id	sid	tid	token	lemma	pos
ap-566	1	1	ap04_3web.vp	ap04_3web.vp	VERB
ap-566	1	2	1	1	NUM
ap-566	1	3	introduction	introduction	NOUN
ap-566	1	4	problems	problem	NOUN
ap-566	1	5	of	of	ADP
ap-566	1	6	structural	structural	ADJ
ap-566	1	7	optimization	optimization	NOUN
ap-566	1	8	and	and	CCONJ
ap-566	1	9	analysis	analysis	NOUN
ap-566	1	10	of	of	ADP
ap-566	1	11	stress	stress	NOUN
ap-566	1	12	and	and	CCONJ
ap-566	1	13	strain	strain	NOUN
ap-566	1	14	often	often	ADV
ap-566	1	15	lead	lead	VERB
ap-566	1	16	to	to	ADP
ap-566	1	17	the	the	DET
ap-566	1	18	function	function	NOUN
ap-566	1	19	optimization	optimization	NOUN
ap-566	1	20	problem	problem	NOUN
ap-566	1	21	of	of	ADP
ap-566	1	22	minimizing	minimize	VERB
ap-566	1	23	a	a	DET
ap-566	1	24	given	give	VERB
ap-566	1	25	functional	functional	ADJ
ap-566	1	26	subject	subject	NOUN
ap-566	1	27	to	to	ADP
ap-566	1	28	a	a	DET
ap-566	1	29	system	system	NOUN
ap-566	1	30	of	of	ADP
ap-566	1	31	differential	differential	ADJ
ap-566	1	32	equations	equation	NOUN
ap-566	1	33	and	and	CCONJ
ap-566	1	34	inequalities	inequality	NOUN
ap-566	1	35	with	with	ADP
ap-566	1	36	some	some	DET
ap-566	1	37	boundary	boundary	ADJ
ap-566	1	38	conditions	condition	NOUN
ap-566	1	39	,	,	PUNCT
ap-566	1	40	and	and	CCONJ
ap-566	1	41	a	a	DET
ap-566	1	42	system	system	NOUN
ap-566	1	43	of	of	ADP
ap-566	1	44	integral	integral	ADJ
ap-566	1	45	equations	equation	NOUN
ap-566	1	46	and	and	CCONJ
ap-566	1	47	inequalities	inequality	NOUN
ap-566	1	48	.	.	PUNCT
ap-566	2	1	this	this	DET
ap-566	2	2	class	class	NOUN
ap-566	2	3	of	of	ADP
ap-566	2	4	structural	structural	ADJ
ap-566	2	5	optimization	optimization	NOUN
ap-566	2	6	problems	problem	NOUN
ap-566	2	7	is	be	AUX
ap-566	2	8	called	call	VERB
ap-566	2	9	function	function	NOUN
ap-566	2	10	structural	structural	ADJ
ap-566	2	11	optimization	optimization	NOUN
ap-566	2	12	.	.	PUNCT
ap-566	3	1	the	the	DET
ap-566	3	2	branch	branch	NOUN
ap-566	3	3	of	of	ADP
ap-566	3	4	mathematics	mathematic	NOUN
ap-566	3	5	that	that	PRON
ap-566	3	6	deals	deal	VERB
ap-566	3	7	with	with	ADP
ap-566	3	8	this	this	DET
ap-566	3	9	problem	problem	NOUN
ap-566	3	10	is	be	AUX
ap-566	3	11	called	call	VERB
ap-566	3	12	variational	variational	ADJ
ap-566	3	13	calculus	calculus	NOUN
ap-566	3	14	.	.	PUNCT
ap-566	4	1	the	the	DET
ap-566	4	2	difficulty	difficulty	NOUN
ap-566	4	3	of	of	ADP
ap-566	4	4	solving	solve	VERB
ap-566	4	5	this	this	DET
ap-566	4	6	problem	problem	NOUN
ap-566	4	7	has	have	AUX
ap-566	4	8	led	lead	VERB
ap-566	4	9	to	to	ADP
ap-566	4	10	the	the	DET
ap-566	4	11	idea	idea	NOUN
ap-566	4	12	of	of	ADP
ap-566	4	13	transforming	transform	VERB
ap-566	4	14	the	the	DET
ap-566	4	15	given	give	VERB
ap-566	4	16	function	function	NOUN
ap-566	4	17	optimization	optimization	NOUN
ap-566	4	18	problem	problem	NOUN
ap-566	4	19	with	with	ADP
ap-566	4	20	the	the	DET
ap-566	4	21	galerkin	galerkin	ADJ
ap-566	4	22	method	method	NOUN
ap-566	4	23	(	(	PUNCT
ap-566	4	24	based	base	VERB
ap-566	4	25	on	on	ADP
ap-566	4	26	the	the	DET
ap-566	4	27	finite	finite	ADJ
ap-566	4	28	element	element	NOUN
ap-566	4	29	method	method	NOUN
ap-566	4	30	)	)	PUNCT
ap-566	4	31	to	to	ADP
ap-566	4	32	a	a	DET
ap-566	4	33	problem	problem	NOUN
ap-566	4	34	of	of	ADP
ap-566	4	35	parameter	parameter	NOUN
ap-566	4	36	optimization	optimization	NOUN
ap-566	4	37	.	.	PUNCT
ap-566	5	1	this	this	DET
ap-566	5	2	paper	paper	NOUN
ap-566	5	3	deals	deal	NOUN
ap-566	5	4	with	with	ADP
ap-566	5	5	both	both	DET
ap-566	5	6	function	function	NOUN
ap-566	5	7	optimization	optimization	NOUN
ap-566	5	8	and	and	CCONJ
ap-566	5	9	parameter	parameter	NOUN
ap-566	5	10	optimization	optimization	NOUN
ap-566	5	11	of	of	ADP
ap-566	5	12	laminate	laminate	ADJ
ap-566	5	13	plate	plate	NOUN
ap-566	5	14	stiffness	stiffness	NOUN
ap-566	5	15	.	.	PUNCT
ap-566	6	1	the	the	DET
ap-566	6	2	paper	paper	NOUN
ap-566	6	3	aims	aim	VERB
ap-566	6	4	to	to	PART
ap-566	6	5	express	express	VERB
ap-566	6	6	the	the	DET
ap-566	6	7	relation	relation	NOUN
ap-566	6	8	of	of	ADP
ap-566	6	9	a	a	DET
ap-566	6	10	measure	measure	NOUN
ap-566	6	11	of	of	ADP
ap-566	6	12	laminate	laminate	ADJ
ap-566	6	13	plate	plate	NOUN
ap-566	6	14	stiffness	stiffness	NOUN
ap-566	6	15	with	with	ADP
ap-566	6	16	respect	respect	NOUN
ap-566	6	17	to	to	ADP
ap-566	6	18	the	the	DET
ap-566	6	19	fiber	fiber	NOUN
ap-566	6	20	orientation	orientation	NOUN
ap-566	6	21	of	of	ADP
ap-566	6	22	its	its	PRON
ap-566	6	23	plies	ply	NOUN
ap-566	6	24	.	.	PUNCT
ap-566	7	1	the	the	DET
ap-566	7	2	inverse	inverse	NOUN
ap-566	7	3	of	of	ADP
ap-566	7	4	the	the	DET
ap-566	7	5	scalar	scalar	ADJ
ap-566	7	6	product	product	NOUN
ap-566	7	7	of	of	ADP
ap-566	7	8	the	the	DET
ap-566	7	9	lateral	lateral	ADJ
ap-566	7	10	displacement	displacement	NOUN
ap-566	7	11	of	of	ADP
ap-566	7	12	the	the	DET
ap-566	7	13	central	central	ADJ
ap-566	7	14	plane	plane	NOUN
ap-566	7	15	and	and	CCONJ
ap-566	7	16	the	the	DET
ap-566	7	17	lateral	lateral	ADJ
ap-566	7	18	loading	loading	NOUN
ap-566	7	19	of	of	ADP
ap-566	7	20	the	the	DET
ap-566	7	21	plate	plate	NOUN
ap-566	7	22	is	be	AUX
ap-566	7	23	the	the	DET
ap-566	7	24	measure	measure	NOUN
ap-566	7	25	of	of	ADP
ap-566	7	26	laminate	laminate	ADJ
ap-566	7	27	plate	plate	NOUN
ap-566	7	28	stiffness	stiffness	NOUN
ap-566	7	29	.	.	PUNCT
ap-566	8	1	in	in	ADP
ap-566	8	2	the	the	DET
ap-566	8	3	case	case	NOUN
ap-566	8	4	of	of	ADP
ap-566	8	5	a	a	DET
ap-566	8	6	simply	simply	ADV
ap-566	8	7	supported	support	VERB
ap-566	8	8	rectangular	rectangular	ADJ
ap-566	8	9	laminate	laminate	NOUN
ap-566	8	10	plate	plate	NOUN
ap-566	8	11	this	this	DET
ap-566	8	12	measure	measure	NOUN
ap-566	8	13	of	of	ADP
ap-566	8	14	stiffness	stiffness	NOUN
ap-566	8	15	is	be	AUX
ap-566	8	16	maximized	maximize	VERB
ap-566	8	17	,	,	PUNCT
ap-566	8	18	and	and	CCONJ
ap-566	8	19	the	the	DET
ap-566	8	20	optimum	optimum	ADJ
ap-566	8	21	orientation	orientation	NOUN
ap-566	8	22	of	of	ADP
ap-566	8	23	its	its	PRON
ap-566	8	24	plies	ply	NOUN
ap-566	8	25	is	be	AUX
ap-566	8	26	searched	search	VERB
ap-566	8	27	.	.	PUNCT
ap-566	9	1	we	we	PRON
ap-566	9	2	contemplate	contemplate	VERB
ap-566	9	3	the	the	DET
ap-566	9	4	problem	problem	NOUN
ap-566	9	5	of	of	ADP
ap-566	9	6	rectangular	rectangular	ADJ
ap-566	9	7	laminate	laminate	NOUN
ap-566	9	8	plate	plate	NOUN
ap-566	9	9	with	with	ADP
ap-566	9	10	common	common	ADJ
ap-566	9	11	but	but	CCONJ
ap-566	9	12	fixed	fix	VERB
ap-566	9	13	given	give	VERB
ap-566	9	14	dimensions	dimension	NOUN
ap-566	9	15	,	,	PUNCT
ap-566	9	16	number	number	NOUN
ap-566	9	17	of	of	ADP
ap-566	9	18	plies	ply	NOUN
ap-566	9	19	,	,	PUNCT
ap-566	9	20	thickness	thickness	NOUN
ap-566	9	21	of	of	ADP
ap-566	9	22	plies	ply	NOUN
ap-566	9	23	,	,	PUNCT
ap-566	9	24	mechanical	mechanical	ADJ
ap-566	9	25	properties	property	NOUN
ap-566	9	26	of	of	ADP
ap-566	9	27	orthotropic	orthotropic	ADJ
ap-566	9	28	plies	ply	NOUN
ap-566	9	29	and	and	CCONJ
ap-566	9	30	lateral	lateral	ADJ
ap-566	9	31	loading	loading	NOUN
ap-566	9	32	that	that	PRON
ap-566	9	33	is	be	AUX
ap-566	9	34	simply	simply	ADV
ap-566	9	35	suported	suporte	VERB
ap-566	9	36	on	on	ADP
ap-566	9	37	its	its	PRON
ap-566	9	38	boundary	boundary	NOUN
ap-566	9	39	with	with	ADP
ap-566	9	40	the	the	DET
ap-566	9	41	aim	aim	NOUN
ap-566	9	42	to	to	PART
ap-566	9	43	specify	specify	VERB
ap-566	9	44	an	an	DET
ap-566	9	45	orientation	orientation	NOUN
ap-566	9	46	of	of	ADP
ap-566	9	47	its	its	PRON
ap-566	9	48	plies	ply	NOUN
ap-566	9	49	that	that	PRON
ap-566	9	50	maximizes	maximize	VERB
ap-566	9	51	the	the	DET
ap-566	9	52	measure	measure	NOUN
ap-566	9	53	of	of	ADP
ap-566	9	54	stiffness	stiffness	NOUN
ap-566	9	55	,	,	PUNCT
ap-566	9	56	which	which	PRON
ap-566	9	57	is	be	AUX
ap-566	9	58	the	the	DET
ap-566	9	59	inverse	inverse	NOUN
ap-566	9	60	of	of	ADP
ap-566	9	61	the	the	DET
ap-566	9	62	measure	measure	NOUN
ap-566	9	63	of	of	ADP
ap-566	9	64	compliance	compliance	NOUN
ap-566	9	65	.	.	PUNCT
ap-566	10	1	the	the	DET
ap-566	10	2	measure	measure	NOUN
ap-566	10	3	of	of	ADP
ap-566	10	4	compliance	compliance	NOUN
ap-566	10	5	is	be	AUX
ap-566	10	6	given	give	VERB
ap-566	10	7	by	by	ADP
ap-566	10	8	the	the	DET
ap-566	10	9	scalar	scalar	ADJ
ap-566	10	10	product	product	NOUN
ap-566	10	11	of	of	ADP
ap-566	10	12	the	the	DET
ap-566	10	13	deflection	deflection	NOUN
ap-566	10	14	function	function	NOUN
ap-566	10	15	describing	describe	VERB
ap-566	10	16	the	the	DET
ap-566	10	17	deformed	deform	VERB
ap-566	10	18	middle	middle	ADJ
ap-566	10	19	plane	plane	NOUN
ap-566	10	20	of	of	ADP
ap-566	10	21	the	the	DET
ap-566	10	22	plate	plate	NOUN
ap-566	10	23	and	and	CCONJ
ap-566	10	24	the	the	DET
ap-566	10	25	lateral	lateral	ADJ
ap-566	10	26	loading	loading	NOUN
ap-566	10	27	over	over	ADP
ap-566	10	28	the	the	DET
ap-566	10	29	projection	projection	NOUN
ap-566	10	30	of	of	ADP
ap-566	10	31	the	the	DET
ap-566	10	32	plate	plate	NOUN
ap-566	10	33	into	into	ADP
ap-566	10	34	the	the	DET
ap-566	10	35	middle	middle	ADJ
ap-566	10	36	plane	plane	NOUN
ap-566	10	37	.	.	PUNCT
ap-566	11	1	we	we	PRON
ap-566	11	2	must	must	AUX
ap-566	11	3	search	search	VERB
ap-566	11	4	an	an	DET
ap-566	11	5	actual	actual	ADJ
ap-566	11	6	deformed	deform	VERB
ap-566	11	7	state	state	NOUN
ap-566	11	8	with	with	ADP
ap-566	11	9	respect	respect	NOUN
ap-566	11	10	to	to	ADP
ap-566	11	11	the	the	DET
ap-566	11	12	common	common	ADJ
ap-566	11	13	orientation	orientation	NOUN
ap-566	11	14	of	of	ADP
ap-566	11	15	the	the	DET
ap-566	11	16	plies	ply	NOUN
ap-566	11	17	.	.	PUNCT
ap-566	12	1	this	this	DET
ap-566	12	2	solution	solution	NOUN
ap-566	12	3	is	be	AUX
ap-566	12	4	used	use	VERB
ap-566	12	5	in	in	ADP
ap-566	12	6	the	the	DET
ap-566	12	7	above	above	ADJ
ap-566	12	8	expressed	express	VERB
ap-566	12	9	measure	measure	NOUN
ap-566	12	10	of	of	ADP
ap-566	12	11	compliance	compliance	NOUN
ap-566	12	12	,	,	PUNCT
ap-566	12	13	and	and	CCONJ
ap-566	12	14	the	the	DET
ap-566	12	15	minimum	minimum	NOUN
ap-566	12	16	of	of	ADP
ap-566	12	17	this	this	DET
ap-566	12	18	expression	expression	NOUN
ap-566	12	19	is	be	AUX
ap-566	12	20	searched	search	VERB
ap-566	12	21	.	.	PUNCT
ap-566	13	1	2	2	NUM
ap-566	13	2	preliminaries	preliminary	NOUN
ap-566	13	3	we	we	PRON
ap-566	13	4	contemplate	contemplate	VERB
ap-566	13	5	the	the	DET
ap-566	13	6	problem	problem	NOUN
ap-566	13	7	of	of	ADP
ap-566	13	8	a	a	DET
ap-566	13	9	rectangular	rectangular	ADJ
ap-566	13	10	laminate	laminate	NOUN
ap-566	13	11	plate	plate	NOUN
ap-566	13	12	with	with	ADP
ap-566	13	13	common	common	ADJ
ap-566	13	14	but	but	CCONJ
ap-566	13	15	given	give	VERB
ap-566	13	16	�	�	PROPN
ap-566	13	17	dimensions	dimension	NOUN
ap-566	13	18	�	�	PROPN
ap-566	13	19	number	number	NOUN
ap-566	13	20	of	of	ADP
ap-566	13	21	plies	ply	NOUN
ap-566	13	22	�	�	PROPN
ap-566	13	23	thickness	thickness	NOUN
ap-566	13	24	of	of	ADP
ap-566	13	25	plies	ply	NOUN
ap-566	13	26	�	�	PROPN
ap-566	13	27	mechanical	mechanical	ADJ
ap-566	13	28	properties	property	NOUN
ap-566	13	29	of	of	ADP
ap-566	13	30	orthotropic	orthotropic	ADJ
ap-566	13	31	plies	ply	NOUN
ap-566	13	32	�	�	PROPN
ap-566	13	33	lateral	lateral	ADJ
ap-566	13	34	loading	loading	NOUN
ap-566	13	35	that	that	PRON
ap-566	13	36	is	be	AUX
ap-566	13	37	simply	simply	ADV
ap-566	13	38	suported	suporte	VERB
ap-566	13	39	on	on	ADP
ap-566	13	40	its	its	PRON
ap-566	13	41	boundary	boundary	NOUN
ap-566	13	42	with	with	ADP
ap-566	13	43	the	the	DET
ap-566	13	44	aim	aim	NOUN
ap-566	13	45	of	of	ADP
ap-566	13	46	specifying	specify	VERB
ap-566	13	47	an	an	DET
ap-566	13	48	orientation	orientation	NOUN
ap-566	13	49	of	of	ADP
ap-566	13	50	its	its	PRON
ap-566	13	51	plies	ply	NOUN
ap-566	13	52	that	that	PRON
ap-566	13	53	maximizes	maximize	VERB
ap-566	13	54	the	the	DET
ap-566	13	55	measure	measure	NOUN
ap-566	13	56	of	of	ADP
ap-566	13	57	stiffness	stiffness	NOUN
ap-566	13	58	s	s	PART
ap-566	13	59	l	l	NOUN
ap-566	13	60	(	(	PUNCT
ap-566	13	61	)	)	PUNCT
ap-566	13	62	(	(	PUNCT
ap-566	13	63	)	)	PUNCT
ap-566	13	64	w	w	PROPN
ap-566	13	65	w	w	PROPN
ap-566	13	66	�	�	PROPN
ap-566	13	67	1	1	NUM
ap-566	13	68	where	where	SCONJ
ap-566	13	69	l	l	NOUN
ap-566	13	70	(	(	PUNCT
ap-566	13	71	)	)	PUNCT
ap-566	13	72	(	(	PUNCT
ap-566	13	73	,	,	PUNCT
ap-566	13	74	)	)	PUNCT
ap-566	13	75	(	(	PUNCT
ap-566	13	76	,	,	PUNCT
ap-566	13	77	)	)	PUNCT
ap-566	13	78	w	w	PROPN
ap-566	13	79	w	w	PROPN
ap-566	13	80	x	x	VERB
ap-566	13	81	y	y	NOUN
ap-566	13	82	q	q	NOUN
ap-566	13	83	x	x	X
ap-566	13	84	y	y	NOUN
ap-566	13	85	x	x	SYM
ap-566	13	86	y	y	PROPN
ap-566	13	87	�	�	PROPN
ap-566	13	88	�	�	PROPN
ap-566	13	89	d	d	PROPN
ap-566	13	90	d	d	X
ap-566	13	91	�	�	PROPN
ap-566	13	92	is	be	AUX
ap-566	13	93	the	the	DET
ap-566	13	94	measure	measure	NOUN
ap-566	13	95	of	of	ADP
ap-566	13	96	compliance	compliance	NOUN
ap-566	13	97	and	and	CCONJ
ap-566	13	98	where	where	SCONJ
ap-566	13	99	w(x	w(x	PROPN
ap-566	13	100	,	,	PUNCT
ap-566	13	101	y	y	PROPN
ap-566	13	102	)	)	PUNCT
ap-566	13	103	is	be	AUX
ap-566	13	104	the	the	DET
ap-566	13	105	deflection	deflection	NOUN
ap-566	13	106	function	function	NOUN
ap-566	13	107	describing	describe	VERB
ap-566	13	108	the	the	DET
ap-566	13	109	deformed	deform	VERB
ap-566	13	110	middle	middle	ADJ
ap-566	13	111	plane	plane	NOUN
ap-566	13	112	of	of	ADP
ap-566	13	113	the	the	DET
ap-566	13	114	plate	plate	NOUN
ap-566	13	115	,	,	PUNCT
ap-566	13	116	q(x	q(x	PROPN
ap-566	13	117	,	,	PUNCT
ap-566	13	118	y	y	NOUN
ap-566	13	119	)	)	PUNCT
ap-566	13	120	is	be	AUX
ap-566	13	121	the	the	DET
ap-566	13	122	lateral	lateral	ADJ
ap-566	13	123	loading	loading	NOUN
ap-566	13	124	,	,	PUNCT
ap-566	13	125	and	and	CCONJ
ap-566	13	126	�	�	PROPN
ap-566	13	127	is	be	AUX
ap-566	13	128	the	the	DET
ap-566	13	129	projection	projection	NOUN
ap-566	13	130	of	of	ADP
ap-566	13	131	the	the	DET
ap-566	13	132	plate	plate	NOUN
ap-566	13	133	into	into	ADP
ap-566	13	134	middle	middle	ADJ
ap-566	13	135	plane	plane	NOUN
ap-566	13	136	x	x	PROPN
ap-566	13	137	-	-	PUNCT
ap-566	13	138	y.	y.	ADJ
ap-566	13	139	we	we	PRON
ap-566	13	140	must	must	AUX
ap-566	13	141	search	search	VERB
ap-566	13	142	an	an	DET
ap-566	13	143	actual	actual	ADJ
ap-566	13	144	deformed	deform	VERB
ap-566	13	145	state	state	NOUN
ap-566	13	146	w	w	PROPN
ap-566	13	147	(	(	PUNCT
ap-566	13	148	�	�	PROPN
ap-566	13	149	)	)	PUNCT
ap-566	13	150	with	with	ADP
ap-566	13	151	respect	respect	NOUN
ap-566	13	152	to	to	ADP
ap-566	13	153	the	the	DET
ap-566	13	154	common	common	ADJ
ap-566	13	155	orientationof	orientationof	NOUN
ap-566	13	156	the	the	DET
ap-566	13	157	plies	ply	NOUN
ap-566	13	158	�	�	PROPN
ap-566	13	159	.	.	PUNCT
ap-566	14	1	this	this	DET
ap-566	14	2	solution	solution	NOUN
ap-566	14	3	is	be	AUX
ap-566	14	4	used	use	VERB
ap-566	14	5	in	in	ADP
ap-566	14	6	the	the	DET
ap-566	14	7	above	above	ADJ
ap-566	14	8	expressed	express	VERB
ap-566	14	9	measure	measure	NOUN
ap-566	14	10	of	of	ADP
ap-566	14	11	compliance	compliance	NOUN
ap-566	14	12	,	,	PUNCT
ap-566	14	13	and	and	CCONJ
ap-566	14	14	the	the	DET
ap-566	14	15	minimum	minimum	NOUN
ap-566	14	16	of	of	ADP
ap-566	14	17	this	this	DET
ap-566	14	18	expression	expression	NOUN
ap-566	14	19	is	be	AUX
ap-566	14	20	searched;	searched;	PROPN
ap-566	14	21	i.e.	i.e.	X
ap-566	14	22	we	we	PRON
ap-566	14	23	must	must	AUX
ap-566	14	24	solve	solve	VERB
ap-566	14	25	the	the	DET
ap-566	14	26	problem	problem	NOUN
ap-566	14	27	�	�	PROPN
ap-566	14	28	�	�	PROPN
ap-566	14	29	�	�	PROPN
ap-566	14	30	�	�	PROPN
ap-566	14	31	�	�	PROPN
ap-566	14	32	�	�	PROPN
ap-566	14	33	arg	arg	NOUN
ap-566	14	34	min	min	PROPN
ap-566	14	35	(	(	PUNCT
ap-566	14	36	)	)	PUNCT
ap-566	14	37	l	l	NOUN
ap-566	14	38	w	w	PROPN
ap-566	14	39	3	3	NUM
ap-566	14	40	common	common	ADJ
ap-566	14	41	rules	rule	NOUN
ap-566	14	42	it	it	PRON
ap-566	14	43	is	be	AUX
ap-566	14	44	well	well	ADV
ap-566	14	45	-	-	PUNCT
ap-566	14	46	known	know	VERB
ap-566	14	47	that	that	SCONJ
ap-566	14	48	an	an	DET
ap-566	14	49	actual	actual	ADJ
ap-566	14	50	deformed	deform	VERB
ap-566	14	51	state	state	NOUN
ap-566	14	52	minimizes	minimize	VERB
ap-566	14	53	the	the	DET
ap-566	14	54	potential	potential	ADJ
ap-566	14	55	energy	energy	NOUN
ap-566	14	56	�	�	PROPN
ap-566	14	57	�	�	PROPN
ap-566	14	58	�	�	PROPN
ap-566	14	59	u	u	PROPN
ap-566	14	60	u	u	PROPN
ap-566	14	61	u	u	X
ap-566	14	62	u	u	NOUN
ap-566	14	63	�	�	PROPN
ap-566	14	64	�	�	PROPN
ap-566	14	65	a	a	PRON
ap-566	14	66	,	,	PUNCT
ap-566	14	67	l	l	NOUN
ap-566	14	68	(	(	PUNCT
ap-566	14	69	)	)	PUNCT
ap-566	14	70	(	(	PUNCT
ap-566	14	71	)	)	PUNCT
ap-566	14	72	,	,	PUNCT
ap-566	14	73	where	where	SCONJ
ap-566	14	74	a	a	PRON
ap-566	14	75	,	,	PUNCT
ap-566	14	76	(	(	PUNCT
ap-566	14	77	)	)	PUNCT
ap-566	14	78	u	u	NOUN
ap-566	14	79	u	u	NOUN
ap-566	14	80	is	be	AUX
ap-566	14	81	elastic	elastic	ADJ
ap-566	14	82	potential	potential	ADJ
ap-566	14	83	energy	energy	NOUN
ap-566	14	84	�	�	PROPN
ap-566	14	85	�	�	PROPN
ap-566	14	86	�	�	PROPN
ap-566	14	87	�	�	PROPN
ap-566	14	88	a	a	PRON
ap-566	14	89	,	,	PUNCT
ap-566	14	90	eijkl	eijkl	PROPN
ap-566	14	91	ij	ij	X
ap-566	14	92	kl	kl	PROPN
ap-566	14	93	(	(	PUNCT
ap-566	14	94	)	)	PUNCT
ap-566	14	95	(	(	PUNCT
ap-566	14	96	)	)	PUNCT
ap-566	14	97	(	(	PUNCT
ap-566	14	98	)	)	PUNCT
ap-566	14	99	(	(	PUNCT
ap-566	14	100	)	)	PUNCT
ap-566	14	101	u	u	NOUN
ap-566	14	102	u	u	NOUN
ap-566	14	103	x	x	X
ap-566	14	104	u	u	X
ap-566	14	105	x	x	PROPN
ap-566	14	106	u	u	PROPN
ap-566	14	107	x	x	PROPN
ap-566	14	108	�	�	PROPN
ap-566	14	109	�	�	PROPN
ap-566	14	110	�	�	PROPN
ap-566	14	111	�	�	PROPN
ap-566	14	112	1	1	NUM
ap-566	14	113	2	2	NUM
ap-566	14	114	�	�	PROPN
ap-566	14	115	�	�	PROPN
ap-566	14	116	�	�	PROPN
ap-566	14	117	�	�	PROPN
ap-566	14	118	d	d	PROPN
ap-566	14	119	and	and	CCONJ
ap-566	14	120	l(u	l(u	PROPN
ap-566	14	121	)	)	PUNCT
ap-566	14	122	is	be	AUX
ap-566	14	123	potential	potential	ADJ
ap-566	14	124	energy	energy	NOUN
ap-566	14	125	of	of	ADP
ap-566	14	126	external	external	ADJ
ap-566	14	127	loads	load	NOUN
ap-566	14	128	l	l	NOUN
ap-566	15	1	p	p	X
ap-566	15	2	u	u	X
ap-566	15	3	t	t	X
ap-566	16	1	ui	ui	NOUN
ap-566	17	1	i	i	PRON
ap-566	17	2	i	i	PRON
ap-566	18	1	i	i	PRON
ap-566	18	2	t	t	X
ap-566	18	3	(	(	PUNCT
ap-566	18	4	)	)	PUNCT
ap-566	18	5	u	u	PROPN
ap-566	18	6	�	�	PROPN
ap-566	18	7	�	�	PROPN
ap-566	18	8	�	�	PROPN
ap-566	18	9	�	�	PROPN
ap-566	18	10	d	d	PROPN
ap-566	18	11	d	d	PROPN
ap-566	18	12	�	�	PROPN
ap-566	18	13	�	�	PROPN
ap-566	18	14	�	�	PROPN
ap-566	18	15	�	�	PROPN
ap-566	18	16	�	�	PROPN
ap-566	18	17	.	.	PUNCT
ap-566	19	1	it	it	PRON
ap-566	19	2	is	be	AUX
ap-566	19	3	also	also	ADV
ap-566	19	4	well	well	ADV
ap-566	19	5	-	-	PUNCT
ap-566	19	6	known	know	VERB
ap-566	19	7	that	that	SCONJ
ap-566	19	8	in	in	ADP
ap-566	19	9	the	the	DET
ap-566	19	10	actual	actual	ADJ
ap-566	19	11	state	state	NOUN
ap-566	19	12	�	�	PROPN
ap-566	19	13	u	u	NOUN
ap-566	19	14	the	the	DET
ap-566	19	15	potential	potential	ADJ
ap-566	19	16	energy	energy	NOUN
ap-566	19	17	�	�	PROPN
ap-566	19	18	has	have	VERB
ap-566	19	19	the	the	DET
ap-566	19	20	value	value	NOUN
ap-566	19	21	�	�	PROPN
ap-566	19	22	(	(	PUNCT
ap-566	19	23	�	�	PROPN
ap-566	19	24	)	)	PUNCT
ap-566	19	25	(	(	PUNCT
ap-566	19	26	�	�	NOUN
ap-566	19	27	)	)	PUNCT
ap-566	19	28	u	u	NOUN
ap-566	19	29	u	u	NOUN
ap-566	19	30	�	�	X
ap-566	19	31	�	�	PROPN
ap-566	19	32	1	1	NUM
ap-566	19	33	2	2	NUM
ap-566	19	34	0l	0l	NUM
ap-566	19	35	.	.	PUNCT
ap-566	20	1	hence	hence	ADV
ap-566	20	2	the	the	DET
ap-566	20	3	problem	problem	NOUN
ap-566	20	4	of	of	ADP
ap-566	20	5	maximizing	maximize	VERB
ap-566	20	6	the	the	DET
ap-566	20	7	stiffness	stiffness	ADJ
ap-566	20	8	measure	measure	NOUN
ap-566	20	9	is	be	AUX
ap-566	20	10	transformed	transform	VERB
ap-566	20	11	into	into	ADP
ap-566	20	12	the	the	DET
ap-566	20	13	problem	problem	NOUN
ap-566	20	14	of	of	ADP
ap-566	20	15	searching	search	VERB
ap-566	20	16	a	a	DET
ap-566	20	17	min	min	NOUN
ap-566	20	18	-	-	ADJ
ap-566	20	19	max	max	ADJ
ap-566	20	20	point	point	NOUN
ap-566	20	21	of	of	ADP
ap-566	20	22	the	the	DET
ap-566	20	23	potential	potential	ADJ
ap-566	20	24	energy	energy	NOUN
ap-566	20	25	�	�	PROPN
ap-566	20	26	�	�	PROPN
ap-566	20	27	�	�	PROPN
ap-566	20	28	�	�	PROPN
ap-566	20	29	�	�	PROPN
ap-566	20	30	arg	arg	PROPN
ap-566	20	31	max	max	PROPN
ap-566	20	32	min	min	PROPN
ap-566	20	33	(	(	PUNCT
ap-566	20	34	)	)	PUNCT
ap-566	20	35	(	(	PUNCT
ap-566	20	36	)	)	PUNCT
ap-566	20	37	e	e	X
ap-566	20	38	u	u	SYM
ap-566	20	39	u	u	VERB
ap-566	20	40	u	u	X
ap-566	20	41	u	u	X
ap-566	20	42	e	e	PROPN
ap-566	20	43	u	u	PROPN
ap-566	20	44	,	,	PUNCT
ap-566	20	45	a	a	DET
ap-566	20	46	,	,	PUNCT
ap-566	20	47	l	l	X
ap-566	20	48	�	�	PROPN
ap-566	20	49	�	�	PROPN
ap-566	20	50	�	�	PROPN
ap-566	20	51	�	�	PROPN
ap-566	20	52	e	e	NOUN
ap-566	20	53	u	u	NOUN
ap-566	20	54	.	.	PUNCT
ap-566	21	1	©	©	PROPN
ap-566	21	2	czech	czech	PROPN
ap-566	21	3	technical	technical	PROPN
ap-566	21	4	university	university	PROPN
ap-566	21	5	publishing	publishing	NOUN
ap-566	21	6	house	house	NOUN
ap-566	21	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-566	21	8	21	21	NUM
ap-566	21	9	acta	acta	PROPN
ap-566	21	10	polytechnica	polytechnica	PROPN
ap-566	21	11	vol	vol	NOUN
ap-566	21	12	.	.	PROPN
ap-566	22	1	44	44	NUM
ap-566	22	2	no	no	NOUN
ap-566	22	3	.	.	PUNCT
ap-566	23	1	3/2004	3/2004	NUM
ap-566	23	2	controlling	control	VERB
ap-566	23	3	laminate	laminate	NOUN
ap-566	23	4	plate	plate	NOUN
ap-566	23	5	elastic	elastic	ADJ
ap-566	23	6	behavior	behavior	NOUN
ap-566	23	7	t.	t.	NOUN
ap-566	23	8	mareš	mareš	PROPN
ap-566	23	9	this	this	DET
ap-566	23	10	paper	paper	NOUN
ap-566	23	11	aims	aim	VERB
ap-566	23	12	to	to	PART
ap-566	23	13	express	express	VERB
ap-566	23	14	the	the	DET
ap-566	23	15	relation	relation	NOUN
ap-566	23	16	of	of	ADP
ap-566	23	17	a	a	DET
ap-566	23	18	measure	measure	NOUN
ap-566	23	19	of	of	ADP
ap-566	23	20	laminate	laminate	ADJ
ap-566	23	21	plate	plate	NOUN
ap-566	23	22	stiffness	stiffness	NOUN
ap-566	23	23	with	with	ADP
ap-566	23	24	respect	respect	NOUN
ap-566	23	25	to	to	ADP
ap-566	23	26	the	the	DET
ap-566	23	27	fiber	fiber	NOUN
ap-566	23	28	orientation	orientation	NOUN
ap-566	23	29	of	of	ADP
ap-566	23	30	its	its	PRON
ap-566	23	31	plies	ply	NOUN
ap-566	23	32	.	.	PUNCT
ap-566	24	1	the	the	DET
ap-566	24	2	inverse	inverse	NOUN
ap-566	24	3	of	of	ADP
ap-566	24	4	the	the	DET
ap-566	24	5	scalar	scalar	ADJ
ap-566	24	6	product	product	NOUN
ap-566	24	7	of	of	ADP
ap-566	24	8	the	the	DET
ap-566	24	9	lateral	lateral	ADJ
ap-566	24	10	displacement	displacement	NOUN
ap-566	24	11	of	of	ADP
ap-566	24	12	the	the	DET
ap-566	24	13	central	central	ADJ
ap-566	24	14	plane	plane	NOUN
ap-566	24	15	and	and	CCONJ
ap-566	24	16	lateral	lateral	ADJ
ap-566	24	17	loading	loading	NOUN
ap-566	24	18	of	of	ADP
ap-566	24	19	the	the	DET
ap-566	24	20	plate	plate	NOUN
ap-566	24	21	is	be	AUX
ap-566	24	22	the	the	DET
ap-566	24	23	measure	measure	NOUN
ap-566	24	24	of	of	ADP
ap-566	24	25	laminate	laminate	ADJ
ap-566	24	26	plate	plate	NOUN
ap-566	24	27	stiffness	stiffness	NOUN
ap-566	24	28	.	.	PUNCT
ap-566	25	1	in	in	ADP
ap-566	25	2	the	the	DET
ap-566	25	3	case	case	NOUN
ap-566	25	4	of	of	ADP
ap-566	25	5	a	a	DET
ap-566	25	6	simply	simply	ADV
ap-566	25	7	supported	support	VERB
ap-566	25	8	rectangular	rectangular	ADJ
ap-566	25	9	laminate	laminate	NOUN
ap-566	25	10	plate	plate	NOUN
ap-566	25	11	this	this	DET
ap-566	25	12	measure	measure	NOUN
ap-566	25	13	of	of	ADP
ap-566	25	14	stiffness	stiffness	NOUN
ap-566	25	15	is	be	AUX
ap-566	25	16	maximized	maximize	VERB
ap-566	25	17	,	,	PUNCT
ap-566	25	18	and	and	CCONJ
ap-566	25	19	the	the	DET
ap-566	25	20	optimum	optimum	ADJ
ap-566	25	21	orientation	orientation	NOUN
ap-566	25	22	of	of	ADP
ap-566	25	23	its	its	PRON
ap-566	25	24	plies	ply	NOUN
ap-566	25	25	is	be	AUX
ap-566	25	26	searched	search	VERB
ap-566	25	27	.	.	PUNCT
ap-566	26	1	keywords	keyword	NOUN
ap-566	26	2	:	:	PUNCT
ap-566	26	3	mechanical	mechanical	ADJ
ap-566	26	4	properties	property	NOUN
ap-566	26	5	,	,	PUNCT
ap-566	26	6	laminate	laminate	NOUN
ap-566	26	7	,	,	PUNCT
ap-566	26	8	plate	plate	NOUN
ap-566	26	9	,	,	PUNCT
ap-566	26	10	composites	composite	NOUN
ap-566	26	11	.	.	PUNCT
ap-566	27	1	4	4	NUM
ap-566	27	2	formulation	formulation	NOUN
ap-566	27	3	of	of	ADP
ap-566	27	4	the	the	DET
ap-566	27	5	problem	problem	NOUN
ap-566	27	6	in	in	ADP
ap-566	27	7	the	the	DET
ap-566	27	8	case	case	NOUN
ap-566	27	9	introduced	introduce	VERB
ap-566	27	10	above	above	ADP
ap-566	27	11	there	there	PRON
ap-566	27	12	is	be	VERB
ap-566	27	13	the	the	DET
ap-566	27	14	problem	problem	NOUN
ap-566	27	15	�	�	PROPN
ap-566	27	16	�	�	PROPN
ap-566	27	17	,	,	PUNCT
ap-566	27	18	�	�	PROPN
ap-566	27	19	arg	arg	NOUN
ap-566	27	20	max	max	PROPN
ap-566	27	21	min	min	PROPN
ap-566	27	22	(	(	PUNCT
ap-566	27	23	,	,	PUNCT
ap-566	27	24	)	)	PUNCT
ap-566	27	25	w	w	PROPN
ap-566	27	26	w	w	PROPN
ap-566	27	27	w	w	PROPN
ap-566	27	28	�	�	PROPN
ap-566	27	29	�	�	PROPN
ap-566	27	30	�	�	PROPN
ap-566	27	31	�	�	PROPN
ap-566	27	32	�	�	PROPN
ap-566	27	33	�	�	PROPN
ap-566	28	1	a	a	DET
ap-566	28	2	w	w	PROPN
ap-566	28	3	�	�	PROPN
ap-566	28	4	,	,	PUNCT
ap-566	28	5	�	�	PROPN
ap-566	28	6	�	�	PROPN
ap-566	28	7	�	�	PROPN
ap-566	28	8	�	�	PROPN
ap-566	28	9	�	�	PROPN
ap-566	28	10	�	�	PROPN
ap-566	28	11	�	�	PROPN
ap-566	28	12	�	�	PROPN
ap-566	28	13	l	l	PROPN
ap-566	28	14	l	l	NOUN
ap-566	28	15	l	l	NOUN
ap-566	29	1	lim	lim	PROPN
ap-566	29	2	jn	jn	PROPN
ap-566	29	3	mnop	mnop	PROPN
ap-566	29	4	ko	ko	PROPN
ap-566	30	1	lp	lp	PROPN
ap-566	30	2	kl	kl	PROPN
ap-566	30	3	ij	ij	INTJ
ap-566	30	4	n	n	PROPN
ap-566	30	5	e	e	PROPN
ap-566	30	6	w	w	PROPN
ap-566	30	7	w	w	PROPN
ap-566	30	8	q	q	NOUN
ap-566	30	9	x	x	X
ap-566	30	10	y	y	PROPN
ap-566	30	11	wd	wd	PROPN
ap-566	30	12	1	1	NUM
ap-566	30	13	(	(	PUNCT
ap-566	30	14	,	,	PUNCT
ap-566	30	15	)	)	PUNCT
ap-566	30	16	(	(	PUNCT
ap-566	30	17	x	x	SYM
ap-566	30	18	y	y	PROPN
ap-566	30	19	,	,	PUNCT
ap-566	30	20	)	)	PUNCT
ap-566	31	1	d	d	X
ap-566	31	2	�	�	PROPN
ap-566	31	3	�	�	PROPN
ap-566	31	4	�	�	PROPN
ap-566	31	5	where	where	SCONJ
ap-566	31	6	emnop	emnop	NOUN
ap-566	31	7	is	be	AUX
ap-566	31	8	the	the	DET
ap-566	31	9	elasticity	elasticity	NOUN
ap-566	31	10	tensor	tensor	NOUN
ap-566	31	11	of	of	ADP
ap-566	31	12	-th	-th	ADJ
ap-566	31	13	orthotropic	orthotropic	ADJ
ap-566	31	14	ply	ply	NOUN
ap-566	31	15	and	and	CCONJ
ap-566	31	16	�	�	NOUN
ap-566	31	17	lik	lik	VERB
ap-566	31	18	i	i	PRON
ap-566	31	19	k	k	PROPN
ap-566	31	20	�	�	PROPN
ap-566	31	21	�	�	PROPN
ap-566	31	22	�	�	PROPN
ap-566	31	23	�	�	PROPN
ap-566	31	24	�	�	PROPN
ap-566	31	25	�	�	PROPN
ap-566	31	26	�	�	PROPN
ap-566	31	27	�	�	PROPN
ap-566	31	28	cos	cos	PROPN
ap-566	31	29	sin	sin	PROPN
ap-566	31	30	sin	sin	PROPN
ap-566	31	31	cos	cos	PROPN
ap-566	31	32	is	be	AUX
ap-566	31	33	the	the	DET
ap-566	31	34	tensor	tensor	NOUN
ap-566	31	35	of	of	ADP
ap-566	31	36	transformation	transformation	NOUN
ap-566	31	37	from	from	ADP
ap-566	31	38	the	the	DET
ap-566	31	39	local	local	ADJ
ap-566	31	40	coordinate	coordinate	NOUN
ap-566	31	41	system	system	NOUN
ap-566	31	42	of	of	ADP
ap-566	31	43	the	the	DET
ap-566	31	44	-th	-th	ADJ
ap-566	31	45	ply	ply	NOUN
ap-566	31	46	into	into	ADP
ap-566	31	47	the	the	DET
ap-566	31	48	global	global	ADJ
ap-566	31	49	coordinate	coordinate	NOUN
ap-566	31	50	system	system	NOUN
ap-566	31	51	.	.	PUNCT
ap-566	32	1	it	it	PRON
ap-566	32	2	is	be	AUX
ap-566	32	3	not	not	PART
ap-566	32	4	worthwhile	worthwhile	ADJ
ap-566	32	5	to	to	PART
ap-566	32	6	present	present	VERB
ap-566	32	7	the	the	DET
ap-566	32	8	way	way	NOUN
ap-566	32	9	of	of	ADP
ap-566	32	10	constructing	construct	VERB
ap-566	32	11	this	this	DET
ap-566	32	12	relation	relation	NOUN
ap-566	32	13	.	.	PUNCT
ap-566	33	1	5	5	NUM
ap-566	33	2	the	the	DET
ap-566	33	3	way	way	NOUN
ap-566	33	4	of	of	ADP
ap-566	33	5	resolving	resolve	VERB
ap-566	33	6	in	in	ADP
ap-566	33	7	this	this	DET
ap-566	33	8	work	work	NOUN
ap-566	33	9	the	the	DET
ap-566	33	10	method	method	NOUN
ap-566	33	11	of	of	ADP
ap-566	33	12	alternating	alternate	VERB
ap-566	33	13	fulfilment	fulfilment	NOUN
ap-566	33	14	of	of	ADP
ap-566	33	15	necessary	necessary	ADJ
ap-566	33	16	conditions	condition	NOUN
ap-566	33	17	was	be	AUX
ap-566	33	18	used	use	VERB
ap-566	33	19	:	:	PUNCT
ap-566	33	20	�	�	PROPN
ap-566	33	21	�	�	PROPN
ap-566	33	22	�	�	PROPN
ap-566	33	23	�	�	PROPN
ap-566	33	24	�	�	PROPN
ap-566	33	25	�	�	PROPN
ap-566	33	26	�	�	PROPN
ap-566	33	27	�	�	PROPN
ap-566	33	28	�	�	PROPN
ap-566	33	29	�	�	PROPN
ap-566	33	30	�	�	PROPN
ap-566	33	31	�	�	PROPN
ap-566	33	32	�	�	PROPN
ap-566	33	33	�	�	PROPN
ap-566	34	1	p	p	PROPN
ap-566	34	2	c	c	PROPN
ap-566	34	3	p	p	NOUN
ap-566	34	4	c	c	PROPN
ap-566	34	5	s	s	X
ap-566	34	6	p	p	X
ap-566	34	7	c	c	PROPN
ap-566	34	8	s1	s1	NOUN
ap-566	34	9	3	3	NUM
ap-566	34	10	2	2	NUM
ap-566	34	11	2	2	NUM
ap-566	34	12	1	1	NUM
ap-566	34	13	�	�	PROPN
ap-566	34	14	�	�	PROPN
ap-566	34	15	�	�	PROPN
ap-566	34	16	�	�	PROPN
ap-566	34	17	�	�	PROPN
ap-566	34	18	�	�	PROPN
ap-566	34	19	�	�	PROPN
ap-566	34	20	�	�	PROPN
ap-566	34	21	2	2	NUM
ap-566	34	22	,	,	PUNCT
ap-566	34	23	�	�	PROPN
ap-566	34	24	�	�	PROPN
ap-566	34	25	�	�	PROPN
ap-566	34	26	�	�	PROPN
ap-566	34	27	�	�	PROPN
ap-566	34	28	�	�	PROPN
ap-566	34	29	�	�	PROPN
ap-566	34	30	�	�	PROPN
ap-566	34	31	�	�	PROPN
ap-566	34	32	�	�	PROPN
ap-566	34	33	�	�	PROPN
ap-566	34	34	�	�	PROPN
ap-566	34	35	�	�	PROPN
ap-566	34	36	�	�	PROPN
ap-566	34	37	�	�	PROPN
ap-566	34	38	�	�	PROPN
ap-566	34	39	�	�	PROPN
ap-566	34	40	�	�	PROPN
ap-566	34	41	�	�	PROPN
ap-566	34	42	1	1	NUM
ap-566	34	43	4	4	NUM
ap-566	34	44	3	3	NUM
ap-566	34	45	5	5	NUM
ap-566	34	46	4	4	NUM
ap-566	34	47	1	1	NUM
ap-566	34	48	2	2	NUM
ap-566	34	49	n	n	NOUN
ap-566	34	50	p	p	NOUN
ap-566	34	51	c	c	NOUN
ap-566	34	52	s	s	PROPN
ap-566	34	53	p	p	X
ap-566	34	54	s	s	PROPN
ap-566	34	55	w	w	NOUN
ap-566	34	56	q	q	X
ap-566	34	57	(	(	PUNCT
ap-566	34	58	,	,	PUNCT
ap-566	34	59	,	,	PUNCT
ap-566	34	60	)	)	PUNCT
ap-566	34	61	,	,	PUNCT
ap-566	34	62	�	�	PROPN
ap-566	34	63	�	�	PROPN
ap-566	34	64	w	w	PROPN
ap-566	34	65	w	w	PROPN
ap-566	34	66	r	r	NOUN
ap-566	34	67	r	r	NOUN
ap-566	34	68	r	r	NOUN
ap-566	34	69	k	k	PROPN
ap-566	34	70	�	�	PROPN
ap-566	34	71	�	�	PROPN
ap-566	34	72	�	�	PROPN
ap-566	34	73	�	�	PROPN
ap-566	34	74	�	�	PROPN
ap-566	34	75	�	�	PROPN
ap-566	34	76	�	�	PROPN
ap-566	34	77	�	�	PROPN
ap-566	34	78	�	�	PROPN
ap-566	34	79	�	�	PROPN
ap-566	34	80	�	�	PROPN
ap-566	34	81	�	�	PROPN
ap-566	34	82	�	�	PROPN
ap-566	34	83	�	�	PROPN
ap-566	34	84	�	�	PROPN
ap-566	34	85	1	1	NUM
ap-566	34	86	2	2	NUM
ap-566	34	87	3	3	NUM
ap-566	34	88	1	1	NUM
ap-566	34	89	�	�	PROPN
ap-566	34	90	�	�	PROPN
ap-566	34	91	�	�	PROPN
ap-566	34	92	�	�	PROPN
ap-566	34	93	�	�	PROPN
ap-566	34	94	tg	tg	PROPN
ap-566	34	95	tg2	tg2	PROPN
ap-566	34	96	,	,	PUNCT
ap-566	34	97	,	,	PUNCT
ap-566	34	98	�	�	PROPN
ap-566	34	99	1	1	NUM
ap-566	34	100	4	4	NUM
ap-566	34	101	5	5	NUM
ap-566	34	102	0	0	NUM
ap-566	34	103	1	1	NUM
ap-566	34	104	2	2	NUM
ap-566	34	105	k	k	NOUN
ap-566	34	106	r	r	NOUN
ap-566	34	107	r	r	NOUN
ap-566	34	108	n	n	CCONJ
ap-566	34	109	�	�	PROPN
ap-566	34	110	�	�	PROPN
ap-566	34	111	�	�	PROPN
ap-566	34	112	�	�	PROPN
ap-566	34	113	�	�	PROPN
ap-566	34	114	�	�	PROPN
ap-566	34	115	�	�	PROPN
ap-566	34	116	�	�	PROPN
ap-566	34	117	�	�	PROPN
ap-566	34	118	�	�	PROPN
ap-566	34	119	tg	tg	PROPN
ap-566	34	120	tg3	tg3	NOUN
ap-566	34	121	4	4	NUM
ap-566	34	122	(	(	PUNCT
ap-566	34	123	,	,	PUNCT
ap-566	34	124	,	,	PUNCT
ap-566	34	125	,	,	PUNCT
ap-566	34	126	)	)	PUNCT
ap-566	34	127	�	�	PROPN
ap-566	34	128	in	in	ADP
ap-566	34	129	this	this	DET
ap-566	34	130	p	p	PROPN
ap-566	34	131	�	�	PROPN
ap-566	34	132	�	�	PROPN
ap-566	34	133	�	�	PROPN
ap-566	34	134	,	,	PUNCT
ap-566	34	135	r	r	PROPN
ap-566	34	136	�	�	PROPN
ap-566	34	137	�	�	PROPN
ap-566	34	138	�	�	PROPN
ap-566	34	139	,	,	PUNCT
ap-566	34	140	�	�	PROPN
ap-566	34	141	are	be	AUX
ap-566	34	142	known	know	VERB
ap-566	34	143	numbers	number	NOUN
ap-566	34	144	,	,	PUNCT
ap-566	34	145	c	c	PROPN
ap-566	34	146	�	�	PROPN
ap-566	34	147	cos	cos	PROPN
ap-566	34	148	(	(	PUNCT
ap-566	34	149	)	)	PUNCT
ap-566	34	150	,	,	PUNCT
ap-566	34	151	s	s	PROPN
ap-566	34	152	�	�	PROPN
ap-566	34	153	sin	sin	NOUN
ap-566	34	154	(	(	PUNCT
ap-566	34	155	)	)	PUNCT
ap-566	34	156	and	and	CCONJ
ap-566	34	157	are	be	AUX
ap-566	34	158	the	the	DET
ap-566	34	159	searched	search	VERB
ap-566	34	160	ply	ply	NOUN
ap-566	34	161	orientations	orientation	NOUN
ap-566	34	162	.	.	PUNCT
ap-566	35	1	6	6	NUM
ap-566	35	2	results	result	NOUN
ap-566	35	3	first	first	ADJ
ap-566	35	4	example	example	NOUN
ap-566	35	5	:	:	PUNCT
ap-566	35	6	�	�	PROPN
ap-566	35	7	a	a	DET
ap-566	35	8	square	square	ADJ
ap-566	35	9	plate	plate	NOUN
ap-566	35	10	,	,	PUNCT
ap-566	35	11	�	�	PROPN
ap-566	35	12	six	six	NUM
ap-566	35	13	plies	ply	NOUN
ap-566	35	14	that	that	PRON
ap-566	35	15	are	be	AUX
ap-566	35	16	laid	lay	VERB
ap-566	35	17	symmetrically	symmetrically	ADV
ap-566	35	18	with	with	ADP
ap-566	35	19	respect	respect	NOUN
ap-566	35	20	to	to	ADP
ap-566	35	21	the	the	DET
ap-566	35	22	middle	middle	ADJ
ap-566	35	23	plane	plane	NOUN
ap-566	35	24	of	of	ADP
ap-566	35	25	the	the	DET
ap-566	35	26	plate	plate	NOUN
ap-566	35	27	,	,	PUNCT
ap-566	35	28	�	�	PROPN
ap-566	35	29	continuous	continuous	ADJ
ap-566	35	30	loading	loading	NOUN
ap-566	35	31	q	q	PROPN
ap-566	35	32	�	�	PROPN
ap-566	35	33	xy	xy	PROPN
ap-566	36	1	[	[	X
ap-566	36	2	n	n	CCONJ
ap-566	36	3	/	/	SYM
ap-566	36	4	mm2	mm2	NOUN
ap-566	36	5	]	]	PUNCT
ap-566	36	6	.	.	PUNCT
ap-566	37	1	graphic	graphic	ADJ
ap-566	37	2	representation	representation	NOUN
ap-566	37	3	of	of	ADP
ap-566	37	4	the	the	DET
ap-566	37	5	stiffness	stiffness	NOUN
ap-566	37	6	maximizing	maximize	VERB
ap-566	37	7	ply	ply	NOUN
ap-566	37	8	orientation	orientation	NOUN
ap-566	37	9	(	(	PUNCT
ap-566	37	10	first	first	ADJ
ap-566	37	11	example	example	NOUN
ap-566	37	12	–	–	PUNCT
ap-566	37	13	fig	fig	NOUN
ap-566	37	14	.	.	PUNCT
ap-566	38	1	1	1	NUM
ap-566	38	2	)	)	PUNCT
ap-566	38	3	.	.	PUNCT
ap-566	39	1	the	the	DET
ap-566	39	2	previous	previous	ADJ
ap-566	39	3	three	three	NUM
ap-566	39	4	solution	solution	NOUN
ap-566	39	5	variants	variant	NOUN
ap-566	39	6	have	have	VERB
ap-566	39	7	the	the	DET
ap-566	39	8	same	same	ADJ
ap-566	39	9	value	value	NOUN
ap-566	39	10	as	as	ADP
ap-566	39	11	our	our	PRON
ap-566	39	12	measure	measure	NOUN
ap-566	39	13	of	of	ADP
ap-566	39	14	stiffness	stiffness	NOUN
ap-566	39	15	.	.	PUNCT
ap-566	40	1	this	this	DET
ap-566	40	2	value	value	NOUN
ap-566	40	3	of	of	ADP
ap-566	40	4	the	the	DET
ap-566	40	5	measure	measure	NOUN
ap-566	40	6	of	of	ADP
ap-566	40	7	stiffness	stiffness	NOUN
ap-566	40	8	is	be	AUX
ap-566	40	9	the	the	DET
ap-566	40	10	maximum	maximum	NOUN
ap-566	40	11	of	of	ADP
ap-566	40	12	all	all	DET
ap-566	40	13	values	value	NOUN
ap-566	40	14	.	.	PUNCT
ap-566	41	1	it	it	PRON
ap-566	41	2	is	be	AUX
ap-566	41	3	interesting	interesting	ADJ
ap-566	41	4	that	that	SCONJ
ap-566	41	5	the	the	DET
ap-566	41	6	first	first	ADJ
ap-566	41	7	variant	variant	NOUN
ap-566	41	8	is	be	AUX
ap-566	41	9	balanced	balance	VERB
ap-566	41	10	and	and	CCONJ
ap-566	41	11	therefore	therefore	ADV
ap-566	41	12	not	not	PART
ap-566	41	13	twisted	twisted	ADJ
ap-566	41	14	.	.	PUNCT
ap-566	42	1	the	the	DET
ap-566	42	2	same	same	ADJ
ap-566	42	3	holds	hold	VERB
ap-566	42	4	for	for	ADP
ap-566	42	5	the	the	DET
ap-566	42	6	folowing	folowe	VERB
ap-566	42	7	three	three	NUM
ap-566	42	8	solution	solution	NOUN
ap-566	42	9	variants	variant	NOUN
ap-566	42	10	.	.	PUNCT
ap-566	43	1	second	second	ADJ
ap-566	43	2	example	example	NOUN
ap-566	43	3	:	:	PUNCT
ap-566	43	4	�	�	PROPN
ap-566	43	5	a	a	DET
ap-566	43	6	rectangular	rectangular	ADJ
ap-566	43	7	plate	plate	NOUN
ap-566	43	8	with	with	ADP
ap-566	43	9	side	side	ADJ
ap-566	43	10	ratio	ratio	NOUN
ap-566	43	11	1:2	1:2	NUM
ap-566	43	12	,	,	PUNCT
ap-566	43	13	�	�	PROPN
ap-566	43	14	six	six	NUM
ap-566	43	15	plies	ply	NOUN
ap-566	43	16	that	that	PRON
ap-566	43	17	are	be	AUX
ap-566	43	18	laid	lay	VERB
ap-566	43	19	symmetrically	symmetrically	ADV
ap-566	43	20	with	with	ADP
ap-566	43	21	respect	respect	NOUN
ap-566	43	22	to	to	ADP
ap-566	43	23	the	the	DET
ap-566	43	24	middle	middle	ADJ
ap-566	43	25	plane	plane	NOUN
ap-566	43	26	of	of	ADP
ap-566	43	27	the	the	PRON
ap-566	43	28	of	of	ADP
ap-566	43	29	the	the	DET
ap-566	43	30	plate	plate	NOUN
ap-566	43	31	,	,	PUNCT
ap-566	43	32	�	�	PROPN
ap-566	43	33	continuous	continuous	ADJ
ap-566	43	34	loading	loading	NOUN
ap-566	43	35	of	of	ADP
ap-566	43	36	the	the	DET
ap-566	43	37	plate	plate	NOUN
ap-566	43	38	q	q	NOUN
ap-566	44	1	=	=	PUNCT
ap-566	44	2	x	x	PUNCT
ap-566	44	3	y	y	PROPN
ap-566	44	4	[	[	X
ap-566	44	5	n	n	CCONJ
ap-566	44	6	/	/	SYM
ap-566	44	7	mm2	mm2	NOUN
ap-566	44	8	]	]	PUNCT
ap-566	44	9	.	.	PUNCT
ap-566	45	1	graphic	graphic	ADJ
ap-566	45	2	representation	representation	NOUN
ap-566	45	3	of	of	ADP
ap-566	45	4	the	the	DET
ap-566	45	5	stiffness	stiffness	NOUN
ap-566	45	6	maximizing	maximize	VERB
ap-566	45	7	ply	ply	NOUN
ap-566	45	8	orientation	orientation	NOUN
ap-566	45	9	(	(	PUNCT
ap-566	45	10	second	second	ADJ
ap-566	45	11	example	example	NOUN
ap-566	45	12	–	–	PUNCT
ap-566	45	13	fig	fig	NOUN
ap-566	45	14	.	.	PUNCT
ap-566	46	1	2	2	NUM
ap-566	46	2	)	)	PUNCT
ap-566	46	3	.	.	PUNCT
ap-566	47	1	22	22	NUM
ap-566	48	1	©	©	PROPN
ap-566	48	2	czech	czech	PROPN
ap-566	48	3	technical	technical	PROPN
ap-566	48	4	university	university	PROPN
ap-566	48	5	publishing	publishing	NOUN
ap-566	48	6	house	house	NOUN
ap-566	48	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-566	48	8	acta	acta	PROPN
ap-566	48	9	polytechnica	polytechnica	PROPN
ap-566	48	10	vol	vol	NOUN
ap-566	48	11	.	.	PROPN
ap-566	49	1	44	44	NUM
ap-566	49	2	no	no	NOUN
ap-566	49	3	.	.	PUNCT
ap-566	50	1	3/2004	3/2004	NOUN
ap-566	50	2	3	3	NUM
ap-566	51	1	=	=	SYM
ap-566	51	2	45	45	NUM
ap-566	51	3	°	°	NOUN
ap-566	51	4	2	2	NUM
ap-566	51	5	=	=	SYM
ap-566	51	6	45	45	NUM
ap-566	51	7	°	°	NOUN
ap-566	51	8	1	1	NUM
ap-566	52	1	=	=	SYM
ap-566	52	2	45	45	NUM
ap-566	52	3	°	°	NUM
ap-566	52	4	�	�	PROPN
ap-566	52	5	3	3	NUM
ap-566	52	6	�	�	PROPN
ap-566	52	7	1	1	NUM
ap-566	52	8	�	�	NOUN
ap-566	52	9	2	2	NUM
ap-566	52	10	3	3	NUM
ap-566	52	11	x	x	SYM
ap-566	52	12	y	y	PROPN
ap-566	52	13	3	3	NUM
ap-566	52	14	=	=	SYM
ap-566	52	15	45	45	NUM
ap-566	52	16	°	°	NOUN
ap-566	52	17	2	2	NUM
ap-566	52	18	=	=	SYM
ap-566	52	19	45	45	NUM
ap-566	52	20	°	°	NOUN
ap-566	52	21	1	1	NUM
ap-566	52	22	=	=	SYM
ap-566	52	23	45	45	NUM
ap-566	52	24	°	°	NUM
ap-566	52	25	�	�	PROPN
ap-566	52	26	3	3	NUM
ap-566	52	27	�	�	PROPN
ap-566	52	28	1	1	NUM
ap-566	52	29	�	�	NOUN
ap-566	52	30	2	2	NUM
ap-566	52	31	3	3	NUM
ap-566	52	32	x	x	SYM
ap-566	52	33	y	y	PROPN
ap-566	52	34	3	3	NUM
ap-566	52	35	=	=	SYM
ap-566	52	36	45	45	NUM
ap-566	52	37	°	°	NUM
ap-566	52	38	2	2	NUM
ap-566	52	39	=	=	SYM
ap-566	52	40	45	45	NUM
ap-566	52	41	°	°	NOUN
ap-566	52	42	1	1	NUM
ap-566	52	43	=	=	SYM
ap-566	52	44	45	45	NUM
ap-566	52	45	°	°	NUM
ap-566	52	46	�	�	PROPN
ap-566	52	47	3	3	NUM
ap-566	52	48	�	�	PROPN
ap-566	52	49	1	1	NUM
ap-566	52	50	�	�	NOUN
ap-566	52	51	2	2	NUM
ap-566	52	52	3	3	NUM
ap-566	52	53	x	x	SYM
ap-566	52	54	y	y	PROPN
ap-566	52	55	first	first	ADV
ap-566	52	56	variant	variant	ADJ
ap-566	52	57	second	second	ADJ
ap-566	52	58	variant	variant	NOUN
ap-566	52	59	third	third	ADJ
ap-566	52	60	variant	variant	ADJ
ap-566	52	61	fig	fig	NOUN
ap-566	52	62	.	.	PUNCT
ap-566	53	1	1	1	NUM
ap-566	53	2	:	:	PUNCT
ap-566	53	3	first	first	ADJ
ap-566	53	4	example	example	NOUN
ap-566	53	5	�	�	PROPN
ap-566	53	6	3	3	NUM
ap-566	53	7	�	�	PROPN
ap-566	53	8	1	1	NUM
ap-566	53	9	�	�	NOUN
ap-566	53	10	2	2	NUM
ap-566	53	11	3	3	NUM
ap-566	53	12	=	=	SYM
ap-566	53	13	75	75	NUM
ap-566	53	14	°	°	NOUN
ap-566	53	15	2	2	NUM
ap-566	53	16	=	=	SYM
ap-566	53	17	75	75	NUM
ap-566	53	18	°	°	NOUN
ap-566	53	19	1	1	NUM
ap-566	54	1	=	=	SYM
ap-566	54	2	75	75	NUM
ap-566	54	3	°	°	NUM
ap-566	54	4	3	3	NUM
ap-566	54	5	x	x	SYM
ap-566	54	6	y	y	PROPN
ap-566	54	7	�	�	PROPN
ap-566	54	8	3	3	NUM
ap-566	54	9	�	�	PROPN
ap-566	54	10	1	1	NUM
ap-566	54	11	�	�	NOUN
ap-566	54	12	2	2	NUM
ap-566	54	13	3	3	NUM
ap-566	54	14	=	=	SYM
ap-566	54	15	75	75	NUM
ap-566	54	16	°	°	NOUN
ap-566	54	17	2	2	NUM
ap-566	54	18	=	=	SYM
ap-566	54	19	75	75	NUM
ap-566	54	20	°	°	NOUN
ap-566	54	21	1	1	NUM
ap-566	55	1	=	=	SYM
ap-566	55	2	75	75	NUM
ap-566	55	3	°	°	NUM
ap-566	55	4	3	3	NUM
ap-566	55	5	x	x	SYM
ap-566	55	6	y	y	PROPN
ap-566	55	7	�	�	PROPN
ap-566	55	8	3	3	NUM
ap-566	55	9	�	�	PROPN
ap-566	55	10	1	1	NUM
ap-566	55	11	�	�	NOUN
ap-566	55	12	2	2	NUM
ap-566	55	13	3	3	NUM
ap-566	55	14	=	=	SYM
ap-566	55	15	75	75	NUM
ap-566	55	16	°	°	NUM
ap-566	55	17	2	2	NUM
ap-566	55	18	=	=	SYM
ap-566	55	19	75	75	NUM
ap-566	55	20	°	°	NOUN
ap-566	55	21	1	1	NUM
ap-566	55	22	=	=	SYM
ap-566	55	23	75	75	NUM
ap-566	55	24	°	°	NUM
ap-566	55	25	3	3	NUM
ap-566	55	26	x	x	SYM
ap-566	55	27	y	y	PROPN
ap-566	55	28	first	first	ADV
ap-566	55	29	variant	variant	ADJ
ap-566	55	30	second	second	ADJ
ap-566	55	31	variant	variant	NOUN
ap-566	55	32	third	third	ADJ
ap-566	55	33	variant	variant	ADJ
ap-566	55	34	fig	fig	NOUN
ap-566	55	35	.	.	PUNCT
ap-566	56	1	2	2	NUM
ap-566	56	2	:	:	PUNCT
ap-566	56	3	second	second	ADJ
ap-566	56	4	example	example	NOUN
ap-566	56	5	7	7	NUM
ap-566	56	6	conclusions	conclusion	NOUN
ap-566	56	7	we	we	PRON
ap-566	56	8	contemplate	contemplate	VERB
ap-566	56	9	the	the	DET
ap-566	56	10	problem	problem	NOUN
ap-566	56	11	of	of	ADP
ap-566	56	12	a	a	DET
ap-566	56	13	rectangular	rectangular	ADJ
ap-566	56	14	laminate	laminate	NOUN
ap-566	56	15	plate	plate	NOUN
ap-566	56	16	with	with	ADP
ap-566	56	17	common	common	ADJ
ap-566	56	18	but	but	CCONJ
ap-566	56	19	fixed	fix	VERB
ap-566	56	20	given	give	VERB
ap-566	56	21	dimensions	dimension	NOUN
ap-566	56	22	,	,	PUNCT
ap-566	56	23	number	number	NOUN
ap-566	56	24	of	of	ADP
ap-566	56	25	plies	ply	NOUN
ap-566	56	26	,	,	PUNCT
ap-566	56	27	thickness	thickness	NOUN
ap-566	56	28	of	of	ADP
ap-566	56	29	plies	ply	NOUN
ap-566	56	30	,	,	PUNCT
ap-566	56	31	mechanical	mechanical	ADJ
ap-566	56	32	properties	property	NOUN
ap-566	56	33	of	of	ADP
ap-566	56	34	orthotropic	orthotropic	ADJ
ap-566	56	35	plies	ply	NOUN
ap-566	56	36	and	and	CCONJ
ap-566	56	37	lateral	lateral	ADJ
ap-566	56	38	loading	loading	NOUN
ap-566	56	39	that	that	PRON
ap-566	56	40	is	be	AUX
ap-566	56	41	simply	simply	ADV
ap-566	56	42	supported	support	VERB
ap-566	56	43	on	on	ADP
ap-566	56	44	its	its	PRON
ap-566	56	45	boundary	boundary	NOUN
ap-566	56	46	with	with	ADP
ap-566	56	47	the	the	DET
ap-566	56	48	aim	aim	NOUN
ap-566	56	49	of	of	ADP
ap-566	56	50	specifying	specify	VERB
ap-566	56	51	an	an	DET
ap-566	56	52	orientation	orientation	NOUN
ap-566	56	53	of	of	ADP
ap-566	56	54	its	its	PRON
ap-566	56	55	plies	ply	NOUN
ap-566	56	56	that	that	PRON
ap-566	56	57	with	with	AUX
ap-566	56	58	maximize	maximize	VERB
ap-566	56	59	the	the	DET
ap-566	56	60	measure	measure	NOUN
ap-566	56	61	of	of	ADP
ap-566	56	62	stiffness	stiffness	NOUN
ap-566	56	63	,	,	PUNCT
ap-566	56	64	which	which	PRON
ap-566	56	65	is	be	AUX
ap-566	56	66	the	the	DET
ap-566	56	67	inverse	inverse	NOUN
ap-566	56	68	of	of	ADP
ap-566	56	69	the	the	DET
ap-566	56	70	measure	measure	NOUN
ap-566	56	71	of	of	ADP
ap-566	56	72	compliance	compliance	NOUN
ap-566	56	73	.	.	PUNCT
ap-566	57	1	the	the	DET
ap-566	57	2	measure	measure	NOUN
ap-566	57	3	of	of	ADP
ap-566	57	4	compliance	compliance	NOUN
ap-566	57	5	is	be	AUX
ap-566	57	6	given	give	VERB
ap-566	57	7	by	by	ADP
ap-566	57	8	the	the	DET
ap-566	57	9	scalar	scalar	ADJ
ap-566	57	10	product	product	NOUN
ap-566	57	11	of	of	ADP
ap-566	57	12	the	the	DET
ap-566	57	13	deflection	deflection	NOUN
ap-566	57	14	function	function	NOUN
ap-566	57	15	describing	describe	VERB
ap-566	57	16	the	the	DET
ap-566	57	17	deformed	deform	VERB
ap-566	57	18	middle	middle	ADJ
ap-566	57	19	plane	plane	NOUN
ap-566	57	20	of	of	ADP
ap-566	57	21	the	the	DET
ap-566	57	22	plate	plate	NOUN
ap-566	57	23	and	and	CCONJ
ap-566	57	24	the	the	DET
ap-566	57	25	lateral	lateral	ADJ
ap-566	57	26	loading	loading	NOUN
ap-566	57	27	over	over	ADP
ap-566	57	28	the	the	DET
ap-566	57	29	projection	projection	NOUN
ap-566	57	30	of	of	ADP
ap-566	57	31	the	the	DET
ap-566	57	32	plate	plate	NOUN
ap-566	57	33	into	into	ADP
ap-566	57	34	middle	middle	ADJ
ap-566	57	35	plane	plane	NOUN
ap-566	57	36	.	.	PUNCT
ap-566	58	1	we	we	PRON
ap-566	58	2	must	must	AUX
ap-566	58	3	search	search	VERB
ap-566	58	4	an	an	DET
ap-566	58	5	actual	actual	ADJ
ap-566	58	6	deformed	deform	VERB
ap-566	58	7	state	state	NOUN
ap-566	58	8	with	with	ADP
ap-566	58	9	respect	respect	NOUN
ap-566	58	10	to	to	ADP
ap-566	58	11	the	the	DET
ap-566	58	12	common	common	ADJ
ap-566	58	13	orientation	orientation	NOUN
ap-566	58	14	of	of	ADP
ap-566	58	15	the	the	DET
ap-566	58	16	plies	ply	NOUN
ap-566	58	17	.	.	PUNCT
ap-566	59	1	this	this	DET
ap-566	59	2	solution	solution	NOUN
ap-566	59	3	is	be	AUX
ap-566	59	4	used	use	VERB
ap-566	59	5	in	in	ADP
ap-566	59	6	the	the	DET
ap-566	59	7	above	above	ADJ
ap-566	59	8	expressed	express	VERB
ap-566	59	9	measure	measure	NOUN
ap-566	59	10	of	of	ADP
ap-566	59	11	compliance	compliance	NOUN
ap-566	59	12	,	,	PUNCT
ap-566	59	13	and	and	CCONJ
ap-566	59	14	the	the	DET
ap-566	59	15	minimum	minimum	NOUN
ap-566	59	16	of	of	ADP
ap-566	59	17	this	this	DET
ap-566	59	18	expression	expression	NOUN
ap-566	59	19	is	be	AUX
ap-566	59	20	searched	search	VERB
ap-566	59	21	.	.	PUNCT
ap-566	60	1	it	it	PRON
ap-566	60	2	is	be	AUX
ap-566	60	3	not	not	PART
ap-566	60	4	worthwhile	worthwhile	ADJ
ap-566	60	5	to	to	PART
ap-566	60	6	present	present	VERB
ap-566	60	7	the	the	DET
ap-566	60	8	way	way	NOUN
ap-566	60	9	of	of	ADP
ap-566	60	10	constructing	construct	VERB
ap-566	60	11	of	of	ADP
ap-566	60	12	this	this	DET
ap-566	60	13	relation	relation	NOUN
ap-566	60	14	.	.	PUNCT
ap-566	61	1	it	it	PRON
ap-566	61	2	is	be	AUX
ap-566	61	3	also	also	ADV
ap-566	61	4	not	not	PART
ap-566	61	5	worthwhile	worthwhile	ADJ
ap-566	61	6	to	to	PART
ap-566	61	7	present	present	VERB
ap-566	61	8	the	the	DET
ap-566	61	9	way	way	NOUN
ap-566	61	10	of	of	ADP
ap-566	61	11	resolving	resolve	VERB
ap-566	61	12	it	it	PRON
ap-566	61	13	.	.	PUNCT
ap-566	62	1	therefore	therefore	ADV
ap-566	62	2	,	,	PUNCT
ap-566	62	3	we	we	PRON
ap-566	62	4	introduce	introduce	VERB
ap-566	62	5	only	only	ADV
ap-566	62	6	the	the	DET
ap-566	62	7	result	result	NOUN
ap-566	62	8	.	.	PUNCT
ap-566	63	1	first	first	ADJ
ap-566	63	2	example	example	NOUN
ap-566	63	3	:	:	PUNCT
ap-566	63	4	a	a	DET
ap-566	63	5	square	square	ADJ
ap-566	63	6	plate	plate	NOUN
ap-566	63	7	with	with	ADP
ap-566	63	8	six	six	NUM
ap-566	63	9	plies	ply	NOUN
ap-566	63	10	that	that	PRON
ap-566	63	11	are	be	AUX
ap-566	63	12	laid	lay	VERB
ap-566	63	13	symmetrically	symmetrically	ADV
ap-566	63	14	with	with	ADP
ap-566	63	15	respect	respect	NOUN
ap-566	63	16	to	to	ADP
ap-566	63	17	the	the	DET
ap-566	63	18	middle	middle	ADJ
ap-566	63	19	plane	plane	NOUN
ap-566	63	20	,	,	PUNCT
ap-566	63	21	of	of	ADP
ap-566	63	22	the	the	DET
ap-566	63	23	plate	plate	NOUN
ap-566	63	24	.	.	PUNCT
ap-566	64	1	this	this	DET
ap-566	64	2	plate	plate	NOUN
ap-566	64	3	is	be	AUX
ap-566	64	4	continuously	continuously	ADV
ap-566	64	5	loaded	load	VERB
ap-566	64	6	with	with	ADP
ap-566	64	7	the	the	DET
ap-566	64	8	value	value	NOUN
ap-566	64	9	increasing	increase	VERB
ap-566	64	10	as	as	SCONJ
ap-566	64	11	the	the	DET
ap-566	64	12	coordinates	coordinate	NOUN
ap-566	64	13	increase	increase	VERB
ap-566	64	14	.	.	PUNCT
ap-566	65	1	there	there	PRON
ap-566	65	2	are	be	VERB
ap-566	65	3	three	three	NUM
ap-566	65	4	solution	solution	NOUN
ap-566	65	5	variants	variant	NOUN
ap-566	65	6	that	that	PRON
ap-566	65	7	have	have	VERB
ap-566	65	8	the	the	DET
ap-566	65	9	same	same	ADJ
ap-566	65	10	value	value	NOUN
ap-566	65	11	as	as	ADP
ap-566	65	12	our	our	PRON
ap-566	65	13	measure	measure	NOUN
ap-566	65	14	of	of	ADP
ap-566	65	15	stiffness	stiffness	NOUN
ap-566	65	16	.	.	PUNCT
ap-566	66	1	this	this	DET
ap-566	66	2	measure	measure	NOUN
ap-566	66	3	of	of	ADP
ap-566	66	4	stiffness	stiffness	ADJ
ap-566	66	5	value	value	NOUN
ap-566	66	6	is	be	AUX
ap-566	66	7	the	the	DET
ap-566	66	8	maximum	maximum	NOUN
ap-566	66	9	of	of	ADP
ap-566	66	10	all	all	DET
ap-566	66	11	values	value	NOUN
ap-566	66	12	.	.	PUNCT
ap-566	67	1	the	the	DET
ap-566	67	2	optimal	optimal	ADJ
ap-566	67	3	ply	ply	NOUN
ap-566	67	4	orientation	orientation	NOUN
ap-566	67	5	is	be	AUX
ap-566	67	6	45	45	NUM
ap-566	67	7	°	°	NOUN
ap-566	67	8	for	for	ADP
ap-566	67	9	all	all	DET
ap-566	67	10	plies	ply	NOUN
ap-566	67	11	,	,	PUNCT
ap-566	67	12	the	the	DET
ap-566	67	13	only	only	ADJ
ap-566	67	14	difference	difference	NOUN
ap-566	67	15	is	be	AUX
ap-566	67	16	the	the	DET
ap-566	67	17	orientation	orientation	NOUN
ap-566	67	18	(	(	PUNCT
ap-566	67	19	plus	plus	CCONJ
ap-566	67	20	,	,	PUNCT
ap-566	67	21	minus	minus	NUM
ap-566	67	22	)	)	PUNCT
ap-566	67	23	.	.	PUNCT
ap-566	68	1	it	it	PRON
ap-566	68	2	is	be	AUX
ap-566	68	3	interesting	interesting	ADJ
ap-566	68	4	that	that	SCONJ
ap-566	68	5	the	the	DET
ap-566	68	6	first	first	ADJ
ap-566	68	7	variant	variant	NOUN
ap-566	68	8	is	be	AUX
ap-566	68	9	balanced	balance	VERB
ap-566	68	10	and	and	CCONJ
ap-566	68	11	therefore	therefore	ADV
ap-566	68	12	not	not	PART
ap-566	68	13	twisted	twisted	ADJ
ap-566	68	14	.	.	PUNCT
ap-566	69	1	second	second	ADJ
ap-566	69	2	example	example	NOUN
ap-566	69	3	:	:	PUNCT
ap-566	69	4	a	a	DET
ap-566	69	5	rectangular	rectangular	ADJ
ap-566	69	6	plate	plate	NOUN
ap-566	69	7	with	with	ADP
ap-566	69	8	side	side	ADJ
ap-566	69	9	ratio	ratio	NOUN
ap-566	69	10	1:2	1:2	NUM
ap-566	69	11	with	with	ADP
ap-566	69	12	six	six	NUM
ap-566	69	13	plies	ply	NOUN
ap-566	69	14	that	that	PRON
ap-566	69	15	are	be	AUX
ap-566	69	16	laid	lay	VERB
ap-566	69	17	symmetrically	symmetrically	ADV
ap-566	69	18	with	with	ADP
ap-566	69	19	whit	whit	ADJ
ap-566	69	20	respect	respect	NOUN
ap-566	69	21	to	to	ADP
ap-566	69	22	the	the	DET
ap-566	69	23	middle	middle	ADJ
ap-566	69	24	plane	plane	NOUN
ap-566	69	25	of	of	ADP
ap-566	69	26	the	the	DET
ap-566	69	27	plate	plate	NOUN
ap-566	69	28	.	.	PUNCT
ap-566	70	1	this	this	DET
ap-566	70	2	plate	plate	NOUN
ap-566	70	3	is	be	AUX
ap-566	70	4	also	also	ADV
ap-566	70	5	continuously	continuously	ADV
ap-566	70	6	loaded	load	VERB
ap-566	70	7	with	with	ADP
ap-566	70	8	value	value	NOUN
ap-566	70	9	increasing	increase	VERB
ap-566	70	10	as	as	SCONJ
ap-566	70	11	the	the	DET
ap-566	70	12	coordinates	coordinate	NOUN
ap-566	70	13	increase	increase	VERB
ap-566	70	14	.	.	PUNCT
ap-566	71	1	the	the	DET
ap-566	71	2	same	same	ADJ
ap-566	71	3	remark	remark	NOUN
ap-566	71	4	as	as	ADP
ap-566	71	5	for	for	ADP
ap-566	71	6	the	the	DET
ap-566	71	7	previous	previous	ADJ
ap-566	71	8	example	example	NOUN
ap-566	71	9	also	also	ADV
ap-566	71	10	holds	hold	VERB
ap-566	71	11	for	for	ADP
ap-566	71	12	this	this	DET
ap-566	71	13	example	example	NOUN
ap-566	71	14	.	.	PUNCT
ap-566	72	1	the	the	DET
ap-566	72	2	only	only	ADJ
ap-566	72	3	contrast	contrast	NOUN
ap-566	72	4	is	be	AUX
ap-566	72	5	the	the	DET
ap-566	72	6	optimal	optimal	ADJ
ap-566	72	7	orientation	orientation	NOUN
ap-566	72	8	of	of	ADP
ap-566	72	9	the	the	DET
ap-566	72	10	plies	ply	NOUN
ap-566	72	11	.	.	PUNCT
ap-566	73	1	in	in	ADP
ap-566	73	2	this	this	DET
ap-566	73	3	example	example	NOUN
ap-566	73	4	it	it	PRON
ap-566	73	5	is	be	AUX
ap-566	73	6	75	75	NUM
ap-566	73	7	°	°	NUM
ap-566	73	8	.	.	NOUN
ap-566	73	9	8	8	NUM
ap-566	73	10	acknowledgment	acknowledgment	NOUN
ap-566	73	11	this	this	DET
ap-566	73	12	work	work	NOUN
ap-566	73	13	has	have	AUX
ap-566	73	14	been	be	AUX
ap-566	73	15	supported	support	VERB
ap-566	73	16	by	by	ADP
ap-566	73	17	the	the	DET
ap-566	73	18	grant	grant	PROPN
ap-566	73	19	agency	agency	PROPN
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ap-566	73	21	czech	czech	PROPN
ap-566	73	22	republic	republic	PROPN
ap-566	73	23	under	under	ADP
ap-566	73	24	contract	contract	NOUN
ap-566	73	25	no	no	INTJ
ap-566	73	26	.	.	PUNCT
ap-566	74	1	106/01/0958	106/01/0958	NUM
ap-566	74	2	.	.	PUNCT
ap-566	75	1	references	reference	NOUN
ap-566	75	2	[	[	X
ap-566	75	3	1	1	NUM
ap-566	75	4	]	]	X
ap-566	75	5	alexejev	alexejev	NOUN
ap-566	75	6	v.	v.	ADP
ap-566	75	7	m.	m.	PROPN
ap-566	75	8	,	,	PUNCT
ap-566	75	9	tichomirov	tichomirov	PROPN
ap-566	75	10	v.	v.	ADP
ap-566	75	11	m.	m.	NOUN
ap-566	75	12	,	,	PUNCT
ap-566	75	13	fomin	fomin	VERB
ap-566	75	14	s.	s.	PROPN
ap-566	75	15	v.	v.	PROPN
ap-566	75	16	:	:	PUNCT
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ap-566	75	20	procesů	procesů	PROPN
ap-566	75	21	.	.	PUNCT
ap-566	76	1	praha	praha	PROPN
ap-566	76	2	:	:	PUNCT
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ap-566	76	5	.	.	PUNCT
ap-566	77	1	[	[	X
ap-566	77	2	2	2	NUM
ap-566	77	3	]	]	X
ap-566	77	4	allaire	allaire	PROPN
ap-566	77	5	g.	g.	PROPN
ap-566	77	6	:	:	PUNCT
ap-566	77	7	shape	shape	VERB
ap-566	77	8	optimization	optimization	NOUN
ap-566	77	9	by	by	ADP
ap-566	77	10	the	the	DET
ap-566	77	11	homogenization	homogenization	NOUN
ap-566	77	12	method	method	NOUN
ap-566	77	13	.	.	PUNCT
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ap-566	78	2	york	york	PROPN
ap-566	78	3	:	:	PUNCT
ap-566	78	4	springer	springer	NOUN
ap-566	78	5	-	-	PUNCT
ap-566	78	6	verlag	verlag	PROPN
ap-566	78	7	,	,	PUNCT
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ap-566	78	9	.	.	PUNCT
ap-566	79	1	[	[	X
ap-566	79	2	3	3	X
ap-566	79	3	]	]	PUNCT
ap-566	79	4	gürdal	gürdal	NOUN
ap-566	79	5	z.	z.	PROPN
ap-566	79	6	,	,	PUNCT
ap-566	79	7	haftka	haftka	PROPN
ap-566	79	8	r.	r.	PROPN
ap-566	79	9	t.	t.	PROPN
ap-566	79	10	,	,	PUNCT
ap-566	79	11	hajela	hajela	PROPN
ap-566	79	12	p.	p.	NOUN
ap-566	79	13	:	:	PUNCT
ap-566	80	1	design	design	NOUN
ap-566	80	2	and	and	CCONJ
ap-566	80	3	optimization	optimization	NOUN
ap-566	80	4	of	of	ADP
ap-566	80	5	laminated	laminated	ADJ
ap-566	80	6	composite	composite	ADJ
ap-566	80	7	materials	material	NOUN
ap-566	80	8	.	.	PUNCT
ap-566	81	1	new	new	PROPN
ap-566	81	2	york	york	PROPN
ap-566	81	3	:	:	PUNCT
ap-566	81	4	john	john	PROPN
ap-566	81	5	wiley	wiley	PROPN
ap-566	81	6	&	&	CCONJ
ap-566	81	7	sons	son	NOUN
ap-566	81	8	,	,	PUNCT
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ap-566	81	10	.	.	PUNCT
ap-566	82	1	[	[	X
ap-566	82	2	4	4	X
ap-566	82	3	]	]	X
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ap-566	82	5	k.	k.	PROPN
ap-566	82	6	:	:	PUNCT
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ap-566	82	8	methods	method	NOUN
ap-566	82	9	in	in	ADP
ap-566	82	10	elasticity	elasticity	NOUN
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ap-566	82	13	.	.	PUNCT
ap-566	83	1	2nd	2nd	ADJ
ap-566	83	2	ed	ed	NOUN
ap-566	83	3	.	.	PUNCT
ap-566	84	1	oxford	oxford	PROPN
ap-566	84	2	:	:	PUNCT
ap-566	84	3	pergamon	pergamon	PROPN
ap-566	84	4	press	press	PROPN
ap-566	84	5	,	,	PUNCT
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ap-566	84	7	.	.	PUNCT
ap-566	85	1	(	(	PUNCT
ap-566	85	2	in	in	ADP
ap-566	85	3	russian	russian	NOUN
ap-566	85	4	:	:	PUNCT
ap-566	85	5	variacionnyje	variacionnyje	PROPN
ap-566	85	6	metody	metody	ADJ
ap-566	85	7	v	v	ADP
ap-566	85	8	teorii	teorii	NOUN
ap-566	85	9	uprugosti	uprugosti	NOUN
ap-566	85	10	i	i	PRON
ap-566	85	11	plastičnosti	plastičnosti	VERB
ap-566	85	12	.	.	PUNCT
ap-566	86	1	moskva	moskva	PROPN
ap-566	86	2	:	:	PUNCT
ap-566	86	3	mir	mir	PROPN
ap-566	86	4	1987	1987	NUM
ap-566	86	5	.	.	PUNCT
ap-566	86	6	)	)	PUNCT
ap-566	87	1	[	[	X
ap-566	87	2	5	5	NUM
ap-566	87	3	]	]	X
ap-566	87	4	wilde	wilde	PROPN
ap-566	87	5	d.	d.	PROPN
ap-566	87	6	j.	j.	PROPN
ap-566	87	7	:	:	PUNCT
ap-566	87	8	globally	globally	ADV
ap-566	87	9	optimal	optimal	ADJ
ap-566	87	10	design	design	NOUN
ap-566	87	11	.	.	PUNCT
ap-566	88	1	new	new	PROPN
ap-566	88	2	york	york	PROPN
ap-566	88	3	:	:	PUNCT
ap-566	88	4	john	john	PROPN
ap-566	88	5	wiley	wiley	PROPN
ap-566	88	6	&	&	CCONJ
ap-566	88	7	sons	son	NOUN
ap-566	88	8	,	,	PUNCT
ap-566	88	9	1978	1978	NUM
ap-566	88	10	.	.	PUNCT
ap-566	89	1	ing	ing	ADJ
ap-566	89	2	.	.	PROPN
ap-566	90	1	tomáš	tomáš	PROPN
ap-566	90	2	mareš	mareš	PROPN
ap-566	90	3	phone:+420	phone:+420	PRON
ap-566	90	4	224	224	NUM
ap-566	90	5	352	352	NUM
ap-566	90	6	525	525	NUM
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ap-566	90	8	department	department	PROPN
ap-566	90	9	of	of	ADP
ap-566	90	10	mechanics	mechanic	NOUN
ap-566	90	11	division	division	NOUN
ap-566	90	12	of	of	ADP
ap-566	90	13	strength	strength	NOUN
ap-566	90	14	of	of	ADP
ap-566	90	15	materials	material	NOUN
ap-566	90	16	czech	czech	PROPN
ap-566	90	17	technical	technical	PROPN
ap-566	90	18	university	university	PROPN
ap-566	90	19	in	in	ADP
ap-566	90	20	prague	prague	PROPN
ap-566	90	21	faculty	faculty	NOUN
ap-566	90	22	of	of	ADP
ap-566	90	23	mechanical	mechanical	ADJ
ap-566	90	24	engineering	engineering	NOUN
ap-566	90	25	technická	technická	NOUN
ap-566	90	26	4	4	NUM
ap-566	90	27	166	166	NUM
ap-566	90	28	07	07	NUM
ap-566	90	29	prague	prague	NOUN
ap-566	90	30	6	6	NUM
ap-566	90	31	,	,	PUNCT
ap-566	90	32	czech	czech	PROPN
ap-566	90	33	republic	republic	NOUN
ap-566	90	34	©	©	PROPN
ap-566	90	35	czech	czech	PROPN
ap-566	90	36	technical	technical	PROPN
ap-566	90	37	university	university	PROPN
ap-566	90	38	publishing	publishing	NOUN
ap-566	90	39	house	house	NOUN
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ap-566	90	41	23	23	NUM
ap-566	90	42	acta	acta	PROPN
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ap-566	90	45	.	.	PROPN
ap-566	91	1	44	44	NUM
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ap-566	91	3	.	.	PUNCT
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