheng-7346	307	26	with	with	ADP
fumecheng-7346	307	27	a	a	DET
fumecheng-7346	307	28	current	current	ADJ
fumecheng-7346	307	29	-	-	PUNCT
fumecheng-7346	307	30	carrying	carry	VERB
fumecheng-7346	307	31	conductor	conductor	NOUN
fumecheng-7346	307	32	,	,	PUNCT
fumecheng-7346	307	33	journal	journal	NOUN
fumecheng-7346	307	34	of	of	ADP
fumecheng-7346	307	35	low	low	ADJ
fumecheng-7346	307	36	frequency	frequency	NOUN
fumecheng-7346	307	37	noise	noise	NOUN
fumecheng-7346	307	38	vibration	vibration	NOUN
fumecheng-7346	307	39	and	and	CCONJ
fumecheng-7346	307	40	active	active	ADJ
fumecheng-7346	307	41	control	control	NOUN
fumecheng-7346	307	42	,	,	PUNCT
fumecheng-7346	307	43	doi	doi	NOUN
fumecheng-7346	307	44	:	:	PUNCT
fumecheng-7346	307	45	10.1177/1461348419847298	10.1177/1461348419847298	NUM
fumecheng-7346	307	46	.	.	X
fumecheng-7346	307	47	42	42	NUM
fumecheng-7346	307	48	.	.	PUNCT
fumecheng-7346	308	1	anjum	anjum	PROPN
fumecheng-7346	308	2	,	,	PUNCT
fumecheng-7346	308	3	n.	n.	PROPN
fumecheng-7346	308	4	,	,	PUNCT
fumecheng-7346	308	5	he	he	PRON
fumecheng-7346	308	6	,	,	PUNCT
fumecheng-7346	308	7	j.h	j.h	PROPN
fumecheng-7346	308	8	.	.	PROPN
fumecheng-7346	308	9	,	,	PUNCT
fumecheng-7346	308	10	2020	2020	NUM
fumecheng-7346	308	11	,	,	PUNCT
fumecheng-7346	308	12	nonlinear	nonlinear	ADJ
fumecheng-7346	308	13	dynamic	dynamic	ADJ
fumecheng-7346	308	14	analysis	analysis	NOUN
fumecheng-7346	308	15	of	of	ADP
fumecheng-7346	308	16	vibratory	vibratory	ADJ
fumecheng-7346	308	17	behavior	behavior	NOUN
fumecheng-7346	308	18	of	of	ADP
fumecheng-7346	308	19	a	a	DET
fumecheng-7346	308	20	graphene	graphene	NOUN
fumecheng-7346	308	21	nano	nano	NOUN
fumecheng-7346	308	22	/	/	SYM
fumecheng-7346	308	23	microelectromechanical	microelectromechanical	ADJ
fumecheng-7346	308	24	system	system	NOUN
fumecheng-7346	308	25	,	,	PUNCT
fumecheng-7346	308	26	mathematical	mathematical	ADJ
fumecheng-7346	308	27	methods	method	NOUN
fumecheng-7346	308	28	in	in	ADP
fumecheng-7346	308	29	the	the	DET
fumecheng-7346	308	30	applied	apply	VERB
fumecheng-7346	308	31	sciences	science	NOUN
fumecheng-7346	308	32	,	,	PUNCT
fumecheng-7346	308	33	doi	doi	NOUN
fumecheng-7346	308	34	:	:	PUNCT
fumecheng-7346	308	35	10.1002	10.1002	NUM
fumecheng-7346	308	36	/	/	SYM
fumecheng-7346	308	37	mma.6699	mma.6699	NOUN
fumecheng-7346	308	38	.	.	NOUN
fumecheng-7346	308	39	43	43	NUM
fumecheng-7346	308	40	.	.	PUNCT
fumecheng-7346	309	1	tian	tian	PROPN
fumecheng-7346	309	2	,	,	PUNCT
fumecheng-7346	309	3	d.	d.	PROPN
fumecheng-7346	309	4	,	,	PUNCT
fumecheng-7346	309	5	ain	ain	PROPN
fumecheng-7346	309	6	,	,	PUNCT
fumecheng-7346	309	7	q.t	q.t	PROPN
fumecheng-7346	309	8	.	.	PROPN
fumecheng-7346	309	9	,	,	PUNCT
fumecheng-7346	309	10	anjum	anjum	PROPN
fumecheng-7346	309	11	,	,	PUNCT
fumecheng-7346	309	12	n.	n.	NOUN
fumecheng-7346	309	13	,	,	PUNCT
fumecheng-7346	309	14	2020	2020	NUM
fumecheng-7346	309	15	,	,	PUNCT
fumecheng-7346	309	16	fractal	fractal	ADJ
fumecheng-7346	309	17	n	n	CCONJ
fumecheng-7346	309	18	/	/	SYM
fumecheng-7346	309	19	mems	mem	NOUN
fumecheng-7346	309	20	:	:	PUNCT
fumecheng-7346	309	21	from	from	ADP
fumecheng-7346	309	22	pull	pull	NOUN
fumecheng-7346	309	23	-	-	PUNCT
fumecheng-7346	309	24	in	in	ADP
fumecheng-7346	309	25	instability	instability	NOUN
fumecheng-7346	309	26	to	to	PART
fumecheng-7346	309	27	pull	pull	VERB
fumecheng-7346	309	28	-	-	PUNCT
fumecheng-7346	309	29	in	in	ADP
fumecheng-7346	309	30	stability	stability	NOUN
fumecheng-7346	309	31	,	,	PUNCT
fumecheng-7346	309	32	fractals	fractal	NOUN
fumecheng-7346	309	33	,	,	PUNCT
fumecheng-7346	309	34	2020	2020	NUM
fumecheng-7346	309	35	,	,	PUNCT
fumecheng-7346	309	36	doi	doi	NOUN
fumecheng-7346	309	37	:	:	PUNCT
fumecheng-7346	309	38	10.1142	10.1142	NUM
fumecheng-7346	309	39	/	/	SYM
fumecheng-7346	309	40	s0218348x21500304	s0218348x21500304	PROPN
fumecheng-7346	309	41	44	44	NUM
fumecheng-7346	309	42	.	.	PUNCT
fumecheng-7346	310	1	anjum	anjum	PROPN
fumecheng-7346	310	2	.	.	PUNCT
fumecheng-7346	311	1	n.	n.	PROPN
fumecheng-7346	311	2	,	,	PUNCT
fumecheng-7346	311	3	he	he	PRON
fumecheng-7346	311	4	,	,	PUNCT
fumecheng-7346	311	5	j.-h	j.-h	PROPN
fumecheng-7346	311	6	.	.	PUNCT
fumecheng-7346	311	7	,	,	PUNCT
fumecheng-7346	311	8	2020	2020	NUM
fumecheng-7346	311	9	,	,	PUNCT
fumecheng-7346	311	10	analysis	analysis	NOUN
fumecheng-7346	311	11	of	of	ADP
fumecheng-7346	311	12	nonlinear	nonlinear	ADJ
fumecheng-7346	311	13	vibration	vibration	NOUN
fumecheng-7346	311	14	of	of	ADP
fumecheng-7346	311	15	nano	nano	NOUN
fumecheng-7346	311	16	/	/	SYM
fumecheng-7346	311	17	microelectromechanical	microelectromechanical	ADJ
fumecheng-7346	311	18	system	system	NOUN
fumecheng-7346	311	19	switch	switch	NOUN
fumecheng-7346	311	20	induced	induce	VERB
fumecheng-7346	311	21	by	by	ADP
fumecheng-7346	311	22	electromagnetic	electromagnetic	ADJ
fumecheng-7346	311	23	force	force	NOUN
fumecheng-7346	311	24	under	under	ADP
fumecheng-7346	311	25	zero	zero	NUM
fumecheng-7346	311	26	initial	initial	ADJ
fumecheng-7346	311	27	conditions	condition	NOUN
fumecheng-7346	311	28	,	,	PUNCT
fumecheng-7346	311	29	alexandria	alexandria	PROPN
fumecheng-7346	311	30	engineering	engineering	PROPN
fumecheng-7346	311	31	journal	journal	PROPN
fumecheng-7346	311	32	,	,	PUNCT
fumecheng-7346	311	33	59	59	NUM
fumecheng-7346	311	34	,	,	PUNCT
fumecheng-7346	311	35	pp	pp	ADJ
fumecheng-7346	311	36	.	.	PUNCT
fumecheng-7346	312	1	4343–4352	4343–4352	NUM
fumecheng-7346	312	2	.	.	PUNCT
fumecheng-7346	313	1	45	45	NUM
fumecheng-7346	313	2	.	.	X
fumecheng-7346	313	3	tian	tian	PROPN
fumecheng-7346	313	4	,	,	PUNCT
fumecheng-7346	313	5	d.	d.	PROPN
fumecheng-7346	313	6	,	,	PUNCT
fumecheng-7346	313	7	he	he	PRON
fumecheng-7346	313	8	,	,	PUNCT
fumecheng-7346	313	9	c.h	c.h	PROPN
fumecheng-7346	313	10	.	.	PROPN
fumecheng-7346	313	11	,	,	PUNCT
fumecheng-7346	313	12	2021	2021	NUM
fumecheng-7346	313	13	,	,	PUNCT
fumecheng-7346	313	14	a	a	DET
fumecheng-7346	313	15	fractal	fractal	ADJ
fumecheng-7346	313	16	micro	micro	ADJ
fumecheng-7346	313	17	-	-	ADJ
fumecheng-7346	313	18	electromechanical	electromechanical	ADJ
fumecheng-7346	313	19	system	system	NOUN
fumecheng-7346	313	20	and	and	CCONJ
fumecheng-7346	313	21	its	its	PRON
fumecheng-7346	313	22	pull	pull	NOUN
fumecheng-7346	313	23	-	-	PUNCT
fumecheng-7346	313	24	in	in	ADP
fumecheng-7346	313	25	stability	stability	NOUN
fumecheng-7346	313	26	,	,	PUNCT
fumecheng-7346	313	27	journal	journal	NOUN
fumecheng-7346	313	28	of	of	ADP
fumecheng-7346	313	29	low	low	ADJ
fumecheng-7346	313	30	frequency	frequency	NOUN
fumecheng-7346	313	31	noise	noise	NOUN
fumecheng-7346	313	32	vibration	vibration	NOUN
fumecheng-7346	313	33	and	and	CCONJ
fumecheng-7346	313	34	active	active	ADJ
fumecheng-7346	313	35	control	control	NOUN
fumecheng-7346	313	36	,	,	PUNCT
fumecheng-7346	313	37	doi	doi	NOUN
fumecheng-7346	313	38	:	:	PUNCT
fumecheng-7346	313	39	10.1177/1461348420984041	10.1177/1461348420984041	NUM
fumecheng-7346	313	40	46	46	NUM
fumecheng-7346	313	41	.	.	PUNCT
fumecheng-7346	314	1	ouakad	ouakad	ADJ
fumecheng-7346	314	2	,	,	PUNCT
fumecheng-7346	314	3	h.m	h.m	PROPN
fumecheng-7346	314	4	.	.	PROPN
fumecheng-7346	314	5	,	,	PUNCT
fumecheng-7346	314	6	sedighi	sedighi	PROPN
fumecheng-7346	314	7	,	,	PUNCT
fumecheng-7346	314	8	h.m	h.m	PROPN
fumecheng-7346	314	9	.	.	PROPN
fumecheng-7346	314	10	,	,	PUNCT
fumecheng-7346	314	11	2016	2016	NUM
fumecheng-7346	314	12	,	,	PUNCT
fumecheng-7346	314	13	rippling	ripple	VERB
fumecheng-7346	314	14	effect	effect	NOUN
fumecheng-7346	314	15	on	on	ADP
fumecheng-7346	314	16	the	the	DET
fumecheng-7346	314	17	structural	structural	ADJ
fumecheng-7346	314	18	response	response	NOUN
fumecheng-7346	314	19	of	of	ADP
fumecheng-7346	314	20	electrostatically	electrostatically	ADV
fumecheng-7346	314	21	actuated	actuate	VERB
fumecheng-7346	314	22	single	single	ADJ
fumecheng-7346	314	23	-	-	PUNCT
fumecheng-7346	314	24	walled	wall	VERB
fumecheng-7346	314	25	carbon	carbon	NOUN
fumecheng-7346	314	26	nanotube	nanotube	NOUN
fumecheng-7346	314	27	based	base	VERB
fumecheng-7346	314	28	nems	nem	NOUN
fumecheng-7346	314	29	actuators	actuator	NOUN
fumecheng-7346	314	30	,	,	PUNCT
fumecheng-7346	314	31	international	international	ADJ
fumecheng-7346	314	32	journal	journal	NOUN
fumecheng-7346	314	33	of	of	ADP
fumecheng-7346	314	34	non	non	ADJ
fumecheng-7346	314	35	-	-	ADJ
fumecheng-7346	314	36	linear	linear	ADJ
fumecheng-7346	314	37	mechanics	mechanic	NOUN
fumecheng-7346	314	38	,	,	PUNCT
fumecheng-7346	314	39	87	87	NUM
fumecheng-7346	314	40	,	,	PUNCT
fumecheng-7346	314	41	pp	pp	ADJ
fumecheng-7346	314	42	.	.	PUNCT
fumecheng-7346	315	1	97	97	NUM
fumecheng-7346	315	2	-	-	SYM
fumecheng-7346	315	3	108	108	NUM
fumecheng-7346	315	4	.	.	PUNCT