id	sid	tid	token	lemma	pos
ijassa-327	1	1	microsoft	microsoft	PROPN
ijassa-327	1	2	word	word	NOUN
ijassa-327	1	3	17	17	NUM
ijassa-327	2	1	y.	y.	PROPN
ijassa-327	2	2	g.	g.	PROPN
ijassa-327	2	3	jiang	jiang	PROPN
ijassa-327	2	4	--	--	PUNCT
ijassa-327	2	5	the	the	DET
ijassa-327	2	6	application	application	NOUN
ijassa-327	2	7	of	of	ADP
ijassa-327	2	8	norm	norm	ADJ
ijassa-327	2	9	functional	functional	ADJ
ijassa-327	2	10	multi	multi	ADJ
ijassa-327	2	11	-	-	ADJ
ijassa-327	2	12	dimensional	dimensional	ADJ
ijassa-327	2	13	space	space	NOUN
ijassa-327	2	14	theory	theory	NOUN
ijassa-327	2	15	in	in	ADP
ijassa-327	2	16	dynamic	dynamic	ADJ
ijassa-327	2	17	design.doc	design.doc	PROPN
ijassa-327	2	18	advances	advance	NOUN
ijassa-327	2	19	in	in	ADP
ijassa-327	2	20	systems	system	NOUN
ijassa-327	2	21	science	science	NOUN
ijassa-327	2	22	and	and	CCONJ
ijassa-327	2	23	applications	application	NOUN
ijassa-327	2	24	(	(	PUNCT
ijassa-327	2	25	2011	2011	NUM
ijassa-327	2	26	)	)	PUNCT
ijassa-327	2	27	,	,	PUNCT
ijassa-327	2	28	vol.11	vol.11	PROPN
ijassa-327	2	29	,	,	PUNCT
ijassa-327	2	30	no.3	no.3	NOUN
ijassa-327	2	31	-	-	PUNCT
ijassa-327	2	32	4	4	NUM
ijassa-327	2	33	331	331	NUM
ijassa-327	2	34	-	-	SYM
ijassa-327	2	35	338	338	NUM
ijassa-327	2	36	issn	issn	PROPN
ijassa-327	2	37	1078	1078	NUM
ijassa-327	2	38	-	-	PUNCT
ijassa-327	2	39	6236	6236	NUM
ijassa-327	2	40	international	international	PROPN
ijassa-327	2	41	institute	institute	NOUN
ijassa-327	2	42	for	for	ADP
ijassa-327	2	43	general	general	ADJ
ijassa-327	2	44	systems	system	NOUN
ijassa-327	2	45	studies	study	NOUN
ijassa-327	2	46	,	,	PUNCT
ijassa-327	2	47	inc	inc	PROPN
ijassa-327	2	48	the	the	DET
ijassa-327	2	49	application	application	NOUN
ijassa-327	2	50	of	of	ADP
ijassa-327	2	51	norm	norm	ADJ
ijassa-327	2	52	functional	functional	ADJ
ijassa-327	2	53	multi	multi	ADJ
ijassa-327	2	54	-	-	ADJ
ijassa-327	2	55	dimensional	dimensional	ADJ
ijassa-327	2	56	space	space	NOUN
ijassa-327	2	57	theory	theory	NOUN
ijassa-327	2	58	in	in	ADP
ijassa-327	2	59	dynamic	dynamic	ADJ
ijassa-327	2	60	design	design	NOUN
ijassa-327	2	61	y.	y.	PROPN
ijassa-327	2	62	g.	g.	PROPN
ijassa-327	2	63	jiang	jiang	PROPN
ijassa-327	2	64	machine	machine	NOUN
ijassa-327	2	65	-	-	PUNCT
ijassa-327	2	66	electrical	electrical	ADJ
ijassa-327	2	67	engineering	engineering	NOUN
ijassa-327	2	68	department	department	PROPN
ijassa-327	2	69	,	,	PUNCT
ijassa-327	2	70	chengdu	chengdu	PROPN
ijassa-327	2	71	electromechanical	electromechanical	PROPN
ijassa-327	2	72	college	college	PROPN
ijassa-327	2	73	,	,	PUNCT
ijassa-327	2	74	chengdu	chengdu	PROPN
ijassa-327	2	75	,	,	PUNCT
ijassa-327	2	76	610031	610031	NUM
ijassa-327	2	77	,	,	PUNCT
ijassa-327	2	78	china	china	PROPN
ijassa-327	2	79	abstract	abstract	VERB
ijassa-327	2	80	the	the	DET
ijassa-327	2	81	dynamic	dynamic	ADJ
ijassa-327	2	82	design	design	NOUN
ijassa-327	2	83	for	for	ADP
ijassa-327	2	84	space	space	NOUN
ijassa-327	2	85	over	over	ADP
ijassa-327	2	86	three	three	NUM
ijassa-327	2	87	-	-	PUNCT
ijassa-327	2	88	dimension	dimension	NOUN
ijassa-327	2	89	is	be	AUX
ijassa-327	2	90	a	a	DET
ijassa-327	2	91	tough	tough	ADJ
ijassa-327	2	92	problem	problem	NOUN
ijassa-327	2	93	in	in	ADP
ijassa-327	2	94	mechanical	mechanical	ADJ
ijassa-327	2	95	design	design	NOUN
ijassa-327	2	96	,	,	PUNCT
ijassa-327	2	97	because	because	SCONJ
ijassa-327	2	98	there	there	PRON
ijassa-327	2	99	are	be	VERB
ijassa-327	2	100	no	no	DET
ijassa-327	2	101	proper	proper	ADJ
ijassa-327	2	102	cognition	cognition	NOUN
ijassa-327	2	103	and	and	CCONJ
ijassa-327	2	104	analysis	analysis	NOUN
ijassa-327	2	105	methods	method	NOUN
ijassa-327	2	106	for	for	ADP
ijassa-327	2	107	multi	multi	ADJ
ijassa-327	2	108	-	-	ADJ
ijassa-327	2	109	dimensional	dimensional	ADJ
ijassa-327	2	110	space	space	NOUN
ijassa-327	2	111	.	.	PUNCT
ijassa-327	3	1	so	so	ADV
ijassa-327	3	2	,	,	PUNCT
ijassa-327	3	3	more	more	ADV
ijassa-327	3	4	abstract	abstract	ADJ
ijassa-327	3	5	and	and	CCONJ
ijassa-327	3	6	comprehensive	comprehensive	ADJ
ijassa-327	3	7	methods	method	NOUN
ijassa-327	3	8	are	be	AUX
ijassa-327	3	9	in	in	ADP
ijassa-327	3	10	need	need	NOUN
ijassa-327	3	11	.	.	PUNCT
ijassa-327	4	1	normed	normed	PROPN
ijassa-327	4	2	function	function	PROPN
ijassa-327	4	3	space	space	NOUN
ijassa-327	4	4	theory	theory	NOUN
ijassa-327	4	5	is	be	AUX
ijassa-327	4	6	a	a	DET
ijassa-327	4	7	fully	fully	ADV
ijassa-327	4	8	-	-	PUNCT
ijassa-327	4	9	fledged	fledge	VERB
ijassa-327	4	10	mathematics	mathematic	NOUN
ijassa-327	4	11	theory	theory	NOUN
ijassa-327	4	12	for	for	ADP
ijassa-327	4	13	multi	multi	ADJ
ijassa-327	4	14	-	-	ADJ
ijassa-327	4	15	dimensional	dimensional	ADJ
ijassa-327	4	16	space	space	NOUN
ijassa-327	4	17	,	,	PUNCT
ijassa-327	4	18	which	which	PRON
ijassa-327	4	19	is	be	AUX
ijassa-327	4	20	a	a	DET
ijassa-327	4	21	powerful	powerful	ADJ
ijassa-327	4	22	aid	aid	NOUN
ijassa-327	4	23	in	in	ADP
ijassa-327	4	24	analysis	analysis	NOUN
ijassa-327	4	25	and	and	CCONJ
ijassa-327	4	26	representation	representation	NOUN
ijassa-327	4	27	.	.	PUNCT
ijassa-327	5	1	by	by	ADP
ijassa-327	5	2	using	use	VERB
ijassa-327	5	3	arbitrary	arbitrary	ADJ
ijassa-327	5	4	function	function	NOUN
ijassa-327	5	5	,	,	PUNCT
ijassa-327	5	6	dynamic	dynamic	ADJ
ijassa-327	5	7	design	design	NOUN
ijassa-327	5	8	problem	problem	NOUN
ijassa-327	5	9	can	can	AUX
ijassa-327	5	10	be	be	AUX
ijassa-327	5	11	solved	solve	VERB
ijassa-327	5	12	,	,	PUNCT
ijassa-327	5	13	such	such	ADJ
ijassa-327	5	14	as	as	ADP
ijassa-327	5	15	the	the	DET
ijassa-327	5	16	description	description	NOUN
ijassa-327	5	17	of	of	ADP
ijassa-327	5	18	multi	multi	ADJ
ijassa-327	5	19	-	-	ADJ
ijassa-327	5	20	variable	variable	ADJ
ijassa-327	5	21	system	system	NOUN
ijassa-327	5	22	,	,	PUNCT
ijassa-327	5	23	relation	relation	NOUN
ijassa-327	5	24	modeling	modeling	NOUN
ijassa-327	5	25	and	and	CCONJ
ijassa-327	5	26	optimization	optimization	NOUN
ijassa-327	5	27	.	.	PUNCT
ijassa-327	6	1	variable	variable	ADJ
ijassa-327	6	2	systems	system	NOUN
ijassa-327	6	3	with	with	ADP
ijassa-327	6	4	totally	totally	ADV
ijassa-327	6	5	different	different	ADJ
ijassa-327	6	6	physical	physical	ADJ
ijassa-327	6	7	meanings	meaning	NOUN
ijassa-327	6	8	may	may	AUX
ijassa-327	6	9	have	have	VERB
ijassa-327	6	10	an	an	DET
ijassa-327	6	11	identical	identical	ADJ
ijassa-327	6	12	norm	norm	NOUN
ijassa-327	6	13	function	function	NOUN
ijassa-327	6	14	structure	structure	NOUN
ijassa-327	6	15	,	,	PUNCT
ijassa-327	6	16	which	which	PRON
ijassa-327	6	17	makes	make	VERB
ijassa-327	6	18	the	the	DET
ijassa-327	6	19	abstraction	abstraction	NOUN
ijassa-327	6	20	and	and	CCONJ
ijassa-327	6	21	analysis	analysis	NOUN
ijassa-327	6	22	of	of	ADP
ijassa-327	6	23	complex	complex	ADJ
ijassa-327	6	24	problem	problem	NOUN
ijassa-327	6	25	easier	easy	ADJ
ijassa-327	6	26	.	.	PUNCT
ijassa-327	7	1	the	the	DET
ijassa-327	7	2	design	design	NOUN
ijassa-327	7	3	is	be	AUX
ijassa-327	7	4	the	the	DET
ijassa-327	7	5	modeling	modeling	NOUN
ijassa-327	7	6	based	base	VERB
ijassa-327	7	7	on	on	ADP
ijassa-327	7	8	physical	physical	ADJ
ijassa-327	7	9	essence	essence	NOUN
ijassa-327	7	10	and	and	CCONJ
ijassa-327	7	11	the	the	DET
ijassa-327	7	12	analysis	analysis	NOUN
ijassa-327	7	13	and	and	CCONJ
ijassa-327	7	14	calculation	calculation	NOUN
ijassa-327	7	15	of	of	ADP
ijassa-327	7	16	model	model	NOUN
ijassa-327	7	17	,	,	PUNCT
ijassa-327	7	18	instead	instead	ADV
ijassa-327	7	19	of	of	ADP
ijassa-327	7	20	traditional	traditional	ADJ
ijassa-327	7	21	geometry	geometry	NOUN
ijassa-327	7	22	analysis	analysis	NOUN
ijassa-327	7	23	.	.	PUNCT
ijassa-327	8	1	the	the	DET
ijassa-327	8	2	method	method	NOUN
ijassa-327	8	3	is	be	AUX
ijassa-327	8	4	not	not	PART
ijassa-327	8	5	analogy	analogy	NOUN
ijassa-327	8	6	but	but	CCONJ
ijassa-327	8	7	precise	precise	ADJ
ijassa-327	8	8	calculation	calculation	NOUN
ijassa-327	8	9	,	,	PUNCT
ijassa-327	8	10	which	which	PRON
ijassa-327	8	11	can	can	AUX
ijassa-327	8	12	produce	produce	VERB
ijassa-327	8	13	an	an	DET
ijassa-327	8	14	optimum	optimum	ADJ
ijassa-327	8	15	solution	solution	NOUN
ijassa-327	8	16	in	in	ADP
ijassa-327	8	17	norm	norm	NOUN
ijassa-327	8	18	function	function	NOUN
ijassa-327	8	19	.	.	PUNCT
ijassa-327	9	1	centrifugal	centrifugal	ADJ
ijassa-327	9	2	governing	governing	NOUN
ijassa-327	9	3	system	system	NOUN
ijassa-327	9	4	is	be	AUX
ijassa-327	9	5	a	a	DET
ijassa-327	9	6	typical	typical	ADJ
ijassa-327	9	7	mechanical	mechanical	ADJ
ijassa-327	9	8	power	power	NOUN
ijassa-327	9	9	system	system	NOUN
ijassa-327	9	10	.	.	PUNCT
ijassa-327	10	1	according	accord	VERB
ijassa-327	10	2	to	to	ADP
ijassa-327	10	3	dynamic	dynamic	ADJ
ijassa-327	10	4	requirement	requirement	NOUN
ijassa-327	10	5	,	,	PUNCT
ijassa-327	10	6	the	the	DET
ijassa-327	10	7	energy	energy	NOUN
ijassa-327	10	8	arbitrary	arbitrary	ADJ
ijassa-327	10	9	function	function	NOUN
ijassa-327	10	10	is	be	AUX
ijassa-327	10	11	set	set	VERB
ijassa-327	10	12	up	up	ADP
ijassa-327	10	13	and	and	CCONJ
ijassa-327	10	14	solved	solve	VERB
ijassa-327	10	15	.	.	PUNCT
ijassa-327	11	1	that	that	PRON
ijassa-327	11	2	completes	complete	VERB
ijassa-327	11	3	the	the	DET
ijassa-327	11	4	mechanical	mechanical	ADJ
ijassa-327	11	5	structure	structure	NOUN
ijassa-327	11	6	design	design	NOUN
ijassa-327	11	7	.	.	PUNCT
ijassa-327	12	1	the	the	DET
ijassa-327	12	2	example	example	NOUN
ijassa-327	12	3	shows	show	VERB
ijassa-327	12	4	,	,	PUNCT
ijassa-327	12	5	the	the	DET
ijassa-327	12	6	arbitrary	arbitrary	ADJ
ijassa-327	12	7	function	function	NOUN
ijassa-327	12	8	design	design	NOUN
ijassa-327	12	9	is	be	AUX
ijassa-327	12	10	workable	workable	ADJ
ijassa-327	12	11	and	and	CCONJ
ijassa-327	12	12	digitized	digitize	VERB
ijassa-327	12	13	.	.	PUNCT
ijassa-327	13	1	keywords	keyword	VERB
ijassa-327	13	2	multi	multi	ADJ
ijassa-327	13	3	-	-	ADJ
ijassa-327	13	4	dimensional	dimensional	ADJ
ijassa-327	13	5	space	space	NOUN
ijassa-327	13	6	route	route	NOUN
ijassa-327	13	7	planning	plan	VERB
ijassa-327	13	8	dynamic	dynamic	ADJ
ijassa-327	13	9	design	design	NOUN
ijassa-327	13	10	norm	norm	NOUN
ijassa-327	13	11	function	function	NOUN
ijassa-327	13	12	space	space	NOUN
ijassa-327	13	13	1.introduction	1.introduction	NUM
ijassa-327	13	14	along	along	ADP
ijassa-327	13	15	with	with	ADP
ijassa-327	13	16	the	the	DET
ijassa-327	13	17	development	development	NOUN
ijassa-327	13	18	of	of	ADP
ijassa-327	13	19	science	science	NOUN
ijassa-327	13	20	and	and	CCONJ
ijassa-327	13	21	technology	technology	NOUN
ijassa-327	13	22	,	,	PUNCT
ijassa-327	13	23	the	the	DET
ijassa-327	13	24	major	major	ADJ
ijassa-327	13	25	task	task	NOUN
ijassa-327	13	26	in	in	ADP
ijassa-327	13	27	mechanical	mechanical	ADJ
ijassa-327	13	28	design	design	NOUN
ijassa-327	13	29	is	be	AUX
ijassa-327	13	30	the	the	DET
ijassa-327	13	31	dynamic	dynamic	ADJ
ijassa-327	13	32	design	design	NOUN
ijassa-327	13	33	of	of	ADP
ijassa-327	13	34	multi	multi	ADJ
ijassa-327	13	35	-	-	ADJ
ijassa-327	13	36	variable	variable	ADJ
ijassa-327	13	37	system	system	NOUN
ijassa-327	13	38	.	.	PUNCT
ijassa-327	14	1	the	the	DET
ijassa-327	14	2	dimensions	dimension	NOUN
ijassa-327	14	3	of	of	ADP
ijassa-327	14	4	multi	multi	ADJ
ijassa-327	14	5	-	-	ADJ
ijassa-327	14	6	variable	variable	ADJ
ijassa-327	14	7	dynamic	dynamic	ADJ
ijassa-327	14	8	space	space	NOUN
ijassa-327	14	9	are	be	AUX
ijassa-327	14	10	over	over	ADP
ijassa-327	14	11	three	three	NUM
ijassa-327	14	12	,	,	PUNCT
ijassa-327	14	13	at	at	ADP
ijassa-327	14	14	least	least	ADJ
ijassa-327	14	15	four	four	NUM
ijassa-327	14	16	including	include	VERB
ijassa-327	14	17	time	time	NOUN
ijassa-327	14	18	,	,	PUNCT
ijassa-327	14	19	without	without	ADP
ijassa-327	14	20	visual	visual	ADJ
ijassa-327	14	21	geometry	geometry	NOUN
ijassa-327	14	22	.	.	PUNCT
ijassa-327	15	1	the	the	DET
ijassa-327	15	2	major	major	ADJ
ijassa-327	15	3	task	task	NOUN
ijassa-327	15	4	of	of	ADP
ijassa-327	15	5	dynamic	dynamic	ADJ
ijassa-327	15	6	design	design	NOUN
ijassa-327	15	7	is	be	AUX
ijassa-327	15	8	the	the	DET
ijassa-327	15	9	representation	representation	NOUN
ijassa-327	15	10	and	and	CCONJ
ijassa-327	15	11	analysis	analysis	NOUN
ijassa-327	15	12	of	of	ADP
ijassa-327	15	13	ultra	ultra	ADJ
ijassa-327	15	14	three	three	NUM
ijassa-327	15	15	-	-	PUNCT
ijassa-327	15	16	dimension	dimension	NOUN
ijassa-327	15	17	space	space	NOUN
ijassa-327	15	18	.	.	PUNCT
ijassa-327	16	1	nowadays	nowadays	ADV
ijassa-327	16	2	,	,	PUNCT
ijassa-327	16	3	the	the	DET
ijassa-327	16	4	mechanical	mechanical	ADJ
ijassa-327	16	5	design	design	NOUN
ijassa-327	16	6	is	be	AUX
ijassa-327	16	7	basically	basically	ADV
ijassa-327	16	8	in	in	ADP
ijassa-327	16	9	analogy	analogy	NOUN
ijassa-327	16	10	and	and	CCONJ
ijassa-327	16	11	static	static	ADJ
ijassa-327	16	12	design	design	NOUN
ijassa-327	16	13	stage	stage	NOUN
ijassa-327	16	14	[	[	X
ijassa-327	16	15	1	1	NUM
ijassa-327	16	16	-	-	SYM
ijassa-327	16	17	2	2	NUM
ijassa-327	16	18	]	]	PUNCT
ijassa-327	16	19	.	.	PUNCT
ijassa-327	17	1	it	it	PRON
ijassa-327	17	2	’s	’	VERB
ijassa-327	17	3	difficult	difficult	ADJ
ijassa-327	17	4	to	to	PART
ijassa-327	17	5	represent	represent	VERB
ijassa-327	17	6	and	and	CCONJ
ijassa-327	17	7	analyze	analyze	VERB
ijassa-327	17	8	dynamic	dynamic	ADJ
ijassa-327	17	9	space	space	NOUN
ijassa-327	17	10	without	without	ADP
ijassa-327	17	11	scientific	scientific	ADJ
ijassa-327	17	12	method	method	NOUN
ijassa-327	17	13	to	to	PART
ijassa-327	17	14	express	express	VERB
ijassa-327	17	15	multi	multi	ADJ
ijassa-327	17	16	-	-	ADJ
ijassa-327	17	17	dimension	dimension	ADJ
ijassa-327	17	18	space	space	NOUN
ijassa-327	17	19	.	.	PUNCT
ijassa-327	18	1	in	in	ADP
ijassa-327	18	2	mechanical	mechanical	ADJ
ijassa-327	18	3	structure	structure	NOUN
ijassa-327	18	4	design	design	NOUN
ijassa-327	18	5	,	,	PUNCT
ijassa-327	18	6	the	the	DET
ijassa-327	18	7	following	follow	VERB
ijassa-327	18	8	problems	problem	NOUN
ijassa-327	18	9	can	can	AUX
ijassa-327	18	10	not	not	PART
ijassa-327	18	11	be	be	AUX
ijassa-327	18	12	solved	solve	VERB
ijassa-327	18	13	at	at	ADP
ijassa-327	18	14	the	the	DET
ijassa-327	18	15	same	same	ADJ
ijassa-327	18	16	time	time	NOUN
ijassa-327	18	17	:	:	PUNCT
ijassa-327	18	18	the	the	DET
ijassa-327	18	19	representation	representation	NOUN
ijassa-327	18	20	of	of	ADP
ijassa-327	18	21	motion	motion	NOUN
ijassa-327	18	22	position	position	NOUN
ijassa-327	18	23	and	and	CCONJ
ijassa-327	18	24	performance	performance	NOUN
ijassa-327	18	25	in	in	ADP
ijassa-327	18	26	mechanical	mechanical	ADJ
ijassa-327	18	27	drive	drive	NOUN
ijassa-327	18	28	system	system	NOUN
ijassa-327	18	29	,	,	PUNCT
ijassa-327	18	30	the	the	DET
ijassa-327	18	31	elastodynamic	elastodynamic	ADJ
ijassa-327	18	32	characteristic	characteristic	NOUN
ijassa-327	18	33	of	of	ADP
ijassa-327	18	34	mechanism	mechanism	NOUN
ijassa-327	18	35	motion	motion	NOUN
ijassa-327	18	36	,	,	PUNCT
ijassa-327	18	37	the	the	DET
ijassa-327	18	38	time	time	NOUN
ijassa-327	18	39	-	-	PUNCT
ijassa-327	18	40	sharing	share	VERB
ijassa-327	18	41	occupation	occupation	NOUN
ijassa-327	18	42	of	of	ADP
ijassa-327	18	43	space	space	NOUN
ijassa-327	18	44	,	,	PUNCT
ijassa-327	18	45	the	the	DET
ijassa-327	18	46	spatial	spatial	ADJ
ijassa-327	18	47	encounter	encounter	NOUN
ijassa-327	18	48	and	and	CCONJ
ijassa-327	18	49	capture	capture	NOUN
ijassa-327	18	50	of	of	ADP
ijassa-327	18	51	moving	move	VERB
ijassa-327	18	52	object	object	NOUN
ijassa-327	18	53	,	,	PUNCT
ijassa-327	18	54	the	the	DET
ijassa-327	18	55	influence	influence	NOUN
ijassa-327	18	56	of	of	ADP
ijassa-327	18	57	different	different	ADJ
ijassa-327	18	58	motion	motion	NOUN
ijassa-327	18	59	parameter	parameter	NOUN
ijassa-327	18	60	on	on	ADP
ijassa-327	18	61	mechanical	mechanical	ADJ
ijassa-327	18	62	and	and	CCONJ
ijassa-327	18	63	motion	motion	NOUN
ijassa-327	18	64	characteristics	characteristic	NOUN
ijassa-327	18	65	,	,	PUNCT
ijassa-327	18	66	the	the	DET
ijassa-327	18	67	structure	structure	NOUN
ijassa-327	18	68	of	of	ADP
ijassa-327	18	69	high	high	ADJ
ijassa-327	18	70	-	-	PUNCT
ijassa-327	18	71	speed	speed	NOUN
ijassa-327	18	72	mechanism	mechanism	NOUN
ijassa-327	18	73	and	and	CCONJ
ijassa-327	18	74	dynamic	dynamic	ADJ
ijassa-327	18	75	strength	strength	NOUN
ijassa-327	18	76	and	and	CCONJ
ijassa-327	18	77	so	so	ADV
ijassa-327	18	78	on	on	ADV
ijassa-327	18	79	.	.	PUNCT
ijassa-327	19	1	these	these	PRON
ijassa-327	19	2	involve	involve	VERB
ijassa-327	19	3	position	position	NOUN
ijassa-327	19	4	,	,	PUNCT
ijassa-327	19	5	tangent	tangent	ADJ
ijassa-327	19	6	line	line	NOUN
ijassa-327	19	7	,	,	PUNCT
ijassa-327	19	8	normal	normal	ADJ
ijassa-327	19	9	line	line	NOUN
ijassa-327	19	10	,	,	PUNCT
ijassa-327	19	11	time	time	NOUN
ijassa-327	19	12	,	,	PUNCT
ijassa-327	19	13	velocity	velocity	NOUN
ijassa-327	19	14	,	,	PUNCT
ijassa-327	19	15	accelerated	accelerate	VERB
ijassa-327	19	16	velocity	velocity	NOUN
ijassa-327	19	17	,	,	PUNCT
ijassa-327	19	18	which	which	PRON
ijassa-327	19	19	can	can	AUX
ijassa-327	19	20	be	be	AUX
ijassa-327	19	21	concluded	conclude	VERB
ijassa-327	19	22	to	to	PART
ijassa-327	19	23	study	study	VERB
ijassa-327	19	24	function	function	NOUN
ijassa-327	19	25	and	and	CCONJ
ijassa-327	19	26	its	its	PRON
ijassa-327	19	27	derivative	derivative	NOUN
ijassa-327	19	28	.	.	PUNCT
ijassa-327	20	1	norm	norm	NOUN
ijassa-327	20	2	function	function	NOUN
ijassa-327	20	3	space	space	NOUN
ijassa-327	20	4	theory	theory	NOUN
ijassa-327	20	5	is	be	AUX
ijassa-327	20	6	a	a	DET
ijassa-327	20	7	mathematic	mathematic	ADJ
ijassa-327	20	8	theory	theory	NOUN
ijassa-327	20	9	to	to	PART
ijassa-327	20	10	describe	describe	VERB
ijassa-327	20	11	and	and	CCONJ
ijassa-327	20	12	analyze	analyze	VERB
ijassa-327	20	13	multi	multi	ADJ
ijassa-327	20	14	-	-	ADJ
ijassa-327	20	15	dimension	dimension	ADJ
ijassa-327	20	16	space	space	NOUN
ijassa-327	20	17	,	,	PUNCT
ijassa-327	20	18	which	which	PRON
ijassa-327	20	19	establish	establish	VERB
ijassa-327	20	20	the	the	DET
ijassa-327	20	21	relation	relation	NOUN
ijassa-327	20	22	between	between	ADP
ijassa-327	20	23	three	three	NUM
ijassa-327	20	24	-	-	PUNCT
ijassa-327	20	25	dimension	dimension	NOUN
ijassa-327	20	26	and	and	CCONJ
ijassa-327	20	27	infinite	infinite	ADJ
ijassa-327	20	28	space	space	NOUN
ijassa-327	20	29	.	.	PUNCT
ijassa-327	21	1	the	the	DET
ijassa-327	21	2	normal	normal	ADJ
ijassa-327	21	3	three	three	NUM
ijassa-327	21	4	-	-	PUNCT
ijassa-327	21	5	dimension	dimension	NOUN
ijassa-327	21	6	space	space	NOUN
ijassa-327	21	7	is	be	AUX
ijassa-327	21	8	a	a	DET
ijassa-327	21	9	fully	fully	ADV
ijassa-327	21	10	-	-	PUNCT
ijassa-327	21	11	fledged	fledge	VERB
ijassa-327	21	12	mathematic	mathematic	ADJ
ijassa-327	21	13	method	method	NOUN
ijassa-327	21	14	,	,	PUNCT
ijassa-327	21	15	with	with	ADP
ijassa-327	21	16	direct	direct	ADJ
ijassa-327	21	17	geometry	geometry	NOUN
ijassa-327	21	18	view	view	NOUN
ijassa-327	21	19	,	,	PUNCT
ijassa-327	21	20	which	which	PRON
ijassa-327	21	21	helps	help	VERB
ijassa-327	21	22	the	the	DET
ijassa-327	21	23	comprehension	comprehension	NOUN
ijassa-327	21	24	of	of	ADP
ijassa-327	21	25	the	the	DET
ijassa-327	21	26	concepts	concept	NOUN
ijassa-327	21	27	in	in	ADP
ijassa-327	21	28	high	high	ADJ
ijassa-327	21	29	-	-	PUNCT
ijassa-327	21	30	dimension	dimension	NOUN
ijassa-327	21	31	,	,	PUNCT
ijassa-327	21	32	even	even	ADV
ijassa-327	21	33	infinite	infinite	ADJ
ijassa-327	21	34	dimension	dimension	NOUN
ijassa-327	21	35	space	space	NOUN
ijassa-327	21	36	[	[	X
ijassa-327	21	37	3	3	NUM
ijassa-327	21	38	-	-	SYM
ijassa-327	21	39	4	4	NUM
ijassa-327	21	40	]	]	PUNCT
ijassa-327	21	41	.	.	PUNCT
ijassa-327	22	1	dynamic	dynamic	ADJ
ijassa-327	22	2	design	design	NOUN
ijassa-327	22	3	problem	problem	NOUN
ijassa-327	22	4	,	,	PUNCT
ijassa-327	22	5	such	such	ADJ
ijassa-327	22	6	as	as	ADP
ijassa-327	22	7	the	the	DET
ijassa-327	22	8	description	description	NOUN
ijassa-327	22	9	,	,	PUNCT
ijassa-327	22	10	the	the	DET
ijassa-327	22	11	representation	representation	NOUN
ijassa-327	22	12	and	and	CCONJ
ijassa-327	22	13	the	the	DET
ijassa-327	22	14	overall	overall	ADJ
ijassa-327	22	15	optimization	optimization	NOUN
ijassa-327	22	16	of	of	ADP
ijassa-327	22	17	multi	multi	ADJ
ijassa-327	22	18	-	-	ADJ
ijassa-327	22	19	dimension	dimension	ADJ
ijassa-327	22	20	space	space	NOUN
ijassa-327	22	21	in	in	ADP
ijassa-327	22	22	mechanical	mechanical	ADJ
ijassa-327	22	23	design	design	NOUN
ijassa-327	22	24	,	,	PUNCT
ijassa-327	22	25	can	can	AUX
ijassa-327	22	26	be	be	AUX
ijassa-327	22	27	analyzed	analyze	VERB
ijassa-327	22	28	with	with	ADP
ijassa-327	22	29	norm	norm	NOUN
ijassa-327	22	30	function	function	NOUN
ijassa-327	22	31	space	space	NOUN
ijassa-327	22	32	theory	theory	NOUN
ijassa-327	22	33	.	.	PUNCT
ijassa-327	23	1	so	so	ADV
ijassa-327	23	2	,	,	PUNCT
ijassa-327	23	3	mechanical	mechanical	ADJ
ijassa-327	23	4	design	design	NOUN
ijassa-327	23	5	can	can	AUX
ijassa-327	23	6	be	be	AUX
ijassa-327	23	7	transferred	transfer	VERB
ijassa-327	23	8	from	from	ADP
ijassa-327	23	9	geometry	geometry	NOUN
ijassa-327	23	10	analogy	analogy	NOUN
ijassa-327	23	11	to	to	ADP
ijassa-327	23	12	precise	precise	ADJ
ijassa-327	23	13	calculation	calculation	NOUN
ijassa-327	23	14	,	,	PUNCT
ijassa-327	23	15	from	from	ADP
ijassa-327	23	16	three	three	NUM
ijassa-327	23	17	-	-	PUNCT
ijassa-327	23	18	dimension	dimension	NOUN
ijassa-327	23	19	to	to	ADP
ijassa-327	23	20	multi	multi	NOUN
ijassa-327	23	21	-	-	NOUN
ijassa-327	23	22	dimension	dimension	NOUN
ijassa-327	23	23	.	.	PUNCT
ijassa-327	24	1	the	the	DET
ijassa-327	24	2	content	content	NOUN
ijassa-327	24	3	is	be	AUX
ijassa-327	24	4	expanded	expand	VERB
ijassa-327	24	5	by	by	ADP
ijassa-327	24	6	the	the	DET
ijassa-327	24	7	project	project	NOUN
ijassa-327	24	8	is	be	AUX
ijassa-327	24	9	funded	fund	VERB
ijassa-327	24	10	by	by	ADP
ijassa-327	24	11	the	the	DET
ijassa-327	24	12	sichuan	sichuan	PROPN
ijassa-327	24	13	educational	educational	PROPN
ijassa-327	24	14	commission	commission	PROPN
ijassa-327	24	15	in	in	ADP
ijassa-327	24	16	the	the	DET
ijassa-327	24	17	area	area	NOUN
ijassa-327	24	18	of	of	ADP
ijassa-327	24	19	nature	nature	NOUN
ijassa-327	24	20	science	science	NOUN
ijassa-327	24	21	(	(	PUNCT
ijassa-327	24	22	contract	contract	NOUN
ijassa-327	24	23	no	no	INTJ
ijassa-327	24	24	.	.	PROPN
ijassa-327	24	25	2004a163	2004a163	NUM
ijassa-327	24	26	)	)	PUNCT
ijassa-327	24	27	.	.	PUNCT
ijassa-327	25	1	332	332	NUM
ijassa-327	25	2	jiang	jiang	PROPN
ijassa-327	25	3	:	:	PUNCT
ijassa-327	25	4	the	the	DET
ijassa-327	25	5	application	application	NOUN
ijassa-327	25	6	of	of	ADP
ijassa-327	25	7	norm	norm	ADJ
ijassa-327	25	8	functional	functional	ADJ
ijassa-327	25	9	multi	multi	ADJ
ijassa-327	25	10	-	-	ADJ
ijassa-327	25	11	dimensional	dimensional	ADJ
ijassa-327	25	12	space	space	NOUN
ijassa-327	25	13	theory	theory	NOUN
ijassa-327	25	14	in	in	ADP
ijassa-327	25	15	dynamic	dynamic	ADJ
ijassa-327	25	16	design	design	NOUN
ijassa-327	25	17	changing	change	VERB
ijassa-327	25	18	the	the	DET
ijassa-327	25	19	method	method	NOUN
ijassa-327	25	20	of	of	ADP
ijassa-327	25	21	design	design	NOUN
ijassa-327	25	22	,	,	PUNCT
ijassa-327	25	23	thus	thus	ADV
ijassa-327	25	24	complete	complete	VERB
ijassa-327	25	25	the	the	DET
ijassa-327	25	26	fullness	fullness	NOUN
ijassa-327	25	27	and	and	CCONJ
ijassa-327	25	28	scope	scope	NOUN
ijassa-327	25	29	in	in	ADP
ijassa-327	25	30	mechanical	mechanical	ADJ
ijassa-327	25	31	design	design	NOUN
ijassa-327	25	32	.	.	PUNCT
ijassa-327	26	1	2.the	2.the	DET
ijassa-327	26	2	arbitrary	arbitrary	ADJ
ijassa-327	26	3	function	function	NOUN
ijassa-327	26	4	problem	problem	NOUN
ijassa-327	26	5	of	of	ADP
ijassa-327	26	6	n	n	CCONJ
ijassa-327	26	7	-	-	PUNCT
ijassa-327	26	8	dimension	dimension	NOUN
ijassa-327	26	9	design	design	NOUN
ijassa-327	26	10	space	space	NOUN
ijassa-327	26	11	2.1	2.1	NUM
ijassa-327	26	12	the	the	DET
ijassa-327	26	13	expansion	expansion	NOUN
ijassa-327	26	14	and	and	CCONJ
ijassa-327	26	15	composition	composition	NOUN
ijassa-327	26	16	of	of	ADP
ijassa-327	26	17	design	design	NOUN
ijassa-327	26	18	space	space	NOUN
ijassa-327	26	19	mechanical	mechanical	ADJ
ijassa-327	26	20	design	design	NOUN
ijassa-327	26	21	has	have	AUX
ijassa-327	26	22	developed	develop	VERB
ijassa-327	26	23	from	from	ADP
ijassa-327	26	24	static	static	NOUN
ijassa-327	26	25	to	to	ADP
ijassa-327	26	26	dynamic	dynamic	ADJ
ijassa-327	26	27	design	design	NOUN
ijassa-327	26	28	,	,	PUNCT
ijassa-327	26	29	from	from	ADP
ijassa-327	26	30	three	three	NUM
ijassa-327	26	31	-	-	PUNCT
ijassa-327	26	32	dimension	dimension	NOUN
ijassa-327	26	33	to	to	ADP
ijassa-327	26	34	multidimension	multidimension	NOUN
ijassa-327	26	35	,	,	PUNCT
ijassa-327	26	36	from	from	ADP
ijassa-327	26	37	mechanism	mechanism	NOUN
ijassa-327	26	38	to	to	ADP
ijassa-327	26	39	inter	inter	NOUN
ijassa-327	26	40	-	-	NOUN
ijassa-327	26	41	discipline	discipline	NOUN
ijassa-327	26	42	of	of	ADP
ijassa-327	26	43	mechanism	mechanism	NOUN
ijassa-327	26	44	,	,	PUNCT
ijassa-327	26	45	electricity	electricity	NOUN
ijassa-327	26	46	,	,	PUNCT
ijassa-327	26	47	magnetism	magnetism	NOUN
ijassa-327	26	48	,	,	PUNCT
ijassa-327	26	49	liquid	liquid	NOUN
ijassa-327	26	50	and	and	CCONJ
ijassa-327	26	51	light	light	NOUN
ijassa-327	26	52	,	,	PUNCT
ijassa-327	26	53	from	from	ADP
ijassa-327	26	54	geometry	geometry	NOUN
ijassa-327	26	55	analogy	analogy	NOUN
ijassa-327	26	56	to	to	ADP
ijassa-327	26	57	precise	precise	ADJ
ijassa-327	26	58	calculation	calculation	NOUN
ijassa-327	26	59	,	,	PUNCT
ijassa-327	26	60	from	from	ADP
ijassa-327	26	61	sequential	sequential	ADJ
ijassa-327	26	62	to	to	ADP
ijassa-327	26	63	parallel	parallel	ADJ
ijassa-327	26	64	design	design	NOUN
ijassa-327	26	65	.	.	PUNCT
ijassa-327	27	1	the	the	DET
ijassa-327	27	2	emphasis	emphasis	NOUN
ijassa-327	27	3	is	be	AUX
ijassa-327	27	4	transferred	transfer	VERB
ijassa-327	27	5	from	from	ADP
ijassa-327	27	6	structure	structure	NOUN
ijassa-327	27	7	design	design	NOUN
ijassa-327	27	8	to	to	ADP
ijassa-327	27	9	life	life	NOUN
ijassa-327	27	10	process	process	NOUN
ijassa-327	27	11	of	of	ADP
ijassa-327	27	12	product	product	NOUN
ijassa-327	27	13	.	.	PUNCT
ijassa-327	28	1	the	the	DET
ijassa-327	28	2	continual	continual	ADJ
ijassa-327	28	3	development	development	NOUN
ijassa-327	28	4	of	of	ADP
ijassa-327	28	5	mechanical	mechanical	ADJ
ijassa-327	28	6	design	design	NOUN
ijassa-327	28	7	will	will	AUX
ijassa-327	28	8	expand	expand	VERB
ijassa-327	28	9	dimension	dimension	NOUN
ijassa-327	28	10	and	and	CCONJ
ijassa-327	28	11	content	content	NOUN
ijassa-327	28	12	in	in	ADP
ijassa-327	28	13	design	design	NOUN
ijassa-327	28	14	space	space	NOUN
ijassa-327	28	15	further	far	ADV
ijassa-327	28	16	.	.	PUNCT
ijassa-327	29	1	the	the	DET
ijassa-327	29	2	structure	structure	NOUN
ijassa-327	29	3	parameter	parameter	NOUN
ijassa-327	29	4	and	and	CCONJ
ijassa-327	29	5	the	the	DET
ijassa-327	29	6	function	function	NOUN
ijassa-327	29	7	or	or	CCONJ
ijassa-327	29	8	differential	differential	ADJ
ijassa-327	29	9	equations	equation	NOUN
ijassa-327	29	10	set	set	VERB
ijassa-327	29	11	which	which	PRON
ijassa-327	29	12	expresses	express	VERB
ijassa-327	29	13	physical	physical	ADJ
ijassa-327	29	14	process	process	NOUN
ijassa-327	29	15	are	be	AUX
ijassa-327	29	16	foundation	foundation	NOUN
ijassa-327	29	17	to	to	PART
ijassa-327	29	18	form	form	VERB
ijassa-327	29	19	overall	overall	ADJ
ijassa-327	29	20	performance	performance	NOUN
ijassa-327	29	21	.	.	PUNCT
ijassa-327	30	1	the	the	DET
ijassa-327	30	2	multi	multi	ADJ
ijassa-327	30	3	-	-	ADJ
ijassa-327	30	4	dimension	dimension	ADJ
ijassa-327	30	5	space	space	NOUN
ijassa-327	30	6	of	of	ADP
ijassa-327	30	7	mechanical	mechanical	ADJ
ijassa-327	30	8	design	design	NOUN
ijassa-327	30	9	consists	consist	VERB
ijassa-327	30	10	of	of	ADP
ijassa-327	30	11	structure	structure	NOUN
ijassa-327	30	12	parameter	parameter	NOUN
ijassa-327	30	13	or	or	CCONJ
ijassa-327	30	14	function	function	VERB
ijassa-327	30	15	sequential	sequential	ADJ
ijassa-327	30	16	set	set	NOUN
ijassa-327	30	17	.	.	PUNCT
ijassa-327	31	1	normally	normally	ADV
ijassa-327	31	2	,	,	PUNCT
ijassa-327	31	3	the	the	DET
ijassa-327	31	4	spatial	spatial	ADJ
ijassa-327	31	5	variable	variable	NOUN
ijassa-327	31	6	is	be	AUX
ijassa-327	31	7	represented	represent	VERB
ijassa-327	31	8	by	by	ADP
ijassa-327	31	9	vector	vector	NOUN
ijassa-327	31	10	:	:	PUNCT
ijassa-327	31	11	[	[	PUNCT
ijassa-327	31	12	]	]	X
ijassa-327	31	13	tn21	tn21	PROPN
ijassa-327	31	14	x,,x	x,,x	NUM
ijassa-327	31	15	,	,	PUNCT
ijassa-327	31	16	x	x	X
ijassa-327	31	17	=	=	NOUN
ijassa-327	31	18	x	x	X
ijassa-327	31	19	the	the	DET
ijassa-327	31	20	sub	sub	NOUN
ijassa-327	31	21	-	-	NOUN
ijassa-327	31	22	spaces	space	NOUN
ijassa-327	31	23	are	be	AUX
ijassa-327	31	24	collections	collection	NOUN
ijassa-327	31	25	of	of	ADP
ijassa-327	31	26	parameters	parameter	NOUN
ijassa-327	31	27	with	with	ADP
ijassa-327	31	28	identical	identical	ADJ
ijassa-327	31	29	characteristics	characteristic	NOUN
ijassa-327	31	30	.	.	PUNCT
ijassa-327	32	1	the	the	DET
ijassa-327	32	2	design	design	NOUN
ijassa-327	32	3	space	space	NOUN
ijassa-327	32	4	can	can	AUX
ijassa-327	32	5	be	be	AUX
ijassa-327	32	6	divided	divide	VERB
ijassa-327	32	7	into	into	ADP
ijassa-327	32	8	sub	sub	NOUN
ijassa-327	32	9	-	-	NOUN
ijassa-327	32	10	space	space	NOUN
ijassa-327	32	11	according	accord	VERB
ijassa-327	32	12	to	to	ADP
ijassa-327	32	13	following	follow	VERB
ijassa-327	32	14	functions	function	NOUN
ijassa-327	32	15	:	:	PUNCT
ijassa-327	32	16	geometry	geometry	NOUN
ijassa-327	32	17	shape	shape	NOUN
ijassa-327	32	18	,	,	PUNCT
ijassa-327	32	19	shape	shape	NOUN
ijassa-327	32	20	restrict	restrict	NOUN
ijassa-327	32	21	,	,	PUNCT
ijassa-327	32	22	geometry	geometry	NOUN
ijassa-327	32	23	factor	factor	NOUN
ijassa-327	32	24	;	;	PUNCT
ijassa-327	32	25	requirements	requirement	NOUN
ijassa-327	32	26	on	on	ADP
ijassa-327	32	27	tolerance	tolerance	NOUN
ijassa-327	32	28	and	and	CCONJ
ijassa-327	32	29	surface	surface	NOUN
ijassa-327	32	30	technology	technology	NOUN
ijassa-327	32	31	;	;	PUNCT
ijassa-327	32	32	statics	statics	NOUN
ijassa-327	32	33	performance	performance	NOUN
ijassa-327	32	34	;	;	PUNCT
ijassa-327	32	35	motion	motion	NOUN
ijassa-327	32	36	performance	performance	NOUN
ijassa-327	32	37	;	;	PUNCT
ijassa-327	32	38	dynamics	dynamic	NOUN
ijassa-327	32	39	performance	performance	NOUN
ijassa-327	32	40	;	;	PUNCT
ijassa-327	32	41	process	process	NOUN
ijassa-327	32	42	performance	performance	NOUN
ijassa-327	32	43	;	;	PUNCT
ijassa-327	32	44	and	and	CCONJ
ijassa-327	32	45	other	other	ADJ
ijassa-327	32	46	performances	performance	NOUN
ijassa-327	32	47	concerned	concern	VERB
ijassa-327	32	48	with	with	ADP
ijassa-327	32	49	geometry	geometry	NOUN
ijassa-327	32	50	topology	topology	NOUN
ijassa-327	32	51	.	.	PUNCT
ijassa-327	33	1	all	all	DET
ijassa-327	33	2	these	these	DET
ijassa-327	33	3	performances	performance	NOUN
ijassa-327	33	4	are	be	AUX
ijassa-327	33	5	represented	represent	VERB
ijassa-327	33	6	with	with	ADP
ijassa-327	33	7	functions	function	NOUN
ijassa-327	33	8	and	and	CCONJ
ijassa-327	33	9	derivatives	derivative	NOUN
ijassa-327	33	10	,	,	PUNCT
ijassa-327	33	11	such	such	ADJ
ijassa-327	33	12	as	as	ADP
ijassa-327	33	13	the	the	DET
ijassa-327	33	14	design	design	NOUN
ijassa-327	33	15	of	of	ADP
ijassa-327	33	16	contour	contour	NOUN
ijassa-327	33	17	curve	curve	NOUN
ijassa-327	33	18	which	which	PRON
ijassa-327	33	19	need	need	VERB
ijassa-327	33	20	to	to	PART
ijassa-327	33	21	consider	consider	VERB
ijassa-327	33	22	its	its	PRON
ijassa-327	33	23	function	function	NOUN
ijassa-327	33	24	and	and	CCONJ
ijassa-327	33	25	derivative	derivative	NOUN
ijassa-327	33	26	,	,	PUNCT
ijassa-327	33	27	with	with	ADP
ijassa-327	33	28	nth	nth	PROPN
ijassa-327	33	29	continual	continual	ADJ
ijassa-327	33	30	derivatives	derivative	NOUN
ijassa-327	33	31	to	to	PART
ijassa-327	33	32	ensure	ensure	VERB
ijassa-327	33	33	smoothness	smoothness	ADJ
ijassa-327	33	34	of	of	ADP
ijassa-327	33	35	contour	contour	NOUN
ijassa-327	33	36	.	.	PUNCT
ijassa-327	34	1	the	the	DET
ijassa-327	34	2	mechanical	mechanical	ADJ
ijassa-327	34	3	motion	motion	NOUN
ijassa-327	34	4	design	design	NOUN
ijassa-327	34	5	hopes	hope	NOUN
ijassa-327	34	6	for	for	ADP
ijassa-327	34	7	motion	motion	NOUN
ijassa-327	34	8	equation	equation	NOUN
ijassa-327	34	9	with	with	ADP
ijassa-327	34	10	continual	continual	ADJ
ijassa-327	34	11	derivatives	derivative	NOUN
ijassa-327	34	12	over	over	ADP
ijassa-327	34	13	3	3	NUM
ijassa-327	34	14	to	to	PART
ijassa-327	34	15	ensure	ensure	VERB
ijassa-327	34	16	steady	steady	ADJ
ijassa-327	34	17	movement	movement	NOUN
ijassa-327	34	18	.	.	PUNCT
ijassa-327	35	1	2.1.2	2.1.2	NUM
ijassa-327	35	2	the	the	DET
ijassa-327	35	3	arbitrary	arbitrary	ADJ
ijassa-327	35	4	function	function	NOUN
ijassa-327	35	5	problem	problem	NOUN
ijassa-327	35	6	of	of	ADP
ijassa-327	35	7	design	design	NOUN
ijassa-327	35	8	space	space	NOUN
ijassa-327	35	9	arbitrary	arbitrary	ADJ
ijassa-327	35	10	function	function	NOUN
ijassa-327	35	11	is	be	AUX
ijassa-327	35	12	more	more	ADV
ijassa-327	35	13	abstract	abstract	ADJ
ijassa-327	35	14	and	and	CCONJ
ijassa-327	35	15	comprehensive	comprehensive	ADJ
ijassa-327	35	16	than	than	ADP
ijassa-327	35	17	higher	high	ADJ
ijassa-327	35	18	mathematics	mathematic	NOUN
ijassa-327	35	19	and	and	CCONJ
ijassa-327	35	20	linear	linear	PROPN
ijassa-327	35	21	algebra	algebra	NOUN
ijassa-327	35	22	.	.	PUNCT
ijassa-327	36	1	to	to	PART
ijassa-327	36	2	study	study	VERB
ijassa-327	36	3	space	space	NOUN
ijassa-327	36	4	composed	compose	VERB
ijassa-327	36	5	of	of	ADP
ijassa-327	36	6	different	different	ADJ
ijassa-327	36	7	functions	function	NOUN
ijassa-327	36	8	,	,	PUNCT
ijassa-327	36	9	the	the	DET
ijassa-327	36	10	property	property	NOUN
ijassa-327	36	11	and	and	CCONJ
ijassa-327	36	12	trend	trend	NOUN
ijassa-327	36	13	can	can	AUX
ijassa-327	36	14	be	be	AUX
ijassa-327	36	15	analyzed	analyze	VERB
ijassa-327	36	16	with	with	ADP
ijassa-327	36	17	abstract	abstract	ADJ
ijassa-327	36	18	operator	operator	NOUN
ijassa-327	36	19	.	.	PUNCT
ijassa-327	37	1	normally	normally	ADV
ijassa-327	37	2	,	,	PUNCT
ijassa-327	37	3	the	the	DET
ijassa-327	37	4	problems	problem	NOUN
ijassa-327	37	5	of	of	ADP
ijassa-327	37	6	arbitrary	arbitrary	ADJ
ijassa-327	37	7	function	function	NOUN
ijassa-327	37	8	are	be	AUX
ijassa-327	37	9	the	the	DET
ijassa-327	37	10	representation	representation	NOUN
ijassa-327	37	11	and	and	CCONJ
ijassa-327	37	12	analysis	analysis	NOUN
ijassa-327	37	13	of	of	ADP
ijassa-327	37	14	multi	multi	ADJ
ijassa-327	37	15	-	-	ADJ
ijassa-327	37	16	dimension	dimension	ADJ
ijassa-327	37	17	function	function	NOUN
ijassa-327	37	18	space	space	NOUN
ijassa-327	37	19	and	and	CCONJ
ijassa-327	37	20	to	to	PART
ijassa-327	37	21	choose	choose	VERB
ijassa-327	37	22	one	one	NUM
ijassa-327	37	23	set	set	VERB
ijassa-327	37	24	optimized	optimize	VERB
ijassa-327	37	25	function	function	NOUN
ijassa-327	37	26	which	which	PRON
ijassa-327	37	27	meets	meet	VERB
ijassa-327	37	28	the	the	DET
ijassa-327	37	29	requirement	requirement	NOUN
ijassa-327	37	30	from	from	ADP
ijassa-327	37	31	functions	function	NOUN
ijassa-327	37	32	group	group	NOUN
ijassa-327	37	33	.	.	PUNCT
ijassa-327	38	1	the	the	DET
ijassa-327	38	2	design	design	NOUN
ijassa-327	38	3	process	process	NOUN
ijassa-327	38	4	is	be	AUX
ijassa-327	38	5	to	to	PART
ijassa-327	38	6	choose	choose	VERB
ijassa-327	38	7	representation	representation	NOUN
ijassa-327	38	8	parameter	parameter	NOUN
ijassa-327	38	9	according	accord	VERB
ijassa-327	38	10	to	to	ADP
ijassa-327	38	11	preset	preset	ADJ
ijassa-327	38	12	dynamic	dynamic	ADJ
ijassa-327	38	13	characteristics	characteristic	NOUN
ijassa-327	38	14	from	from	ADP
ijassa-327	38	15	the	the	DET
ijassa-327	38	16	system	system	NOUN
ijassa-327	38	17	,	,	PUNCT
ijassa-327	38	18	to	to	PART
ijassa-327	38	19	derive	derive	VERB
ijassa-327	38	20	the	the	DET
ijassa-327	38	21	solution	solution	NOUN
ijassa-327	38	22	which	which	PRON
ijassa-327	38	23	meets	meet	VERB
ijassa-327	38	24	the	the	DET
ijassa-327	38	25	design	design	NOUN
ijassa-327	38	26	requirement	requirement	NOUN
ijassa-327	38	27	,	,	PUNCT
ijassa-327	38	28	to	to	PART
ijassa-327	38	29	choose	choose	VERB
ijassa-327	38	30	one	one	NUM
ijassa-327	38	31	set	set	VERB
ijassa-327	38	32	optimized	optimize	VERB
ijassa-327	38	33	function	function	NOUN
ijassa-327	38	34	,	,	PUNCT
ijassa-327	38	35	such	such	ADJ
ijassa-327	38	36	as	as	ADP
ijassa-327	38	37	contour	contour	NOUN
ijassa-327	38	38	,	,	PUNCT
ijassa-327	38	39	motion	motion	NOUN
ijassa-327	38	40	,	,	PUNCT
ijassa-327	38	41	strength	strength	NOUN
ijassa-327	38	42	function	function	NOUN
ijassa-327	38	43	and	and	CCONJ
ijassa-327	38	44	so	so	ADV
ijassa-327	38	45	on	on	ADV
ijassa-327	38	46	,	,	PUNCT
ijassa-327	38	47	in	in	ADP
ijassa-327	38	48	order	order	NOUN
ijassa-327	38	49	to	to	PART
ijassa-327	38	50	meet	meet	VERB
ijassa-327	38	51	the	the	DET
ijassa-327	38	52	standard	standard	NOUN
ijassa-327	38	53	.	.	PUNCT
ijassa-327	39	1	for	for	ADP
ijassa-327	39	2	example	example	NOUN
ijassa-327	39	3	,	,	PUNCT
ijassa-327	39	4	a	a	DET
ijassa-327	39	5	design	design	NOUN
ijassa-327	39	6	with	with	ADP
ijassa-327	39	7	,	,	PUNCT
ijassa-327	39	8	in	in	ADP
ijassa-327	39	9	certain	certain	ADJ
ijassa-327	39	10	range	range	NOUN
ijassa-327	39	11	,	,	PUNCT
ijassa-327	39	12	least	least	ADJ
ijassa-327	39	13	deflection	deflection	NOUN
ijassa-327	39	14	in	in	ADP
ijassa-327	39	15	vibrating	vibrate	VERB
ijassa-327	39	16	frequency	frequency	NOUN
ijassa-327	39	17	and	and	CCONJ
ijassa-327	39	18	lightest	light	ADJ
ijassa-327	39	19	mass	mass	NOUN
ijassa-327	39	20	is	be	AUX
ijassa-327	39	21	a	a	DET
ijassa-327	39	22	reverse	reverse	ADJ
ijassa-327	39	23	problem	problem	NOUN
ijassa-327	39	24	of	of	ADP
ijassa-327	39	25	dynamics	dynamic	NOUN
ijassa-327	39	26	.	.	PUNCT
ijassa-327	40	1	that	that	PRON
ijassa-327	40	2	is	be	AUX
ijassa-327	40	3	,	,	PUNCT
ijassa-327	40	4	to	to	ADP
ijassa-327	40	5	preset	preset	ADJ
ijassa-327	40	6	requirements	requirement	NOUN
ijassa-327	40	7	of	of	ADP
ijassa-327	40	8	the	the	DET
ijassa-327	40	9	system	system	NOUN
ijassa-327	40	10	on	on	ADP
ijassa-327	40	11	frequency	frequency	NOUN
ijassa-327	40	12	,	,	PUNCT
ijassa-327	40	13	stress	stress	NOUN
ijassa-327	40	14	,	,	PUNCT
ijassa-327	40	15	strain	strain	NOUN
ijassa-327	40	16	and	and	CCONJ
ijassa-327	40	17	displacement	displacement	NOUN
ijassa-327	40	18	,	,	PUNCT
ijassa-327	40	19	which	which	PRON
ijassa-327	40	20	determine	determine	VERB
ijassa-327	40	21	the	the	DET
ijassa-327	40	22	material	material	NOUN
ijassa-327	40	23	and	and	CCONJ
ijassa-327	40	24	geometry	geometry	NOUN
ijassa-327	40	25	characteristics	characteristic	NOUN
ijassa-327	40	26	in	in	ADP
ijassa-327	40	27	mechanical	mechanical	ADJ
ijassa-327	40	28	system	system	NOUN
ijassa-327	40	29	.	.	PUNCT
ijassa-327	41	1	the	the	DET
ijassa-327	41	2	problem	problem	NOUN
ijassa-327	41	3	is	be	AUX
ijassa-327	41	4	to	to	PART
ijassa-327	41	5	solve	solve	VERB
ijassa-327	41	6	the	the	DET
ijassa-327	41	7	extremum	extremum	NOUN
ijassa-327	41	8	of	of	ADP
ijassa-327	41	9	design	design	NOUN
ijassa-327	41	10	arbitrary	arbitrary	ADJ
ijassa-327	41	11	function	function	NOUN
ijassa-327	41	12	.	.	PUNCT
ijassa-327	42	1	so	so	ADV
ijassa-327	42	2	,	,	PUNCT
ijassa-327	42	3	dynamic	dynamic	ADJ
ijassa-327	42	4	design	design	NOUN
ijassa-327	42	5	problem	problem	NOUN
ijassa-327	42	6	is	be	AUX
ijassa-327	42	7	also	also	ADV
ijassa-327	42	8	arbitrary	arbitrary	ADJ
ijassa-327	42	9	function	function	NOUN
ijassa-327	42	10	problem	problem	NOUN
ijassa-327	42	11	:	:	PUNCT
ijassa-327	42	12	to	to	PART
ijassa-327	42	13	represent	represent	VERB
ijassa-327	42	14	and	and	CCONJ
ijassa-327	42	15	analyze	analyze	VERB
ijassa-327	42	16	multi	multi	ADJ
ijassa-327	42	17	-	-	ADJ
ijassa-327	42	18	dimension	dimension	ADJ
ijassa-327	42	19	space	space	NOUN
ijassa-327	42	20	in	in	ADP
ijassa-327	42	21	mechanical	mechanical	ADJ
ijassa-327	42	22	design	design	NOUN
ijassa-327	42	23	and	and	CCONJ
ijassa-327	42	24	to	to	PART
ijassa-327	42	25	solve	solve	VERB
ijassa-327	42	26	the	the	DET
ijassa-327	42	27	extremum	extremum	NOUN
ijassa-327	42	28	of	of	ADP
ijassa-327	42	29	arbitrary	arbitrary	ADJ
ijassa-327	42	30	function	function	NOUN
ijassa-327	42	31	.	.	PUNCT
ijassa-327	43	1	the	the	DET
ijassa-327	43	2	first	first	ADJ
ijassa-327	43	3	arbitrary	arbitrary	ADJ
ijassa-327	43	4	function	function	NOUN
ijassa-327	43	5	problem	problem	NOUN
ijassa-327	43	6	of	of	ADP
ijassa-327	43	7	dynamic	dynamic	ADJ
ijassa-327	43	8	design	design	NOUN
ijassa-327	43	9	is	be	AUX
ijassa-327	43	10	to	to	PART
ijassa-327	43	11	study	study	VERB
ijassa-327	43	12	n	n	CCONJ
ijassa-327	43	13	-	-	PUNCT
ijassa-327	43	14	dimensional	dimensional	ADJ
ijassa-327	43	15	variable	variable	NOUN
ijassa-327	43	16	and	and	CCONJ
ijassa-327	43	17	establish	establish	VERB
ijassa-327	43	18	a	a	DET
ijassa-327	43	19	space	space	NOUN
ijassa-327	43	20	which	which	PRON
ijassa-327	43	21	can	can	AUX
ijassa-327	43	22	express	express	VERB
ijassa-327	43	23	n	n	CCONJ
ijassa-327	43	24	-	-	PUNCT
ijassa-327	43	25	dimensional	dimensional	ADJ
ijassa-327	43	26	variable	variable	NOUN
ijassa-327	43	27	.	.	PUNCT
ijassa-327	44	1	the	the	DET
ijassa-327	44	2	second	second	ADJ
ijassa-327	44	3	arbitrary	arbitrary	ADJ
ijassa-327	44	4	function	function	NOUN
ijassa-327	44	5	problem	problem	NOUN
ijassa-327	44	6	of	of	ADP
ijassa-327	44	7	dynamic	dynamic	ADJ
ijassa-327	44	8	design	design	NOUN
ijassa-327	44	9	is	be	AUX
ijassa-327	44	10	to	to	PART
ijassa-327	44	11	study	study	VERB
ijassa-327	44	12	the	the	DET
ijassa-327	44	13	variable	variable	NOUN
ijassa-327	44	14	and	and	CCONJ
ijassa-327	44	15	its	its	PRON
ijassa-327	44	16	change	change	NOUN
ijassa-327	44	17	rate	rate	NOUN
ijassa-327	44	18	at	at	ADP
ijassa-327	44	19	the	the	DET
ijassa-327	44	20	same	same	ADJ
ijassa-327	44	21	time	time	NOUN
ijassa-327	44	22	.	.	PUNCT
ijassa-327	45	1	the	the	DET
ijassa-327	45	2	key	key	ADJ
ijassa-327	45	3	problem	problem	NOUN
ijassa-327	45	4	is	be	AUX
ijassa-327	45	5	to	to	PART
ijassa-327	45	6	establish	establish	VERB
ijassa-327	45	7	a	a	DET
ijassa-327	45	8	norm	norm	NOUN
ijassa-327	45	9	function	function	NOUN
ijassa-327	45	10	space	space	NOUN
ijassa-327	45	11	which	which	PRON
ijassa-327	45	12	can	can	AUX
ijassa-327	45	13	express	express	VERB
ijassa-327	45	14	the	the	DET
ijassa-327	45	15	function	function	NOUN
ijassa-327	45	16	and	and	CCONJ
ijassa-327	45	17	its	its	PRON
ijassa-327	45	18	n	n	NOUN
ijassa-327	45	19	th	th	X
ijassa-327	45	20	derivative	derivative	NOUN
ijassa-327	45	21	at	at	ADP
ijassa-327	45	22	the	the	DET
ijassa-327	45	23	same	same	ADJ
ijassa-327	45	24	time	time	NOUN
ijassa-327	45	25	.	.	PUNCT
ijassa-327	46	1	the	the	DET
ijassa-327	46	2	third	third	ADJ
ijassa-327	46	3	arbitrary	arbitrary	ADJ
ijassa-327	46	4	function	function	NOUN
ijassa-327	46	5	problem	problem	NOUN
ijassa-327	46	6	of	of	ADP
ijassa-327	46	7	dynamic	dynamic	ADJ
ijassa-327	46	8	design	design	NOUN
ijassa-327	46	9	is	be	AUX
ijassa-327	46	10	to	to	PART
ijassa-327	46	11	choose	choose	VERB
ijassa-327	46	12	optimized	optimize	VERB
ijassa-327	46	13	solution	solution	NOUN
ijassa-327	46	14	which	which	PRON
ijassa-327	46	15	meets	meet	VERB
ijassa-327	46	16	dynamic	dynamic	ADJ
ijassa-327	46	17	requirements	requirement	NOUN
ijassa-327	46	18	and	and	CCONJ
ijassa-327	46	19	proper	proper	ADJ
ijassa-327	46	20	operator	operator	NOUN
ijassa-327	46	21	to	to	PART
ijassa-327	46	22	solve	solve	VERB
ijassa-327	46	23	and	and	CCONJ
ijassa-327	46	24	design	design	VERB
ijassa-327	46	25	the	the	DET
ijassa-327	46	26	extremum	extremum	NOUN
ijassa-327	46	27	of	of	ADP
ijassa-327	46	28	arbitrary	arbitrary	ADJ
ijassa-327	46	29	function	function	NOUN
ijassa-327	46	30	.	.	PUNCT
ijassa-327	47	1	3.the	3.the	DET
ijassa-327	47	2	representation	representation	NOUN
ijassa-327	47	3	and	and	CCONJ
ijassa-327	47	4	simplification	simplification	NOUN
ijassa-327	47	5	of	of	ADP
ijassa-327	47	6	n	n	CCONJ
ijassa-327	47	7	-	-	PUNCT
ijassa-327	47	8	dimension	dimension	NOUN
ijassa-327	47	9	design	design	NOUN
ijassa-327	47	10	space	space	NOUN
ijassa-327	47	11	with	with	ADP
ijassa-327	47	12	arbitrary	arbitrary	ADJ
ijassa-327	47	13	function	function	NOUN
ijassa-327	47	14	3.1.1	3.1.1	NUM
ijassa-327	47	15	the	the	DET
ijassa-327	47	16	representation	representation	NOUN
ijassa-327	47	17	of	of	ADP
ijassa-327	47	18	design	design	NOUN
ijassa-327	47	19	space	space	NOUN
ijassa-327	47	20	advances	advance	NOUN
ijassa-327	47	21	in	in	ADP
ijassa-327	47	22	systems	system	NOUN
ijassa-327	47	23	science	science	NOUN
ijassa-327	47	24	and	and	CCONJ
ijassa-327	47	25	applications	application	NOUN
ijassa-327	47	26	(	(	PUNCT
ijassa-327	47	27	2011	2011	NUM
ijassa-327	47	28	)	)	PUNCT
ijassa-327	47	29	,	,	PUNCT
ijassa-327	47	30	vol.11	vol.11	PROPN
ijassa-327	47	31	,	,	PUNCT
ijassa-327	47	32	no.3	no.3	NOUN
ijassa-327	47	33	-	-	SYM
ijassa-327	47	34	4	4	NUM
ijassa-327	47	35	333	333	NUM
ijassa-327	47	36	traditional	traditional	ADJ
ijassa-327	47	37	mechanical	mechanical	ADJ
ijassa-327	47	38	design	design	NOUN
ijassa-327	47	39	space	space	NOUN
ijassa-327	47	40	is	be	AUX
ijassa-327	47	41	three	three	NUM
ijassa-327	47	42	-	-	PUNCT
ijassa-327	47	43	dimensional	dimensional	ADJ
ijassa-327	47	44	euclid	euclid	ADJ
ijassa-327	47	45	space	space	NOUN
ijassa-327	47	46	,	,	PUNCT
ijassa-327	47	47	which	which	PRON
ijassa-327	47	48	is	be	AUX
ijassa-327	47	49	represented	represent	VERB
ijassa-327	47	50	by	by	ADP
ijassa-327	47	51	distance	distance	NOUN
ijassa-327	47	52	and	and	CCONJ
ijassa-327	47	53	angle	angle	NOUN
ijassa-327	47	54	,	,	PUNCT
ijassa-327	47	55	and	and	CCONJ
ijassa-327	47	56	can	can	AUX
ijassa-327	47	57	be	be	AUX
ijassa-327	47	58	analyzed	analyze	VERB
ijassa-327	47	59	continuously	continuously	ADV
ijassa-327	47	60	and	and	CCONJ
ijassa-327	47	61	with	with	ADP
ijassa-327	47	62	extremes	extreme	NOUN
ijassa-327	47	63	.	.	PUNCT
ijassa-327	48	1	for	for	ADP
ijassa-327	48	2	multi	multi	ADJ
ijassa-327	48	3	-	-	ADJ
ijassa-327	48	4	dimension	dimension	ADJ
ijassa-327	48	5	,	,	PUNCT
ijassa-327	48	6	such	such	ADJ
ijassa-327	48	7	as	as	ADP
ijassa-327	48	8	linear	linear	PROPN
ijassa-327	48	9	space	space	NOUN
ijassa-327	48	10	,	,	PUNCT
ijassa-327	48	11	normally	normally	ADV
ijassa-327	48	12	there	there	PRON
ijassa-327	48	13	is	be	VERB
ijassa-327	48	14	no	no	DET
ijassa-327	48	15	need	need	NOUN
ijassa-327	48	16	to	to	PART
ijassa-327	48	17	represent	represent	VERB
ijassa-327	48	18	but	but	CCONJ
ijassa-327	48	19	only	only	ADV
ijassa-327	48	20	introduce	introduce	VERB
ijassa-327	48	21	norm	norm	NOUN
ijassa-327	48	22	into	into	ADP
ijassa-327	48	23	it	it	PRON
ijassa-327	48	24	,	,	PUNCT
ijassa-327	48	25	and	and	CCONJ
ijassa-327	48	26	make	make	VERB
ijassa-327	48	27	it	it	PRON
ijassa-327	48	28	a	a	DET
ijassa-327	48	29	normed	normed	ADJ
ijassa-327	48	30	space	space	NOUN
ijassa-327	48	31	.	.	PUNCT
ijassa-327	49	1	with	with	ADP
ijassa-327	49	2	norm	norm	NOUN
ijassa-327	49	3	,	,	PUNCT
ijassa-327	49	4	the	the	DET
ijassa-327	49	5	concepts	concept	NOUN
ijassa-327	49	6	of	of	ADP
ijassa-327	49	7	open	open	ADJ
ijassa-327	49	8	set	set	NOUN
ijassa-327	49	9	,	,	PUNCT
ijassa-327	49	10	closed	close	VERB
ijassa-327	49	11	set	set	NOUN
ijassa-327	49	12	,	,	PUNCT
ijassa-327	49	13	convergence	convergence	NOUN
ijassa-327	49	14	and	and	CCONJ
ijassa-327	49	15	continuation	continuation	NOUN
ijassa-327	49	16	can	can	AUX
ijassa-327	49	17	be	be	AUX
ijassa-327	49	18	introduced	introduce	VERB
ijassa-327	49	19	correspondingly	correspondingly	ADV
ijassa-327	49	20	.	.	PUNCT
ijassa-327	50	1	in	in	ADP
ijassa-327	50	2	order	order	NOUN
ijassa-327	50	3	to	to	PART
ijassa-327	50	4	solve	solve	VERB
ijassa-327	50	5	the	the	DET
ijassa-327	50	6	first	first	ADJ
ijassa-327	50	7	arbitrary	arbitrary	ADJ
ijassa-327	50	8	function	function	NOUN
ijassa-327	50	9	problem	problem	NOUN
ijassa-327	50	10	of	of	ADP
ijassa-327	50	11	dynamic	dynamic	ADJ
ijassa-327	50	12	design	design	NOUN
ijassa-327	50	13	,	,	PUNCT
ijassa-327	50	14	a	a	DET
ijassa-327	50	15	normed	normed	ADJ
ijassa-327	50	16	space	space	NOUN
ijassa-327	50	17	should	should	AUX
ijassa-327	50	18	be	be	AUX
ijassa-327	50	19	defined	define	VERB
ijassa-327	50	20	.	.	PUNCT
ijassa-327	51	1	definition	definition	NOUN
ijassa-327	51	2	:	:	PUNCT
ijassa-327	51	3	supposing	suppose	VERB
ijassa-327	51	4	x	x	SYM
ijassa-327	51	5	is	be	AUX
ijassa-327	51	6	the	the	DET
ijassa-327	51	7	vector	vector	NOUN
ijassa-327	51	8	space	space	NOUN
ijassa-327	51	9	in	in	ADP
ijassa-327	51	10	number	number	NOUN
ijassa-327	51	11	field	field	NOUN
ijassa-327	51	12	k	k	PROPN
ijassa-327	51	13	(	(	PUNCT
ijassa-327	51	14	real	real	ADJ
ijassa-327	51	15	number	number	NOUN
ijassa-327	51	16	field	field	NOUN
ijassa-327	51	17	r	r	NOUN
ijassa-327	51	18	or	or	CCONJ
ijassa-327	51	19	complex	complex	ADJ
ijassa-327	51	20	number	number	NOUN
ijassa-327	51	21	field	field	NOUN
ijassa-327	51	22	c	c	NOUN
ijassa-327	51	23	)	)	PUNCT
ijassa-327	51	24	,	,	PUNCT
ijassa-327	51	25	if	if	SCONJ
ijassa-327	51	26	for	for	ADP
ijassa-327	51	27	every	every	DET
ijassa-327	51	28	x∈x	x∈x	NOUN
ijassa-327	51	29	,	,	PUNCT
ijassa-327	51	30	appointed	appoint	VERB
ijassa-327	51	31	one	one	NUM
ijassa-327	51	32	real	real	ADJ
ijassa-327	51	33	number	number	NOUN
ijassa-327	51	34	║	║	NOUN
ijassa-327	51	35	x	x	X
ijassa-327	51	36	║	║	NOUN
ijassa-327	51	37	which	which	PRON
ijassa-327	51	38	called	call	VERB
ijassa-327	51	39	norm	norm	NOUN
ijassa-327	51	40	of	of	ADP
ijassa-327	51	41	x	x	X
ijassa-327	51	42	,	,	PUNCT
ijassa-327	51	43	it	it	PRON
ijassa-327	51	44	meets	meet	VERB
ijassa-327	51	45	following	follow	VERB
ijassa-327	51	46	norm	norm	NOUN
ijassa-327	51	47	axioms	axiom	NOUN
ijassa-327	51	48	.	.	PUNCT
ijassa-327	52	1	(	(	PUNCT
ijassa-327	52	2	1	1	X
ijassa-327	52	3	)	)	PUNCT
ijassa-327	52	4	homogeneity	homogeneity	NOUN
ijassa-327	52	5	：	：	PUNCT
ijassa-327	52	6	xx	xx	NUM
ijassa-327	52	7	αα	αα	NOUN
ijassa-327	52	8	=	=	SYM
ijassa-327	52	9	；	；	NOUN
ijassa-327	52	10	(	(	PUNCT
ijassa-327	52	11	2	2	NUM
ijassa-327	52	12	)	)	PUNCT
ijassa-327	52	13	triangle	triangle	NOUN
ijassa-327	52	14	inequality	inequality	NOUN
ijassa-327	52	15	：	：	PUNCT
ijassa-327	52	16	yxyx	yxyx	NOUN
ijassa-327	53	1	+	+	PROPN
ijassa-327	53	2	+	+	ADJ
ijassa-327	53	3	≤	≤	ADJ
ijassa-327	53	4	；	；	NOUN
ijassa-327	53	5	(	(	PUNCT
ijassa-327	53	6	3	3	X
ijassa-327	53	7	)	)	PUNCT
ijassa-327	53	8	positive	positive	ADJ
ijassa-327	53	9	definiteness	definiteness	NOUN
ijassa-327	53	10	：	：	PUNCT
ijassa-327	53	11	0≥x	0≥x	PUNCT
ijassa-327	53	12	00	00	PUNCT
ijassa-327	54	1	=	=	PRON
ijassa-327	54	2	⇔=	⇔=	ADV
ijassa-327	54	3	xx	xx	NUM
ijassa-327	54	4	as	as	ADP
ijassa-327	54	5	above	above	ADV
ijassa-327	54	6	,	,	PUNCT
ijassa-327	54	7	x	x	X
ijassa-327	54	8	，	，	PROPN
ijassa-327	54	9	xy∈	xy∈	PUNCT
ijassa-327	55	1	，	，	PROPN
ijassa-327	55	2	if	if	SCONJ
ijassa-327	55	3	k∈α	k∈α	ADJ
ijassa-327	55	4	,	,	PUNCT
ijassa-327	55	5	x	x	VERB
ijassa-327	55	6	is	be	AUX
ijassa-327	55	7	called	call	VERB
ijassa-327	55	8	a	a	DET
ijassa-327	55	9	nomed	nomed	ADJ
ijassa-327	55	10	vector	vector	NOUN
ijassa-327	55	11	space	space	NOUN
ijassa-327	55	12	in	in	ADP
ijassa-327	55	13	k	k	PROPN
ijassa-327	55	14	，	，	PUNCT
ijassa-327	55	15	normed	normed	ADJ
ijassa-327	55	16	space	space	NOUN
ijassa-327	55	17	for	for	ADP
ijassa-327	55	18	short	short	ADJ
ijassa-327	55	19	.	.	PUNCT
ijassa-327	56	1	when	when	SCONJ
ijassa-327	56	2	norm	norm	NOUN
ijassa-327	56	3	must	must	AUX
ijassa-327	56	4	be	be	AUX
ijassa-327	56	5	expressed	express	VERB
ijassa-327	56	6	definitely	definitely	ADV
ijassa-327	56	7	,	,	PUNCT
ijassa-327	56	8	it	it	PRON
ijassa-327	56	9	is	be	AUX
ijassa-327	56	10	marked	mark	VERB
ijassa-327	56	11	as	as	ADP
ijassa-327	56	12	(	(	PUNCT
ijassa-327	56	13	x，	x，	PROPN
ijassa-327	56	14	║	║	NOUN
ijassa-327	56	15	•	•	NUM
ijassa-327	56	16	║	║	NOUN
ijassa-327	56	17	）	）	NOUN
ijassa-327	56	18	.	.	PUNCT
ijassa-327	57	1	if	if	SCONJ
ijassa-327	57	2	k＝r	k＝r	NOUN
ijassa-327	57	3	(	(	PUNCT
ijassa-327	57	4	or	or	CCONJ
ijassa-327	57	5	c)，the	c)，the	DET
ijassa-327	57	6	normed	normed	ADJ
ijassa-327	57	7	space	space	NOUN
ijassa-327	57	8	in	in	ADP
ijassa-327	57	9	k	k	PROPN
ijassa-327	57	10	is	be	AUX
ijassa-327	57	11	real	real	ADJ
ijassa-327	57	12	(	(	PUNCT
ijassa-327	57	13	or	or	CCONJ
ijassa-327	57	14	complex	complex	ADJ
ijassa-327	57	15	)	)	PUNCT
ijassa-327	57	16	.	.	PUNCT
ijassa-327	58	1	the	the	DET
ijassa-327	58	2	way	way	NOUN
ijassa-327	58	3	to	to	PART
ijassa-327	58	4	define	define	VERB
ijassa-327	58	5	norm	norm	NOUN
ijassa-327	58	6	diversifies	diversifie	NOUN
ijassa-327	58	7	.	.	PUNCT
ijassa-327	59	1	norm	norm	NOUN
ijassa-327	59	2	can	can	AUX
ijassa-327	59	3	be	be	AUX
ijassa-327	59	4	defined	define	VERB
ijassa-327	59	5	according	accord	VERB
ijassa-327	59	6	to	to	ADP
ijassa-327	59	7	its	its	PRON
ijassa-327	59	8	physical	physical	ADJ
ijassa-327	59	9	meaning	meaning	NOUN
ijassa-327	59	10	.	.	PUNCT
ijassa-327	60	1	furthermore	furthermore	ADV
ijassa-327	60	2	,	,	PUNCT
ijassa-327	60	3	the	the	DET
ijassa-327	60	4	distance	distance	NOUN
ijassa-327	60	5	of	of	ADP
ijassa-327	60	6	three	three	NUM
ijassa-327	60	7	-	-	PUNCT
ijassa-327	60	8	dimensional	dimensional	ADJ
ijassa-327	60	9	space	space	NOUN
ijassa-327	60	10	,	,	PUNCT
ijassa-327	60	11	the	the	DET
ijassa-327	60	12	displacement	displacement	NOUN
ijassa-327	60	13	,	,	PUNCT
ijassa-327	60	14	velocity	velocity	NOUN
ijassa-327	60	15	and	and	CCONJ
ijassa-327	60	16	accelerated	accelerate	VERB
ijassa-327	60	17	velocity	velocity	NOUN
ijassa-327	60	18	of	of	ADP
ijassa-327	60	19	motion	motion	NOUN
ijassa-327	60	20	can	can	AUX
ijassa-327	60	21	also	also	ADV
ijassa-327	60	22	be	be	AUX
ijassa-327	60	23	defined	define	VERB
ijassa-327	60	24	into	into	ADP
ijassa-327	60	25	norm	norm	NOUN
ijassa-327	60	26	separately	separately	ADV
ijassa-327	60	27	,	,	PUNCT
ijassa-327	60	28	which	which	PRON
ijassa-327	60	29	can	can	AUX
ijassa-327	60	30	also	also	ADV
ijassa-327	60	31	be	be	AUX
ijassa-327	60	32	combined	combine	VERB
ijassa-327	60	33	together	together	ADV
ijassa-327	60	34	for	for	ADP
ijassa-327	60	35	norm	norm	NOUN
ijassa-327	60	36	.	.	PUNCT
ijassa-327	61	1	the	the	DET
ijassa-327	61	2	same	same	ADJ
ijassa-327	61	3	function	function	NOUN
ijassa-327	61	4	can	can	AUX
ijassa-327	61	5	be	be	AUX
ijassa-327	61	6	bestowed	bestow	VERB
ijassa-327	61	7	different	different	ADJ
ijassa-327	61	8	norm	norm	NOUN
ijassa-327	61	9	.	.	PUNCT
ijassa-327	62	1	for	for	ADP
ijassa-327	62	2	example	example	NOUN
ijassa-327	62	3	,	,	PUNCT
ijassa-327	62	4	c[a，b	c[a，b	AUX
ijassa-327	62	5	]	]	X
ijassa-327	62	6	is	be	AUX
ijassa-327	62	7	defined	define	VERB
ijassa-327	62	8	all	all	DET
ijassa-327	62	9	continuous	continuous	ADJ
ijassa-327	62	10	derivable	derivable	ADJ
ijassa-327	62	11	functions	function	NOUN
ijassa-327	62	12	in	in	ADP
ijassa-327	62	13	[	[	X
ijassa-327	62	14	a，b	a，b	PROPN
ijassa-327	62	15	]	]	PUNCT
ijassa-327	62	16	,	,	PUNCT
ijassa-327	62	17	which	which	PRON
ijassa-327	62	18	forms	form	VERB
ijassa-327	62	19	linear	linear	ADJ
ijassa-327	62	20	space	space	NOUN
ijassa-327	62	21	x.	x.	NOUN
ijassa-327	62	22	for	for	ADP
ijassa-327	62	23	every	every	DET
ijassa-327	62	24	x∈x	x∈x	NOUN
ijassa-327	62	25	,	,	PUNCT
ijassa-327	62	26	we	we	PRON
ijassa-327	62	27	define	define	VERB
ijassa-327	62	28	norm	norm	NOUN
ijassa-327	62	29	:	:	PUNCT
ijassa-327	62	30	)	)	PUNCT
ijassa-327	62	31	(	(	PUNCT
ijassa-327	62	32	bta	bta	VERB
ijassa-327	62	33	txmaxx	txmaxx	PROPN
ijassa-327	62	34	≤≤	≤≤	ADP
ijassa-327	62	35	=	=	SYM
ijassa-327	62	36	or	or	CCONJ
ijassa-327	62	37	)	)	PUNCT
ijassa-327	62	38	(	(	PUNCT
ijassa-327	62	39	)	)	PUNCT
ijassa-327	62	40	(	(	PUNCT
ijassa-327	62	41	txmaxtxmaxx	txmaxtxmaxx	NOUN
ijassa-327	62	42	b≤t≤ab≤t≤a	b≤t≤ab≤t≤a	VERB
ijassa-327	62	43	+	+	NOUN
ijassa-327	62	44	=	=	SYM
ijassa-327	62	45	or	or	CCONJ
ijassa-327	62	46	dttxx	dttxx	NOUN
ijassa-327	62	47	a∫=	a∫=	PROPN
ijassa-327	62	48	b	b	X
ijassa-327	62	49	)	)	PUNCT
ijassa-327	62	50	(	(	PUNCT
ijassa-327	62	51	they	they	PRON
ijassa-327	62	52	can	can	AUX
ijassa-327	62	53	all	all	ADV
ijassa-327	62	54	be	be	AUX
ijassa-327	62	55	normed	normed	ADJ
ijassa-327	62	56	space	space	NOUN
ijassa-327	62	57	.	.	PUNCT
ijassa-327	63	1	n	n	CCONJ
ijassa-327	63	2	-	-	PUNCT
ijassa-327	63	3	dimensional	dimensional	ADJ
ijassa-327	63	4	euclid	euclid	ADJ
ijassa-327	63	5	space	space	NOUN
ijassa-327	63	6	set	set	VERB
ijassa-327	63	7	distance	distance	NOUN
ijassa-327	63	8	as	as	ADP
ijassa-327	63	9	norm	norm	NOUN
ijassa-327	63	10	:	:	PUNCT
ijassa-327	63	11	so	so	ADV
ijassa-327	63	12	it	it	PRON
ijassa-327	63	13	is	be	AUX
ijassa-327	63	14	also	also	ADV
ijassa-327	63	15	a	a	DET
ijassa-327	63	16	normed	normed	ADJ
ijassa-327	63	17	space	space	NOUN
ijassa-327	63	18	.	.	PUNCT
ijassa-327	64	1	norm	norm	NOUN
ijassa-327	64	2	is	be	AUX
ijassa-327	64	3	a	a	DET
ijassa-327	64	4	representation	representation	NOUN
ijassa-327	64	5	of	of	ADP
ijassa-327	64	6	multi	multi	ADJ
ijassa-327	64	7	-	-	NOUN
ijassa-327	64	8	dimension	dimension	NOUN
ijassa-327	64	9	.	.	PUNCT
ijassa-327	65	1	the	the	DET
ijassa-327	65	2	definition	definition	NOUN
ijassa-327	65	3	of	of	ADP
ijassa-327	65	4	norm	norm	NOUN
ijassa-327	65	5	is	be	AUX
ijassa-327	65	6	artificial	artificial	ADJ
ijassa-327	65	7	,	,	PUNCT
ijassa-327	65	8	which	which	PRON
ijassa-327	65	9	makes	make	VERB
ijassa-327	65	10	its	its	PRON
ijassa-327	65	11	physical	physical	ADJ
ijassa-327	65	12	meaning	meaning	NOUN
ijassa-327	65	13	diversified	diversified	ADJ
ijassa-327	65	14	.	.	PUNCT
ijassa-327	66	1	some	some	DET
ijassa-327	66	2	norm	norm	NOUN
ijassa-327	66	3	has	have	VERB
ijassa-327	66	4	such	such	DET
ijassa-327	66	5	a	a	DET
ijassa-327	66	6	complicated	complicated	ADJ
ijassa-327	66	7	physical	physical	ADJ
ijassa-327	66	8	meaning	meaning	NOUN
ijassa-327	66	9	that	that	SCONJ
ijassa-327	66	10	it	it	PRON
ijassa-327	66	11	is	be	AUX
ijassa-327	66	12	unfathomed	unfathome	VERB
ijassa-327	66	13	by	by	ADP
ijassa-327	66	14	using	use	VERB
ijassa-327	66	15	three	three	NUM
ijassa-327	66	16	-	-	PUNCT
ijassa-327	66	17	dimension	dimension	NOUN
ijassa-327	66	18	.	.	PUNCT
ijassa-327	67	1	multi	multi	ADJ
ijassa-327	67	2	-	-	ADJ
ijassa-327	67	3	dimension	dimension	NOUN
ijassa-327	67	4	can	can	AUX
ijassa-327	67	5	express	express	VERB
ijassa-327	67	6	much	much	ADV
ijassa-327	67	7	richer	rich	ADJ
ijassa-327	67	8	physical	physical	ADJ
ijassa-327	67	9	meaning	meaning	NOUN
ijassa-327	67	10	than	than	ADP
ijassa-327	67	11	three	three	NUM
ijassa-327	67	12	.	.	PUNCT
ijassa-327	68	1	norm	norm	NOUN
ijassa-327	68	2	can	can	AUX
ijassa-327	68	3	express	express	VERB
ijassa-327	68	4	n	n	DET
ijassa-327	68	5	variables	variable	NOUN
ijassa-327	68	6	at	at	ADP
ijassa-327	68	7	the	the	DET
ijassa-327	68	8	same	same	ADJ
ijassa-327	68	9	time	time	NOUN
ijassa-327	68	10	,	,	PUNCT
ijassa-327	68	11	which	which	PRON
ijassa-327	68	12	can	can	AUX
ijassa-327	68	13	represent	represent	VERB
ijassa-327	68	14	and	and	CCONJ
ijassa-327	68	15	analyze	analyze	VERB
ijassa-327	68	16	variables	variable	NOUN
ijassa-327	68	17	from	from	ADP
ijassa-327	68	18	several	several	ADJ
ijassa-327	68	19	design	design	NOUN
ijassa-327	68	20	spaces	space	NOUN
ijassa-327	68	21	systematically	systematically	ADV
ijassa-327	68	22	and	and	CCONJ
ijassa-327	68	23	comprehensively	comprehensively	ADV
ijassa-327	68	24	at	at	ADP
ijassa-327	68	25	the	the	DET
ijassa-327	68	26	same	same	ADJ
ijassa-327	68	27	time	time	NOUN
ijassa-327	68	28	.	.	PUNCT
ijassa-327	69	1	3.1.2	3.1.2	NUM
ijassa-327	69	2	the	the	DET
ijassa-327	69	3	simplification	simplification	NOUN
ijassa-327	69	4	of	of	ADP
ijassa-327	69	5	n	n	CCONJ
ijassa-327	69	6	-	-	PUNCT
ijassa-327	69	7	dimension	dimension	NOUN
ijassa-327	69	8	design	design	NOUN
ijassa-327	69	9	space	space	NOUN
ijassa-327	69	10	with	with	ADP
ijassa-327	69	11	norm	norm	NOUN
ijassa-327	69	12	norm	norm	NOUN
ijassa-327	69	13	analysis	analysis	NOUN
ijassa-327	69	14	is	be	AUX
ijassa-327	69	15	highly	highly	ADV
ijassa-327	69	16	comprehensive	comprehensive	ADJ
ijassa-327	69	17	and	and	CCONJ
ijassa-327	69	18	abstract	abstract	ADJ
ijassa-327	69	19	.	.	PUNCT
ijassa-327	70	1	it	it	PRON
ijassa-327	70	2	is	be	AUX
ijassa-327	70	3	not	not	PART
ijassa-327	70	4	focused	focus	VERB
ijassa-327	70	5	on	on	ADP
ijassa-327	70	6	specific	specific	ADJ
ijassa-327	70	7	structure	structure	NOUN
ijassa-327	70	8	and	and	CCONJ
ijassa-327	70	9	physical	physical	ADJ
ijassa-327	70	10	meaning	meaning	NOUN
ijassa-327	70	11	of	of	ADP
ijassa-327	70	12	function	function	NOUN
ijassa-327	70	13	,	,	PUNCT
ijassa-327	70	14	but	but	CCONJ
ijassa-327	70	15	on	on	ADP
ijassa-327	70	16	the	the	DET
ijassa-327	70	17	function	function	NOUN
ijassa-327	70	18	system	system	NOUN
ijassa-327	70	19	and	and	CCONJ
ijassa-327	70	20	its	its	PRON
ijassa-327	70	21	commonality	commonality	NOUN
ijassa-327	70	22	.	.	PUNCT
ijassa-327	71	1	mechanical	mechanical	ADJ
ijassa-327	71	2	design	design	NOUN
ijassa-327	71	3	space	space	NOUN
ijassa-327	71	4	analyzed	analyze	VERB
ijassa-327	71	5	with	with	ADP
ijassa-327	71	6	arbitrary	arbitrary	ADJ
ijassa-327	71	7	function	function	NOUN
ijassa-327	71	8	can	can	AUX
ijassa-327	71	9	unify	unify	VERB
ijassa-327	71	10	geometry	geometry	NOUN
ijassa-327	71	11	,	,	PUNCT
ijassa-327	71	12	statics	statics	PROPN
ijassa-327	71	13	,	,	PUNCT
ijassa-327	71	14	kinematics	kinematic	NOUN
ijassa-327	71	15	and	and	CCONJ
ijassa-327	71	16	dynamics	dynamic	NOUN
ijassa-327	71	17	design	design	VERB
ijassa-327	71	18	into	into	ADP
ijassa-327	71	19	one	one	NUM
ijassa-327	71	20	norm	norm	NOUN
ijassa-327	71	21	structure	structure	NOUN
ijassa-327	71	22	.	.	PUNCT
ijassa-327	72	1	the	the	DET
ijassa-327	72	2	diversification	diversification	NOUN
ijassa-327	72	3	of	of	ADP
ijassa-327	72	4	norm	norm	NOUN
ijassa-327	72	5	definitions	definition	NOUN
ijassa-327	72	6	makes	make	VERB
ijassa-327	72	7	the	the	DET
ijassa-327	72	8	study	study	NOUN
ijassa-327	72	9	comprehensive	comprehensive	ADJ
ijassa-327	72	10	and	and	CCONJ
ijassa-327	72	11	flexible	flexible	ADJ
ijassa-327	72	12	.	.	PUNCT
ijassa-327	73	1	the	the	DET
ijassa-327	73	2	normed	normed	ADJ
ijassa-327	73	3	space	space	NOUN
ijassa-327	73	4	with	with	ADP
ijassa-327	73	5	distance	distance	NOUN
ijassa-327	73	6	as	as	SCONJ
ijassa-327	73	7	its	its	PRON
ijassa-327	73	8	norm	norm	NOUN
ijassa-327	73	9	is	be	AUX
ijassa-327	73	10	a	a	DET
ijassa-327	73	11	traditional	traditional	ADJ
ijassa-327	73	12	geometry	geometry	NOUN
ijassa-327	73	13	space	space	NOUN
ijassa-327	73	14	.	.	PUNCT
ijassa-327	74	1	and	and	CCONJ
ijassa-327	74	2	the	the	DET
ijassa-327	74	3	one	one	NOUN
ijassa-327	74	4	with	with	ADP
ijassa-327	74	5	the	the	DET
ijassa-327	74	6	linear	linear	ADJ
ijassa-327	74	7	combination	combination	NOUN
ijassa-327	74	8	of	of	ADP
ijassa-327	74	9	displacement	displacement	NOUN
ijassa-327	74	10	,	,	PUNCT
ijassa-327	74	11	velocity	velocity	NOUN
ijassa-327	74	12	and	and	CCONJ
ijassa-327	74	13	accelerated	accelerate	VERB
ijassa-327	74	14	velocity	velocity	NOUN
ijassa-327	74	15	can	can	AUX
ijassa-327	74	16	show	show	VERB
ijassa-327	74	17	the	the	DET
ijassa-327	74	18	difference	difference	NOUN
ijassa-327	74	19	among	among	ADP
ijassa-327	74	20	different	different	ADJ
ijassa-327	74	21	moving	move	VERB
ijassa-327	74	22	modes	mode	NOUN
ijassa-327	74	23	easily	easily	ADV
ijassa-327	74	24	and	and	CCONJ
ijassa-327	74	25	clearly	clearly	ADV
ijassa-327	74	26	.	.	PUNCT
ijassa-327	75	1	normed	normed	ADJ
ijassa-327	75	2	space	space	NOUN
ijassa-327	75	3	with	with	ADP
ijassa-327	75	4	linear	linear	ADJ
ijassa-327	75	5	combination	combination	NOUN
ijassa-327	75	6	of	of	ADP
ijassa-327	75	7	2	2	NUM
ijassa-327	75	8	1	1	NUM
ijassa-327	75	9	1	1	NUM
ijassa-327	75	10	2	2	NUM
ijassa-327	75	11	⎟	⎟	X
ijassa-327	75	12	⎠	⎠	X
ijassa-327	75	13	⎞	⎞	X
ijassa-327	75	14	⎜	⎜	PROPN
ijassa-327	75	15	⎝	⎝	PUNCT
ijassa-327	75	16	⎛	⎛	X
ijassa-327	75	17	=	=	PUNCT
ijassa-327	75	18	∑	∑	PUNCT
ijassa-327	75	19	=	=	SYM
ijassa-327	75	20	n	n	NOUN
ijassa-327	75	21	i	i	PRON
ijassa-327	75	22	ix	ix	PROPN
ijassa-327	75	23	ξ	ξ	PROPN
ijassa-327	75	24	334	334	NUM
ijassa-327	75	25	jiang	jiang	PROPN
ijassa-327	75	26	:	:	PUNCT
ijassa-327	75	27	the	the	DET
ijassa-327	75	28	application	application	NOUN
ijassa-327	75	29	of	of	ADP
ijassa-327	75	30	norm	norm	ADJ
ijassa-327	75	31	functional	functional	ADJ
ijassa-327	75	32	multi	multi	ADJ
ijassa-327	75	33	-	-	ADJ
ijassa-327	75	34	dimensional	dimensional	ADJ
ijassa-327	75	35	space	space	NOUN
ijassa-327	75	36	theory	theory	NOUN
ijassa-327	75	37	in	in	ADP
ijassa-327	75	38	dynamic	dynamic	ADJ
ijassa-327	75	39	design	design	NOUN
ijassa-327	75	40	contour	contour	NOUN
ijassa-327	75	41	function	function	NOUN
ijassa-327	75	42	and	and	CCONJ
ijassa-327	75	43	n	n	CCONJ
ijassa-327	75	44	th	th	X
ijassa-327	75	45	derivative	derivative	NOUN
ijassa-327	75	46	as	as	ADP
ijassa-327	75	47	norm	norm	NOUN
ijassa-327	75	48	can	can	AUX
ijassa-327	75	49	also	also	ADV
ijassa-327	75	50	express	express	VERB
ijassa-327	75	51	the	the	DET
ijassa-327	75	52	smoothness	smoothness	NOUN
ijassa-327	75	53	of	of	ADP
ijassa-327	75	54	curve	curve	NOUN
ijassa-327	75	55	and	and	CCONJ
ijassa-327	75	56	the	the	DET
ijassa-327	75	57	continuity	continuity	NOUN
ijassa-327	75	58	of	of	ADP
ijassa-327	75	59	processing	process	VERB
ijassa-327	75	60	easily	easily	ADV
ijassa-327	75	61	.	.	PUNCT
ijassa-327	76	1	define	define	VERB
ijassa-327	76	2	for	for	ADP
ijassa-327	76	3	any	any	PRON
ijassa-327	76	4	)	)	PUNCT
ijassa-327	76	5	(	(	PUNCT
ijassa-327	76	6	tu	tu	PROPN
ijassa-327	76	7	mc∈	mc∈	PROPN
ijassa-327	76	8	，	，	PROPN
ijassa-327	76	9	set	set	NOUN
ijassa-327	76	10	norm	norm	NOUN
ijassa-327	76	11	:	:	PUNCT
ijassa-327	76	12	p	p	PROPN
ijassa-327	76	13	ma	ma	PROPN
ijassa-327	77	1	p	p	PROPN
ijassa-327	78	1	p	p	PROPN
ijassa-327	79	1	a	a	DET
ijassa-327	79	2	pm	pm	NOUN
ijassa-327	79	3	uu	uu	ADJ
ijassa-327	79	4	1	1	NUM
ijassa-327	79	5	,	,	PUNCT
ijassa-327	79	6	⎟	⎟	X
ijassa-327	79	7	⎟	⎟	X
ijassa-327	79	8	⎠	⎠	PUNCT
ijassa-327	79	9	⎞	⎞	PROPN
ijassa-327	79	10	⎜	⎜	PROPN
ijassa-327	79	11	⎜	⎜	PROPN
ijassa-327	79	12	⎝	⎝	PUNCT
ijassa-327	79	13	⎛	⎛	VERB
ijassa-327	79	14	∂=	∂=	ADV
ijassa-327	79	15	∑	∑	PROPN
ijassa-327	79	16	≤	≤	X
ijassa-327	79	17	{	{	PUNCT
ijassa-327	79	18	}	}	PUNCT
ijassa-327	79	19	∞<∈=	∞<∈=	ADJ
ijassa-327	79	20	pm	pm	PROPN
ijassa-327	79	21	,	,	PUNCT
ijassa-327	79	22	m	m	VERB
ijassa-327	79	23	u:)t(cus	u:)t(cus	PROPN
ijassa-327	79	24	is	be	AUX
ijassa-327	79	25	a	a	DET
ijassa-327	79	26	normed	normed	ADJ
ijassa-327	79	27	space	space	NOUN
ijassa-327	79	28	.	.	PUNCT
ijassa-327	80	1	its	its	PRON
ijassa-327	80	2	completion	completion	NOUN
ijassa-327	80	3	is	be	AUX
ijassa-327	80	4	a	a	DET
ijassa-327	80	5	banach	banach	NOUN
ijassa-327	80	6	space	space	NOUN
ijassa-327	80	7	,	,	PUNCT
ijassa-327	80	8	called	call	VERB
ijassa-327	80	9	sobolev	sobolev	ADJ
ijassa-327	80	10	space	space	NOUN
ijassa-327	80	11	.	.	PUNCT
ijassa-327	81	1	the	the	DET
ijassa-327	81	2	second	second	ADJ
ijassa-327	81	3	arbitrary	arbitrary	ADJ
ijassa-327	81	4	function	function	NOUN
ijassa-327	81	5	problem	problem	NOUN
ijassa-327	81	6	of	of	ADP
ijassa-327	81	7	dynamic	dynamic	ADJ
ijassa-327	81	8	design	design	NOUN
ijassa-327	81	9	can	can	AUX
ijassa-327	81	10	be	be	AUX
ijassa-327	81	11	solved	solve	VERB
ijassa-327	81	12	by	by	ADP
ijassa-327	81	13	sobolev	sobolev	NOUN
ijassa-327	81	14	space	space	NOUN
ijassa-327	81	15	definition	definition	NOUN
ijassa-327	81	16	,	,	PUNCT
ijassa-327	81	17	that	that	ADV
ijassa-327	81	18	is	is	ADV
ijassa-327	81	19	,	,	PUNCT
ijassa-327	81	20	to	to	PART
ijassa-327	81	21	study	study	VERB
ijassa-327	81	22	variable	variable	NOUN
ijassa-327	81	23	and	and	CCONJ
ijassa-327	81	24	its	its	PRON
ijassa-327	81	25	change	change	NOUN
ijassa-327	81	26	rate	rate	NOUN
ijassa-327	81	27	at	at	ADP
ijassa-327	81	28	the	the	DET
ijassa-327	81	29	same	same	ADJ
ijassa-327	81	30	time	time	NOUN
ijassa-327	81	31	.	.	PUNCT
ijassa-327	82	1	though	though	SCONJ
ijassa-327	82	2	two	two	NUM
ijassa-327	82	3	functions	function	NOUN
ijassa-327	82	4	with	with	ADP
ijassa-327	82	5	equal	equal	ADJ
ijassa-327	82	6	norm	norm	NOUN
ijassa-327	82	7	║	║	NOUN
ijassa-327	82	8	u	u	NOUN
ijassa-327	82	9	║	║	NOUN
ijassa-327	82	10	m	m	NOUN
ijassa-327	82	11	,	,	PUNCT
ijassa-327	82	12	p	p	PROPN
ijassa-327	82	13	may	may	AUX
ijassa-327	82	14	not	not	PART
ijassa-327	82	15	be	be	AUX
ijassa-327	82	16	the	the	DET
ijassa-327	82	17	same	same	ADJ
ijassa-327	82	18	,	,	PUNCT
ijassa-327	82	19	the	the	DET
ijassa-327	82	20	norm	norm	NOUN
ijassa-327	82	21	of	of	ADP
ijassa-327	82	22	identical	identical	ADJ
ijassa-327	82	23	functions	function	NOUN
ijassa-327	82	24	must	must	AUX
ijassa-327	82	25	be	be	AUX
ijassa-327	82	26	equal	equal	ADJ
ijassa-327	82	27	.	.	PUNCT
ijassa-327	83	1	so	so	ADV
ijassa-327	83	2	,	,	PUNCT
ijassa-327	83	3	accompanied	accompany	VERB
ijassa-327	83	4	by	by	ADP
ijassa-327	83	5	other	other	ADJ
ijassa-327	83	6	conditions	condition	NOUN
ijassa-327	83	7	,	,	PUNCT
ijassa-327	83	8	norm	norm	NOUN
ijassa-327	83	9	can	can	AUX
ijassa-327	83	10	be	be	AUX
ijassa-327	83	11	used	use	VERB
ijassa-327	83	12	to	to	PART
ijassa-327	83	13	study	study	VERB
ijassa-327	83	14	function	function	NOUN
ijassa-327	83	15	.	.	PUNCT
ijassa-327	84	1	distance	distance	NOUN
ijassa-327	84	2	,	,	PUNCT
ijassa-327	84	3	motion	motion	NOUN
ijassa-327	84	4	and	and	CCONJ
ijassa-327	84	5	energy	energy	NOUN
ijassa-327	84	6	space	space	NOUN
ijassa-327	84	7	all	all	PRON
ijassa-327	84	8	involves	involve	VERB
ijassa-327	84	9	function	function	NOUN
ijassa-327	84	10	and	and	CCONJ
ijassa-327	84	11	its	its	PRON
ijassa-327	84	12	derivatives	derivative	NOUN
ijassa-327	84	13	.	.	PUNCT
ijassa-327	85	1	sobolev	sobolev	NOUN
ijassa-327	85	2	space	space	NOUN
ijassa-327	85	3	is	be	AUX
ijassa-327	85	4	concerned	concern	VERB
ijassa-327	85	5	with	with	ADP
ijassa-327	85	6	motion	motion	NOUN
ijassa-327	85	7	:	:	PUNCT
ijassa-327	85	8	suppose	suppose	VERB
ijassa-327	85	9	the	the	DET
ijassa-327	85	10	motion	motion	NOUN
ijassa-327	85	11	space	space	NOUN
ijassa-327	85	12	is	be	AUX
ijassa-327	85	13	composed	compose	VERB
ijassa-327	85	14	of	of	ADP
ijassa-327	85	15	displacement	displacement	NOUN
ijassa-327	85	16	,	,	PUNCT
ijassa-327	85	17	velocity	velocity	NOUN
ijassa-327	85	18	,	,	PUNCT
ijassa-327	85	19	acceleration	acceleration	NOUN
ijassa-327	85	20	velocity	velocity	NOUN
ijassa-327	85	21	and	and	CCONJ
ijassa-327	85	22	accelerating	accelerate	VERB
ijassa-327	85	23	acceleration	acceleration	NOUN
ijassa-327	85	24	velocity	velocity	NOUN
ijassa-327	85	25	,	,	PUNCT
ijassa-327	85	26	represented	represent	VERB
ijassa-327	85	27	with	with	ADP
ijassa-327	85	28	u	u	PRON
ijassa-327	85	29	，	，	PROPN
ijassa-327	85	30	u	u	NOUN
ijassa-327	85	31	′，u	′，u	PRON
ijassa-327	85	32	′′	′′	PROPN
ijassa-327	85	33	，	，	PROPN
ijassa-327	85	34	u	u	X
ijassa-327	85	35	′′′	′′′	ADV
ijassa-327	85	36	respectively	respectively	ADV
ijassa-327	85	37	,	,	PUNCT
ijassa-327	85	38	)	)	PUNCT
ijassa-327	85	39	(	(	PUNCT
ijassa-327	85	40	tu	tu	PROPN
ijassa-327	85	41	mc∈	mc∈	PROPN
ijassa-327	85	42	,	,	PUNCT
ijassa-327	85	43	set	set	NOUN
ijassa-327	85	44	norm	norm	NOUN
ijassa-327	85	45	:	:	PUNCT
ijassa-327	85	46	(	(	PUNCT
ijassa-327	85	47	)	)	SYM
ijassa-327	85	48	2	2	NUM
ijassa-327	85	49	2	2	NUM
ijassa-327	85	50	2	2	NUM
ijassa-327	85	51	2	2	NUM
ijassa-327	85	52	1	1	NUM
ijassa-327	85	53	1	1	NUM
ijassa-327	85	54	1	1	NUM
ijassa-327	85	55	1	1	NUM
ijassa-327	85	56	1	1	NUM
ijassa-327	85	57	1	1	NUM
ijassa-327	85	58	22	22	NUM
ijassa-327	85	59	2	2	NUM
ijassa-327	85	60	2	2	NUM
ijassa-327	85	61	2	2	NUM
ijassa-327	85	62	,	,	PUNCT
ijassa-327	85	63	u	u	NOUN
ijassa-327	85	64	dt	dt	X
ijassa-327	85	65	u	u	NOUN
ijassa-327	85	66	dt	dt	X
ijassa-327	85	67	u	u	NOUN
ijassa-327	85	68	dt	dt	X
ijassa-327	85	69	u	u	NOUN
ijassa-327	85	70	dt	dt	X
ijassa-327	85	71	p	p	PROPN
ijassa-327	85	72	pa	pa	PROPN
ijassa-327	85	73	m	m	PROPN
ijassa-327	85	74	p	p	NOUN
ijassa-327	85	75	p	p	X
ijassa-327	85	76	a	a	DET
ijassa-327	85	77	m	m	NOUN
ijassa-327	85	78	u	u	NOUN
ijassa-327	85	79	u	u	X
ijassa-327	85	80	ξ	ξ	X
ijassa-327	85	81	ξ	ξ	X
ijassa-327	85	82	ξ	ξ	X
ijassa-327	85	83	ξ	ξ	X
ijassa-327	85	84	ξ	ξ	X
ijassa-327	85	85	ξ	ξ	X
ijassa-327	85	86	ξ	ξ	X
ijassa-327	85	87	ξ	ξ	X
ijassa-327	85	88	≤	≤	X
ijassa-327	85	89	⎛	⎛	NOUN
ijassa-327	85	90	⎞	⎞	NOUN
ijassa-327	85	91	′	′	NUM
ijassa-327	86	1	′′	′′	NOUN
ijassa-327	86	2	′′′=	′′′=	PRON
ijassa-327	86	3	∂	∂	NOUN
ijassa-327	86	4	=	=	SYM
ijassa-327	86	5	+	+	PUNCT
ijassa-327	86	6	+	+	CCONJ
ijassa-327	86	7	+	+	ADJ
ijassa-327	86	8	⎜	⎜	X
ijassa-327	86	9	⎟⎜	⎟⎜	VERB
ijassa-327	86	10	⎟	⎟	X
ijassa-327	86	11	⎝	⎝	PUNCT
ijassa-327	86	12	⎠	⎠	PROPN
ijassa-327	86	13	∑	∑	PUNCT
ijassa-327	86	14	∫	∫	PROPN
ijassa-327	86	15	∫	∫	PROPN
ijassa-327	86	16	∫	∫	PROPN
ijassa-327	86	17	∫	∫	PROPN
ijassa-327	86	18	║	║	NOUN
ijassa-327	86	19	u	u	NOUN
ijassa-327	86	20	║	║	NOUN
ijassa-327	86	21	m	m	NOUN
ijassa-327	86	22	,	,	PUNCT
ijassa-327	86	23	p	p	NOUN
ijassa-327	86	24	norm	norm	NOUN
ijassa-327	86	25	can	can	AUX
ijassa-327	86	26	express	express	VERB
ijassa-327	86	27	for	for	ADP
ijassa-327	86	28	variables	variable	NOUN
ijassa-327	86	29	u	u	NOUN
ijassa-327	86	30	，	，	PROPN
ijassa-327	86	31	u	u	NOUN
ijassa-327	86	32	′，u	′，u	PRON
ijassa-327	86	33	′′	′′	PROPN
ijassa-327	86	34	，	，	PROPN
ijassa-327	86	35	u	u	PROPN
ijassa-327	86	36	′′′	′′′	VERB
ijassa-327	86	37	at	at	ADP
ijassa-327	86	38	the	the	DET
ijassa-327	86	39	same	same	ADJ
ijassa-327	86	40	time	time	NOUN
ijassa-327	86	41	.	.	PUNCT
ijassa-327	87	1	space	space	NOUN
ijassa-327	87	2	variables	variable	NOUN
ijassa-327	87	3	in	in	ADP
ijassa-327	87	4	dynamics	dynamic	NOUN
ijassa-327	87	5	are	be	AUX
ijassa-327	87	6	:	:	PUNCT
ijassa-327	87	7	u	u	X
ijassa-327	87	8	，	，	PROPN
ijassa-327	87	9	u′，u	u′，u	PROPN
ijassa-327	87	10	′′	′′	PROPN
ijassa-327	87	11	，	，	PUNCT
ijassa-327	87	12	um	um	INTJ
ijassa-327	87	13	′′	′′	PROPN
ijassa-327	87	14	,	,	PUNCT
ijassa-327	87	15	in	in	ADP
ijassa-327	87	16	which	which	PRON
ijassa-327	87	17	m	m	VERB
ijassa-327	87	18	is	be	AUX
ijassa-327	87	19	mass	mass	ADJ
ijassa-327	87	20	.	.	PUNCT
ijassa-327	88	1	space	space	NOUN
ijassa-327	88	2	variables	variable	NOUN
ijassa-327	88	3	of	of	ADP
ijassa-327	88	4	contour	contour	NOUN
ijassa-327	88	5	curve	curve	NOUN
ijassa-327	88	6	are	be	AUX
ijassa-327	88	7	(	(	PUNCT
ijassa-327	88	8	)	)	PUNCT
ijassa-327	88	9	tc0	tc0	NOUN
ijassa-327	88	10	，	，	PROPN
ijassa-327	88	11	(	(	PUNCT
ijassa-327	88	12	)	)	PUNCT
ijassa-327	88	13	tc1	tc1	NOUN
ijassa-327	88	14	，	，	PROPN
ijassa-327	88	15	(	(	PUNCT
ijassa-327	88	16	)	)	PUNCT
ijassa-327	88	17	tc	tc	PROPN
ijassa-327	88	18	2	2	NUM
ijassa-327	88	19	，	，	X
ijassa-327	88	20	…	…	PUNCT
ijassa-327	88	21	，	，	ADJ
ijassa-327	88	22	(	(	PUNCT
ijassa-327	88	23	)	)	PUNCT
ijassa-327	88	24	tc	tc	NUM
ijassa-327	88	25	n	n	NOUN
ijassa-327	88	26	,	,	PUNCT
ijassa-327	88	27	which	which	PRON
ijassa-327	88	28	can	can	AUX
ijassa-327	88	29	also	also	ADV
ijassa-327	88	30	be	be	AUX
ijassa-327	88	31	defined	define	VERB
ijassa-327	88	32	into	into	ADP
ijassa-327	88	33	norm	norm	NOUN
ijassa-327	88	34	with	with	ADP
ijassa-327	88	35	similar	similar	ADJ
ijassa-327	88	36	method	method	NOUN
ijassa-327	88	37	.	.	PUNCT
ijassa-327	89	1	they	they	PRON
ijassa-327	89	2	share	share	VERB
ijassa-327	89	3	the	the	DET
ijassa-327	89	4	same	same	ADJ
ijassa-327	89	5	form	form	NOUN
ijassa-327	89	6	,	,	PUNCT
ijassa-327	89	7	all	all	PRON
ijassa-327	89	8	belonging	belong	VERB
ijassa-327	89	9	to	to	ADP
ijassa-327	89	10	sobolev	sobolev	NOUN
ijassa-327	89	11	space	space	NOUN
ijassa-327	89	12	.	.	PUNCT
ijassa-327	90	1	sobolev	sobolev	NOUN
ijassa-327	90	2	space	space	NOUN
ijassa-327	90	3	,	,	PUNCT
ijassa-327	90	4	which	which	PRON
ijassa-327	90	5	combines	combine	VERB
ijassa-327	90	6	parameter	parameter	NOUN
ijassa-327	90	7	and	and	CCONJ
ijassa-327	90	8	its	its	PRON
ijassa-327	90	9	derivative	derivative	NOUN
ijassa-327	90	10	to	to	PART
ijassa-327	90	11	define	define	VERB
ijassa-327	90	12	norm	norm	NOUN
ijassa-327	90	13	,	,	PUNCT
ijassa-327	90	14	includes	include	VERB
ijassa-327	90	15	the	the	DET
ijassa-327	90	16	main	main	ADJ
ijassa-327	90	17	content	content	NOUN
ijassa-327	90	18	in	in	ADP
ijassa-327	90	19	dynamic	dynamic	ADJ
ijassa-327	90	20	design	design	NOUN
ijassa-327	90	21	by	by	ADP
ijassa-327	90	22	unified	unified	ADJ
ijassa-327	90	23	structure	structure	NOUN
ijassa-327	90	24	of	of	ADP
ijassa-327	90	25	norm	norm	NOUN
ijassa-327	90	26	function	function	NOUN
ijassa-327	90	27	.	.	PUNCT
ijassa-327	91	1	this	this	DET
ijassa-327	91	2	highly	highly	ADV
ijassa-327	91	3	abstract	abstract	ADJ
ijassa-327	91	4	and	and	CCONJ
ijassa-327	91	5	comprehensive	comprehensive	ADJ
ijassa-327	91	6	structure	structure	NOUN
ijassa-327	91	7	makes	make	VERB
ijassa-327	91	8	the	the	DET
ijassa-327	91	9	analysis	analysis	NOUN
ijassa-327	91	10	of	of	ADP
ijassa-327	91	11	mechanical	mechanical	ADJ
ijassa-327	91	12	design	design	NOUN
ijassa-327	91	13	space	space	NOUN
ijassa-327	91	14	more	more	ADV
ijassa-327	91	15	simple	simple	ADJ
ijassa-327	91	16	and	and	CCONJ
ijassa-327	91	17	comprehensive	comprehensive	ADJ
ijassa-327	91	18	.	.	PUNCT
ijassa-327	92	1	4.example	4.example	NUM
ijassa-327	92	2	for	for	ADP
ijassa-327	92	3	dynamic	dynamic	ADJ
ijassa-327	92	4	design	design	NOUN
ijassa-327	92	5	analyzed	analyze	VERB
ijassa-327	92	6	with	with	ADP
ijassa-327	92	7	arbitrary	arbitrary	ADJ
ijassa-327	92	8	function	function	NOUN
ijassa-327	92	9	4.1.1	4.1.1	NUM
ijassa-327	92	10	flexible	flexible	ADJ
ijassa-327	92	11	and	and	CCONJ
ijassa-327	92	12	digital	digital	ADJ
ijassa-327	92	13	characteristics	characteristic	NOUN
ijassa-327	92	14	to	to	PART
ijassa-327	92	15	define	define	VERB
ijassa-327	92	16	norm	norm	NOUN
ijassa-327	92	17	with	with	ADP
ijassa-327	92	18	several	several	ADJ
ijassa-327	92	19	parameters	parameter	NOUN
ijassa-327	92	20	or	or	CCONJ
ijassa-327	92	21	only	only	ADV
ijassa-327	92	22	one	one	NUM
ijassa-327	92	23	,	,	PUNCT
ijassa-327	92	24	no	no	ADV
ijassa-327	92	25	matter	matter	ADV
ijassa-327	92	26	which	which	DET
ijassa-327	92	27	way	way	NOUN
ijassa-327	92	28	,	,	PUNCT
ijassa-327	92	29	the	the	DET
ijassa-327	92	30	analysis	analysis	NOUN
ijassa-327	92	31	of	of	ADP
ijassa-327	92	32	arbitrary	arbitrary	ADJ
ijassa-327	92	33	function	function	NOUN
ijassa-327	92	34	directly	directly	ADV
ijassa-327	92	35	with	with	ADP
ijassa-327	92	36	norm	norm	NOUN
ijassa-327	92	37	is	be	AUX
ijassa-327	92	38	discrete	discrete	ADJ
ijassa-327	92	39	and	and	CCONJ
ijassa-327	92	40	fussy	fussy	ADJ
ijassa-327	92	41	.	.	PUNCT
ijassa-327	93	1	if	if	SCONJ
ijassa-327	93	2	to	to	PART
ijassa-327	93	3	analyze	analyze	VERB
ijassa-327	93	4	directly	directly	ADV
ijassa-327	93	5	with	with	ADP
ijassa-327	93	6	calculus	calculus	NOUN
ijassa-327	93	7	,	,	PUNCT
ijassa-327	93	8	it	it	PRON
ijassa-327	93	9	’s	’	VERB
ijassa-327	93	10	also	also	ADV
ijassa-327	93	11	discrete	discrete	ADJ
ijassa-327	93	12	and	and	CCONJ
ijassa-327	93	13	fussy	fussy	ADJ
ijassa-327	93	14	for	for	ADP
ijassa-327	93	15	function	function	NOUN
ijassa-327	93	16	space	space	NOUN
ijassa-327	93	17	because	because	SCONJ
ijassa-327	93	18	calculus	calculus	NOUN
ijassa-327	93	19	can	can	AUX
ijassa-327	93	20	only	only	ADV
ijassa-327	93	21	study	study	VERB
ijassa-327	93	22	one	one	NUM
ijassa-327	93	23	function	function	NOUN
ijassa-327	93	24	.	.	PUNCT
ijassa-327	94	1	operators	operator	NOUN
ijassa-327	94	2	in	in	ADP
ijassa-327	94	3	arbitrary	arbitrary	ADJ
ijassa-327	94	4	function	function	NOUN
ijassa-327	94	5	are	be	AUX
ijassa-327	94	6	all	all	PRON
ijassa-327	94	7	effective	effective	ADJ
ijassa-327	94	8	methods	method	NOUN
ijassa-327	94	9	to	to	PART
ijassa-327	94	10	analyze	analyze	VERB
ijassa-327	94	11	arbitrary	arbitrary	ADJ
ijassa-327	94	12	function	function	NOUN
ijassa-327	94	13	.	.	PUNCT
ijassa-327	95	1	the	the	DET
ijassa-327	95	2	optimization	optimization	NOUN
ijassa-327	95	3	of	of	ADP
ijassa-327	95	4	arbitrary	arbitrary	ADJ
ijassa-327	95	5	function	function	NOUN
ijassa-327	95	6	,	,	PUNCT
ijassa-327	95	7	effective	effective	ADJ
ijassa-327	95	8	theoretical	theoretical	ADJ
ijassa-327	95	9	method	method	NOUN
ijassa-327	95	10	,	,	PUNCT
ijassa-327	95	11	is	be	AUX
ijassa-327	95	12	an	an	DET
ijassa-327	95	13	expansion	expansion	NOUN
ijassa-327	95	14	of	of	ADP
ijassa-327	95	15	differential	differential	ADJ
ijassa-327	95	16	calculus	calculus	NOUN
ijassa-327	95	17	.	.	PUNCT
ijassa-327	96	1	gateaux	gateaux	DET
ijassa-327	96	2	differential	differential	NOUN
ijassa-327	96	3	is	be	AUX
ijassa-327	96	4	equivalent	equivalent	ADJ
ijassa-327	96	5	to	to	ADP
ijassa-327	96	6	vatiation	vatiation	NOUN
ijassa-327	96	7	in	in	ADP
ijassa-327	96	8	variational	variational	ADJ
ijassa-327	96	9	calculus	calculus	NOUN
ijassa-327	96	10	,	,	PUNCT
ijassa-327	96	11	or	or	CCONJ
ijassa-327	96	12	direction	direction	VERB
ijassa-327	96	13	derivative	derivative	NOUN
ijassa-327	96	14	in	in	ADP
ijassa-327	96	15	differential	differential	ADJ
ijassa-327	96	16	calculus	calculus	NOUN
ijassa-327	96	17	.	.	PUNCT
ijassa-327	97	1	fréchet	fréchet	PROPN
ijassa-327	97	2	differential	differential	NOUN
ijassa-327	97	3	is	be	AUX
ijassa-327	97	4	equivalent	equivalent	ADJ
ijassa-327	97	5	to	to	PART
ijassa-327	97	6	gradient	gradient	VERB
ijassa-327	97	7	in	in	ADP
ijassa-327	97	8	differential	differential	ADJ
ijassa-327	97	9	calculus	calculus	NOUN
ijassa-327	97	10	or	or	CCONJ
ijassa-327	97	11	complete	complete	ADJ
ijassa-327	97	12	differential	differential	NOUN
ijassa-327	97	13	or	or	CCONJ
ijassa-327	97	14	gradient	gradient	NOUN
ijassa-327	97	15	.	.	PUNCT
ijassa-327	98	1	by	by	ADP
ijassa-327	98	2	using	use	VERB
ijassa-327	98	3	gateaux	gateaux	ADV
ijassa-327	98	4	and	and	CCONJ
ijassa-327	98	5	fréchet	fréchet	NOUN
ijassa-327	98	6	differential	differential	NOUN
ijassa-327	98	7	,	,	PUNCT
ijassa-327	98	8	the	the	DET
ijassa-327	98	9	extreme	extreme	ADJ
ijassa-327	98	10	value	value	NOUN
ijassa-327	98	11	of	of	ADP
ijassa-327	98	12	arbitrary	arbitrary	ADJ
ijassa-327	98	13	function	function	NOUN
ijassa-327	98	14	in	in	ADP
ijassa-327	98	15	linear	linear	ADJ
ijassa-327	98	16	space	space	NOUN
ijassa-327	98	17	can	can	AUX
ijassa-327	98	18	be	be	AUX
ijassa-327	98	19	solved	solve	VERB
ijassa-327	98	20	easily	easily	ADV
ijassa-327	98	21	,	,	PUNCT
ijassa-327	98	22	and	and	CCONJ
ijassa-327	98	23	so	so	ADV
ijassa-327	98	24	can	can	AUX
ijassa-327	98	25	the	the	DET
ijassa-327	98	26	necessary	necessary	ADJ
ijassa-327	98	27	condition	condition	NOUN
ijassa-327	98	28	for	for	ADP
ijassa-327	98	29	local	local	ADJ
ijassa-327	98	30	extreme	extreme	NOUN
ijassa-327	98	31	.	.	PUNCT
ijassa-327	99	1	if	if	SCONJ
ijassa-327	99	2	x	x	PRON
ijassa-327	99	3	is	be	AUX
ijassa-327	99	4	a	a	DET
ijassa-327	99	5	linear	linear	ADJ
ijassa-327	99	6	space	space	NOUN
ijassa-327	99	7	and	and	CCONJ
ijassa-327	99	8	f	f	PROPN
ijassa-327	99	9	is	be	AUX
ijassa-327	99	10	real	real	ADJ
ijassa-327	99	11	value	value	NOUN
ijassa-327	99	12	arbitrary	arbitrary	ADJ
ijassa-327	99	13	function	function	NOUN
ijassa-327	99	14	in	in	ADP
ijassa-327	99	15	x	x	X
ijassa-327	99	16	,	,	PUNCT
ijassa-327	99	17	with	with	ADP
ijassa-327	99	18	gateaux	gateaux	ADV
ijassa-327	99	19	or	or	CCONJ
ijassa-327	99	20	fréchet	fréchet	VERB
ijassa-327	99	21	differentiable	differentiable	ADJ
ijassa-327	99	22	,	,	PUNCT
ijassa-327	99	23	the	the	DET
ijassa-327	99	24	necessary	necessary	ADJ
ijassa-327	99	25	condition	condition	NOUN
ijassa-327	99	26	for	for	ADP
ijassa-327	99	27	extreme	extreme	NOUN
ijassa-327	99	28	in	in	ADP
ijassa-327	99	29	x∈0x	x∈0x	PROPN
ijassa-327	99	30	is	be	AUX
ijassa-327	99	31	,	,	PUNCT
ijassa-327	99	32	for	for	ADP
ijassa-327	99	33	every	every	DET
ijassa-327	99	34	x∈h	x∈h	NOUN
ijassa-327	99	35	,	,	PUNCT
ijassa-327	99	36	(	(	PUNCT
ijassa-327	99	37	)	)	PUNCT
ijassa-327	99	38	0	0	NUM
ijassa-327	99	39	;	;	PUNCT
ijassa-327	99	40	=	=	SYM
ijassa-327	99	41	hxfδ	hxfδ	X
ijassa-327	99	42	.	.	PUNCT
ijassa-327	100	1	that	that	PRON
ijassa-327	100	2	is	be	AUX
ijassa-327	100	3	,	,	PUNCT
ijassa-327	100	4	the	the	DET
ijassa-327	100	5	extremum	extremum	NOUN
ijassa-327	100	6	of	of	ADP
ijassa-327	100	7	arbitrary	arbitrary	ADJ
ijassa-327	100	8	function	function	NOUN
ijassa-327	100	9	can	can	AUX
ijassa-327	100	10	be	be	AUX
ijassa-327	100	11	solved	solve	VERB
ijassa-327	100	12	by	by	ADP
ijassa-327	100	13	vatiation	vatiation	NOUN
ijassa-327	100	14	,	,	PUNCT
ijassa-327	100	15	which	which	PRON
ijassa-327	100	16	is	be	AUX
ijassa-327	100	17	the	the	DET
ijassa-327	100	18	commonest	commonest	NOUN
ijassa-327	100	19	and	and	CCONJ
ijassa-327	100	20	simplest	simple	ADJ
ijassa-327	100	21	method	method	NOUN
ijassa-327	100	22	in	in	ADP
ijassa-327	100	23	analysis	analysis	NOUN
ijassa-327	100	24	and	and	CCONJ
ijassa-327	100	25	calculation	calculation	NOUN
ijassa-327	100	26	.	.	PUNCT
ijassa-327	101	1	at	at	ADP
ijassa-327	101	2	present	present	ADJ
ijassa-327	101	3	,	,	PUNCT
ijassa-327	101	4	the	the	DET
ijassa-327	101	5	main	main	ADJ
ijassa-327	101	6	task	task	NOUN
ijassa-327	101	7	for	for	ADP
ijassa-327	101	8	dynamic	dynamic	ADJ
ijassa-327	101	9	design	design	NOUN
ijassa-327	101	10	is	be	AUX
ijassa-327	101	11	to	to	PART
ijassa-327	101	12	solve	solve	VERB
ijassa-327	101	13	kinematics	kinematic	NOUN
ijassa-327	101	14	and	and	CCONJ
ijassa-327	101	15	dynamics	dynamic	NOUN
ijassa-327	101	16	problems	problem	NOUN
ijassa-327	101	17	,	,	PUNCT
ijassa-327	101	18	such	such	ADJ
ijassa-327	101	19	as	as	ADP
ijassa-327	101	20	vibration	vibration	NOUN
ijassa-327	101	21	frequency	frequency	NOUN
ijassa-327	101	22	,	,	PUNCT
ijassa-327	101	23	periodic	periodic	ADJ
ijassa-327	101	24	and	and	CCONJ
ijassa-327	101	25	inertial	inertial	ADJ
ijassa-327	101	26	force	force	NOUN
ijassa-327	101	27	,	,	PUNCT
ijassa-327	101	28	which	which	PRON
ijassa-327	101	29	involves	involve	VERB
ijassa-327	101	30	mainly	mainly	ADV
ijassa-327	101	31	in	in	ADP
ijassa-327	101	32	analytical	analytical	ADJ
ijassa-327	101	33	mechanics	mechanic	NOUN
ijassa-327	101	34	.	.	PUNCT
ijassa-327	102	1	the	the	DET
ijassa-327	102	2	major	major	ADJ
ijassa-327	102	3	theory	theory	NOUN
ijassa-327	102	4	of	of	ADP
ijassa-327	102	5	analytical	analytical	ADJ
ijassa-327	102	6	mechanics	mechanic	NOUN
ijassa-327	102	7	is	be	AUX
ijassa-327	102	8	deduced	deduce	VERB
ijassa-327	102	9	according	accord	VERB
ijassa-327	102	10	to	to	ADP
ijassa-327	102	11	the	the	DET
ijassa-327	102	12	necessary	necessary	ADJ
ijassa-327	102	13	condition	condition	NOUN
ijassa-327	102	14	for	for	ADP
ijassa-327	102	15	arbitrary	arbitrary	ADJ
ijassa-327	102	16	function	function	NOUN
ijassa-327	102	17	extreme	extreme	ADJ
ijassa-327	102	18	,	,	PUNCT
ijassa-327	102	19	such	such	ADJ
ijassa-327	102	20	as	as	ADP
ijassa-327	102	21	hamilton	hamilton	PROPN
ijassa-327	102	22	’s	’s	PART
ijassa-327	102	23	principle	principle	PROPN
ijassa-327	102	24	and	and	CCONJ
ijassa-327	102	25	lagrange	lagrange	PROPN
ijassa-327	102	26	equation	equation	NOUN
ijassa-327	102	27	.	.	PUNCT
ijassa-327	103	1	advances	advance	NOUN
ijassa-327	103	2	in	in	ADP
ijassa-327	103	3	systems	system	NOUN
ijassa-327	103	4	science	science	NOUN
ijassa-327	103	5	and	and	CCONJ
ijassa-327	103	6	applications	application	NOUN
ijassa-327	103	7	(	(	PUNCT
ijassa-327	103	8	2011	2011	NUM
ijassa-327	103	9	)	)	PUNCT
ijassa-327	103	10	,	,	PUNCT
ijassa-327	103	11	vol.11	vol.11	PROPN
ijassa-327	103	12	,	,	PUNCT
ijassa-327	103	13	no.3	no.3	NOUN
ijassa-327	103	14	-	-	SYM
ijassa-327	103	15	4	4	NUM
ijassa-327	103	16	335	335	NUM
ijassa-327	103	17	a	a	DET
ijassa-327	103	18	x	x	X
ijassa-327	103	19	y	y	PROPN
ijassa-327	103	20	z	z	PROPN
ijassa-327	104	1	d	d	PROPN
ijassa-327	104	2	b	b	PROPN
ijassa-327	104	3	c	c	NOUN
ijassa-327	104	4	m	m	VERB
ijassa-327	104	5	ω	ω	NOUN
ijassa-327	104	6	θ	θ	PROPN
ijassa-327	104	7	φ	φ	PROPN
ijassa-327	104	8	m	m	PROPN
ijassa-327	104	9	m	m	PROPN
ijassa-327	104	10	hamilton	hamilton	PROPN
ijassa-327	104	11	’s	’s	PART
ijassa-327	104	12	principle	principle	NOUN
ijassa-327	104	13	focuses	focus	VERB
ijassa-327	104	14	on	on	ADP
ijassa-327	104	15	energy	energy	NOUN
ijassa-327	104	16	arbitrary	arbitrary	ADJ
ijassa-327	104	17	function	function	NOUN
ijassa-327	104	18	composed	compose	VERB
ijassa-327	104	19	of	of	ADP
ijassa-327	104	20	general	general	ADJ
ijassa-327	104	21	displacement	displacement	NOUN
ijassa-327	104	22	and	and	CCONJ
ijassa-327	104	23	its	its	PRON
ijassa-327	104	24	derivative	derivative	ADJ
ijassa-327	104	25	,	,	PUNCT
ijassa-327	104	26	time	time	NOUN
ijassa-327	104	27	and	and	CCONJ
ijassa-327	104	28	so	so	ADV
ijassa-327	104	29	on	on	ADV
ijassa-327	104	30	.	.	PUNCT
ijassa-327	105	1	if	if	SCONJ
ijassa-327	105	2	the	the	DET
ijassa-327	105	3	constraint	constraint	NOUN
ijassa-327	105	4	is	be	AUX
ijassa-327	105	5	ideal	ideal	ADJ
ijassa-327	105	6	and	and	CCONJ
ijassa-327	105	7	complete	complete	ADJ
ijassa-327	105	8	,	,	PUNCT
ijassa-327	105	9	and	and	CCONJ
ijassa-327	105	10	the	the	DET
ijassa-327	105	11	conservative	conservative	ADJ
ijassa-327	105	12	force	force	NOUN
ijassa-327	105	13	is	be	AUX
ijassa-327	105	14	drive	drive	ADJ
ijassa-327	105	15	force	force	NOUN
ijassa-327	105	16	,	,	PUNCT
ijassa-327	105	17	the	the	DET
ijassa-327	105	18	real	real	ADJ
ijassa-327	105	19	motion	motion	NOUN
ijassa-327	105	20	is	be	AUX
ijassa-327	105	21	the	the	DET
ijassa-327	105	22	motion	motion	NOUN
ijassa-327	105	23	which	which	PRON
ijassa-327	105	24	makes	make	VERB
ijassa-327	105	25	get	get	VERB
ijassa-327	105	26	exrtreme	exrtreme	ADJ
ijassa-327	105	27	value	value	NOUN
ijassa-327	105	28	.	.	PUNCT
ijassa-327	106	1	(	(	PUNCT
ijassa-327	106	2	)	)	PUNCT
ijassa-327	106	3	(	(	PUNCT
ijassa-327	106	4	)	)	PUNCT
ijassa-327	106	5	(	(	PUNCT
ijassa-327	106	6	)	)	PUNCT
ijassa-327	106	7	(	(	PUNCT
ijassa-327	106	8	)	)	PUNCT
ijassa-327	106	9	[	[	PUNCT
ijassa-327	106	10	]	]	X
ijassa-327	106	11	ttqv	ttqv	NUM
ijassa-327	106	12	-	-	PUNCT
ijassa-327	106	13	t	t	NOUN
ijassa-327	106	14	,	,	PUNCT
ijassa-327	106	15	qq	qq	X
ijassa-327	106	16	,	,	PUNCT
ijassa-327	106	17	ttt	ttt	PROPN
ijassa-327	106	18	,	,	PUNCT
ijassa-327	106	19	qqlqs	qqlqs	PROPN
ijassa-327	106	20	t	t	PROPN
ijassa-327	106	21	t	t	PROPN
ijassa-327	106	22	t	t	PROPN
ijassa-327	106	23	t	t	PROPN
ijassa-327	107	1	d	d	PROPN
ijassa-327	107	2	,	,	PUNCT
ijassa-327	107	3	d	d	PROPN
ijassa-327	107	4	,	,	PUNCT
ijassa-327	107	5	2	2	NUM
ijassa-327	107	6	1	1	NUM
ijassa-327	107	7	2	2	NUM
ijassa-327	107	8	1	1	NUM
ijassa-327	107	9	∫∫	∫∫	NOUN
ijassa-327	107	10	′=′=	′=′=	NOUN
ijassa-327	107	11	if	if	SCONJ
ijassa-327	107	12	the	the	DET
ijassa-327	107	13	function	function	NOUN
ijassa-327	107	14	which	which	PRON
ijassa-327	107	15	makes	make	VERB
ijassa-327	107	16	arbitrary	arbitrary	ADJ
ijassa-327	107	17	function	function	NOUN
ijassa-327	107	18	s(q	s(q	NOUN
ijassa-327	107	19	)	)	PUNCT
ijassa-327	107	20	get	get	VERB
ijassa-327	107	21	extremum	extremum	ADJ
ijassa-327	107	22	is	be	AUX
ijassa-327	107	23	existing	exist	VERB
ijassa-327	107	24	and	and	CCONJ
ijassa-327	107	25	exclusive	exclusive	ADJ
ijassa-327	107	26	,	,	PUNCT
ijassa-327	107	27	according	accord	VERB
ijassa-327	107	28	to	to	ADP
ijassa-327	107	29	arbitrary	arbitrary	ADJ
ijassa-327	107	30	function	function	NOUN
ijassa-327	107	31	differential	differential	NOUN
ijassa-327	107	32	theory	theory	NOUN
ijassa-327	107	33	,	,	PUNCT
ijassa-327	107	34	the	the	DET
ijassa-327	107	35	necessary	necessary	ADJ
ijassa-327	107	36	condition	condition	NOUN
ijassa-327	107	37	equivalent	equivalent	ADJ
ijassa-327	107	38	to	to	ADP
ijassa-327	107	39	arbitrary	arbitrary	ADJ
ijassa-327	107	40	function	function	NOUN
ijassa-327	107	41	extremum	extremum	ADJ
ijassa-327	107	42	is	be	AUX
ijassa-327	107	43	:	:	PUNCT
ijassa-327	107	44	0	0	NUM
ijassa-327	107	45	q	q	PUNCT
ijassa-327	107	46	l	l	NOUN
ijassa-327	107	47	q	q	PUNCT
ijassa-327	107	48	l	l	NOUN
ijassa-327	107	49	t	t	NOUN
ijassa-327	107	50	aa	aa	NOUN
ijassa-327	107	51	=	=	SYM
ijassa-327	107	52	∂	∂	NUM
ijassa-327	107	53	∂	∂	NUM
ijassa-327	107	54	−⎟⎟	−⎟⎟	NUM
ijassa-327	107	55	⎠	⎠	NOUN
ijassa-327	107	56	⎞	⎞	NOUN
ijassa-327	107	57	⎜⎜	⎜⎜	NOUN
ijassa-327	107	58	⎝	⎝	PUNCT
ijassa-327	107	59	⎛	⎛	NOUN
ijassa-327	107	60	′∂	′∂	NOUN
ijassa-327	107	61	∂	∂	NOUN
ijassa-327	108	1	d	d	X
ijassa-327	108	2	d	d	PROPN
ijassa-327	108	3	this	this	PRON
ijassa-327	108	4	is	be	AUX
ijassa-327	108	5	called	call	VERB
ijassa-327	108	6	lagrange	lagrange	NOUN
ijassa-327	108	7	equations	equation	NOUN
ijassa-327	108	8	set	set	VERB
ijassa-327	108	9	[	[	PUNCT
ijassa-327	108	10	5	5	NUM
ijassa-327	108	11	-	-	SYM
ijassa-327	108	12	6	6	NUM
ijassa-327	108	13	]	]	PUNCT
ijassa-327	108	14	.	.	PUNCT
ijassa-327	109	1	the	the	DET
ijassa-327	109	2	solution	solution	NOUN
ijassa-327	109	3	can	can	AUX
ijassa-327	109	4	be	be	AUX
ijassa-327	109	5	very	very	ADV
ijassa-327	109	6	easy	easy	ADJ
ijassa-327	109	7	and	and	CCONJ
ijassa-327	109	8	simple	simple	ADJ
ijassa-327	109	9	only	only	ADV
ijassa-327	109	10	by	by	ADP
ijassa-327	109	11	partial	partial	ADJ
ijassa-327	109	12	differential	differential	NOUN
ijassa-327	109	13	or	or	CCONJ
ijassa-327	109	14	differential	differential	NOUN
ijassa-327	109	15	.	.	PUNCT
ijassa-327	110	1	for	for	ADP
ijassa-327	110	2	example	example	NOUN
ijassa-327	110	3	:	:	PUNCT
ijassa-327	110	4	to	to	PART
ijassa-327	110	5	design	design	VERB
ijassa-327	110	6	a	a	DET
ijassa-327	110	7	centrifugal	centrifugal	ADJ
ijassa-327	110	8	governor	governor	NOUN
ijassa-327	110	9	shown	show	VERB
ijassa-327	110	10	in	in	ADP
ijassa-327	110	11	fig.1	fig.1	PROPN
ijassa-327	110	12	,	,	PUNCT
ijassa-327	110	13	a	a	DET
ijassa-327	110	14	slide	slide	NOUN
ijassa-327	110	15	c	c	NOUN
ijassa-327	110	16	with	with	ADP
ijassa-327	110	17	mass	mass	NOUN
ijassa-327	110	18	m	m	PROPN
ijassa-327	110	19	can	can	AUX
ijassa-327	110	20	slide	slide	VERB
ijassa-327	110	21	along	along	ADP
ijassa-327	110	22	a	a	DET
ijassa-327	110	23	vertical	vertical	ADJ
ijassa-327	110	24	axis	axis	NOUN
ijassa-327	110	25	,	,	PUNCT
ijassa-327	110	26	and	and	CCONJ
ijassa-327	110	27	the	the	DET
ijassa-327	110	28	whole	whole	ADJ
ijassa-327	110	29	system	system	NOUN
ijassa-327	110	30	can	can	AUX
ijassa-327	110	31	also	also	ADV
ijassa-327	110	32	rotate	rotate	VERB
ijassa-327	110	33	on	on	ADP
ijassa-327	110	34	this	this	DET
ijassa-327	110	35	axis	axis	NOUN
ijassa-327	110	36	.	.	PUNCT
ijassa-327	111	1	point	point	NOUN
ijassa-327	111	2	a	a	PRON
ijassa-327	111	3	is	be	AUX
ijassa-327	111	4	fixed	fix	VERB
ijassa-327	111	5	,	,	PUNCT
ijassa-327	111	6	point	point	NOUN
ijassa-327	111	7	b	b	NOUN
ijassa-327	111	8	and	and	CCONJ
ijassa-327	111	9	d	d	NOUN
ijassa-327	111	10	hinge	hinge	NOUN
ijassa-327	111	11	two	two	NUM
ijassa-327	111	12	particles	particle	NOUN
ijassa-327	111	13	with	with	ADP
ijassa-327	111	14	mass	mass	ADJ
ijassa-327	111	15	m.	m.	NOUN
ijassa-327	111	16	the	the	DET
ijassa-327	111	17	requirement	requirement	NOUN
ijassa-327	111	18	:	:	PUNCT
ijassa-327	111	19	when	when	SCONJ
ijassa-327	111	20	the	the	DET
ijassa-327	111	21	system	system	NOUN
ijassa-327	111	22	acquires	acquire	VERB
ijassa-327	111	23	stable	stable	ADJ
ijassa-327	111	24	angular	angular	ADJ
ijassa-327	111	25	velocity	velocity	NOUN
ijassa-327	111	26	ω	ω	PROPN
ijassa-327	111	27	,	,	PUNCT
ijassa-327	111	28	the	the	DET
ijassa-327	111	29	vibration	vibration	NOUN
ijassa-327	111	30	periodic	periodic	NOUN
ijassa-327	111	31	is	be	AUX
ijassa-327	111	32	t	t	NOUN
ijassa-327	111	33	,	,	PUNCT
ijassa-327	111	34	and	and	CCONJ
ijassa-327	111	35	determine	determine	VERB
ijassa-327	111	36	the	the	DET
ijassa-327	111	37	length	length	NOUN
ijassa-327	111	38	of	of	ADP
ijassa-327	111	39	lever	lever	NOUN
ijassa-327	111	40	a.	a.	NOUN
ijassa-327	111	41	solution	solution	NOUN
ijassa-327	111	42	:	:	PUNCT
ijassa-327	111	43	(	(	PUNCT
ijassa-327	111	44	1	1	X
ijassa-327	111	45	)	)	PUNCT
ijassa-327	111	46	list	list	NOUN
ijassa-327	111	47	laplace	laplace	NOUN
ijassa-327	111	48	equation	equation	NOUN
ijassa-327	111	49	:	:	PUNCT
ijassa-327	111	50	the	the	DET
ijassa-327	111	51	angle	angle	NOUN
ijassa-327	111	52	between	between	ADP
ijassa-327	111	53	plane	plane	NOUN
ijassa-327	111	54	abcd	abcd	NOUN
ijassa-327	111	55	and	and	CCONJ
ijassa-327	111	56	axis	axis	NOUN
ijassa-327	111	57	x	x	SYM
ijassa-327	111	58	isφ	isφ	NOUN
ijassa-327	111	59	,	,	PUNCT
ijassa-327	111	60	θ	θ	PROPN
ijassa-327	111	61	=	=	PUNCT
ijassa-327	111	62	dac∠	dac∠	ADJ
ijassa-327	111	63	,	,	PUNCT
ijassa-327	111	64	degree	degree	NOUN
ijassa-327	111	65	of	of	ADP
ijassa-327	111	66	freedom	freedom	NOUN
ijassa-327	111	67	f=2	f=2	PROPN
ijassa-327	111	68	.	.	PUNCT
ijassa-327	112	1	to	to	PART
ijassa-327	112	2	choose	choose	VERB
ijassa-327	112	3	θ	θ	PROPN
ijassa-327	112	4	,	,	PUNCT
ijassa-327	112	5	φ	φ	PROPN
ijassa-327	112	6	is	be	AUX
ijassa-327	112	7	generalized	generalized	ADJ
ijassa-327	112	8	coordinates	coordinate	NOUN
ijassa-327	112	9	,	,	PUNCT
ijassa-327	112	10	constraint	constraint	NOUN
ijassa-327	112	11	is	be	AUX
ijassa-327	112	12	ideal	ideal	ADJ
ijassa-327	112	13	and	and	CCONJ
ijassa-327	112	14	stable	stable	ADJ
ijassa-327	112	15	.	.	PUNCT
ijassa-327	113	1	the	the	DET
ijassa-327	113	2	cartesian	cartesian	ADJ
ijassa-327	113	3	coordinate	coordinate	NOUN
ijassa-327	113	4	of	of	ADP
ijassa-327	113	5	particle	particle	NOUN
ijassa-327	113	6	m	m	PROPN
ijassa-327	113	7	:	:	PUNCT
ijassa-327	113	8	φcosθ	φcosθ	ADP
ijassa-327	113	9	sinax	sinax	NOUN
ijassa-327	113	10	=	=	PUNCT
ijassa-327	114	1	θθ	θθ	NUM
ijassa-327	114	2	cossinay	cossinay	NOUN
ijassa-327	114	3	=	=	PUNCT
ijassa-327	115	1	θcosaz	θcosaz	PROPN
ijassa-327	115	2	=	=	PUNCT
ijassa-327	115	3	lagrange	lagrange	PROPN
ijassa-327	115	4	function	function	NOUN
ijassa-327	115	5	:	:	PUNCT
ijassa-327	115	6	(	(	PUNCT
ijassa-327	115	7	)	)	PUNCT
ijassa-327	115	8	(	(	PUNCT
ijassa-327	115	9	)	)	PUNCT
ijassa-327	115	10	(	(	PUNCT
ijassa-327	115	11	)	)	PUNCT
ijassa-327	115	12	(	(	PUNCT
ijassa-327	115	13	)	)	SYM
ijassa-327	115	14	2	2	NUM
ijassa-327	115	15	22	22	NUM
ijassa-327	115	16	2	2	NUM
ijassa-327	115	17	m	m	NOUN
ijassa-327	115	18	ml	ml	NOUN
ijassa-327	115	19	θ	θ	PROPN
ijassa-327	115	20	,	,	PUNCT
ijassa-327	115	21	φ	φ	PROPN
ijassa-327	115	22	,	,	PUNCT
ijassa-327	115	23	θ	θ	PROPN
ijassa-327	115	24	,	,	PUNCT
ijassa-327	115	25	φ	φ	PROPN
ijassa-327	115	26	2	2	NUM
ijassa-327	115	27	aθ	aθ	NOUN
ijassa-327	115	28	aφ	aφ	ADP
ijassa-327	115	29	sinθ	sinθ	PROPN
ijassa-327	115	30	4a	4a	NUM
ijassa-327	116	1	θ	θ	PROPN
ijassa-327	116	2	sinθ	sinθ	PROPN
ijassa-327	116	3	2mga	2mga	PROPN
ijassa-327	116	4	cosθ	cosθ	PROPN
ijassa-327	116	5	2mga	2mga	PROPN
ijassa-327	116	6	cosθ	cosθ	X
ijassa-327	116	7	2	2	NUM
ijassa-327	116	8	2	2	NUM
ijassa-327	116	9	⎡	⎡	NOUN
ijassa-327	116	10	⎤	⎤	PROPN
ijassa-327	116	11	⎡	⎡	NOUN
ijassa-327	116	12	⎤′	⎤′	PUNCT
ijassa-327	116	13	′	′	NUM
ijassa-327	116	14	′	′	NUM
ijassa-327	117	1	′	′	NUM
ijassa-327	118	1	′=	′=	PROPN
ijassa-327	118	2	+	+	PUNCT
ijassa-327	119	1	+	+	PUNCT
ijassa-327	120	1	+	+	PUNCT
ijassa-327	120	2	+	+	ADJ
ijassa-327	120	3	⎣	⎣	ADJ
ijassa-327	120	4	⎦	⎦	NOUN
ijassa-327	120	5	⎣	⎣	ADJ
ijassa-327	120	6	⎦	⎦	NOUN
ijassa-327	120	7	to	to	PART
ijassa-327	120	8	solve	solve	VERB
ijassa-327	120	9	partial	partial	ADJ
ijassa-327	120	10	derivative	derivative	NOUN
ijassa-327	120	11	:	:	PUNCT
ijassa-327	120	12	fig.1	fig.1	VERB
ijassa-327	120	13	the	the	DET
ijassa-327	120	14	vibration	vibration	NOUN
ijassa-327	120	15	periodic	periodic	ADJ
ijassa-327	120	16	design	design	NOUN
ijassa-327	120	17	of	of	ADP
ijassa-327	120	18	centrifugal	centrifugal	PROPN
ijassa-327	120	19	336	336	NUM
ijassa-327	120	20	jiang	jiang	PROPN
ijassa-327	120	21	:	:	PUNCT
ijassa-327	120	22	the	the	DET
ijassa-327	120	23	application	application	NOUN
ijassa-327	120	24	of	of	ADP
ijassa-327	120	25	norm	norm	ADJ
ijassa-327	120	26	functional	functional	ADJ
ijassa-327	120	27	multi	multi	ADJ
ijassa-327	120	28	-	-	ADJ
ijassa-327	120	29	dimensional	dimensional	ADJ
ijassa-327	120	30	space	space	NOUN
ijassa-327	120	31	theory	theory	NOUN
ijassa-327	120	32	in	in	ADP
ijassa-327	120	33	dynamic	dynamic	ADJ
ijassa-327	120	34	design	design	NOUN
ijassa-327	120	35	to	to	PART
ijassa-327	120	36	solve	solve	VERB
ijassa-327	120	37	partial	partial	ADJ
ijassa-327	120	38	derivative	derivative	NOUN
ijassa-327	120	39	and	and	CCONJ
ijassa-327	120	40	simplification	simplification	NOUN
ijassa-327	120	41	:	:	PUNCT
ijassa-327	120	42	θsinθma4θma2)φθφ	θsinθma4θma2)φθφ	ADP
ijassa-327	120	43	,	,	PUNCT
ijassa-327	120	44	θ,(l	θ,(l	X
ijassa-327	120	45	θ	θ	PROPN
ijassa-327	120	46	222	222	NUM
ijassa-327	120	47	′+′=′′	′+′=′′	VERB
ijassa-327	120	48	′∂	′∂	NOUN
ijassa-327	120	49	∂	∂	NUM
ijassa-327	120	50	lagrange	lagrange	NOUN
ijassa-327	120	51	equation	equation	NOUN
ijassa-327	120	52	:	:	PUNCT
ijassa-327	120	53	2	2	NUM
ijassa-327	120	54	2	2	NUM
ijassa-327	120	55	2	2	NUM
ijassa-327	120	56	2	2	NUM
ijassa-327	120	57	2	2	NUM
ijassa-327	120	58	2(2ma	2(2ma	NUM
ijassa-327	120	59	θ	θ	NOUN
ijassa-327	120	60	4ma	4ma	NOUN
ijassa-327	120	61	θ	θ	PROPN
ijassa-327	120	62	sin	sin	NOUN
ijassa-327	120	63	θ	θ	NOUN
ijassa-327	120	64	)	)	PUNCT
ijassa-327	120	65	(	(	PUNCT
ijassa-327	120	66	2mφ	2mφ	ADJ
ijassa-327	120	67	4mθ	4mθ	PROPN
ijassa-327	120	68	)	)	PUNCT
ijassa-327	120	69	a	a	DET
ijassa-327	120	70	cosθ	cosθ	X
ijassa-327	120	71	(	(	PUNCT
ijassa-327	120	72	2	2	NUM
ijassa-327	120	73	m	m	NUM
ijassa-327	120	74	2m)ga	2m)ga	ADJ
ijassa-327	120	75	sin	sin	NOUN
ijassa-327	120	76	θ	θ	PROPN
ijassa-327	120	77	t	t	NOUN
ijassa-327	120	78	d	d	X
ijassa-327	120	79	d	d	NOUN
ijassa-327	120	80	′	′	NOUN
ijassa-327	120	81	′	′	NUM
ijassa-327	120	82	′	′	NUM
ijassa-327	120	83	′⎡	′⎡	ADJ
ijassa-327	120	84	⎤+	⎤+	NUM
ijassa-327	120	85	=	=	PUNCT
ijassa-327	121	1	+	+	PUNCT
ijassa-327	121	2	+	+	ADJ
ijassa-327	121	3	⎣	⎣	ADJ
ijassa-327	121	4	⎦	⎦	NOUN
ijassa-327	121	5	(	(	PUNCT
ijassa-327	121	6	)	)	PUNCT
ijassa-327	121	7	(	(	PUNCT
ijassa-327	121	8	)	)	PUNCT
ijassa-327	121	9	(	(	PUNCT
ijassa-327	121	10	)	)	SYM
ijassa-327	121	11	2	2	NUM
ijassa-327	121	12	2	2	NUM
ijassa-327	121	13	2	2	NUM
ijassa-327	121	14	gm	gm	PROPN
ijassa-327	121	15	2	2	NUM
ijassa-327	121	16	m	m	NOUN
ijassa-327	121	17	sin	sin	NOUN
ijassa-327	121	18	θ	θ	NOUN
ijassa-327	121	19	θ	θ	NOUN
ijassa-327	121	20	mφ	mφ	ADP
ijassa-327	121	21	2mθ	2mθ	PROPN
ijassa-327	121	22	cosθm+m	cosθm+m	PROPN
ijassa-327	121	23	sinθ	sinθ	PROPN
ijassa-327	121	24	a	a	DET
ijassa-327	121	25	⎡	⎡	NOUN
ijassa-327	121	26	⎤′′	⎤′′	NOUN
ijassa-327	121	27	′	′	NUM
ijassa-327	121	28	′+	′+	PUNCT
ijassa-327	121	29	=	=	PUNCT
ijassa-327	121	30	−⎢	−⎢	PROPN
ijassa-327	121	31	⎥⎣	⎥⎣	PROPN
ijassa-327	121	32	⎦	⎦	NOUN
ijassa-327	121	33	（	（	PROPN
ijassa-327	121	34	2	2	NUM
ijassa-327	121	35	）	）	PUNCT
ijassa-327	121	36	to	to	PART
ijassa-327	121	37	solve	solve	VERB
ijassa-327	121	38	relatively	relatively	ADV
ijassa-327	121	39	balanced	balanced	ADJ
ijassa-327	121	40	condition	condition	NOUN
ijassa-327	121	41	and	and	CCONJ
ijassa-327	121	42	micro	micro	NOUN
ijassa-327	121	43	-	-	NOUN
ijassa-327	121	44	vibration	vibration	ADJ
ijassa-327	121	45	periodic	periodic	NOUN
ijassa-327	121	46	,	,	PUNCT
ijassa-327	121	47	the	the	DET
ijassa-327	121	48	system	system	NOUN
ijassa-327	121	49	rotates	rotate	VERB
ijassa-327	121	50	on	on	ADP
ijassa-327	121	51	vertical	vertical	ADJ
ijassa-327	121	52	axis	axis	NOUN
ijassa-327	121	53	at	at	ADP
ijassa-327	121	54	even	even	ADV
ijassa-327	121	55	angular	angular	ADJ
ijassa-327	121	56	velocity	velocity	NOUN
ijassa-327	121	57	ω	ω	PROPN
ijassa-327	121	58	,	,	PUNCT
ijassa-327	121	59	ωφ	ωφ	PROPN
ijassa-327	121	60	=	=	NOUN
ijassa-327	121	61	′	′	NUM
ijassa-327	121	62	,	,	PUNCT
ijassa-327	121	63	on	on	ADP
ijassa-327	121	64	balanced	balanced	ADJ
ijassa-327	121	65	position	position	NOUN
ijassa-327	121	66	:	:	PUNCT
ijassa-327	121	67	(	(	PUNCT
ijassa-327	121	68	)	)	PUNCT
ijassa-327	121	69	0	0	PUNCT
ijassa-327	122	1	a	a	DET
ijassa-327	122	2	gmmθcosmω2	gmmθcosmω2	NOUN
ijassa-327	123	1	=	=	NOUN
ijassa-327	123	2	⎥⎦	⎥⎦	NOUN
ijassa-327	123	3	⎤	⎤	PROPN
ijassa-327	123	4	⎢⎣	⎢⎣	PROPN
ijassa-327	123	5	⎡	⎡	VERB
ijassa-327	123	6	+	+	ADV
ijassa-327	123	7	−	−	VERB
ijassa-327	123	8	to	to	PART
ijassa-327	123	9	simplify	simplify	VERB
ijassa-327	123	10	,	,	PUNCT
ijassa-327	123	11	then	then	ADV
ijassa-327	123	12	:	:	PUNCT
ijassa-327	123	13	2	2	NUM
ijassa-327	123	14	2	2	NUM
ijassa-327	123	15	gm	gm	PROPN
ijassa-327	123	16	2mθ	2mθ	PROPN
ijassa-327	123	17	sin	sin	NOUN
ijassa-327	123	18	θ	θ	PROPN
ijassa-327	123	19	mω	mω	PROPN
ijassa-327	124	1	cosθ	cosθ	X
ijassa-327	124	2	(	(	PUNCT
ijassa-327	124	3	m	m	PROPN
ijassa-327	124	4	m	m	PROPN
ijassa-327	124	5	)	)	PUNCT
ijassa-327	124	6	sinθ	sinθ	VERB
ijassa-327	124	7	a	a	DET
ijassa-327	124	8	⎡	⎡	NOUN
ijassa-327	124	9	⎤′+	⎤′+	NOUN
ijassa-327	125	1	=	=	PUNCT
ijassa-327	126	1	−	−	ADP
ijassa-327	127	1	+	+	NOUN
ijassa-327	127	2	⎢	⎢	NOUN
ijassa-327	127	3	⎥⎣	⎥⎣	NOUN
ijassa-327	127	4	⎦	⎦	NOUN
ijassa-327	127	5	at	at	ADP
ijassa-327	127	6	balanced	balanced	ADJ
ijassa-327	127	7	position	position	NOUN
ijassa-327	127	8	:	:	PUNCT
ijassa-327	127	9	a	a	DET
ijassa-327	127	10	gmmθmω	gmmθmω	NOUN
ijassa-327	127	11	s	s	NOUN
ijassa-327	127	12	2	2	NUM
ijassa-327	127	13	)	)	PUNCT
ijassa-327	127	14	(	(	PUNCT
ijassa-327	127	15	cos	cos	PROPN
ijassa-327	127	16	+	+	NOUN
ijassa-327	127	17	=	=	ADJ
ijassa-327	127	18	solve	solve	NOUN
ijassa-327	127	19	angle	angle	NOUN
ijassa-327	127	20	sθ	sθ	NOUN
ijassa-327	127	21	,	,	PUNCT
ijassa-327	127	22	then	then	ADV
ijassa-327	127	23	put	put	VERB
ijassa-327	127	24	it	it	PRON
ijassa-327	127	25	into	into	ADP
ijassa-327	127	26	lagrange	lagrange	NOUN
ijassa-327	127	27	equation	equation	NOUN
ijassa-327	127	28	:	:	PUNCT
ijassa-327	127	29	[	[	PUNCT
ijassa-327	127	30	]	]	X
ijassa-327	127	31	θsin)θcosθ(cosmωθ)θsinm2	θsin)θcosθ(cosmωθ)θsinm2	PROPN
ijassa-327	127	32	m	m	PROPN
ijassa-327	127	33	(	(	PUNCT
ijassa-327	127	34	s	s	VERB
ijassa-327	127	35	22	22	NUM
ijassa-327	127	36	−=′′+	−=′′+	VERB
ijassa-327	127	37	by	by	ADP
ijassa-327	127	38	using	use	VERB
ijassa-327	127	39	formula	formula	NOUN
ijassa-327	127	40	:	:	PUNCT
ijassa-327	127	41	)	)	PUNCT
ijassa-327	127	42	2	2	NUM
ijassa-327	127	43	θθsin	θθsin	NOUN
ijassa-327	127	44	(	(	PUNCT
ijassa-327	127	45	)	)	PUNCT
ijassa-327	127	46	2	2	NUM
ijassa-327	127	47	θθsin(2θcosθcos	θθsin(2θcosθcos	PROPN
ijassa-327	127	48	ss	ss	PROPN
ijassa-327	127	49	s	s	PROPN
ijassa-327	127	50	−+	−+	PROPN
ijassa-327	127	51	−=−	−=−	NUM
ijassa-327	127	52	define	define	VERB
ijassa-327	127	53	sθθφ	sθθφ	NOUN
ijassa-327	127	54	−=	−=	NOUN
ijassa-327	127	55	,	,	PUNCT
ijassa-327	127	56	take	take	VERB
ijassa-327	127	57	micro	micro	ADJ
ijassa-327	127	58	-	-	ADJ
ijassa-327	127	59	vibration	vibration	ADJ
ijassa-327	127	60	approximation	approximation	NOUN
ijassa-327	127	61	:	:	PUNCT
ijassa-327	127	62	s	s	PART
ijassa-327	127	63	s	s	X
ijassa-327	127	64	θ	θ	NOUN
ijassa-327	127	65	2	2	NUM
ijassa-327	127	66	θθ	θθ	NOUN
ijassa-327	127	67	=	=	SYM
ijassa-327	127	68	+	+	NUM
ijassa-327	127	69	sss	sss	X
ijassa-327	127	70	θsinφ	θsinφ	ADV
ijassa-327	127	71	)	)	PUNCT
ijassa-327	127	72	2	2	NUM
ijassa-327	127	73	φsin(θsin2θcosθcos	φsin(θsin2θcosθco	NOUN
ijassa-327	127	74	−=−=−	−=−=−	NOUN
ijassa-327	127	75	define	define	VERB
ijassa-327	127	76	and	and	CCONJ
ijassa-327	127	77	set	set	VERB
ijassa-327	127	78	the	the	DET
ijassa-327	127	79	micro	micro	ADJ
ijassa-327	127	80	-	-	NOUN
ijassa-327	127	81	vibration	vibration	ADJ
ijassa-327	127	82	approximation	approximation	NOUN
ijassa-327	127	83	:	:	PUNCT
ijassa-327	127	84	[	[	PUNCT
ijassa-327	127	85	]	]	X
ijassa-327	127	86	ss	ss	NOUN
ijassa-327	127	87	2	2	NUM
ijassa-327	127	88	s	s	NOUN
ijassa-327	127	89	2	2	NUM
ijassa-327	127	90	θsin)φθsin(mωφ)θsinm2	θsin)φθsin(mωφ)θsinm2	PROPN
ijassa-327	127	91	m	m	PROPN
ijassa-327	127	92	(	(	PUNCT
ijassa-327	127	93	−=′′+	−=′′+	PROPN
ijassa-327	127	94	φ	φ	PROPN
ijassa-327	127	95	θsinm2	θsinm2	PROPN
ijassa-327	127	96	m	m	PROPN
ijassa-327	127	97	θsinmωφ	θsinmωφ	PROPN
ijassa-327	127	98	s	s	PART
ijassa-327	127	99	2	2	NUM
ijassa-327	127	100	s	s	NOUN
ijassa-327	127	101	22	22	NUM
ijassa-327	127	102	+	+	CCONJ
ijassa-327	127	103	−	−	PROPN
ijassa-327	127	104	=	=	PRON
ijassa-327	127	105	′′	′′	PROPN
ijassa-327	127	106	s	s	PART
ijassa-327	127	107	2	2	NUM
ijassa-327	127	108	s	s	PART
ijassa-327	127	109	22	22	NUM
ijassa-327	127	110	2	2	NUM
ijassa-327	127	111	θsinm2	θsinm2	NOUN
ijassa-327	127	112	m	m	NOUN
ijassa-327	127	113	θsinmωω	θsinmωω	NOUN
ijassa-327	127	114	+	+	X
ijassa-327	127	115	=	=	SYM
ijassa-327	127	116	micro	micro	ADJ
ijassa-327	127	117	-	-	NOUN
ijassa-327	127	118	vibration	vibration	ADJ
ijassa-327	127	119	frequency	frequency	NOUN
ijassa-327	127	120	:	:	PUNCT
ijassa-327	127	121	s	s	VERB
ijassa-327	127	122	2	2	NUM
ijassa-327	127	123	s	s	NOUN
ijassa-327	127	124	2	2	NUM
ijassa-327	127	125	θsin	θsin	NOUN
ijassa-327	127	126	m	m	NOUN
ijassa-327	127	127	m21	m21	X
ijassa-327	127	128	θsinωω	θsinωω	NOUN
ijassa-327	127	129	+	+	CCONJ
ijassa-327	127	130	=	=	SYM
ijassa-327	127	131	the	the	DET
ijassa-327	127	132	micro	micro	NOUN
ijassa-327	127	133	-	-	NOUN
ijassa-327	127	134	vibration	vibration	ADJ
ijassa-327	127	135	periodic	periodic	NOUN
ijassa-327	127	136	near	near	ADP
ijassa-327	127	137	the	the	DET
ijassa-327	127	138	balanced	balanced	ADJ
ijassa-327	127	139	position	position	NOUN
ijassa-327	127	140	is	be	AUX
ijassa-327	127	141	:	:	PUNCT
ijassa-327	127	142	advances	advance	NOUN
ijassa-327	127	143	in	in	ADP
ijassa-327	127	144	systems	system	NOUN
ijassa-327	127	145	science	science	NOUN
ijassa-327	127	146	and	and	CCONJ
ijassa-327	127	147	applications	application	NOUN
ijassa-327	127	148	(	(	PUNCT
ijassa-327	127	149	2011	2011	NUM
ijassa-327	127	150	)	)	PUNCT
ijassa-327	127	151	,	,	PUNCT
ijassa-327	127	152	vol.11	vol.11	PROPN
ijassa-327	127	153	,	,	PUNCT
ijassa-327	127	154	no.3	no.3	NOUN
ijassa-327	127	155	-	-	SYM
ijassa-327	127	156	4	4	NUM
ijassa-327	127	157	337	337	NUM
ijassa-327	127	158	s	s	NOUN
ijassa-327	127	159	2	2	NUM
ijassa-327	127	160	s	s	PART
ijassa-327	127	161	2	2	NUM
ijassa-327	127	162	θsin	θsin	NOUN
ijassa-327	127	163	θsin	θsin	NOUN
ijassa-327	127	164	m	m	PROPN
ijassa-327	127	165	m21	m21	PROPN
ijassa-327	127	166	ω	ω	PROPN
ijassa-327	127	167	2π	2π	PROPN
ijassa-327	127	168	ω	ω	PROPN
ijassa-327	127	169	π2	π2	X
ijassa-327	127	170	t	t	NOUN
ijassa-327	128	1	+	+	NOUN
ijassa-327	129	1	=	=	X
ijassa-327	129	2	=	=	NOUN
ijassa-327	129	3	solve	solve	NOUN
ijassa-327	129	4	:	:	PUNCT
ijassa-327	129	5	2	2	NUM
ijassa-327	129	6	1	1	NUM
ijassa-327	129	7	2	2	NUM
ijassa-327	129	8	s	s	NOUN
ijassa-327	129	9	m	m	VERB
ijassa-327	129	10	m	m	VERB
ijassa-327	129	11	2	2	NUM
ijassa-327	129	12	ωtθsin	ωtθsin	NOUN
ijassa-327	129	13	−	−	PROPN
ijassa-327	129	14	⎥	⎥	PROPN
ijassa-327	129	15	⎥	⎥	PROPN
ijassa-327	130	1	⎦	⎦	NOUN
ijassa-327	130	2	⎤	⎤	ADJ
ijassa-327	130	3	⎢	⎢	NOUN
ijassa-327	130	4	⎢	⎢	NOUN
ijassa-327	130	5	⎣	⎣	PROPN
ijassa-327	130	6	⎡	⎡	ADJ
ijassa-327	130	7	−⎟	−⎟	NUM
ijassa-327	130	8	⎠	⎠	NOUN
ijassa-327	130	9	⎞	⎞	NOUN
ijassa-327	130	10	⎜	⎜	PROPN
ijassa-327	130	11	⎝	⎝	PUNCT
ijassa-327	130	12	⎛=	⎛=	PROPN
ijassa-327	130	13	π	π	PROPN
ijassa-327	130	14	set	set	NOUN
ijassa-327	130	15	:	:	PUNCT
ijassa-327	130	16	0.6	0.6	NUM
ijassa-327	130	17	=	=	SYM
ijassa-327	130	18	t	t	X
ijassa-327	130	19	s	s	X
ijassa-327	130	20	，	，	PROPN
ijassa-327	130	21	3	3	NUM
ijassa-327	130	22	m	m	NOUN
ijassa-327	130	23	m	m	VERB
ijassa-327	130	24	=	=	NOUN
ijassa-327	130	25	，	，	SCONJ
ijassa-327	130	26	sω	sω	DET
ijassa-327	130	27	π10=	π10=	PROPN
ijassa-327	130	28	solve	solve	NOUN
ijassa-327	130	29	:	:	PUNCT
ijassa-327	130	30	by	by	ADP
ijassa-327	130	31	the	the	DET
ijassa-327	130	32	angle	angle	NOUN
ijassa-327	130	33	sθ	sθ	ADP
ijassa-327	130	34	at	at	ADP
ijassa-327	130	35	balanced	balanced	ADJ
ijassa-327	130	36	position	position	NOUN
ijassa-327	130	37	:	:	PUNCT
ijassa-327	130	38	0435.0	0435.0	NUM
ijassa-327	130	39	θcosω	θcosω	VERB
ijassa-327	130	40	g	g	PROPN
ijassa-327	130	41	m	m	PROPN
ijassa-327	130	42	m1	m1	PROPN
ijassa-327	130	43	a	a	DET
ijassa-327	130	44	s	s	NOUN
ijassa-327	130	45	2	2	NUM
ijassa-327	130	46	=	=	SYM
ijassa-327	130	47	⎟	⎟	X
ijassa-327	130	48	⎠	⎠	X
ijassa-327	130	49	⎞	⎞	VERB
ijassa-327	130	50	⎜	⎜	PROPN
ijassa-327	130	51	⎝	⎝	X
ijassa-327	130	52	⎛	⎛	NOUN
ijassa-327	130	53	+	+	X
ijassa-327	130	54	=	=	SYM
ijassa-327	130	55	（	（	PUNCT
ijassa-327	130	56	m	m	NOUN
ijassa-327	130	57	）	）	PUNCT
ijassa-327	130	58	by	by	ADP
ijassa-327	130	59	simple	simple	ADJ
ijassa-327	130	60	dynamic	dynamic	ADJ
ijassa-327	130	61	design	design	NOUN
ijassa-327	130	62	example	example	NOUN
ijassa-327	130	63	above	above	ADV
ijassa-327	130	64	,	,	PUNCT
ijassa-327	130	65	we	we	PRON
ijassa-327	130	66	know	know	VERB
ijassa-327	130	67	that	that	SCONJ
ijassa-327	130	68	according	accord	VERB
ijassa-327	130	69	to	to	ADP
ijassa-327	130	70	the	the	DET
ijassa-327	130	71	expression	expression	NOUN
ijassa-327	130	72	of	of	ADP
ijassa-327	130	73	micro	micro	ADJ
ijassa-327	130	74	-	-	NOUN
ijassa-327	130	75	vibration	vibration	ADJ
ijassa-327	130	76	periodic	periodic	NOUN
ijassa-327	130	77	,	,	PUNCT
ijassa-327	130	78	the	the	DET
ijassa-327	130	79	structure	structure	NOUN
ijassa-327	130	80	of	of	ADP
ijassa-327	130	81	a	a	DET
ijassa-327	130	82	centrifugal	centrifugal	ADJ
ijassa-327	130	83	governor	governor	NOUN
ijassa-327	130	84	which	which	PRON
ijassa-327	130	85	meets	meet	VERB
ijassa-327	130	86	dynamics	dynamic	NOUN
ijassa-327	130	87	requirements	requirement	NOUN
ijassa-327	130	88	can	can	AUX
ijassa-327	130	89	be	be	AUX
ijassa-327	130	90	produced	produce	VERB
ijassa-327	130	91	.	.	PUNCT
ijassa-327	131	1	the	the	DET
ijassa-327	131	2	step	step	NOUN
ijassa-327	131	3	is	be	AUX
ijassa-327	131	4	that	that	SCONJ
ijassa-327	131	5	based	base	VERB
ijassa-327	131	6	on	on	ADP
ijassa-327	131	7	the	the	DET
ijassa-327	131	8	physical	physical	ADJ
ijassa-327	131	9	characteristics	characteristic	NOUN
ijassa-327	131	10	of	of	ADP
ijassa-327	131	11	system	system	NOUN
ijassa-327	131	12	,	,	PUNCT
ijassa-327	131	13	to	to	PART
ijassa-327	131	14	describe	describe	VERB
ijassa-327	131	15	and	and	CCONJ
ijassa-327	131	16	establish	establish	VERB
ijassa-327	131	17	arbitrary	arbitrary	ADJ
ijassa-327	131	18	function	function	NOUN
ijassa-327	131	19	rule	rule	NOUN
ijassa-327	131	20	by	by	ADP
ijassa-327	131	21	choosing	choose	VERB
ijassa-327	131	22	motion	motion	NOUN
ijassa-327	131	23	parameters	parameter	NOUN
ijassa-327	131	24	,	,	PUNCT
ijassa-327	131	25	and	and	CCONJ
ijassa-327	131	26	to	to	PART
ijassa-327	131	27	deduce	deduce	VERB
ijassa-327	131	28	function	function	NOUN
ijassa-327	131	29	solution	solution	NOUN
ijassa-327	131	30	that	that	PRON
ijassa-327	131	31	is	be	AUX
ijassa-327	131	32	in	in	ADP
ijassa-327	131	33	accordance	accordance	NOUN
ijassa-327	131	34	with	with	ADP
ijassa-327	131	35	the	the	DET
ijassa-327	131	36	design	design	NOUN
ijassa-327	131	37	condition	condition	NOUN
ijassa-327	131	38	.	.	PUNCT
ijassa-327	132	1	it	it	PRON
ijassa-327	132	2	is	be	AUX
ijassa-327	132	3	different	different	ADJ
ijassa-327	132	4	from	from	ADP
ijassa-327	132	5	tradition	tradition	NOUN
ijassa-327	132	6	.	.	PUNCT
ijassa-327	133	1	this	this	DET
ijassa-327	133	2	design	design	NOUN
ijassa-327	133	3	is	be	AUX
ijassa-327	133	4	not	not	PART
ijassa-327	133	5	confined	confine	VERB
ijassa-327	133	6	to	to	ADP
ijassa-327	133	7	size	size	NOUN
ijassa-327	133	8	or	or	CCONJ
ijassa-327	133	9	three	three	NUM
ijassa-327	133	10	-	-	PUNCT
ijassa-327	133	11	dimension	dimension	NOUN
ijassa-327	133	12	any	any	PRON
ijassa-327	133	13	more	more	ADV
ijassa-327	133	14	,	,	PUNCT
ijassa-327	133	15	but	but	CCONJ
ijassa-327	133	16	dealing	deal	VERB
ijassa-327	133	17	with	with	ADP
ijassa-327	133	18	the	the	DET
ijassa-327	133	19	physical	physical	ADJ
ijassa-327	133	20	essence	essence	NOUN
ijassa-327	133	21	of	of	ADP
ijassa-327	133	22	system	system	NOUN
ijassa-327	133	23	directly	directly	ADV
ijassa-327	133	24	,	,	PUNCT
ijassa-327	133	25	choosing	choose	VERB
ijassa-327	133	26	parameters	parameter	NOUN
ijassa-327	133	27	flexibly	flexibly	ADV
ijassa-327	133	28	,	,	PUNCT
ijassa-327	133	29	establishing	establish	VERB
ijassa-327	133	30	arbitrary	arbitrary	ADJ
ijassa-327	133	31	function	function	NOUN
ijassa-327	133	32	rule	rule	NOUN
ijassa-327	133	33	and	and	CCONJ
ijassa-327	133	34	solving	solve	VERB
ijassa-327	133	35	it	it	PRON
ijassa-327	133	36	.	.	PUNCT
ijassa-327	134	1	compared	compare	VERB
ijassa-327	134	2	with	with	ADP
ijassa-327	134	3	traditional	traditional	ADJ
ijassa-327	134	4	die	die	NOUN
ijassa-327	134	5	forming	form	VERB
ijassa-327	134	6	and	and	CCONJ
ijassa-327	134	7	hard	hard	ADJ
ijassa-327	134	8	jig	jig	NOUN
ijassa-327	134	9	assemblies	assembly	NOUN
ijassa-327	134	10	,	,	PUNCT
ijassa-327	134	11	mpf	mpf	PROPN
ijassa-327	134	12	/	/	SYM
ijassa-327	134	13	mpp	mpp	PROPN
ijassa-327	134	14	can	can	AUX
ijassa-327	134	15	perform	perform	VERB
ijassa-327	134	16	in	in	ADP
ijassa-327	134	17	dieless	dieless	NOUN
ijassa-327	134	18	and	and	CCONJ
ijassa-327	134	19	jigless	jigless	ADJ
ijassa-327	134	20	manufacturing	manufacturing	NOUN
ijassa-327	134	21	.	.	PUNCT
ijassa-327	135	1	the	the	DET
ijassa-327	135	2	flexibility	flexibility	NOUN
ijassa-327	135	3	characteristic	characteristic	NOUN
ijassa-327	135	4	can	can	AUX
ijassa-327	135	5	be	be	AUX
ijassa-327	135	6	completely	completely	ADV
ijassa-327	135	7	shown	show	VERB
ijassa-327	135	8	by	by	ADP
ijassa-327	135	9	using	use	VERB
ijassa-327	135	10	active	active	ADJ
ijassa-327	135	11	elements	element	NOUN
ijassa-327	135	12	in	in	ADP
ijassa-327	135	13	the	the	DET
ijassa-327	135	14	eg	eg	NOUN
ijassa-327	135	15	of	of	ADP
ijassa-327	135	16	the	the	DET
ijassa-327	135	17	mpf	mpf	PROPN
ijassa-327	135	18	/	/	SYM
ijassa-327	135	19	mpp	mpp	PROPN
ijassa-327	135	20	tooling	tooling	NOUN
ijassa-327	135	21	.	.	PUNCT
ijassa-327	136	1	for	for	ADP
ijassa-327	136	2	example	example	NOUN
ijassa-327	136	3	,	,	PUNCT
ijassa-327	136	4	using	use	VERB
ijassa-327	136	5	mppf	mppf	NOUN
ijassa-327	136	6	tooling	tooling	NOUN
ijassa-327	136	7	,	,	PUNCT
ijassa-327	136	8	the	the	DET
ijassa-327	136	9	deformation	deformation	NOUN
ijassa-327	136	10	path	path	NOUN
ijassa-327	136	11	can	can	AUX
ijassa-327	136	12	be	be	AUX
ijassa-327	136	13	changed	change	VERB
ijassa-327	136	14	to	to	PART
ijassa-327	136	15	gain	gain	VERB
ijassa-327	136	16	the	the	DET
ijassa-327	136	17	best	good	ADJ
ijassa-327	136	18	loading	loading	NOUN
ijassa-327	136	19	for	for	ADP
ijassa-327	136	20	raising	raise	VERB
ijassa-327	136	21	the	the	DET
ijassa-327	136	22	formability	formability	NOUN
ijassa-327	136	23	limit	limit	NOUN
ijassa-327	136	24	through	through	ADP
ijassa-327	136	25	increases	increase	NOUN
ijassa-327	136	26	in	in	ADP
ijassa-327	136	27	the	the	DET
ijassa-327	136	28	contact	contact	NOUN
ijassa-327	136	29	area	area	NOUN
ijassa-327	136	30	between	between	ADP
ijassa-327	136	31	the	the	DET
ijassa-327	136	32	punches	punch	NOUN
ijassa-327	136	33	and	and	CCONJ
ijassa-327	136	34	the	the	DET
ijassa-327	136	35	sheet	sheet	NOUN
ijassa-327	136	36	,	,	PUNCT
ijassa-327	136	37	which	which	PRON
ijassa-327	136	38	changes	change	VERB
ijassa-327	136	39	the	the	DET
ijassa-327	136	40	loading	loading	NOUN
ijassa-327	136	41	condition	condition	NOUN
ijassa-327	136	42	.	.	PUNCT
ijassa-327	137	1	various	various	ADJ
ijassa-327	137	2	outputs	output	NOUN
ijassa-327	137	3	from	from	ADP
ijassa-327	137	4	a	a	DET
ijassa-327	137	5	3d	3d	NUM
ijassa-327	137	6	surface	surface	NOUN
ijassa-327	137	7	model	model	NOUN
ijassa-327	137	8	can	can	AUX
ijassa-327	137	9	be	be	AUX
ijassa-327	137	10	digitally	digitally	ADV
ijassa-327	137	11	used	use	VERB
ijassa-327	137	12	to	to	PART
ijassa-327	137	13	adjust	adjust	VERB
ijassa-327	137	14	the	the	DET
ijassa-327	137	15	eg	eg	NOUN
ijassa-327	137	16	using	use	VERB
ijassa-327	137	17	a	a	DET
ijassa-327	137	18	computer	computer	NOUN
ijassa-327	137	19	control	control	NOUN
ijassa-327	137	20	system	system	NOUN
ijassa-327	137	21	to	to	PART
ijassa-327	137	22	configure	configure	VERB
ijassa-327	137	23	the	the	DET
ijassa-327	137	24	surfaces	surface	NOUN
ijassa-327	137	25	of	of	ADP
ijassa-327	137	26	tools	tool	NOUN
ijassa-327	137	27	.	.	PUNCT
ijassa-327	138	1	by	by	ADP
ijassa-327	138	2	means	mean	NOUN
ijassa-327	138	3	of	of	ADP
ijassa-327	138	4	the	the	DET
ijassa-327	138	5	flexible	flexible	ADJ
ijassa-327	138	6	and	and	CCONJ
ijassa-327	138	7	digital	digital	ADJ
ijassa-327	138	8	characteristics	characteristic	NOUN
ijassa-327	138	9	of	of	ADP
ijassa-327	138	10	mpf	mpf	PROPN
ijassa-327	138	11	/	/	SYM
ijassa-327	138	12	mpp	mpp	PROPN
ijassa-327	138	13	,	,	PUNCT
ijassa-327	138	14	larger	large	ADJ
ijassa-327	138	15	and	and	CCONJ
ijassa-327	138	16	more	more	ADV
ijassa-327	138	17	complex	complex	ADJ
ijassa-327	138	18	panel	panel	NOUN
ijassa-327	138	19	parts	part	NOUN
ijassa-327	138	20	can	can	AUX
ijassa-327	138	21	be	be	AUX
ijassa-327	138	22	formed	form	VERB
ijassa-327	138	23	and	and	CCONJ
ijassa-327	138	24	assembled	assemble	VERB
ijassa-327	138	25	incrementally	incrementally	ADV
ijassa-327	138	26	and	and	CCONJ
ijassa-327	138	27	continuously	continuously	ADV
ijassa-327	138	28	with	with	ADP
ijassa-327	138	29	the	the	DET
ijassa-327	138	30	dt	dt	PROPN
ijassa-327	138	31	/	/	SYM
ijassa-327	138	32	jt	jt	PROPN
ijassa-327	138	33	system	system	NOUN
ijassa-327	138	34	.	.	PUNCT
ijassa-327	139	1	5.conclusion	5.conclusion	NUM
ijassa-327	139	2	to	to	PART
ijassa-327	139	3	describe	describe	VERB
ijassa-327	139	4	multi	multi	ADJ
ijassa-327	139	5	-	-	NOUN
ijassa-327	139	6	dimension	dimension	NOUN
ijassa-327	139	7	in	in	ADP
ijassa-327	139	8	mechanical	mechanical	ADJ
ijassa-327	139	9	design	design	NOUN
ijassa-327	139	10	with	with	ADP
ijassa-327	139	11	arbitrary	arbitrary	ADJ
ijassa-327	139	12	function	function	NOUN
ijassa-327	139	13	theory	theory	NOUN
ijassa-327	139	14	,	,	PUNCT
ijassa-327	139	15	the	the	DET
ijassa-327	139	16	selection	selection	NOUN
ijassa-327	139	17	of	of	ADP
ijassa-327	139	18	parameter	parameter	NOUN
ijassa-327	139	19	is	be	AUX
ijassa-327	139	20	not	not	PART
ijassa-327	139	21	geometry	geometry	NOUN
ijassa-327	139	22	size	size	NOUN
ijassa-327	139	23	,	,	PUNCT
ijassa-327	139	24	the	the	DET
ijassa-327	139	25	object	object	NOUN
ijassa-327	139	26	is	be	AUX
ijassa-327	139	27	not	not	PART
ijassa-327	139	28	geometrical	geometrical	ADJ
ijassa-327	139	29	body	body	NOUN
ijassa-327	139	30	,	,	PUNCT
ijassa-327	139	31	the	the	DET
ijassa-327	139	32	representation	representation	NOUN
ijassa-327	139	33	is	be	AUX
ijassa-327	139	34	not	not	PART
ijassa-327	139	35	limited	limit	VERB
ijassa-327	139	36	to	to	ADP
ijassa-327	139	37	three	three	NUM
ijassa-327	139	38	-	-	PUNCT
ijassa-327	139	39	dimension	dimension	NOUN
ijassa-327	139	40	figure	figure	NOUN
ijassa-327	139	41	any	any	PRON
ijassa-327	139	42	more	more	ADV
ijassa-327	139	43	,	,	PUNCT
ijassa-327	139	44	but	but	CCONJ
ijassa-327	139	45	to	to	PART
ijassa-327	139	46	build	build	VERB
ijassa-327	139	47	model	model	NOUN
ijassa-327	139	48	just	just	ADV
ijassa-327	139	49	according	accord	VERB
ijassa-327	139	50	to	to	ADP
ijassa-327	139	51	the	the	DET
ijassa-327	139	52	system	system	NOUN
ijassa-327	139	53	’s	’s	PART
ijassa-327	139	54	physical	physical	ADJ
ijassa-327	139	55	essence	essence	NOUN
ijassa-327	139	56	,	,	PUNCT
ijassa-327	139	57	and	and	CCONJ
ijassa-327	139	58	with	with	ADP
ijassa-327	139	59	diverse	diverse	ADJ
ijassa-327	139	60	expression	expression	NOUN
ijassa-327	139	61	,	,	PUNCT
ijassa-327	139	62	to	to	PART
ijassa-327	139	63	express	express	VERB
ijassa-327	139	64	different	different	ADJ
ijassa-327	139	65	kinds	kind	NOUN
ijassa-327	139	66	of	of	ADP
ijassa-327	139	67	parameter	parameter	NOUN
ijassa-327	139	68	at	at	ADP
ijassa-327	139	69	the	the	DET
ijassa-327	139	70	same	same	ADJ
ijassa-327	139	71	time	time	NOUN
ijassa-327	139	72	.	.	PUNCT
ijassa-327	140	1	the	the	DET
ijassa-327	140	2	design	design	NOUN
ijassa-327	140	3	is	be	AUX
ijassa-327	140	4	not	not	PART
ijassa-327	140	5	limited	limit	VERB
ijassa-327	140	6	to	to	ADP
ijassa-327	140	7	the	the	DET
ijassa-327	140	8	arrangement	arrangement	NOUN
ijassa-327	140	9	of	of	ADP
ijassa-327	140	10	three	three	NUM
ijassa-327	140	11	-	-	PUNCT
ijassa-327	140	12	dimensional	dimensional	ADJ
ijassa-327	140	13	figure	figure	NOUN
ijassa-327	140	14	,	,	PUNCT
ijassa-327	140	15	but	but	CCONJ
ijassa-327	140	16	to	to	PART
ijassa-327	140	17	analyze	analyze	VERB
ijassa-327	140	18	and	and	CCONJ
ijassa-327	140	19	compare	compare	VERB
ijassa-327	140	20	parameters	parameter	NOUN
ijassa-327	140	21	form	form	VERB
ijassa-327	140	22	different	different	ADJ
ijassa-327	140	23	design	design	NOUN
ijassa-327	140	24	field	field	NOUN
ijassa-327	140	25	with	with	ADP
ijassa-327	140	26	space	space	NOUN
ijassa-327	140	27	theory	theory	NOUN
ijassa-327	140	28	.	.	PUNCT
ijassa-327	141	1	by	by	ADP
ijassa-327	141	2	using	use	VERB
ijassa-327	141	3	normed	normed	ADJ
ijassa-327	141	4	function	function	NOUN
ijassa-327	141	5	,	,	PUNCT
ijassa-327	141	6	the	the	DET
ijassa-327	141	7	convergence	convergence	NOUN
ijassa-327	141	8	and	and	CCONJ
ijassa-327	141	9	extreme	extreme	ADJ
ijassa-327	141	10	problems	problem	NOUN
ijassa-327	141	11	of	of	ADP
ijassa-327	141	12	function	function	NOUN
ijassa-327	141	13	in	in	ADP
ijassa-327	141	14	banach	banach	NOUN
ijassa-327	141	15	space	space	NOUN
ijassa-327	141	16	can	can	AUX
ijassa-327	141	17	be	be	AUX
ijassa-327	141	18	discussed	discuss	VERB
ijassa-327	141	19	and	and	CCONJ
ijassa-327	141	20	designed	design	VERB
ijassa-327	141	21	.	.	PUNCT
ijassa-327	142	1	by	by	ADP
ijassa-327	142	2	utilizing	utilize	VERB
ijassa-327	142	3	hilbert	hilbert	NOUN
ijassa-327	142	4	space	space	NOUN
ijassa-327	142	5	,	,	PUNCT
ijassa-327	142	6	the	the	DET
ijassa-327	142	7	optimization	optimization	NOUN
ijassa-327	142	8	problem	problem	NOUN
ijassa-327	142	9	can	can	AUX
ijassa-327	142	10	be	be	AUX
ijassa-327	142	11	discussed	discuss	VERB
ijassa-327	142	12	.	.	PUNCT
ijassa-327	143	1	and	and	CCONJ
ijassa-327	143	2	by	by	ADP
ijassa-327	143	3	using	use	VERB
ijassa-327	143	4	differential	differential	ADJ
ijassa-327	143	5	operator	operator	NOUN
ijassa-327	143	6	,	,	PUNCT
ijassa-327	143	7	dynamic	dynamic	ADJ
ijassa-327	143	8	space	space	NOUN
ijassa-327	143	9	function	function	NOUN
ijassa-327	143	10	,	,	PUNCT
ijassa-327	143	11	derived	derive	VERB
ijassa-327	143	12	function	function	NOUN
ijassa-327	143	13	and	and	CCONJ
ijassa-327	143	14	optimized	optimize	VERB
ijassa-327	143	15	solution	solution	NOUN
ijassa-327	143	16	of	of	ADP
ijassa-327	143	17	parameter	parameter	NOUN
ijassa-327	143	18	can	can	AUX
ijassa-327	143	19	be	be	AUX
ijassa-327	143	20	solved	solve	VERB
ijassa-327	143	21	.	.	PUNCT
ijassa-327	144	1	to	to	PART
ijassa-327	144	2	sum	sum	VERB
ijassa-327	144	3	up	up	ADP
ijassa-327	144	4	,	,	PUNCT
ijassa-327	144	5	arbitrary	arbitrary	ADJ
ijassa-327	144	6	function	function	NOUN
ijassa-327	144	7	theory	theory	NOUN
ijassa-327	144	8	can	can	AUX
ijassa-327	144	9	solve	solve	VERB
ijassa-327	144	10	the	the	DET
ijassa-327	144	11	difficulty	difficulty	NOUN
ijassa-327	144	12	in	in	ADP
ijassa-327	144	13	dynamic	dynamic	ADJ
ijassa-327	144	14	design	design	NOUN
ijassa-327	144	15	,	,	PUNCT
ijassa-327	144	16	and	and	CCONJ
ijassa-327	144	17	facilitate	facilitate	VERB
ijassa-327	144	18	dynamic	dynamic	ADJ
ijassa-327	144	19	design	design	NOUN
ijassa-327	144	20	.	.	PUNCT
ijassa-327	145	1	acknowledgements	acknowledgement	NOUN
ijassa-327	145	2	=	=	X
ijassa-327	145	3	sθsin	sθsin	VERB
ijassa-327	145	4	0.4082	0.4082	NUM
ijassa-327	145	5	，	，	PUNCT
ijassa-327	145	6	094924.θs	094924.θs	NOUN
ijassa-327	146	1	=	=	PUNCT
ijassa-327	146	2	a	a	DET
ijassa-327	146	3	gmmθmω	gmmθmω	NOUN
ijassa-327	146	4	s	s	NOUN
ijassa-327	146	5	2	2	NUM
ijassa-327	146	6	)	)	PUNCT
ijassa-327	147	1	(	(	PUNCT
ijassa-327	147	2	)	)	PUNCT
ijassa-327	147	3	cos	cos	PROPN
ijassa-327	147	4	(	(	PUNCT
ijassa-327	147	5	+	+	ADJ
ijassa-327	147	6	=	=	SYM
ijassa-327	147	7	338	338	NUM
ijassa-327	147	8	jiang	jiang	NOUN
ijassa-327	147	9	:	:	PUNCT
ijassa-327	147	10	the	the	DET
ijassa-327	147	11	application	application	NOUN
ijassa-327	147	12	of	of	ADP
ijassa-327	147	13	norm	norm	ADJ
ijassa-327	147	14	functional	functional	ADJ
ijassa-327	147	15	multi	multi	ADJ
ijassa-327	147	16	-	-	ADJ
ijassa-327	147	17	dimensional	dimensional	ADJ
ijassa-327	147	18	space	space	NOUN
ijassa-327	147	19	theory	theory	NOUN
ijassa-327	147	20	in	in	ADP
ijassa-327	147	21	dynamic	dynamic	ADJ
ijassa-327	147	22	design	design	NOUN
ijassa-327	147	23	the	the	DET
ijassa-327	147	24	project	project	NOUN
ijassa-327	147	25	is	be	AUX
ijassa-327	147	26	funded	fund	VERB
ijassa-327	147	27	by	by	ADP
ijassa-327	147	28	the	the	DET
ijassa-327	147	29	sichuan	sichuan	PROPN
ijassa-327	147	30	educational	educational	PROPN
ijassa-327	147	31	commission	commission	PROPN
ijassa-327	147	32	in	in	ADP
ijassa-327	147	33	the	the	DET
ijassa-327	147	34	area	area	NOUN
ijassa-327	147	35	of	of	ADP
ijassa-327	147	36	nature	nature	NOUN
ijassa-327	147	37	science	science	NOUN
ijassa-327	147	38	(	(	PUNCT
ijassa-327	147	39	contract	contract	NOUN
ijassa-327	147	40	no	no	INTJ
ijassa-327	147	41	.	.	PROPN
ijassa-327	147	42	2004a163	2004a163	NUM
ijassa-327	147	43	)	)	PUNCT
ijassa-327	147	44	.	.	PUNCT
ijassa-327	148	1	references	reference	NOUN
ijassa-327	148	2	[	[	X
ijassa-327	148	3	1	1	NUM
ijassa-327	148	4	]	]	PUNCT
ijassa-327	148	5	a.	a.	NOUN
ijassa-327	148	6	illarramendi1	illarramendi1	PROPN
ijassa-327	148	7	,	,	PUNCT
ijassa-327	148	8	j.	j.	PROPN
ijassa-327	148	9	l.	l.	PROPN
ijassa-327	148	10	azpeitia1	azpeitia1	PROPN
ijassa-327	148	11	,	,	PUNCT
ijassa-327	148	12	r.	r.	PROPN
ijassa-327	148	13	bueno1，new	bueno1，new	PROPN
ijassa-327	148	14	control	control	NOUN
ijassa-327	148	15	techniques	technique	NOUN
ijassa-327	148	16	based	base	VERB
ijassa-327	148	17	on	on	ADP
ijassa-327	148	18	state	state	NOUN
ijassa-327	148	19	space	space	NOUN
ijassa-327	148	20	observers	observer	NOUN
ijassa-327	148	21	for	for	ADP
ijassa-327	148	22	improving	improve	VERB
ijassa-327	148	23	the	the	DET
ijassa-327	148	24	precision	precision	NOUN
ijassa-327	148	25	and	and	CCONJ
ijassa-327	148	26	dynamic	dynamic	ADJ
ijassa-327	148	27	behaviour	behaviour	NOUN
ijassa-327	148	28	of	of	ADP
ijassa-327	148	29	machine	machine	NOUN
ijassa-327	148	30	tools	tool	NOUN
ijassa-327	148	31	，	，	PUNCT
ijassa-327	148	32	annals	annal	NOUN
ijassa-327	148	33	of	of	ADP
ijassa-327	148	34	cirp，54/(1	cirp，54/(1	PROPN
ijassa-327	148	35	)	)	PUNCT
ijassa-327	148	36	(	(	PUNCT
ijassa-327	148	37	2005	2005	NUM
ijassa-327	148	38	)	)	PUNCT
ijassa-327	148	39	：	：	PUNCT
ijassa-327	148	40	632635	632635	NUM
ijassa-327	148	41	.	.	PUNCT
ijassa-327	149	1	[	[	X
ijassa-327	149	2	2	2	NUM
ijassa-327	149	3	]	]	SYM
ijassa-327	149	4	y.altintas.，k	y.altintas.，k	PROPN
ijassa-327	149	5	.	.	PUNCT
ijassa-327	149	6	eykorkmaz	eykorkmaz	NOUN
ijassa-327	149	7	.	.	PUNCT
ijassa-327	150	1	feedrate	feedrate	VERB
ijassa-327	150	2	optimization	optimization	NOUN
ijassa-327	150	3	for	for	ADP
ijassa-327	150	4	spline	spline	NOUN
ijassa-327	150	5	interpolation	interpolation	NOUN
ijassa-327	150	6	in	in	ADP
ijassa-327	150	7	high	high	ADJ
ijassa-327	150	8	speed	speed	NOUN
ijassa-327	150	9	machine	machine	NOUN
ijassa-327	150	10	tools[j]．	tools[j]．	PUNCT
ijassa-327	150	11	cirp	cirp	NOUN
ijassa-327	150	12	,	,	PUNCT
ijassa-327	150	13	52（1）(2003)：288	52（1）(2003)：288	NUM
ijassa-327	150	14	-	-	SYM
ijassa-327	150	15	305．	305．	NUM
ijassa-327	150	16	[	[	NOUN
ijassa-327	150	17	3	3	NUM
ijassa-327	150	18	]	]	PUNCT
ijassa-327	150	19	francois	francois	NOUN
ijassa-327	150	20	isnard	isnard	PROPN
ijassa-327	150	21	,	,	PUNCT
ijassa-327	150	22	gordon	gordon	PROPN
ijassa-327	150	23	dodds	dodd	VERB
ijassa-327	150	24	.	.	PUNCT
ijassa-327	151	1	dynamic	dynamic	ADJ
ijassa-327	151	2	positioning	positioning	NOUN
ijassa-327	151	3	ofclosed	ofclose	VERB
ijassa-327	151	4	chain	chain	NOUN
ijassa-327	151	5	robot	robot	NOUN
ijassa-327	151	6	mechanisms	mechanism	NOUN
ijassa-327	151	7	in	in	ADP
ijassa-327	151	8	virtual	virtual	ADJ
ijassa-327	151	9	reality	reality	NOUN
ijassa-327	151	10	environments	environment	NOUN
ijassa-327	151	11	.	.	PUNCT
ijassa-327	152	1	international	international	ADJ
ijassa-327	152	2	conference	conference	NOUN
ijassa-327	152	3	on	on	ADP
ijassa-327	152	4	intelligent	intelligent	ADJ
ijassa-327	152	5	robots	robot	NOUN
ijassa-327	152	6	and	and	CCONJ
ijassa-327	152	7	systems	system	NOUN
ijassa-327	152	8	,	,	PUNCT
ijassa-327	152	9	victoria	victoria	PROPN
ijassa-327	152	10	,	,	PUNCT
ijassa-327	152	11	b.	b.	PROPN
ijassa-327	152	12	c.	c.	PROPN
ijassa-327	152	13	,	,	PUNCT
ijassa-327	152	14	canada	canada	PROPN
ijassa-327	152	15	,	,	PUNCT
ijassa-327	152	16	1998	1998	NUM
ijassa-327	152	17	.	.	PUNCT
ijassa-327	153	1	[	[	X
ijassa-327	153	2	4	4	NUM
ijassa-327	153	3	]	]	X
ijassa-327	153	4	luokang	luokang	NOUN
ijassa-327	153	5	,	,	PUNCT
ijassa-327	153	6	xiongnan	xiongnan	PROPN
ijassa-327	153	7	the	the	DET
ijassa-327	153	8	structure	structure	NOUN
ijassa-327	153	9	identification	identification	NOUN
ijassa-327	153	10	of	of	ADP
ijassa-327	153	11	link	link	NOUN
ijassa-327	153	12	gear	gear	NOUN
ijassa-327	153	13	based	base	VERB
ijassa-327	153	14	on	on	ADP
ijassa-327	153	15	connected	connected	ADJ
ijassa-327	153	16	matrix	matrix	NOUN
ijassa-327	153	17	aggregtion	aggregtion	NOUN
ijassa-327	153	18	operation	operation	NOUN
ijassa-327	153	19	,	,	PUNCT
ijassa-327	153	20	sichuan	sichuan	PROPN
ijassa-327	153	21	industry	industry	PROPN
ijassa-327	153	22	technology	technology	PROPN
ijassa-327	153	23	college	college	NOUN
ijassa-327	153	24	scientific	scientific	ADJ
ijassa-327	153	25	journal	journal	NOUN
ijassa-327	153	26	,	,	PUNCT
ijassa-327	153	27	19	19	NUM
ijassa-327	153	28	(	(	PUNCT
ijassa-327	153	29	2	2	NUM
ijassa-327	153	30	)	)	PUNCT
ijassa-327	153	31	(	(	PUNCT
ijassa-327	153	32	2000	2000	NUM
ijassa-327	153	33	)	)	PUNCT
ijassa-327	154	1	35∶	35∶	NUM
ijassa-327	154	2	～	～	NOUN
ijassa-327	154	3	37	37	NUM
ijassa-327	154	4	.	.	PUNCT
ijassa-327	155	1	[	[	X
ijassa-327	155	2	5	5	X
ijassa-327	155	3	]	]	PUNCT
ijassa-327	155	4	wang	wang	PROPN
ijassa-327	155	5	shuang	shuang	PROPN
ijassa-327	155	6	.	.	PUNCT
ijassa-327	155	7	functional	functional	ADJ
ijassa-327	155	8	analysis	analysis	NOUN
ijassa-327	155	9	and	and	CCONJ
ijassa-327	155	10	optimization	optimization	NOUN
ijassa-327	155	11	theory	theory	NOUN
ijassa-327	155	12	[	[	X
ijassa-327	155	13	m	m	X
ijassa-327	155	14	]	]	X
ijassa-327	155	15	.	.	PUNCT
ijassa-327	156	1	beijing	beijing	PROPN
ijassa-327	156	2	:	:	PUNCT
ijassa-327	156	3	beijing	beijing	PROPN
ijassa-327	156	4	aerospace	aerospace	PROPN
ijassa-327	156	5	university	university	PROPN
ijassa-327	156	6	press	press	NOUN
ijassa-327	156	7	,	,	PUNCT
ijassa-327	156	8	2004	2004	NUM
ijassa-327	156	9	.	.	PUNCT
ijassa-327	157	1	[	[	X
ijassa-327	157	2	6	6	NUM
ijassa-327	157	3	]	]	PUNCT
ijassa-327	157	4	isnard	isnard	PROPN
ijassa-327	157	5	f	f	PROPN
ijassa-327	157	6	,	,	PUNCT
ijassa-327	157	7	dodds	dodds	PROPN
ijassa-327	157	8	g	g	PROPN
ijassa-327	157	9	,	,	PUNCT
ijassa-327	157	10	claude	claude	PROPN
ijassa-327	157	11	vallée	vallée	NOUN
ijassa-327	157	12	.	.	PUNCT
ijassa-327	158	1	efficient	efficient	ADJ
ijassa-327	158	2	multi	multi	ADJ
ijassa-327	158	3	arm	arm	NOUN
ijassa-327	158	4	closed	close	VERB
ijassa-327	158	5	chain	chain	NOUN
ijassa-327	158	6	dynamics	dynamic	NOUN
ijassa-327	158	7	computation	computation	NOUN
ijassa-327	158	8	for	for	ADP
ijassa-327	158	9	visualisation	visualisation	NOUN
ijassa-327	158	10	.	.	PUNCT
ijassa-327	159	1	international	international	ADJ
ijassa-327	159	2	conference	conference	NOUN
ijassa-327	159	3	on	on	ADP
ijassa-327	159	4	intelligent	intelligent	ADJ
ijassa-327	159	5	robots	robot	NOUN
ijassa-327	159	6	and	and	CCONJ
ijassa-327	159	7	sys2	sys2	VERB
ijassa-327	159	8	tems	tem	NOUN
ijassa-327	159	9	,	,	PUNCT
ijassa-327	159	10	grenoble	grenoble	ADJ
ijassa-327	159	11	,	,	PUNCT
ijassa-327	159	12	france	france	PROPN
ijassa-327	159	13	,	,	PUNCT
ijassa-327	159	14	1997	1997	NUM
ijassa-327	159	15	.	.	PUNCT