id	sid	tid	token	lemma	pos
app01-11090	1	1	acta	acta	PROPN
app01-11090	1	2	polytechnica	polytechnica	PROPN
app01-11090	1	3	ctu	ctu	PROPN
app01-11090	1	4	proceedings	proceeding	NOUN
app01-11090	1	5	https://doi.org/10.14311/app.2025.54.0034	https://doi.org/10.14311/app.2025.54.0034	VERB
app01-11090	1	6	acta	acta	PROPN
app01-11090	1	7	polytechnica	polytechnica	PROPN
app01-11090	1	8	ctu	ctu	NOUN
app01-11090	1	9	proceedings	proceeding	NOUN
app01-11090	1	10	54:34–40	54:34–40	NUM
app01-11090	1	11	,	,	PUNCT
app01-11090	1	12	2025	2025	NUM
app01-11090	1	13	©	©	ADP
app01-11090	1	14	2025	2025	NUM
app01-11090	1	15	the	the	DET
app01-11090	1	16	author(s	author(s	NOUN
app01-11090	1	17	)	)	PUNCT
app01-11090	1	18	.	.	PUNCT
app01-11090	2	1	licensed	license	VERB
app01-11090	2	2	under	under	ADP
app01-11090	2	3	a	a	DET
app01-11090	2	4	cc	cc	NOUN
app01-11090	2	5	-	-	PUNCT
app01-11090	2	6	by	by	ADP
app01-11090	2	7	4.0	4.0	NUM
app01-11090	2	8	licence	licence	NOUN
app01-11090	2	9	published	publish	VERB
app01-11090	2	10	by	by	ADP
app01-11090	2	11	the	the	DET
app01-11090	2	12	czech	czech	PROPN
app01-11090	2	13	technical	technical	PROPN
app01-11090	2	14	university	university	PROPN
app01-11090	2	15	in	in	ADP
app01-11090	2	16	prague	prague	NOUN
app01-11090	2	17	optimising	optimise	VERB
app01-11090	2	18	truss	truss	NOUN
app01-11090	2	19	-	-	PUNCT
app01-11090	2	20	based	base	VERB
app01-11090	2	21	metamaterials	metamaterial	NOUN
app01-11090	2	22	for	for	ADP
app01-11090	2	23	unimodal	unimodal	ADJ
app01-11090	2	24	and	and	CCONJ
app01-11090	2	25	pentamodal	pentamodal	NOUN
app01-11090	2	26	behaviour	behaviour	NOUN
app01-11090	2	27	nataša	nataša	PROPN
app01-11090	2	28	jošková∗	jošková∗	PROPN
app01-11090	2	29	,	,	PUNCT
app01-11090	2	30	marek	marek	PROPN
app01-11090	2	31	tyburec	tyburec	PROPN
app01-11090	2	32	,	,	PUNCT
app01-11090	2	33	martin	martin	PROPN
app01-11090	2	34	doškář	doškář	PROPN
app01-11090	2	35	czech	czech	PROPN
app01-11090	2	36	technical	technical	PROPN
app01-11090	2	37	university	university	PROPN
app01-11090	2	38	in	in	ADP
app01-11090	2	39	prague	prague	PROPN
app01-11090	2	40	,	,	PUNCT
app01-11090	2	41	faculty	faculty	NOUN
app01-11090	2	42	of	of	ADP
app01-11090	2	43	civil	civil	ADJ
app01-11090	2	44	engineering	engineering	NOUN
app01-11090	2	45	,	,	PUNCT
app01-11090	2	46	department	department	NOUN
app01-11090	2	47	of	of	ADP
app01-11090	2	48	mechanics	mechanic	NOUN
app01-11090	2	49	,	,	PUNCT
app01-11090	2	50	thákurova	thákurova	X
app01-11090	2	51	7	7	NUM
app01-11090	2	52	,	,	PUNCT
app01-11090	2	53	166	166	NUM
app01-11090	2	54	29	29	NUM
app01-11090	2	55	prague	prague	NOUN
app01-11090	2	56	6	6	NUM
app01-11090	2	57	,	,	PUNCT
app01-11090	2	58	czech	czech	PROPN
app01-11090	2	59	republic	republic	NOUN
app01-11090	2	60	∗	∗	NOUN
app01-11090	2	61	corresponding	correspond	VERB
app01-11090	2	62	author	author	NOUN
app01-11090	2	63	:	:	PUNCT
app01-11090	2	64	joskonat@cvut.cz	joskonat@cvut.cz	PROPN
app01-11090	2	65	abstract	abstract	NOUN
app01-11090	2	66	.	.	PUNCT
app01-11090	3	1	our	our	PRON
app01-11090	3	2	study	study	NOUN
app01-11090	3	3	focuses	focus	VERB
app01-11090	3	4	on	on	ADP
app01-11090	3	5	the	the	DET
app01-11090	3	6	optimisation	optimisation	NOUN
app01-11090	3	7	of	of	ADP
app01-11090	3	8	the	the	DET
app01-11090	3	9	internal	internal	ADJ
app01-11090	3	10	structure	structure	NOUN
app01-11090	3	11	of	of	ADP
app01-11090	3	12	unimodal	unimodal	ADJ
app01-11090	3	13	and	and	CCONJ
app01-11090	3	14	pentamodal	pentamodal	ADJ
app01-11090	3	15	metamaterials	metamaterial	NOUN
app01-11090	3	16	,	,	PUNCT
app01-11090	3	17	modelled	model	VERB
app01-11090	3	18	as	as	ADP
app01-11090	3	19	three	three	NUM
app01-11090	3	20	-	-	PUNCT
app01-11090	3	21	dimensional	dimensional	ADJ
app01-11090	3	22	linear	linear	ADJ
app01-11090	3	23	elastic	elastic	ADJ
app01-11090	3	24	lattice	lattice	NOUN
app01-11090	3	25	structures	structure	NOUN
app01-11090	3	26	.	.	PUNCT
app01-11090	4	1	for	for	ADP
app01-11090	4	2	optimisation	optimisation	NOUN
app01-11090	4	3	,	,	PUNCT
app01-11090	4	4	we	we	PRON
app01-11090	4	5	represent	represent	VERB
app01-11090	4	6	the	the	DET
app01-11090	4	7	metamaterials	metamaterial	NOUN
app01-11090	4	8	with	with	ADP
app01-11090	4	9	discrete	discrete	ADJ
app01-11090	4	10	truss	truss	NOUN
app01-11090	4	11	models	model	NOUN
app01-11090	4	12	of	of	ADP
app01-11090	4	13	their	their	PRON
app01-11090	4	14	respective	respective	ADJ
app01-11090	4	15	periodic	periodic	ADJ
app01-11090	4	16	unit	unit	NOUN
app01-11090	4	17	cells	cell	NOUN
app01-11090	4	18	(	(	PUNCT
app01-11090	4	19	pucs	pucs	NOUN
app01-11090	4	20	)	)	PUNCT
app01-11090	4	21	,	,	PUNCT
app01-11090	4	22	whose	whose	DET
app01-11090	4	23	effective	effective	ADJ
app01-11090	4	24	response	response	NOUN
app01-11090	4	25	is	be	AUX
app01-11090	4	26	determined	determine	VERB
app01-11090	4	27	by	by	ADP
app01-11090	4	28	the	the	DET
app01-11090	4	29	first	first	ADJ
app01-11090	4	30	-	-	PUNCT
app01-11090	4	31	order	order	NOUN
app01-11090	4	32	numerical	numerical	ADJ
app01-11090	4	33	homogenisation	homogenisation	NOUN
app01-11090	4	34	.	.	PUNCT
app01-11090	5	1	the	the	DET
app01-11090	5	2	optimisation	optimisation	NOUN
app01-11090	5	3	is	be	AUX
app01-11090	5	4	formulated	formulate	VERB
app01-11090	5	5	as	as	ADP
app01-11090	5	6	an	an	DET
app01-11090	5	7	inverse	inverse	NOUN
app01-11090	5	8	homogenisation	homogenisation	NOUN
app01-11090	5	9	problem	problem	NOUN
app01-11090	5	10	with	with	ADP
app01-11090	5	11	objective	objective	ADJ
app01-11090	5	12	functions	function	NOUN
app01-11090	5	13	comprising	comprise	VERB
app01-11090	5	14	a	a	DET
app01-11090	5	15	ratio	ratio	NOUN
app01-11090	5	16	of	of	ADP
app01-11090	5	17	selected	select	VERB
app01-11090	5	18	eigenvalues	eigenvalue	NOUN
app01-11090	5	19	of	of	ADP
app01-11090	5	20	the	the	DET
app01-11090	5	21	effective	effective	ADJ
app01-11090	5	22	stiffness	stiffness	ADJ
app01-11090	5	23	matrix	matrix	NOUN
app01-11090	5	24	,	,	PUNCT
app01-11090	5	25	which	which	PRON
app01-11090	5	26	allows	allow	VERB
app01-11090	5	27	us	we	PRON
app01-11090	5	28	to	to	PART
app01-11090	5	29	dispense	dispense	VERB
app01-11090	5	30	with	with	ADP
app01-11090	5	31	the	the	DET
app01-11090	5	32	traditional	traditional	ADJ
app01-11090	5	33	volume	volume	NOUN
app01-11090	5	34	constraint	constraint	NOUN
app01-11090	5	35	and	and	CCONJ
app01-11090	5	36	solve	solve	VERB
app01-11090	5	37	the	the	DET
app01-11090	5	38	optimisation	optimisation	NOUN
app01-11090	5	39	problem	problem	NOUN
app01-11090	5	40	with	with	ADP
app01-11090	5	41	a	a	DET
app01-11090	5	42	simple	simple	ADJ
app01-11090	5	43	gradient	gradient	NOUN
app01-11090	5	44	method	method	NOUN
app01-11090	5	45	combined	combine	VERB
app01-11090	5	46	with	with	ADP
app01-11090	5	47	the	the	DET
app01-11090	5	48	line	line	NOUN
app01-11090	5	49	search	search	NOUN
app01-11090	5	50	method	method	NOUN
app01-11090	5	51	.	.	PUNCT
app01-11090	6	1	we	we	PRON
app01-11090	6	2	demonstrate	demonstrate	VERB
app01-11090	6	3	the	the	DET
app01-11090	6	4	efficacy	efficacy	NOUN
app01-11090	6	5	of	of	ADP
app01-11090	6	6	the	the	DET
app01-11090	6	7	formulation	formulation	NOUN
app01-11090	6	8	with	with	ADP
app01-11090	6	9	a	a	DET
app01-11090	6	10	design	design	NOUN
app01-11090	6	11	of	of	ADP
app01-11090	6	12	a	a	DET
app01-11090	6	13	unimodal	unimodal	ADJ
app01-11090	6	14	material	material	NOUN
app01-11090	6	15	compliant	compliant	NOUN
app01-11090	6	16	in	in	ADP
app01-11090	6	17	a	a	DET
app01-11090	6	18	chosen	choose	VERB
app01-11090	6	19	shear	shear	NOUN
app01-11090	6	20	deformation	deformation	NOUN
app01-11090	6	21	mode	mode	NOUN
app01-11090	6	22	and	and	CCONJ
app01-11090	6	23	we	we	PRON
app01-11090	6	24	also	also	ADV
app01-11090	6	25	show	show	VERB
app01-11090	6	26	that	that	SCONJ
app01-11090	6	27	our	our	PRON
app01-11090	6	28	formulation	formulation	NOUN
app01-11090	6	29	recovers	recover	VERB
app01-11090	6	30	the	the	DET
app01-11090	6	31	traditional	traditional	ADJ
app01-11090	6	32	pentamodal	pentamodal	ADJ
app01-11090	6	33	metafluid	metafluid	PROPN
app01-11090	6	34	.	.	PUNCT
app01-11090	7	1	keywords	keyword	NOUN
app01-11090	7	2	:	:	PUNCT
app01-11090	7	3	optimisation	optimisation	NOUN
app01-11090	7	4	,	,	PUNCT
app01-11090	7	5	unimodal	unimodal	ADJ
app01-11090	7	6	metamaterial	metamaterial	NOUN
app01-11090	7	7	,	,	PUNCT
app01-11090	7	8	pentamodal	pentamodal	ADJ
app01-11090	7	9	metamaterial	metamaterial	NOUN
app01-11090	7	10	,	,	PUNCT
app01-11090	7	11	first	first	ADJ
app01-11090	7	12	-	-	PUNCT
app01-11090	7	13	order	order	NOUN
app01-11090	7	14	homogenisation	homogenisation	NOUN
app01-11090	7	15	,	,	PUNCT
app01-11090	7	16	periodic	periodic	ADJ
app01-11090	7	17	unit	unit	NOUN
app01-11090	7	18	cell	cell	NOUN
app01-11090	7	19	.	.	PUNCT
app01-11090	8	1	1	1	X
app01-11090	8	2	.	.	X
app01-11090	8	3	introduction	introduction	NOUN
app01-11090	8	4	metamaterials	metamaterial	NOUN
app01-11090	8	5	have	have	VERB
app01-11090	8	6	physical	physical	ADJ
app01-11090	8	7	properties	property	NOUN
app01-11090	8	8	that	that	PRON
app01-11090	8	9	surpass	surpass	VERB
app01-11090	8	10	those	those	PRON
app01-11090	8	11	commonly	commonly	ADV
app01-11090	8	12	found	find	VERB
app01-11090	8	13	in	in	ADP
app01-11090	8	14	nature	nature	NOUN
app01-11090	8	15	.	.	PUNCT
app01-11090	9	1	moreover	moreover	ADV
app01-11090	9	2	,	,	PUNCT
app01-11090	9	3	these	these	DET
app01-11090	9	4	unique	unique	ADJ
app01-11090	9	5	properties	property	NOUN
app01-11090	9	6	arise	arise	VERB
app01-11090	9	7	primarily	primarily	ADV
app01-11090	9	8	from	from	ADP
app01-11090	9	9	the	the	DET
app01-11090	9	10	microstructure	microstructure	NOUN
app01-11090	9	11	of	of	ADP
app01-11090	9	12	metamaterials	metamaterial	NOUN
app01-11090	9	13	rather	rather	ADV
app01-11090	9	14	than	than	ADP
app01-11090	9	15	the	the	DET
app01-11090	9	16	chemical	chemical	ADJ
app01-11090	9	17	or	or	CCONJ
app01-11090	9	18	physical	physical	ADJ
app01-11090	9	19	characteristics	characteristic	NOUN
app01-11090	9	20	of	of	ADP
app01-11090	9	21	their	their	PRON
app01-11090	9	22	bulk	bulk	ADJ
app01-11090	9	23	constituents	constituent	NOUN
app01-11090	9	24	[	[	X
app01-11090	9	25	1	1	NUM
app01-11090	9	26	]	]	PUNCT
app01-11090	9	27	.	.	PUNCT
app01-11090	10	1	in	in	ADP
app01-11090	10	2	our	our	PRON
app01-11090	10	3	study	study	NOUN
app01-11090	10	4	,	,	PUNCT
app01-11090	10	5	we	we	PRON
app01-11090	10	6	focus	focus	VERB
app01-11090	10	7	on	on	ADP
app01-11090	10	8	three	three	NUM
app01-11090	10	9	-	-	PUNCT
app01-11090	10	10	dimensional	dimensional	ADJ
app01-11090	10	11	unimodal	unimodal	ADJ
app01-11090	10	12	and	and	CCONJ
app01-11090	10	13	pentamodal	pentamodal	ADJ
app01-11090	10	14	mechanical	mechanical	ADJ
app01-11090	10	15	metamaterials	metamaterial	NOUN
app01-11090	10	16	[	[	X
app01-11090	10	17	2	2	NUM
app01-11090	10	18	]	]	PUNCT
app01-11090	10	19	.	.	PUNCT
app01-11090	11	1	the	the	DET
app01-11090	11	2	modality	modality	NOUN
app01-11090	11	3	of	of	ADP
app01-11090	11	4	these	these	DET
app01-11090	11	5	materials	material	NOUN
app01-11090	11	6	is	be	AUX
app01-11090	11	7	derived	derive	VERB
app01-11090	11	8	from	from	ADP
app01-11090	11	9	the	the	DET
app01-11090	11	10	number	number	NOUN
app01-11090	11	11	of	of	ADP
app01-11090	11	12	free	free	ADJ
app01-11090	11	13	modes	mode	NOUN
app01-11090	11	14	of	of	ADP
app01-11090	11	15	deformation	deformation	NOUN
app01-11090	11	16	[	[	X
app01-11090	11	17	3	3	NUM
app01-11090	11	18	]	]	PUNCT
app01-11090	11	19	,	,	PUNCT
app01-11090	11	20	i.e.	i.e.	X
app01-11090	11	21	,	,	PUNCT
app01-11090	11	22	homogeneous	homogeneous	ADJ
app01-11090	11	23	deformations	deformation	NOUN
app01-11090	11	24	that	that	PRON
app01-11090	11	25	do	do	AUX
app01-11090	11	26	not	not	PART
app01-11090	11	27	result	result	VERB
app01-11090	11	28	in	in	ADP
app01-11090	11	29	an	an	DET
app01-11090	11	30	increase	increase	NOUN
app01-11090	11	31	in	in	ADP
app01-11090	11	32	the	the	DET
app01-11090	11	33	stored	store	VERB
app01-11090	11	34	strain	strain	NOUN
app01-11090	11	35	energy	energy	NOUN
app01-11090	11	36	.	.	PUNCT
app01-11090	12	1	in	in	ADP
app01-11090	12	2	particular	particular	ADJ
app01-11090	12	3	,	,	PUNCT
app01-11090	12	4	a	a	DET
app01-11090	12	5	unimodal	unimodal	ADJ
app01-11090	12	6	metamaterial	metamaterial	NOUN
app01-11090	12	7	is	be	AUX
app01-11090	12	8	pliable	pliable	ADJ
app01-11090	12	9	in	in	ADP
app01-11090	12	10	one	one	NUM
app01-11090	12	11	specific	specific	ADJ
app01-11090	12	12	direction	direction	NOUN
app01-11090	12	13	but	but	CCONJ
app01-11090	12	14	very	very	ADV
app01-11090	12	15	stiff	stiff	ADJ
app01-11090	12	16	in	in	ADP
app01-11090	12	17	the	the	DET
app01-11090	12	18	other	other	ADJ
app01-11090	12	19	modes	mode	NOUN
app01-11090	12	20	of	of	ADP
app01-11090	12	21	deformation	deformation	NOUN
app01-11090	12	22	.	.	PUNCT
app01-11090	13	1	conversely	conversely	ADV
app01-11090	13	2	,	,	PUNCT
app01-11090	13	3	pentamodal	pentamodal	ADJ
app01-11090	13	4	metamaterials	metamaterial	NOUN
app01-11090	13	5	behave	behave	VERB
app01-11090	13	6	like	like	ADP
app01-11090	13	7	a	a	DET
app01-11090	13	8	fluid	fluid	NOUN
app01-11090	13	9	(	(	PUNCT
app01-11090	13	10	sometimes	sometimes	ADV
app01-11090	13	11	pentamodal	pentamodal	ADJ
app01-11090	13	12	metamaterials	metamaterial	NOUN
app01-11090	13	13	are	be	AUX
app01-11090	13	14	called	call	VERB
app01-11090	13	15	metafluids	metafluid	NOUN
app01-11090	13	16	)	)	PUNCT
app01-11090	13	17	,	,	PUNCT
app01-11090	13	18	i.e.	i.e.	X
app01-11090	13	19	,	,	PUNCT
app01-11090	13	20	while	while	SCONJ
app01-11090	13	21	they	they	PRON
app01-11090	13	22	are	be	AUX
app01-11090	13	23	almost	almost	ADV
app01-11090	13	24	incompressible	incompressible	ADJ
app01-11090	13	25	,	,	PUNCT
app01-11090	13	26	they	they	PRON
app01-11090	13	27	can	can	AUX
app01-11090	13	28	be	be	AUX
app01-11090	13	29	easily	easily	ADV
app01-11090	13	30	deformed	deform	VERB
app01-11090	13	31	in	in	ADP
app01-11090	13	32	a	a	DET
app01-11090	13	33	deviatoric	deviatoric	ADJ
app01-11090	13	34	way	way	NOUN
app01-11090	13	35	.	.	PUNCT
app01-11090	14	1	because	because	SCONJ
app01-11090	14	2	of	of	ADP
app01-11090	14	3	their	their	PRON
app01-11090	14	4	unique	unique	ADJ
app01-11090	14	5	properties	property	NOUN
app01-11090	14	6	,	,	PUNCT
app01-11090	14	7	these	these	DET
app01-11090	14	8	metamaterials	metamaterial	NOUN
app01-11090	14	9	can	can	AUX
app01-11090	14	10	be	be	AUX
app01-11090	14	11	applied	apply	VERB
app01-11090	14	12	in	in	ADP
app01-11090	14	13	various	various	ADJ
app01-11090	14	14	advanced	advanced	ADJ
app01-11090	14	15	fields	field	NOUN
app01-11090	14	16	.	.	PUNCT
app01-11090	15	1	one	one	NUM
app01-11090	15	2	of	of	ADP
app01-11090	15	3	the	the	DET
app01-11090	15	4	most	most	ADV
app01-11090	15	5	extensively	extensively	ADV
app01-11090	15	6	researched	research	VERB
app01-11090	15	7	applications	application	NOUN
app01-11090	15	8	is	be	AUX
app01-11090	15	9	their	their	PRON
app01-11090	15	10	ability	ability	NOUN
app01-11090	15	11	to	to	PART
app01-11090	15	12	create	create	VERB
app01-11090	15	13	acoustic	acoustic	ADJ
app01-11090	15	14	band	band	NOUN
app01-11090	15	15	gaps	gap	NOUN
app01-11090	15	16	–	–	PUNCT
app01-11090	15	17	specific	specific	ADJ
app01-11090	15	18	frequency	frequency	NOUN
app01-11090	15	19	ranges	range	VERB
app01-11090	15	20	in	in	ADP
app01-11090	15	21	which	which	PRON
app01-11090	15	22	sound	sound	NOUN
app01-11090	15	23	waves	wave	NOUN
app01-11090	15	24	are	be	AUX
app01-11090	15	25	unable	unable	ADJ
app01-11090	15	26	to	to	PART
app01-11090	15	27	propagate	propagate	VERB
app01-11090	15	28	through	through	ADP
app01-11090	15	29	the	the	DET
app01-11090	15	30	material	material	NOUN
app01-11090	15	31	due	due	ADJ
app01-11090	15	32	to	to	ADP
app01-11090	15	33	disrupted	disrupt	VERB
app01-11090	15	34	transmission	transmission	NOUN
app01-11090	15	35	[	[	X
app01-11090	15	36	4	4	NUM
app01-11090	15	37	,	,	PUNCT
app01-11090	15	38	5	5	NUM
app01-11090	15	39	]	]	PUNCT
app01-11090	15	40	.	.	PUNCT
app01-11090	16	1	this	this	DET
app01-11090	16	2	behaviour	behaviour	NOUN
app01-11090	16	3	makes	make	VERB
app01-11090	16	4	them	they	PRON
app01-11090	16	5	highly	highly	ADV
app01-11090	16	6	effective	effective	ADJ
app01-11090	16	7	for	for	ADP
app01-11090	16	8	applications	application	NOUN
app01-11090	16	9	in	in	ADP
app01-11090	16	10	noise	noise	NOUN
app01-11090	16	11	control	control	NOUN
app01-11090	16	12	,	,	PUNCT
app01-11090	16	13	vibration	vibration	NOUN
app01-11090	16	14	isolation	isolation	NOUN
app01-11090	16	15	,	,	PUNCT
app01-11090	16	16	and	and	CCONJ
app01-11090	16	17	acoustic	acoustic	ADJ
app01-11090	16	18	filtering	filtering	NOUN
app01-11090	16	19	,	,	PUNCT
app01-11090	16	20	even	even	ADV
app01-11090	16	21	underwater	underwater	ADJ
app01-11090	16	22	[	[	X
app01-11090	16	23	6	6	NUM
app01-11090	16	24	]	]	PUNCT
app01-11090	16	25	.	.	PUNCT
app01-11090	17	1	another	another	DET
app01-11090	17	2	potential	potential	ADJ
app01-11090	17	3	application	application	NOUN
app01-11090	17	4	is	be	AUX
app01-11090	17	5	for	for	ADP
app01-11090	17	6	cloaking	cloaking	NOUN
app01-11090	17	7	devices	device	NOUN
app01-11090	17	8	that	that	PRON
app01-11090	17	9	transform	transform	VERB
app01-11090	17	10	waves	wave	NOUN
app01-11090	17	11	to	to	PART
app01-11090	17	12	make	make	VERB
app01-11090	17	13	objects	object	NOUN
app01-11090	17	14	invisible	invisible	ADJ
app01-11090	17	15	or	or	CCONJ
app01-11090	17	16	undetectable	undetectable	ADJ
app01-11090	17	17	by	by	ADP
app01-11090	17	18	bending	bend	VERB
app01-11090	17	19	light	light	NOUN
app01-11090	17	20	or	or	CCONJ
app01-11090	17	21	sound	sound	ADJ
app01-11090	17	22	,	,	PUNCT
app01-11090	17	23	effectively	effectively	ADV
app01-11090	17	24	preventing	prevent	VERB
app01-11090	17	25	detection	detection	NOUN
app01-11090	17	26	or	or	CCONJ
app01-11090	17	27	visual	visual	ADJ
app01-11090	17	28	observation	observation	NOUN
app01-11090	17	29	[	[	X
app01-11090	17	30	7	7	NUM
app01-11090	17	31	]	]	PUNCT
app01-11090	17	32	.	.	PUNCT
app01-11090	18	1	the	the	DET
app01-11090	18	2	ability	ability	NOUN
app01-11090	18	3	to	to	PART
app01-11090	18	4	control	control	VERB
app01-11090	18	5	the	the	DET
app01-11090	18	6	propagation	propagation	NOUN
app01-11090	18	7	of	of	ADP
app01-11090	18	8	elastic	elastic	ADJ
app01-11090	18	9	waves	wave	NOUN
app01-11090	18	10	also	also	ADV
app01-11090	18	11	makes	make	VERB
app01-11090	18	12	them	they	PRON
app01-11090	18	13	highly	highly	ADV
app01-11090	18	14	effective	effective	ADJ
app01-11090	18	15	for	for	ADP
app01-11090	18	16	seismic	seismic	ADJ
app01-11090	18	17	isolation	isolation	NOUN
app01-11090	18	18	[	[	X
app01-11090	18	19	8	8	NUM
app01-11090	18	20	,	,	PUNCT
app01-11090	18	21	9	9	NUM
app01-11090	18	22	]	]	PUNCT
app01-11090	18	23	.	.	PUNCT
app01-11090	19	1	multimodal	multimodal	NOUN
app01-11090	19	2	metamaterials	metamaterial	NOUN
app01-11090	19	3	have	have	AUX
app01-11090	19	4	garnered	garner	VERB
app01-11090	19	5	significant	significant	ADJ
app01-11090	19	6	research	research	NOUN
app01-11090	19	7	interest	interest	NOUN
app01-11090	19	8	,	,	PUNCT
app01-11090	19	9	with	with	ADP
app01-11090	19	10	pentamodal	pentamodal	ADJ
app01-11090	19	11	metamaterials	metamaterial	NOUN
app01-11090	19	12	being	be	AUX
app01-11090	19	13	a	a	DET
app01-11090	19	14	primary	primary	ADJ
app01-11090	19	15	focus	focus	NOUN
app01-11090	19	16	.	.	PUNCT
app01-11090	20	1	however	however	ADV
app01-11090	20	2	,	,	PUNCT
app01-11090	20	3	much	much	ADJ
app01-11090	20	4	of	of	ADP
app01-11090	20	5	the	the	DET
app01-11090	20	6	research	research	NOUN
app01-11090	20	7	involves	involve	VERB
app01-11090	20	8	modifying	modify	VERB
app01-11090	20	9	the	the	DET
app01-11090	20	10	original	original	ADJ
app01-11090	20	11	pentamodal	pentamodal	NOUN
app01-11090	20	12	structure	structure	NOUN
app01-11090	20	13	introduced	introduce	VERB
app01-11090	20	14	by	by	ADP
app01-11090	20	15	milton	milton	PROPN
app01-11090	20	16	and	and	CCONJ
app01-11090	20	17	cherkaev	cherkaev	PROPN
app01-11090	21	1	[	[	X
app01-11090	21	2	3	3	X
app01-11090	21	3	]	]	PUNCT
app01-11090	21	4	to	to	PART
app01-11090	21	5	enhance	enhance	VERB
app01-11090	21	6	its	its	PRON
app01-11090	21	7	overall	overall	ADJ
app01-11090	21	8	performance	performance	NOUN
app01-11090	21	9	.	.	PUNCT
app01-11090	22	1	this	this	PRON
app01-11090	22	2	includes	include	VERB
app01-11090	22	3	investigating	investigate	VERB
app01-11090	22	4	different	different	ADJ
app01-11090	22	5	shapes	shape	NOUN
app01-11090	23	1	[	[	X
app01-11090	23	2	11	11	NUM
app01-11090	23	3	]	]	PUNCT
app01-11090	23	4	and	and	CCONJ
app01-11090	23	5	sizes	size	NOUN
app01-11090	24	1	[	[	X
app01-11090	24	2	12	12	NUM
app01-11090	24	3	]	]	PUNCT
app01-11090	24	4	of	of	ADP
app01-11090	24	5	cross	cross	ADJ
app01-11090	24	6	-	-	ADJ
app01-11090	24	7	sectional	sectional	ADJ
app01-11090	24	8	areas	area	NOUN
app01-11090	24	9	,	,	PUNCT
app01-11090	24	10	adding	add	VERB
app01-11090	24	11	spherical	spherical	ADJ
app01-11090	24	12	masses	masse	NOUN
app01-11090	24	13	to	to	ADP
app01-11090	24	14	the	the	DET
app01-11090	24	15	nodes	node	NOUN
app01-11090	24	16	[	[	X
app01-11090	24	17	13	13	NUM
app01-11090	24	18	]	]	PUNCT
app01-11090	24	19	and	and	CCONJ
app01-11090	24	20	incorporating	incorporate	VERB
app01-11090	24	21	stiffening	stiffening	NOUN
app01-11090	24	22	plates	plate	NOUN
app01-11090	24	23	between	between	ADP
app01-11090	24	24	the	the	DET
app01-11090	24	25	metamaterial	metamaterial	ADJ
app01-11090	24	26	layers	layer	NOUN
app01-11090	24	27	[	[	X
app01-11090	24	28	14	14	NUM
app01-11090	24	29	]	]	PUNCT
app01-11090	24	30	,	,	PUNCT
app01-11090	24	31	even	even	ADV
app01-11090	24	32	with	with	ADP
app01-11090	24	33	different	different	ADJ
app01-11090	24	34	microstructures	microstructure	NOUN
app01-11090	24	35	[	[	X
app01-11090	24	36	10	10	NUM
app01-11090	24	37	]	]	PUNCT
app01-11090	24	38	.	.	PUNCT
app01-11090	25	1	in	in	ADP
app01-11090	25	2	addition	addition	NOUN
app01-11090	25	3	,	,	PUNCT
app01-11090	25	4	researchers	researcher	NOUN
app01-11090	25	5	managed	manage	VERB
app01-11090	25	6	both	both	PRON
app01-11090	25	7	to	to	PART
app01-11090	25	8	introduce	introduce	VERB
app01-11090	25	9	anisotropy	anisotropy	NOUN
app01-11090	25	10	by	by	ADP
app01-11090	25	11	shifting	shift	VERB
app01-11090	25	12	the	the	DET
app01-11090	25	13	central	central	ADJ
app01-11090	25	14	part	part	NOUN
app01-11090	25	15	of	of	ADP
app01-11090	25	16	the	the	DET
app01-11090	25	17	microstructure	microstructure	NOUN
app01-11090	25	18	[	[	X
app01-11090	25	19	15	15	NUM
app01-11090	25	20	,	,	PUNCT
app01-11090	25	21	16	16	NUM
app01-11090	25	22	]	]	PUNCT
app01-11090	25	23	,	,	PUNCT
app01-11090	25	24	and	and	CCONJ
app01-11090	25	25	,	,	PUNCT
app01-11090	25	26	conversely	conversely	ADV
app01-11090	25	27	,	,	PUNCT
app01-11090	25	28	employ	employ	VERB
app01-11090	25	29	symmetrical	symmetrical	ADJ
app01-11090	25	30	designs	design	NOUN
app01-11090	25	31	[	[	X
app01-11090	25	32	17	17	NUM
app01-11090	25	33	]	]	PUNCT
app01-11090	25	34	.	.	PUNCT
app01-11090	26	1	in	in	ADP
app01-11090	26	2	contrast	contrast	NOUN
app01-11090	26	3	,	,	PUNCT
app01-11090	26	4	optimising	optimise	VERB
app01-11090	26	5	metamaterial	metamaterial	ADJ
app01-11090	26	6	topology	topology	NOUN
app01-11090	26	7	through	through	ADP
app01-11090	26	8	inverse	inverse	NOUN
app01-11090	26	9	homogenisation	homogenisation	NOUN
app01-11090	26	10	,	,	PUNCT
app01-11090	26	11	pioneered	pioneer	VERB
app01-11090	26	12	by	by	ADP
app01-11090	26	13	the	the	DET
app01-11090	26	14	seminal	seminal	ADJ
app01-11090	26	15	work	work	NOUN
app01-11090	26	16	of	of	ADP
app01-11090	26	17	sigmund	sigmund	NOUN
app01-11090	26	18	[	[	X
app01-11090	26	19	18	18	NUM
app01-11090	26	20	]	]	PUNCT
app01-11090	26	21	,	,	PUNCT
app01-11090	26	22	often	often	ADV
app01-11090	26	23	revolves	revolve	VERB
app01-11090	26	24	around	around	ADP
app01-11090	26	25	enhancing	enhance	VERB
app01-11090	26	26	the	the	DET
app01-11090	26	27	bulk	bulk	ADJ
app01-11090	26	28	or	or	CCONJ
app01-11090	26	29	shear	shear	NOUN
app01-11090	26	30	modulus	modulus	NOUN
app01-11090	26	31	[	[	X
app01-11090	26	32	19	19	NUM
app01-11090	26	33	]	]	PUNCT
app01-11090	26	34	,	,	PUNCT
app01-11090	26	35	tailoring	tailor	VERB
app01-11090	26	36	poisson	poisson	NOUN
app01-11090	26	37	’s	’s	PART
app01-11090	26	38	ratio	ratio	NOUN
app01-11090	26	39	[	[	X
app01-11090	26	40	20	20	NUM
app01-11090	26	41	]	]	PUNCT
app01-11090	26	42	,	,	PUNCT
app01-11090	26	43	and	and	CCONJ
app01-11090	26	44	designing	design	VERB
app01-11090	26	45	materials	material	NOUN
app01-11090	26	46	that	that	PRON
app01-11090	26	47	are	be	AUX
app01-11090	26	48	both	both	ADV
app01-11090	26	49	lightweight	lightweight	ADJ
app01-11090	26	50	and	and	CCONJ
app01-11090	26	51	stiff	stiff	ADJ
app01-11090	26	52	[	[	X
app01-11090	26	53	21	21	NUM
app01-11090	26	54	]	]	PUNCT
app01-11090	26	55	or	or	CCONJ
app01-11090	26	56	that	that	PRON
app01-11090	26	57	follow	follow	VERB
app01-11090	26	58	a	a	DET
app01-11090	26	59	predefined	predefine	VERB
app01-11090	26	60	macroscopic	macroscopic	ADJ
app01-11090	26	61	response	response	NOUN
app01-11090	26	62	in	in	ADP
app01-11090	26	63	the	the	DET
app01-11090	26	64	case	case	NOUN
app01-11090	26	65	of	of	ADP
app01-11090	26	66	nonlinear	nonlinear	ADJ
app01-11090	26	67	models	model	NOUN
app01-11090	26	68	[	[	X
app01-11090	26	69	22	22	NUM
app01-11090	26	70	]	]	PUNCT
app01-11090	26	71	.	.	PUNCT
app01-11090	27	1	relatively	relatively	ADV
app01-11090	27	2	few	few	ADJ
app01-11090	27	3	studies	study	NOUN
app01-11090	27	4	have	have	AUX
app01-11090	27	5	focused	focus	VERB
app01-11090	27	6	on	on	ADP
app01-11090	27	7	optimising	optimise	VERB
app01-11090	27	8	multimodal	multimodal	ADJ
app01-11090	27	9	metamaterial	metamaterial	ADJ
app01-11090	27	10	microstructures	microstructure	NOUN
app01-11090	27	11	.	.	PUNCT
app01-11090	28	1	in	in	ADP
app01-11090	28	2	addition	addition	NOUN
app01-11090	28	3	to	to	ADP
app01-11090	28	4	inverse	inverse	ADJ
app01-11090	28	5	homogenisation	homogenisation	NOUN
app01-11090	28	6	,	,	PUNCT
app01-11090	28	7	genetic	genetic	ADJ
app01-11090	28	8	algorithms	algorithm	NOUN
app01-11090	28	9	have	have	AUX
app01-11090	28	10	been	be	AUX
app01-11090	28	11	used	use	VERB
app01-11090	28	12	to	to	PART
app01-11090	28	13	optimise	optimise	VERB
app01-11090	28	14	the	the	DET
app01-11090	28	15	ratio	ratio	NOUN
app01-11090	28	16	of	of	ADP
app01-11090	28	17	eigenfrequencies	eigenfrequencie	NOUN
app01-11090	28	18	[	[	X
app01-11090	28	19	23	23	NUM
app01-11090	28	20	]	]	PUNCT
app01-11090	28	21	and	and	CCONJ
app01-11090	28	22	components	component	NOUN
app01-11090	28	23	of	of	ADP
app01-11090	28	24	the	the	DET
app01-11090	28	25	homogenised	homogenised	ADJ
app01-11090	28	26	stiffness	stiffness	ADJ
app01-11090	28	27	matrix	matrix	NOUN
app01-11090	28	28	[	[	X
app01-11090	28	29	24	24	NUM
app01-11090	28	30	]	]	PUNCT
app01-11090	28	31	,	,	PUNCT
app01-11090	28	32	or	or	CCONJ
app01-11090	28	33	to	to	PART
app01-11090	28	34	maximise	maximise	VERB
app01-11090	28	35	bandwidth	bandwidth	NOUN
app01-11090	28	36	[	[	X
app01-11090	28	37	25	25	NUM
app01-11090	28	38	]	]	PUNCT
app01-11090	28	39	to	to	PART
app01-11090	28	40	improve	improve	VERB
app01-11090	28	41	the	the	DET
app01-11090	28	42	acoustic	acoustic	ADJ
app01-11090	28	43	band	band	NOUN
app01-11090	28	44	gap	gap	NOUN
app01-11090	28	45	.	.	PUNCT
app01-11090	29	1	in	in	ADP
app01-11090	29	2	this	this	DET
app01-11090	29	3	work	work	NOUN
app01-11090	29	4	,	,	PUNCT
app01-11090	29	5	we	we	PRON
app01-11090	29	6	use	use	VERB
app01-11090	29	7	the	the	DET
app01-11090	29	8	inverse	inverse	ADJ
app01-11090	29	9	homogenisation	homogenisation	NOUN
app01-11090	29	10	with	with	ADP
app01-11090	29	11	the	the	DET
app01-11090	29	12	objective	objective	ADJ
app01-11090	29	13	function	function	NOUN
app01-11090	29	14	based	base	VERB
app01-11090	29	15	on	on	ADP
app01-11090	29	16	the	the	DET
app01-11090	29	17	ratio	ratio	NOUN
app01-11090	29	18	of	of	ADP
app01-11090	29	19	effective	effective	ADJ
app01-11090	29	20	stiffness	stiffness	NOUN
app01-11090	29	21	’s	’s	PART
app01-11090	29	22	eigenvalues	eigenvalue	NOUN
app01-11090	29	23	(	(	PUNCT
app01-11090	29	24	or	or	CCONJ
app01-11090	29	25	its	its	PRON
app01-11090	29	26	analogues	analogue	NOUN
app01-11090	29	27	)	)	PUNCT
app01-11090	29	28	,	,	PUNCT
app01-11090	29	29	distinct	distinct	ADJ
app01-11090	29	30	from	from	ADP
app01-11090	29	31	previously	previously	ADV
app01-11090	29	32	discussed	discuss	VERB
app01-11090	29	33	approaches	approach	NOUN
app01-11090	29	34	.	.	PUNCT
app01-11090	30	1	our	our	PRON
app01-11090	30	2	approach	approach	NOUN
app01-11090	30	3	allows	allow	VERB
app01-11090	30	4	for	for	ADP
app01-11090	30	5	the	the	DET
app01-11090	30	6	optimisation	optimisation	NOUN
app01-11090	30	7	of	of	ADP
app01-11090	30	8	specific	specific	ADJ
app01-11090	30	9	deformation	deformation	NOUN
app01-11090	30	10	modes	mode	NOUN
app01-11090	30	11	and	and	CCONJ
app01-11090	30	12	enables	enable	VERB
app01-11090	30	13	the	the	DET
app01-11090	30	14	analytical	analytical	ADJ
app01-11090	30	15	expression	expression	NOUN
app01-11090	30	16	of	of	ADP
app01-11090	30	17	the	the	DET
app01-11090	30	18	objective	objective	ADJ
app01-11090	30	19	function	function	NOUN
app01-11090	30	20	’s	’s	PART
app01-11090	30	21	gradient	gradient	NOUN
app01-11090	30	22	.	.	PUNCT
app01-11090	31	1	in	in	ADP
app01-11090	31	2	addition	addition	NOUN
app01-11090	31	3	,	,	PUNCT
app01-11090	31	4	it	it	PRON
app01-11090	31	5	naturally	naturally	ADV
app01-11090	31	6	avoids	avoid	VERB
app01-11090	31	7	34	34	NUM
app01-11090	31	8	https://doi.org/10.14311/app.2025.54.0034	https://doi.org/10.14311/app.2025.54.0034	NOUN
app01-11090	31	9	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
app01-11090	31	10	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
app01-11090	31	11	vol	vol	NOUN
app01-11090	31	12	.	.	PUNCT
app01-11090	32	1	54/2025	54/2025	NUM
app01-11090	32	2	optimising	optimise	VERB
app01-11090	32	3	truss	truss	NOUN
app01-11090	32	4	-	-	PUNCT
app01-11090	32	5	based	base	VERB
app01-11090	32	6	metamaterials	metamaterial	NOUN
app01-11090	32	7	for	for	ADP
app01-11090	32	8	unimodal	unimodal	ADJ
app01-11090	32	9	.	.	PUNCT
app01-11090	32	10	.	.	PUNCT
app01-11090	33	1	.	.	PUNCT
app01-11090	34	1	0	0	NUM
app01-11090	34	2	1	1	NUM
app01-11090	34	3	y	y	PROPN
app01-11090	34	4	0.5	0.5	NUM
app01-11090	34	5	0.8	0.8	NUM
app01-11090	34	6	0.6	0.6	NUM
app01-11090	34	7	z	z	NOUN
app01-11090	34	8	0.4	0.4	NUM
app01-11090	34	9	0	0	NUM
app01-11090	34	10	0.2	0.2	NUM
app01-11090	34	11	0	0	NUM
app01-11090	34	12	x	x	SYM
app01-11090	34	13	0.5	0.5	NUM
app01-11090	34	14	11	11	NUM
app01-11090	34	15	0	0	NUM
app01-11090	34	16	2	2	NUM
app01-11090	34	17	y	y	PROPN
app01-11090	34	18	1	1	NUM
app01-11090	34	19	1.5	1.5	NUM
app01-11090	34	20	1	1	NUM
app01-11090	34	21	z	z	NOUN
app01-11090	34	22	0	0	NUM
app01-11090	34	23	0.5	0.5	NUM
app01-11090	34	24	0	0	NUM
app01-11090	34	25	0.5	0.5	NUM
app01-11090	34	26	x	x	SYM
app01-11090	34	27	1	1	NUM
app01-11090	34	28	1.5	1.5	NUM
app01-11090	34	29	22	22	NUM
app01-11090	34	30	figure	figure	NOUN
app01-11090	34	31	1	1	NUM
app01-11090	34	32	.	.	PUNCT
app01-11090	34	33	two	two	NUM
app01-11090	34	34	periodic	periodic	ADJ
app01-11090	34	35	ground	ground	NOUN
app01-11090	34	36	structures	structure	NOUN
app01-11090	34	37	considered	consider	VERB
app01-11090	34	38	in	in	ADP
app01-11090	34	39	the	the	DET
app01-11090	34	40	study	study	NOUN
app01-11090	34	41	:	:	PUNCT
app01-11090	34	42	smaller	small	ADJ
app01-11090	34	43	ground	ground	NOUN
app01-11090	34	44	structure	structure	NOUN
app01-11090	34	45	with	with	ADP
app01-11090	34	46	dimensions	dimension	NOUN
app01-11090	34	47	of	of	ADP
app01-11090	34	48	1	1	NUM
app01-11090	34	49	×	×	NOUN
app01-11090	34	50	1	1	NUM
app01-11090	34	51	×	×	NOUN
app01-11090	34	52	1	1	NUM
app01-11090	34	53	(	(	PUNCT
app01-11090	34	54	left	leave	VERB
app01-11090	34	55	)	)	PUNCT
app01-11090	34	56	and	and	CCONJ
app01-11090	34	57	larger	large	ADJ
app01-11090	34	58	ground	ground	NOUN
app01-11090	34	59	structure	structure	NOUN
app01-11090	34	60	with	with	ADP
app01-11090	34	61	dimensions	dimension	NOUN
app01-11090	34	62	of	of	ADP
app01-11090	34	63	2	2	NUM
app01-11090	34	64	×	×	NOUN
app01-11090	34	65	2	2	NUM
app01-11090	34	66	×	×	NOUN
app01-11090	34	67	2	2	NUM
app01-11090	34	68	(	(	PUNCT
app01-11090	34	69	right	right	NOUN
app01-11090	34	70	)	)	PUNCT
app01-11090	34	71	.	.	PUNCT
app01-11090	35	1	the	the	DET
app01-11090	35	2	need	need	NOUN
app01-11090	35	3	for	for	ADP
app01-11090	35	4	the	the	DET
app01-11090	35	5	volume	volume	NOUN
app01-11090	35	6	constraint	constraint	NOUN
app01-11090	35	7	.	.	PUNCT
app01-11090	36	1	to	to	PART
app01-11090	36	2	keep	keep	VERB
app01-11090	36	3	this	this	DET
app01-11090	36	4	contribution	contribution	NOUN
app01-11090	36	5	self	self	NOUN
app01-11090	36	6	-	-	PUNCT
app01-11090	36	7	contained	contain	VERB
app01-11090	36	8	,	,	PUNCT
app01-11090	36	9	the	the	DET
app01-11090	36	10	methodology	methodology	NOUN
app01-11090	36	11	section	section	NOUN
app01-11090	36	12	briefly	briefly	NOUN
app01-11090	36	13	covers	cover	VERB
app01-11090	36	14	also	also	ADV
app01-11090	36	15	the	the	DET
app01-11090	36	16	essentials	essential	NOUN
app01-11090	36	17	of	of	ADP
app01-11090	36	18	the	the	DET
app01-11090	36	19	first	first	ADJ
app01-11090	36	20	-	-	PUNCT
app01-11090	36	21	order	order	NOUN
app01-11090	36	22	homogenisation	homogenisation	NOUN
app01-11090	36	23	(	(	PUNCT
app01-11090	36	24	section	section	NOUN
app01-11090	36	25	2.1	2.1	NUM
app01-11090	36	26	)	)	PUNCT
app01-11090	36	27	in	in	ADP
app01-11090	36	28	addition	addition	NOUN
app01-11090	36	29	to	to	ADP
app01-11090	36	30	the	the	DET
app01-11090	36	31	objective	objective	ADJ
app01-11090	36	32	formulation	formulation	NOUN
app01-11090	36	33	and	and	CCONJ
app01-11090	36	34	the	the	DET
app01-11090	36	35	adopted	adopt	VERB
app01-11090	36	36	optimisation	optimisation	NOUN
app01-11090	36	37	strategy	strategy	NOUN
app01-11090	36	38	(	(	PUNCT
app01-11090	36	39	section	section	NOUN
app01-11090	36	40	2.3	2.3	NUM
app01-11090	36	41	)	)	PUNCT
app01-11090	36	42	.	.	PUNCT
app01-11090	37	1	we	we	PRON
app01-11090	37	2	demonstrate	demonstrate	VERB
app01-11090	37	3	the	the	DET
app01-11090	37	4	efficacy	efficacy	NOUN
app01-11090	37	5	of	of	ADP
app01-11090	37	6	the	the	DET
app01-11090	37	7	proposed	propose	VERB
app01-11090	37	8	objective	objective	ADJ
app01-11090	37	9	formulation	formulation	NOUN
app01-11090	37	10	with	with	ADP
app01-11090	37	11	two	two	NUM
app01-11090	37	12	examples	example	NOUN
app01-11090	37	13	(	(	PUNCT
app01-11090	37	14	one	one	NUM
app01-11090	37	15	for	for	ADP
app01-11090	37	16	the	the	DET
app01-11090	37	17	unimodal	unimodal	ADJ
app01-11090	37	18	and	and	CCONJ
app01-11090	37	19	one	one	NUM
app01-11090	37	20	for	for	ADP
app01-11090	37	21	pentamodal	pentamodal	ADJ
app01-11090	37	22	metamaterial	metamaterial	NOUN
app01-11090	37	23	)	)	PUNCT
app01-11090	37	24	in	in	ADP
app01-11090	37	25	section	section	NOUN
app01-11090	37	26	3	3	NUM
app01-11090	37	27	and	and	CCONJ
app01-11090	37	28	summarise	summarise	VERB
app01-11090	37	29	our	our	PRON
app01-11090	37	30	findings	finding	NOUN
app01-11090	37	31	in	in	ADP
app01-11090	37	32	section	section	NOUN
app01-11090	37	33	4	4	NUM
app01-11090	37	34	.	.	NOUN
app01-11090	37	35	2	2	NUM
app01-11090	37	36	.	.	X
app01-11090	37	37	methodology	methodology	NOUN
app01-11090	37	38	2.1	2.1	NUM
app01-11090	37	39	.	.	PUNCT
app01-11090	38	1	numerical	numerical	PROPN
app01-11090	38	2	model	model	PROPN
app01-11090	38	3	assuming	assume	VERB
app01-11090	38	4	the	the	DET
app01-11090	38	5	metamaterial	metamaterial	NOUN
app01-11090	38	6	as	as	ADP
app01-11090	38	7	a	a	DET
app01-11090	38	8	three	three	NUM
app01-11090	38	9	-	-	PUNCT
app01-11090	38	10	dimensional	dimensional	ADJ
app01-11090	38	11	periodic	periodic	ADJ
app01-11090	38	12	truss	truss	NOUN
app01-11090	38	13	structure	structure	NOUN
app01-11090	38	14	allowed	allow	VERB
app01-11090	38	15	us	we	PRON
app01-11090	38	16	to	to	PART
app01-11090	38	17	investigate	investigate	VERB
app01-11090	38	18	the	the	DET
app01-11090	38	19	response	response	NOUN
app01-11090	38	20	of	of	ADP
app01-11090	38	21	a	a	DET
app01-11090	38	22	periodic	periodic	ADJ
app01-11090	38	23	unit	unit	NOUN
app01-11090	38	24	cell	cell	NOUN
app01-11090	38	25	(	(	PUNCT
app01-11090	38	26	puc	puc	PROPN
app01-11090	38	27	)	)	PUNCT
app01-11090	38	28	as	as	ADP
app01-11090	38	29	its	its	PRON
app01-11090	38	30	representative	representative	ADJ
app01-11090	38	31	volume	volume	NOUN
app01-11090	38	32	element	element	NOUN
app01-11090	38	33	.	.	PUNCT
app01-11090	39	1	we	we	PRON
app01-11090	39	2	modelled	model	VERB
app01-11090	39	3	the	the	DET
app01-11090	39	4	puc	puc	NOUN
app01-11090	39	5	with	with	ADP
app01-11090	39	6	a	a	DET
app01-11090	39	7	ground	ground	NOUN
app01-11090	39	8	structure	structure	NOUN
app01-11090	39	9	containing	contain	VERB
app01-11090	39	10	discrete	discrete	ADJ
app01-11090	39	11	3d	3d	NOUN
app01-11090	39	12	trusses	truss	NOUN
app01-11090	39	13	with	with	ADP
app01-11090	39	14	predefined	predefine	VERB
app01-11090	39	15	positions	position	NOUN
app01-11090	39	16	and	and	CCONJ
app01-11090	39	17	orientations	orientation	NOUN
app01-11090	39	18	as	as	SCONJ
app01-11090	39	19	shown	show	VERB
app01-11090	39	20	in	in	ADP
app01-11090	39	21	figure	figure	NOUN
app01-11090	39	22	1	1	NUM
app01-11090	39	23	.	.	PUNCT
app01-11090	40	1	as	as	SCONJ
app01-11090	40	2	the	the	DET
app01-11090	40	3	shape	shape	NOUN
app01-11090	40	4	of	of	ADP
app01-11090	40	5	cross	cross	NOUN
app01-11090	40	6	sections	section	NOUN
app01-11090	40	7	does	do	AUX
app01-11090	40	8	not	not	PART
app01-11090	40	9	affect	affect	VERB
app01-11090	40	10	the	the	DET
app01-11090	40	11	stiffness	stiffness	NOUN
app01-11090	40	12	of	of	ADP
app01-11090	40	13	the	the	DET
app01-11090	40	14	truss	truss	ADJ
app01-11090	40	15	structure	structure	NOUN
app01-11090	40	16	,	,	PUNCT
app01-11090	40	17	for	for	ADP
app01-11090	40	18	this	this	DET
app01-11090	40	19	study	study	NOUN
app01-11090	40	20	,	,	PUNCT
app01-11090	40	21	we	we	PRON
app01-11090	40	22	additionally	additionally	ADV
app01-11090	40	23	assumed	assume	VERB
app01-11090	40	24	circular	circular	PROPN
app01-11090	40	25	cross	cross	NOUN
app01-11090	40	26	sections	section	NOUN
app01-11090	40	27	with	with	ADP
app01-11090	40	28	area	area	NOUN
app01-11090	40	29	ai	ai	VERB
app01-11090	40	30	for	for	ADP
app01-11090	40	31	each	each	DET
app01-11090	40	32	truss	truss	ADJ
app01-11090	40	33	rod	rod	NOUN
app01-11090	40	34	i	i	PRON
app01-11090	40	35	as	as	ADP
app01-11090	40	36	the	the	DET
app01-11090	40	37	primal	primal	ADJ
app01-11090	40	38	unknowns	unknown	NOUN
app01-11090	40	39	for	for	ADP
app01-11090	40	40	optimisation	optimisation	NOUN
app01-11090	40	41	,	,	PUNCT
app01-11090	40	42	collectively	collectively	ADV
app01-11090	40	43	stored	store	VERB
app01-11090	40	44	in	in	ADP
app01-11090	40	45	a	a	DET
app01-11090	40	46	vector	vector	NOUN
app01-11090	40	47	of	of	ADP
app01-11090	40	48	cross	cross	ADJ
app01-11090	40	49	-	-	ADJ
app01-11090	40	50	sectional	sectional	ADJ
app01-11090	40	51	areas	area	NOUN
app01-11090	40	52	a.	a.	VERB
app01-11090	40	53	to	to	PART
app01-11090	40	54	determine	determine	VERB
app01-11090	40	55	the	the	DET
app01-11090	40	56	mechanical	mechanical	ADJ
app01-11090	40	57	response	response	NOUN
app01-11090	40	58	of	of	ADP
app01-11090	40	59	the	the	DET
app01-11090	40	60	puc	puc	NOUN
app01-11090	40	61	,	,	PUNCT
app01-11090	40	62	we	we	PRON
app01-11090	40	63	used	use	VERB
app01-11090	40	64	a	a	DET
app01-11090	40	65	linear	linear	ADJ
app01-11090	40	66	truss	truss	NOUN
app01-11090	40	67	model	model	NOUN
app01-11090	40	68	,	,	PUNCT
app01-11090	40	69	governed	govern	VERB
app01-11090	40	70	by	by	ADP
app01-11090	40	71	the	the	DET
app01-11090	40	72	global	global	ADJ
app01-11090	40	73	stiffness	stiffness	NOUN
app01-11090	40	74	matrix	matrix	NOUN
app01-11090	40	75	k(a	k(a	NOUN
app01-11090	40	76	)	)	PUNCT
app01-11090	40	77	assembled	assemble	VERB
app01-11090	40	78	from	from	ADP
app01-11090	40	79	the	the	DET
app01-11090	40	80	local	local	ADJ
app01-11090	40	81	contributions	contribution	NOUN
app01-11090	40	82	of	of	ADP
app01-11090	40	83	individual	individual	ADJ
app01-11090	40	84	rods	rod	NOUN
app01-11090	40	85	such	such	ADJ
app01-11090	40	86	that	that	SCONJ
app01-11090	40	87	formally	formally	ADV
app01-11090	40	88	k(a	k(a	X
app01-11090	40	89	)	)	PUNCT
app01-11090	41	1	=	=	PUNCT
app01-11090	41	2	∑	∑	PUNCT
app01-11090	42	1	i	i	PRON
app01-11090	42	2	lt	lt	VERB
app01-11090	42	3	i	i	PRON
app01-11090	42	4	tt	tt	VERB
app01-11090	43	1	i	i	PRON
app01-11090	43	2	kℓ	kℓ	VERB
app01-11090	43	3	i(ai)tili	i(ai)tili	NOUN
app01-11090	43	4	,	,	PUNCT
app01-11090	43	5	(	(	PUNCT
app01-11090	43	6	1	1	X
app01-11090	43	7	)	)	PUNCT
app01-11090	43	8	where	where	SCONJ
app01-11090	43	9	li	li	PROPN
app01-11090	43	10	denotes	denote	VERB
app01-11090	43	11	boolean	boolean	ADJ
app01-11090	43	12	localisation	localisation	NOUN
app01-11090	43	13	matrices	matrix	NOUN
app01-11090	43	14	,	,	PUNCT
app01-11090	43	15	ti	ti	PROPN
app01-11090	43	16	is	be	AUX
app01-11090	43	17	a	a	DET
app01-11090	43	18	transformation	transformation	NOUN
app01-11090	43	19	matrix	matrix	NOUN
app01-11090	43	20	containing	contain	VERB
app01-11090	43	21	directional	directional	ADJ
app01-11090	43	22	cosines	cosine	NOUN
app01-11090	43	23	of	of	ADP
app01-11090	43	24	the	the	DET
app01-11090	43	25	i	i	PROPN
app01-11090	43	26	-	-	PUNCT
app01-11090	43	27	th	th	X
app01-11090	43	28	rod	rod	NOUN
app01-11090	43	29	,	,	PUNCT
app01-11090	43	30	and	and	CCONJ
app01-11090	43	31	the	the	DET
app01-11090	43	32	element	element	ADJ
app01-11090	43	33	stiffness	stiffness	NOUN
app01-11090	43	34	matrix	matrix	NOUN
app01-11090	43	35	kℓ	kℓ	VERB
app01-11090	43	36	i	i	PRON
app01-11090	43	37	in	in	ADP
app01-11090	43	38	the	the	DET
app01-11090	43	39	local	local	ADJ
app01-11090	43	40	coordinate	coordinate	NOUN
app01-11090	43	41	system	system	NOUN
app01-11090	43	42	reads	read	VERB
app01-11090	43	43	as	as	ADP
app01-11090	43	44	kℓ	kℓ	ADP
app01-11090	43	45	i(ai	i(ai	PROPN
app01-11090	43	46	)	)	PUNCT
app01-11090	43	47	=	=	PUNCT
app01-11090	43	48	eai	eai	PROPN
app01-11090	43	49	li	li	X
app01-11090	43	50	[	[	PUNCT
app01-11090	43	51	1	1	NUM
app01-11090	43	52	−1	−1	NOUN
app01-11090	43	53	−1	−1	NOUN
app01-11090	43	54	1	1	NUM
app01-11090	43	55	]	]	PUNCT
app01-11090	43	56	,	,	PUNCT
app01-11090	43	57	(	(	PUNCT
app01-11090	43	58	2	2	X
app01-11090	43	59	)	)	PUNCT
app01-11090	43	60	where	where	SCONJ
app01-11090	43	61	e	e	NOUN
app01-11090	43	62	stands	stand	VERB
app01-11090	43	63	for	for	ADP
app01-11090	43	64	young	young	ADJ
app01-11090	43	65	’s	’s	PART
app01-11090	43	66	modulus	modulus	NOUN
app01-11090	43	67	and	and	CCONJ
app01-11090	43	68	li	li	PROPN
app01-11090	43	69	refers	refer	VERB
app01-11090	43	70	to	to	ADP
app01-11090	43	71	the	the	DET
app01-11090	43	72	initial	initial	ADJ
app01-11090	43	73	length	length	NOUN
app01-11090	43	74	of	of	ADP
app01-11090	43	75	the	the	DET
app01-11090	43	76	i	i	PROPN
app01-11090	43	77	-	-	PUNCT
app01-11090	43	78	th	th	X
app01-11090	43	79	rod	rod	NOUN
app01-11090	43	80	.	.	PUNCT
app01-11090	44	1	2.2	2.2	NUM
app01-11090	44	2	.	.	PUNCT
app01-11090	45	1	first	first	ADJ
app01-11090	45	2	-	-	PUNCT
app01-11090	45	3	order	order	NOUN
app01-11090	45	4	homogenisation	homogenisation	NOUN
app01-11090	45	5	the	the	DET
app01-11090	45	6	homogenisation	homogenisation	NOUN
app01-11090	45	7	determines	determine	VERB
app01-11090	45	8	the	the	DET
app01-11090	45	9	effective	effective	ADJ
app01-11090	45	10	response	response	NOUN
app01-11090	45	11	of	of	ADP
app01-11090	45	12	a	a	DET
app01-11090	45	13	heterogeneous	heterogeneous	ADJ
app01-11090	45	14	puc	puc	NOUN
app01-11090	45	15	as	as	SCONJ
app01-11090	45	16	if	if	SCONJ
app01-11090	45	17	it	it	PRON
app01-11090	45	18	were	be	AUX
app01-11090	45	19	an	an	DET
app01-11090	45	20	equivalent	equivalent	ADJ
app01-11090	45	21	homogeneous	homogeneous	ADJ
app01-11090	45	22	material	material	NOUN
app01-11090	45	23	point	point	NOUN
app01-11090	45	24	subjected	subject	VERB
app01-11090	45	25	to	to	ADP
app01-11090	45	26	the	the	DET
app01-11090	45	27	same	same	ADJ
app01-11090	45	28	uniform	uniform	ADJ
app01-11090	45	29	strain	strain	NOUN
app01-11090	45	30	field	field	NOUN
app01-11090	45	31	e.	e.	PROPN
app01-11090	45	32	for	for	ADP
app01-11090	45	33	the	the	DET
app01-11090	45	34	linear	linear	ADJ
app01-11090	45	35	problem	problem	NOUN
app01-11090	45	36	considered	consider	VERB
app01-11090	45	37	here	here	ADV
app01-11090	45	38	,	,	PUNCT
app01-11090	45	39	the	the	DET
app01-11090	45	40	homogenised	homogenised	ADJ
app01-11090	45	41	response	response	NOUN
app01-11090	45	42	is	be	AUX
app01-11090	45	43	captured	capture	VERB
app01-11090	45	44	by	by	ADP
app01-11090	45	45	the	the	DET
app01-11090	45	46	effective	effective	ADJ
app01-11090	45	47	stiffness	stiffness	NOUN
app01-11090	45	48	matrix	matrix	NOUN
app01-11090	45	49	dhom(a	dhom(a	NOUN
app01-11090	45	50	)	)	PUNCT
app01-11090	45	51	.	.	PUNCT
app01-11090	46	1	in	in	ADP
app01-11090	46	2	our	our	PRON
app01-11090	46	3	study	study	NOUN
app01-11090	46	4	,	,	PUNCT
app01-11090	46	5	we	we	PRON
app01-11090	46	6	employed	employ	VERB
app01-11090	46	7	the	the	DET
app01-11090	46	8	first	first	ADJ
app01-11090	46	9	order	order	NOUN
app01-11090	46	10	numerical	numerical	ADJ
app01-11090	46	11	homogenisation	homogenisation	NOUN
app01-11090	46	12	[	[	X
app01-11090	46	13	26	26	NUM
app01-11090	46	14	]	]	PUNCT
app01-11090	46	15	to	to	PART
app01-11090	46	16	obtain	obtain	VERB
app01-11090	46	17	the	the	DET
app01-11090	46	18	effective	effective	ADJ
app01-11090	46	19	properties	property	NOUN
app01-11090	46	20	of	of	ADP
app01-11090	46	21	the	the	DET
app01-11090	46	22	metamaterial	metamaterial	NOUN
app01-11090	46	23	.	.	PUNCT
app01-11090	47	1	the	the	DET
app01-11090	47	2	total	total	ADJ
app01-11090	47	3	displacement	displacement	ADJ
app01-11090	47	4	field	field	NOUN
app01-11090	47	5	u⃗(x⃗	u⃗(x⃗	PROPN
app01-11090	47	6	)	)	PUNCT
app01-11090	47	7	was	be	AUX
app01-11090	47	8	thus	thus	ADV
app01-11090	47	9	assumed	assume	VERB
app01-11090	47	10	in	in	ADP
app01-11090	47	11	the	the	DET
app01-11090	47	12	form	form	NOUN
app01-11090	47	13	u⃗(x⃗	u⃗(x⃗	PROPN
app01-11090	47	14	)	)	PUNCT
app01-11090	47	15	=	=	SYM
app01-11090	48	1	u⃗	u⃗	PROPN
app01-11090	48	2	e(x⃗	e(x⃗	NOUN
app01-11090	48	3	)	)	PUNCT
app01-11090	49	1	+	+	CCONJ
app01-11090	49	2	u⃗	u⃗	PROPN
app01-11090	49	3	∗(x⃗	∗(x⃗	NUM
app01-11090	49	4	)	)	PUNCT
app01-11090	49	5	,	,	PUNCT
app01-11090	49	6	(	(	PUNCT
app01-11090	49	7	3	3	X
app01-11090	49	8	)	)	PUNCT
app01-11090	49	9	where	where	SCONJ
app01-11090	49	10	u⃗	u⃗	PROPN
app01-11090	49	11	e	e	PROPN
app01-11090	49	12	denotes	denote	VERB
app01-11090	49	13	the	the	DET
app01-11090	49	14	macroscopic	macroscopic	ADJ
app01-11090	49	15	part	part	NOUN
app01-11090	49	16	of	of	ADP
app01-11090	49	17	the	the	DET
app01-11090	49	18	displacement	displacement	ADJ
app01-11090	49	19	field	field	NOUN
app01-11090	49	20	and	and	CCONJ
app01-11090	49	21	u⃗∗	u⃗∗	ADJ
app01-11090	49	22	is	be	AUX
app01-11090	49	23	the	the	DET
app01-11090	49	24	fluctuation	fluctuation	NOUN
app01-11090	49	25	caused	cause	VERB
app01-11090	49	26	by	by	ADP
app01-11090	49	27	the	the	DET
app01-11090	49	28	heterogeneity	heterogeneity	NOUN
app01-11090	49	29	of	of	ADP
app01-11090	49	30	the	the	DET
app01-11090	49	31	metamaterial	metamaterial	NOUN
app01-11090	49	32	[	[	X
app01-11090	49	33	27	27	NUM
app01-11090	49	34	]	]	PUNCT
app01-11090	49	35	.	.	PUNCT
app01-11090	50	1	for	for	ADP
app01-11090	50	2	the	the	DET
app01-11090	50	3	discrete	discrete	ADJ
app01-11090	50	4	system	system	NOUN
app01-11090	50	5	,	,	PUNCT
app01-11090	50	6	degrees	degree	NOUN
app01-11090	50	7	of	of	ADP
app01-11090	50	8	freedom	freedom	NOUN
app01-11090	50	9	(	(	PUNCT
app01-11090	50	10	dofs	dofs	NOUN
app01-11090	50	11	)	)	PUNCT
app01-11090	50	12	related	relate	VERB
app01-11090	50	13	to	to	ADP
app01-11090	50	14	the	the	DET
app01-11090	50	15	macroscopic	macroscopic	ADJ
app01-11090	50	16	displacement	displacement	NOUN
app01-11090	50	17	of	of	ADP
app01-11090	50	18	the	the	DET
app01-11090	50	19	j	j	PROPN
app01-11090	50	20	-	-	PUNCT
app01-11090	50	21	th	th	VERB
app01-11090	50	22	node	node	NOUN
app01-11090	50	23	are	be	AUX
app01-11090	50	24	coupled	couple	VERB
app01-11090	50	25	to	to	ADP
app01-11090	50	26	the	the	DET
app01-11090	50	27	vectorial	vectorial	ADJ
app01-11090	50	28	representation	representation	NOUN
app01-11090	50	29	of	of	ADP
app01-11090	50	30	the	the	DET
app01-11090	50	31	symmetric	symmetric	ADJ
app01-11090	50	32	second	second	ADJ
app01-11090	50	33	-	-	PUNCT
app01-11090	50	34	order	order	NOUN
app01-11090	50	35	tensor	tensor	NOUN
app01-11090	50	36	e	e	NOUN
app01-11090	50	37	via	via	ADP
app01-11090	50	38	matrix	matrix	NOUN
app01-11090	50	39	qj	qj	PROPN
app01-11090	50	40	containing	contain	VERB
app01-11090	50	41	coordinates	coordinate	NOUN
app01-11090	50	42	of	of	ADP
app01-11090	50	43	node	node	PROPN
app01-11090	50	44	j	j	PROPN
app01-11090	50	45	,	,	PUNCT
app01-11090	50	46	ue	ue	PROPN
app01-11090	50	47	j	j	PROPN
app01-11090	50	48	=	=	PUNCT
app01-11090	50	49	xj	xj	PROPN
app01-11090	50	50	0	0	NUM
app01-11090	50	51	0	0	NUM
app01-11090	50	52	0	0	NUM
app01-11090	50	53	1	1	NUM
app01-11090	50	54	2	2	NUM
app01-11090	50	55	zj	zj	NOUN
app01-11090	50	56	1	1	NUM
app01-11090	50	57	2	2	NUM
app01-11090	50	58	yj	yj	PROPN
app01-11090	50	59	0	0	PROPN
app01-11090	50	60	yj	yj	PROPN
app01-11090	50	61	0	0	NUM
app01-11090	50	62	1	1	NUM
app01-11090	50	63	2	2	NUM
app01-11090	50	64	zj	zj	NOUN
app01-11090	50	65	0	0	NUM
app01-11090	50	66	1	1	NUM
app01-11090	50	67	2	2	NUM
app01-11090	50	68	xj	xj	PROPN
app01-11090	50	69	0	0	NUM
app01-11090	50	70	0	0	NUM
app01-11090	50	71	zj	zj	NOUN
app01-11090	50	72	1	1	NUM
app01-11090	50	73	2	2	NUM
app01-11090	50	74	yj	yj	PROPN
app01-11090	50	75	1	1	NUM
app01-11090	50	76	2	2	NUM
app01-11090	50	77	xj	xj	NOUN
app01-11090	50	78	0	0	NUM
app01-11090	50	79			NUM
app01-11090	50	80	e	e	NOUN
app01-11090	50	81	=	=	SYM
app01-11090	50	82	qj	qj	PROPN
app01-11090	50	83	e	e	X
app01-11090	50	84	.	.	PUNCT
app01-11090	51	1	(	(	PUNCT
app01-11090	51	2	4	4	X
app01-11090	51	3	)	)	PUNCT
app01-11090	51	4	the	the	DET
app01-11090	51	5	displacement	displacement	ADJ
app01-11090	51	6	degrees	degree	NOUN
app01-11090	51	7	of	of	ADP
app01-11090	51	8	freedom	freedom	NOUN
app01-11090	51	9	u	u	NOUN
app01-11090	51	10	,	,	PUNCT
app01-11090	51	11	including	include	VERB
app01-11090	51	12	both	both	CCONJ
app01-11090	51	13	the	the	DET
app01-11090	51	14	macroscopic	macroscopic	ADJ
app01-11090	51	15	and	and	CCONJ
app01-11090	51	16	fluctuation	fluctuation	NOUN
app01-11090	51	17	part	part	NOUN
app01-11090	51	18	,	,	PUNCT
app01-11090	51	19	then	then	ADV
app01-11090	51	20	follow	follow	VERB
app01-11090	51	21	as	as	ADP
app01-11090	51	22	u	u	NOUN
app01-11090	51	23	=	=	PUNCT
app01-11090	51	24	[	[	PUNCT
app01-11090	51	25	q	q	X
app01-11090	51	26	i	i	X
app01-11090	51	27	]	]	PUNCT
app01-11090	51	28	[	[	PUNCT
app01-11090	51	29	e	e	X
app01-11090	51	30	u∗	u∗	ADV
app01-11090	51	31	]	]	PUNCT
app01-11090	51	32	=	=	SYM
app01-11090	51	33	q̂	q̂	X
app01-11090	51	34	û	û	NUM
app01-11090	51	35	,	,	PUNCT
app01-11090	51	36	(	(	PUNCT
app01-11090	51	37	5	5	NUM
app01-11090	51	38	)	)	PUNCT
app01-11090	51	39	where	where	SCONJ
app01-11090	51	40	q	q	NOUN
app01-11090	51	41	contains	contain	VERB
app01-11090	51	42	vertically	vertically	ADV
app01-11090	51	43	concatenated	concatenate	VERB
app01-11090	51	44	contributions	contribution	NOUN
app01-11090	51	45	qj	qj	PROPN
app01-11090	51	46	,	,	PUNCT
app01-11090	51	47	i	i	PRON
app01-11090	51	48	stands	stand	VERB
app01-11090	51	49	for	for	ADP
app01-11090	51	50	the	the	DET
app01-11090	51	51	identity	identity	NOUN
app01-11090	51	52	matrix	matrix	NOUN
app01-11090	51	53	,	,	PUNCT
app01-11090	51	54	and	and	CCONJ
app01-11090	51	55	u∗	u∗	ADJ
app01-11090	51	56	denotes	denote	VERB
app01-11090	51	57	the	the	DET
app01-11090	51	58	fluctuation	fluctuation	NOUN
app01-11090	51	59	dofs	dof	NOUN
app01-11090	51	60	.	.	PUNCT
app01-11090	52	1	due	due	ADP
app01-11090	52	2	to	to	ADP
app01-11090	52	3	the	the	DET
app01-11090	52	4	assumed	assumed	ADJ
app01-11090	52	5	periodic	periodic	ADJ
app01-11090	52	6	boundary	boundary	ADJ
app01-11090	52	7	conditions	condition	NOUN
app01-11090	52	8	,	,	PUNCT
app01-11090	52	9	not	not	PART
app01-11090	52	10	all	all	DET
app01-11090	52	11	dofs	dof	NOUN
app01-11090	52	12	in	in	ADP
app01-11090	52	13	u∗	u∗	ADV
app01-11090	52	14	are	be	AUX
app01-11090	52	15	independent	independent	ADJ
app01-11090	52	16	.	.	PUNCT
app01-11090	53	1	accounting	account	VERB
app01-11090	53	2	for	for	ADP
app01-11090	53	3	the	the	DET
app01-11090	53	4	periodic	periodic	ADJ
app01-11090	53	5	sourceimage	sourceimage	NOUN
app01-11090	53	6	pairs	pair	NOUN
app01-11090	53	7	and	and	CCONJ
app01-11090	53	8	preventing	prevent	VERB
app01-11090	53	9	rigid	rigid	ADJ
app01-11090	53	10	body	body	NOUN
app01-11090	53	11	motions	motion	NOUN
app01-11090	53	12	by	by	ADP
app01-11090	53	13	setting	set	VERB
app01-11090	53	14	zero	zero	NUM
app01-11090	53	15	fluctuation	fluctuation	NOUN
app01-11090	53	16	at	at	ADP
app01-11090	53	17	one	one	NUM
app01-11090	53	18	selected	select	VERB
app01-11090	53	19	node	node	NOUN
app01-11090	53	20	,	,	PUNCT
app01-11090	53	21	the	the	DET
app01-11090	53	22	fluctuation	fluctuation	NOUN
app01-11090	53	23	dofs	dof	NOUN
app01-11090	53	24	can	can	AUX
app01-11090	53	25	be	be	AUX
app01-11090	53	26	expressed	express	VERB
app01-11090	53	27	in	in	ADP
app01-11090	53	28	terms	term	NOUN
app01-11090	53	29	of	of	ADP
app01-11090	53	30	a	a	DET
app01-11090	53	31	subset	subset	NOUN
app01-11090	53	32	of	of	ADP
app01-11090	53	33	unknowns	unknown	NOUN
app01-11090	53	34	υ	υ	PROPN
app01-11090	53	35	,	,	PUNCT
app01-11090	53	36	û	û	NOUN
app01-11090	54	1	=	=	PUNCT
app01-11090	55	1	[	[	PUNCT
app01-11090	55	2	e	e	X
app01-11090	55	3	u∗	u∗	ADV
app01-11090	55	4	]	]	PUNCT
app01-11090	56	1	=	=	PUNCT
app01-11090	57	1	[	[	PUNCT
app01-11090	57	2	i	i	NOUN
app01-11090	57	3	0	0	NUM
app01-11090	57	4	0	0	NUM
app01-11090	58	1	p	p	NOUN
app01-11090	58	2	]	]	X
app01-11090	58	3	[	[	PUNCT
app01-11090	58	4	e	e	X
app01-11090	58	5	υ	υ	NOUN
app01-11090	58	6	]	]	X
app01-11090	58	7	=	=	SYM
app01-11090	58	8	p̂	p̂	NOUN
app01-11090	58	9	υ̂	υ̂	PUNCT
app01-11090	58	10	,	,	PUNCT
app01-11090	58	11	(	(	PUNCT
app01-11090	58	12	6	6	NUM
app01-11090	58	13	)	)	SYM
app01-11090	58	14	35	35	NUM
app01-11090	58	15	n.	n.	NOUN
app01-11090	58	16	jošková	jošková	NOUN
app01-11090	58	17	,	,	PUNCT
app01-11090	58	18	m.	m.	NOUN
app01-11090	58	19	tyburec	tyburec	NOUN
app01-11090	58	20	,	,	PUNCT
app01-11090	58	21	m.	m.	PROPN
app01-11090	58	22	doškář	doškář	PROPN
app01-11090	58	23	acta	acta	PROPN
app01-11090	58	24	polytechnica	polytechnica	PROPN
app01-11090	58	25	ctu	ctu	NOUN
app01-11090	58	26	proceedings	proceeding	NOUN
app01-11090	58	27	with	with	ADP
app01-11090	58	28	p	p	NOUN
app01-11090	58	29	being	be	AUX
app01-11090	58	30	a	a	DET
app01-11090	58	31	boolean	boolean	ADJ
app01-11090	58	32	matrix	matrix	NOUN
app01-11090	58	33	facilitating	facilitate	VERB
app01-11090	58	34	the	the	DET
app01-11090	58	35	discussed	discuss	VERB
app01-11090	58	36	boundary	boundary	ADJ
app01-11090	58	37	conditions	condition	NOUN
app01-11090	58	38	.	.	PUNCT
app01-11090	59	1	combining	combine	VERB
app01-11090	59	2	the	the	DET
app01-11090	59	3	discrete	discrete	ADJ
app01-11090	59	4	first	first	ADJ
app01-11090	59	5	-	-	PUNCT
app01-11090	59	6	order	order	NOUN
app01-11090	59	7	displacement	displacement	ADJ
app01-11090	59	8	decomposition	decomposition	NOUN
app01-11090	59	9	(	(	PUNCT
app01-11090	59	10	5	5	NUM
app01-11090	59	11	)	)	PUNCT
app01-11090	59	12	and	and	CCONJ
app01-11090	59	13	periodicity	periodicity	NOUN
app01-11090	59	14	enforcement	enforcement	NOUN
app01-11090	59	15	(	(	PUNCT
app01-11090	59	16	6	6	NUM
app01-11090	59	17	)	)	PUNCT
app01-11090	59	18	leads	lead	VERB
app01-11090	59	19	to	to	ADP
app01-11090	59	20	the	the	DET
app01-11090	59	21	strain	strain	ADJ
app01-11090	59	22	energy	energy	NOUN
app01-11090	59	23	formula	formula	NOUN
app01-11090	59	24	of	of	ADP
app01-11090	59	25	a	a	DET
app01-11090	59	26	puc	puc	NOUN
app01-11090	59	27	e(e	e(e	PROPN
app01-11090	59	28	,	,	PUNCT
app01-11090	59	29	υ	υ	NOUN
app01-11090	59	30	)	)	PUNCT
app01-11090	59	31	=	=	SYM
app01-11090	59	32	1	1	NUM
app01-11090	59	33	2	2	NUM
app01-11090	59	34	υ̂tp̂tq̂tk(a	υ̂tp̂tq̂tk(a	PROPN
app01-11090	59	35	)	)	PUNCT
app01-11090	59	36	q̂	q̂	NUM
app01-11090	59	37	p̂	p̂	X
app01-11090	59	38	υ̂	υ̂	PUNCT
app01-11090	59	39	=	=	SYM
app01-11090	59	40	1	1	NUM
app01-11090	59	41	2	2	NUM
app01-11090	59	42	[	[	PUNCT
app01-11090	59	43	e	e	X
app01-11090	59	44	υ	υ	X
app01-11090	59	45	]	]	X
app01-11090	59	46	t	t	X
app01-11090	59	47	[	[	PUNCT
app01-11090	59	48	qtk(a)q	qtk(a)q	NOUN
app01-11090	59	49	qtk(a)p	qtk(a)p	ADJ
app01-11090	59	50	ptk(a)q	ptk(a)q	NOUN
app01-11090	59	51	ptk(a)p	ptk(a)p	NOUN
app01-11090	59	52	]	]	PUNCT
app01-11090	59	53	[	[	PUNCT
app01-11090	59	54	e	e	X
app01-11090	59	55	υ	υ	X
app01-11090	59	56	]	]	X
app01-11090	59	57	=	=	SYM
app01-11090	59	58	1	1	NUM
app01-11090	59	59	2	2	NUM
app01-11090	59	60	[	[	PUNCT
app01-11090	59	61	e	e	X
app01-11090	59	62	υ	υ	X
app01-11090	59	63	]	]	X
app01-11090	59	64	t	t	X
app01-11090	59	65	[	[	PUNCT
app01-11090	59	66	k̂ee(a	k̂ee(a	PROPN
app01-11090	59	67	)	)	PUNCT
app01-11090	59	68	k̂eυ(a	k̂eυ(a	PROPN
app01-11090	59	69	)	)	PUNCT
app01-11090	59	70	k̂υe(a	k̂υe(a	PROPN
app01-11090	59	71	)	)	PUNCT
app01-11090	59	72	k̂υυ(a	k̂υυ(a	PROPN
app01-11090	59	73	)	)	PUNCT
app01-11090	59	74	]	]	PUNCT
app01-11090	60	1	[	[	PUNCT
app01-11090	60	2	e	e	X
app01-11090	60	3	υ	υ	NOUN
app01-11090	60	4	]	]	PUNCT
app01-11090	60	5	.	.	PUNCT
app01-11090	61	1	(	(	PUNCT
app01-11090	61	2	7	7	NUM
app01-11090	61	3	)	)	PUNCT
app01-11090	61	4	from	from	ADP
app01-11090	61	5	the	the	DET
app01-11090	61	6	homogenisation	homogenisation	NOUN
app01-11090	61	7	perspective	perspective	NOUN
app01-11090	61	8	,	,	PUNCT
app01-11090	61	9	υ	υ	NOUN
app01-11090	61	10	can	can	AUX
app01-11090	61	11	be	be	AUX
app01-11090	61	12	treated	treat	VERB
app01-11090	61	13	as	as	ADP
app01-11090	61	14	internal	internal	ADJ
app01-11090	61	15	unknowns	unknown	NOUN
app01-11090	61	16	,	,	PUNCT
app01-11090	61	17	which	which	PRON
app01-11090	61	18	can	can	AUX
app01-11090	61	19	be	be	AUX
app01-11090	61	20	uniquely	uniquely	ADV
app01-11090	61	21	solved	solve	VERB
app01-11090	61	22	for	for	ADP
app01-11090	61	23	a	a	DET
app01-11090	61	24	prescribed	prescribed	ADJ
app01-11090	61	25	e	e	NOUN
app01-11090	61	26	,	,	PUNCT
app01-11090	61	27	leaving	leave	VERB
app01-11090	61	28	us	we	PRON
app01-11090	61	29	with	with	ADP
app01-11090	61	30	the	the	DET
app01-11090	61	31	condensed	condense	VERB
app01-11090	61	32	form	form	NOUN
app01-11090	61	33	ẽ(e	ẽ(e	NOUN
app01-11090	61	34	)	)	PUNCT
app01-11090	61	35	=	=	SYM
app01-11090	61	36	1	1	NUM
app01-11090	61	37	2	2	NUM
app01-11090	61	38	et	et	NOUN
app01-11090	61	39	(	(	PUNCT
app01-11090	61	40	k̂ee(a	k̂ee(a	PROPN
app01-11090	61	41	)	)	PUNCT
app01-11090	61	42	−	−	PROPN
app01-11090	61	43	k̂eυ(a)k̂−1	k̂eυ(a)k̂−1	NOUN
app01-11090	61	44	υυ	υυ	INTJ
app01-11090	61	45	(	(	PUNCT
app01-11090	61	46	a)k̂υe(a	a)k̂υe(a	PROPN
app01-11090	61	47	)	)	PUNCT
app01-11090	61	48	)	)	PUNCT
app01-11090	62	1	e	e	X
app01-11090	62	2	=	=	SYM
app01-11090	62	3	1	1	NUM
app01-11090	62	4	2	2	NUM
app01-11090	62	5	etkeff(a)e	etkeff(a)e	X
app01-11090	62	6	.	.	PUNCT
app01-11090	63	1	(	(	PUNCT
app01-11090	63	2	8)	8)	NUM
app01-11090	63	3	comparing	compare	VERB
app01-11090	63	4	the	the	DET
app01-11090	63	5	last	last	ADJ
app01-11090	63	6	row	row	NOUN
app01-11090	63	7	of	of	ADP
app01-11090	63	8	(	(	PUNCT
app01-11090	63	9	8)	8)	NUM
app01-11090	63	10	with	with	ADP
app01-11090	63	11	an	an	DET
app01-11090	63	12	expression	expression	NOUN
app01-11090	63	13	for	for	ADP
app01-11090	63	14	the	the	DET
app01-11090	63	15	strain	strain	ADJ
app01-11090	63	16	energy	energy	NOUN
app01-11090	63	17	stored	store	VERB
app01-11090	63	18	in	in	ADP
app01-11090	63	19	a	a	DET
app01-11090	63	20	homogeneous	homogeneous	ADJ
app01-11090	63	21	material	material	NOUN
app01-11090	63	22	of	of	ADP
app01-11090	63	23	volume	volume	NOUN
app01-11090	63	24	v	v	NUM
app01-11090	63	25	subjected	subject	VERB
app01-11090	63	26	to	to	ADP
app01-11090	63	27	e	e	PROPN
app01-11090	63	28	yields	yield	NOUN
app01-11090	63	29	the	the	DET
app01-11090	63	30	final	final	ADJ
app01-11090	63	31	formula	formula	NOUN
app01-11090	63	32	for	for	ADP
app01-11090	63	33	the	the	DET
app01-11090	63	34	effective	effective	ADJ
app01-11090	63	35	stiffness	stiffness	NOUN
app01-11090	63	36	matrix	matrix	NOUN
app01-11090	63	37	dhom(a	dhom(a	NOUN
app01-11090	63	38	)	)	PUNCT
app01-11090	63	39	=	=	SYM
app01-11090	63	40	1	1	NUM
app01-11090	63	41	v	v	NUM
app01-11090	63	42	keff(a	keff(a	NOUN
app01-11090	63	43	)	)	PUNCT
app01-11090	63	44	.	.	PUNCT
app01-11090	64	1	(	(	PUNCT
app01-11090	64	2	9	9	X
app01-11090	64	3	)	)	PUNCT
app01-11090	64	4	for	for	ADP
app01-11090	64	5	a	a	DET
app01-11090	64	6	detailed	detailed	ADJ
app01-11090	64	7	exposition	exposition	NOUN
app01-11090	64	8	and	and	CCONJ
app01-11090	64	9	discussion	discussion	NOUN
app01-11090	64	10	of	of	ADP
app01-11090	64	11	the	the	DET
app01-11090	64	12	adopted	adopt	VERB
app01-11090	64	13	homogenisation	homogenisation	NOUN
app01-11090	64	14	scheme	scheme	NOUN
app01-11090	64	15	,	,	PUNCT
app01-11090	64	16	we	we	PRON
app01-11090	64	17	kindly	kindly	ADV
app01-11090	64	18	refer	refer	VERB
app01-11090	64	19	the	the	DET
app01-11090	64	20	reader	reader	NOUN
app01-11090	64	21	to	to	ADP
app01-11090	64	22	our	our	PRON
app01-11090	64	23	previous	previous	ADJ
app01-11090	64	24	work	work	NOUN
app01-11090	64	25	[	[	X
app01-11090	64	26	28	28	NUM
app01-11090	64	27	]	]	PUNCT
app01-11090	64	28	.	.	PUNCT
app01-11090	65	1	2.3	2.3	NUM
app01-11090	65	2	.	.	PUNCT
app01-11090	65	3	topology	topology	NOUN
app01-11090	65	4	optimisation	optimisation	NOUN
app01-11090	65	5	to	to	PART
app01-11090	65	6	optimise	optimise	VERB
app01-11090	65	7	the	the	DET
app01-11090	65	8	structure	structure	NOUN
app01-11090	65	9	of	of	ADP
app01-11090	65	10	multimodal	multimodal	NOUN
app01-11090	65	11	metamaterials	metamaterial	NOUN
app01-11090	65	12	,	,	PUNCT
app01-11090	65	13	we	we	PRON
app01-11090	65	14	utilised	utilise	VERB
app01-11090	65	15	the	the	DET
app01-11090	65	16	inverse	inverse	NOUN
app01-11090	65	17	homogenisation	homogenisation	NOUN
app01-11090	65	18	[	[	X
app01-11090	65	19	18	18	NUM
app01-11090	65	20	]	]	PUNCT
app01-11090	65	21	with	with	ADP
app01-11090	65	22	an	an	DET
app01-11090	65	23	objective	objective	ADJ
app01-11090	65	24	function	function	NOUN
app01-11090	65	25	o	o	NOUN
app01-11090	65	26	comprising	comprise	VERB
app01-11090	65	27	a	a	DET
app01-11090	65	28	ratio	ratio	NOUN
app01-11090	65	29	between	between	ADP
app01-11090	65	30	a	a	DET
app01-11090	65	31	projected	project	VERB
app01-11090	65	32	stiffness	stiffness	NOUN
app01-11090	65	33	α	α	NOUN
app01-11090	65	34	,	,	PUNCT
app01-11090	65	35	defined	define	VERB
app01-11090	65	36	via	via	ADP
app01-11090	65	37	a	a	DET
app01-11090	65	38	unit	unit	NOUN
app01-11090	65	39	modal	modal	NOUN
app01-11090	65	40	deformation	deformation	NOUN
app01-11090	65	41	p	p	NOUN
app01-11090	65	42	as	as	ADP
app01-11090	65	43	α(a	α(a	NOUN
app01-11090	65	44	)	)	PUNCT
app01-11090	66	1	=	=	SYM
app01-11090	66	2	ptdhom(a)p	ptdhom(a)p	X
app01-11090	66	3	,	,	PUNCT
app01-11090	66	4	(	(	PUNCT
app01-11090	66	5	10	10	NUM
app01-11090	66	6	)	)	PUNCT
app01-11090	66	7	and	and	CCONJ
app01-11090	66	8	k	k	X
app01-11090	66	9	-	-	PUNCT
app01-11090	66	10	th	th	X
app01-11090	66	11	largest	large	ADJ
app01-11090	66	12	eigenvalue	eigenvalue	NOUN
app01-11090	66	13	λk	λk	ADP
app01-11090	66	14	of	of	ADP
app01-11090	66	15	the	the	DET
app01-11090	66	16	residual	residual	ADJ
app01-11090	66	17	stiffness	stiffness	NOUN
app01-11090	66	18	matrix	matrix	NOUN
app01-11090	66	19	dres	dre	NOUN
app01-11090	66	20	obtained	obtain	VERB
app01-11090	66	21	by	by	ADP
app01-11090	66	22	subtracting	subtract	VERB
app01-11090	66	23	the	the	DET
app01-11090	66	24	contribution	contribution	NOUN
app01-11090	66	25	of	of	ADP
app01-11090	66	26	the	the	DET
app01-11090	66	27	projected	project	VERB
app01-11090	66	28	stiffness	stiffness	NOUN
app01-11090	66	29	α	α	NOUN
app01-11090	66	30	,	,	PUNCT
app01-11090	66	31	i.e.	i.e.	X
app01-11090	66	32	dres(a	dres(a	NOUN
app01-11090	66	33	)	)	PUNCT
app01-11090	66	34	=	=	SYM
app01-11090	66	35	dhom(a	dhom(a	PROPN
app01-11090	66	36	)	)	PUNCT
app01-11090	66	37	−	−	PROPN
app01-11090	67	1	α(a)ppt	α(a)ppt	PROPN
app01-11090	67	2	.	.	PUNCT
app01-11090	68	1	(	(	PUNCT
app01-11090	68	2	11	11	NUM
app01-11090	68	3	)	)	PUNCT
app01-11090	68	4	in	in	ADP
app01-11090	68	5	particular	particular	ADJ
app01-11090	68	6	,	,	PUNCT
app01-11090	68	7	the	the	DET
app01-11090	68	8	objective	objective	ADJ
app01-11090	68	9	function	function	NOUN
app01-11090	68	10	for	for	ADP
app01-11090	68	11	a	a	DET
app01-11090	68	12	unimodal	unimodal	ADJ
app01-11090	68	13	metamaterial	metamaterial	NOUN
app01-11090	68	14	contains	contain	VERB
app01-11090	68	15	the	the	DET
app01-11090	68	16	fifth	fifth	ADV
app01-11090	68	17	largest	large	ADJ
app01-11090	68	18	eigenvalue	eigenvalue	NOUN
app01-11090	68	19	(	(	PUNCT
app01-11090	68	20	out	out	ADP
app01-11090	68	21	of	of	ADP
app01-11090	68	22	six	six	NUM
app01-11090	68	23	)	)	PUNCT
app01-11090	68	24	of	of	ADP
app01-11090	68	25	dres	dre	NOUN
app01-11090	68	26	,	,	PUNCT
app01-11090	68	27	as	as	SCONJ
app01-11090	68	28	its	its	PRON
app01-11090	68	29	goal	goal	NOUN
app01-11090	68	30	is	be	AUX
app01-11090	68	31	to	to	PART
app01-11090	68	32	maximise	maximise	VERB
app01-11090	68	33	the	the	DET
app01-11090	68	34	gap	gap	NOUN
app01-11090	68	35	between	between	ADP
app01-11090	68	36	the	the	DET
app01-11090	68	37	compliant	compliant	ADJ
app01-11090	68	38	mode	mode	NOUN
app01-11090	68	39	pertinent	pertinent	NOUN
app01-11090	68	40	to	to	ADP
app01-11090	68	41	α	α	NOUN
app01-11090	68	42	and	and	CCONJ
app01-11090	68	43	the	the	DET
app01-11090	68	44	second	second	ADJ
app01-11090	68	45	smallest	small	ADJ
app01-11090	68	46	stiffness	stiffness	NOUN
app01-11090	68	47	eigenvalue	eigenvalue	NOUN
app01-11090	68	48	(	(	PUNCT
app01-11090	68	49	recall	recall	VERB
app01-11090	68	50	that	that	SCONJ
app01-11090	68	51	the	the	DET
app01-11090	68	52	smallest	small	ADJ
app01-11090	68	53	eigenvalue	eigenvalue	NOUN
app01-11090	68	54	of	of	ADP
app01-11090	68	55	dres	dre	NOUN
app01-11090	68	56	is	be	AUX
app01-11090	68	57	zero	zero	NUM
app01-11090	68	58	by	by	ADP
app01-11090	68	59	definition	definition	NOUN
app01-11090	68	60	(	(	PUNCT
app01-11090	68	61	11	11	NUM
app01-11090	68	62	)	)	PUNCT
app01-11090	68	63	)	)	PUNCT
app01-11090	68	64	,	,	PUNCT
app01-11090	68	65	oi(a	oi(a	X
app01-11090	68	66	)	)	PUNCT
app01-11090	68	67	=	=	SYM
app01-11090	69	1	λ5(a	λ5(a	X
app01-11090	69	2	)	)	PUNCT
app01-11090	69	3	αi(a	αi(a	NUM
app01-11090	69	4	)	)	PUNCT
app01-11090	69	5	,	,	PUNCT
app01-11090	69	6	(	(	PUNCT
app01-11090	69	7	12	12	NUM
app01-11090	69	8	)	)	PUNCT
app01-11090	69	9	while	while	SCONJ
app01-11090	69	10	the	the	DET
app01-11090	69	11	objective	objective	ADJ
app01-11090	69	12	function	function	NOUN
app01-11090	69	13	for	for	ADP
app01-11090	69	14	a	a	DET
app01-11090	69	15	pentamodal	pentamodal	ADJ
app01-11090	69	16	material	material	NOUN
app01-11090	69	17	includes	include	VERB
app01-11090	69	18	the	the	DET
app01-11090	69	19	largest	large	ADJ
app01-11090	69	20	eigenvalue	eigenvalue	NOUN
app01-11090	69	21	,	,	PUNCT
app01-11090	69	22	ov(a	ov(a	NOUN
app01-11090	69	23	)	)	PUNCT
app01-11090	69	24	=	=	SYM
app01-11090	69	25	αv(a	αv(a	X
app01-11090	69	26	)	)	PUNCT
app01-11090	69	27	λ1(a	λ1(a	NOUN
app01-11090	69	28	)	)	PUNCT
app01-11090	69	29	,	,	PUNCT
app01-11090	69	30	(	(	PUNCT
app01-11090	69	31	13	13	NUM
app01-11090	69	32	)	)	PUNCT
app01-11090	69	33	because	because	SCONJ
app01-11090	69	34	all	all	DET
app01-11090	69	35	other	other	ADJ
app01-11090	69	36	stiffness	stiffness	ADJ
app01-11090	69	37	components	component	NOUN
app01-11090	69	38	shall	shall	AUX
app01-11090	69	39	vanish	vanish	VERB
app01-11090	69	40	compared	compare	VERB
app01-11090	69	41	to	to	ADP
app01-11090	69	42	the	the	DET
app01-11090	69	43	stiffness	stiffness	NOUN
app01-11090	69	44	αv	αv	NOUN
app01-11090	69	45	in	in	ADP
app01-11090	69	46	a	a	DET
app01-11090	69	47	predefined	predefine	VERB
app01-11090	69	48	mode	mode	NOUN
app01-11090	70	1	p.	p.	NOUN
app01-11090	70	2	this	this	DET
app01-11090	70	3	objective	objective	ADJ
app01-11090	70	4	function	function	NOUN
app01-11090	70	5	is	be	AUX
app01-11090	70	6	volume	volume	NOUN
app01-11090	70	7	independent	independent	ADJ
app01-11090	70	8	as	as	ADP
app01-11090	70	9	both	both	DET
app01-11090	70	10	α	α	NOUN
app01-11090	70	11	and	and	CCONJ
app01-11090	70	12	λ	λ	PROPN
app01-11090	70	13	scale	scale	NOUN
app01-11090	70	14	linearly	linearly	ADV
app01-11090	70	15	with	with	ADP
app01-11090	70	16	the	the	DET
app01-11090	70	17	linear	linear	ADJ
app01-11090	70	18	scaling	scaling	NOUN
app01-11090	70	19	of	of	ADP
app01-11090	70	20	a	a	PRON
app01-11090	70	21	,	,	PUNCT
app01-11090	70	22	and	and	CCONJ
app01-11090	70	23	thus	thus	ADV
app01-11090	70	24	no	no	DET
app01-11090	70	25	additional	additional	ADJ
app01-11090	70	26	volume	volume	NOUN
app01-11090	70	27	constraint	constraint	NOUN
app01-11090	70	28	is	be	AUX
app01-11090	70	29	needed	need	VERB
app01-11090	70	30	.	.	PUNCT
app01-11090	71	1	formally	formally	ADV
app01-11090	71	2	,	,	PUNCT
app01-11090	71	3	our	our	PRON
app01-11090	71	4	optimisation	optimisation	NOUN
app01-11090	71	5	problem	problem	NOUN
app01-11090	71	6	reads	read	VERB
app01-11090	71	7	max	max	PROPN
app01-11090	71	8	a	a	DET
app01-11090	71	9	o•(a	o•(a	PROPN
app01-11090	71	10	)	)	PUNCT
app01-11090	71	11	(	(	PUNCT
app01-11090	71	12	14a	14a	NOUN
app01-11090	71	13	)	)	PUNCT
app01-11090	71	14	a	a	DET
app01-11090	71	15	≤	≤	NUM
app01-11090	71	16	ai	ai	VERB
app01-11090	71	17	≤	≤	NOUN
app01-11090	71	18	a	a	DET
app01-11090	71	19	,	,	PUNCT
app01-11090	71	20	(	(	PUNCT
app01-11090	71	21	14b	14b	NUM
app01-11090	71	22	)	)	PUNCT
app01-11090	71	23	where	where	SCONJ
app01-11090	71	24	we	we	PRON
app01-11090	71	25	set	set	VERB
app01-11090	71	26	the	the	DET
app01-11090	71	27	upper	upper	ADJ
app01-11090	71	28	bound	bind	VERB
app01-11090	71	29	a	a	DET
app01-11090	71	30	such	such	ADJ
app01-11090	71	31	that	that	SCONJ
app01-11090	71	32	the	the	DET
app01-11090	71	33	diameter	diameter	NOUN
app01-11090	71	34	of	of	ADP
app01-11090	71	35	the	the	DET
app01-11090	71	36	largest	large	ADJ
app01-11090	71	37	circular	circular	ADJ
app01-11090	71	38	cross	cross	NOUN
app01-11090	71	39	-	-	NOUN
app01-11090	71	40	section	section	NOUN
app01-11090	71	41	is	be	AUX
app01-11090	71	42	at	at	ADP
app01-11090	71	43	maximum	maximum	ADJ
app01-11090	71	44	one	one	NUM
app01-11090	71	45	tenth	tenth	NOUN
app01-11090	71	46	of	of	ADP
app01-11090	71	47	the	the	DET
app01-11090	71	48	shortest	short	ADJ
app01-11090	71	49	truss	truss	ADJ
app01-11090	71	50	rod	rod	NOUN
app01-11090	71	51	in	in	ADP
app01-11090	71	52	the	the	DET
app01-11090	71	53	ground	ground	NOUN
app01-11090	71	54	structure	structure	NOUN
app01-11090	71	55	,	,	PUNCT
app01-11090	71	56	and	and	CCONJ
app01-11090	71	57	the	the	DET
app01-11090	71	58	lower	lower	ADV
app01-11090	71	59	bound	bind	VERB
app01-11090	71	60	a	a	DET
app01-11090	71	61	=	=	SYM
app01-11090	71	62	10−4	10−4	NUM
app01-11090	71	63	·	·	PUNCT
app01-11090	71	64	a	a	PRON
app01-11090	71	65	is	be	AUX
app01-11090	71	66	posed	pose	VERB
app01-11090	71	67	to	to	PART
app01-11090	71	68	avoid	avoid	VERB
app01-11090	71	69	an	an	DET
app01-11090	71	70	ill	ill	ADV
app01-11090	71	71	-	-	PUNCT
app01-11090	71	72	conditioned	condition	VERB
app01-11090	71	73	system	system	NOUN
app01-11090	71	74	in	in	ADP
app01-11090	71	75	homogenisation	homogenisation	NOUN
app01-11090	71	76	(	(	PUNCT
app01-11090	71	77	8)	8)	NUM
app01-11090	71	78	.	.	PUNCT
app01-11090	71	79	note	note	NOUN
app01-11090	71	80	that	that	SCONJ
app01-11090	71	81	•	•	NOUN
app01-11090	71	82	stands	stand	VERB
app01-11090	71	83	either	either	CCONJ
app01-11090	71	84	for	for	ADP
app01-11090	71	85	i	i	PRON
app01-11090	71	86	or	or	CCONJ
app01-11090	71	87	for	for	ADP
app01-11090	71	88	v	v	NUM
app01-11090	72	1	such	such	ADJ
app01-11090	72	2	that	that	SCONJ
app01-11090	72	3	(	(	PUNCT
app01-11090	72	4	14	14	NUM
app01-11090	72	5	)	)	PUNCT
app01-11090	72	6	covers	cover	VERB
app01-11090	72	7	both	both	DET
app01-11090	72	8	(	(	PUNCT
app01-11090	72	9	12	12	NUM
app01-11090	72	10	)	)	PUNCT
app01-11090	72	11	and	and	CCONJ
app01-11090	72	12	(	(	PUNCT
app01-11090	72	13	13	13	NUM
app01-11090	72	14	)	)	PUNCT
app01-11090	72	15	.	.	PUNCT
app01-11090	73	1	despite	despite	SCONJ
app01-11090	73	2	a	a	DET
app01-11090	73	3	seemingly	seemingly	ADV
app01-11090	73	4	complex	complex	ADJ
app01-11090	73	5	structure	structure	NOUN
app01-11090	73	6	of	of	ADP
app01-11090	73	7	the	the	DET
app01-11090	73	8	objective	objective	NOUN
app01-11090	73	9	,	,	PUNCT
app01-11090	73	10	a	a	DET
app01-11090	73	11	gradient	gradient	NOUN
app01-11090	73	12	with	with	ADP
app01-11090	73	13	respect	respect	NOUN
app01-11090	73	14	to	to	ADP
app01-11090	73	15	the	the	DET
app01-11090	73	16	design	design	NOUN
app01-11090	73	17	variables	variable	NOUN
app01-11090	73	18	a	a	PRON
app01-11090	73	19	is	be	AUX
app01-11090	73	20	readily	readily	ADV
app01-11090	73	21	available	available	ADJ
app01-11090	73	22	via	via	ADP
app01-11090	73	23	the	the	DET
app01-11090	73	24	chain	chain	NOUN
app01-11090	73	25	rule	rule	NOUN
app01-11090	73	26	,	,	PUNCT
app01-11090	73	27	i.e.	i.e.	X
app01-11090	73	28	∂	∂	NUM
app01-11090	73	29	∂ai	∂ai	PROPN
app01-11090	73	30	oi(a	oi(a	NOUN
app01-11090	73	31	)	)	PUNCT
app01-11090	74	1	=	=	SYM
app01-11090	74	2	∂λ5(a	∂λ5(a	NOUN
app01-11090	74	3	)	)	PUNCT
app01-11090	74	4	∂ai	∂ai	PROPN
app01-11090	74	5	αi(a	αi(a	NUM
app01-11090	74	6	)	)	PUNCT
app01-11090	74	7	−	−	ADP
app01-11090	75	1	∂αi(a	∂αi(a	ADJ
app01-11090	75	2	)	)	PUNCT
app01-11090	75	3	∂ai	∂ai	PROPN
app01-11090	75	4	λ5(a	λ5(a	NOUN
app01-11090	75	5	)	)	PUNCT
app01-11090	75	6	αi2(a	αi2(a	NOUN
app01-11090	75	7	)	)	PUNCT
app01-11090	75	8	(	(	PUNCT
app01-11090	75	9	15	15	NUM
app01-11090	75	10	)	)	PUNCT
app01-11090	75	11	and	and	CCONJ
app01-11090	75	12	∂	∂	NUM
app01-11090	75	13	∂ai	∂ai	PROPN
app01-11090	75	14	ov(a	ov(a	NOUN
app01-11090	75	15	)	)	PUNCT
app01-11090	75	16	=	=	SYM
app01-11090	75	17	∂αv(a	∂αv(a	NOUN
app01-11090	75	18	)	)	PUNCT
app01-11090	76	1	∂ai	∂ai	PROPN
app01-11090	76	2	λ1(a	λ1(a	NOUN
app01-11090	76	3	)	)	PUNCT
app01-11090	76	4	−	−	PROPN
app01-11090	76	5	∂λ1(a	∂λ1(a	NOUN
app01-11090	76	6	)	)	PUNCT
app01-11090	76	7	∂ai	∂ai	PROPN
app01-11090	76	8	αv(a	αv(a	NOUN
app01-11090	76	9	)	)	PUNCT
app01-11090	76	10	λ2	λ2	NOUN
app01-11090	76	11	1(a	1(a	NUM
app01-11090	76	12	)	)	PUNCT
app01-11090	76	13	,	,	PUNCT
app01-11090	76	14	(	(	PUNCT
app01-11090	76	15	16	16	NUM
app01-11090	76	16	)	)	PUNCT
app01-11090	76	17	respectively	respectively	ADV
app01-11090	76	18	.	.	PUNCT
app01-11090	77	1	the	the	DET
app01-11090	77	2	sensitivity	sensitivity	NOUN
app01-11090	77	3	of	of	ADP
app01-11090	77	4	the	the	DET
app01-11090	77	5	projected	project	VERB
app01-11090	77	6	stiffness	stiffness	NOUN
app01-11090	77	7	α	α	NOUN
app01-11090	77	8	with	with	ADP
app01-11090	77	9	a	a	DET
app01-11090	77	10	given	give	VERB
app01-11090	77	11	p	p	NOUN
app01-11090	77	12	follows	follow	VERB
app01-11090	77	13	directly	directly	ADV
app01-11090	77	14	from	from	ADP
app01-11090	77	15	the	the	DET
app01-11090	77	16	definition	definition	NOUN
app01-11090	77	17	(	(	PUNCT
app01-11090	77	18	10	10	NUM
app01-11090	77	19	)	)	PUNCT
app01-11090	77	20	∂α(a	∂α(a	NOUN
app01-11090	77	21	)	)	PUNCT
app01-11090	77	22	∂ai	∂ai	PROPN
app01-11090	77	23	=	=	SYM
app01-11090	77	24	pt	pt	X
app01-11090	77	25	∂dhom(a	∂dhom(a	PROPN
app01-11090	77	26	)	)	PUNCT
app01-11090	77	27	∂ai	∂ai	PROPN
app01-11090	77	28	p	p	NOUN
app01-11090	77	29	.	.	PUNCT
app01-11090	78	1	(	(	PUNCT
app01-11090	78	2	17	17	NUM
app01-11090	78	3	)	)	PUNCT
app01-11090	78	4	a	a	DET
app01-11090	78	5	similar	similar	ADJ
app01-11090	78	6	expression	expression	NOUN
app01-11090	78	7	also	also	ADV
app01-11090	78	8	holds	hold	VERB
app01-11090	78	9	for	for	ADP
app01-11090	78	10	the	the	DET
app01-11090	78	11	sensitivity	sensitivity	NOUN
app01-11090	78	12	of	of	ADP
app01-11090	78	13	the	the	DET
app01-11090	78	14	k	k	NOUN
app01-11090	78	15	-	-	PUNCT
app01-11090	78	16	th	th	X
app01-11090	78	17	largest	large	ADJ
app01-11090	78	18	eigenvalue	eigenvalue	NOUN
app01-11090	78	19	,	,	PUNCT
app01-11090	78	20	that	that	PRON
app01-11090	78	21	is	be	AUX
app01-11090	78	22	∂λk(a	∂λk(a	PRON
app01-11090	78	23	)	)	PUNCT
app01-11090	79	1	∂ai	∂ai	PROPN
app01-11090	79	2	=	=	SYM
app01-11090	79	3	vt	vt	PROPN
app01-11090	79	4	k	k	PROPN
app01-11090	79	5	∂dres(a	∂dres(a	PROPN
app01-11090	79	6	)	)	PUNCT
app01-11090	80	1	∂ai	∂ai	PROPN
app01-11090	80	2	vk	vk	NOUN
app01-11090	80	3	,	,	PUNCT
app01-11090	80	4	(	(	PUNCT
app01-11090	80	5	18	18	NUM
app01-11090	80	6	)	)	PUNCT
app01-11090	80	7	where	where	SCONJ
app01-11090	80	8	vk	vk	NOUN
app01-11090	80	9	is	be	AUX
app01-11090	80	10	the	the	DET
app01-11090	80	11	eigenvector	eigenvector	NOUN
app01-11090	80	12	pertinent	pertinent	NOUN
app01-11090	80	13	to	to	ADP
app01-11090	80	14	the	the	DET
app01-11090	80	15	k	k	NOUN
app01-11090	80	16	-	-	PUNCT
app01-11090	80	17	th	th	X
app01-11090	80	18	largest	large	ADJ
app01-11090	80	19	eigenvalue	eigenvalue	NOUN
app01-11090	80	20	and	and	CCONJ
app01-11090	80	21	∂dres(a	∂dres(a	PRON
app01-11090	80	22	)	)	PUNCT
app01-11090	81	1	∂ai	∂ai	PROPN
app01-11090	81	2	=	=	SYM
app01-11090	81	3	∂dhom(a	∂dhom(a	PROPN
app01-11090	81	4	)	)	PUNCT
app01-11090	81	5	∂ai	∂ai	PROPN
app01-11090	81	6	−	−	PROPN
app01-11090	81	7	∂α(a	∂α(a	NOUN
app01-11090	81	8	)	)	PUNCT
app01-11090	81	9	∂ai	∂ai	PROPN
app01-11090	81	10	p	p	NOUN
app01-11090	81	11	pt	pt	NOUN
app01-11090	81	12	.	.	PUNCT
app01-11090	82	1	(	(	PUNCT
app01-11090	82	2	19	19	NUM
app01-11090	82	3	)	)	PUNCT
app01-11090	82	4	the	the	DET
app01-11090	82	5	last	last	ADJ
app01-11090	82	6	missing	missing	ADJ
app01-11090	82	7	link	link	NOUN
app01-11090	82	8	in	in	ADP
app01-11090	82	9	the	the	DET
app01-11090	82	10	chain	chain	NOUN
app01-11090	82	11	rule	rule	NOUN
app01-11090	82	12	is	be	AUX
app01-11090	82	13	the	the	DET
app01-11090	82	14	sensitivity	sensitivity	NOUN
app01-11090	82	15	of	of	ADP
app01-11090	82	16	the	the	DET
app01-11090	82	17	effective	effective	ADJ
app01-11090	82	18	stiffness	stiffness	NOUN
app01-11090	82	19	matrix	matrix	NOUN
app01-11090	82	20	∂dhom(a	∂dhom(a	NOUN
app01-11090	82	21	)	)	PUNCT
app01-11090	82	22	∂ai	∂ai	PROPN
app01-11090	82	23	=	=	NOUN
app01-11090	82	24	1	1	NUM
app01-11090	82	25	v	v	NOUN
app01-11090	82	26	∂keff(a	∂keff(a	PUNCT
app01-11090	82	27	)	)	PUNCT
app01-11090	83	1	∂ai	∂ai	PROPN
app01-11090	83	2	=	=	NOUN
app01-11090	83	3	1	1	NUM
app01-11090	83	4	v	v	NOUN
app01-11090	83	5	∂	∂	NOUN
app01-11090	83	6	∂ai	∂ai	PROPN
app01-11090	83	7	(	(	PUNCT
app01-11090	83	8	k̂ee(a	k̂ee(a	PROPN
app01-11090	83	9	)	)	PUNCT
app01-11090	83	10	−	−	PROPN
app01-11090	83	11	k̂eυ(a	k̂eυ(a	PROPN
app01-11090	83	12	)	)	PUNCT
app01-11090	83	13	[	[	PUNCT
app01-11090	83	14	k̂υυ(a	k̂υυ(a	PROPN
app01-11090	83	15	)	)	PUNCT
app01-11090	83	16	]	]	SYM
app01-11090	83	17	−1	−1	NOUN
app01-11090	83	18	k̂υe(a	k̂υe(a	NOUN
app01-11090	83	19	)	)	PUNCT
app01-11090	83	20	)	)	PUNCT
app01-11090	83	21	.	.	PUNCT
app01-11090	84	1	(	(	PUNCT
app01-11090	84	2	20	20	X
app01-11090	84	3	)	)	PUNCT
app01-11090	84	4	dropping	drop	VERB
app01-11090	84	5	the	the	DET
app01-11090	84	6	explicit	explicit	ADJ
app01-11090	84	7	dependence	dependence	NOUN
app01-11090	84	8	on	on	ADP
app01-11090	84	9	a	a	PRON
app01-11090	84	10	and	and	CCONJ
app01-11090	84	11	using	use	VERB
app01-11090	84	12	the	the	DET
app01-11090	84	13	terse	terse	ADJ
app01-11090	84	14	notation	notation	NOUN
app01-11090	84	15	k̂••,ai	k̂••,ai	NOUN
app01-11090	84	16	for	for	ADP
app01-11090	84	17	the	the	DET
app01-11090	84	18	partial	partial	ADJ
app01-11090	84	19	derivative	derivative	NOUN
app01-11090	84	20	with	with	ADP
app01-11090	84	21	respect	respect	NOUN
app01-11090	84	22	to	to	ADP
app01-11090	84	23	ai	ai	VERB
app01-11090	84	24	,	,	PUNCT
app01-11090	84	25	we	we	PRON
app01-11090	84	26	obtain	obtain	VERB
app01-11090	84	27	∂keff	∂keff	PROPN
app01-11090	84	28	∂ai	∂ai	PROPN
app01-11090	84	29	=	=	SYM
app01-11090	84	30	k̂ee	k̂ee	NOUN
app01-11090	84	31	,	,	PUNCT
app01-11090	84	32	ai	ai	VERB
app01-11090	84	33	−	−	PROPN
app01-11090	84	34	k̂eυ	k̂eυ	PROPN
app01-11090	84	35	,	,	PUNCT
app01-11090	84	36	ai	ai	VERB
app01-11090	84	37	k̂−1	k̂−1	PROPN
app01-11090	84	38	υυ	υυ	ADP
app01-11090	84	39	k̂υe	k̂υe	PROPN
app01-11090	84	40	+	+	CCONJ
app01-11090	84	41	k̂eυk̂−1	k̂eυk̂−1	NOUN
app01-11090	84	42	υυ	υυ	ADP
app01-11090	84	43	k̂υυ	k̂υυ	PROPN
app01-11090	84	44	,	,	PUNCT
app01-11090	84	45	ai	ai	VERB
app01-11090	84	46	k̂−1	k̂−1	PROPN
app01-11090	84	47	υυ	υυ	ADP
app01-11090	84	48	k̂υe	k̂υe	PROPN
app01-11090	84	49	−	−	PROPN
app01-11090	84	50	k̂eυk̂−1	k̂eυk̂−1	NOUN
app01-11090	84	51	υυ	υυ	ADP
app01-11090	84	52	k̂υe	k̂υe	PROPN
app01-11090	84	53	,	,	PUNCT
app01-11090	84	54	ai	ai	VERB
app01-11090	84	55	=	=	PUNCT
app01-11090	84	56	k̂ee	k̂ee	PROPN
app01-11090	84	57	,	,	PUNCT
app01-11090	84	58	ai	ai	VERB
app01-11090	84	59	−	−	PROPN
app01-11090	84	60	k̂eυ	k̂eυ	PROPN
app01-11090	84	61	,	,	PUNCT
app01-11090	84	62	ai	ai	VERB
app01-11090	84	63	θ	θ	PROPN
app01-11090	84	64	+	+	PUNCT
app01-11090	85	1	θtk̂υυ	θtk̂υυ	PROPN
app01-11090	85	2	,	,	PUNCT
app01-11090	85	3	ai	ai	VERB
app01-11090	85	4	θ	θ	PROPN
app01-11090	85	5	−	−	PROPN
app01-11090	86	1	θtk̂υe	θtk̂υe	PROPN
app01-11090	86	2	,	,	PUNCT
app01-11090	86	3	ai	ai	INTJ
app01-11090	86	4	,	,	PUNCT
app01-11090	86	5	(	(	PUNCT
app01-11090	86	6	21	21	NUM
app01-11090	86	7	)	)	PUNCT
app01-11090	86	8	36	36	NUM
app01-11090	86	9	vol	vol	NOUN
app01-11090	86	10	.	.	PUNCT
app01-11090	87	1	54/2025	54/2025	NUM
app01-11090	87	2	optimising	optimise	VERB
app01-11090	87	3	truss	truss	NOUN
app01-11090	87	4	-	-	PUNCT
app01-11090	87	5	based	base	VERB
app01-11090	87	6	metamaterials	metamaterial	NOUN
app01-11090	87	7	for	for	ADP
app01-11090	87	8	unimodal	unimodal	ADJ
app01-11090	87	9	.	.	PUNCT
app01-11090	87	10	.	.	PUNCT
app01-11090	87	11	.	.	PUNCT
app01-11090	88	1	where	where	SCONJ
app01-11090	88	2	θ	θ	PROPN
app01-11090	88	3	is	be	AUX
app01-11090	88	4	the	the	DET
app01-11090	88	5	solution	solution	NOUN
app01-11090	88	6	to	to	ADP
app01-11090	88	7	an	an	DET
app01-11090	88	8	adjoin	adjoin	NOUN
app01-11090	88	9	problem	problem	NOUN
app01-11090	88	10	k̂υυθ	k̂υυθ	NOUN
app01-11090	89	1	=	=	SYM
app01-11090	89	2	k̂υe	k̂υe	PROPN
app01-11090	89	3	.	.	PUNCT
app01-11090	90	1	(	(	PUNCT
app01-11090	90	2	22	22	NUM
app01-11090	90	3	)	)	PUNCT
app01-11090	90	4	the	the	DET
app01-11090	90	5	sensitivities	sensitivity	NOUN
app01-11090	90	6	of	of	ADP
app01-11090	90	7	the	the	DET
app01-11090	90	8	four	four	NUM
app01-11090	90	9	sub	sub	NOUN
app01-11090	90	10	-	-	ADJ
app01-11090	90	11	blocks	block	NOUN
app01-11090	90	12	k̂ee	k̂ee	NOUN
app01-11090	90	13	,	,	PUNCT
app01-11090	90	14	k̂eυ	k̂eυ	PROPN
app01-11090	90	15	,	,	PUNCT
app01-11090	90	16	k̂υe	k̂υe	NOUN
app01-11090	90	17	,	,	PUNCT
app01-11090	90	18	and	and	CCONJ
app01-11090	90	19	k̂υυ	k̂υυ	PROPN
app01-11090	90	20	follow	follow	VERB
app01-11090	90	21	the	the	DET
app01-11090	90	22	same	same	ADJ
app01-11090	90	23	pattern	pattern	NOUN
app01-11090	90	24	as	as	SCONJ
app01-11090	90	25	they	they	PRON
app01-11090	90	26	are	be	AUX
app01-11090	90	27	(	(	PUNCT
app01-11090	90	28	potentially	potentially	ADV
app01-11090	90	29	asymmetric	asymmetric	ADJ
app01-11090	90	30	)	)	PUNCT
app01-11090	90	31	projections	projection	NOUN
app01-11090	90	32	of	of	ADP
app01-11090	90	33	k(a	k(a	NOUN
app01-11090	90	34	)	)	PUNCT
app01-11090	90	35	,	,	PUNCT
app01-11090	90	36	recall	recall	NOUN
app01-11090	90	37	(	(	PUNCT
app01-11090	90	38	7	7	NUM
app01-11090	90	39	)	)	PUNCT
app01-11090	90	40	,	,	PUNCT
app01-11090	90	41	and	and	CCONJ
app01-11090	90	42	thus	thus	ADV
app01-11090	90	43	they	they	PRON
app01-11090	90	44	all	all	PRON
app01-11090	90	45	require	require	VERB
app01-11090	90	46	only	only	ADV
app01-11090	90	47	∂k(a	∂k(a	NOUN
app01-11090	90	48	)	)	PUNCT
app01-11090	91	1	∂ai	∂ai	PROPN
app01-11090	91	2	=	=	PUNCT
app01-11090	92	1	lt	lt	NOUN
app01-11090	92	2	i	i	PRON
app01-11090	92	3	tt	tt	VERB
app01-11090	93	1	i	i	PRON
app01-11090	93	2	e	e	PROPN
app01-11090	93	3	li	li	X
app01-11090	93	4	[	[	PUNCT
app01-11090	93	5	1	1	NUM
app01-11090	93	6	−1	−1	NOUN
app01-11090	93	7	−1	−1	NOUN
app01-11090	93	8	1	1	X
app01-11090	93	9	]	]	PUNCT
app01-11090	93	10	tili	tili	NOUN
app01-11090	93	11	.	.	PUNCT
app01-11090	94	1	(	(	PUNCT
app01-11090	94	2	23	23	X
app01-11090	94	3	)	)	PUNCT
app01-11090	94	4	being	be	AUX
app01-11090	94	5	able	able	ADJ
app01-11090	94	6	to	to	PART
app01-11090	94	7	express	express	VERB
app01-11090	94	8	the	the	DET
app01-11090	94	9	gradient	gradient	NOUN
app01-11090	94	10	of	of	ADP
app01-11090	94	11	the	the	DET
app01-11090	94	12	objective	objective	ADJ
app01-11090	94	13	function	function	NOUN
app01-11090	94	14	analytically	analytically	ADV
app01-11090	94	15	led	lead	VERB
app01-11090	94	16	us	we	PRON
app01-11090	94	17	to	to	ADP
app01-11090	94	18	the	the	DET
app01-11090	94	19	adoption	adoption	NOUN
app01-11090	94	20	of	of	ADP
app01-11090	94	21	a	a	DET
app01-11090	94	22	steepest	steep	ADJ
app01-11090	94	23	ascent	ascent	NOUN
app01-11090	94	24	method	method	NOUN
app01-11090	94	25	.	.	PUNCT
app01-11090	95	1	to	to	PART
app01-11090	95	2	compensate	compensate	VERB
app01-11090	95	3	for	for	ADP
app01-11090	95	4	the	the	DET
app01-11090	95	5	fact	fact	NOUN
app01-11090	95	6	that	that	SCONJ
app01-11090	95	7	we	we	PRON
app01-11090	95	8	did	do	AUX
app01-11090	95	9	not	not	PART
app01-11090	95	10	compute	compute	VERB
app01-11090	95	11	a	a	DET
app01-11090	95	12	hessian	hessian	NOUN
app01-11090	95	13	,	,	PUNCT
app01-11090	95	14	we	we	PRON
app01-11090	95	15	supplemented	supplement	VERB
app01-11090	95	16	the	the	DET
app01-11090	95	17	steepest	steep	ADJ
app01-11090	95	18	ascent	ascent	NOUN
app01-11090	95	19	method	method	NOUN
app01-11090	95	20	with	with	ADP
app01-11090	95	21	the	the	DET
app01-11090	95	22	line	line	NOUN
app01-11090	95	23	search	search	NOUN
app01-11090	95	24	method	method	NOUN
app01-11090	95	25	equipped	equip	VERB
app01-11090	95	26	with	with	ADP
app01-11090	95	27	the	the	DET
app01-11090	95	28	armijo	armijo	PROPN
app01-11090	95	29	rule	rule	NOUN
app01-11090	95	30	[	[	X
app01-11090	95	31	29	29	NUM
app01-11090	95	32	]	]	PUNCT
app01-11090	95	33	.	.	PUNCT
app01-11090	96	1	we	we	PRON
app01-11090	96	2	started	start	VERB
app01-11090	96	3	by	by	ADP
app01-11090	96	4	randomly	randomly	ADV
app01-11090	96	5	initialising	initialise	VERB
app01-11090	96	6	feasible	feasible	ADJ
app01-11090	96	7	design	design	NOUN
app01-11090	96	8	variables	variable	NOUN
app01-11090	96	9	a	a	PRON
app01-11090	96	10	that	that	DET
app01-11090	96	11	satisfy	satisfy	NOUN
app01-11090	96	12	the	the	DET
app01-11090	96	13	box	box	NOUN
app01-11090	96	14	constraints	constraint	NOUN
app01-11090	96	15	(	(	PUNCT
app01-11090	96	16	14	14	NUM
app01-11090	96	17	)	)	PUNCT
app01-11090	96	18	.	.	PUNCT
app01-11090	97	1	in	in	ADP
app01-11090	97	2	each	each	DET
app01-11090	97	3	iteration	iteration	NOUN
app01-11090	97	4	,	,	PUNCT
app01-11090	97	5	we	we	PRON
app01-11090	97	6	first	first	ADV
app01-11090	97	7	calculated	calculate	VERB
app01-11090	97	8	the	the	DET
app01-11090	97	9	gradient	gradient	NOUN
app01-11090	97	10	of	of	ADP
app01-11090	97	11	the	the	DET
app01-11090	97	12	objective	objective	ADJ
app01-11090	97	13	function	function	NOUN
app01-11090	97	14	∇o	∇o	ADJ
app01-11090	97	15	using	use	VERB
app01-11090	97	16	the	the	DET
app01-11090	97	17	expressions	expression	NOUN
app01-11090	97	18	introduced	introduce	VERB
app01-11090	97	19	above	above	ADV
app01-11090	97	20	.	.	PUNCT
app01-11090	98	1	next	next	ADV
app01-11090	98	2	,	,	PUNCT
app01-11090	98	3	we	we	PRON
app01-11090	98	4	defined	define	VERB
app01-11090	98	5	a	a	DET
app01-11090	98	6	modified	modify	VERB
app01-11090	98	7	gradient	gradient	NOUN
app01-11090	98	8	∇̂o(a	∇̂o(a	NOUN
app01-11090	98	9	)	)	PUNCT
app01-11090	98	10	by	by	ADP
app01-11090	98	11	projecting	project	VERB
app01-11090	98	12	the	the	DET
app01-11090	98	13	original	original	ADJ
app01-11090	98	14	one	one	NOUN
app01-11090	98	15	on	on	ADP
app01-11090	98	16	the	the	DET
app01-11090	98	17	active	active	ADJ
app01-11090	98	18	box	box	NOUN
app01-11090	98	19	constraints	constraint	NOUN
app01-11090	98	20	such	such	ADJ
app01-11090	98	21	that	that	SCONJ
app01-11090	98	22	∇̂oi(a	∇̂oi(a	PROPN
app01-11090	98	23	)	)	PUNCT
app01-11090	98	24	=	=	SYM
app01-11090	99	1			NOUN
app01-11090	99	2	0	0	PUNCT
app01-11090	99	3	if	if	SCONJ
app01-11090	99	4	ai	ai	VERB
app01-11090	99	5	=	=	PUNCT
app01-11090	99	6	a	a	DET
app01-11090	99	7	∧	∧	PROPN
app01-11090	99	8	∇oi(a	∇oi(a	PROPN
app01-11090	99	9	)	)	PUNCT
app01-11090	99	10	>	>	X
app01-11090	99	11	0	0	PUNCT
app01-11090	99	12	0	0	PUNCT
app01-11090	99	13	if	if	SCONJ
app01-11090	99	14	ai	ai	VERB
app01-11090	99	15	=	=	PUNCT
app01-11090	99	16	a	a	DET
app01-11090	99	17	∧	∧	PROPN
app01-11090	99	18	∇oi(a	∇oi(a	PROPN
app01-11090	99	19	)	)	PUNCT
app01-11090	99	20	<	<	X
app01-11090	99	21	0	0	NUM
app01-11090	99	22	∇oi(a	∇oi(a	NOUN
app01-11090	99	23	)	)	PUNCT
app01-11090	99	24	otherwise	otherwise	ADV
app01-11090	99	25	.	.	PUNCT
app01-11090	100	1	(	(	PUNCT
app01-11090	100	2	24	24	NUM
app01-11090	100	3	)	)	PUNCT
app01-11090	100	4	the	the	DET
app01-11090	100	5	modified	modify	VERB
app01-11090	100	6	gradient	gradient	NOUN
app01-11090	100	7	then	then	ADV
app01-11090	100	8	constituted	constitute	VERB
app01-11090	100	9	the	the	DET
app01-11090	100	10	search	search	NOUN
app01-11090	100	11	direction	direction	NOUN
app01-11090	100	12	for	for	ADP
app01-11090	100	13	the	the	DET
app01-11090	100	14	inexact	inexact	ADJ
app01-11090	100	15	one	one	NUM
app01-11090	100	16	-	-	PUNCT
app01-11090	100	17	dimensional	dimensional	ADJ
app01-11090	100	18	maximisation	maximisation	NOUN
app01-11090	100	19	in	in	ADP
app01-11090	100	20	the	the	DET
app01-11090	100	21	current	current	ADJ
app01-11090	100	22	iteration	iteration	NOUN
app01-11090	100	23	.	.	PUNCT
app01-11090	101	1	starting	start	VERB
app01-11090	101	2	with	with	ADP
app01-11090	101	3	an	an	DET
app01-11090	101	4	initial	initial	ADJ
app01-11090	101	5	step	step	NOUN
app01-11090	101	6	length	length	NOUN
app01-11090	101	7	computed	compute	VERB
app01-11090	101	8	as	as	ADP
app01-11090	101	9	the	the	DET
app01-11090	101	10	minimum	minimum	NOUN
app01-11090	101	11	of	of	ADP
app01-11090	101	12	candidate	candidate	NOUN
app01-11090	101	13	lengths	length	NOUN
app01-11090	101	14	ν̃i	ν̃i	NOUN
app01-11090	101	15	ensuring	ensure	VERB
app01-11090	101	16	that	that	SCONJ
app01-11090	101	17	the	the	DET
app01-11090	101	18	box	box	NOUN
app01-11090	101	19	constraints	constraint	NOUN
app01-11090	101	20	are	be	AUX
app01-11090	101	21	not	not	PART
app01-11090	101	22	violated	violate	VERB
app01-11090	101	23	in	in	ADP
app01-11090	101	24	the	the	DET
app01-11090	101	25	new	new	ADJ
app01-11090	101	26	state	state	NOUN
app01-11090	101	27	,	,	PUNCT
app01-11090	101	28	i.e.	i.e.	X
app01-11090	101	29	,	,	PUNCT
app01-11090	101	30	ν̃i	ν̃i	ADJ
app01-11090	101	31	=	=	SYM
app01-11090	101	32			PROPN
app01-11090	101	33	(	(	PUNCT
app01-11090	101	34	a	a	DET
app01-11090	101	35	−	−	PROPN
app01-11090	101	36	ai)/∇̂oi(a	ai)/∇̂oi(a	NOUN
app01-11090	101	37	)	)	PUNCT
app01-11090	101	38	if	if	SCONJ
app01-11090	101	39	∇̂oi(a	∇̂oi(a	PROPN
app01-11090	101	40	)	)	PUNCT
app01-11090	101	41	>	>	X
app01-11090	101	42	0	0	PUNCT
app01-11090	102	1	(	(	PUNCT
app01-11090	102	2	a	a	DET
app01-11090	102	3	−	−	PROPN
app01-11090	102	4	ai)/∇̂oi(a	ai)/∇̂oi(a	NOUN
app01-11090	102	5	)	)	PUNCT
app01-11090	102	6	if	if	SCONJ
app01-11090	102	7	∇̂oi(a	∇̂oi(a	PROPN
app01-11090	102	8	)	)	PUNCT
app01-11090	102	9	<	<	X
app01-11090	102	10	0	0	NUM
app01-11090	102	11	0	0	NUM
app01-11090	103	1	otherwise	otherwise	ADV
app01-11090	103	2	,	,	PUNCT
app01-11090	103	3	(	(	PUNCT
app01-11090	103	4	25	25	NUM
app01-11090	103	5	)	)	PUNCT
app01-11090	103	6	we	we	PRON
app01-11090	103	7	halved	halve	VERB
app01-11090	103	8	the	the	DET
app01-11090	103	9	step	step	NOUN
app01-11090	103	10	length	length	NOUN
app01-11090	103	11	until	until	SCONJ
app01-11090	103	12	a	a	DET
app01-11090	103	13	significant	significant	ADJ
app01-11090	103	14	objective	objective	ADJ
app01-11090	103	15	increase	increase	NOUN
app01-11090	103	16	is	be	AUX
app01-11090	103	17	achieved	achieve	VERB
app01-11090	103	18	in	in	ADP
app01-11090	103	19	terms	term	NOUN
app01-11090	103	20	of	of	ADP
app01-11090	103	21	armijo	armijo	PROPN
app01-11090	103	22	rule	rule	NOUN
app01-11090	103	23	with	with	ADP
app01-11090	103	24	coefficient	coefficient	PROPN
app01-11090	103	25	c1	c1	PROPN
app01-11090	103	26	set	set	VERB
app01-11090	103	27	to	to	ADP
app01-11090	103	28	0.1	0.1	NUM
app01-11090	103	29	.	.	PUNCT
app01-11090	104	1	we	we	PRON
app01-11090	104	2	iterated	iterate	VERB
app01-11090	104	3	until	until	SCONJ
app01-11090	104	4	both	both	CCONJ
app01-11090	104	5	the	the	DET
app01-11090	104	6	relative	relative	ADJ
app01-11090	104	7	change	change	NOUN
app01-11090	104	8	in	in	ADP
app01-11090	104	9	design	design	NOUN
app01-11090	104	10	variables	variable	NOUN
app01-11090	104	11	and	and	CCONJ
app01-11090	104	12	the	the	DET
app01-11090	104	13	relative	relative	ADJ
app01-11090	104	14	change	change	NOUN
app01-11090	104	15	in	in	ADP
app01-11090	104	16	the	the	DET
app01-11090	104	17	objective	objective	ADJ
app01-11090	104	18	value	value	NOUN
app01-11090	104	19	dropped	drop	VERB
app01-11090	104	20	below	below	ADP
app01-11090	104	21	10−6	10−6	NUM
app01-11090	104	22	.	.	PUNCT
app01-11090	105	1	the	the	DET
app01-11090	105	2	structure	structure	NOUN
app01-11090	105	3	of	of	ADP
app01-11090	105	4	the	the	DET
app01-11090	105	5	adopted	adopt	VERB
app01-11090	105	6	optimisation	optimisation	NOUN
app01-11090	105	7	strategy	strategy	NOUN
app01-11090	105	8	is	be	AUX
app01-11090	105	9	summarised	summarise	VERB
app01-11090	105	10	in	in	ADP
app01-11090	105	11	algorithm	algorithm	NOUN
app01-11090	105	12	1	1	NUM
app01-11090	105	13	.	.	NOUN
app01-11090	105	14	3	3	X
app01-11090	105	15	.	.	X
app01-11090	105	16	results	result	NOUN
app01-11090	105	17	we	we	PRON
app01-11090	105	18	demonstrate	demonstrate	VERB
app01-11090	105	19	the	the	DET
app01-11090	105	20	proposed	propose	VERB
app01-11090	105	21	objective	objective	ADJ
app01-11090	105	22	formulation	formulation	NOUN
app01-11090	105	23	with	with	ADP
app01-11090	105	24	two	two	NUM
app01-11090	105	25	optimisation	optimisation	NOUN
app01-11090	105	26	problems	problem	NOUN
app01-11090	105	27	:	:	PUNCT
app01-11090	105	28	unimodal	unimodal	ADJ
app01-11090	105	29	and	and	CCONJ
app01-11090	105	30	pentamodal	pentamodal	ADJ
app01-11090	105	31	metamaterials	metamaterial	NOUN
app01-11090	105	32	.	.	PUNCT
app01-11090	106	1	as	as	SCONJ
app01-11090	106	2	stated	state	VERB
app01-11090	106	3	in	in	ADP
app01-11090	106	4	the	the	DET
app01-11090	106	5	previous	previous	ADJ
app01-11090	106	6	section	section	NOUN
app01-11090	106	7	,	,	PUNCT
app01-11090	106	8	both	both	DET
app01-11090	106	9	optimisation	optimisation	NOUN
app01-11090	106	10	problems	problem	NOUN
app01-11090	106	11	share	share	VERB
app01-11090	106	12	the	the	DET
app01-11090	106	13	same	same	ADJ
app01-11090	106	14	formulation	formulation	NOUN
app01-11090	106	15	but	but	CCONJ
app01-11090	106	16	differ	differ	VERB
app01-11090	106	17	in	in	ADP
app01-11090	106	18	the	the	DET
app01-11090	106	19	definition	definition	NOUN
app01-11090	106	20	of	of	ADP
app01-11090	106	21	the	the	DET
app01-11090	106	22	objective	objective	ADJ
app01-11090	106	23	function	function	NOUN
app01-11090	106	24	;	;	PUNCT
app01-11090	106	25	recall	recall	PROPN
app01-11090	106	26	eqs	eqs	PROPN
app01-11090	106	27	.	.	PUNCT
app01-11090	107	1	(	(	PUNCT
app01-11090	107	2	12	12	NUM
app01-11090	107	3	)	)	PUNCT
app01-11090	107	4	and	and	CCONJ
app01-11090	107	5	(	(	PUNCT
app01-11090	107	6	13	13	NUM
app01-11090	107	7	)	)	PUNCT
app01-11090	107	8	.	.	PUNCT
app01-11090	108	1	in	in	ADP
app01-11090	108	2	addition	addition	NOUN
app01-11090	108	3	,	,	PUNCT
app01-11090	108	4	we	we	PRON
app01-11090	108	5	show	show	VERB
app01-11090	108	6	the	the	DET
app01-11090	108	7	results	result	NOUN
app01-11090	108	8	for	for	ADP
app01-11090	108	9	two	two	NUM
app01-11090	108	10	ground	ground	NOUN
app01-11090	108	11	structures	structure	NOUN
app01-11090	108	12	depicted	depict	VERB
app01-11090	108	13	in	in	ADP
app01-11090	108	14	figure	figure	NOUN
app01-11090	108	15	1	1	NUM
app01-11090	108	16	,	,	PUNCT
app01-11090	108	17	with	with	ADP
app01-11090	108	18	the	the	DET
app01-11090	108	19	larger	large	ADJ
app01-11090	108	20	ground	ground	NOUN
app01-11090	108	21	structure	structure	NOUN
app01-11090	108	22	being	be	AUX
app01-11090	108	23	a	a	DET
app01-11090	108	24	periodic	periodic	ADJ
app01-11090	108	25	extension	extension	NOUN
app01-11090	108	26	of	of	ADP
app01-11090	108	27	the	the	DET
app01-11090	108	28	smaller	small	ADJ
app01-11090	108	29	one	one	NOUN
app01-11090	108	30	.	.	PUNCT
app01-11090	109	1	in	in	ADP
app01-11090	109	2	all	all	DET
app01-11090	109	3	cases	case	NOUN
app01-11090	109	4	,	,	PUNCT
app01-11090	109	5	we	we	PRON
app01-11090	109	6	assumed	assume	VERB
app01-11090	109	7	young	young	PROPN
app01-11090	109	8	’s	’s	PART
app01-11090	109	9	modulus	modulus	NOUN
app01-11090	109	10	of	of	ADP
app01-11090	109	11	elasticity	elasticity	NOUN
app01-11090	109	12	e	e	NOUN
app01-11090	109	13	=	=	NOUN
app01-11090	109	14	1	1	X
app01-11090	109	15	.	.	PUNCT
app01-11090	110	1	since	since	SCONJ
app01-11090	110	2	the	the	DET
app01-11090	110	3	response	response	NOUN
app01-11090	110	4	of	of	ADP
app01-11090	110	5	the	the	DET
app01-11090	110	6	metamaterial	metamaterial	ADJ
app01-11090	110	7	model	model	NOUN
app01-11090	110	8	is	be	AUX
app01-11090	110	9	linear	linear	ADJ
app01-11090	110	10	in	in	ADP
app01-11090	110	11	e	e	NOUN
app01-11090	110	12	,	,	PUNCT
app01-11090	110	13	the	the	DET
app01-11090	110	14	homogenised	homogenised	ADJ
app01-11090	110	15	stiffness	stiffness	ADJ
app01-11090	110	16	matrices	matrix	NOUN
app01-11090	110	17	can	can	AUX
app01-11090	110	18	be	be	AUX
app01-11090	110	19	understood	understand	VERB
app01-11090	110	20	as	as	SCONJ
app01-11090	110	21	normalised	normalise	VERB
app01-11090	110	22	with	with	ADP
app01-11090	110	23	respect	respect	NOUN
app01-11090	110	24	to	to	ADP
app01-11090	110	25	e.	e.	PROPN
app01-11090	110	26	algorithm	algorithm	PROPN
app01-11090	110	27	1	1	NUM
app01-11090	110	28	adopted	adopt	VERB
app01-11090	110	29	optimisation	optimisation	NOUN
app01-11090	110	30	strategy	strategy	NOUN
app01-11090	110	31	.	.	PUNCT
app01-11090	111	1	randomly	randomly	ADV
app01-11090	111	2	initialise	initialise	PROPN
app01-11090	111	3	a0	a0	NOUN
app01-11090	111	4	;	;	PUNCT
app01-11090	111	5	i	i	PROPN
app01-11090	111	6	=	=	NOUN
app01-11090	111	7	0	0	PUNCT
app01-11090	111	8	while	while	SCONJ
app01-11090	111	9	∥ai	∥ai	ADJ
app01-11090	111	10	−	−	PROPN
app01-11090	111	11	ai−1∥	ai−1∥	NOUN
app01-11090	111	12	∧	∧	PROPN
app01-11090	111	13	∥o(ai	∥o(ai	NOUN
app01-11090	111	14	)	)	PUNCT
app01-11090	111	15	−	−	PROPN
app01-11090	112	1	o(ai−1)∥	o(ai−1)∥	PROPN
app01-11090	112	2	>	>	PUNCT
app01-11090	112	3	10−6	10−6	NUM
app01-11090	112	4	compute	compute	NOUN
app01-11090	112	5	∇o(ai	∇o(ai	PROPN
app01-11090	112	6	)	)	PUNCT
app01-11090	112	7	∇̂o(ai	∇̂o(ai	ADP
app01-11090	112	8	)	)	PUNCT
app01-11090	112	9	=	=	AUX
app01-11090	112	10	modify	modify	VERB
app01-11090	112	11	∇o(ai	∇o(ai	NOUN
app01-11090	112	12	)	)	PUNCT
app01-11090	112	13	compute	compute	NOUN
app01-11090	112	14	ν̃	ν̃	PROPN
app01-11090	112	15	ν	ν	NOUN
app01-11090	112	16	=	=	SYM
app01-11090	112	17	min(ν̃	min(ν̃	X
app01-11090	112	18	)	)	PUNCT
app01-11090	112	19	repeat	repeat	VERB
app01-11090	112	20	anew	anew	ADV
app01-11090	112	21	=	=	PUNCT
app01-11090	113	1	a	a	DET
app01-11090	113	2	+	+	NUM
app01-11090	113	3	ν∇̂o(ai	ν∇̂o(ai	X
app01-11090	113	4	)	)	PUNCT
app01-11090	113	5	ν	ν	NOUN
app01-11090	113	6	=	=	PUNCT
app01-11090	113	7	ν/2	ν/2	NUM
app01-11090	113	8	until	until	ADP
app01-11090	113	9	o(ai	o(ai	PROPN
app01-11090	113	10	+	+	PROPN
app01-11090	113	11	ν∇̂o	ν∇̂o	PROPN
app01-11090	113	12	)	)	PUNCT
app01-11090	113	13	≥	≥	NOUN
app01-11090	113	14	o(ai)+c1ν∇̂o(ai)t∇̂o(ai	o(ai)+c1ν∇̂o(ai)t∇̂o(ai	ADJ
app01-11090	113	15	)	)	PUNCT
app01-11090	114	1	i	i	PRON
app01-11090	114	2	=	=	VERB
app01-11090	115	1	i	i	PRON
app01-11090	115	2	+	+	NOUN
app01-11090	115	3	1	1	NUM
app01-11090	115	4	ai	ai	NOUN
app01-11090	115	5	=	=	NOUN
app01-11090	115	6	anew	anew	ADJ
app01-11090	115	7	end	end	NOUN
app01-11090	115	8	0	0	NUM
app01-11090	115	9	2	2	NUM
app01-11090	115	10	y	y	PROPN
app01-11090	115	11	1	1	NUM
app01-11090	115	12	1.5	1.5	NUM
app01-11090	115	13	1	1	NUM
app01-11090	115	14	z	z	NOUN
app01-11090	115	15	0	0	NUM
app01-11090	115	16	0.5	0.5	NUM
app01-11090	115	17	0	0	NUM
app01-11090	115	18	0.5	0.5	NUM
app01-11090	115	19	x	x	SYM
app01-11090	115	20	1	1	NUM
app01-11090	115	21	1.5	1.5	NUM
app01-11090	115	22	22	22	NUM
app01-11090	115	23	figure	figure	NOUN
app01-11090	115	24	2	2	NUM
app01-11090	115	25	.	.	NUM
app01-11090	115	26	optimised	optimise	VERB
app01-11090	115	27	larger	large	ADJ
app01-11090	115	28	puc	puc	NOUN
app01-11090	115	29	of	of	ADP
app01-11090	115	30	a	a	DET
app01-11090	115	31	unimodal	unimodal	ADJ
app01-11090	115	32	metamaterial	metamaterial	NOUN
app01-11090	115	33	with	with	ADP
app01-11090	115	34	minimised	minimised	ADJ
app01-11090	115	35	shear	shear	NOUN
app01-11090	115	36	modulus	modulus	NOUN
app01-11090	115	37	in	in	ADP
app01-11090	115	38	the	the	DET
app01-11090	115	39	yz	yz	PROPN
app01-11090	115	40	direction	direction	NOUN
app01-11090	115	41	.	.	PUNCT
app01-11090	116	1	3.1	3.1	NUM
app01-11090	116	2	.	.	PUNCT
app01-11090	116	3	unimodal	unimodal	ADJ
app01-11090	116	4	metamaterial	metamaterial	NOUN
app01-11090	116	5	we	we	PRON
app01-11090	116	6	start	start	VERB
app01-11090	116	7	with	with	ADP
app01-11090	116	8	optimising	optimise	VERB
app01-11090	116	9	the	the	DET
app01-11090	116	10	microstructure	microstructure	NOUN
app01-11090	116	11	of	of	ADP
app01-11090	116	12	a	a	DET
app01-11090	116	13	unimodal	unimodal	ADJ
app01-11090	116	14	metamaterial	metamaterial	NOUN
app01-11090	116	15	with	with	ADP
app01-11090	116	16	vanishing	vanish	VERB
app01-11090	116	17	shear	shear	NOUN
app01-11090	116	18	modulus	modulus	NOUN
app01-11090	116	19	in	in	ADP
app01-11090	116	20	the	the	DET
app01-11090	116	21	yz	yz	PROPN
app01-11090	116	22	direction	direction	NOUN
app01-11090	116	23	.	.	PUNCT
app01-11090	117	1	to	to	ADP
app01-11090	117	2	this	this	DET
app01-11090	117	3	end	end	NOUN
app01-11090	117	4	,	,	PUNCT
app01-11090	117	5	we	we	PRON
app01-11090	117	6	set	set	VERB
app01-11090	117	7	p	p	NOUN
app01-11090	117	8	=	=	X
app01-11090	117	9	[	[	PUNCT
app01-11090	117	10	0	0	NUM
app01-11090	117	11	0	0	NUM
app01-11090	117	12	0	0	NUM
app01-11090	117	13	1	1	NUM
app01-11090	117	14	0	0	NUM
app01-11090	117	15	0	0	NUM
app01-11090	118	1	]	]	X
app01-11090	118	2	t	t	NOUN
app01-11090	118	3	in	in	ADP
app01-11090	118	4	the	the	DET
app01-11090	118	5	objective	objective	ADJ
app01-11090	118	6	definition	definition	NOUN
app01-11090	118	7	(	(	PUNCT
app01-11090	118	8	12	12	NUM
app01-11090	118	9	)	)	PUNCT
app01-11090	118	10	.	.	PUNCT
app01-11090	119	1	since	since	SCONJ
app01-11090	119	2	the	the	DET
app01-11090	119	3	whole	whole	ADJ
app01-11090	119	4	problem	problem	NOUN
app01-11090	119	5	is	be	AUX
app01-11090	119	6	non	non	ADJ
app01-11090	119	7	-	-	ADJ
app01-11090	119	8	convex	convex	ADJ
app01-11090	119	9	,	,	PUNCT
app01-11090	119	10	the	the	DET
app01-11090	119	11	gradient	gradient	NOUN
app01-11090	119	12	method	method	NOUN
app01-11090	119	13	renders	render	VERB
app01-11090	119	14	only	only	ADV
app01-11090	119	15	local	local	ADJ
app01-11090	119	16	optima	optima	NOUN
app01-11090	119	17	.	.	PUNCT
app01-11090	120	1	consequently	consequently	ADV
app01-11090	120	2	,	,	PUNCT
app01-11090	120	3	the	the	DET
app01-11090	120	4	optimised	optimise	VERB
app01-11090	120	5	microstructure	microstructure	NOUN
app01-11090	120	6	depends	depend	VERB
app01-11090	120	7	on	on	ADP
app01-11090	120	8	the	the	DET
app01-11090	120	9	initial	initial	ADJ
app01-11090	120	10	distribution	distribution	NOUN
app01-11090	120	11	of	of	ADP
app01-11090	120	12	cross	cross	ADJ
app01-11090	120	13	-	-	ADJ
app01-11090	120	14	sectional	sectional	ADJ
app01-11090	120	15	areas	area	NOUN
app01-11090	120	16	.	.	PUNCT
app01-11090	121	1	the	the	DET
app01-11090	121	2	best	good	ADJ
app01-11090	121	3	results	result	NOUN
app01-11090	121	4	obtained	obtain	VERB
app01-11090	121	5	out	out	ADP
app01-11090	121	6	of	of	ADP
app01-11090	121	7	100	100	NUM
app01-11090	121	8	independent	independent	ADJ
app01-11090	121	9	starting	starting	NOUN
app01-11090	121	10	points	point	NOUN
app01-11090	121	11	a0	a0	PROPN
app01-11090	121	12	are	be	AUX
app01-11090	121	13	shown	show	VERB
app01-11090	121	14	in	in	ADP
app01-11090	121	15	figure	figure	NOUN
app01-11090	121	16	2	2	NUM
app01-11090	121	17	for	for	ADP
app01-11090	121	18	both	both	DET
app01-11090	121	19	ground	ground	NOUN
app01-11090	121	20	structures	structure	NOUN
app01-11090	121	21	,	,	PUNCT
app01-11090	121	22	with	with	ADP
app01-11090	121	23	the	the	DET
app01-11090	121	24	line	line	NOUN
app01-11090	121	25	thicknesses	thickness	NOUN
app01-11090	121	26	indicating	indicate	VERB
app01-11090	121	27	the	the	DET
app01-11090	121	28	size	size	NOUN
app01-11090	121	29	of	of	ADP
app01-11090	121	30	the	the	DET
app01-11090	121	31	cross	cross	ADJ
app01-11090	121	32	-	-	ADJ
app01-11090	121	33	sectional	sectional	ADJ
app01-11090	121	34	areas	area	NOUN
app01-11090	121	35	.	.	PUNCT
app01-11090	122	1	the	the	DET
app01-11090	122	2	homogenised	homogenise	VERB
app01-11090	122	3	matrix	matrix	NOUN
app01-11090	122	4	dhom(aopt	dhom(aopt	PROPN
app01-11090	122	5	)	)	PUNCT
app01-11090	122	6	of	of	ADP
app01-11090	122	7	both	both	DET
app01-11090	122	8	optimised	optimise	VERB
app01-11090	122	9	structures	structure	NOUN
app01-11090	122	10	took	take	VERB
app01-11090	122	11	the	the	DET
app01-11090	122	12	form	form	NOUN
app01-11090	122	13	dhom	dhom	X
app01-11090	122	14	=	=	PUNCT
app01-11090	122	15			NOUN
app01-11090	122	16	6.70	6.70	NUM
app01-11090	122	17	1.39	1.39	NUM
app01-11090	122	18	1.39	1.39	NUM
app01-11090	122	19	0.00	0.00	NUM
app01-11090	122	20	0.00	0.00	NUM
app01-11090	122	21	0.00	0.00	NUM
app01-11090	122	22	1.39	1.39	NUM
app01-11090	122	23	5.32	5.32	NUM
app01-11090	122	24	0.00	0.00	NUM
app01-11090	122	25	0.00	0.00	NUM
app01-11090	122	26	0.00	0.00	NUM
app01-11090	122	27	0.00	0.00	NUM
app01-11090	122	28	1.39	1.39	NUM
app01-11090	122	29	0.00	0.00	NUM
app01-11090	122	30	5.32	5.32	NUM
app01-11090	122	31	0.00	0.00	NUM
app01-11090	122	32	0.00	0.00	NUM
app01-11090	122	33	0.00	0.00	NUM
app01-11090	122	34	0.00	0.00	NUM
app01-11090	122	35	0.00	0.00	NUM
app01-11090	122	36	0.00	0.00	NUM
app01-11090	122	37	0.00	0.00	NUM
app01-11090	122	38	0.00	0.00	NUM
app01-11090	122	39	0.00	0.00	NUM
app01-11090	122	40	0.00	0.00	NUM
app01-11090	122	41	0.00	0.00	NUM
app01-11090	122	42	0.00	0.00	NUM
app01-11090	122	43	0.00	0.00	NUM
app01-11090	122	44	1.39	1.39	NUM
app01-11090	122	45	0.00	0.00	NUM
app01-11090	122	46	0.00	0.00	NUM
app01-11090	122	47	0.00	0.00	NUM
app01-11090	122	48	0.00	0.00	NUM
app01-11090	122	49	0.00	0.00	NUM
app01-11090	122	50	0.00	0.00	NUM
app01-11090	122	51	1.39	1.39	NUM
app01-11090	122	52			NUM
app01-11090	122	53	×	×	PROPN
app01-11090	122	54	10−3	10−3	NUM
app01-11090	122	55	,	,	PUNCT
app01-11090	122	56	(	(	PUNCT
app01-11090	122	57	26	26	NUM
app01-11090	122	58	)	)	PUNCT
app01-11090	122	59	and	and	CCONJ
app01-11090	122	60	exhibited	exhibit	VERB
app01-11090	122	61	almost	almost	ADV
app01-11090	122	62	zero	zero	NUM
app01-11090	122	63	value	value	NOUN
app01-11090	122	64	at	at	ADP
app01-11090	122	65	the	the	DET
app01-11090	122	66	position	position	NOUN
app01-11090	122	67	dhom	dhom	ADJ
app01-11090	122	68	4,4	4,4	NUM
app01-11090	122	69	.	.	PUNCT
app01-11090	123	1	37	37	NUM
app01-11090	123	2	n.	n.	NOUN
app01-11090	123	3	jošková	jošková	PROPN
app01-11090	123	4	,	,	PUNCT
app01-11090	123	5	m.	m.	NOUN
app01-11090	123	6	tyburec	tyburec	NOUN
app01-11090	123	7	,	,	PUNCT
app01-11090	123	8	m.	m.	PROPN
app01-11090	123	9	doškář	doškář	PROPN
app01-11090	123	10	acta	acta	PROPN
app01-11090	123	11	polytechnica	polytechnica	PROPN
app01-11090	123	12	ctu	ctu	NOUN
app01-11090	123	13	proceedings	proceeding	NOUN
app01-11090	123	14	0	0	NUM
app01-11090	123	15	1	1	NUM
app01-11090	123	16	y	y	PROPN
app01-11090	123	17	0.5	0.5	NUM
app01-11090	123	18	0.8	0.8	NUM
app01-11090	123	19	0.6	0.6	NUM
app01-11090	123	20	z	z	NOUN
app01-11090	123	21	0.4	0.4	NUM
app01-11090	123	22	0	0	NUM
app01-11090	123	23	0.2	0.2	NUM
app01-11090	123	24	0	0	NUM
app01-11090	123	25	x	x	SYM
app01-11090	123	26	0.5	0.5	NUM
app01-11090	123	27	11	11	NUM
app01-11090	123	28	(	(	PUNCT
app01-11090	123	29	a	a	NOUN
app01-11090	123	30	)	)	PUNCT
app01-11090	123	31	.	.	PUNCT
app01-11090	123	32	0	0	NUM
app01-11090	123	33	1	1	NUM
app01-11090	123	34	y	y	PROPN
app01-11090	123	35	0.5	0.5	NUM
app01-11090	123	36	0.8	0.8	NUM
app01-11090	123	37	0.6	0.6	NUM
app01-11090	123	38	z	z	NOUN
app01-11090	123	39	0.4	0.4	NUM
app01-11090	123	40	0	0	NUM
app01-11090	123	41	0.2	0.2	NUM
app01-11090	123	42	0	0	NUM
app01-11090	123	43	x	x	SYM
app01-11090	123	44	0.5	0.5	NUM
app01-11090	123	45	11	11	NUM
app01-11090	123	46	(	(	PUNCT
app01-11090	123	47	b	b	NOUN
app01-11090	123	48	)	)	PUNCT
app01-11090	123	49	.	.	PUNCT
app01-11090	123	50	0	0	NUM
app01-11090	123	51	1	1	NUM
app01-11090	123	52	y	y	PROPN
app01-11090	123	53	0.5	0.5	NUM
app01-11090	123	54	0.8	0.8	NUM
app01-11090	123	55	0.6	0.6	NUM
app01-11090	123	56	z	z	NOUN
app01-11090	123	57	0.4	0.4	NUM
app01-11090	123	58	0	0	NUM
app01-11090	123	59	0.2	0.2	NUM
app01-11090	123	60	0	0	NUM
app01-11090	123	61	x	x	SYM
app01-11090	123	62	0.5	0.5	NUM
app01-11090	123	63	11	11	NUM
app01-11090	123	64	(	(	PUNCT
app01-11090	123	65	c	c	NOUN
app01-11090	123	66	)	)	PUNCT
app01-11090	123	67	.	.	PUNCT
app01-11090	124	1	figure	figure	VERB
app01-11090	124	2	3	3	NUM
app01-11090	124	3	.	.	PUNCT
app01-11090	124	4	optimised	optimise	VERB
app01-11090	124	5	pucs	pucs	NOUN
app01-11090	124	6	of	of	ADP
app01-11090	124	7	unimodal	unimodal	ADJ
app01-11090	124	8	metamaterials	metamaterial	NOUN
app01-11090	124	9	with	with	ADP
app01-11090	124	10	minimised	minimised	ADJ
app01-11090	124	11	shear	shear	NOUN
app01-11090	124	12	modulus	modulus	NOUN
app01-11090	124	13	in	in	ADP
app01-11090	124	14	yz	yz	PROPN
app01-11090	124	15	(	(	PUNCT
app01-11090	124	16	a	a	PROPN
app01-11090	124	17	)	)	PUNCT
app01-11090	124	18	,	,	PUNCT
app01-11090	124	19	xz	xz	PROPN
app01-11090	124	20	(	(	PUNCT
app01-11090	124	21	b	b	NOUN
app01-11090	124	22	)	)	PUNCT
app01-11090	124	23	and	and	CCONJ
app01-11090	124	24	xy	xy	INTJ
app01-11090	124	25	(	(	PUNCT
app01-11090	124	26	c	c	NOUN
app01-11090	124	27	)	)	PUNCT
app01-11090	124	28	directions	direction	NOUN
app01-11090	124	29	.	.	PUNCT
app01-11090	125	1	the	the	DET
app01-11090	125	2	value	value	NOUN
app01-11090	125	3	of	of	ADP
app01-11090	125	4	the	the	DET
app01-11090	125	5	associated	associated	ADJ
app01-11090	125	6	objective	objective	ADJ
app01-11090	125	7	function	function	NOUN
app01-11090	125	8	oi	oi	ADV
app01-11090	125	9	was	be	AUX
app01-11090	125	10	4.79	4.79	NUM
app01-11090	125	11	×	×	NOUN
app01-11090	125	12	103	103	NUM
app01-11090	125	13	.	.	PUNCT
app01-11090	126	1	the	the	DET
app01-11090	126	2	best	good	ADJ
app01-11090	126	3	result	result	NOUN
app01-11090	126	4	obtained	obtain	VERB
app01-11090	126	5	for	for	ADP
app01-11090	126	6	the	the	DET
app01-11090	126	7	larger	large	ADJ
app01-11090	126	8	ground	ground	NOUN
app01-11090	126	9	structure	structure	NOUN
app01-11090	126	10	converged	converge	VERB
app01-11090	126	11	to	to	ADP
app01-11090	126	12	a	a	DET
app01-11090	126	13	geometry	geometry	NOUN
app01-11090	126	14	that	that	PRON
app01-11090	126	15	is	be	AUX
app01-11090	126	16	a	a	DET
app01-11090	126	17	periodic	periodic	ADJ
app01-11090	126	18	extension	extension	NOUN
app01-11090	126	19	of	of	ADP
app01-11090	126	20	the	the	DET
app01-11090	126	21	best	good	ADJ
app01-11090	126	22	result	result	NOUN
app01-11090	126	23	obtained	obtain	VERB
app01-11090	126	24	for	for	ADP
app01-11090	126	25	the	the	DET
app01-11090	126	26	smaller	small	ADJ
app01-11090	126	27	ground	ground	NOUN
app01-11090	126	28	structure	structure	NOUN
app01-11090	126	29	,	,	PUNCT
app01-11090	126	30	i.e.	i.e.	X
app01-11090	126	31	the	the	DET
app01-11090	126	32	larger	large	ADJ
app01-11090	126	33	ground	ground	NOUN
app01-11090	126	34	structure	structure	NOUN
app01-11090	126	35	comprises	comprise	VERB
app01-11090	126	36	eight	eight	NUM
app01-11090	126	37	pucs	pucs	NOUN
app01-11090	126	38	.	.	PUNCT
app01-11090	127	1	furthermore	furthermore	ADV
app01-11090	127	2	,	,	PUNCT
app01-11090	127	3	we	we	PRON
app01-11090	127	4	subsequently	subsequently	ADV
app01-11090	127	5	tested	test	VERB
app01-11090	127	6	the	the	DET
app01-11090	127	7	optimisation	optimisation	NOUN
app01-11090	127	8	of	of	ADP
app01-11090	127	9	unimodal	unimodal	ADJ
app01-11090	127	10	metamaterial	metamaterial	NOUN
app01-11090	127	11	for	for	ADP
app01-11090	127	12	vanishing	vanish	VERB
app01-11090	127	13	shear	shear	NOUN
app01-11090	127	14	modules	module	NOUN
app01-11090	127	15	in	in	ADP
app01-11090	127	16	the	the	DET
app01-11090	127	17	xz	xz	PROPN
app01-11090	127	18	(	(	PUNCT
app01-11090	127	19	p	p	NOUN
app01-11090	127	20	=	=	X
app01-11090	127	21	[	[	PUNCT
app01-11090	127	22	0	0	NUM
app01-11090	127	23	0	0	NUM
app01-11090	127	24	0	0	NUM
app01-11090	127	25	0	0	NUM
app01-11090	127	26	1	1	NUM
app01-11090	127	27	0	0	NUM
app01-11090	127	28	]	]	SYM
app01-11090	127	29	t	t	X
app01-11090	127	30	)	)	PUNCT
app01-11090	127	31	and	and	CCONJ
app01-11090	127	32	xy	xy	INTJ
app01-11090	127	33	(	(	PUNCT
app01-11090	127	34	p	p	NOUN
app01-11090	127	35	=	=	X
app01-11090	127	36	[	[	PUNCT
app01-11090	127	37	0	0	NUM
app01-11090	127	38	0	0	NUM
app01-11090	127	39	0	0	NUM
app01-11090	127	40	0	0	NUM
app01-11090	127	41	0	0	NUM
app01-11090	127	42	1	1	NUM
app01-11090	127	43	]	]	SYM
app01-11090	127	44	t	t	NOUN
app01-11090	127	45	)	)	PUNCT
app01-11090	127	46	planes	plane	NOUN
app01-11090	127	47	.	.	PUNCT
app01-11090	128	1	the	the	DET
app01-11090	128	2	optimised	optimise	VERB
app01-11090	128	3	structures	structure	NOUN
app01-11090	128	4	for	for	ADP
app01-11090	128	5	these	these	DET
app01-11090	128	6	scenarios	scenario	NOUN
app01-11090	128	7	are	be	AUX
app01-11090	128	8	rotated	rotate	VERB
app01-11090	128	9	versions	version	NOUN
app01-11090	128	10	of	of	ADP
app01-11090	128	11	the	the	DET
app01-11090	128	12	metamaterial	metamaterial	NOUN
app01-11090	128	13	with	with	ADP
app01-11090	128	14	a	a	DET
app01-11090	128	15	minimised	minimised	ADJ
app01-11090	128	16	shear	shear	NOUN
app01-11090	128	17	modulus	modulus	NOUN
app01-11090	128	18	in	in	ADP
app01-11090	128	19	the	the	DET
app01-11090	128	20	yz	yz	PROPN
app01-11090	128	21	direction	direction	NOUN
app01-11090	128	22	,	,	PUNCT
app01-11090	128	23	as	as	SCONJ
app01-11090	128	24	shown	show	VERB
app01-11090	128	25	in	in	ADP
app01-11090	128	26	figure	figure	NOUN
app01-11090	128	27	3	3	NUM
app01-11090	128	28	.	.	PUNCT
app01-11090	129	1	the	the	DET
app01-11090	129	2	corresponding	corresponding	ADJ
app01-11090	129	3	homogenised	homogenise	VERB
app01-11090	129	4	matrices	matrix	NOUN
app01-11090	129	5	are	be	AUX
app01-11090	129	6	–	–	PUNCT
app01-11090	129	7	up	up	ADP
app01-11090	129	8	to	to	ADP
app01-11090	129	9	a	a	DET
app01-11090	129	10	small	small	ADJ
app01-11090	129	11	numerical	numerical	ADJ
app01-11090	129	12	difference	difference	NOUN
app01-11090	129	13	–	–	PUNCT
app01-11090	129	14	only	only	ADV
app01-11090	129	15	permutations	permutation	NOUN
app01-11090	129	16	of	of	ADP
app01-11090	129	17	(	(	PUNCT
app01-11090	129	18	26	26	NUM
app01-11090	129	19	)	)	PUNCT
app01-11090	129	20	.	.	PUNCT
app01-11090	130	1	these	these	DET
app01-11090	130	2	observations	observation	NOUN
app01-11090	130	3	indicate	indicate	VERB
app01-11090	130	4	a	a	DET
app01-11090	130	5	strong	strong	ADJ
app01-11090	130	6	local	local	ADJ
app01-11090	130	7	optimum	optimum	NOUN
app01-11090	130	8	for	for	ADP
app01-11090	130	9	such	such	DET
app01-11090	130	10	a	a	DET
app01-11090	130	11	design	design	NOUN
app01-11090	130	12	,	,	PUNCT
app01-11090	130	13	corroborated	corroborate	VERB
app01-11090	130	14	further	far	ADV
app01-11090	130	15	by	by	ADP
app01-11090	130	16	the	the	DET
app01-11090	130	17	fact	fact	NOUN
app01-11090	130	18	that	that	SCONJ
app01-11090	130	19	the	the	DET
app01-11090	130	20	same	same	ADJ
app01-11090	130	21	design	design	NOUN
app01-11090	130	22	was	be	AUX
app01-11090	130	23	achieved	achieve	VERB
app01-11090	130	24	for	for	ADP
app01-11090	130	25	the	the	DET
app01-11090	130	26	majority	majority	NOUN
app01-11090	130	27	of	of	ADP
app01-11090	130	28	independent	independent	ADJ
app01-11090	130	29	runs	run	NOUN
app01-11090	130	30	with	with	ADP
app01-11090	130	31	random	random	ADJ
app01-11090	130	32	initial	initial	ADJ
app01-11090	130	33	distribution	distribution	NOUN
app01-11090	130	34	of	of	ADP
app01-11090	130	35	truss	truss	NOUN
app01-11090	130	36	cross	cross	ADJ
app01-11090	130	37	-	-	ADJ
app01-11090	130	38	sectional	sectional	ADJ
app01-11090	130	39	areas	area	NOUN
app01-11090	130	40	.	.	PUNCT
app01-11090	131	1	3.2	3.2	NUM
app01-11090	131	2	.	.	PUNCT
app01-11090	131	3	pentamodal	pentamodal	ADJ
app01-11090	131	4	metamaterial	metamaterial	NOUN
app01-11090	131	5	as	as	ADP
app01-11090	131	6	the	the	DET
app01-11090	131	7	second	second	ADJ
app01-11090	131	8	example	example	NOUN
app01-11090	131	9	,	,	PUNCT
app01-11090	131	10	we	we	PRON
app01-11090	131	11	optimised	optimise	VERB
app01-11090	131	12	the	the	DET
app01-11090	131	13	same	same	ADJ
app01-11090	131	14	ground	ground	NOUN
app01-11090	131	15	structures	structure	NOUN
app01-11090	131	16	for	for	ADP
app01-11090	131	17	a	a	DET
app01-11090	131	18	meta	meta	ADJ
app01-11090	131	19	-	-	PUNCT
app01-11090	131	20	fluid	fluid	NOUN
app01-11090	131	21	behaviour	behaviour	NOUN
app01-11090	131	22	,	,	PUNCT
app01-11090	131	23	using	use	VERB
app01-11090	131	24	the	the	DET
app01-11090	131	25	objective	objective	ADJ
app01-11090	131	26	definition	definition	NOUN
app01-11090	131	27	(	(	PUNCT
app01-11090	131	28	13	13	NUM
app01-11090	131	29	)	)	PUNCT
app01-11090	131	30	with	with	ADP
app01-11090	131	31	p	p	NOUN
app01-11090	132	1	=	=	X
app01-11090	132	2	[	[	PUNCT
app01-11090	132	3	1√	1√	NUM
app01-11090	132	4	3	3	NUM
app01-11090	132	5	1√	1√	NUM
app01-11090	132	6	3	3	NUM
app01-11090	132	7	1√	1√	PROPN
app01-11090	132	8	3	3	NUM
app01-11090	132	9	0	0	NUM
app01-11090	132	10	0	0	NUM
app01-11090	132	11	0	0	NUM
app01-11090	132	12	]	]	X
app01-11090	132	13	t	t	NOUN
app01-11090	132	14	.	.	PUNCT
app01-11090	133	1	this	this	DET
app01-11090	133	2	objective	objective	NOUN
app01-11090	133	3	proved	prove	VERB
app01-11090	133	4	to	to	PART
app01-11090	133	5	be	be	AUX
app01-11090	133	6	more	more	ADV
app01-11090	133	7	challenging	challenging	ADJ
app01-11090	133	8	than	than	ADP
app01-11090	133	9	its	its	PRON
app01-11090	133	10	unimodal	unimodal	ADJ
app01-11090	133	11	counterpart	counterpart	NOUN
app01-11090	133	12	,	,	PUNCT
app01-11090	133	13	as	as	SCONJ
app01-11090	133	14	there	there	PRON
app01-11090	133	15	was	be	VERB
app01-11090	133	16	no	no	DET
app01-11090	133	17	strong	strong	ADJ
app01-11090	133	18	local	local	ADJ
app01-11090	133	19	optimum	optimum	NOUN
app01-11090	133	20	.	.	PUNCT
app01-11090	134	1	different	different	ADJ
app01-11090	134	2	optimisation	optimisation	NOUN
app01-11090	134	3	runs	run	VERB
app01-11090	134	4	with	with	ADP
app01-11090	134	5	different	different	ADJ
app01-11090	134	6	initial	initial	ADJ
app01-11090	134	7	states	state	NOUN
app01-11090	134	8	yielded	yield	VERB
app01-11090	134	9	distinct	distinct	ADJ
app01-11090	134	10	results	result	NOUN
app01-11090	134	11	with	with	ADP
app01-11090	134	12	suboptimal	suboptimal	ADJ
app01-11090	134	13	performance	performance	NOUN
app01-11090	134	14	compared	compare	VERB
app01-11090	134	15	to	to	ADP
app01-11090	134	16	the	the	DET
app01-11090	134	17	existing	exist	VERB
app01-11090	134	18	pentamodal	pentamodal	NOUN
app01-11090	134	19	design	design	NOUN
app01-11090	134	20	of	of	ADP
app01-11090	134	21	milton	milton	PROPN
app01-11090	134	22	and	and	CCONJ
app01-11090	134	23	cherkaev	cherkaev	PROPN
app01-11090	135	1	[	[	X
app01-11090	135	2	3	3	NUM
app01-11090	135	3	]	]	PUNCT
app01-11090	135	4	,	,	PUNCT
app01-11090	135	5	which	which	PRON
app01-11090	135	6	was	be	AUX
app01-11090	135	7	attainable	attainable	ADJ
app01-11090	135	8	with	with	ADP
app01-11090	135	9	the	the	DET
app01-11090	135	10	ground	ground	NOUN
app01-11090	135	11	structures	structure	NOUN
app01-11090	135	12	we	we	PRON
app01-11090	135	13	considered	consider	VERB
app01-11090	135	14	.	.	PUNCT
app01-11090	136	1	a	a	DET
app01-11090	136	2	common	common	ADJ
app01-11090	136	3	remedy	remedy	NOUN
app01-11090	136	4	to	to	PART
app01-11090	136	5	suppress	suppress	VERB
app01-11090	136	6	the	the	DET
app01-11090	136	7	sensitivity	sensitivity	NOUN
app01-11090	136	8	to	to	ADP
app01-11090	136	9	local	local	ADJ
app01-11090	136	10	minima	minima	NOUN
app01-11090	136	11	widely	widely	ADV
app01-11090	136	12	used	use	VERB
app01-11090	136	13	in	in	ADP
app01-11090	136	14	the	the	DET
app01-11090	136	15	community	community	NOUN
app01-11090	136	16	of	of	ADP
app01-11090	136	17	structural	structural	ADJ
app01-11090	136	18	optimisation	optimisation	NOUN
app01-11090	136	19	is	be	AUX
app01-11090	136	20	to	to	PART
app01-11090	136	21	use	use	VERB
app01-11090	136	22	a	a	DET
app01-11090	136	23	separable	separable	ADJ
app01-11090	136	24	local	local	ADJ
app01-11090	136	25	approximation	approximation	NOUN
app01-11090	136	26	such	such	ADJ
app01-11090	136	27	as	as	ADP
app01-11090	136	28	the	the	DET
app01-11090	136	29	method	method	NOUN
app01-11090	136	30	of	of	ADP
app01-11090	136	31	moving	move	VERB
app01-11090	136	32	asymptotes	asymptote	NOUN
app01-11090	136	33	[	[	X
app01-11090	136	34	30	30	NUM
app01-11090	136	35	]	]	PUNCT
app01-11090	136	36	.	.	PUNCT
app01-11090	137	1	here	here	ADV
app01-11090	137	2	,	,	PUNCT
app01-11090	137	3	we	we	PRON
app01-11090	137	4	adopt	adopt	VERB
app01-11090	137	5	a	a	DET
app01-11090	137	6	different	different	ADJ
app01-11090	137	7	strategy	strategy	NOUN
app01-11090	137	8	that	that	PRON
app01-11090	137	9	builds	build	VERB
app01-11090	137	10	on	on	ADP
app01-11090	137	11	sequential	sequential	ADJ
app01-11090	137	12	1d	1d	NUM
app01-11090	137	13	minimisation	minimisation	NOUN
app01-11090	137	14	problems	problem	NOUN
app01-11090	137	15	along	along	ADP
app01-11090	137	16	individual	individual	ADJ
app01-11090	137	17	design	design	NOUN
app01-11090	137	18	variables	variable	NOUN
app01-11090	137	19	.	.	PUNCT
app01-11090	138	1	this	this	DET
app01-11090	138	2	approach	approach	NOUN
app01-11090	138	3	fits	fit	VERB
app01-11090	138	4	in	in	ADP
app01-11090	138	5	the	the	DET
app01-11090	138	6	provided	provide	VERB
app01-11090	138	7	algorithm	algorithm	NOUN
app01-11090	138	8	1	1	NUM
app01-11090	138	9	by	by	ADP
app01-11090	138	10	introducing	introduce	VERB
app01-11090	138	11	a	a	DET
app01-11090	138	12	gradient	gradient	ADJ
app01-11090	138	13	modification	modification	NOUN
app01-11090	138	14	.	.	PUNCT
app01-11090	139	1	in	in	ADP
app01-11090	139	2	each	each	DET
app01-11090	139	3	iteration	iteration	NOUN
app01-11090	139	4	,	,	PUNCT
app01-11090	139	5	we	we	PRON
app01-11090	139	6	randomly	randomly	ADV
app01-11090	139	7	select	select	VERB
app01-11090	139	8	a	a	DET
app01-11090	139	9	single	single	ADJ
app01-11090	139	10	design	design	NOUN
app01-11090	139	11	variable	variable	NOUN
app01-11090	139	12	and	and	CCONJ
app01-11090	139	13	compute	compute	VERB
app01-11090	139	14	the	the	DET
app01-11090	139	15	modified	modify	VERB
app01-11090	139	16	gradient	gradient	NOUN
app01-11090	139	17	specifically	specifically	ADV
app01-11090	139	18	for	for	ADP
app01-11090	139	19	that	that	DET
app01-11090	139	20	variable	variable	NOUN
app01-11090	139	21	.	.	PUNCT
app01-11090	140	1	if	if	SCONJ
app01-11090	140	2	the	the	DET
app01-11090	140	3	modified	modify	VERB
app01-11090	140	4	gradient	gradient	NOUN
app01-11090	140	5	is	be	AUX
app01-11090	140	6	non	non	ADJ
app01-11090	140	7	-	-	ADJ
app01-11090	140	8	zero	zero	NUM
app01-11090	140	9	,	,	PUNCT
app01-11090	140	10	we	we	PRON
app01-11090	140	11	perform	perform	VERB
app01-11090	140	12	a	a	DET
app01-11090	140	13	1d	1d	NUM
app01-11090	140	14	line	line	NOUN
app01-11090	140	15	search	search	NOUN
app01-11090	140	16	while	while	SCONJ
app01-11090	140	17	maintaining	maintain	VERB
app01-11090	140	18	the	the	DET
app01-11090	140	19	values	value	NOUN
app01-11090	140	20	of	of	ADP
app01-11090	140	21	the	the	DET
app01-11090	140	22	other	other	ADJ
app01-11090	140	23	design	design	NOUN
app01-11090	140	24	variables	variable	NOUN
app01-11090	140	25	constant	constant	ADJ
app01-11090	140	26	.	.	PUNCT
app01-11090	141	1	if	if	SCONJ
app01-11090	141	2	the	the	DET
app01-11090	141	3	modified	modify	VERB
app01-11090	141	4	gradient	gradient	NOUN
app01-11090	141	5	equals	equal	VERB
app01-11090	141	6	zero	zero	NUM
app01-11090	141	7	,	,	PUNCT
app01-11090	141	8	we	we	PRON
app01-11090	141	9	proceed	proceed	VERB
app01-11090	141	10	to	to	ADP
app01-11090	141	11	the	the	DET
app01-11090	141	12	subsequent	subsequent	ADJ
app01-11090	141	13	iteration	iteration	NOUN
app01-11090	141	14	,	,	PUNCT
app01-11090	141	15	iterating	iterate	VERB
app01-11090	141	16	through	through	ADP
app01-11090	141	17	the	the	DET
app01-11090	141	18	randomly	randomly	ADV
app01-11090	141	19	selected	select	VERB
app01-11090	141	20	design	design	NOUN
app01-11090	141	21	variables	variable	NOUN
app01-11090	141	22	until	until	SCONJ
app01-11090	141	23	the	the	DET
app01-11090	141	24	optimised	optimise	VERB
app01-11090	141	25	structure	structure	NOUN
app01-11090	141	26	is	be	AUX
app01-11090	141	27	achieved	achieve	VERB
app01-11090	141	28	.	.	PUNCT
app01-11090	142	1	clearly	clearly	ADV
app01-11090	142	2	,	,	PUNCT
app01-11090	142	3	such	such	DET
app01-11090	142	4	a	a	DET
app01-11090	142	5	modification	modification	NOUN
app01-11090	142	6	leads	lead	VERB
app01-11090	142	7	to	to	ADP
app01-11090	142	8	an	an	DET
app01-11090	142	9	increase	increase	NOUN
app01-11090	142	10	in	in	ADP
app01-11090	142	11	the	the	DET
app01-11090	142	12	number	number	NOUN
app01-11090	142	13	of	of	ADP
app01-11090	142	14	iterations	iteration	NOUN
app01-11090	142	15	.	.	PUNCT
app01-11090	143	1	starting	start	VERB
app01-11090	143	2	with	with	ADP
app01-11090	143	3	all	all	DET
app01-11090	143	4	crosssectional	crosssectional	ADJ
app01-11090	143	5	areas	area	NOUN
app01-11090	143	6	at	at	ADP
app01-11090	143	7	the	the	DET
app01-11090	143	8	lower	lower	ADV
app01-11090	143	9	bound	bind	VERB
app01-11090	143	10	produced	produce	VERB
app01-11090	143	11	a	a	DET
app01-11090	143	12	design	design	NOUN
app01-11090	143	13	that	that	PRON
app01-11090	143	14	corresponded	correspond	VERB
app01-11090	143	15	to	to	ADP
app01-11090	143	16	the	the	DET
app01-11090	143	17	known	know	VERB
app01-11090	143	18	pentamodal	pentamodal	NOUN
app01-11090	143	19	design	design	NOUN
app01-11090	143	20	by	by	ADP
app01-11090	143	21	milton	milton	PROPN
app01-11090	143	22	and	and	CCONJ
app01-11090	143	23	cherkaev	cherkaev	PROPN
app01-11090	143	24	[	[	X
app01-11090	143	25	3	3	NUM
app01-11090	143	26	]	]	PUNCT
app01-11090	143	27	.	.	PUNCT
app01-11090	144	1	admittedly	admittedly	ADV
app01-11090	144	2	,	,	PUNCT
app01-11090	144	3	the	the	DET
app01-11090	144	4	results	result	NOUN
app01-11090	144	5	remain	remain	VERB
app01-11090	144	6	highly	highly	ADV
app01-11090	144	7	sensitive	sensitive	ADJ
app01-11090	144	8	to	to	ADP
app01-11090	144	9	the	the	DET
app01-11090	144	10	initial	initial	ADJ
app01-11090	144	11	conditions	condition	NOUN
app01-11090	144	12	.	.	PUNCT
app01-11090	145	1	even	even	ADV
app01-11090	145	2	with	with	ADP
app01-11090	145	3	random	random	ADJ
app01-11090	145	4	initialisation	initialisation	NOUN
app01-11090	145	5	of	of	ADP
app01-11090	145	6	cross	cross	ADJ
app01-11090	145	7	-	-	ADJ
app01-11090	145	8	sectional	sectional	ADJ
app01-11090	145	9	areas	area	NOUN
app01-11090	145	10	from	from	ADP
app01-11090	145	11	a	a	DET
app01-11090	145	12	uniform	uniform	ADJ
app01-11090	145	13	distribution	distribution	NOUN
app01-11090	145	14	[	[	X
app01-11090	145	15	a	a	X
app01-11090	145	16	;	;	PUNCT
app01-11090	145	17	a	a	DET
app01-11090	145	18	10	10	NUM
app01-11090	145	19	]	]	PUNCT
app01-11090	145	20	,	,	PUNCT
app01-11090	145	21	the	the	DET
app01-11090	145	22	majority	majority	NOUN
app01-11090	145	23	of	of	ADP
app01-11090	145	24	optimisation	optimisation	NOUN
app01-11090	145	25	cases	case	NOUN
app01-11090	145	26	ended	end	VERB
app01-11090	145	27	up	up	ADP
app01-11090	145	28	in	in	ADP
app01-11090	145	29	the	the	DET
app01-11090	145	30	known	know	VERB
app01-11090	145	31	pentamodal	pentamodal	NOUN
app01-11090	145	32	design	design	NOUN
app01-11090	145	33	.	.	PUNCT
app01-11090	146	1	we	we	PRON
app01-11090	146	2	observed	observe	VERB
app01-11090	146	3	that	that	SCONJ
app01-11090	146	4	optimisation	optimisation	NOUN
app01-11090	146	5	with	with	ADP
app01-11090	146	6	smaller	small	ADJ
app01-11090	146	7	values	value	NOUN
app01-11090	146	8	of	of	ADP
app01-11090	146	9	initial	initial	ADJ
app01-11090	146	10	variables	variable	NOUN
app01-11090	146	11	tends	tend	VERB
app01-11090	146	12	to	to	PART
app01-11090	146	13	result	result	VERB
app01-11090	146	14	in	in	ADP
app01-11090	146	15	a	a	DET
app01-11090	146	16	higher	high	ADJ
app01-11090	146	17	objective	objective	ADJ
app01-11090	146	18	function	function	NOUN
app01-11090	146	19	value	value	NOUN
app01-11090	146	20	than	than	ADP
app01-11090	146	21	optimisation	optimisation	NOUN
app01-11090	146	22	using	use	VERB
app01-11090	146	23	larger	large	ADJ
app01-11090	146	24	ones	one	NOUN
app01-11090	146	25	.	.	PUNCT
app01-11090	147	1	the	the	DET
app01-11090	147	2	best	good	ADJ
app01-11090	147	3	obtained	obtain	VERB
app01-11090	147	4	pucs	pucs	NOUN
app01-11090	147	5	of	of	ADP
app01-11090	147	6	the	the	DET
app01-11090	147	7	pentamodal	pentamodal	ADJ
app01-11090	147	8	material	material	NOUN
app01-11090	147	9	are	be	AUX
app01-11090	147	10	shown	show	VERB
app01-11090	147	11	in	in	ADP
app01-11090	147	12	figure	figure	NOUN
app01-11090	147	13	4	4	NUM
app01-11090	147	14	.	.	PUNCT
app01-11090	148	1	similarly	similarly	ADV
app01-11090	148	2	to	to	ADP
app01-11090	148	3	the	the	DET
app01-11090	148	4	unimodal	unimodal	ADJ
app01-11090	148	5	metamaterial	metamaterial	NOUN
app01-11090	148	6	,	,	PUNCT
app01-11090	148	7	the	the	DET
app01-11090	148	8	larger	large	ADJ
app01-11090	148	9	puc	puc	NOUN
app01-11090	148	10	converges	converge	NOUN
app01-11090	148	11	towards	towards	ADP
app01-11090	148	12	a	a	DET
app01-11090	148	13	geometry	geometry	NOUN
app01-11090	148	14	composed	compose	VERB
app01-11090	148	15	of	of	ADP
app01-11090	148	16	eight	eight	NUM
app01-11090	148	17	smaller	small	ADJ
app01-11090	148	18	identical	identical	ADJ
app01-11090	148	19	pucs	pucs	NOUN
app01-11090	148	20	.	.	PUNCT
app01-11090	149	1	for	for	ADP
app01-11090	149	2	completeness	completeness	NOUN
app01-11090	149	3	,	,	PUNCT
app01-11090	149	4	we	we	PRON
app01-11090	149	5	list	list	VERB
app01-11090	149	6	the	the	DET
app01-11090	149	7	homogenised	homogenise	VERB
app01-11090	149	8	matrix	matrix	NOUN
app01-11090	149	9	dhom	dhom	X
app01-11090	149	10	dhom	dhom	X
app01-11090	149	11	=	=	SYM
app01-11090	149	12			NOUN
app01-11090	149	13	7.56	7.56	NUM
app01-11090	149	14	7.56	7.56	NUM
app01-11090	149	15	7.56	7.56	NUM
app01-11090	149	16	0.00	0.00	NUM
app01-11090	149	17	0.00	0.00	NUM
app01-11090	149	18	0.00	0.00	NUM
app01-11090	149	19	7.56	7.56	NUM
app01-11090	149	20	7.56	7.56	NUM
app01-11090	149	21	7.56	7.56	NUM
app01-11090	149	22	0.00	0.00	NUM
app01-11090	149	23	0.00	0.00	NUM
app01-11090	149	24	0.00	0.00	NUM
app01-11090	149	25	7.56	7.56	NUM
app01-11090	149	26	7.56	7.56	NUM
app01-11090	149	27	7.56	7.56	NUM
app01-11090	149	28	0.00	0.00	NUM
app01-11090	149	29	0.00	0.00	NUM
app01-11090	149	30	0.00	0.00	NUM
app01-11090	149	31	0.00	0.00	NUM
app01-11090	149	32	0.00	0.00	NUM
app01-11090	149	33	0.00	0.00	NUM
app01-11090	149	34	0.00	0.00	NUM
app01-11090	149	35	0.00	0.00	NUM
app01-11090	149	36	0.00	0.00	NUM
app01-11090	149	37	0.00	0.00	NUM
app01-11090	149	38	0.00	0.00	NUM
app01-11090	149	39	0.00	0.00	NUM
app01-11090	149	40	0.00	0.00	NUM
app01-11090	149	41	0.00	0.00	NUM
app01-11090	149	42	0.00	0.00	NUM
app01-11090	149	43	0.00	0.00	NUM
app01-11090	149	44	0.00	0.00	NUM
app01-11090	149	45	0.00	0.00	NUM
app01-11090	149	46	0.00	0.00	NUM
app01-11090	149	47	0.00	0.00	NUM
app01-11090	149	48	0.00	0.00	NUM
app01-11090	149	49			NUM
app01-11090	149	50	×	×	PROPN
app01-11090	149	51	10−4	10−4	NUM
app01-11090	149	52	,	,	PUNCT
app01-11090	149	53	(	(	PUNCT
app01-11090	149	54	27	27	NUM
app01-11090	149	55	)	)	PUNCT
app01-11090	149	56	with	with	ADP
app01-11090	149	57	objective	objective	ADJ
app01-11090	149	58	function	function	NOUN
app01-11090	149	59	achieving	achieve	VERB
app01-11090	149	60	a	a	DET
app01-11090	149	61	value	value	NOUN
app01-11090	149	62	of	of	ADP
app01-11090	149	63	4.27	4.27	NUM
app01-11090	149	64	×	×	NOUN
app01-11090	149	65	103	103	NUM
app01-11090	149	66	.	.	PUNCT
app01-11090	150	1	note	note	VERB
app01-11090	150	2	that	that	SCONJ
app01-11090	150	3	the	the	DET
app01-11090	150	4	result	result	NOUN
app01-11090	150	5	for	for	ADP
app01-11090	150	6	the	the	DET
app01-11090	150	7	2	2	NUM
app01-11090	150	8	×	×	NOUN
app01-11090	150	9	2	2	NUM
app01-11090	150	10	×	×	NOUN
app01-11090	150	11	2	2	NUM
app01-11090	150	12	ground	ground	NOUN
app01-11090	150	13	structure	structure	NOUN
app01-11090	150	14	features	feature	VERB
app01-11090	150	15	two	two	NUM
app01-11090	150	16	interconnected	interconnected	ADJ
app01-11090	150	17	networks	network	NOUN
app01-11090	150	18	and	and	CCONJ
app01-11090	150	19	thus	thus	ADV
app01-11090	150	20	its	its	PRON
app01-11090	150	21	homogenised	homogenised	ADJ
app01-11090	150	22	response	response	NOUN
app01-11090	150	23	is	be	AUX
app01-11090	150	24	twice	twice	ADV
app01-11090	150	25	as	as	ADV
app01-11090	150	26	stiff	stiff	ADJ
app01-11090	150	27	compared	compare	VERB
app01-11090	150	28	to	to	ADP
app01-11090	150	29	the	the	DET
app01-11090	150	30	stiffness	stiffness	NOUN
app01-11090	150	31	of	of	ADP
app01-11090	150	32	the	the	DET
app01-11090	150	33	classical	classical	ADJ
app01-11090	150	34	metafluid	metafluid	NOUN
app01-11090	150	35	structure	structure	NOUN
app01-11090	150	36	shown	show	VERB
app01-11090	150	37	in	in	ADP
app01-11090	150	38	figure	figure	NOUN
app01-11090	150	39	5	5	NUM
app01-11090	150	40	.	.	NOUN
app01-11090	150	41	4	4	NUM
app01-11090	150	42	.	.	X
app01-11090	151	1	summary	summary	NOUN
app01-11090	151	2	this	this	DET
app01-11090	151	3	contribution	contribution	NOUN
app01-11090	151	4	dealt	deal	VERB
app01-11090	151	5	with	with	ADP
app01-11090	151	6	optimising	optimise	VERB
app01-11090	151	7	metamaterials	metamaterial	NOUN
app01-11090	151	8	for	for	ADP
app01-11090	151	9	desired	desire	VERB
app01-11090	151	10	unimodal	unimodal	ADJ
app01-11090	151	11	and	and	CCONJ
app01-11090	151	12	pentamodal	pentamodal	ADJ
app01-11090	151	13	behaviour	behaviour	NOUN
app01-11090	151	14	.	.	PUNCT
app01-11090	152	1	the	the	DET
app01-11090	152	2	material	material	PROPN
app01-11090	152	3	pucs	pucs	NOUN
app01-11090	152	4	were	be	AUX
app01-11090	152	5	modelled	model	VERB
app01-11090	152	6	as	as	ADP
app01-11090	152	7	discrete	discrete	ADJ
app01-11090	152	8	truss	truss	NOUN
app01-11090	152	9	systems	system	NOUN
app01-11090	152	10	,	,	PUNCT
app01-11090	152	11	whose	whose	DET
app01-11090	152	12	effective	effective	ADJ
app01-11090	152	13	metamaterial	metamaterial	ADJ
app01-11090	152	14	properties	property	NOUN
app01-11090	152	15	were	be	AUX
app01-11090	152	16	38	38	NUM
app01-11090	152	17	vol	vol	NOUN
app01-11090	152	18	.	.	PUNCT
app01-11090	153	1	54/2025	54/2025	NUM
app01-11090	153	2	optimising	optimise	VERB
app01-11090	153	3	truss	truss	NOUN
app01-11090	153	4	-	-	PUNCT
app01-11090	153	5	based	base	VERB
app01-11090	153	6	metamaterials	metamaterial	NOUN
app01-11090	153	7	for	for	ADP
app01-11090	153	8	unimodal	unimodal	ADJ
app01-11090	153	9	.	.	PUNCT
app01-11090	153	10	.	.	PUNCT
app01-11090	154	1	.	.	PUNCT
app01-11090	155	1	0	0	NUM
app01-11090	155	2	1	1	NUM
app01-11090	155	3	y	y	PROPN
app01-11090	155	4	0.5	0.5	NUM
app01-11090	155	5	0.8	0.8	NUM
app01-11090	155	6	0.6	0.6	NUM
app01-11090	155	7	z	z	NOUN
app01-11090	155	8	0.4	0.4	NUM
app01-11090	155	9	0	0	NUM
app01-11090	155	10	0.2	0.2	NUM
app01-11090	155	11	0	0	NUM
app01-11090	155	12	x	x	SYM
app01-11090	155	13	0.5	0.5	NUM
app01-11090	155	14	11	11	NUM
app01-11090	155	15	(	(	PUNCT
app01-11090	155	16	a	a	NOUN
app01-11090	155	17	)	)	PUNCT
app01-11090	155	18	.	.	PUNCT
app01-11090	155	19	0	0	NUM
app01-11090	155	20	2	2	NUM
app01-11090	155	21	y	y	PROPN
app01-11090	155	22	1	1	NUM
app01-11090	155	23	1.5	1.5	NUM
app01-11090	155	24	1	1	NUM
app01-11090	155	25	z	z	NOUN
app01-11090	155	26	0	0	NUM
app01-11090	155	27	0.5	0.5	NUM
app01-11090	155	28	0	0	NUM
app01-11090	155	29	0.5	0.5	NUM
app01-11090	155	30	x	x	SYM
app01-11090	155	31	1	1	NUM
app01-11090	155	32	1.5	1.5	NUM
app01-11090	155	33	22	22	NUM
app01-11090	155	34	(	(	PUNCT
app01-11090	155	35	b	b	NOUN
app01-11090	155	36	)	)	PUNCT
app01-11090	155	37	.	.	PUNCT
app01-11090	156	1	figure	figure	NOUN
app01-11090	156	2	4	4	NUM
app01-11090	157	1	.	.	PUNCT
app01-11090	157	2	optimised	optimise	VERB
app01-11090	157	3	smaller	small	ADJ
app01-11090	157	4	(	(	PUNCT
app01-11090	157	5	a	a	NOUN
app01-11090	157	6	)	)	PUNCT
app01-11090	157	7	and	and	CCONJ
app01-11090	157	8	larger	large	ADJ
app01-11090	157	9	(	(	PUNCT
app01-11090	157	10	b	b	NOUN
app01-11090	157	11	)	)	PUNCT
app01-11090	157	12	pucs	pucs	NOUN
app01-11090	157	13	of	of	ADP
app01-11090	157	14	a	a	DET
app01-11090	157	15	pentamodal	pentamodal	ADJ
app01-11090	157	16	metamaterial	metamaterial	NOUN
app01-11090	157	17	with	with	ADP
app01-11090	157	18	maximised	maximised	ADJ
app01-11090	157	19	bulk	bulk	ADJ
app01-11090	157	20	modulus	modulus	NOUN
app01-11090	157	21	.	.	PUNCT
app01-11090	158	1	the	the	DET
app01-11090	158	2	larger	large	ADJ
app01-11090	158	3	puc	puc	NOUN
app01-11090	158	4	of	of	ADP
app01-11090	158	5	the	the	DET
app01-11090	158	6	pentamodal	pentamodal	ADJ
app01-11090	158	7	metamaterial	metamaterial	NOUN
app01-11090	158	8	consists	consist	VERB
app01-11090	158	9	of	of	ADP
app01-11090	158	10	two	two	NUM
app01-11090	158	11	independent	independent	ADJ
app01-11090	158	12	structures	structure	NOUN
app01-11090	158	13	(	(	PUNCT
app01-11090	158	14	plotted	plot	VERB
app01-11090	158	15	in	in	ADP
app01-11090	158	16	black	black	ADJ
app01-11090	158	17	and	and	CCONJ
app01-11090	158	18	green	green	ADJ
app01-11090	158	19	)	)	PUNCT
app01-11090	158	20	.	.	PUNCT
app01-11090	159	1	figure	figure	NOUN
app01-11090	159	2	5	5	NUM
app01-11090	159	3	.	.	PUNCT
app01-11090	160	1	examples	example	NOUN
app01-11090	160	2	of	of	ADP
app01-11090	160	3	existing	exist	VERB
app01-11090	160	4	pentamodal	pentamodal	ADJ
app01-11090	160	5	materials	material	NOUN
app01-11090	160	6	:	:	PUNCT
app01-11090	160	7	(	(	PUNCT
app01-11090	160	8	left	leave	VERB
app01-11090	160	9	)	)	PUNCT
app01-11090	160	10	a	a	DET
app01-11090	160	11	microstructure	microstructure	NOUN
app01-11090	160	12	proposed	propose	VERB
app01-11090	160	13	by	by	ADP
app01-11090	160	14	milton	milton	PROPN
app01-11090	160	15	and	and	CCONJ
app01-11090	160	16	cherkaev	cherkaev	PROPN
app01-11090	160	17	[	[	X
app01-11090	160	18	3	3	NUM
app01-11090	160	19	]	]	PUNCT
app01-11090	160	20	,	,	PUNCT
app01-11090	160	21	and	and	CCONJ
app01-11090	160	22	(	(	PUNCT
app01-11090	160	23	right	right	INTJ
app01-11090	160	24	)	)	PUNCT
app01-11090	160	25	an	an	DET
app01-11090	160	26	alternative	alternative	ADJ
app01-11090	160	27	design	design	NOUN
app01-11090	160	28	by	by	ADP
app01-11090	160	29	guo	guo	PROPN
app01-11090	160	30	and	and	CCONJ
app01-11090	160	31	coworkers	coworker	NOUN
app01-11090	160	32	[	[	X
app01-11090	160	33	10	10	NUM
app01-11090	160	34	]	]	PUNCT
app01-11090	160	35	.	.	PUNCT
app01-11090	161	1	determined	determine	VERB
app01-11090	161	2	using	use	VERB
app01-11090	161	3	the	the	DET
app01-11090	161	4	first	first	ADJ
app01-11090	161	5	-	-	PUNCT
app01-11090	161	6	order	order	NOUN
app01-11090	161	7	numerical	numerical	ADJ
app01-11090	161	8	homogenisation	homogenisation	NOUN
app01-11090	161	9	,	,	PUNCT
app01-11090	161	10	providing	provide	VERB
app01-11090	161	11	us	we	PRON
app01-11090	161	12	with	with	ADP
app01-11090	161	13	a	a	DET
app01-11090	161	14	link	link	NOUN
app01-11090	161	15	between	between	ADP
app01-11090	161	16	their	their	PRON
app01-11090	161	17	microstructure	microstructure	ADJ
app01-11090	161	18	and	and	CCONJ
app01-11090	161	19	macroscopic	macroscopic	ADJ
app01-11090	161	20	behaviour	behaviour	NOUN
app01-11090	161	21	to	to	PART
app01-11090	161	22	be	be	AUX
app01-11090	161	23	optimised	optimise	VERB
app01-11090	161	24	.	.	PUNCT
app01-11090	162	1	we	we	PRON
app01-11090	162	2	formulated	formulate	VERB
app01-11090	162	3	the	the	DET
app01-11090	162	4	objective	objective	ADJ
app01-11090	162	5	function	function	NOUN
app01-11090	162	6	on	on	ADP
app01-11090	162	7	the	the	DET
app01-11090	162	8	basis	basis	NOUN
app01-11090	162	9	of	of	ADP
app01-11090	162	10	a	a	DET
app01-11090	162	11	projected	project	VERB
app01-11090	162	12	stiffness	stiffness	NOUN
app01-11090	162	13	and	and	CCONJ
app01-11090	162	14	sorted	sorted	ADJ
app01-11090	162	15	eigenvalues	eigenvalue	NOUN
app01-11090	162	16	of	of	ADP
app01-11090	162	17	the	the	DET
app01-11090	162	18	homogenised	homogenised	ADJ
app01-11090	162	19	stiffness	stiffness	ADJ
app01-11090	162	20	matrix	matrix	NOUN
app01-11090	162	21	.	.	PUNCT
app01-11090	163	1	the	the	DET
app01-11090	163	2	unimodal	unimodal	ADJ
app01-11090	163	3	metamaterials	metamaterial	NOUN
app01-11090	163	4	were	be	AUX
app01-11090	163	5	designed	design	VERB
app01-11090	163	6	to	to	PART
app01-11090	163	7	be	be	AUX
app01-11090	163	8	significantly	significantly	ADV
app01-11090	163	9	more	more	ADV
app01-11090	163	10	compliant	compliant	ADJ
app01-11090	163	11	in	in	ADP
app01-11090	163	12	a	a	DET
app01-11090	163	13	chosen	choose	VERB
app01-11090	163	14	shear	shear	NOUN
app01-11090	163	15	direction	direction	NOUN
app01-11090	163	16	compared	compare	VERB
app01-11090	163	17	to	to	ADP
app01-11090	163	18	other	other	ADJ
app01-11090	163	19	modes	mode	NOUN
app01-11090	163	20	of	of	ADP
app01-11090	163	21	deformation	deformation	NOUN
app01-11090	163	22	.	.	PUNCT
app01-11090	164	1	the	the	DET
app01-11090	164	2	pentamodal	pentamodal	ADJ
app01-11090	164	3	metamaterial	metamaterial	ADJ
app01-11090	164	4	targeted	target	VERB
app01-11090	164	5	maximal	maximal	ADJ
app01-11090	164	6	bulk	bulk	ADJ
app01-11090	164	7	modulus	modulus	NOUN
app01-11090	164	8	while	while	SCONJ
app01-11090	164	9	diminishing	diminish	VERB
app01-11090	164	10	the	the	DET
app01-11090	164	11	remaining	remain	VERB
app01-11090	164	12	eigenvalues	eigenvalue	NOUN
app01-11090	164	13	of	of	ADP
app01-11090	164	14	the	the	DET
app01-11090	164	15	homogenised	homogenised	ADJ
app01-11090	164	16	stiffness	stiffness	ADJ
app01-11090	164	17	matrix	matrix	NOUN
app01-11090	164	18	.	.	PUNCT
app01-11090	165	1	the	the	DET
app01-11090	165	2	optimisation	optimisation	NOUN
app01-11090	165	3	was	be	AUX
app01-11090	165	4	performed	perform	VERB
app01-11090	165	5	using	use	VERB
app01-11090	165	6	the	the	DET
app01-11090	165	7	steepest	steep	ADJ
app01-11090	165	8	ascent	ascent	NOUN
app01-11090	165	9	method	method	NOUN
app01-11090	165	10	,	,	PUNCT
app01-11090	165	11	supplemented	supplement	VERB
app01-11090	165	12	with	with	ADP
app01-11090	165	13	the	the	DET
app01-11090	165	14	line	line	NOUN
app01-11090	165	15	search	search	NOUN
app01-11090	165	16	algorithm	algorithm	NOUN
app01-11090	165	17	and	and	CCONJ
app01-11090	165	18	constrained	constrain	VERB
app01-11090	165	19	by	by	ADP
app01-11090	165	20	upper	upper	ADJ
app01-11090	165	21	and	and	CCONJ
app01-11090	165	22	lower	low	ADJ
app01-11090	165	23	bounds	bound	NOUN
app01-11090	165	24	for	for	ADP
app01-11090	165	25	individual	individual	ADJ
app01-11090	165	26	cross	cross	ADJ
app01-11090	165	27	-	-	ADJ
app01-11090	165	28	sectional	sectional	ADJ
app01-11090	165	29	areas	area	NOUN
app01-11090	165	30	.	.	PUNCT
app01-11090	166	1	to	to	PART
app01-11090	166	2	suppress	suppress	VERB
app01-11090	166	3	the	the	DET
app01-11090	166	4	algorithm	algorithm	NOUN
app01-11090	166	5	’s	’s	PART
app01-11090	166	6	attraction	attraction	NOUN
app01-11090	166	7	to	to	ADP
app01-11090	166	8	local	local	ADJ
app01-11090	166	9	minima	minima	NOUN
app01-11090	166	10	,	,	PUNCT
app01-11090	166	11	we	we	PRON
app01-11090	166	12	proposed	propose	VERB
app01-11090	166	13	a	a	DET
app01-11090	166	14	simple	simple	ADJ
app01-11090	166	15	modification	modification	NOUN
app01-11090	166	16	of	of	ADP
app01-11090	166	17	the	the	DET
app01-11090	166	18	steepest	steep	ADJ
app01-11090	166	19	ascent	ascent	NOUN
app01-11090	166	20	,	,	PUNCT
app01-11090	166	21	which	which	PRON
app01-11090	166	22	sequentially	sequentially	ADV
app01-11090	166	23	performs	perform	VERB
app01-11090	166	24	a	a	DET
app01-11090	166	25	series	series	NOUN
app01-11090	166	26	of	of	ADP
app01-11090	166	27	1d	1d	NUM
app01-11090	166	28	minimisations	minimisation	NOUN
app01-11090	166	29	along	along	ADP
app01-11090	166	30	individual	individual	ADJ
app01-11090	166	31	design	design	NOUN
app01-11090	166	32	variables	variable	NOUN
app01-11090	166	33	.	.	PUNCT
app01-11090	167	1	in	in	ADP
app01-11090	167	2	the	the	DET
app01-11090	167	3	case	case	NOUN
app01-11090	167	4	of	of	ADP
app01-11090	167	5	pentamodal	pentamodal	ADJ
app01-11090	167	6	material	material	NOUN
app01-11090	167	7	,	,	PUNCT
app01-11090	167	8	this	this	DET
app01-11090	167	9	modification	modification	NOUN
app01-11090	167	10	significantly	significantly	ADV
app01-11090	167	11	improved	improve	VERB
app01-11090	167	12	the	the	DET
app01-11090	167	13	optimisation	optimisation	NOUN
app01-11090	167	14	results	result	NOUN
app01-11090	167	15	by	by	ADP
app01-11090	167	16	reducing	reduce	VERB
app01-11090	167	17	the	the	DET
app01-11090	167	18	number	number	NOUN
app01-11090	167	19	of	of	ADP
app01-11090	167	20	independent	independent	ADJ
app01-11090	167	21	optimisation	optimisation	NOUN
app01-11090	167	22	runs	run	VERB
app01-11090	167	23	necessary	necessary	ADJ
app01-11090	167	24	to	to	PART
app01-11090	167	25	render	render	VERB
app01-11090	167	26	a	a	DET
app01-11090	167	27	performant	performant	ADJ
app01-11090	167	28	solution	solution	NOUN
app01-11090	167	29	.	.	PUNCT
app01-11090	168	1	acknowledgements	acknowledgement	NOUN
app01-11090	168	2	nš	nš	PROPN
app01-11090	168	3	and	and	CCONJ
app01-11090	168	4	mt	mt	PROPN
app01-11090	168	5	acknowledge	acknowledge	VERB
app01-11090	168	6	support	support	NOUN
app01-11090	168	7	by	by	ADP
app01-11090	168	8	the	the	DET
app01-11090	168	9	czech	czech	PROPN
app01-11090	168	10	science	science	PROPN
app01-11090	168	11	foundation	foundation	PROPN
app01-11090	168	12	,	,	PUNCT
app01-11090	168	13	project	project	NOUN
app01-11090	168	14	no	no	NOUN
app01-11090	168	15	.	.	PUNCT
app01-11090	169	1	ga22	ga22	PROPN
app01-11090	169	2	-	-	PUNCT
app01-11090	169	3	15524s	15524s	NUM
app01-11090	169	4	.	.	PUNCT
app01-11090	170	1	md	md	PROPN
app01-11090	170	2	’s	’s	PART
app01-11090	170	3	work	work	NOUN
app01-11090	170	4	was	be	AUX
app01-11090	170	5	supported	support	VERB
app01-11090	170	6	by	by	ADP
app01-11090	170	7	the	the	DET
app01-11090	170	8	grant	grant	PROPN
app01-11090	170	9	agency	agency	NOUN
app01-11090	170	10	of	of	ADP
app01-11090	170	11	the	the	DET
app01-11090	170	12	czech	czech	PROPN
app01-11090	170	13	technical	technical	PROPN
app01-11090	170	14	university	university	PROPN
app01-11090	170	15	in	in	ADP
app01-11090	170	16	prague	prague	PROPN
app01-11090	170	17	,	,	PUNCT
app01-11090	170	18	grant	grant	VERB
app01-11090	170	19	no	no	INTJ
app01-11090	170	20	.	.	PUNCT
app01-11090	171	1	sgs24/038	sgs24/038	PROPN
app01-11090	171	2	/	/	SYM
app01-11090	171	3	ohk1/1t/11	ohk1/1t/11	PROPN
app01-11090	171	4	,	,	PUNCT
app01-11090	171	5	and	and	CCONJ
app01-11090	171	6	co	co	VERB
app01-11090	171	7	-	-	VERB
app01-11090	171	8	funded	fund	VERB
app01-11090	171	9	by	by	ADP
app01-11090	171	10	the	the	DET
app01-11090	171	11	european	european	PROPN
app01-11090	171	12	union	union	PROPN
app01-11090	171	13	under	under	ADP
app01-11090	171	14	the	the	DET
app01-11090	171	15	project	project	NOUN
app01-11090	171	16	roboprox	roboprox	NOUN
app01-11090	171	17	–	–	PUNCT
app01-11090	171	18	robotics	robotic	NOUN
app01-11090	171	19	and	and	CCONJ
app01-11090	171	20	advanced	advanced	ADJ
app01-11090	171	21	industrial	industrial	ADJ
app01-11090	171	22	production	production	NOUN
app01-11090	171	23	(	(	PUNCT
app01-11090	171	24	reg	reg	NOUN
app01-11090	171	25	.	.	PUNCT
app01-11090	172	1	no	no	INTJ
app01-11090	172	2	.	.	PUNCT
app01-11090	172	3	cz.02.01.01/00/22_008/0004590	cz.02.01.01/00/22_008/0004590	NUM
app01-11090	172	4	)	)	PUNCT
app01-11090	172	5	.	.	PUNCT
app01-11090	173	1	references	reference	NOUN
app01-11090	173	2	[	[	X
app01-11090	173	3	1	1	NUM
app01-11090	173	4	]	]	PUNCT
app01-11090	173	5	e.	e.	PROPN
app01-11090	173	6	barchiesi	barchiesi	PROPN
app01-11090	173	7	,	,	PUNCT
app01-11090	173	8	m.	m.	NOUN
app01-11090	173	9	spagnuolo	spagnuolo	PROPN
app01-11090	173	10	,	,	PUNCT
app01-11090	173	11	l.	l.	PROPN
app01-11090	173	12	placidi	placidi	PROPN
app01-11090	173	13	.	.	PUNCT
app01-11090	174	1	mechanical	mechanical	ADJ
app01-11090	174	2	metamaterials	metamaterial	NOUN
app01-11090	174	3	:	:	PUNCT
app01-11090	174	4	a	a	DET
app01-11090	174	5	state	state	NOUN
app01-11090	174	6	of	of	ADP
app01-11090	174	7	the	the	DET
app01-11090	174	8	art	art	NOUN
app01-11090	174	9	.	.	PUNCT
app01-11090	175	1	mathematics	mathematic	NOUN
app01-11090	175	2	and	and	CCONJ
app01-11090	175	3	mechanics	mechanic	NOUN
app01-11090	175	4	of	of	ADP
app01-11090	175	5	solids	solid	NOUN
app01-11090	175	6	24(1):212–234	24(1):212–234	NUM
app01-11090	175	7	,	,	PUNCT
app01-11090	175	8	2019	2019	NUM
app01-11090	175	9	.	.	PUNCT
app01-11090	176	1	https://doi.org/10.1177/1081286517735695	https://doi.org/10.1177/1081286517735695	X
app01-11090	177	1	[	[	X
app01-11090	177	2	2	2	NUM
app01-11090	177	3	]	]	PUNCT
app01-11090	177	4	o.	o.	NOUN
app01-11090	177	5	sigmund	sigmund	NOUN
app01-11090	177	6	.	.	PUNCT
app01-11090	178	1	a	a	DET
app01-11090	178	2	new	new	ADJ
app01-11090	178	3	class	class	NOUN
app01-11090	178	4	of	of	ADP
app01-11090	178	5	extremal	extremal	ADJ
app01-11090	178	6	composites	composite	NOUN
app01-11090	178	7	.	.	PUNCT
app01-11090	179	1	journal	journal	NOUN
app01-11090	179	2	of	of	ADP
app01-11090	179	3	the	the	DET
app01-11090	179	4	mechanics	mechanic	NOUN
app01-11090	179	5	and	and	CCONJ
app01-11090	179	6	physics	physic	NOUN
app01-11090	179	7	of	of	ADP
app01-11090	179	8	solids	solid	NOUN
app01-11090	179	9	48(2):397–428	48(2):397–428	PROPN
app01-11090	179	10	,	,	PUNCT
app01-11090	179	11	2000	2000	NUM
app01-11090	179	12	.	.	PUNCT
app01-11090	180	1	https://doi.org/10.1016/s0022-5096(99)00034-4	https://doi.org/10.1016/s0022-5096(99)00034-4	PROPN
app01-11090	181	1	[	[	X
app01-11090	181	2	3	3	X
app01-11090	181	3	]	]	X
app01-11090	181	4	g.	g.	PROPN
app01-11090	181	5	w.	w.	PROPN
app01-11090	181	6	milton	milton	PROPN
app01-11090	181	7	,	,	PUNCT
app01-11090	181	8	a.	a.	PROPN
app01-11090	181	9	v.	v.	PROPN
app01-11090	181	10	cherkaev	cherkaev	PROPN
app01-11090	181	11	.	.	PUNCT
app01-11090	182	1	which	which	DET
app01-11090	182	2	elasticity	elasticity	NOUN
app01-11090	182	3	tensors	tensor	NOUN
app01-11090	182	4	are	be	AUX
app01-11090	182	5	realizable	realizable	ADJ
app01-11090	182	6	?	?	PUNCT
app01-11090	183	1	journal	journal	NOUN
app01-11090	183	2	of	of	ADP
app01-11090	183	3	engineering	engineering	NOUN
app01-11090	183	4	materials	material	NOUN
app01-11090	183	5	and	and	CCONJ
app01-11090	183	6	technology	technology	NOUN
app01-11090	183	7	117(4):483–493	117(4):483–493	NUM
app01-11090	183	8	,	,	PUNCT
app01-11090	183	9	1995	1995	NUM
app01-11090	183	10	.	.	PUNCT
app01-11090	184	1	https://doi.org/10.1115/1.2804743	https://doi.org/10.1115/1.2804743	PROPN
app01-11090	185	1	[	[	X
app01-11090	185	2	4	4	NUM
app01-11090	185	3	]	]	PUNCT
app01-11090	185	4	a.	a.	NOUN
app01-11090	185	5	martin	martin	PROPN
app01-11090	185	6	,	,	PUNCT
app01-11090	185	7	m.	m.	NOUN
app01-11090	185	8	kadic	kadic	PROPN
app01-11090	185	9	,	,	PUNCT
app01-11090	185	10	r.	r.	PROPN
app01-11090	185	11	schittny	schittny	PROPN
app01-11090	185	12	,	,	PUNCT
app01-11090	185	13	et	et	PROPN
app01-11090	185	14	al	al	PROPN
app01-11090	185	15	.	.	PROPN
app01-11090	186	1	phonon	phonon	PROPN
app01-11090	186	2	band	band	NOUN
app01-11090	186	3	structures	structure	NOUN
app01-11090	186	4	of	of	ADP
app01-11090	186	5	three	three	NUM
app01-11090	186	6	-	-	PUNCT
app01-11090	186	7	dimensional	dimensional	ADJ
app01-11090	186	8	pentamode	pentamode	ADJ
app01-11090	186	9	metamaterials	metamaterial	NOUN
app01-11090	186	10	.	.	PUNCT
app01-11090	187	1	physical	physical	PROPN
app01-11090	187	2	review	review	PROPN
app01-11090	187	3	b	b	PROPN
app01-11090	187	4	86(15):155116	86(15):155116	NUM
app01-11090	187	5	,	,	PUNCT
app01-11090	187	6	2012	2012	NUM
app01-11090	187	7	.	.	PUNCT
app01-11090	188	1	publisher	publisher	NOUN
app01-11090	188	2	:	:	PUNCT
app01-11090	188	3	american	american	PROPN
app01-11090	188	4	physical	physical	ADJ
app01-11090	188	5	society	society	NOUN
app01-11090	188	6	.	.	PUNCT
app01-11090	188	7	https://doi.org/10.1103/physrevb.86.155116	https://doi.org/10.1103/physrevb.86.155116	VERB
app01-11090	189	1	[	[	X
app01-11090	189	2	5	5	NUM
app01-11090	189	3	]	]	PUNCT
app01-11090	189	4	a.	a.	NOUN
app01-11090	189	5	o.	o.	PROPN
app01-11090	189	6	krushynska	krushynska	PROPN
app01-11090	189	7	,	,	PUNCT
app01-11090	189	8	p.	p.	NOUN
app01-11090	189	9	galich	galich	PROPN
app01-11090	189	10	,	,	PUNCT
app01-11090	189	11	f.	f.	PROPN
app01-11090	189	12	bosia	bosia	PROPN
app01-11090	189	13	,	,	PUNCT
app01-11090	189	14	et	et	PROPN
app01-11090	189	15	al	al	PROPN
app01-11090	189	16	.	.	PUNCT
app01-11090	189	17	hybrid	hybrid	ADJ
app01-11090	189	18	metamaterials	metamaterial	NOUN
app01-11090	189	19	combining	combine	VERB
app01-11090	189	20	pentamode	pentamode	ADJ
app01-11090	189	21	lattices	lattice	NOUN
app01-11090	189	22	and	and	CCONJ
app01-11090	189	23	phononic	phononic	ADJ
app01-11090	189	24	plates	plate	NOUN
app01-11090	189	25	.	.	PUNCT
app01-11090	190	1	applied	apply	VERB
app01-11090	190	2	physics	physics	NOUN
app01-11090	190	3	letters	letter	NOUN
app01-11090	190	4	113(20):201901	113(20):201901	NUM
app01-11090	190	5	,	,	PUNCT
app01-11090	190	6	2018	2018	NUM
app01-11090	190	7	.	.	PUNCT
app01-11090	191	1	https://doi.org/10.1063/1.5052161	https://doi.org/10.1063/1.5052161	VERB
app01-11090	191	2	[	[	X
app01-11090	191	3	6	6	NUM
app01-11090	191	4	]	]	PUNCT
app01-11090	191	5	c.	c.	PROPN
app01-11090	191	6	w.	w.	PROPN
app01-11090	191	7	cushing	cushing	PROPN
app01-11090	191	8	,	,	PUNCT
app01-11090	191	9	m.	m.	PROPN
app01-11090	191	10	j.	j.	PROPN
app01-11090	191	11	kelsten	kelsten	PROPN
app01-11090	191	12	,	,	PUNCT
app01-11090	191	13	x.	x.	PROPN
app01-11090	191	14	su	su	PROPN
app01-11090	191	15	,	,	PUNCT
app01-11090	191	16	et	et	PROPN
app01-11090	191	17	al	al	PROPN
app01-11090	191	18	.	.	PROPN
app01-11090	191	19	design	design	NOUN
app01-11090	191	20	and	and	CCONJ
app01-11090	191	21	characterization	characterization	NOUN
app01-11090	191	22	of	of	ADP
app01-11090	191	23	a	a	DET
app01-11090	191	24	three	three	NUM
app01-11090	191	25	-	-	PUNCT
app01-11090	191	26	dimensional	dimensional	ADJ
app01-11090	191	27	anisotropic	anisotropic	NOUN
app01-11090	191	28	additively	additively	ADV
app01-11090	191	29	manufactured	manufacture	VERB
app01-11090	191	30	pentamode	pentamode	ADJ
app01-11090	191	31	material	material	NOUN
app01-11090	191	32	.	.	PUNCT
app01-11090	192	1	the	the	DET
app01-11090	192	2	journal	journal	NOUN
app01-11090	192	3	of	of	ADP
app01-11090	192	4	the	the	DET
app01-11090	192	5	acoustical	acoustical	ADJ
app01-11090	192	6	society	society	NOUN
app01-11090	192	7	of	of	ADP
app01-11090	192	8	america	america	PROPN
app01-11090	192	9	151(1):168	151(1):168	NOUN
app01-11090	192	10	–	–	PUNCT
app01-11090	192	11	179	179	NUM
app01-11090	192	12	,	,	PUNCT
app01-11090	192	13	2022	2022	NUM
app01-11090	192	14	.	.	PUNCT
app01-11090	193	1	https://doi.org/10.1121/10.0009161	https://doi.org/10.1121/10.0009161	VERB
app01-11090	193	2	[	[	X
app01-11090	193	3	7	7	X
app01-11090	193	4	]	]	X
app01-11090	193	5	c.	c.	PROPN
app01-11090	193	6	gustavo	gustavo	PROPN
app01-11090	193	7	méndez	méndez	PROPN
app01-11090	193	8	,	,	PUNCT
app01-11090	193	9	j.	j.	PROPN
app01-11090	193	10	m.	m.	PROPN
app01-11090	193	11	podestá	podestá	PROPN
app01-11090	193	12	,	,	PUNCT
app01-11090	193	13	o.	o.	PROPN
app01-11090	193	14	lloberas	lloberas	PROPN
app01-11090	193	15	-	-	PUNCT
app01-11090	193	16	valls	vall	NOUN
app01-11090	193	17	,	,	PUNCT
app01-11090	193	18	et	et	PROPN
app01-11090	193	19	al	al	PROPN
app01-11090	193	20	.	.	PUNCT
app01-11090	193	21	computational	computational	ADJ
app01-11090	193	22	material	material	NOUN
app01-11090	193	23	design	design	NOUN
app01-11090	193	24	for	for	ADP
app01-11090	193	25	acoustic	acoustic	ADJ
app01-11090	193	26	cloaking	cloaking	NOUN
app01-11090	193	27	.	.	PUNCT
app01-11090	194	1	international	international	ADJ
app01-11090	194	2	journal	journal	PROPN
app01-11090	194	3	for	for	ADP
app01-11090	194	4	numerical	numerical	ADJ
app01-11090	194	5	methods	method	NOUN
app01-11090	194	6	in	in	ADP
app01-11090	194	7	engineering	engineering	NOUN
app01-11090	194	8	112(10):1353–1380	112(10):1353–1380	NUM
app01-11090	194	9	,	,	PUNCT
app01-11090	194	10	2017	2017	NUM
app01-11090	194	11	.	.	PUNCT
app01-11090	195	1	https://doi.org/10.1002/nme.5560	https://doi.org/10.1002/nme.5560	PROPN
app01-11090	196	1	[	[	X
app01-11090	196	2	8	8	NUM
app01-11090	196	3	]	]	PUNCT
app01-11090	196	4	a.	a.	NOUN
app01-11090	196	5	amendola	amendola	PROPN
app01-11090	196	6	,	,	PUNCT
app01-11090	196	7	g.	g.	PROPN
app01-11090	196	8	carpentieri	carpentieri	PROPN
app01-11090	196	9	,	,	PUNCT
app01-11090	196	10	l.	l.	PROPN
app01-11090	196	11	feo	feo	PROPN
app01-11090	196	12	,	,	PUNCT
app01-11090	196	13	f.	f.	PROPN
app01-11090	196	14	fraternali	fraternali	PROPN
app01-11090	196	15	.	.	PUNCT
app01-11090	197	1	bending	bend	VERB
app01-11090	197	2	dominated	dominate	VERB
app01-11090	197	3	response	response	NOUN
app01-11090	197	4	of	of	ADP
app01-11090	197	5	layered	layered	ADJ
app01-11090	197	6	mechanical	mechanical	ADJ
app01-11090	197	7	metamaterials	metamaterial	NOUN
app01-11090	197	8	alternating	alternate	VERB
app01-11090	197	9	pentamode	pentamode	ADJ
app01-11090	197	10	lattices	lattice	NOUN
app01-11090	197	11	and	and	CCONJ
app01-11090	197	12	confinement	confinement	NOUN
app01-11090	197	13	plates	plate	NOUN
app01-11090	197	14	.	.	PUNCT
app01-11090	198	1	composite	composite	ADJ
app01-11090	198	2	structures	structure	NOUN
app01-11090	198	3	157:71–77	157:71–77	NUM
app01-11090	198	4	,	,	PUNCT
app01-11090	198	5	2016	2016	NUM
app01-11090	198	6	.	.	PUNCT
app01-11090	199	1	https	https	NOUN
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app01-11090	200	2	/	/	SYM
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app01-11090	201	10	jošková	jošková	NOUN
app01-11090	201	11	,	,	PUNCT
app01-11090	201	12	m.	m.	NOUN
app01-11090	201	13	tyburec	tyburec	NOUN
app01-11090	201	14	,	,	PUNCT
app01-11090	201	15	m.	m.	PROPN
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app01-11090	201	21	[	[	X
app01-11090	201	22	9	9	X
app01-11090	201	23	]	]	PUNCT
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app01-11090	201	25	n.	n.	PROPN
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app01-11090	201	31	.	.	PUNCT
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app01-11090	202	4	pentamode	pentamode	ADJ
app01-11090	202	5	metamaterials	metamaterial	NOUN
app01-11090	202	6	for	for	ADP
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app01-11090	202	9	.	.	PUNCT
app01-11090	203	1	procedia	procedia	PROPN
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app01-11090	203	5	,	,	PUNCT
app01-11090	203	6	2020	2020	NUM
app01-11090	203	7	.	.	PUNCT
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app01-11090	205	20	ratio	ratio	NOUN
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app01-11090	205	25	.	.	PUNCT
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app01-11090	206	4	,	,	PUNCT
app01-11090	206	5	2023	2023	NUM
app01-11090	206	6	.	.	PUNCT
app01-11090	207	1	https	https	NOUN
app01-11090	207	2	:	:	PUNCT
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app01-11090	209	4	acoustic	acoustic	ADJ
app01-11090	209	5	band	band	NOUN
app01-11090	209	6	gaps	gap	NOUN
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app01-11090	209	8	pentamode	pentamode	ADJ
app01-11090	209	9	metamaterials	metamaterial	NOUN
app01-11090	209	10	with	with	ADP
app01-11090	209	11	different	different	ADJ
app01-11090	209	12	cross	cross	ADJ
app01-11090	209	13	-	-	ADJ
app01-11090	209	14	section	section	ADJ
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app01-11090	209	16	.	.	PUNCT
app01-11090	210	1	physics	physics	NOUN
app01-11090	210	2	letters	letter	NOUN
app01-11090	210	3	a	a	DET
app01-11090	210	4	380(13):1334–1338	380(13):1334–1338	NUM
app01-11090	210	5	,	,	PUNCT
app01-11090	210	6	2016	2016	NUM
app01-11090	210	7	.	.	PUNCT
app01-11090	211	1	https://doi.org/10.1016/j.physleta.2016.01.041	https://doi.org/10.1016/j.physleta.2016.01.041	PROPN
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app01-11090	212	2	12	12	NUM
app01-11090	212	3	]	]	PUNCT
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app01-11090	212	5	kadic	kadic	ADJ
app01-11090	212	6	,	,	PUNCT
app01-11090	212	7	t.	t.	NOUN
app01-11090	212	8	bückmann	bückmann	PROPN
app01-11090	212	9	,	,	PUNCT
app01-11090	212	10	r.	r.	PROPN
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app01-11090	212	12	,	,	PUNCT
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app01-11090	212	15	.	.	PUNCT
app01-11090	213	1	pentamode	pentamode	PROPN
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app01-11090	213	4	independently	independently	ADV
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app01-11090	213	6	bulk	bulk	ADJ
app01-11090	213	7	modulus	modulus	NOUN
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app01-11090	213	10	density	density	NOUN
app01-11090	213	11	.	.	PUNCT
app01-11090	214	1	physical	physical	ADJ
app01-11090	214	2	review	review	NOUN
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app01-11090	214	5	,	,	PUNCT
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app01-11090	214	7	.	.	PUNCT
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app01-11090	216	1	13	13	NUM
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app01-11090	217	8	structure	structure	NOUN
app01-11090	217	9	of	of	ADP
app01-11090	217	10	face	face	NOUN
app01-11090	217	11	centered	center	VERB
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app01-11090	217	14	.	.	PUNCT
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app01-11090	218	4	124:103933	124:103933	NUM
app01-11090	218	5	,	,	PUNCT
app01-11090	218	6	2022	2022	NUM
app01-11090	218	7	.	.	PUNCT
app01-11090	219	1	https	https	NOUN
app01-11090	219	2	:	:	PUNCT
app01-11090	220	1	//doi.org/10.1016	//doi.org/10.1016	PROPN
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app01-11090	220	5	14	14	NUM
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app01-11090	221	2	modeling	modeling	NOUN
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app01-11090	221	6	alternating	alternate	VERB
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app01-11090	223	3	15	15	NUM
app01-11090	223	4	]	]	PUNCT
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app01-11090	224	10	technique	technique	NOUN
app01-11090	224	11	.	.	PUNCT
app01-11090	225	1	applied	apply	VERB
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app01-11090	225	7	.	.	PUNCT
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app01-11090	227	10	x.	x.	PROPN
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app01-11090	228	1	journal	journal	PROPN
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app01-11090	230	11	kadic	kadic	PROPN
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app01-11090	230	24	mechanical	mechanical	ADJ
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app01-11090	230	26	.	.	PUNCT
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app01-11090	234	10	problem	problem	NOUN
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app01-11090	235	2	journal	journal	PROPN
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app01-11090	235	4	solids	solid	NOUN
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app01-11090	235	10	.	.	PUNCT
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app01-11090	237	6	,	,	PUNCT
app01-11090	237	7	x.	x.	PROPN
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app01-11090	237	9	,	,	PUNCT
app01-11090	237	10	l.	l.	PROPN
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app01-11090	237	14	.	.	PUNCT
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app01-11090	238	2	.	.	PUNCT
app01-11090	239	1	an	an	DET
app01-11090	239	2	optimized	optimize	VERB
app01-11090	239	3	,	,	PUNCT
app01-11090	239	4	easy	easy	ADJ
app01-11090	239	5	-	-	PUNCT
app01-11090	239	6	to	to	ADP
app01-11090	239	7	-	-	PUNCT
app01-11090	239	8	use	use	VERB
app01-11090	239	9	,	,	PUNCT
app01-11090	239	10	open	open	ADJ
app01-11090	239	11	-	-	PUNCT
app01-11090	239	12	source	source	NOUN
app01-11090	239	13	gpu	gpu	NOUN
app01-11090	239	14	solver	solver	NOUN
app01-11090	239	15	for	for	ADP
app01-11090	239	16	large	large	ADJ
app01-11090	239	17	-	-	PUNCT
app01-11090	239	18	scale	scale	NOUN
app01-11090	239	19	inverse	inverse	NOUN
app01-11090	239	20	homogenization	homogenization	NOUN
app01-11090	239	21	problems	problem	NOUN
app01-11090	239	22	.	.	PUNCT
app01-11090	240	1	structural	structural	ADJ
app01-11090	240	2	and	and	CCONJ
app01-11090	240	3	multidisciplinary	multidisciplinary	ADJ
app01-11090	240	4	optimization	optimization	NOUN
app01-11090	240	5	66(9):207	66(9):207	NOUN
app01-11090	240	6	,	,	PUNCT
app01-11090	240	7	2023	2023	NUM
app01-11090	240	8	.	.	PUNCT
app01-11090	241	1	https://doi.org/10.1007/s00158-023-03657-y	https://doi.org/10.1007/s00158-023-03657-y	NOUN
app01-11090	242	1	[	[	X
app01-11090	242	2	20	20	NUM
app01-11090	242	3	]	]	PUNCT
app01-11090	242	4	p.	p.	NOUN
app01-11090	242	5	vogiatzis	vogiatzis	PROPN
app01-11090	242	6	,	,	PUNCT
app01-11090	242	7	s.	s.	PROPN
app01-11090	242	8	chen	chen	PROPN
app01-11090	242	9	,	,	PUNCT
app01-11090	242	10	x.	x.	PROPN
app01-11090	242	11	wang	wang	PROPN
app01-11090	242	12	,	,	PUNCT
app01-11090	242	13	et	et	PROPN
app01-11090	242	14	al	al	PROPN
app01-11090	242	15	.	.	PUNCT
app01-11090	242	16	topology	topology	NOUN
app01-11090	242	17	optimization	optimization	NOUN
app01-11090	242	18	of	of	ADP
app01-11090	242	19	multi	multi	ADJ
app01-11090	242	20	-	-	ADJ
app01-11090	242	21	material	material	ADJ
app01-11090	242	22	negative	negative	ADJ
app01-11090	242	23	poisson	poisson	NOUN
app01-11090	242	24	’s	’s	PART
app01-11090	242	25	ratio	ratio	NOUN
app01-11090	242	26	metamaterials	metamaterial	NOUN
app01-11090	242	27	using	use	VERB
app01-11090	242	28	a	a	DET
app01-11090	242	29	reconciled	reconcile	VERB
app01-11090	242	30	level	level	NOUN
app01-11090	242	31	set	set	NOUN
app01-11090	242	32	method	method	NOUN
app01-11090	242	33	.	.	PUNCT
app01-11090	243	1	computer	computer	NOUN
app01-11090	243	2	-	-	PUNCT
app01-11090	243	3	aided	aid	VERB
app01-11090	243	4	design	design	NOUN
app01-11090	243	5	83:15–32	83:15–32	NUM
app01-11090	243	6	,	,	PUNCT
app01-11090	243	7	2017	2017	NUM
app01-11090	243	8	.	.	PUNCT
app01-11090	244	1	https://doi.org/10.1016/j.cad.2016.09.009	https://doi.org/10.1016/j.cad.2016.09.009	X
app01-11090	245	1	[	[	X
app01-11090	245	2	21	21	NUM
app01-11090	245	3	]	]	PUNCT
app01-11090	245	4	s.	s.	PROPN
app01-11090	245	5	watts	watts	PROPN
app01-11090	245	6	,	,	PUNCT
app01-11090	245	7	d.	d.	PROPN
app01-11090	245	8	a.	a.	PROPN
app01-11090	245	9	tortorelli	tortorelli	PROPN
app01-11090	245	10	.	.	PUNCT
app01-11090	246	1	a	a	DET
app01-11090	246	2	geometric	geometric	ADJ
app01-11090	246	3	projection	projection	NOUN
app01-11090	246	4	method	method	NOUN
app01-11090	246	5	for	for	ADP
app01-11090	246	6	designing	design	VERB
app01-11090	246	7	three	three	NUM
app01-11090	246	8	-	-	PUNCT
app01-11090	246	9	dimensional	dimensional	ADJ
app01-11090	246	10	open	open	ADJ
app01-11090	246	11	lattices	lattice	NOUN
app01-11090	246	12	with	with	ADP
app01-11090	246	13	inverse	inverse	NOUN
app01-11090	246	14	homogenization	homogenization	NOUN
app01-11090	246	15	.	.	PUNCT
app01-11090	247	1	international	international	ADJ
app01-11090	247	2	journal	journal	PROPN
app01-11090	247	3	for	for	ADP
app01-11090	247	4	numerical	numerical	ADJ
app01-11090	247	5	methods	method	NOUN
app01-11090	247	6	in	in	ADP
app01-11090	247	7	engineering	engineering	NOUN
app01-11090	247	8	112(11):1564–1588	112(11):1564–1588	NUM
app01-11090	247	9	,	,	PUNCT
app01-11090	247	10	2017	2017	NUM
app01-11090	247	11	.	.	PUNCT
app01-11090	248	1	https://doi.org/10.1002/nme.5569	https://doi.org/10.1002/nme.5569	PROPN
app01-11090	249	1	[	[	X
app01-11090	249	2	22	22	NUM
app01-11090	249	3	]	]	X
app01-11090	249	4	f.	f.	PROPN
app01-11090	249	5	wang	wang	PROPN
app01-11090	249	6	,	,	PUNCT
app01-11090	249	7	o.	o.	PROPN
app01-11090	249	8	sigmund	sigmund	PROPN
app01-11090	249	9	,	,	PUNCT
app01-11090	249	10	j.	j.	PROPN
app01-11090	249	11	jensen	jensen	PROPN
app01-11090	249	12	.	.	PROPN
app01-11090	250	1	design	design	NOUN
app01-11090	250	2	of	of	ADP
app01-11090	250	3	materials	material	NOUN
app01-11090	250	4	with	with	ADP
app01-11090	250	5	prescribed	prescribed	ADJ
app01-11090	250	6	nonlinear	nonlinear	ADJ
app01-11090	250	7	properties	property	NOUN
app01-11090	250	8	.	.	PUNCT
app01-11090	251	1	journal	journal	NOUN
app01-11090	251	2	of	of	ADP
app01-11090	251	3	the	the	DET
app01-11090	251	4	mechanics	mechanic	NOUN
app01-11090	251	5	and	and	CCONJ
app01-11090	251	6	physics	physic	NOUN
app01-11090	251	7	of	of	ADP
app01-11090	251	8	solids	solid	NOUN
app01-11090	251	9	69:156–174	69:156–174	PROPN
app01-11090	251	10	,	,	PUNCT
app01-11090	251	11	2014	2014	NUM
app01-11090	251	12	.	.	PUNCT
app01-11090	252	1	https://doi.org/10.1016/j.jmps.2014.05.003	https://doi.org/10.1016/j.jmps.2014.05.003	ADJ
app01-11090	252	2	[	[	X
app01-11090	252	3	23	23	NUM
app01-11090	252	4	]	]	PUNCT
app01-11090	252	5	h.-w	h.-w	PROPN
app01-11090	252	6	.	.	PUNCT
app01-11090	252	7	dong	dong	PROPN
app01-11090	252	8	,	,	PUNCT
app01-11090	252	9	s.-d	s.-d	PROPN
app01-11090	252	10	.	.	PUNCT
app01-11090	253	1	zhao	zhao	PROPN
app01-11090	253	2	,	,	PUNCT
app01-11090	253	3	x.-b	x.-b	PROPN
app01-11090	253	4	.	.	PUNCT
app01-11090	254	1	miao	miao	PROPN
app01-11090	254	2	,	,	PUNCT
app01-11090	254	3	et	et	PROPN
app01-11090	254	4	al	al	PROPN
app01-11090	254	5	.	.	PROPN
app01-11090	254	6	customized	customize	VERB
app01-11090	254	7	broadband	broadband	NOUN
app01-11090	254	8	pentamode	pentamode	ADJ
app01-11090	254	9	metamaterials	metamaterial	NOUN
app01-11090	254	10	by	by	ADP
app01-11090	254	11	topology	topology	NOUN
app01-11090	254	12	optimization	optimization	NOUN
app01-11090	254	13	.	.	PUNCT
app01-11090	255	1	journal	journal	NOUN
app01-11090	255	2	of	of	ADP
app01-11090	255	3	the	the	DET
app01-11090	255	4	mechanics	mechanic	NOUN
app01-11090	255	5	and	and	CCONJ
app01-11090	255	6	physics	physic	NOUN
app01-11090	255	7	of	of	ADP
app01-11090	255	8	solids	solid	NOUN
app01-11090	255	9	152:104407	152:104407	NUM
app01-11090	255	10	,	,	PUNCT
app01-11090	255	11	2021	2021	NUM
app01-11090	255	12	.	.	PUNCT
app01-11090	256	1	https://doi.org/10.1016/j.jmps.2021.104407	https://doi.org/10.1016/j.jmps.2021.104407	NOUN
app01-11090	257	1	[	[	X
app01-11090	257	2	24	24	NUM
app01-11090	257	3	]	]	PUNCT
app01-11090	257	4	z.	z.	PROPN
app01-11090	257	5	li	li	PROPN
app01-11090	257	6	,	,	PUNCT
app01-11090	257	7	z.	z.	PROPN
app01-11090	257	8	luo	luo	PROPN
app01-11090	257	9	,	,	PUNCT
app01-11090	257	10	l.-c	l.-c	PROPN
app01-11090	257	11	.	.	PUNCT
app01-11090	258	1	zhang	zhang	PROPN
app01-11090	258	2	,	,	PUNCT
app01-11090	258	3	c.-h	c.-h	PROPN
app01-11090	258	4	.	.	PUNCT
app01-11090	259	1	wang	wang	PROPN
app01-11090	259	2	.	.	PUNCT
app01-11090	260	1	topological	topological	ADJ
app01-11090	260	2	design	design	NOUN
app01-11090	260	3	of	of	ADP
app01-11090	260	4	pentamode	pentamode	ADJ
app01-11090	260	5	lattice	lattice	PROPN
app01-11090	260	6	metamaterials	metamaterial	NOUN
app01-11090	260	7	using	use	VERB
app01-11090	260	8	a	a	DET
app01-11090	260	9	ground	ground	NOUN
app01-11090	260	10	structure	structure	NOUN
app01-11090	260	11	method	method	NOUN
app01-11090	260	12	.	.	PUNCT
app01-11090	261	1	materials	material	NOUN
app01-11090	261	2	&	&	CCONJ
app01-11090	261	3	design	design	NOUN
app01-11090	261	4	202:109523	202:109523	NUM
app01-11090	261	5	,	,	PUNCT
app01-11090	261	6	2021	2021	NUM
app01-11090	261	7	.	.	PUNCT
app01-11090	262	1	https://doi.org/10.1016/j.matdes.2021.109523	https://doi.org/10.1016/j.matdes.2021.109523	PROPN
app01-11090	262	2	[	[	X
app01-11090	262	3	25	25	NUM
app01-11090	262	4	]	]	PUNCT
app01-11090	262	5	z.	z.	PROPN
app01-11090	262	6	zou	zou	PROPN
app01-11090	262	7	,	,	PUNCT
app01-11090	262	8	f.	f.	PROPN
app01-11090	262	9	xu	xu	PROPN
app01-11090	262	10	,	,	PUNCT
app01-11090	262	11	y.	y.	PROPN
app01-11090	262	12	pan	pan	PROPN
app01-11090	262	13	,	,	PUNCT
app01-11090	262	14	t.	t.	PROPN
app01-11090	262	15	fang	fang	X
app01-11090	262	16	.	.	PUNCT
app01-11090	263	1	bandgap	bandgap	NOUN
app01-11090	263	2	properties	property	NOUN
app01-11090	263	3	and	and	CCONJ
app01-11090	263	4	multi	multi	ADJ
app01-11090	263	5	-	-	ADJ
app01-11090	263	6	objective	objective	ADJ
app01-11090	263	7	optimization	optimization	NOUN
app01-11090	263	8	of	of	ADP
app01-11090	263	9	double	double	ADJ
app01-11090	263	10	-	-	PUNCT
app01-11090	263	11	cone	cone	NOUN
app01-11090	263	12	pentamode	pentamode	ADJ
app01-11090	263	13	metamaterials	metamaterial	NOUN
app01-11090	263	14	with	with	ADP
app01-11090	263	15	curved	curved	ADJ
app01-11090	263	16	side	side	NOUN
app01-11090	263	17	.	.	PUNCT
app01-11090	264	1	physica	physica	PROPN
app01-11090	264	2	scripta	scripta	PROPN
app01-11090	264	3	98(3):035833	98(3):035833	NUM
app01-11090	264	4	,	,	PUNCT
app01-11090	264	5	2023	2023	NUM
app01-11090	264	6	.	.	PUNCT
app01-11090	265	1	https://doi.org/10.1088/1402-4896/acb5cc	https://doi.org/10.1088/1402-4896/acb5cc	NOUN
app01-11090	266	1	[	[	X
app01-11090	266	2	26	26	NUM
app01-11090	266	3	]	]	PUNCT
app01-11090	266	4	j.	j.	PROPN
app01-11090	266	5	c.	c.	PROPN
app01-11090	266	6	michel	michel	PROPN
app01-11090	266	7	,	,	PUNCT
app01-11090	266	8	h.	h.	PROPN
app01-11090	266	9	moulinec	moulinec	PROPN
app01-11090	266	10	,	,	PUNCT
app01-11090	266	11	p.	p.	NOUN
app01-11090	266	12	suquet	suquet	NOUN
app01-11090	266	13	.	.	PUNCT
app01-11090	267	1	effective	effective	ADJ
app01-11090	267	2	properties	property	NOUN
app01-11090	267	3	of	of	ADP
app01-11090	267	4	composite	composite	ADJ
app01-11090	267	5	materials	material	NOUN
app01-11090	267	6	with	with	ADP
app01-11090	267	7	periodic	periodic	ADJ
app01-11090	267	8	microstructure	microstructure	NOUN
app01-11090	267	9	:	:	PUNCT
app01-11090	267	10	a	a	DET
app01-11090	267	11	computational	computational	ADJ
app01-11090	267	12	approach	approach	NOUN
app01-11090	267	13	.	.	PUNCT
app01-11090	268	1	computer	computer	NOUN
app01-11090	268	2	methods	method	NOUN
app01-11090	268	3	in	in	ADP
app01-11090	268	4	applied	applied	ADJ
app01-11090	268	5	mechanics	mechanic	NOUN
app01-11090	268	6	and	and	CCONJ
app01-11090	268	7	engineering	engineering	NOUN
app01-11090	268	8	172(1	172(1	PROPN
app01-11090	268	9	-	-	SYM
app01-11090	268	10	4):109–143	4):109–143	NUM
app01-11090	268	11	,	,	PUNCT
app01-11090	268	12	1999	1999	NUM
app01-11090	268	13	.	.	PUNCT
app01-11090	269	1	https://doi.org/10.1016/s0045-7825(98)00227-8	https://doi.org/10.1016/s0045-7825(98)00227-8	PROPN
app01-11090	270	1	[	[	X
app01-11090	270	2	27	27	NUM
app01-11090	270	3	]	]	PUNCT
app01-11090	270	4	m.	m.	NOUN
app01-11090	270	5	doškář	doškář	PROPN
app01-11090	270	6	,	,	PUNCT
app01-11090	270	7	j.	j.	PROPN
app01-11090	270	8	novák	novák	PROPN
app01-11090	270	9	.	.	PUNCT
app01-11090	271	1	a	a	DET
app01-11090	271	2	jigsaw	jigsaw	NOUN
app01-11090	271	3	puzzle	puzzle	NOUN
app01-11090	271	4	framework	framework	NOUN
app01-11090	271	5	for	for	ADP
app01-11090	271	6	homogenization	homogenization	NOUN
app01-11090	271	7	of	of	ADP
app01-11090	271	8	high	high	ADJ
app01-11090	271	9	porosity	porosity	NOUN
app01-11090	271	10	foams	foam	NOUN
app01-11090	271	11	.	.	PUNCT
app01-11090	272	1	computers	computer	NOUN
app01-11090	272	2	&	&	CCONJ
app01-11090	272	3	structures	structure	NOUN
app01-11090	272	4	166:33–41	166:33–41	NUM
app01-11090	272	5	,	,	PUNCT
app01-11090	272	6	2016	2016	NUM
app01-11090	272	7	.	.	PUNCT
app01-11090	273	1	https://doi.org/10.1016/j.compstruc.2016.01.003	https://doi.org/10.1016/j.compstruc.2016.01.003	PROPN
app01-11090	273	2	[	[	X
app01-11090	273	3	28	28	NUM
app01-11090	273	4	]	]	X
app01-11090	273	5	n.	n.	PROPN
app01-11090	273	6	jošková	jošková	PROPN
app01-11090	273	7	,	,	PUNCT
app01-11090	273	8	m.	m.	NOUN
app01-11090	273	9	doškář	doškář	PROPN
app01-11090	273	10	.	.	PUNCT
app01-11090	274	1	effect	effect	NOUN
app01-11090	274	2	of	of	ADP
app01-11090	274	3	geometry	geometry	NOUN
app01-11090	274	4	on	on	ADP
app01-11090	274	5	homogenised	homogenised	ADJ
app01-11090	274	6	properties	property	NOUN
app01-11090	274	7	of	of	ADP
app01-11090	274	8	selected	select	VERB
app01-11090	274	9	auxetic	auxetic	ADJ
app01-11090	274	10	metamaterials	metamaterial	NOUN
app01-11090	274	11	.	.	PUNCT
app01-11090	275	1	acta	acta	PROPN
app01-11090	275	2	polytechnica	polytechnica	PROPN
app01-11090	275	3	ctu	ctu	NOUN
app01-11090	275	4	proceedings	proceeding	NOUN
app01-11090	275	5	49:20–25	49:20–25	NUM
app01-11090	275	6	,	,	PUNCT
app01-11090	275	7	2024	2024	NUM
app01-11090	275	8	.	.	PUNCT
app01-11090	276	1	https://doi.org/10.14311/app.2024.49.0020	https://doi.org/10.14311/app.2024.49.0020	NOUN
app01-11090	277	1	[	[	X
app01-11090	277	2	29	29	NUM
app01-11090	277	3	]	]	X
app01-11090	277	4	j.	j.	PROPN
app01-11090	277	5	nocedal	nocedal	PROPN
app01-11090	277	6	,	,	PUNCT
app01-11090	277	7	s.	s.	PROPN
app01-11090	277	8	j.	j.	PROPN
app01-11090	277	9	wright	wright	PROPN
app01-11090	277	10	.	.	PUNCT
app01-11090	278	1	numerical	numerical	PROPN
app01-11090	278	2	optimization	optimization	PROPN
app01-11090	278	3	.	.	PUNCT
app01-11090	279	1	springer	springer	NOUN
app01-11090	279	2	series	series	PROPN
app01-11090	279	3	in	in	ADP
app01-11090	279	4	operations	operation	NOUN
app01-11090	279	5	research	research	NOUN
app01-11090	279	6	.	.	PUNCT
app01-11090	280	1	springer	springer	NOUN
app01-11090	280	2	,	,	PUNCT
app01-11090	280	3	new	new	PROPN
app01-11090	280	4	york	york	PROPN
app01-11090	280	5	,	,	PUNCT
app01-11090	280	6	2nd	2nd	PROPN
app01-11090	280	7	edn	edn	PROPN
app01-11090	280	8	.	.	PUNCT
app01-11090	280	9	,	,	PUNCT
app01-11090	280	10	2006	2006	NUM
app01-11090	280	11	.	.	PUNCT
app01-11090	281	1	[	[	X
app01-11090	281	2	30	30	NUM
app01-11090	281	3	]	]	PUNCT
app01-11090	281	4	k.	k.	PROPN
app01-11090	281	5	svanberg	svanberg	PROPN
app01-11090	281	6	.	.	PUNCT
app01-11090	282	1	the	the	DET
app01-11090	282	2	method	method	NOUN
app01-11090	282	3	of	of	ADP
app01-11090	282	4	moving	move	VERB
app01-11090	282	5	asymptotes	asymptote	NOUN
app01-11090	282	6	–	–	PUNCT
app01-11090	282	7	a	a	DET
app01-11090	282	8	new	new	ADJ
app01-11090	282	9	method	method	NOUN
app01-11090	282	10	for	for	ADP
app01-11090	282	11	structural	structural	ADJ
app01-11090	282	12	optimization	optimization	NOUN
app01-11090	282	13	.	.	PUNCT
app01-11090	283	1	international	international	ADJ
app01-11090	283	2	journal	journal	PROPN
app01-11090	283	3	for	for	ADP
app01-11090	283	4	numerical	numerical	ADJ
app01-11090	283	5	methods	method	NOUN
app01-11090	283	6	in	in	ADP
app01-11090	283	7	engineering	engineer	VERB
app01-11090	283	8	24(2):359	24(2):359	NUM
app01-11090	283	9	–	–	PUNCT
app01-11090	283	10	373	373	NUM
app01-11090	283	11	,	,	PUNCT
app01-11090	283	12	1987	1987	NUM
app01-11090	283	13	.	.	PUNCT
app01-11090	284	1	https://doi.org/10.1002/nme.1620240207	https://doi.org/10.1002/nme.1620240207	VERB
app01-11090	284	2	40	40	NUM
app01-11090	284	3	https://doi.org/10.1016/j.prostr.2020.06.033	https://doi.org/10.1016/j.prostr.2020.06.033	PROPN
app01-11090	284	4	https://doi.org/10.1016/j.compstruct.2023.117331	https://doi.org/10.1016/j.compstruct.2023.117331	ADJ
app01-11090	284	5	https://doi.org/10.1016/j.compstruct.2023.117331	https://doi.org/10.1016/j.compstruct.2023.117331	ADJ
app01-11090	284	6	https://doi.org/10.1016/j.physleta.2016.01.041	https://doi.org/10.1016/j.physleta.2016.01.041	NOUN
app01-11090	284	7	https://doi.org/10.1103/physrevapplied.2.054007	https://doi.org/10.1103/physrevapplied.2.054007	VERB
app01-11090	284	8	https://doi.org/10.1016/j.mechrescom.2022.103933	https://doi.org/10.1016/j.mechrescom.2022.103933	PROPN
app01-11090	284	9	https://doi.org/10.1016/j.mechrescom.2022.103933	https://doi.org/10.1016/j.mechrescom.2022.103933	NOUN
app01-11090	284	10	https://doi.org/10.1016/j.jmps.2016.11.010	https://doi.org/10.1016/j.jmps.2016.11.010	PROPN
app01-11090	284	11	https://doi.org/10.1063/5.0014167	https://doi.org/10.1063/5.0014167	PROPN
app01-11090	284	12	https://doi.org/10.1063/1.5140610	https://doi.org/10.1063/1.5140610	PROPN
app01-11090	284	13	https://doi.org/10.3390/ma12213470	https://doi.org/10.3390/ma12213470	INTJ
app01-11090	284	14	https://doi.org/10.1016/0020-7683(94)90154-6	https://doi.org/10.1016/0020-7683(94)90154-6	PROPN
app01-11090	284	15	https://doi.org/10.1007/s00158-023-03657-y	https://doi.org/10.1007/s00158-023-03657-y	PROPN
app01-11090	284	16	https://doi.org/10.1016/j.cad.2016.09.009	https://doi.org/10.1016/j.cad.2016.09.009	NOUN
app01-11090	284	17	https://doi.org/10.1002/nme.5569	https://doi.org/10.1002/nme.5569	PROPN
app01-11090	284	18	https://doi.org/10.1016/j.jmps.2014.05.003	https://doi.org/10.1016/j.jmps.2014.05.003	ADJ
app01-11090	284	19	https://doi.org/10.1016/j.jmps.2021.104407	https://doi.org/10.1016/j.jmps.2021.104407	PROPN
app01-11090	284	20	https://doi.org/10.1016/j.matdes.2021.109523	https://doi.org/10.1016/j.matdes.2021.109523	PROPN
app01-11090	284	21	https://doi.org/10.1088/1402-4896/acb5cc	https://doi.org/10.1088/1402-4896/acb5cc	NOUN
app01-11090	284	22	https://doi.org/10.1016/s0045-7825(98)00227-8	https://doi.org/10.1016/s0045-7825(98)00227-8	PROPN
app01-11090	284	23	https://doi.org/10.1016/j.compstruc.2016.01.003	https://doi.org/10.1016/j.compstruc.2016.01.003	PROPN
app01-11090	284	24	https://doi.org/10.14311/app.2024.49.0020	https://doi.org/10.14311/app.2024.49.0020	NOUN
app01-11090	284	25	https://doi.org/10.1002/nme.1620240207	https://doi.org/10.1002/nme.1620240207	PROPN
app01-11090	284	26	acta	acta	PROPN
app01-11090	284	27	polytechnica	polytechnica	PROPN
app01-11090	284	28	ctu	ctu	NOUN
app01-11090	284	29	proceedings	proceeding	NOUN
app01-11090	284	30	54:34–40	54:34–40	NUM
app01-11090	284	31	,	,	PUNCT
app01-11090	284	32	2025	2025	NUM
app01-11090	284	33	1	1	NUM
app01-11090	284	34	introduction	introduction	NOUN
app01-11090	284	35	2	2	NUM
app01-11090	284	36	methodology	methodology	NOUN
app01-11090	284	37	2.1	2.1	NUM
app01-11090	284	38	numerical	numerical	ADJ
app01-11090	284	39	model	model	NOUN
app01-11090	284	40	2.2	2.2	NUM
app01-11090	284	41	first	first	ADJ
app01-11090	284	42	-	-	PUNCT
app01-11090	284	43	order	order	NOUN
app01-11090	284	44	homogenisation	homogenisation	NOUN
app01-11090	284	45	2.3	2.3	NUM
app01-11090	284	46	topology	topology	NOUN
app01-11090	284	47	optimisation	optimisation	NOUN
app01-11090	284	48	3	3	NUM
app01-11090	284	49	results	result	VERB
app01-11090	284	50	3.1	3.1	NUM
app01-11090	284	51	unimodal	unimodal	ADJ
app01-11090	284	52	metamaterial	metamaterial	ADJ
app01-11090	284	53	3.2	3.2	NUM
app01-11090	284	54	pentamodal	pentamodal	NOUN
app01-11090	284	55	metamaterial	metamaterial	ADJ
app01-11090	284	56	4	4	NUM
app01-11090	284	57	summary	summary	NOUN
app01-11090	284	58	acknowledgements	acknowledgement	NOUN
app01-11090	284	59	references	reference	NOUN