id	sid	tid	token	lemma	pos
ap-3143	1	1	acta	acta	PROPN
ap-3143	1	2	polytechnica	polytechnica	PROPN
ap-3143	1	3	doi:10.14311	doi:10.14311	PROPN
ap-3143	1	4	/	/	SYM
ap-3143	1	5	ap.2016.56.0472	ap.2016.56.0472	PROPN
ap-3143	1	6	acta	acta	PROPN
ap-3143	1	7	polytechnica	polytechnica	PROPN
ap-3143	1	8	56(6):472–477	56(6):472–477	PROPN
ap-3143	1	9	,	,	PUNCT
ap-3143	1	10	2016	2016	NUM
ap-3143	1	11	©	©	PROPN
ap-3143	1	12	czech	czech	PROPN
ap-3143	1	13	technical	technical	PROPN
ap-3143	1	14	university	university	PROPN
ap-3143	1	15	in	in	ADP
ap-3143	1	16	prague	prague	PROPN
ap-3143	1	17	,	,	PUNCT
ap-3143	1	18	2016	2016	NUM
ap-3143	1	19	available	available	ADJ
ap-3143	1	20	online	online	ADV
ap-3143	1	21	at	at	ADP
ap-3143	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-3143	1	23	simulation	simulation	NOUN
ap-3143	1	24	of	of	ADP
ap-3143	1	25	surface	surface	NOUN
ap-3143	1	26	heating	heating	NOUN
ap-3143	1	27	for	for	ADP
ap-3143	1	28	arbitrary	arbitrary	ADJ
ap-3143	1	29	shape	shape	NOUN
ap-3143	1	30	’s	’s	PART
ap-3143	1	31	moving	move	VERB
ap-3143	1	32	bodies	body	NOUN
ap-3143	1	33	/	/	SYM
ap-3143	1	34	sources	source	NOUN
ap-3143	1	35	by	by	ADP
ap-3143	1	36	using	use	VERB
ap-3143	1	37	r	r	NOUN
ap-3143	1	38	-	-	PUNCT
ap-3143	1	39	functions	function	NOUN
ap-3143	1	40	sergiy	sergiy	ADJ
ap-3143	1	41	plankovskyy	plankovskyy	NOUN
ap-3143	1	42	,	,	PUNCT
ap-3143	1	43	olga	olga	PROPN
ap-3143	1	44	shypul	shypul	PROPN
ap-3143	1	45	,	,	PUNCT
ap-3143	1	46	yevgen	yevgen	ADJ
ap-3143	1	47	tsegelnyk∗	tsegelnyk∗	NOUN
ap-3143	1	48	,	,	PUNCT
ap-3143	1	49	oleg	oleg	PROPN
ap-3143	1	50	tryfonov	tryfonov	PROPN
ap-3143	1	51	,	,	PUNCT
ap-3143	1	52	ivan	ivan	PROPN
ap-3143	1	53	golovin	golovin	PROPN
ap-3143	1	54	national	national	PROPN
ap-3143	1	55	aerospace	aerospace	PROPN
ap-3143	1	56	university	university	PROPN
ap-3143	1	57	,	,	PUNCT
ap-3143	1	58	“	"	PUNCT
ap-3143	1	59	kharkiv	kharkiv	PROPN
ap-3143	1	60	aviation	aviation	PROPN
ap-3143	1	61	institute	institute	PROPN
ap-3143	1	62	”	"	PUNCT
ap-3143	1	63	named	name	VERB
ap-3143	1	64	after	after	ADP
ap-3143	1	65	n.	n.	NOUN
ap-3143	1	66	ye	ye	PROPN
ap-3143	1	67	.	.	PROPN
ap-3143	1	68	zhukovsky	zhukovsky	ADJ
ap-3143	1	69	,	,	PUNCT
ap-3143	1	70	faculty	faculty	NOUN
ap-3143	1	71	of	of	ADP
ap-3143	1	72	aircraft	aircraft	NOUN
ap-3143	1	73	engineering	engineering	NOUN
ap-3143	1	74	,	,	PUNCT
ap-3143	1	75	department	department	NOUN
ap-3143	1	76	of	of	ADP
ap-3143	1	77	aircraft	aircraft	NOUN
ap-3143	1	78	manufacturing	manufacturing	NOUN
ap-3143	1	79	technologies	technology	NOUN
ap-3143	1	80	,	,	PUNCT
ap-3143	1	81	chkalova	chkalova	NOUN
ap-3143	1	82	17	17	NUM
ap-3143	1	83	,	,	PUNCT
ap-3143	1	84	61070	61070	NUM
ap-3143	1	85	,	,	PUNCT
ap-3143	1	86	kharkiv	kharkiv	PROPN
ap-3143	1	87	,	,	PUNCT
ap-3143	1	88	ukraine	ukraine	NOUN
ap-3143	1	89	∗	∗	NOUN
ap-3143	1	90	corresponding	correspond	VERB
ap-3143	1	91	author	author	NOUN
ap-3143	1	92	:	:	PUNCT
ap-3143	1	93	y.tsegelnyk@gmail.com	y.tsegelnyk@gmail.com	X
ap-3143	1	94	abstract	abstract	PROPN
ap-3143	1	95	.	.	PUNCT
ap-3143	2	1	the	the	DET
ap-3143	2	2	purpose	purpose	NOUN
ap-3143	2	3	of	of	ADP
ap-3143	2	4	this	this	DET
ap-3143	2	5	article	article	NOUN
ap-3143	2	6	is	be	AUX
ap-3143	2	7	to	to	PART
ap-3143	2	8	propose	propose	VERB
ap-3143	2	9	an	an	DET
ap-3143	2	10	efficient	efficient	ADJ
ap-3143	2	11	algorithm	algorithm	NOUN
ap-3143	2	12	for	for	ADP
ap-3143	2	13	determining	determine	VERB
ap-3143	2	14	the	the	DET
ap-3143	2	15	place	place	NOUN
ap-3143	2	16	of	of	ADP
ap-3143	2	17	an	an	DET
ap-3143	2	18	action	action	NOUN
ap-3143	2	19	of	of	ADP
ap-3143	2	20	a	a	DET
ap-3143	2	21	heat	heat	NOUN
ap-3143	2	22	source	source	NOUN
ap-3143	2	23	with	with	ADP
ap-3143	2	24	a	a	DET
ap-3143	2	25	given	give	VERB
ap-3143	2	26	motion	motion	NOUN
ap-3143	2	27	law	law	NOUN
ap-3143	2	28	for	for	ADP
ap-3143	2	29	a	a	DET
ap-3143	2	30	body	body	NOUN
ap-3143	2	31	of	of	ADP
ap-3143	2	32	an	an	DET
ap-3143	2	33	arbitrary	arbitrary	ADJ
ap-3143	2	34	shape	shape	NOUN
ap-3143	2	35	using	use	VERB
ap-3143	2	36	methods	method	NOUN
ap-3143	2	37	of	of	ADP
ap-3143	2	38	analytical	analytical	ADJ
ap-3143	2	39	geometry	geometry	NOUN
ap-3143	2	40	.	.	PUNCT
ap-3143	3	1	the	the	DET
ap-3143	3	2	solution	solution	NOUN
ap-3143	3	3	to	to	ADP
ap-3143	3	4	this	this	DET
ap-3143	3	5	problem	problem	NOUN
ap-3143	3	6	is	be	AUX
ap-3143	3	7	an	an	DET
ap-3143	3	8	important	important	ADJ
ap-3143	3	9	part	part	NOUN
ap-3143	3	10	of	of	ADP
ap-3143	3	11	a	a	DET
ap-3143	3	12	modeling	modeling	NOUN
ap-3143	3	13	of	of	ADP
ap-3143	3	14	a	a	DET
ap-3143	3	15	laser	laser	NOUN
ap-3143	3	16	,	,	PUNCT
ap-3143	3	17	plasma	plasma	NOUN
ap-3143	3	18	,	,	PUNCT
ap-3143	3	19	ion	ion	NOUN
ap-3143	3	20	beam	beam	NOUN
ap-3143	3	21	treatment	treatment	NOUN
ap-3143	3	22	.	.	PUNCT
ap-3143	4	1	in	in	ADP
ap-3143	4	2	addition	addition	NOUN
ap-3143	4	3	,	,	PUNCT
ap-3143	4	4	it	it	PRON
ap-3143	4	5	can	can	AUX
ap-3143	4	6	also	also	ADV
ap-3143	4	7	be	be	AUX
ap-3143	4	8	used	use	VERB
ap-3143	4	9	for	for	ADP
ap-3143	4	10	mass	mass	ADJ
ap-3143	4	11	transfer	transfer	NOUN
ap-3143	4	12	problems	problem	NOUN
ap-3143	4	13	,	,	PUNCT
ap-3143	4	14	such	such	ADJ
ap-3143	4	15	as	as	ADP
ap-3143	4	16	simulation	simulation	NOUN
ap-3143	4	17	of	of	ADP
ap-3143	4	18	coating	coating	NOUN
ap-3143	4	19	,	,	PUNCT
ap-3143	4	20	sputtering	sputtering	NOUN
ap-3143	4	21	,	,	PUNCT
ap-3143	4	22	painting	painting	NOUN
ap-3143	4	23	etc	etc	X
ap-3143	4	24	.	.	PUNCT
ap-3143	5	1	the	the	DET
ap-3143	5	2	problem	problem	NOUN
ap-3143	5	3	is	be	AUX
ap-3143	5	4	solved	solve	VERB
ap-3143	5	5	by	by	ADP
ap-3143	5	6	the	the	DET
ap-3143	5	7	method	method	NOUN
ap-3143	5	8	of	of	ADP
ap-3143	5	9	r	r	NOUN
ap-3143	5	10	-	-	PUNCT
ap-3143	5	11	functions	function	NOUN
ap-3143	5	12	to	to	PART
ap-3143	5	13	define	define	VERB
ap-3143	5	14	the	the	DET
ap-3143	5	15	shape	shape	NOUN
ap-3143	5	16	of	of	ADP
ap-3143	5	17	the	the	DET
ap-3143	5	18	test	test	NOUN
ap-3143	5	19	body	body	NOUN
ap-3143	5	20	and	and	CCONJ
ap-3143	5	21	the	the	DET
ap-3143	5	22	heat	heat	NOUN
ap-3143	5	23	source	source	NOUN
ap-3143	5	24	and	and	CCONJ
ap-3143	5	25	the	the	DET
ap-3143	5	26	analytical	analytical	ADJ
ap-3143	5	27	determination	determination	NOUN
ap-3143	5	28	zone	zone	NOUN
ap-3143	5	29	shadowing	shadowing	NOUN
ap-3143	5	30	.	.	PUNCT
ap-3143	6	1	as	as	ADP
ap-3143	6	2	an	an	DET
ap-3143	6	3	example	example	NOUN
ap-3143	6	4	,	,	PUNCT
ap-3143	6	5	we	we	PRON
ap-3143	6	6	consider	consider	VERB
ap-3143	6	7	the	the	DET
ap-3143	6	8	problem	problem	NOUN
ap-3143	6	9	of	of	ADP
ap-3143	6	10	using	use	VERB
ap-3143	6	11	the	the	DET
ap-3143	6	12	method	method	NOUN
ap-3143	6	13	of	of	ADP
ap-3143	6	14	ion	ion	NOUN
ap-3143	6	15	cleaning	cleaning	NOUN
ap-3143	6	16	parameters	parameter	NOUN
ap-3143	6	17	optimization	optimization	NOUN
ap-3143	6	18	considering	consider	VERB
ap-3143	6	19	temperature	temperature	NOUN
ap-3143	6	20	limitations	limitation	NOUN
ap-3143	6	21	.	.	PUNCT
ap-3143	7	1	application	application	NOUN
ap-3143	7	2	of	of	ADP
ap-3143	7	3	the	the	DET
ap-3143	7	4	r	r	NOUN
ap-3143	7	5	-	-	PUNCT
ap-3143	7	6	functions	function	NOUN
ap-3143	7	7	can	can	AUX
ap-3143	7	8	significantly	significantly	ADV
ap-3143	7	9	reduce	reduce	VERB
ap-3143	7	10	the	the	DET
ap-3143	7	11	amount	amount	NOUN
ap-3143	7	12	of	of	ADP
ap-3143	7	13	computation	computation	NOUN
ap-3143	7	14	with	with	ADP
ap-3143	7	15	usage	usage	NOUN
ap-3143	7	16	of	of	ADP
ap-3143	7	17	the	the	DET
ap-3143	7	18	ray	ray	NOUN
ap-3143	7	19	tracing	trace	VERB
ap-3143	7	20	algorithm	algorithm	NOUN
ap-3143	7	21	.	.	PUNCT
ap-3143	8	1	the	the	DET
ap-3143	8	2	numerical	numerical	ADJ
ap-3143	8	3	realization	realization	NOUN
ap-3143	8	4	of	of	ADP
ap-3143	8	5	the	the	DET
ap-3143	8	6	proposed	propose	VERB
ap-3143	8	7	method	method	NOUN
ap-3143	8	8	requires	require	VERB
ap-3143	8	9	an	an	DET
ap-3143	8	10	accurate	accurate	ADJ
ap-3143	8	11	creation	creation	NOUN
ap-3143	8	12	of	of	ADP
ap-3143	8	13	a	a	DET
ap-3143	8	14	numerical	numerical	ADJ
ap-3143	8	15	mesh	mesh	NOUN
ap-3143	8	16	.	.	PUNCT
ap-3143	9	1	the	the	DET
ap-3143	9	2	best	good	ADJ
ap-3143	9	3	results	result	NOUN
ap-3143	9	4	in	in	ADP
ap-3143	9	5	terms	term	NOUN
ap-3143	9	6	of	of	ADP
ap-3143	9	7	accuracy	accuracy	NOUN
ap-3143	9	8	of	of	ADP
ap-3143	9	9	determination	determination	NOUN
ap-3143	9	10	the	the	DET
ap-3143	9	11	scope	scope	NOUN
ap-3143	9	12	of	of	ADP
ap-3143	9	13	the	the	DET
ap-3143	9	14	source	source	NOUN
ap-3143	9	15	can	can	AUX
ap-3143	9	16	be	be	AUX
ap-3143	9	17	expected	expect	VERB
ap-3143	9	18	when	when	SCONJ
ap-3143	9	19	applying	apply	VERB
ap-3143	9	20	adaptive	adaptive	ADJ
ap-3143	9	21	tunable	tunable	ADJ
ap-3143	9	22	meshes	mesh	NOUN
ap-3143	9	23	.	.	PUNCT
ap-3143	10	1	in	in	ADP
ap-3143	10	2	case	case	NOUN
ap-3143	10	3	of	of	ADP
ap-3143	10	4	integration	integration	NOUN
ap-3143	10	5	of	of	ADP
ap-3143	10	6	the	the	DET
ap-3143	10	7	r	r	NOUN
ap-3143	10	8	-	-	PUNCT
ap-3143	10	9	functions	function	NOUN
ap-3143	10	10	into	into	ADP
ap-3143	10	11	the	the	DET
ap-3143	10	12	cad	cad	NOUN
ap-3143	10	13	system	system	NOUN
ap-3143	10	14	,	,	PUNCT
ap-3143	10	15	the	the	DET
ap-3143	10	16	use	use	NOUN
ap-3143	10	17	of	of	ADP
ap-3143	10	18	the	the	DET
ap-3143	10	19	proposed	propose	VERB
ap-3143	10	20	method	method	NOUN
ap-3143	10	21	would	would	AUX
ap-3143	10	22	be	be	AUX
ap-3143	10	23	simple	simple	ADJ
ap-3143	10	24	enough	enough	ADV
ap-3143	10	25	.	.	PUNCT
ap-3143	11	1	the	the	DET
ap-3143	11	2	proposed	propose	VERB
ap-3143	11	3	method	method	NOUN
ap-3143	11	4	allows	allow	VERB
ap-3143	11	5	to	to	PART
ap-3143	11	6	determine	determine	VERB
ap-3143	11	7	the	the	DET
ap-3143	11	8	range	range	NOUN
ap-3143	11	9	of	of	ADP
ap-3143	11	10	the	the	DET
ap-3143	11	11	source	source	NOUN
ap-3143	11	12	by	by	ADP
ap-3143	11	13	the	the	DET
ap-3143	11	14	expression	expression	NOUN
ap-3143	11	15	,	,	PUNCT
ap-3143	11	16	which	which	PRON
ap-3143	11	17	is	be	AUX
ap-3143	11	18	constructed	construct	VERB
ap-3143	11	19	only	only	ADV
ap-3143	11	20	once	once	ADV
ap-3143	11	21	for	for	ADP
ap-3143	11	22	the	the	DET
ap-3143	11	23	body	body	NOUN
ap-3143	11	24	and	and	CCONJ
ap-3143	11	25	the	the	DET
ap-3143	11	26	source	source	NOUN
ap-3143	11	27	of	of	ADP
ap-3143	11	28	arbitrary	arbitrary	ADJ
ap-3143	11	29	geometric	geometric	ADJ
ap-3143	11	30	shapes	shape	NOUN
ap-3143	11	31	moving	move	VERB
ap-3143	11	32	in	in	ADP
ap-3143	11	33	any	any	DET
ap-3143	11	34	law	law	NOUN
ap-3143	11	35	.	.	PUNCT
ap-3143	12	1	this	this	PRON
ap-3143	12	2	distinguishes	distinguish	VERB
ap-3143	12	3	the	the	DET
ap-3143	12	4	proposed	propose	VERB
ap-3143	12	5	approach	approach	NOUN
ap-3143	12	6	against	against	ADP
ap-3143	12	7	all	all	DET
ap-3143	12	8	known	know	VERB
ap-3143	12	9	algorithms	algorithm	NOUN
ap-3143	12	10	for	for	ADP
ap-3143	12	11	ray	ray	NOUN
ap-3143	12	12	tracing	tracing	NOUN
ap-3143	12	13	.	.	PUNCT
ap-3143	13	1	the	the	DET
ap-3143	13	2	proposed	propose	VERB
ap-3143	13	3	method	method	NOUN
ap-3143	13	4	can	can	AUX
ap-3143	13	5	also	also	ADV
ap-3143	13	6	be	be	AUX
ap-3143	13	7	used	use	VERB
ap-3143	13	8	for	for	ADP
ap-3143	13	9	time	time	NOUN
ap-3143	13	10	-	-	PUNCT
ap-3143	13	11	dependent	dependent	ADJ
ap-3143	13	12	multisource	multisource	NOUN
ap-3143	13	13	with	with	ADP
ap-3143	13	14	arbitrary	arbitrary	ADJ
ap-3143	13	15	shapes	shape	NOUN
ap-3143	13	16	,	,	PUNCT
ap-3143	13	17	which	which	PRON
ap-3143	13	18	move	move	VERB
ap-3143	13	19	in	in	ADP
ap-3143	13	20	different	different	ADJ
ap-3143	13	21	directions	direction	NOUN
ap-3143	13	22	.	.	PUNCT
ap-3143	14	1	keywords	keyword	NOUN
ap-3143	14	2	:	:	PUNCT
ap-3143	14	3	numerical	numerical	ADJ
ap-3143	14	4	methods	method	NOUN
ap-3143	14	5	;	;	PUNCT
ap-3143	14	6	moving	move	VERB
ap-3143	14	7	heat	heat	NOUN
ap-3143	14	8	sources	source	NOUN
ap-3143	14	9	;	;	PUNCT
ap-3143	14	10	ray	ray	NOUN
ap-3143	14	11	tracing	tracing	NOUN
ap-3143	14	12	;	;	PUNCT
ap-3143	14	13	r	r	NOUN
ap-3143	14	14	-	-	PUNCT
ap-3143	14	15	functions	function	NOUN
ap-3143	14	16	method	method	NOUN
ap-3143	14	17	.	.	PUNCT
ap-3143	15	1	1	1	X
ap-3143	15	2	.	.	X
ap-3143	15	3	introduction	introduction	NOUN
ap-3143	15	4	moving	move	VERB
ap-3143	15	5	body	body	NOUN
ap-3143	15	6	/	/	SYM
ap-3143	15	7	source	source	NOUN
ap-3143	15	8	heating	heating	NOUN
ap-3143	15	9	analysis	analysis	NOUN
ap-3143	15	10	has	have	VERB
ap-3143	15	11	an	an	DET
ap-3143	15	12	application	application	NOUN
ap-3143	15	13	in	in	ADP
ap-3143	15	14	several	several	ADJ
ap-3143	15	15	manufacturing	manufacturing	NOUN
ap-3143	15	16	processes	process	NOUN
ap-3143	15	17	[	[	X
ap-3143	15	18	1	1	NUM
ap-3143	15	19	,	,	PUNCT
ap-3143	15	20	2	2	NUM
ap-3143	15	21	]	]	PUNCT
ap-3143	15	22	.	.	PUNCT
ap-3143	16	1	in	in	ADP
ap-3143	16	2	most	most	ADV
ap-3143	16	3	well	well	ADV
ap-3143	16	4	-	-	PUNCT
ap-3143	16	5	known	know	VERB
ap-3143	16	6	studies	study	NOUN
ap-3143	16	7	,	,	PUNCT
ap-3143	16	8	in	in	ADP
ap-3143	16	9	this	this	DET
ap-3143	16	10	formulation	formulation	NOUN
ap-3143	16	11	,	,	PUNCT
ap-3143	16	12	the	the	DET
ap-3143	16	13	problem	problem	NOUN
ap-3143	16	14	is	be	AUX
ap-3143	16	15	considered	consider	VERB
ap-3143	16	16	for	for	ADP
ap-3143	16	17	a	a	DET
ap-3143	16	18	circular	circular	ADJ
ap-3143	16	19	heat	heat	NOUN
ap-3143	16	20	source	source	NOUN
ap-3143	16	21	,	,	PUNCT
ap-3143	16	22	which	which	PRON
ap-3143	16	23	moves	move	VERB
ap-3143	16	24	in	in	ADP
ap-3143	16	25	a	a	DET
ap-3143	16	26	straight	straight	ADJ
ap-3143	16	27	line	line	NOUN
ap-3143	16	28	[	[	X
ap-3143	16	29	3	3	NUM
ap-3143	16	30	,	,	PUNCT
ap-3143	16	31	4	4	NUM
ap-3143	16	32	]	]	PUNCT
ap-3143	16	33	.	.	PUNCT
ap-3143	17	1	however	however	ADV
ap-3143	17	2	,	,	PUNCT
ap-3143	17	3	there	there	PRON
ap-3143	17	4	are	be	VERB
ap-3143	17	5	papers	paper	NOUN
ap-3143	17	6	that	that	PRON
ap-3143	17	7	outline	outline	VERB
ap-3143	17	8	the	the	DET
ap-3143	17	9	temperature	temperature	NOUN
ap-3143	17	10	distribution	distribution	NOUN
ap-3143	17	11	in	in	ADP
ap-3143	17	12	a	a	DET
ap-3143	17	13	half	half	ADJ
ap-3143	17	14	-	-	PUNCT
ap-3143	17	15	space	space	NOUN
ap-3143	17	16	,	,	PUNCT
ap-3143	17	17	because	because	SCONJ
ap-3143	17	18	of	of	ADP
ap-3143	17	19	the	the	DET
ap-3143	17	20	complexity	complexity	NOUN
ap-3143	17	21	of	of	ADP
ap-3143	17	22	the	the	DET
ap-3143	17	23	shape	shape	NOUN
ap-3143	17	24	of	of	ADP
ap-3143	17	25	the	the	DET
ap-3143	17	26	moving	move	VERB
ap-3143	17	27	heat	heat	NOUN
ap-3143	17	28	source	source	NOUN
ap-3143	17	29	[	[	X
ap-3143	17	30	5	5	NUM
ap-3143	17	31	]	]	PUNCT
ap-3143	17	32	,	,	PUNCT
ap-3143	17	33	and	and	CCONJ
ap-3143	17	34	because	because	SCONJ
ap-3143	17	35	of	of	ADP
ap-3143	17	36	the	the	DET
ap-3143	17	37	fact	fact	NOUN
ap-3143	17	38	that	that	SCONJ
ap-3143	17	39	a	a	DET
ap-3143	17	40	heat	heat	NOUN
ap-3143	17	41	source	source	NOUN
ap-3143	17	42	moves	move	NOUN
ap-3143	17	43	according	accord	VERB
ap-3143	17	44	to	to	ADP
ap-3143	17	45	a	a	DET
ap-3143	17	46	more	more	ADV
ap-3143	17	47	complex	complex	ADJ
ap-3143	17	48	laws	law	NOUN
ap-3143	17	49	[	[	X
ap-3143	17	50	6	6	NUM
ap-3143	17	51	]	]	PUNCT
ap-3143	17	52	.	.	PUNCT
ap-3143	18	1	the	the	DET
ap-3143	18	2	problem	problem	NOUN
ap-3143	18	3	of	of	ADP
ap-3143	18	4	heating	heating	NOUN
ap-3143	18	5	bodies	body	NOUN
ap-3143	18	6	of	of	ADP
ap-3143	18	7	finite	finite	ADJ
ap-3143	18	8	dimensions	dimension	NOUN
ap-3143	18	9	by	by	ADP
ap-3143	18	10	moving	move	VERB
ap-3143	18	11	heat	heat	NOUN
ap-3143	18	12	sources	source	NOUN
ap-3143	18	13	is	be	AUX
ap-3143	18	14	considered	consider	VERB
ap-3143	18	15	in	in	ADP
ap-3143	18	16	fewer	few	ADJ
ap-3143	18	17	studies	study	NOUN
ap-3143	18	18	.	.	PUNCT
ap-3143	19	1	the	the	DET
ap-3143	19	2	objects	object	NOUN
ap-3143	19	3	of	of	ADP
ap-3143	19	4	the	the	DET
ap-3143	19	5	study	study	NOUN
ap-3143	19	6	are	be	AUX
ap-3143	19	7	likely	likely	ADJ
ap-3143	19	8	to	to	PART
ap-3143	19	9	be	be	AUX
ap-3143	19	10	the	the	DET
ap-3143	19	11	bodies	body	NOUN
ap-3143	19	12	of	of	ADP
ap-3143	19	13	simple	simple	ADJ
ap-3143	19	14	shapes	shape	NOUN
ap-3143	19	15	(	(	PUNCT
ap-3143	19	16	cylinder	cylinder	NOUN
ap-3143	19	17	or	or	CCONJ
ap-3143	19	18	parallelepipeds	parallelepiped	NOUN
ap-3143	19	19	)	)	PUNCT
ap-3143	19	20	.	.	PUNCT
ap-3143	20	1	for	for	ADP
ap-3143	20	2	example	example	NOUN
ap-3143	20	3	,	,	PUNCT
ap-3143	20	4	a	a	DET
ap-3143	20	5	number	number	NOUN
ap-3143	20	6	of	of	ADP
ap-3143	20	7	studies	study	NOUN
ap-3143	20	8	were	be	AUX
ap-3143	20	9	carried	carry	VERB
ap-3143	20	10	out	out	ADP
ap-3143	20	11	by	by	ADP
ap-3143	20	12	[	[	X
ap-3143	20	13	7	7	NUM
ap-3143	20	14	]	]	PUNCT
ap-3143	20	15	,	,	PUNCT
ap-3143	20	16	to	to	PART
ap-3143	20	17	investigate	investigate	VERB
ap-3143	20	18	the	the	DET
ap-3143	20	19	temperature	temperature	NOUN
ap-3143	20	20	distribution	distribution	NOUN
ap-3143	20	21	in	in	ADP
ap-3143	20	22	a	a	DET
ap-3143	20	23	rotating	rotate	VERB
ap-3143	20	24	cylinder	cylinder	NOUN
ap-3143	20	25	heated	heat	VERB
ap-3143	20	26	with	with	ADP
ap-3143	20	27	the	the	DET
ap-3143	20	28	laser	laser	NOUN
ap-3143	20	29	heat	heat	NOUN
ap-3143	20	30	source	source	NOUN
ap-3143	20	31	.	.	PUNCT
ap-3143	21	1	this	this	DET
ap-3143	21	2	problem	problem	NOUN
ap-3143	21	3	may	may	AUX
ap-3143	21	4	be	be	AUX
ap-3143	21	5	associated	associate	VERB
ap-3143	21	6	with	with	ADP
ap-3143	21	7	the	the	DET
ap-3143	21	8	calculation	calculation	NOUN
ap-3143	21	9	of	of	ADP
ap-3143	21	10	laser	laser	NOUN
ap-3143	21	11	hardening	harden	VERB
ap-3143	21	12	regimes	regime	NOUN
ap-3143	21	13	,	,	PUNCT
ap-3143	21	14	laser	laser	NOUN
ap-3143	21	15	-	-	PUNCT
ap-3143	21	16	assisted	assist	VERB
ap-3143	21	17	machining	machining	NOUN
ap-3143	21	18	,	,	PUNCT
ap-3143	21	19	etc	etc	X
ap-3143	21	20	.	.	X
ap-3143	22	1	at	at	ADP
ap-3143	22	2	the	the	DET
ap-3143	22	3	same	same	ADJ
ap-3143	22	4	time	time	NOUN
ap-3143	22	5	,	,	PUNCT
ap-3143	22	6	it	it	PRON
ap-3143	22	7	is	be	AUX
ap-3143	22	8	necessary	necessary	ADJ
ap-3143	22	9	to	to	PART
ap-3143	22	10	calculate	calculate	VERB
ap-3143	22	11	the	the	DET
ap-3143	22	12	temperature	temperature	NOUN
ap-3143	22	13	of	of	ADP
ap-3143	22	14	an	an	DET
ap-3143	22	15	arbitrary	arbitrary	ADJ
ap-3143	22	16	shaped	shaped	ADJ
ap-3143	22	17	body	body	NOUN
ap-3143	22	18	caused	cause	VERB
ap-3143	22	19	by	by	ADP
ap-3143	22	20	heating	heating	NOUN
ap-3143	22	21	of	of	ADP
ap-3143	22	22	a	a	DET
ap-3143	22	23	moving	move	VERB
ap-3143	22	24	heat	heat	NOUN
ap-3143	22	25	source	source	NOUN
ap-3143	22	26	.	.	PUNCT
ap-3143	23	1	the	the	DET
ap-3143	23	2	law	law	NOUN
ap-3143	23	3	of	of	ADP
ap-3143	23	4	motion	motion	NOUN
ap-3143	23	5	and	and	CCONJ
ap-3143	23	6	the	the	DET
ap-3143	23	7	shape	shape	NOUN
ap-3143	23	8	of	of	ADP
ap-3143	23	9	the	the	DET
ap-3143	23	10	heat	heat	NOUN
ap-3143	23	11	source	source	NOUN
ap-3143	23	12	can	can	AUX
ap-3143	23	13	be	be	AUX
ap-3143	23	14	quite	quite	ADV
ap-3143	23	15	complex	complex	ADJ
ap-3143	23	16	.	.	PUNCT
ap-3143	24	1	such	such	ADJ
ap-3143	24	2	problem	problem	NOUN
ap-3143	24	3	is	be	AUX
ap-3143	24	4	typical	typical	ADJ
ap-3143	24	5	for	for	ADP
ap-3143	24	6	cases	case	NOUN
ap-3143	24	7	,	,	PUNCT
ap-3143	24	8	when	when	SCONJ
ap-3143	24	9	body	body	NOUN
ap-3143	24	10	heat	heat	NOUN
ap-3143	24	11	happens	happen	VERB
ap-3143	24	12	because	because	SCONJ
ap-3143	24	13	of	of	ADP
ap-3143	24	14	an	an	DET
ap-3143	24	15	energy	energy	NOUN
ap-3143	24	16	flux	flux	NOUN
ap-3143	24	17	action	action	NOUN
ap-3143	24	18	(	(	PUNCT
ap-3143	24	19	radiation	radiation	NOUN
ap-3143	24	20	,	,	PUNCT
ap-3143	24	21	heating	heating	NOUN
ap-3143	24	22	,	,	PUNCT
ap-3143	24	23	laser	laser	NOUN
ap-3143	24	24	,	,	PUNCT
ap-3143	24	25	ion	ion	NOUN
ap-3143	24	26	or	or	CCONJ
ap-3143	24	27	electron	electron	NOUN
ap-3143	24	28	beam	beam	NOUN
ap-3143	24	29	processing	processing	NOUN
ap-3143	24	30	)	)	PUNCT
ap-3143	24	31	.	.	PUNCT
ap-3143	25	1	in	in	ADP
ap-3143	25	2	this	this	DET
ap-3143	25	3	case	case	NOUN
ap-3143	25	4	,	,	PUNCT
ap-3143	25	5	the	the	DET
ap-3143	25	6	definition	definition	NOUN
ap-3143	25	7	of	of	ADP
ap-3143	25	8	the	the	DET
ap-3143	25	9	heated	heated	ADJ
ap-3143	25	10	area	area	NOUN
ap-3143	25	11	’s	’s	PART
ap-3143	25	12	borders	border	NOUN
ap-3143	25	13	is	be	AUX
ap-3143	25	14	a	a	DET
ap-3143	25	15	complicated	complicated	ADJ
ap-3143	25	16	problem	problem	NOUN
ap-3143	25	17	.	.	PUNCT
ap-3143	26	1	in	in	ADP
ap-3143	26	2	this	this	DET
ap-3143	26	3	paper	paper	NOUN
ap-3143	26	4	,	,	PUNCT
ap-3143	26	5	we	we	PRON
ap-3143	26	6	propose	propose	VERB
ap-3143	26	7	an	an	DET
ap-3143	26	8	analytical	analytical	ADJ
ap-3143	26	9	method	method	NOUN
ap-3143	26	10	for	for	ADP
ap-3143	26	11	the	the	DET
ap-3143	26	12	solution	solution	NOUN
ap-3143	26	13	of	of	ADP
ap-3143	26	14	this	this	DET
ap-3143	26	15	problem	problem	NOUN
ap-3143	26	16	by	by	ADP
ap-3143	26	17	using	use	VERB
ap-3143	26	18	the	the	DET
ap-3143	26	19	r	r	NOUN
ap-3143	26	20	-	-	PUNCT
ap-3143	26	21	functions	function	NOUN
ap-3143	26	22	.	.	PUNCT
ap-3143	27	1	the	the	DET
ap-3143	27	2	geometric	geometric	ADJ
ap-3143	27	3	shapes	shape	NOUN
ap-3143	27	4	of	of	ADP
ap-3143	27	5	the	the	DET
ap-3143	27	6	body	body	NOUN
ap-3143	27	7	,	,	PUNCT
ap-3143	27	8	the	the	DET
ap-3143	27	9	source	source	NOUN
ap-3143	27	10	and	and	CCONJ
ap-3143	27	11	the	the	DET
ap-3143	27	12	law	law	NOUN
ap-3143	27	13	and	and	CCONJ
ap-3143	27	14	their	their	PRON
ap-3143	27	15	relative	relative	ADJ
ap-3143	27	16	motion	motion	NOUN
ap-3143	27	17	can	can	AUX
ap-3143	27	18	be	be	AUX
ap-3143	27	19	arbitrary	arbitrary	ADJ
ap-3143	27	20	.	.	PUNCT
ap-3143	28	1	after	after	ADP
ap-3143	28	2	definition	definition	NOUN
ap-3143	28	3	of	of	ADP
ap-3143	28	4	the	the	DET
ap-3143	28	5	action	action	NOUN
ap-3143	28	6	zone	zone	NOUN
ap-3143	28	7	of	of	ADP
ap-3143	28	8	the	the	DET
ap-3143	28	9	heat	heat	NOUN
ap-3143	28	10	source	source	NOUN
ap-3143	28	11	,	,	PUNCT
ap-3143	28	12	the	the	DET
ap-3143	28	13	further	further	ADJ
ap-3143	28	14	temperature	temperature	NOUN
ap-3143	28	15	calculation	calculation	NOUN
ap-3143	28	16	was	be	AUX
ap-3143	28	17	determined	determine	VERB
ap-3143	28	18	numerically	numerically	ADV
ap-3143	28	19	by	by	ADP
ap-3143	28	20	a	a	DET
ap-3143	28	21	finite	finite	ADJ
ap-3143	28	22	element	element	NOUN
ap-3143	28	23	method	method	NOUN
ap-3143	28	24	.	.	PUNCT
ap-3143	29	1	2	2	X
ap-3143	29	2	.	.	X
ap-3143	29	3	mathematical	mathematical	ADJ
ap-3143	29	4	formulation	formulation	NOUN
ap-3143	29	5	the	the	DET
ap-3143	29	6	problem	problem	NOUN
ap-3143	29	7	with	with	ADP
ap-3143	29	8	determining	determine	VERB
ap-3143	29	9	the	the	DET
ap-3143	29	10	action	action	NOUN
ap-3143	29	11	zone	zone	NOUN
ap-3143	29	12	of	of	ADP
ap-3143	29	13	the	the	DET
ap-3143	29	14	moving	move	VERB
ap-3143	29	15	heat	heat	NOUN
ap-3143	29	16	source	source	NOUN
ap-3143	29	17	is	be	AUX
ap-3143	29	18	very	very	ADV
ap-3143	29	19	similar	similar	ADJ
ap-3143	29	20	to	to	ADP
ap-3143	29	21	the	the	DET
ap-3143	29	22	problem	problem	NOUN
ap-3143	29	23	with	with	ADP
ap-3143	29	24	determining	determine	VERB
ap-3143	29	25	the	the	DET
ap-3143	29	26	shadow	shadow	NOUN
ap-3143	29	27	zones	zone	NOUN
ap-3143	29	28	location	location	NOUN
ap-3143	29	29	that	that	PRON
ap-3143	29	30	is	be	AUX
ap-3143	29	31	typical	typical	ADJ
ap-3143	29	32	to	to	ADP
ap-3143	29	33	computer	computer	NOUN
ap-3143	29	34	graphics	graphic	NOUN
ap-3143	29	35	..	..	PUNCT
ap-3143	29	36	beginning	begin	VERB
ap-3143	29	37	with	with	ADP
ap-3143	29	38	the	the	DET
ap-3143	29	39	studies	study	NOUN
ap-3143	29	40	[	[	X
ap-3143	29	41	8	8	NUM
ap-3143	29	42	,	,	PUNCT
ap-3143	29	43	9	9	NUM
ap-3143	29	44	]	]	PUNCT
ap-3143	29	45	such	such	ADJ
ap-3143	29	46	problems	problem	NOUN
ap-3143	29	47	are	be	AUX
ap-3143	29	48	solved	solve	VERB
ap-3143	29	49	by	by	ADP
ap-3143	29	50	different	different	ADJ
ap-3143	29	51	algorithms	algorithm	NOUN
ap-3143	29	52	of	of	ADP
ap-3143	29	53	ray	ray	NOUN
ap-3143	29	54	tracing	tracing	NOUN
ap-3143	29	55	.	.	PUNCT
ap-3143	30	1	it	it	PRON
ap-3143	30	2	required	require	VERB
ap-3143	30	3	creating	create	VERB
ap-3143	30	4	a	a	DET
ap-3143	30	5	lot	lot	NOUN
ap-3143	30	6	of	of	ADP
ap-3143	30	7	rays	ray	NOUN
ap-3143	30	8	from	from	ADP
ap-3143	30	9	points	point	NOUN
ap-3143	30	10	of	of	ADP
ap-3143	30	11	the	the	DET
ap-3143	30	12	body	body	NOUN
ap-3143	30	13	surface	surface	NOUN
ap-3143	30	14	in	in	ADP
ap-3143	30	15	the	the	DET
ap-3143	30	16	direction	direction	NOUN
ap-3143	30	17	of	of	ADP
ap-3143	30	18	the	the	DET
ap-3143	30	19	radiation	radiation	NOUN
ap-3143	30	20	source	source	NOUN
ap-3143	30	21	.	.	PUNCT
ap-3143	31	1	these	these	DET
ap-3143	31	2	tasks	task	NOUN
ap-3143	31	3	require	require	VERB
ap-3143	31	4	large	large	ADJ
ap-3143	31	5	amount	amount	NOUN
ap-3143	31	6	of	of	ADP
ap-3143	31	7	computations	computation	NOUN
ap-3143	31	8	.	.	PUNCT
ap-3143	32	1	at	at	ADP
ap-3143	32	2	the	the	DET
ap-3143	32	3	same	same	ADJ
ap-3143	32	4	time	time	NOUN
ap-3143	32	5	,	,	PUNCT
ap-3143	32	6	for	for	ADP
ap-3143	32	7	complex	complex	ADJ
ap-3143	32	8	shape	shape	NOUN
ap-3143	32	9	bodies	body	NOUN
ap-3143	32	10	,	,	PUNCT
ap-3143	32	11	the	the	DET
ap-3143	32	12	precise	precise	ADJ
ap-3143	32	13	definition	definition	NOUN
ap-3143	32	14	of	of	ADP
ap-3143	32	15	the	the	DET
ap-3143	32	16	shaded	shaded	ADJ
ap-3143	32	17	area	area	NOUN
ap-3143	32	18	is	be	AUX
ap-3143	32	19	associated	associate	VERB
ap-3143	32	20	with	with	ADP
ap-3143	32	21	considerable	considerable	ADJ
ap-3143	32	22	difficulties	difficulty	NOUN
ap-3143	32	23	in	in	ADP
ap-3143	32	24	case	case	NOUN
ap-3143	32	25	of	of	ADP
ap-3143	32	26	the	the	DET
ap-3143	32	27	moving	move	VERB
ap-3143	32	28	sources	source	NOUN
ap-3143	32	29	,	,	PUNCT
ap-3143	32	30	which	which	PRON
ap-3143	32	31	change	change	VERB
ap-3143	32	32	the	the	DET
ap-3143	32	33	intensity	intensity	NOUN
ap-3143	32	34	of	of	ADP
ap-3143	32	35	the	the	DET
ap-3143	32	36	radiation	radiation	NOUN
ap-3143	32	37	.	.	PUNCT
ap-3143	33	1	we	we	PRON
ap-3143	33	2	assume	assume	VERB
ap-3143	33	3	that	that	SCONJ
ap-3143	33	4	the	the	DET
ap-3143	33	5	geometry	geometry	NOUN
ap-3143	33	6	of	of	ADP
ap-3143	33	7	the	the	DET
ap-3143	33	8	source	source	NOUN
ap-3143	33	9	and	and	CCONJ
ap-3143	33	10	the	the	DET
ap-3143	33	11	body	body	NOUN
ap-3143	33	12	is	be	AUX
ap-3143	33	13	known	know	VERB
ap-3143	33	14	.	.	PUNCT
ap-3143	34	1	it	it	PRON
ap-3143	34	2	can	can	AUX
ap-3143	34	3	be	be	AUX
ap-3143	34	4	independent	independent	ADJ
ap-3143	34	5	of	of	ADP
ap-3143	34	6	time	time	NOUN
ap-3143	34	7	,	,	PUNCT
ap-3143	34	8	472	472	NUM
ap-3143	34	9	http://dx.doi.org/10.14311/ap.2016.56.0472	http://dx.doi.org/10.14311/ap.2016.56.0472	AUX
ap-3143	34	10	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	NOUN
ap-3143	34	11	vol	vol	NOUN
ap-3143	34	12	.	.	PUNCT
ap-3143	35	1	56	56	NUM
ap-3143	35	2	no	no	NOUN
ap-3143	35	3	.	.	PUNCT
ap-3143	36	1	6/2016	6/2016	NUM
ap-3143	36	2	simulation	simulation	NOUN
ap-3143	36	3	of	of	ADP
ap-3143	36	4	surface	surface	NOUN
ap-3143	36	5	heating	heating	NOUN
ap-3143	36	6	figure	figure	NOUN
ap-3143	36	7	1	1	NUM
ap-3143	36	8	.	.	PUNCT
ap-3143	36	9	description	description	NOUN
ap-3143	36	10	of	of	ADP
ap-3143	36	11	geometric	geometric	ADJ
ap-3143	36	12	shapes	shape	NOUN
ap-3143	36	13	with	with	ADP
ap-3143	36	14	rfunctions	rfunction	NOUN
ap-3143	36	15	.	.	PUNCT
ap-3143	36	16	or	or	CCONJ
ap-3143	36	17	change	change	VERB
ap-3143	36	18	according	accord	VERB
ap-3143	36	19	to	to	ADP
ap-3143	36	20	the	the	DET
ap-3143	36	21	known	know	VERB
ap-3143	36	22	law	law	NOUN
ap-3143	36	23	.	.	PUNCT
ap-3143	37	1	the	the	DET
ap-3143	37	2	source	source	NOUN
ap-3143	37	3	intensity	intensity	NOUN
ap-3143	37	4	is	be	AUX
ap-3143	37	5	able	able	ADJ
ap-3143	37	6	to	to	PART
ap-3143	37	7	change	change	VERB
ap-3143	37	8	arbitrary	arbitrary	ADJ
ap-3143	37	9	on	on	ADP
ap-3143	37	10	time	time	NOUN
ap-3143	37	11	and	and	CCONJ
ap-3143	37	12	on	on	ADP
ap-3143	37	13	its	its	PRON
ap-3143	37	14	cross	cross	NOUN
ap-3143	37	15	section	section	NOUN
ap-3143	37	16	.	.	PUNCT
ap-3143	38	1	the	the	DET
ap-3143	38	2	law	law	NOUN
ap-3143	38	3	of	of	ADP
ap-3143	38	4	the	the	DET
ap-3143	38	5	source	source	NOUN
ap-3143	38	6	movement	movement	NOUN
ap-3143	38	7	is	be	AUX
ap-3143	38	8	also	also	ADV
ap-3143	38	9	known	know	VERB
ap-3143	38	10	.	.	PUNCT
ap-3143	39	1	solution	solution	NOUN
ap-3143	39	2	of	of	ADP
ap-3143	39	3	the	the	DET
ap-3143	39	4	problem	problem	NOUN
ap-3143	39	5	is	be	AUX
ap-3143	39	6	reduced	reduce	VERB
ap-3143	39	7	to	to	ADP
ap-3143	39	8	the	the	DET
ap-3143	39	9	construction	construction	NOUN
ap-3143	39	10	of	of	ADP
ap-3143	39	11	a	a	DET
ap-3143	39	12	switch	switch	NOUN
ap-3143	39	13	-	-	PUNCT
ap-3143	39	14	function	function	NOUN
ap-3143	39	15	,	,	PUNCT
ap-3143	39	16	which	which	PRON
ap-3143	39	17	would	would	AUX
ap-3143	39	18	be	be	AUX
ap-3143	39	19	equal	equal	ADJ
ap-3143	39	20	to	to	ADP
ap-3143	39	21	1	1	NUM
ap-3143	39	22	on	on	ADP
ap-3143	39	23	the	the	DET
ap-3143	39	24	heated	heated	ADJ
ap-3143	39	25	surface	surface	NOUN
ap-3143	39	26	and	and	CCONJ
ap-3143	39	27	to	to	ADP
ap-3143	39	28	0	0	NUM
ap-3143	39	29	on	on	ADP
ap-3143	39	30	the	the	DET
ap-3143	39	31	rest	rest	NOUN
ap-3143	39	32	of	of	ADP
ap-3143	39	33	the	the	DET
ap-3143	39	34	surface	surface	NOUN
ap-3143	39	35	of	of	ADP
ap-3143	39	36	the	the	DET
ap-3143	39	37	part	part	NOUN
ap-3143	39	38	.	.	PUNCT
ap-3143	40	1	for	for	ADP
ap-3143	40	2	this	this	DET
ap-3143	40	3	purpose	purpose	NOUN
ap-3143	40	4	,	,	PUNCT
ap-3143	40	5	it	it	PRON
ap-3143	40	6	is	be	AUX
ap-3143	40	7	enough	enough	ADJ
ap-3143	40	8	to	to	PART
ap-3143	40	9	create	create	VERB
ap-3143	40	10	a	a	DET
ap-3143	40	11	function	function	NOUN
ap-3143	40	12	that	that	PRON
ap-3143	40	13	has	have	VERB
ap-3143	40	14	the	the	DET
ap-3143	40	15	following	follow	VERB
ap-3143	40	16	properties:	properties:	NOUN
ap-3143	40	17	ω(x	ω(x	NOUN
ap-3143	40	18	,	,	PUNCT
ap-3143	40	19	y	y	PROPN
ap-3143	40	20	,	,	PUNCT
ap-3143	40	21	z	z	PROPN
ap-3143	40	22	,	,	PUNCT
ap-3143	40	23	t	t	PROPN
ap-3143	40	24	)	)	PUNCT
ap-3143	40	25	>	>	X
ap-3143	41	1	0	0	PUNCT
ap-3143	42	1	inside	inside	ADP
ap-3143	42	2	the	the	DET
ap-3143	42	3	heated	heated	ADJ
ap-3143	42	4	surface	surface	NOUN
ap-3143	42	5	part	part	NOUN
ap-3143	42	6	,	,	PUNCT
ap-3143	42	7	ω(x	ω(x	PROPN
ap-3143	42	8	,	,	PUNCT
ap-3143	42	9	y	y	PROPN
ap-3143	42	10	,	,	PUNCT
ap-3143	42	11	z	z	PROPN
ap-3143	42	12	,	,	PUNCT
ap-3143	42	13	t	t	PROPN
ap-3143	42	14	)	)	PUNCT
ap-3143	42	15	=	=	SYM
ap-3143	42	16	0	0	NUM
ap-3143	42	17	on	on	ADP
ap-3143	42	18	the	the	DET
ap-3143	42	19	border	border	NOUN
ap-3143	42	20	of	of	ADP
ap-3143	42	21	the	the	DET
ap-3143	42	22	heated	heated	ADJ
ap-3143	42	23	surface	surface	NOUN
ap-3143	42	24	part	part	NOUN
ap-3143	42	25	,	,	PUNCT
ap-3143	42	26	ω(x	ω(x	PROPN
ap-3143	42	27	,	,	PUNCT
ap-3143	42	28	y	y	PROPN
ap-3143	42	29	,	,	PUNCT
ap-3143	42	30	z	z	PROPN
ap-3143	42	31	,	,	PUNCT
ap-3143	42	32	t	t	PROPN
ap-3143	42	33	)	)	PUNCT
ap-3143	42	34	<	<	X
ap-3143	42	35	0	0	NUM
ap-3143	42	36	ouside	ouside	NOUN
ap-3143	42	37	the	the	DET
ap-3143	42	38	heeated	heeate	VERB
ap-3143	42	39	surface	surface	NOUN
ap-3143	42	40	part	part	NOUN
ap-3143	42	41	.	.	PUNCT
ap-3143	43	1	(	(	PUNCT
ap-3143	43	2	1	1	X
ap-3143	43	3	)	)	PUNCT
ap-3143	43	4	such	such	ADJ
ap-3143	43	5	relation	relation	NOUN
ap-3143	43	6	can	can	AUX
ap-3143	43	7	be	be	AUX
ap-3143	43	8	described	describe	VERB
ap-3143	43	9	using	use	VERB
ap-3143	43	10	the	the	DET
ap-3143	43	11	rfunctions	rfunction	NOUN
ap-3143	43	12	[	[	X
ap-3143	43	13	10	10	NUM
ap-3143	43	14	]	]	PUNCT
ap-3143	43	15	.	.	PUNCT
ap-3143	44	1	the	the	DET
ap-3143	44	2	r	r	NOUN
ap-3143	44	3	-	-	PUNCT
ap-3143	44	4	function	function	NOUN
ap-3143	44	5	method	method	NOUN
ap-3143	44	6	was	be	AUX
ap-3143	44	7	developed	develop	VERB
ap-3143	44	8	as	as	ADP
ap-3143	44	9	an	an	DET
ap-3143	44	10	improvement	improvement	NOUN
ap-3143	44	11	of	of	ADP
ap-3143	44	12	ritz	ritz	PROPN
ap-3143	44	13	methods	method	NOUN
ap-3143	44	14	for	for	ADP
ap-3143	44	15	solving	solve	VERB
ap-3143	44	16	boundary	boundary	ADJ
ap-3143	44	17	-	-	PUNCT
ap-3143	44	18	value	value	NOUN
ap-3143	44	19	problems	problem	NOUN
ap-3143	44	20	.	.	PUNCT
ap-3143	45	1	it	it	PRON
ap-3143	45	2	is	be	AUX
ap-3143	45	3	known	know	VERB
ap-3143	45	4	for	for	ADP
ap-3143	45	5	its	its	PRON
ap-3143	45	6	utilization	utilization	NOUN
ap-3143	45	7	of	of	ADP
ap-3143	45	8	solving	solve	VERB
ap-3143	45	9	the	the	DET
ap-3143	45	10	heat	heat	NOUN
ap-3143	45	11	conduction	conduction	NOUN
ap-3143	45	12	problems	problem	NOUN
ap-3143	45	13	in	in	ADP
ap-3143	45	14	[	[	X
ap-3143	45	15	11	11	NUM
ap-3143	45	16	]	]	PUNCT
ap-3143	45	17	.	.	PUNCT
ap-3143	46	1	however	however	ADV
ap-3143	46	2	,	,	PUNCT
ap-3143	46	3	in	in	ADP
ap-3143	46	4	this	this	DET
ap-3143	46	5	paper	paper	NOUN
ap-3143	46	6	it	it	PRON
ap-3143	46	7	will	will	AUX
ap-3143	46	8	be	be	AUX
ap-3143	46	9	used	use	VERB
ap-3143	46	10	only	only	ADV
ap-3143	46	11	as	as	ADP
ap-3143	46	12	a	a	DET
ap-3143	46	13	tool	tool	NOUN
ap-3143	46	14	of	of	ADP
ap-3143	46	15	analytical	analytical	ADJ
ap-3143	46	16	geometry	geometry	NOUN
ap-3143	46	17	.	.	PUNCT
ap-3143	47	1	the	the	DET
ap-3143	47	2	r	r	NOUN
ap-3143	47	3	-	-	PUNCT
ap-3143	47	4	functions	function	NOUN
ap-3143	47	5	are	be	AUX
ap-3143	47	6	functions	function	NOUN
ap-3143	47	7	of	of	ADP
ap-3143	47	8	continuous	continuous	ADJ
ap-3143	47	9	real	real	ADJ
ap-3143	47	10	arguments	argument	NOUN
ap-3143	47	11	.	.	PUNCT
ap-3143	48	1	their	their	PRON
ap-3143	48	2	sign	sign	NOUN
ap-3143	48	3	is	be	AUX
ap-3143	48	4	determined	determine	VERB
ap-3143	48	5	by	by	ADP
ap-3143	48	6	the	the	DET
ap-3143	48	7	sign	sign	NOUN
ap-3143	48	8	of	of	ADP
ap-3143	48	9	the	the	DET
ap-3143	48	10	argument	argument	NOUN
ap-3143	48	11	.	.	PUNCT
ap-3143	49	1	if	if	SCONJ
ap-3143	49	2	,	,	PUNCT
ap-3143	49	3	instead	instead	ADV
ap-3143	49	4	the	the	DET
ap-3143	49	5	sign	sign	NOUN
ap-3143	49	6	of	of	ADP
ap-3143	49	7	the	the	DET
ap-3143	49	8	“	"	PUNCT
ap-3143	49	9	+	+	NOUN
ap-3143	49	10	”	"	PUNCT
ap-3143	49	11	and	and	CCONJ
ap-3143	49	12	“	"	PUNCT
ap-3143	49	13	−	−	PROPN
ap-3143	49	14	”	"	PUNCT
ap-3143	49	15	,	,	PUNCT
ap-3143	49	16	we	we	PRON
ap-3143	49	17	use	use	VERB
ap-3143	49	18	the	the	DET
ap-3143	49	19	values	value	NOUN
ap-3143	49	20	0	0	PUNCT
ap-3143	49	21	and	and	CCONJ
ap-3143	49	22	1	1	NUM
ap-3143	49	23	,	,	PUNCT
ap-3143	49	24	r	r	NOUN
ap-3143	49	25	-	-	PUNCT
ap-3143	49	26	functions	function	NOUN
ap-3143	49	27	are	be	AUX
ap-3143	49	28	equivalent	equivalent	ADJ
ap-3143	49	29	to	to	ADP
ap-3143	49	30	some	some	DET
ap-3143	49	31	boolean	boolean	ADJ
ap-3143	49	32	logic	logic	NOUN
ap-3143	49	33	functions	function	NOUN
ap-3143	49	34	.	.	PUNCT
ap-3143	50	1	boolean	boolean	ADJ
ap-3143	50	2	function	function	NOUN
ap-3143	50	3	equivalent	equivalent	ADJ
ap-3143	50	4	to	to	ADP
ap-3143	50	5	a	a	DET
ap-3143	50	6	particular	particular	ADJ
ap-3143	50	7	r	r	NOUN
ap-3143	50	8	-	-	PUNCT
ap-3143	50	9	function	function	NOUN
ap-3143	50	10	,	,	PUNCT
ap-3143	50	11	called	call	VERB
ap-3143	50	12	the	the	DET
ap-3143	50	13	companion	companion	NOUN
ap-3143	50	14	function	function	NOUN
ap-3143	50	15	.	.	PUNCT
ap-3143	51	1	almost	almost	ADV
ap-3143	51	2	in	in	ADP
ap-3143	51	3	every	every	DET
ap-3143	51	4	cad	cad	NOUN
ap-3143	51	5	system	system	NOUN
ap-3143	51	6	,	,	PUNCT
ap-3143	51	7	a	a	DET
ap-3143	51	8	geometric	geometric	ADJ
ap-3143	51	9	shape	shape	NOUN
ap-3143	51	10	of	of	ADP
ap-3143	51	11	a	a	DET
ap-3143	51	12	complex	complex	ADJ
ap-3143	51	13	object	object	NOUN
ap-3143	51	14	is	be	AUX
ap-3143	51	15	created	create	VERB
ap-3143	51	16	by	by	ADP
ap-3143	51	17	using	use	VERB
ap-3143	51	18	boolean	boolean	ADJ
ap-3143	51	19	operations	operation	NOUN
ap-3143	51	20	with	with	ADP
ap-3143	51	21	geometric	geometric	ADJ
ap-3143	51	22	primitives	primitive	NOUN
ap-3143	51	23	.	.	PUNCT
ap-3143	52	1	these	these	DET
ap-3143	52	2	primitives	primitive	NOUN
ap-3143	52	3	can	can	AUX
ap-3143	52	4	be	be	AUX
ap-3143	52	5	defined	define	VERB
ap-3143	52	6	by	by	ADP
ap-3143	52	7	algebraic	algebraic	ADJ
ap-3143	52	8	equations	equation	NOUN
ap-3143	52	9	or	or	CCONJ
ap-3143	52	10	inequalities	inequality	NOUN
ap-3143	52	11	.	.	PUNCT
ap-3143	53	1	for	for	ADP
ap-3143	53	2	example	example	NOUN
ap-3143	53	3	,	,	PUNCT
ap-3143	53	4	inequality	inequality	NOUN
ap-3143	53	5	ω1	ω1	PROPN
ap-3143	53	6	=	=	SYM
ap-3143	53	7	(	(	PUNCT
ap-3143	53	8	r2	r2	PROPN
ap-3143	53	9	−	−	PROPN
ap-3143	54	1	x2	x2	PROPN
ap-3143	55	1	−	−	PROPN
ap-3143	55	2	y2	y2	PROPN
ap-3143	55	3	≥	≥	NOUN
ap-3143	55	4	0	0	NUM
ap-3143	55	5	)	)	PUNCT
ap-3143	55	6	in	in	ADP
ap-3143	55	7	the	the	DET
ap-3143	55	8	plane	plane	NOUN
ap-3143	55	9	x0y	x0y	PUNCT
ap-3143	55	10	defines	define	VERB
ap-3143	55	11	a	a	DET
ap-3143	55	12	circle	circle	NOUN
ap-3143	55	13	of	of	ADP
ap-3143	55	14	radius	radius	NOUN
ap-3143	55	15	r	r	NOUN
ap-3143	55	16	centered	center	VERB
ap-3143	55	17	at	at	ADP
ap-3143	55	18	the	the	DET
ap-3143	55	19	origin	origin	NOUN
ap-3143	55	20	.	.	PUNCT
ap-3143	56	1	it	it	PRON
ap-3143	56	2	is	be	AUX
ap-3143	56	3	proved	prove	VERB
ap-3143	56	4	by	by	ADP
ap-3143	56	5	[	[	X
ap-3143	56	6	12	12	NUM
ap-3143	56	7	]	]	PUNCT
ap-3143	56	8	that	that	SCONJ
ap-3143	56	9	if	if	SCONJ
ap-3143	56	10	the	the	DET
ap-3143	56	11	geometry	geometry	NOUN
ap-3143	56	12	of	of	ADP
ap-3143	56	13	the	the	DET
ap-3143	56	14	complex	complex	ADJ
ap-3143	56	15	object	object	NOUN
ap-3143	56	16	is	be	AUX
ap-3143	56	17	created	create	VERB
ap-3143	56	18	by	by	ADP
ap-3143	56	19	using	use	VERB
ap-3143	56	20	boolean	boolean	ADJ
ap-3143	56	21	operations	operation	NOUN
ap-3143	56	22	(	(	PUNCT
ap-3143	56	23	∨,∧,¬	∨,∧,¬	PROPN
ap-3143	56	24	)	)	PUNCT
ap-3143	56	25	with	with	ADP
ap-3143	56	26	geometric	geometric	ADJ
ap-3143	56	27	primitives	primitive	NOUN
ap-3143	56	28	which	which	PRON
ap-3143	56	29	are	be	AUX
ap-3143	56	30	described	describe	VERB
ap-3143	56	31	by	by	ADP
ap-3143	56	32	the	the	DET
ap-3143	56	33	inequalities	inequality	NOUN
ap-3143	56	34	ωi	ωi	X
ap-3143	56	35	≥	≥	PROPN
ap-3143	56	36	0	0	NUM
ap-3143	56	37	,	,	PUNCT
ap-3143	56	38	the	the	DET
ap-3143	56	39	replacement	replacement	NOUN
ap-3143	56	40	of	of	ADP
ap-3143	56	41	companion	companion	NOUN
ap-3143	56	42	boolean	boolean	ADJ
ap-3143	56	43	function	function	NOUN
ap-3143	56	44	with	with	ADP
ap-3143	56	45	r	r	NOUN
ap-3143	56	46	-	-	PUNCT
ap-3143	56	47	functions	function	NOUN
ap-3143	56	48	,	,	PUNCT
ap-3143	56	49	alfigure	alfigure	NOUN
ap-3143	56	50	2	2	NUM
ap-3143	56	51	.	.	PUNCT
ap-3143	56	52	definition	definition	NOUN
ap-3143	56	53	of	of	ADP
ap-3143	56	54	shadow	shadow	NOUN
ap-3143	56	55	zones	zone	NOUN
ap-3143	56	56	.	.	PUNCT
ap-3143	57	1	lows	low	NOUN
ap-3143	57	2	to	to	PART
ap-3143	57	3	obtain	obtain	VERB
ap-3143	57	4	the	the	DET
ap-3143	57	5	inequality	inequality	NOUN
ap-3143	57	6	ω	ω	NOUN
ap-3143	57	7	=	=	SYM
ap-3143	57	8	f(ω1	f(ω1	NOUN
ap-3143	57	9	,	,	PUNCT
ap-3143	57	10	.	.	PUNCT
ap-3143	57	11	.	.	PUNCT
ap-3143	57	12	.	.	PUNCT
ap-3143	58	1	,	,	PUNCT
ap-3143	58	2	ωn	ωn	X
ap-3143	58	3	)	)	PUNCT
ap-3143	58	4	≥	≥	NOUN
ap-3143	58	5	0	0	NUM
ap-3143	58	6	,	,	PUNCT
ap-3143	58	7	with	with	ADP
ap-3143	58	8	the	the	DET
ap-3143	58	9	properties	property	NOUN
ap-3143	58	10	(	(	PUNCT
ap-3143	58	11	1	1	NUM
ap-3143	58	12	)	)	PUNCT
ap-3143	58	13	.	.	PUNCT
ap-3143	59	1	the	the	DET
ap-3143	59	2	simplest	simple	ADJ
ap-3143	59	3	complete	complete	ADJ
ap-3143	59	4	system	system	NOUN
ap-3143	59	5	of	of	ADP
ap-3143	59	6	these	these	DET
ap-3143	59	7	r	r	NOUN
ap-3143	59	8	-	-	PUNCT
ap-3143	59	9	functions	function	NOUN
ap-3143	59	10	is	be	AUX
ap-3143	59	11	the	the	DET
ap-3143	59	12	following	follow	VERB
ap-3143	59	13	one	one	NUM
ap-3143	59	14	:	:	PUNCT
ap-3143	59	15	•	•	NUM
ap-3143	59	16	f	f	PROPN
ap-3143	59	17	≡	≡	PROPN
ap-3143	59	18	−f	−f	PROPN
ap-3143	59	19	(	(	PUNCT
ap-3143	59	20	logical	logical	ADJ
ap-3143	59	21	negation	negation	NOUN
ap-3143	59	22	)	)	PUNCT
ap-3143	59	23	;	;	PUNCT
ap-3143	59	24	•	•	NUM
ap-3143	59	25	f1	f1	NOUN
ap-3143	59	26	∧	∧	PROPN
ap-3143	59	27	f2	f2	ADJ
ap-3143	59	28	=	=	SYM
ap-3143	59	29	f1	f1	NOUN
ap-3143	59	30	+	+	CCONJ
ap-3143	59	31	f2	f2	PROPN
ap-3143	59	32	−	−	PROPN
ap-3143	59	33	√	√	SYM
ap-3143	59	34	f2	f2	PROPN
ap-3143	59	35	1	1	NUM
ap-3143	59	36	+	+	CCONJ
ap-3143	59	37	f2	f2	PROPN
ap-3143	59	38	2	2	NUM
ap-3143	59	39	(	(	PUNCT
ap-3143	59	40	logical	logical	ADJ
ap-3143	59	41	conjunction	conjunction	NOUN
ap-3143	59	42	)	)	PUNCT
ap-3143	59	43	;	;	PUNCT
ap-3143	59	44	•	•	NUM
ap-3143	59	45	f1	f1	PROPN
ap-3143	59	46	∨	∨	NUM
ap-3143	59	47	f2	f2	PROPN
ap-3143	59	48	=	=	SYM
ap-3143	59	49	f1	f1	PROPN
ap-3143	59	50	+	+	CCONJ
ap-3143	59	51	f2	f2	PROPN
ap-3143	59	52	+	+	NOUN
ap-3143	59	53	√	√	X
ap-3143	59	54	f2	f2	NUM
ap-3143	59	55	1	1	NUM
ap-3143	59	56	+	+	CCONJ
ap-3143	59	57	f2	f2	PROPN
ap-3143	59	58	2	2	NUM
ap-3143	59	59	(	(	PUNCT
ap-3143	59	60	logical	logical	ADJ
ap-3143	59	61	disjunction	disjunction	NOUN
ap-3143	59	62	)	)	PUNCT
ap-3143	59	63	.	.	PUNCT
ap-3143	60	1	let	let	VERB
ap-3143	60	2	it	it	PRON
ap-3143	60	3	be	be	AUX
ap-3143	60	4	required	require	VERB
ap-3143	60	5	to	to	PART
ap-3143	60	6	create	create	VERB
ap-3143	60	7	an	an	DET
ap-3143	60	8	expression	expression	NOUN
ap-3143	60	9	ω(x	ω(x	NOUN
ap-3143	60	10	,	,	PUNCT
ap-3143	60	11	y	y	NOUN
ap-3143	60	12	)	)	PUNCT
ap-3143	60	13	≥	≥	NOUN
ap-3143	60	14	0	0	NUM
ap-3143	60	15	for	for	ADP
ap-3143	60	16	the	the	DET
ap-3143	60	17	area	area	NOUN
ap-3143	60	18	which	which	PRON
ap-3143	60	19	is	be	AUX
ap-3143	60	20	shown	show	VERB
ap-3143	60	21	in	in	ADP
ap-3143	60	22	figure	figure	NOUN
ap-3143	60	23	1	1	NUM
ap-3143	60	24	.	.	PUNCT
ap-3143	61	1	as	as	ADP
ap-3143	61	2	geometric	geometric	ADJ
ap-3143	61	3	primitives	primitive	NOUN
ap-3143	61	4	,	,	PUNCT
ap-3143	61	5	the	the	DET
ap-3143	61	6	following	follow	VERB
ap-3143	61	7	items	item	NOUN
ap-3143	61	8	are	be	AUX
ap-3143	61	9	selected	select	VERB
ap-3143	61	10	:	:	PUNCT
ap-3143	61	11	ω1	ω1	PROPN
ap-3143	61	12	=(	=(	NOUN
ap-3143	61	13	1−	1−	NUM
ap-3143	61	14	|x	|x	PROPN
ap-3143	61	15	/	/	SYM
ap-3143	61	16	a|	a|	PROPN
ap-3143	61	17	−	−	PROPN
ap-3143	61	18	|y	|y	NOUN
ap-3143	61	19	/	/	SYM
ap-3143	61	20	b|	b|	ADJ
ap-3143	61	21	≥	≥	NOUN
ap-3143	61	22	0	0	NUM
ap-3143	61	23	)	)	PUNCT
ap-3143	61	24	–	–	PUNCT
ap-3143	61	25	the	the	DET
ap-3143	61	26	part	part	NOUN
ap-3143	61	27	of	of	ADP
ap-3143	61	28	the	the	DET
ap-3143	61	29	plane	plane	NOUN
ap-3143	61	30	inside	inside	ADP
ap-3143	61	31	a	a	DET
ap-3143	61	32	diamond	diamond	NOUN
ap-3143	61	33	with	with	ADP
ap-3143	61	34	vertices	vertex	NOUN
ap-3143	61	35	(	(	PUNCT
ap-3143	61	36	±a	±a	PROPN
ap-3143	61	37	,	,	PUNCT
ap-3143	61	38	0	0	NUM
ap-3143	61	39	)	)	PUNCT
ap-3143	61	40	,	,	PUNCT
ap-3143	61	41	(	(	PUNCT
ap-3143	61	42	0,±b	0,±b	NUM
ap-3143	61	43	)	)	PUNCT
ap-3143	61	44	;	;	PUNCT
ap-3143	62	1	ω2	ω2	NOUN
ap-3143	62	2	=	=	SYM
ap-3143	62	3	(	(	PUNCT
ap-3143	62	4	x2	x2	NOUN
ap-3143	62	5	+	+	CCONJ
ap-3143	62	6	y2	y2	PROPN
ap-3143	62	7	−	−	PROPN
ap-3143	62	8	r2	r2	PROPN
ap-3143	62	9	≥	≥	NOUN
ap-3143	62	10	0	0	NUM
ap-3143	62	11	)	)	PUNCT
ap-3143	62	12	–	–	PUNCT
ap-3143	62	13	the	the	DET
ap-3143	62	14	part	part	NOUN
ap-3143	62	15	of	of	ADP
ap-3143	62	16	the	the	DET
ap-3143	62	17	plane	plane	NOUN
ap-3143	62	18	outside	outside	ADP
ap-3143	62	19	of	of	ADP
ap-3143	62	20	the	the	DET
ap-3143	62	21	circle	circle	NOUN
ap-3143	62	22	with	with	ADP
ap-3143	62	23	radius	radius	NOUN
ap-3143	62	24	r	r	NOUN
ap-3143	62	25	centered	center	VERB
ap-3143	62	26	at	at	ADP
ap-3143	62	27	the	the	DET
ap-3143	62	28	origin	origin	NOUN
ap-3143	62	29	.	.	PUNCT
ap-3143	63	1	the	the	DET
ap-3143	63	2	shape	shape	NOUN
ap-3143	63	3	of	of	ADP
ap-3143	63	4	the	the	DET
ap-3143	63	5	region	region	NOUN
ap-3143	63	6	is	be	AUX
ap-3143	63	7	determined	determine	VERB
ap-3143	63	8	by	by	ADP
ap-3143	63	9	ω	ω	PROPN
ap-3143	63	10	=	=	SYM
ap-3143	63	11	ω1	ω1	PROPN
ap-3143	63	12	∧	∧	PROPN
ap-3143	63	13	ω2	ω2	PROPN
ap-3143	63	14	,	,	PUNCT
ap-3143	63	15	or	or	CCONJ
ap-3143	63	16	after	after	ADP
ap-3143	63	17	replacing	replace	VERB
ap-3143	63	18	the	the	DET
ap-3143	63	19	boolean	boolean	ADJ
ap-3143	63	20	operations	operation	NOUN
ap-3143	63	21	with	with	ADP
ap-3143	63	22	r	r	NOUN
ap-3143	63	23	-	-	PUNCT
ap-3143	63	24	functions	function	NOUN
ap-3143	63	25	:	:	PUNCT
ap-3143	64	1	ω	ω	NUM
ap-3143	64	2	=	=	SYM
ap-3143	64	3	(	(	PUNCT
ap-3143	64	4	1−	1−	NUM
ap-3143	64	5	|x	|x	PROPN
ap-3143	64	6	/	/	SYM
ap-3143	64	7	a|	a|	PROPN
ap-3143	64	8	−	−	PROPN
ap-3143	64	9	|y	|y	NOUN
ap-3143	64	10	/	/	SYM
ap-3143	64	11	b|+	b|+	PROPN
ap-3143	64	12	x2	x2	PROPN
ap-3143	65	1	+	+	CCONJ
ap-3143	65	2	y2	y2	NOUN
ap-3143	65	3	−	−	PROPN
ap-3143	65	4	r2	r2	PROPN
ap-3143	65	5	−	−	PROPN
ap-3143	65	6	√	√	PROPN
ap-3143	65	7	(	(	PUNCT
ap-3143	65	8	1−	1−	NUM
ap-3143	65	9	|x	|x	PROPN
ap-3143	65	10	/	/	SYM
ap-3143	65	11	a|	a|	PROPN
ap-3143	65	12	−	−	PROPN
ap-3143	65	13	|y	|y	NOUN
ap-3143	65	14	/	/	SYM
ap-3143	65	15	b|)2	b|)2	NOUN
ap-3143	66	1	+	+	CCONJ
ap-3143	66	2	(	(	PUNCT
ap-3143	66	3	x2	x2	NOUN
ap-3143	66	4	+	+	CCONJ
ap-3143	66	5	y2	y2	PROPN
ap-3143	67	1	−	−	PROPN
ap-3143	67	2	r2)2	r2)2	NOUN
ap-3143	67	3	≥	≥	NOUN
ap-3143	67	4	0	0	NUM
ap-3143	67	5	)	)	PUNCT
ap-3143	67	6	.	.	PUNCT
ap-3143	68	1	further	far	ADV
ap-3143	68	2	,	,	PUNCT
ap-3143	68	3	for	for	ADP
ap-3143	68	4	simplicity	simplicity	NOUN
ap-3143	68	5	,	,	PUNCT
ap-3143	68	6	the	the	DET
ap-3143	68	7	symbols	symbol	NOUN
ap-3143	68	8	∧r	∧r	PROPN
ap-3143	68	9	,	,	PUNCT
ap-3143	68	10	∨r	∨r	PROPN
ap-3143	68	11	will	will	AUX
ap-3143	68	12	be	be	AUX
ap-3143	68	13	used	use	VERB
ap-3143	68	14	instead	instead	ADV
ap-3143	68	15	of	of	ADP
ap-3143	68	16	the	the	DET
ap-3143	68	17	expanded	expand	VERB
ap-3143	68	18	form	form	NOUN
ap-3143	68	19	of	of	ADP
ap-3143	68	20	r	r	NOUN
ap-3143	68	21	-	-	PUNCT
ap-3143	68	22	function	function	NOUN
ap-3143	68	23	.	.	PUNCT
ap-3143	69	1	method	method	NOUN
ap-3143	69	2	of	of	ADP
ap-3143	69	3	analytical	analytical	ADJ
ap-3143	69	4	determination	determination	NOUN
ap-3143	69	5	of	of	ADP
ap-3143	69	6	the	the	DET
ap-3143	69	7	coverage	coverage	NOUN
ap-3143	69	8	of	of	ADP
ap-3143	69	9	the	the	DET
ap-3143	69	10	source	source	NOUN
ap-3143	69	11	considers	consider	VERB
ap-3143	69	12	the	the	DET
ap-3143	69	13	example	example	NOUN
ap-3143	69	14	of	of	ADP
ap-3143	69	15	two	two	NUM
ap-3143	69	16	-	-	PUNCT
ap-3143	69	17	dimensional	dimensional	ADJ
ap-3143	69	18	problem	problem	NOUN
ap-3143	69	19	.	.	PUNCT
ap-3143	70	1	we	we	PRON
ap-3143	70	2	propose	propose	VERB
ap-3143	70	3	dependences	dependence	NOUN
ap-3143	70	4	that	that	PRON
ap-3143	70	5	describe	describe	VERB
ap-3143	70	6	the	the	DET
ap-3143	70	7	geometric	geometric	ADJ
ap-3143	70	8	shape	shape	NOUN
ap-3143	70	9	of	of	ADP
ap-3143	70	10	the	the	DET
ap-3143	70	11	heat	heat	NOUN
ap-3143	70	12	source	source	NOUN
ap-3143	70	13	ωsource	ωsource	PROPN
ap-3143	70	14	≥	≥	PROPN
ap-3143	70	15	0	0	NUM
ap-3143	70	16	and	and	CCONJ
ap-3143	70	17	body	body	NOUN
ap-3143	70	18	ωbody	ωbody	NOUN
ap-3143	70	19	=	=	SYM
ap-3143	70	20	r(ωi	r(ωi	PROPN
ap-3143	70	21	)	)	PUNCT
ap-3143	70	22	≥	≥	NOUN
ap-3143	70	23	0	0	NUM
ap-3143	70	24	,	,	PUNCT
ap-3143	70	25	where	where	SCONJ
ap-3143	70	26	r(ωi	r(ωi	NOUN
ap-3143	70	27	)	)	PUNCT
ap-3143	70	28	–	–	PUNCT
ap-3143	70	29	system	system	NOUN
ap-3143	70	30	of	of	ADP
ap-3143	70	31	r	r	NOUN
ap-3143	70	32	-	-	PUNCT
ap-3143	70	33	functions	function	NOUN
ap-3143	70	34	;	;	PUNCT
ap-3143	70	35	ωi	ωi	X
ap-3143	70	36	,	,	PUNCT
ap-3143	70	37	i	i	NOUN
ap-3143	70	38	=	=	NOUN
ap-3143	70	39	1	1	NUM
ap-3143	70	40	,	,	PUNCT
ap-3143	70	41	.	.	PUNCT
ap-3143	70	42	.	.	PUNCT
ap-3143	71	1	.	.	PUNCT
ap-3143	72	1	,	,	PUNCT
ap-3143	72	2	n	n	X
ap-3143	72	3	–	–	PUNCT
ap-3143	72	4	geometric	geometric	ADJ
ap-3143	72	5	primitives	primitive	NOUN
ap-3143	72	6	(	(	PUNCT
ap-3143	72	7	figure	figure	NOUN
ap-3143	72	8	2	2	NUM
ap-3143	72	9	)	)	PUNCT
ap-3143	72	10	.	.	PUNCT
ap-3143	73	1	473	473	NUM
ap-3143	73	2	s.	s.	PROPN
ap-3143	73	3	plankovskyy	plankovskyy	NOUN
ap-3143	73	4	,	,	PUNCT
ap-3143	73	5	o.	o.	NOUN
ap-3143	73	6	shypui	shypui	PROPN
ap-3143	73	7	,	,	PUNCT
ap-3143	73	8	y.	y.	PROPN
ap-3143	73	9	tsegelnyk	tsegelnyk	PROPN
ap-3143	73	10	et	et	PROPN
ap-3143	73	11	al	al	PROPN
ap-3143	73	12	.	.	PROPN
ap-3143	73	13	acta	acta	PROPN
ap-3143	73	14	polytechnica	polytechnica	PROPN
ap-3143	73	15	figure	figure	NOUN
ap-3143	73	16	3	3	NUM
ap-3143	73	17	.	.	PUNCT
ap-3143	74	1	design	design	NOUN
ap-3143	74	2	scheme	scheme	NOUN
ap-3143	74	3	for	for	ADP
ap-3143	74	4	the	the	DET
ap-3143	74	5	test	test	NOUN
ap-3143	74	6	problem	problem	NOUN
ap-3143	74	7	.	.	PUNCT
ap-3143	75	1	we	we	PRON
ap-3143	75	2	propose	propose	VERB
ap-3143	75	3	the	the	DET
ap-3143	75	4	expression	expression	NOUN
ap-3143	75	5	gi	gi	X
ap-3143	75	6	=	=	PUNCT
ap-3143	75	7	−(ωi	−(ωi	PROPN
ap-3143	75	8	∧r	∧r	NUM
ap-3143	75	9	ωsource)2	ωsource)2	NOUN
ap-3143	75	10	,	,	PUNCT
ap-3143	75	11	which	which	PRON
ap-3143	75	12	is	be	AUX
ap-3143	75	13	equal	equal	ADJ
ap-3143	75	14	to	to	ADP
ap-3143	75	15	zero	zero	NUM
ap-3143	75	16	in	in	ADP
ap-3143	75	17	the	the	DET
ap-3143	75	18	surface	surface	NOUN
ap-3143	75	19	regions	region	NOUN
ap-3143	75	20	γi	γi	NOUN
ap-3143	75	21	,	,	PUNCT
ap-3143	75	22	primitives	primitives	AUX
ap-3143	75	23	fall	fall	VERB
ap-3143	75	24	into	into	ADP
ap-3143	75	25	the	the	DET
ap-3143	75	26	domain	domain	NOUN
ap-3143	75	27	ωsource	ωsource	NOUN
ap-3143	75	28	and	and	CCONJ
ap-3143	75	29	less	less	ADJ
ap-3143	75	30	than	than	ADP
ap-3143	75	31	zero	zero	NUM
ap-3143	75	32	at	at	ADP
ap-3143	75	33	all	all	DET
ap-3143	75	34	other	other	ADJ
ap-3143	75	35	points	point	NOUN
ap-3143	75	36	.	.	PUNCT
ap-3143	76	1	we	we	PRON
ap-3143	76	2	also	also	ADV
ap-3143	76	3	use	use	VERB
ap-3143	76	4	the	the	DET
ap-3143	76	5	expression	expression	NOUN
ap-3143	76	6	gbody	gbody	NOUN
ap-3143	76	7	=	=	PUNCT
ap-3143	76	8	−(ωbody	−(ωbody	NOUN
ap-3143	76	9	∧r	∧r	NUM
ap-3143	76	10	ωsource)2	ωsource)2	NOUN
ap-3143	76	11	,	,	PUNCT
ap-3143	76	12	which	which	PRON
ap-3143	76	13	is	be	AUX
ap-3143	76	14	equal	equal	ADJ
ap-3143	76	15	to	to	ADP
ap-3143	76	16	zero	zero	NUM
ap-3143	76	17	for	for	ADP
ap-3143	76	18	all	all	DET
ap-3143	76	19	γi	γi	NOUN
ap-3143	76	20	.	.	PUNCT
ap-3143	76	21	expression	expression	NOUN
ap-3143	76	22	ψi	ψi	ADP
ap-3143	76	23	=	=	SYM
ap-3143	76	24	4h(gi	4h(gi	NUM
ap-3143	76	25	)	)	PUNCT
ap-3143	76	26	×	×	NOUN
ap-3143	76	27	h(gbody	h(gbody	NOUN
ap-3143	76	28	)	)	PUNCT
ap-3143	76	29	,	,	PUNCT
ap-3143	76	30	where	where	SCONJ
ap-3143	76	31	h	h	PROPN
ap-3143	76	32	(	(	PUNCT
ap-3143	76	33	heaviside	heaviside	ADJ
ap-3143	76	34	function	function	NOUN
ap-3143	76	35	)	)	PUNCT
ap-3143	76	36	is	be	AUX
ap-3143	76	37	equal	equal	ADJ
ap-3143	76	38	to	to	ADP
ap-3143	76	39	one	one	NUM
ap-3143	76	40	for	for	ADP
ap-3143	76	41	all	all	DET
ap-3143	76	42	points	point	NOUN
ap-3143	76	43	on	on	ADP
ap-3143	76	44	the	the	DET
ap-3143	76	45	surface	surface	NOUN
ap-3143	76	46	of	of	ADP
ap-3143	76	47	the	the	DET
ap-3143	76	48	body	body	NOUN
ap-3143	76	49	,	,	PUNCT
ap-3143	76	50	lying	lie	VERB
ap-3143	76	51	on	on	ADP
ap-3143	76	52	the	the	DET
ap-3143	76	53	γi	γi	NOUN
ap-3143	76	54	,	,	PUNCT
ap-3143	76	55	and	and	CCONJ
ap-3143	76	56	zero	zero	NUM
ap-3143	76	57	for	for	ADP
ap-3143	76	58	the	the	DET
ap-3143	76	59	remaining	remain	VERB
ap-3143	76	60	points	point	NOUN
ap-3143	76	61	.	.	PUNCT
ap-3143	77	1	it	it	PRON
ap-3143	77	2	means	mean	VERB
ap-3143	77	3	that	that	SCONJ
ap-3143	77	4	ray	ray	NOUN
ap-3143	77	5	tracing	tracing	NOUN
ap-3143	77	6	are	be	AUX
ap-3143	77	7	needed	need	VERB
ap-3143	77	8	only	only	ADV
ap-3143	77	9	for	for	ADP
ap-3143	77	10	points	point	NOUN
ap-3143	77	11	,	,	PUNCT
ap-3143	77	12	where	where	SCONJ
ap-3143	77	13	ψi	ψi	NOUN
ap-3143	77	14	is	be	AUX
ap-3143	77	15	equal	equal	ADJ
ap-3143	77	16	to	to	ADP
ap-3143	77	17	one	one	NUM
ap-3143	77	18	.	.	PUNCT
ap-3143	78	1	without	without	ADP
ap-3143	78	2	loss	loss	NOUN
ap-3143	78	3	of	of	ADP
ap-3143	78	4	generality	generality	NOUN
ap-3143	78	5	,	,	PUNCT
ap-3143	78	6	we	we	PRON
ap-3143	78	7	assume	assume	VERB
ap-3143	78	8	that	that	SCONJ
ap-3143	78	9	the	the	DET
ap-3143	78	10	action	action	NOUN
ap-3143	78	11	of	of	ADP
ap-3143	78	12	the	the	DET
ap-3143	78	13	source	source	NOUN
ap-3143	78	14	is	be	AUX
ap-3143	78	15	directed	direct	VERB
ap-3143	78	16	along	along	ADP
ap-3143	78	17	the	the	DET
ap-3143	78	18	axis	axis	NOUN
ap-3143	78	19	ysource	ysource	NOUN
ap-3143	78	20	.	.	PUNCT
ap-3143	79	1	we	we	PRON
ap-3143	79	2	use	use	VERB
ap-3143	79	3	lines	line	NOUN
ap-3143	79	4	fi	fi	NOUN
ap-3143	79	5	=	=	PUNCT
ap-3143	79	6	xsource−xpoint	xsource−xpoint	NOUN
ap-3143	79	7	for	for	ADP
ap-3143	79	8	points	point	NOUN
ap-3143	79	9	on	on	ADP
ap-3143	79	10	the	the	DET
ap-3143	79	11	surface	surface	NOUN
ap-3143	79	12	lying	lie	VERB
ap-3143	79	13	on	on	ADP
ap-3143	79	14	γi	γi	ADP
ap-3143	79	15	.	.	PUNCT
ap-3143	79	16	expression	expression	NOUN
ap-3143	79	17	h(−f2	h(−f2	PROPN
ap-3143	79	18	i	i	PRON
ap-3143	79	19	)	)	PUNCT
ap-3143	79	20	×	×	VERB
ap-3143	79	21	ψi	ψi	SCONJ
ap-3143	79	22	×	×	NOUN
ap-3143	79	23	|ysource|	|ysource|	NOUN
ap-3143	79	24	determines	determine	VERB
ap-3143	79	25	the	the	DET
ap-3143	79	26	distance	distance	NOUN
ap-3143	79	27	between	between	ADP
ap-3143	79	28	the	the	DET
ap-3143	79	29	source	source	NOUN
ap-3143	79	30	and	and	CCONJ
ap-3143	79	31	the	the	DET
ap-3143	79	32	point	point	NOUN
ap-3143	79	33	γi	γi	NOUN
ap-3143	79	34	,	,	PUNCT
ap-3143	79	35	which	which	PRON
ap-3143	79	36	lies	lie	VERB
ap-3143	79	37	on	on	ADP
ap-3143	79	38	fi	fi	NOUN
ap-3143	79	39	.	.	PROPN
ap-3143	79	40	point	point	NOUN
ap-3143	79	41	of	of	ADP
ap-3143	79	42	the	the	DET
ap-3143	79	43	line	line	NOUN
ap-3143	79	44	fi	fi	NOUN
ap-3143	79	45	,	,	PUNCT
ap-3143	79	46	which	which	PRON
ap-3143	79	47	lies	lie	VERB
ap-3143	79	48	closest	close	ADJ
ap-3143	79	49	to	to	ADP
ap-3143	79	50	the	the	DET
ap-3143	79	51	source	source	NOUN
ap-3143	79	52	,	,	PUNCT
ap-3143	79	53	will	will	AUX
ap-3143	79	54	have	have	AUX
ap-3143	79	55	coordinate	coordinate	VERB
ap-3143	79	56	yi	yi	PROPN
ap-3143	79	57	,	,	PUNCT
ap-3143	79	58	min	min	NOUN
ap-3143	79	59	source	source	NOUN
ap-3143	79	60	=	=	X
ap-3143	79	61	minbody	minbody	NOUN
ap-3143	79	62	(	(	PUNCT
ap-3143	79	63	h(−f2	h(−f2	PROPN
ap-3143	79	64	i	i	PROPN
ap-3143	79	65	)	)	PUNCT
ap-3143	79	66	×ψi	×ψi	PROPN
ap-3143	79	67	×	×	NOUN
ap-3143	79	68	|ysource|	|ysource|	NUM
ap-3143	79	69	)	)	PUNCT
ap-3143	79	70	.	.	PUNCT
ap-3143	80	1	seeking	seek	VERB
ap-3143	80	2	function	function	NOUN
ap-3143	80	3	equal	equal	ADJ
ap-3143	80	4	to	to	ADP
ap-3143	80	5	1	1	NUM
ap-3143	80	6	in	in	ADP
ap-3143	80	7	areas	area	NOUN
ap-3143	80	8	which	which	PRON
ap-3143	80	9	are	be	AUX
ap-3143	80	10	affected	affect	VERB
ap-3143	80	11	by	by	ADP
ap-3143	80	12	the	the	DET
ap-3143	80	13	source	source	NOUN
ap-3143	80	14	and	and	CCONJ
ap-3143	80	15	0	0	NUM
ap-3143	80	16	for	for	ADP
ap-3143	80	17	the	the	DET
ap-3143	80	18	rest	rest	NOUN
ap-3143	80	19	of	of	ADP
ap-3143	80	20	the	the	DET
ap-3143	80	21	γi	γi	PROPN
ap-3143	80	22	can	can	AUX
ap-3143	80	23	be	be	AUX
ap-3143	80	24	written	write	VERB
ap-3143	80	25	as	as	ADP
ap-3143	80	26	:	:	PUNCT
ap-3143	80	27	φ	φ	PROPN
ap-3143	80	28	=	=	SYM
ap-3143	80	29	2h	2h	NUM
ap-3143	80	30	(	(	PUNCT
ap-3143	80	31	yi	yi	NOUN
ap-3143	80	32	,	,	PUNCT
ap-3143	80	33	min	min	NOUN
ap-3143	80	34	source	source	NOUN
ap-3143	80	35	−ψi	−ψi	PROPN
ap-3143	80	36	×	×	NOUN
ap-3143	80	37	|ysource|	|ysource|	NUM
ap-3143	80	38	)	)	PUNCT
ap-3143	80	39	.	.	PUNCT
ap-3143	81	1	(	(	PUNCT
ap-3143	81	2	2	2	X
ap-3143	81	3	)	)	PUNCT
ap-3143	81	4	with	with	ADP
ap-3143	81	5	the	the	DET
ap-3143	81	6	known	know	VERB
ap-3143	81	7	law	law	NOUN
ap-3143	81	8	of	of	ADP
ap-3143	81	9	motion	motion	NOUN
ap-3143	81	10	of	of	ADP
ap-3143	81	11	the	the	DET
ap-3143	81	12	body	body	NOUN
ap-3143	81	13	,	,	PUNCT
ap-3143	81	14	connecting	connect	VERB
ap-3143	81	15	the	the	DET
ap-3143	81	16	coordinates	coordinate	NOUN
ap-3143	81	17	(	(	PUNCT
ap-3143	81	18	xbody	xbody	NOUN
ap-3143	81	19	,	,	PUNCT
ap-3143	81	20	ybody	ybody	NOUN
ap-3143	81	21	)	)	PUNCT
ap-3143	81	22	and	and	CCONJ
ap-3143	81	23	(	(	PUNCT
ap-3143	81	24	xsource	xsource	PROPN
ap-3143	81	25	,	,	PUNCT
ap-3143	81	26	ysource	ysource	NOUN
ap-3143	81	27	)	)	PUNCT
ap-3143	81	28	,	,	PUNCT
ap-3143	81	29	functions	function	VERB
ap-3143	81	30	h(gbody	h(gbody	NOUN
ap-3143	81	31	)	)	PUNCT
ap-3143	81	32	and	and	CCONJ
ap-3143	81	33	φ	φ	PROPN
ap-3143	81	34	clearly	clearly	ADV
ap-3143	81	35	defines	define	VERB
ap-3143	81	36	the	the	DET
ap-3143	81	37	scope	scope	NOUN
ap-3143	81	38	of	of	ADP
ap-3143	81	39	the	the	DET
ap-3143	81	40	source	source	NOUN
ap-3143	81	41	for	for	ADP
ap-3143	81	42	the	the	DET
ap-3143	81	43	body	body	NOUN
ap-3143	81	44	of	of	ADP
ap-3143	81	45	arbitrary	arbitrary	ADJ
ap-3143	81	46	shape	shape	NOUN
ap-3143	81	47	given	give	VERB
ap-3143	81	48	by	by	ADP
ap-3143	81	49	the	the	DET
ap-3143	81	50	expression	expression	NOUN
ap-3143	81	51	ωbody	ωbody	NOUN
ap-3143	81	52	.	.	PUNCT
ap-3143	82	1	the	the	DET
ap-3143	82	2	method	method	NOUN
ap-3143	82	3	of	of	ADP
ap-3143	82	4	creating	create	VERB
ap-3143	82	5	equation	equation	NOUN
ap-3143	82	6	(	(	PUNCT
ap-3143	82	7	2	2	X
ap-3143	82	8	)	)	PUNCT
ap-3143	82	9	may	may	AUX
ap-3143	82	10	seems	seem	VERB
ap-3143	82	11	cumbersome	cumbersome	ADJ
ap-3143	82	12	.	.	PUNCT
ap-3143	83	1	however	however	ADV
ap-3143	83	2	,	,	PUNCT
ap-3143	83	3	this	this	DET
ap-3143	83	4	expression	expression	NOUN
ap-3143	83	5	is	be	AUX
ap-3143	83	6	created	create	VERB
ap-3143	83	7	only	only	ADV
ap-3143	83	8	once	once	ADV
ap-3143	83	9	.	.	PUNCT
ap-3143	84	1	this	this	PRON
ap-3143	84	2	distinguishes	distinguish	VERB
ap-3143	84	3	the	the	DET
ap-3143	84	4	proposed	propose	VERB
ap-3143	84	5	approach	approach	NOUN
ap-3143	84	6	against	against	ADP
ap-3143	84	7	all	all	DET
ap-3143	84	8	known	know	VERB
ap-3143	84	9	algorithms	algorithm	NOUN
ap-3143	84	10	for	for	ADP
ap-3143	84	11	ray	ray	NOUN
ap-3143	84	12	tracing	tracing	NOUN
ap-3143	84	13	.	.	PUNCT
ap-3143	85	1	the	the	DET
ap-3143	85	2	proposed	propose	VERB
ap-3143	85	3	method	method	NOUN
ap-3143	85	4	can	can	AUX
ap-3143	85	5	also	also	ADV
ap-3143	85	6	be	be	AUX
ap-3143	85	7	used	use	VERB
ap-3143	85	8	for	for	ADP
ap-3143	85	9	time	time	NOUN
ap-3143	85	10	-	-	PUNCT
ap-3143	85	11	dependent	dependent	ADJ
ap-3143	85	12	multisource	multisource	NOUN
ap-3143	85	13	with	with	ADP
ap-3143	85	14	arbitrary	arbitrary	ADJ
ap-3143	85	15	shapes	shape	NOUN
ap-3143	85	16	which	which	PRON
ap-3143	85	17	move	move	VERB
ap-3143	85	18	in	in	ADP
ap-3143	85	19	different	different	ADJ
ap-3143	85	20	directions	direction	NOUN
ap-3143	85	21	.	.	PUNCT
ap-3143	86	1	at	at	ADP
ap-3143	86	2	solving	solve	VERB
ap-3143	86	3	such	such	ADJ
ap-3143	86	4	problems	problem	NOUN
ap-3143	86	5	using	use	VERB
ap-3143	86	6	the	the	DET
ap-3143	86	7	finite	finite	ADJ
ap-3143	86	8	element	element	NOUN
ap-3143	86	9	method	method	NOUN
ap-3143	86	10	,	,	PUNCT
ap-3143	86	11	quality	quality	NOUN
ap-3143	86	12	of	of	ADP
ap-3143	86	13	domain	domain	NOUN
ap-3143	86	14	finite	finite	PROPN
ap-3143	86	15	element	element	NOUN
ap-3143	86	16	mesh	mesh	NOUN
ap-3143	86	17	has	have	VERB
ap-3143	86	18	a	a	DET
ap-3143	86	19	serious	serious	ADJ
ap-3143	86	20	influence	influence	NOUN
ap-3143	86	21	on	on	ADP
ap-3143	86	22	the	the	DET
ap-3143	86	23	accuracy	accuracy	NOUN
ap-3143	86	24	of	of	ADP
ap-3143	86	25	the	the	DET
ap-3143	86	26	source	source	NOUN
ap-3143	86	27	locale	locale	NOUN
ap-3143	86	28	.	.	PUNCT
ap-3143	87	1	if	if	SCONJ
ap-3143	87	2	the	the	DET
ap-3143	87	3	finite	finite	PROPN
ap-3143	87	4	element	element	NOUN
ap-3143	87	5	mesh	mesh	NOUN
ap-3143	87	6	of	of	ADP
ap-3143	87	7	the	the	DET
ap-3143	87	8	object	object	NOUN
ap-3143	87	9	is	be	AUX
ap-3143	87	10	not	not	PART
ap-3143	87	11	performed	perform	VERB
ap-3143	87	12	accurately	accurately	ADV
ap-3143	87	13	enough	enough	ADV
ap-3143	87	14	,	,	PUNCT
ap-3143	87	15	the	the	DET
ap-3143	87	16	mesh	mesh	NOUN
ap-3143	87	17	generator	generator	NOUN
ap-3143	87	18	determines	determine	VERB
ap-3143	87	19	the	the	DET
ap-3143	87	20	coordinates	coordinate	NOUN
ap-3143	87	21	of	of	ADP
ap-3143	87	22	the	the	DET
ap-3143	87	23	surface	surface	NOUN
ap-3143	87	24	nodes	node	NOUN
ap-3143	87	25	with	with	ADP
ap-3143	87	26	an	an	DET
ap-3143	87	27	error	error	NOUN
ap-3143	87	28	.	.	PUNCT
ap-3143	88	1	in	in	ADP
ap-3143	88	2	this	this	DET
ap-3143	88	3	case	case	NOUN
ap-3143	88	4	,	,	PUNCT
ap-3143	88	5	the	the	DET
ap-3143	88	6	elements	element	NOUN
ap-3143	88	7	heated	heat	VERB
ap-3143	88	8	by	by	ADP
ap-3143	88	9	source	source	NOUN
ap-3143	88	10	on	on	ADP
ap-3143	88	11	the	the	DET
ap-3143	88	12	surface	surface	NOUN
ap-3143	88	13	of	of	ADP
ap-3143	88	14	the	the	DET
ap-3143	88	15	body	body	NOUN
ap-3143	88	16	are	be	AUX
ap-3143	88	17	defined	define	VERB
ap-3143	88	18	incorrectly	incorrectly	ADV
ap-3143	88	19	.	.	PUNCT
ap-3143	89	1	you	you	PRON
ap-3143	89	2	can	can	AUX
ap-3143	89	3	see	see	VERB
ap-3143	89	4	such	such	ADJ
ap-3143	89	5	influence	influence	NOUN
ap-3143	89	6	in	in	ADP
ap-3143	89	7	the	the	DET
ap-3143	89	8	following	follow	VERB
ap-3143	89	9	test	test	NOUN
ap-3143	89	10	problem	problem	NOUN
ap-3143	89	11	.	.	PUNCT
ap-3143	90	1	determination	determination	NOUN
ap-3143	90	2	of	of	ADP
ap-3143	90	3	the	the	DET
ap-3143	90	4	moving	move	VERB
ap-3143	90	5	heat	heat	NOUN
ap-3143	90	6	source	source	NOUN
ap-3143	90	7	site	site	NOUN
ap-3143	90	8	of	of	ADP
ap-3143	90	9	action	action	NOUN
ap-3143	90	10	for	for	ADP
ap-3143	90	11	complex	complex	ADJ
ap-3143	90	12	shape	shape	NOUN
ap-3143	90	13	body	body	NOUN
ap-3143	90	14	was	be	AUX
ap-3143	90	15	solved	solve	VERB
ap-3143	90	16	as	as	ADP
ap-3143	90	17	a	a	DET
ap-3143	90	18	test	test	NOUN
ap-3143	90	19	problem	problem	NOUN
ap-3143	90	20	.	.	PUNCT
ap-3143	91	1	a	a	DET
ap-3143	91	2	rectangular	rectangular	ADJ
ap-3143	91	3	shape	shape	NOUN
ap-3143	91	4	source	source	NOUN
ap-3143	91	5	with	with	ADP
ap-3143	91	6	a	a	DET
ap-3143	91	7	cut	cut	NOUN
ap-3143	91	8	performs	perform	VERB
ap-3143	91	9	a	a	DET
ap-3143	91	10	reciprocating	reciprocate	VERB
ap-3143	91	11	motion	motion	NOUN
ap-3143	91	12	along	along	ADP
ap-3143	91	13	the	the	DET
ap-3143	91	14	axis	axis	NOUN
ap-3143	91	15	xbody	xbody	NOUN
ap-3143	91	16	,	,	PUNCT
ap-3143	91	17	and	and	CCONJ
ap-3143	91	18	rotates	rotate	VERB
ap-3143	91	19	around	around	ADP
ap-3143	91	20	the	the	DET
ap-3143	91	21	axis	axis	ADJ
ap-3143	91	22	ysource	ysource	NOUN
ap-3143	91	23	(	(	PUNCT
ap-3143	91	24	figure	figure	NOUN
ap-3143	91	25	3	3	NUM
ap-3143	91	26	)	)	PUNCT
ap-3143	91	27	.	.	PUNCT
ap-3143	92	1	for	for	ADP
ap-3143	92	2	this	this	DET
ap-3143	92	3	problem	problem	NOUN
ap-3143	92	4	,	,	PUNCT
ap-3143	92	5	the	the	DET
ap-3143	92	6	coordinate	coordinate	NOUN
ap-3143	92	7	system	system	NOUN
ap-3143	92	8	of	of	ADP
ap-3143	92	9	the	the	DET
ap-3143	92	10	source	source	NOUN
ap-3143	92	11	and	and	CCONJ
ap-3143	92	12	body	body	NOUN
ap-3143	92	13	are	be	AUX
ap-3143	92	14	connected	connect	VERB
ap-3143	92	15	by	by	ADP
ap-3143	92	16	expressions:	expressions:	PROPN
ap-3143	92	17	xsource	xsource	PROPN
ap-3143	92	18	=	=	PRON
ap-3143	93	1	(	(	PUNCT
ap-3143	93	2	xbody	xbody	NOUN
ap-3143	93	3	+	+	CCONJ
ap-3143	93	4	l	l	NOUN
ap-3143	93	5	−	−	NOUN
ap-3143	93	6	2l	2l	NOUN
ap-3143	93	7	sin	sin	NOUN
ap-3143	93	8	ϕ̇1	ϕ̇1	PROPN
ap-3143	93	9	t	t	PROPN
ap-3143	93	10	)	)	PUNCT
ap-3143	94	1	cos	cos	PROPN
ap-3143	94	2	ϕ̇2	ϕ̇2	PROPN
ap-3143	94	3	t	t	PROPN
ap-3143	94	4	+	+	NOUN
ap-3143	94	5	zbody	zbody	NOUN
ap-3143	94	6	sin	sin	NOUN
ap-3143	94	7	ϕ̇2	ϕ̇2	PROPN
ap-3143	94	8	t	t	PROPN
ap-3143	94	9	,	,	PUNCT
ap-3143	94	10	ysource	ysource	NOUN
ap-3143	94	11	=	=	ADJ
ap-3143	94	12	ybody	ybody	NOUN
ap-3143	94	13	,	,	PUNCT
ap-3143	94	14	zsource	zsource	NOUN
ap-3143	94	15	=	=	PUNCT
ap-3143	95	1	−(xbody	−(xbody	NOUN
ap-3143	95	2	+	+	NOUN
ap-3143	95	3	l	l	NOUN
ap-3143	95	4	−	−	NOUN
ap-3143	95	5	2l	2l	NOUN
ap-3143	95	6	sin	sin	NOUN
ap-3143	95	7	ϕ̇1	ϕ̇1	PROPN
ap-3143	95	8	t	t	PROPN
ap-3143	95	9	)	)	PUNCT
ap-3143	95	10	sin	sin	NOUN
ap-3143	95	11	ϕ̇2	ϕ̇2	PROPN
ap-3143	95	12	t	t	NOUN
ap-3143	95	13	+	+	PROPN
ap-3143	95	14	zbody	zbody	PROPN
ap-3143	95	15	cos	cos	PROPN
ap-3143	95	16	ϕ̇2	ϕ̇2	PROPN
ap-3143	95	17	t.	t.	ADJ
ap-3143	95	18	figure	figure	NOUN
ap-3143	95	19	4	4	NUM
ap-3143	95	20	shows	show	VERB
ap-3143	95	21	the	the	DET
ap-3143	95	22	results	result	NOUN
ap-3143	95	23	of	of	ADP
ap-3143	95	24	numerical	numerical	ADJ
ap-3143	95	25	calculations	calculation	NOUN
ap-3143	95	26	for	for	ADP
ap-3143	95	27	two	two	NUM
ap-3143	95	28	cases	case	NOUN
ap-3143	95	29	:	:	PUNCT
ap-3143	95	30	when	when	SCONJ
ap-3143	95	31	using	use	VERB
ap-3143	95	32	automatic	automatic	ADJ
ap-3143	95	33	generation	generation	NOUN
ap-3143	95	34	of	of	ADP
ap-3143	95	35	unstructured	unstructured	ADJ
ap-3143	95	36	mesh	mesh	NOUN
ap-3143	95	37	without	without	ADP
ap-3143	95	38	additional	additional	ADJ
ap-3143	95	39	conditions	condition	NOUN
ap-3143	95	40	and	and	CCONJ
ap-3143	95	41	with	with	ADP
ap-3143	95	42	the	the	DET
ap-3143	95	43	mesh	mesh	NOUN
ap-3143	95	44	obtained	obtain	VERB
ap-3143	95	45	by	by	ADP
ap-3143	95	46	the	the	DET
ap-3143	95	47	forced	force	VERB
ap-3143	95	48	association	association	NOUN
ap-3143	95	49	of	of	ADP
ap-3143	95	50	mesh	mesh	NOUN
ap-3143	95	51	nodes	node	NOUN
ap-3143	95	52	to	to	ADP
ap-3143	95	53	the	the	DET
ap-3143	95	54	body	body	NOUN
ap-3143	95	55	surface	surface	NOUN
ap-3143	95	56	.	.	PUNCT
ap-3143	96	1	area	area	NOUN
ap-3143	96	2	of	of	ADP
ap-3143	96	3	the	the	DET
ap-3143	96	4	source	source	NOUN
ap-3143	96	5	is	be	AUX
ap-3143	96	6	defined	define	VERB
ap-3143	96	7	incorrectly	incorrectly	ADV
ap-3143	96	8	on	on	ADP
ap-3143	96	9	curved	curved	ADJ
ap-3143	96	10	surfaces	surface	NOUN
ap-3143	96	11	and	and	CCONJ
ap-3143	96	12	planes	plane	NOUN
ap-3143	96	13	parallel	parallel	NOUN
ap-3143	96	14	to	to	ADP
ap-3143	96	15	it	it	PRON
ap-3143	96	16	for	for	ADP
ap-3143	96	17	case	case	NOUN
ap-3143	96	18	one	one	NUM
ap-3143	96	19	.	.	PUNCT
ap-3143	97	1	3	3	X
ap-3143	97	2	.	.	X
ap-3143	97	3	numerical	numerical	PROPN
ap-3143	97	4	simulation	simulation	PROPN
ap-3143	97	5	result	result	NOUN
ap-3143	97	6	and	and	CCONJ
ap-3143	97	7	discussion	discussion	NOUN
ap-3143	97	8	simulation	simulation	NOUN
ap-3143	97	9	of	of	ADP
ap-3143	97	10	gas	gas	NOUN
ap-3143	97	11	turbine	turbine	NOUN
ap-3143	97	12	engine	engine	NOUN
ap-3143	97	13	blade	blade	NOUN
ap-3143	97	14	heating	heating	NOUN
ap-3143	97	15	during	during	ADP
ap-3143	97	16	ion	ion	NOUN
ap-3143	97	17	sputtering	sputtering	NOUN
ap-3143	97	18	has	have	AUX
ap-3143	97	19	been	be	AUX
ap-3143	97	20	done	do	VERB
ap-3143	97	21	using	use	VERB
ap-3143	97	22	the	the	DET
ap-3143	97	23	proposed	propose	VERB
ap-3143	97	24	method	method	NOUN
ap-3143	97	25	.	.	PUNCT
ap-3143	98	1	the	the	DET
ap-3143	98	2	process	process	NOUN
ap-3143	98	3	is	be	AUX
ap-3143	98	4	performed	perform	VERB
ap-3143	98	5	on	on	ADP
ap-3143	98	6	an	an	DET
ap-3143	98	7	ion	ion	NOUN
ap-3143	98	8	-	-	PUNCT
ap-3143	98	9	plasma	plasma	NOUN
ap-3143	98	10	device	device	NOUN
ap-3143	98	11	and	and	CCONJ
ap-3143	98	12	is	be	AUX
ap-3143	98	13	a	a	DET
ap-3143	98	14	preparatory	preparatory	ADJ
ap-3143	98	15	stage	stage	NOUN
ap-3143	98	16	before	before	ADP
ap-3143	98	17	coating	coat	VERB
ap-3143	98	18	.	.	PUNCT
ap-3143	99	1	sputtering	sputtering	NOUN
ap-3143	99	2	is	be	AUX
ap-3143	99	3	a	a	DET
ap-3143	99	4	slow	slow	ADJ
ap-3143	99	5	process	process	NOUN
ap-3143	99	6	,	,	PUNCT
ap-3143	99	7	so	so	ADV
ap-3143	99	8	to	to	PART
ap-3143	99	9	improve	improve	VERB
ap-3143	99	10	performance	performance	NOUN
ap-3143	99	11	,	,	PUNCT
ap-3143	99	12	a	a	DET
ap-3143	99	13	set	set	NOUN
ap-3143	99	14	of	of	ADP
ap-3143	99	15	parts	part	NOUN
ap-3143	99	16	was	be	AUX
ap-3143	99	17	treated	treat	VERB
ap-3143	99	18	at	at	ADP
ap-3143	99	19	the	the	DET
ap-3143	99	20	same	same	ADJ
ap-3143	99	21	time	time	NOUN
ap-3143	99	22	.	.	PUNCT
ap-3143	100	1	so	so	ADV
ap-3143	100	2	batch	batch	NOUN
ap-3143	100	3	of	of	ADP
ap-3143	100	4	blades	blade	NOUN
ap-3143	100	5	is	be	AUX
ap-3143	100	6	set	set	VERB
ap-3143	100	7	on	on	ADP
ap-3143	100	8	a	a	DET
ap-3143	100	9	turntable	turntable	NOUN
ap-3143	100	10	which	which	PRON
ap-3143	100	11	rotates	rotate	VERB
ap-3143	100	12	with	with	ADP
ap-3143	100	13	an	an	DET
ap-3143	100	14	angular	angular	ADJ
ap-3143	100	15	velocity	velocity	NOUN
ap-3143	100	16	ϕ̇1	ϕ̇1	PROPN
ap-3143	100	17	(	(	PUNCT
ap-3143	100	18	figure	figure	NOUN
ap-3143	100	19	5	5	NUM
ap-3143	100	20	)	)	PUNCT
ap-3143	100	21	.	.	PUNCT
ap-3143	101	1	for	for	ADP
ap-3143	101	2	more	more	ADJ
ap-3143	101	3	uniform	uniform	ADJ
ap-3143	101	4	sputtering	sputtering	NOUN
ap-3143	101	5	and	and	CCONJ
ap-3143	101	6	coating	coating	NOUN
ap-3143	101	7	,	,	PUNCT
ap-3143	101	8	the	the	DET
ap-3143	101	9	blade	blade	NOUN
ap-3143	101	10	also	also	ADV
ap-3143	101	11	rotates	rotate	VERB
ap-3143	101	12	around	around	ADP
ap-3143	101	13	its	its	PRON
ap-3143	101	14	own	own	ADJ
ap-3143	101	15	axis	axis	NOUN
ap-3143	101	16	with	with	ADP
ap-3143	101	17	an	an	DET
ap-3143	101	18	angular	angular	ADJ
ap-3143	101	19	velocity	velocity	NOUN
ap-3143	101	20	ϕ̇2	ϕ̇2	PROPN
ap-3143	101	21	.	.	PUNCT
ap-3143	101	22	energy	energy	NOUN
ap-3143	101	23	of	of	ADP
ap-3143	101	24	the	the	DET
ap-3143	101	25	ion	ion	NOUN
ap-3143	101	26	beam	beam	NOUN
ap-3143	101	27	,	,	PUNCT
ap-3143	101	28	sputtering	sputtering	ADJ
ap-3143	101	29	time	time	NOUN
ap-3143	101	30	,	,	PUNCT
ap-3143	101	31	the	the	DET
ap-3143	101	32	rotation	rotation	NOUN
ap-3143	101	33	speed	speed	NOUN
ap-3143	101	34	of	of	ADP
ap-3143	101	35	the	the	DET
ap-3143	101	36	table	table	NOUN
ap-3143	101	37	and	and	CCONJ
ap-3143	101	38	of	of	ADP
ap-3143	101	39	the	the	DET
ap-3143	101	40	blades	blade	NOUN
ap-3143	101	41	must	must	AUX
ap-3143	101	42	be	be	AUX
ap-3143	101	43	assigned	assign	VERB
ap-3143	101	44	so	so	SCONJ
ap-3143	101	45	as	as	SCONJ
ap-3143	101	46	to	to	PART
ap-3143	101	47	provide	provide	VERB
ap-3143	101	48	a	a	DET
ap-3143	101	49	predetermined	predetermined	ADJ
ap-3143	101	50	quality	quality	NOUN
ap-3143	101	51	of	of	ADP
ap-3143	101	52	treatment	treatment	NOUN
ap-3143	101	53	and	and	CCONJ
ap-3143	101	54	to	to	PART
ap-3143	101	55	prevent	prevent	VERB
ap-3143	101	56	the	the	DET
ap-3143	101	57	blade	blade	NOUN
ap-3143	101	58	material	material	NOUN
ap-3143	101	59	from	from	ADP
ap-3143	101	60	overheating	overheat	VERB
ap-3143	101	61	above	above	ADP
ap-3143	101	62	the	the	DET
ap-3143	101	63	phase	phase	NOUN
ap-3143	101	64	transition	transition	NOUN
ap-3143	101	65	temperature	temperature	NOUN
ap-3143	101	66	.	.	PUNCT
ap-3143	102	1	for	for	ADP
ap-3143	102	2	the	the	DET
ap-3143	102	3	heat	heat	NOUN
ap-3143	102	4	resistant	resistant	ADJ
ap-3143	102	5	alloys	alloy	NOUN
ap-3143	102	6	,	,	PUNCT
ap-3143	102	7	which	which	PRON
ap-3143	102	8	are	be	AUX
ap-3143	102	9	most	most	ADV
ap-3143	102	10	commonly	commonly	ADV
ap-3143	102	11	used	use	VERB
ap-3143	102	12	in	in	ADP
ap-3143	102	13	a	a	DET
ap-3143	102	14	turbine	turbine	NOUN
ap-3143	102	15	blade	blade	NOUN
ap-3143	102	16	manufacturing	manufacturing	NOUN
ap-3143	102	17	,	,	PUNCT
ap-3143	102	18	this	this	DET
ap-3143	102	19	temperature	temperature	NOUN
ap-3143	102	20	is	be	AUX
ap-3143	102	21	equal	equal	ADJ
ap-3143	102	22	to	to	ADP
ap-3143	102	23	1270k	1270k	NUM
ap-3143	102	24	.	.	PUNCT
ap-3143	103	1	the	the	DET
ap-3143	103	2	intersection	intersection	NOUN
ap-3143	103	3	of	of	ADP
ap-3143	103	4	the	the	DET
ap-3143	103	5	ion	ion	NOUN
ap-3143	103	6	beam	beam	NOUN
ap-3143	103	7	and	and	CCONJ
ap-3143	103	8	the	the	DET
ap-3143	103	9	blade	blade	NOUN
ap-3143	103	10	surface	surface	NOUN
ap-3143	103	11	causes	cause	VERB
ap-3143	103	12	the	the	DET
ap-3143	103	13	blade	blade	NOUN
ap-3143	103	14	heating	heating	NOUN
ap-3143	103	15	.	.	PUNCT
ap-3143	104	1	it	it	PRON
ap-3143	104	2	was	be	AUX
ap-3143	104	3	assumed	assume	VERB
ap-3143	104	4	that	that	SCONJ
ap-3143	104	5	the	the	DET
ap-3143	104	6	ion	ion	NOUN
ap-3143	104	7	flux	flux	NOUN
ap-3143	104	8	occupies	occupy	VERB
ap-3143	104	9	a	a	DET
ap-3143	104	10	cylindrical	cylindrical	ADJ
ap-3143	104	11	shape	shape	NOUN
ap-3143	104	12	area	area	NOUN
ap-3143	104	13	with	with	ADP
ap-3143	104	14	radius	radius	NOUN
ap-3143	104	15	r	r	NOUN
ap-3143	104	16	,	,	PUNCT
ap-3143	104	17	located	locate	VERB
ap-3143	104	18	perpendicularly	perpendicularly	ADV
ap-3143	104	19	to	to	ADP
ap-3143	104	20	the	the	DET
ap-3143	104	21	plane	plane	NOUN
ap-3143	104	22	z0x	z0x	NOUN
ap-3143	104	23	,	,	PUNCT
ap-3143	104	24	displaced	displace	VERB
ap-3143	104	25	along	along	ADP
ap-3143	104	26	the	the	DET
ap-3143	104	27	axis	axis	NOUN
ap-3143	104	28	z	z	NOUN
ap-3143	104	29	from	from	ADP
ap-3143	104	30	the	the	DET
ap-3143	104	31	plane	plane	NOUN
ap-3143	104	32	of	of	ADP
ap-3143	104	33	the	the	DET
ap-3143	104	34	table	table	NOUN
ap-3143	104	35	on	on	ADP
ap-3143	104	36	a	a	DET
ap-3143	104	37	distance	distance	NOUN
ap-3143	104	38	h.	h.	PROPN
ap-3143	104	39	movement	movement	PROPN
ap-3143	104	40	of	of	ADP
ap-3143	104	41	ions	ion	NOUN
ap-3143	104	42	occurs	occur	VERB
ap-3143	104	43	along	along	ADP
ap-3143	104	44	a	a	DET
ap-3143	104	45	positive	positive	ADJ
ap-3143	104	46	direction	direction	NOUN
ap-3143	104	47	of	of	ADP
ap-3143	104	48	the	the	DET
ap-3143	104	49	axis	axis	NOUN
ap-3143	104	50	y	y	PROPN
ap-3143	104	51	(	(	PUNCT
ap-3143	104	52	figure	figure	NOUN
ap-3143	104	53	5	5	NUM
ap-3143	104	54	)	)	PUNCT
ap-3143	104	55	.	.	PUNCT
ap-3143	105	1	the	the	DET
ap-3143	105	2	blade	blade	NOUN
ap-3143	105	3	heating	heating	NOUN
ap-3143	105	4	occurs	occur	VERB
ap-3143	105	5	near	near	ADP
ap-3143	105	6	the	the	DET
ap-3143	105	7	ion	ion	NOUN
ap-3143	105	8	source	source	NOUN
ap-3143	105	9	.	.	PUNCT
ap-3143	106	1	therefore	therefore	ADV
ap-3143	106	2	,	,	PUNCT
ap-3143	106	3	the	the	DET
ap-3143	106	4	shape	shape	NOUN
ap-3143	106	5	of	of	ADP
ap-3143	106	6	the	the	DET
ap-3143	106	7	ion	ion	NOUN
ap-3143	106	8	beam	beam	NOUN
ap-3143	106	9	was	be	AUX
ap-3143	106	10	set	set	VERB
ap-3143	106	11	by	by	ADP
ap-3143	106	12	the	the	DET
ap-3143	106	13	expression	expression	NOUN
ap-3143	106	14	ωsource	ωsource	NOUN
ap-3143	106	15	=	=	PUNCT
ap-3143	106	16	(	(	PUNCT
ap-3143	106	17	r2−	r2−	PROPN
ap-3143	106	18	x2−	x2−	PROPN
ap-3143	106	19	(	(	PUNCT
ap-3143	106	20	z−	z−	PROPN
ap-3143	106	21	h)2)∧r−y	h)2)∧r−y	X
ap-3143	106	22	.	.	PUNCT
ap-3143	106	23	coordinate	coordinate	NOUN
ap-3143	106	24	system	system	NOUN
ap-3143	106	25	of	of	ADP
ap-3143	106	26	the	the	DET
ap-3143	106	27	body	body	NOUN
ap-3143	106	28	and	and	CCONJ
ap-3143	106	29	the	the	DET
ap-3143	106	30	source	source	NOUN
ap-3143	106	31	are	be	AUX
ap-3143	106	32	related	relate	VERB
ap-3143	106	33	by	by	ADP
ap-3143	106	34	the	the	DET
ap-3143	106	35	474	474	NUM
ap-3143	106	36	vol	vol	NOUN
ap-3143	106	37	.	.	PUNCT
ap-3143	107	1	56	56	NUM
ap-3143	107	2	no	no	NOUN
ap-3143	107	3	.	.	PUNCT
ap-3143	108	1	6/2016	6/2016	NUM
ap-3143	108	2	simulation	simulation	NOUN
ap-3143	108	3	of	of	ADP
ap-3143	108	4	surface	surface	NOUN
ap-3143	108	5	heating	heating	NOUN
ap-3143	108	6	figure	figure	NOUN
ap-3143	108	7	4	4	NUM
ap-3143	108	8	.	.	PUNCT
ap-3143	109	1	the	the	DET
ap-3143	109	2	results	result	NOUN
ap-3143	109	3	of	of	ADP
ap-3143	109	4	numerical	numerical	ADJ
ap-3143	109	5	simulations	simulation	NOUN
ap-3143	109	6	using	use	VERB
ap-3143	109	7	unstructured	unstructured	ADJ
ap-3143	109	8	mesh	mesh	NOUN
ap-3143	109	9	without	without	ADP
ap-3143	109	10	conditions	condition	NOUN
ap-3143	109	11	(	(	PUNCT
ap-3143	109	12	left	leave	VERB
ap-3143	109	13	)	)	PUNCT
ap-3143	109	14	and	and	CCONJ
ap-3143	109	15	mesh	mesh	NOUN
ap-3143	109	16	obtained	obtain	VERB
ap-3143	109	17	by	by	ADP
ap-3143	109	18	the	the	DET
ap-3143	109	19	forced	force	VERB
ap-3143	109	20	association	association	NOUN
ap-3143	109	21	of	of	ADP
ap-3143	109	22	mesh	mesh	NOUN
ap-3143	109	23	nodes	node	NOUN
ap-3143	109	24	from	from	ADP
ap-3143	109	25	the	the	DET
ap-3143	109	26	body	body	NOUN
ap-3143	109	27	surface	surface	NOUN
ap-3143	109	28	(	(	PUNCT
ap-3143	109	29	right	right	NOUN
ap-3143	109	30	)	)	PUNCT
ap-3143	109	31	.	.	PUNCT
ap-3143	110	1	expressions:	expressions:	PROPN
ap-3143	110	2	zsource	zsource	NOUN
ap-3143	110	3	=	=	PUNCT
ap-3143	110	4	zbody	zbody	NOUN
ap-3143	110	5	,	,	PUNCT
ap-3143	110	6	xsource	xsource	X
ap-3143	111	1	=	=	PRON
ap-3143	111	2	(	(	PUNCT
ap-3143	111	3	xbody	xbody	NOUN
ap-3143	111	4	+	+	NOUN
ap-3143	111	5	r	r	PROPN
ap-3143	111	6	cos	cos	PROPN
ap-3143	111	7	ϕ̇1	ϕ̇1	PROPN
ap-3143	111	8	t	t	PROPN
ap-3143	111	9	)	)	PUNCT
ap-3143	111	10	cos(−ϕ̇2)t	cos(−ϕ̇2)t	PUNCT
ap-3143	112	1	+	+	PROPN
ap-3143	112	2	(	(	PUNCT
ap-3143	112	3	ybody	ybody	NOUN
ap-3143	112	4	+	+	NOUN
ap-3143	112	5	r	r	NOUN
ap-3143	112	6	sin	sin	NOUN
ap-3143	112	7	ϕ̇1	ϕ̇1	PROPN
ap-3143	112	8	t	t	PROPN
ap-3143	112	9	)	)	PUNCT
ap-3143	112	10	sin(−ϕ̇2)t	sin(−ϕ̇2)t	NOUN
ap-3143	112	11	,	,	PUNCT
ap-3143	112	12	ysource	ysource	NOUN
ap-3143	112	13	=	=	NOUN
ap-3143	113	1	−(xbody	−(xbody	NOUN
ap-3143	113	2	+	+	NOUN
ap-3143	113	3	r	r	NOUN
ap-3143	113	4	cos	cos	PROPN
ap-3143	113	5	ϕ̇1	ϕ̇1	PROPN
ap-3143	113	6	t	t	PROPN
ap-3143	113	7	)	)	PUNCT
ap-3143	114	1	sin(−ϕ̇2)t	sin(−ϕ̇2)t	PUNCT
ap-3143	114	2	+	+	PROPN
ap-3143	114	3	(	(	PUNCT
ap-3143	114	4	ybody	ybody	NOUN
ap-3143	114	5	+	+	NOUN
ap-3143	114	6	r	r	NOUN
ap-3143	114	7	sin	sin	NOUN
ap-3143	114	8	ϕ̇1	ϕ̇1	PROPN
ap-3143	114	9	t	t	PROPN
ap-3143	114	10	)	)	PUNCT
ap-3143	114	11	cos(−ϕ̇2)t	cos(−ϕ̇2)t	PROPN
ap-3143	114	12	.	.	PROPN
ap-3143	114	13	blade	blade	PROPN
ap-3143	114	14	surface	surface	NOUN
ap-3143	114	15	geometry	geometry	NOUN
ap-3143	114	16	was	be	AUX
ap-3143	114	17	defined	define	VERB
ap-3143	114	18	by	by	ADP
ap-3143	114	19	point	point	NOUN
ap-3143	114	20	cloud	cloud	NOUN
ap-3143	114	21	.	.	PUNCT
ap-3143	115	1	the	the	DET
ap-3143	115	2	heat	heat	NOUN
ap-3143	115	3	flux	flux	NOUN
ap-3143	115	4	is	be	AUX
ap-3143	115	5	determined	determine	VERB
ap-3143	115	6	on	on	ADP
ap-3143	115	7	the	the	DET
ap-3143	115	8	basis	basis	NOUN
ap-3143	115	9	of	of	ADP
ap-3143	115	10	the	the	DET
ap-3143	115	11	energy	energy	NOUN
ap-3143	115	12	balance	balance	NOUN
ap-3143	115	13	at	at	ADP
ap-3143	115	14	the	the	DET
ap-3143	115	15	surface	surface	NOUN
ap-3143	115	16	between	between	ADP
ap-3143	115	17	input	input	NOUN
ap-3143	115	18	heat	heat	NOUN
ap-3143	115	19	qin	qin	PROPN
ap-3143	115	20	and	and	CCONJ
ap-3143	115	21	heat	heat	NOUN
ap-3143	115	22	loss	loss	NOUN
ap-3143	115	23	qout	qout	NOUN
ap-3143	115	24	.	.	PUNCT
ap-3143	116	1	for	for	ADP
ap-3143	116	2	plasma	plasma	NOUN
ap-3143	116	3	processes	process	NOUN
ap-3143	116	4	qin	qin	PROPN
ap-3143	116	5	described	describe	VERB
ap-3143	116	6	by	by	ADP
ap-3143	116	7	the	the	DET
ap-3143	116	8	expression	expression	NOUN
ap-3143	116	9	[	[	X
ap-3143	116	10	13	13	NUM
ap-3143	116	11	]	]	SYM
ap-3143	116	12	:	:	PUNCT
ap-3143	116	13	qin	qin	PROPN
ap-3143	116	14	=	=	SYM
ap-3143	116	15	jrad	jrad	PROPN
ap-3143	116	16	,	,	PUNCT
ap-3143	116	17	in	in	ADP
ap-3143	116	18	+	+	CCONJ
ap-3143	116	19	jch	jch	PROPN
ap-3143	116	20	+	+	CCONJ
ap-3143	116	21	jn	jn	PROPN
ap-3143	117	1	+	+	CCONJ
ap-3143	117	2	jads	jad	NOUN
ap-3143	117	3	+	+	CCONJ
ap-3143	117	4	jreact	jreact	VERB
ap-3143	117	5	,	,	PUNCT
ap-3143	117	6	in	in	ADP
ap-3143	117	7	+	+	CCONJ
ap-3143	117	8	jext	jext	NOUN
ap-3143	117	9	,	,	PUNCT
ap-3143	117	10	in	in	ADV
ap-3143	117	11	.	.	PUNCT
ap-3143	118	1	here	here	ADV
ap-3143	118	2	jrad	jrad	PROPN
ap-3143	118	3	,	,	PUNCT
ap-3143	118	4	in	in	ADP
ap-3143	118	5	is	be	AUX
ap-3143	118	6	the	the	DET
ap-3143	118	7	heat	heat	NOUN
ap-3143	118	8	radiation	radiation	NOUN
ap-3143	118	9	towards	towards	ADP
ap-3143	118	10	the	the	DET
ap-3143	118	11	surface	surface	NOUN
ap-3143	118	12	;	;	PUNCT
ap-3143	118	13	jch	jch	PROPN
ap-3143	118	14	is	be	AUX
ap-3143	118	15	the	the	DET
ap-3143	118	16	power	power	NOUN
ap-3143	118	17	transferred	transfer	VERB
ap-3143	118	18	by	by	ADP
ap-3143	118	19	charge	charge	NOUN
ap-3143	118	20	carriers	carrier	NOUN
ap-3143	118	21	(	(	PUNCT
ap-3143	118	22	electrons	electron	NOUN
ap-3143	118	23	and	and	CCONJ
ap-3143	118	24	ions	ion	NOUN
ap-3143	118	25	)	)	PUNCT
ap-3143	118	26	;	;	PUNCT
ap-3143	118	27	jn	jn	PROPN
ap-3143	118	28	is	be	AUX
ap-3143	118	29	the	the	DET
ap-3143	118	30	contribution	contribution	NOUN
ap-3143	118	31	of	of	ADP
ap-3143	118	32	neutral	neutral	ADJ
ap-3143	118	33	species	specie	NOUN
ap-3143	118	34	of	of	ADP
ap-3143	118	35	the	the	DET
ap-3143	118	36	background	background	NOUN
ap-3143	118	37	gas	gas	NOUN
ap-3143	118	38	and	and	CCONJ
ap-3143	118	39	the	the	DET
ap-3143	118	40	neutral	neutral	ADJ
ap-3143	118	41	particles	particle	NOUN
ap-3143	118	42	;	;	PUNCT
ap-3143	118	43	jads	jad	NOUN
ap-3143	118	44	and	and	CCONJ
ap-3143	118	45	jreact	jreact	VERB
ap-3143	118	46	,	,	PUNCT
ap-3143	118	47	in	in	SCONJ
ap-3143	118	48	are	be	AUX
ap-3143	118	49	energies	energy	NOUN
ap-3143	118	50	released	release	VERB
ap-3143	118	51	by	by	ADP
ap-3143	118	52	an	an	DET
ap-3143	118	53	absorption	absorption	NOUN
ap-3143	118	54	or	or	CCONJ
ap-3143	118	55	a	a	DET
ap-3143	118	56	condensation	condensation	NOUN
ap-3143	118	57	and	and	CCONJ
ap-3143	118	58	the	the	DET
ap-3143	118	59	reaction	reaction	NOUN
ap-3143	118	60	energy	energy	NOUN
ap-3143	118	61	of	of	ADP
ap-3143	118	62	exothermic	exothermic	ADJ
ap-3143	118	63	processes	process	NOUN
ap-3143	118	64	including	include	VERB
ap-3143	118	65	molecular	molecular	ADJ
ap-3143	118	66	surface	surface	NOUN
ap-3143	118	67	recombination	recombination	NOUN
ap-3143	118	68	;	;	PUNCT
ap-3143	118	69	jext	jext	NOUN
ap-3143	118	70	,	,	PUNCT
ap-3143	118	71	in	in	ADP
ap-3143	118	72	is	be	AUX
ap-3143	118	73	an	an	DET
ap-3143	118	74	input	input	NOUN
ap-3143	118	75	heat	heat	NOUN
ap-3143	118	76	flux	flux	NOUN
ap-3143	118	77	by	by	ADP
ap-3143	118	78	external	external	ADJ
ap-3143	118	79	sources	source	NOUN
ap-3143	118	80	that	that	PRON
ap-3143	118	81	influences	influence	VERB
ap-3143	118	82	the	the	DET
ap-3143	118	83	thermal	thermal	ADJ
ap-3143	118	84	balance	balance	NOUN
ap-3143	118	85	of	of	ADP
ap-3143	118	86	the	the	DET
ap-3143	118	87	substrate	substrate	NOUN
ap-3143	118	88	.	.	PUNCT
ap-3143	119	1	clearing	clearing	NOUN
ap-3143	119	2	by	by	ADP
ap-3143	119	3	ion	ion	NOUN
ap-3143	119	4	sputtering	sputtering	NOUN
ap-3143	119	5	is	be	AUX
ap-3143	119	6	carried	carry	VERB
ap-3143	119	7	out	out	ADP
ap-3143	119	8	at	at	ADP
ap-3143	119	9	low	low	ADJ
ap-3143	119	10	pressure	pressure	NOUN
ap-3143	119	11	with	with	ADP
ap-3143	119	12	using	use	VERB
ap-3143	119	13	a	a	DET
ap-3143	119	14	high	high	ADJ
ap-3143	119	15	-	-	PUNCT
ap-3143	119	16	purity	purity	NOUN
ap-3143	119	17	neutral	neutral	ADJ
ap-3143	119	18	gases	gas	NOUN
ap-3143	119	19	,	,	PUNCT
ap-3143	119	20	without	without	ADP
ap-3143	119	21	additional	additional	ADJ
ap-3143	119	22	heating	heating	NOUN
ap-3143	119	23	and	and	CCONJ
ap-3143	119	24	cooling	cooling	NOUN
ap-3143	119	25	.	.	PUNCT
ap-3143	120	1	in	in	ADP
ap-3143	120	2	this	this	DET
ap-3143	120	3	case	case	NOUN
ap-3143	120	4	,	,	PUNCT
ap-3143	120	5	the	the	DET
ap-3143	120	6	expression	expression	NOUN
ap-3143	120	7	for	for	ADP
ap-3143	120	8	determining	determine	VERB
ap-3143	120	9	qin	qin	PROPN
ap-3143	120	10	can	can	AUX
ap-3143	120	11	be	be	AUX
ap-3143	120	12	simplified	simplify	VERB
ap-3143	120	13	[	[	PUNCT
ap-3143	120	14	13	13	NUM
ap-3143	120	15	]	]	SYM
ap-3143	120	16	:	:	PUNCT
ap-3143	120	17	qin	qin	PROPN
ap-3143	120	18	=	=	SYM
ap-3143	120	19	jrad	jrad	PROPN
ap-3143	120	20	,	,	PUNCT
ap-3143	120	21	in	in	ADP
ap-3143	120	22	+	+	CCONJ
ap-3143	120	23	jch	jch	NOUN
ap-3143	120	24	=	=	NOUN
ap-3143	120	25	σ(εt	σ(εt	NOUN
ap-3143	120	26	4	4	NUM
ap-3143	120	27	rad	rad	NOUN
ap-3143	120	28	−	−	NOUN
ap-3143	120	29	εst	εst	NOUN
ap-3143	120	30	4	4	NUM
ap-3143	120	31	s	s	NOUN
ap-3143	120	32	)	)	PUNCT
ap-3143	121	1	+	+	CCONJ
ap-3143	121	2	jieion	jieion	NOUN
ap-3143	121	3	+	+	CCONJ
ap-3143	121	4	4kcmims	4kcmims	NUM
ap-3143	121	5	(	(	PUNCT
ap-3143	121	6	mi	mi	NOUN
ap-3143	122	1	+	+	PROPN
ap-3143	122	2	ms)2	ms)2	PROPN
ap-3143	122	3	sin2	sin2	NOUN
ap-3143	122	4	θ	θ	PROPN
ap-3143	122	5	2	2	NUM
ap-3143	122	6	eivbias	eivbia	NOUN
ap-3143	122	7	,	,	PUNCT
ap-3143	122	8	where	where	SCONJ
ap-3143	122	9	ε	ε	PROPN
ap-3143	122	10	is	be	AUX
ap-3143	122	11	the	the	DET
ap-3143	122	12	spectral	spectral	ADJ
ap-3143	122	13	emittance	emittance	NOUN
ap-3143	122	14	of	of	ADP
ap-3143	122	15	the	the	DET
ap-3143	122	16	radiation	radiation	NOUN
ap-3143	122	17	source	source	NOUN
ap-3143	122	18	at	at	ADP
ap-3143	122	19	a	a	DET
ap-3143	122	20	temperature	temperature	NOUN
ap-3143	122	21	trad	trad	NOUN
ap-3143	122	22	;	;	PUNCT
ap-3143	122	23	εs	ε	VERB
ap-3143	122	24	represents	represent	VERB
ap-3143	122	25	the	the	DET
ap-3143	122	26	spectral	spectral	ADJ
ap-3143	122	27	absorbance	absorbance	NOUN
ap-3143	122	28	of	of	ADP
ap-3143	122	29	the	the	DET
ap-3143	122	30	substrate	substrate	NOUN
ap-3143	122	31	surface	surface	NOUN
ap-3143	122	32	at	at	ADP
ap-3143	122	33	a	a	DET
ap-3143	122	34	temperature	temperature	NOUN
ap-3143	122	35	ts	ts	NOUN
ap-3143	122	36	;	;	PUNCT
ap-3143	122	37	σ	σ	PROPN
ap-3143	122	38	denotes	denote	VERB
ap-3143	122	39	the	the	DET
ap-3143	122	40	stefan	stefan	PROPN
ap-3143	122	41	–	–	PUNCT
ap-3143	122	42	boltzmann	boltzmann	PROPN
ap-3143	122	43	constant	constant	PROPN
ap-3143	122	44	;	;	PUNCT
ap-3143	122	45	ji	ji	PROPN
ap-3143	122	46	is	be	AUX
ap-3143	122	47	the	the	DET
ap-3143	122	48	ion	ion	NOUN
ap-3143	122	49	flux	flux	NOUN
ap-3143	122	50	density	density	NOUN
ap-3143	122	51	of	of	ADP
ap-3143	122	52	the	the	DET
ap-3143	122	53	surface	surface	NOUN
ap-3143	122	54	;	;	PUNCT
ap-3143	122	55	eion	eion	NOUN
ap-3143	122	56	is	be	AUX
ap-3143	122	57	the	the	DET
ap-3143	122	58	ionization	ionization	NOUN
ap-3143	122	59	potential	potential	NOUN
ap-3143	122	60	of	of	ADP
ap-3143	122	61	the	the	DET
ap-3143	122	62	incident	incident	NOUN
ap-3143	122	63	ion	ion	NOUN
ap-3143	122	64	;	;	PUNCT
ap-3143	122	65	kc	kc	PROPN
ap-3143	122	66	is	be	AUX
ap-3143	122	67	the	the	DET
ap-3143	122	68	energy	energy	NOUN
ap-3143	122	69	transfer	transfer	NOUN
ap-3143	122	70	coefficient	coefficient	NOUN
ap-3143	122	71	;	;	PUNCT
ap-3143	122	72	mi	mi	PROPN
ap-3143	122	73	,	,	PUNCT
ap-3143	122	74	ms	ms	PROPN
ap-3143	122	75	are	be	AUX
ap-3143	122	76	masses	masse	NOUN
ap-3143	122	77	ratio	ratio	NOUN
ap-3143	122	78	of	of	ADP
ap-3143	122	79	the	the	DET
ap-3143	122	80	colliding	collide	VERB
ap-3143	122	81	particles	particle	NOUN
ap-3143	122	82	(	(	PUNCT
ap-3143	122	83	ion	ion	NOUN
ap-3143	122	84	and	and	CCONJ
ap-3143	122	85	surface	surface	NOUN
ap-3143	122	86	atom	atom	NOUN
ap-3143	122	87	)	)	PUNCT
ap-3143	122	88	;	;	PUNCT
ap-3143	122	89	θ	θ	PROPN
ap-3143	122	90	is	be	AUX
ap-3143	122	91	the	the	DET
ap-3143	122	92	angle	angle	NOUN
ap-3143	122	93	of	of	ADP
ap-3143	122	94	incidence	incidence	NOUN
ap-3143	122	95	;	;	PUNCT
ap-3143	122	96	ei	ei	X
ap-3143	122	97	is	be	AUX
ap-3143	122	98	the	the	DET
ap-3143	122	99	ion	ion	NOUN
ap-3143	122	100	charge	charge	NOUN
ap-3143	122	101	;	;	PUNCT
ap-3143	122	102	vbias	vbia	NOUN
ap-3143	122	103	is	be	AUX
ap-3143	122	104	the	the	DET
ap-3143	122	105	sum	sum	NOUN
ap-3143	122	106	of	of	ADP
ap-3143	122	107	the	the	DET
ap-3143	122	108	plasma	plasma	NOUN
ap-3143	122	109	potential	potential	NOUN
ap-3143	122	110	and	and	CCONJ
ap-3143	122	111	the	the	DET
ap-3143	122	112	substrate	substrate	NOUN
ap-3143	122	113	potential	potential	NOUN
ap-3143	122	114	.	.	PUNCT
ap-3143	123	1	the	the	DET
ap-3143	123	2	heat	heat	NOUN
ap-3143	123	3	loss	loss	NOUN
ap-3143	123	4	qout	qout	NOUN
ap-3143	123	5	of	of	ADP
ap-3143	123	6	the	the	DET
ap-3143	123	7	substrate	substrate	NOUN
ap-3143	123	8	during	during	ADP
ap-3143	123	9	plasma	plasma	NOUN
ap-3143	123	10	processing	processing	NOUN
ap-3143	123	11	consist	consist	NOUN
ap-3143	123	12	of	of	ADP
ap-3143	123	13	the	the	DET
ap-3143	123	14	following	following	ADJ
ap-3143	123	15	terms	term	NOUN
ap-3143	123	16	[	[	X
ap-3143	123	17	13	13	NUM
ap-3143	123	18	]	]	SYM
ap-3143	123	19	:	:	PUNCT
ap-3143	123	20	qout	qout	NOUN
ap-3143	123	21	=	=	SYM
ap-3143	123	22	jrad	jrad	PROPN
ap-3143	123	23	,	,	PUNCT
ap-3143	123	24	out	out	ADP
ap-3143	123	25	+	+	CCONJ
ap-3143	123	26	jparticle	jparticle	NOUN
ap-3143	123	27	+	+	CCONJ
ap-3143	123	28	jdes	jde	NOUN
ap-3143	123	29	+	+	CCONJ
ap-3143	123	30	jreact	jreact	VERB
ap-3143	123	31	,	,	PUNCT
ap-3143	123	32	out	out	ADP
ap-3143	123	33	+	+	CCONJ
ap-3143	123	34	jext	jext	NOUN
ap-3143	123	35	,	,	PUNCT
ap-3143	123	36	out	out	ADV
ap-3143	123	37	.	.	PUNCT
ap-3143	124	1	here	here	ADV
ap-3143	124	2	jrad	jrad	PROPN
ap-3143	124	3	,	,	PUNCT
ap-3143	124	4	out	out	ADV
ap-3143	124	5	is	be	AUX
ap-3143	124	6	the	the	DET
ap-3143	124	7	energy	energy	NOUN
ap-3143	124	8	radiated	radiate	VERB
ap-3143	124	9	from	from	ADP
ap-3143	124	10	the	the	DET
ap-3143	124	11	substrate	substrate	NOUN
ap-3143	124	12	at	at	ADP
ap-3143	124	13	a	a	DET
ap-3143	124	14	temperature	temperature	NOUN
ap-3143	124	15	ts	ts	NOUN
ap-3143	124	16	;	;	PUNCT
ap-3143	124	17	jparticle	jparticle	NOUN
ap-3143	124	18	is	be	AUX
ap-3143	124	19	the	the	DET
ap-3143	124	20	energy	energy	NOUN
ap-3143	124	21	transport	transport	NOUN
ap-3143	124	22	475	475	NUM
ap-3143	124	23	s.	s.	PROPN
ap-3143	124	24	plankovskyy	plankovskyy	NOUN
ap-3143	124	25	,	,	PUNCT
ap-3143	124	26	o.	o.	NOUN
ap-3143	124	27	shypui	shypui	PROPN
ap-3143	124	28	,	,	PUNCT
ap-3143	124	29	y.	y.	PROPN
ap-3143	124	30	tsegelnyk	tsegelnyk	PROPN
ap-3143	125	1	et	et	PROPN
ap-3143	125	2	al	al	PROPN
ap-3143	125	3	.	.	PROPN
ap-3143	125	4	acta	acta	PROPN
ap-3143	125	5	polytechnica	polytechnica	PROPN
ap-3143	125	6	figure	figure	NOUN
ap-3143	125	7	5	5	NUM
ap-3143	125	8	.	.	PUNCT
ap-3143	126	1	the	the	DET
ap-3143	126	2	equipment	equipment	NOUN
ap-3143	126	3	for	for	ADP
ap-3143	126	4	sputtering	sputter	VERB
ap-3143	126	5	and	and	CCONJ
ap-3143	126	6	coating	coating	NOUN
ap-3143	126	7	–	–	PUNCT
ap-3143	126	8	turntable	turntable	ADJ
ap-3143	126	9	with	with	ADP
ap-3143	126	10	blades	blade	NOUN
ap-3143	126	11	and	and	CCONJ
ap-3143	126	12	design	design	NOUN
ap-3143	126	13	scheme	scheme	NOUN
ap-3143	126	14	for	for	ADP
ap-3143	126	15	the	the	DET
ap-3143	126	16	task	task	NOUN
ap-3143	126	17	of	of	ADP
ap-3143	126	18	the	the	DET
ap-3143	126	19	blade	blade	NOUN
ap-3143	126	20	heating	heat	VERB
ap-3143	126	21	under	under	ADP
ap-3143	126	22	ion	ion	NOUN
ap-3143	126	23	sputtering	sputtering	NOUN
ap-3143	126	24	.	.	PUNCT
ap-3143	126	25	from	from	ADP
ap-3143	126	26	the	the	DET
ap-3143	126	27	substrate	substrate	NOUN
ap-3143	126	28	due	due	ADP
ap-3143	126	29	to	to	ADP
ap-3143	126	30	sputtering	sputtering	NOUN
ap-3143	126	31	of	of	ADP
ap-3143	126	32	surface	surface	NOUN
ap-3143	126	33	atoms	atom	NOUN
ap-3143	126	34	and	and	CCONJ
ap-3143	126	35	the	the	DET
ap-3143	126	36	secondary	secondary	ADJ
ap-3143	126	37	electron	electron	NOUN
ap-3143	126	38	emission	emission	NOUN
ap-3143	126	39	;	;	PUNCT
ap-3143	126	40	jdes	jde	NOUN
ap-3143	126	41	is	be	AUX
ap-3143	126	42	the	the	DET
ap-3143	126	43	energy	energy	NOUN
ap-3143	126	44	sink	sink	NOUN
ap-3143	126	45	due	due	ADP
ap-3143	126	46	to	to	ADP
ap-3143	126	47	the	the	DET
ap-3143	126	48	desorption	desorption	NOUN
ap-3143	126	49	of	of	ADP
ap-3143	126	50	particles	particle	NOUN
ap-3143	126	51	into	into	ADP
ap-3143	126	52	the	the	DET
ap-3143	126	53	gas	gas	NOUN
ap-3143	126	54	phase	phase	NOUN
ap-3143	126	55	and	and	CCONJ
ap-3143	126	56	the	the	DET
ap-3143	126	57	diffusion	diffusion	NOUN
ap-3143	126	58	into	into	ADP
ap-3143	126	59	the	the	DET
ap-3143	126	60	solid	solid	ADJ
ap-3143	126	61	bulk	bulk	NOUN
ap-3143	126	62	;	;	PUNCT
ap-3143	126	63	jreact	jreact	NOUN
ap-3143	126	64	,	,	PUNCT
ap-3143	126	65	out	out	ADV
ap-3143	126	66	is	be	AUX
ap-3143	126	67	the	the	DET
ap-3143	126	68	reaction	reaction	NOUN
ap-3143	126	69	energy	energy	NOUN
ap-3143	126	70	of	of	ADP
ap-3143	126	71	exothermic	exothermic	ADJ
ap-3143	126	72	processes	process	NOUN
ap-3143	126	73	,	,	PUNCT
ap-3143	126	74	including	include	VERB
ap-3143	126	75	molecular	molecular	ADJ
ap-3143	126	76	surface	surface	NOUN
ap-3143	126	77	recombination	recombination	NOUN
ap-3143	126	78	;	;	PUNCT
ap-3143	126	79	jext	jext	NOUN
ap-3143	126	80	,	,	PUNCT
ap-3143	126	81	out	out	ADV
ap-3143	126	82	is	be	AUX
ap-3143	126	83	the	the	DET
ap-3143	126	84	heat	heat	NOUN
ap-3143	126	85	loss	loss	NOUN
ap-3143	126	86	caused	cause	VERB
ap-3143	126	87	by	by	ADP
ap-3143	126	88	an	an	DET
ap-3143	126	89	external	external	ADJ
ap-3143	126	90	cooling	cooling	NOUN
ap-3143	126	91	.	.	PUNCT
ap-3143	127	1	subject	subject	ADJ
ap-3143	127	2	to	to	ADP
ap-3143	127	3	the	the	DET
ap-3143	127	4	terms	term	NOUN
ap-3143	127	5	of	of	ADP
ap-3143	127	6	the	the	DET
ap-3143	127	7	ion	ion	NOUN
ap-3143	127	8	cleaning	cleaning	NOUN
ap-3143	127	9	,	,	PUNCT
ap-3143	127	10	the	the	DET
ap-3143	127	11	expression	expression	NOUN
ap-3143	127	12	for	for	ADP
ap-3143	127	13	determining	determine	VERB
ap-3143	127	14	qout	qout	NOUN
ap-3143	127	15	can	can	AUX
ap-3143	127	16	be	be	AUX
ap-3143	127	17	written	write	VERB
ap-3143	127	18	as	as	ADP
ap-3143	127	19	:	:	PUNCT
ap-3143	127	20	qout	qout	NOUN
ap-3143	127	21	=	=	SYM
ap-3143	127	22	jrad	jrad	NOUN
ap-3143	127	23	,	,	PUNCT
ap-3143	127	24	out	out	ADP
ap-3143	127	25	+	+	CCONJ
ap-3143	127	26	jparticle	jparticle	NOUN
ap-3143	127	27	≈	≈	PROPN
ap-3143	127	28	jrad	jrad	PROPN
ap-3143	127	29	,	,	PUNCT
ap-3143	127	30	out	out	ADP
ap-3143	127	31	+	+	CCONJ
ap-3143	127	32	jsputtering	jsputtere	VERB
ap-3143	127	33	=	=	SYM
ap-3143	127	34	σ(εst	σ(εst	PROPN
ap-3143	127	35	4	4	NUM
ap-3143	127	36	s	s	NOUN
ap-3143	127	37	−	−	PROPN
ap-3143	127	38	εenvt	εenvt	NOUN
ap-3143	127	39	4	4	NUM
ap-3143	127	40	env	env	NOUN
ap-3143	127	41	)	)	PUNCT
ap-3143	127	42	+	+	CCONJ
ap-3143	128	1	ksputjiecoh	ksputjiecoh	ADJ
ap-3143	128	2	,	,	PUNCT
ap-3143	128	3	where	where	SCONJ
ap-3143	128	4	εenv	εenv	NOUN
ap-3143	128	5	is	be	AUX
ap-3143	128	6	the	the	DET
ap-3143	128	7	emissivity	emissivity	NOUN
ap-3143	128	8	of	of	ADP
ap-3143	128	9	the	the	DET
ap-3143	128	10	environment	environment	NOUN
ap-3143	128	11	;	;	PUNCT
ap-3143	128	12	tenv	tenv	NOUN
ap-3143	128	13	is	be	AUX
ap-3143	128	14	the	the	DET
ap-3143	128	15	environmental	environmental	ADJ
ap-3143	128	16	temperature	temperature	NOUN
ap-3143	128	17	(	(	PUNCT
ap-3143	128	18	reactor	reactor	NOUN
ap-3143	128	19	walls	wall	NOUN
ap-3143	128	20	,	,	PUNCT
ap-3143	128	21	etc	etc	X
ap-3143	128	22	.	.	X
ap-3143	128	23	)	)	PUNCT
ap-3143	128	24	;	;	PUNCT
ap-3143	128	25	ksput	ksput	PROPN
ap-3143	128	26	is	be	AUX
ap-3143	128	27	the	the	DET
ap-3143	128	28	sputtering	sputtering	ADJ
ap-3143	128	29	coefficient	coefficient	NOUN
ap-3143	128	30	dependent	dependent	ADJ
ap-3143	128	31	on	on	ADP
ap-3143	128	32	the	the	DET
ap-3143	128	33	ion	ion	NOUN
ap-3143	128	34	energy	energy	NOUN
ap-3143	128	35	and	and	CCONJ
ap-3143	128	36	angle	angle	NOUN
ap-3143	128	37	of	of	ADP
ap-3143	128	38	incidence	incidence	NOUN
ap-3143	128	39	;	;	PUNCT
ap-3143	128	40	ecoh	ecoh	NOUN
ap-3143	128	41	is	be	AUX
ap-3143	128	42	the	the	DET
ap-3143	128	43	cohesive	cohesive	ADJ
ap-3143	128	44	energy	energy	NOUN
ap-3143	128	45	of	of	ADP
ap-3143	128	46	sputtered	sputtered	ADJ
ap-3143	128	47	material	material	NOUN
ap-3143	128	48	’s	’s	PART
ap-3143	128	49	atoms	atom	NOUN
ap-3143	128	50	.	.	PUNCT
ap-3143	129	1	the	the	DET
ap-3143	129	2	temperature	temperature	NOUN
ap-3143	129	3	field	field	NOUN
ap-3143	129	4	in	in	ADP
ap-3143	129	5	the	the	DET
ap-3143	129	6	clearing	clearing	NOUN
ap-3143	129	7	blade	blade	NOUN
ap-3143	129	8	was	be	AUX
ap-3143	129	9	calculated	calculate	VERB
ap-3143	129	10	during	during	ADP
ap-3143	129	11	the	the	DET
ap-3143	129	12	simulation	simulation	NOUN
ap-3143	129	13	.	.	PUNCT
ap-3143	130	1	for	for	ADP
ap-3143	130	2	this	this	PRON
ap-3143	130	3	,	,	PUNCT
ap-3143	130	4	the	the	DET
ap-3143	130	5	transient	transient	ADJ
ap-3143	130	6	heat	heat	NOUN
ap-3143	130	7	conduction	conduction	NOUN
ap-3143	130	8	equation	equation	NOUN
ap-3143	130	9	was	be	AUX
ap-3143	130	10	solved	solve	VERB
ap-3143	130	11	.	.	PUNCT
ap-3143	131	1	the	the	DET
ap-3143	131	2	heat	heat	NOUN
ap-3143	131	3	flux	flux	NOUN
ap-3143	131	4	through	through	ADP
ap-3143	131	5	surface	surface	NOUN
ap-3143	131	6	of	of	ADP
ap-3143	131	7	the	the	DET
ap-3143	131	8	blade	blade	NOUN
ap-3143	131	9	was	be	AUX
ap-3143	131	10	specified	specify	VERB
ap-3143	131	11	by	by	ADP
ap-3143	131	12	the	the	DET
ap-3143	131	13	expression	expression	NOUN
ap-3143	131	14	:	:	PUNCT
ap-3143	131	15	w	w	PROPN
ap-3143	131	16	=	=	SYM
ap-3143	131	17	σ(εst	σ(εst	PROPN
ap-3143	131	18	4	4	NUM
ap-3143	131	19	s	s	NOUN
ap-3143	131	20	−	−	PROPN
ap-3143	131	21	εenvt	εenvt	NOUN
ap-3143	131	22	4	4	NUM
ap-3143	131	23	env	env	NOUN
ap-3143	131	24	)	)	PUNCT
ap-3143	132	1	+	+	CCONJ
ap-3143	132	2	φ	φ	PROPN
ap-3143	132	3	(	(	PUNCT
ap-3143	132	4	σ(εt	σ(εt	NOUN
ap-3143	132	5	4	4	NUM
ap-3143	132	6	rad	rad	NOUN
ap-3143	132	7	−	−	NOUN
ap-3143	132	8	εst	εst	NOUN
ap-3143	132	9	4	4	NUM
ap-3143	132	10	s	s	NOUN
ap-3143	132	11	)	)	PUNCT
ap-3143	133	1	+	+	CCONJ
ap-3143	133	2	jieion	jieion	NOUN
ap-3143	133	3	+	+	CCONJ
ap-3143	133	4	4kcmims	4kcmims	NUM
ap-3143	133	5	(	(	PUNCT
ap-3143	133	6	mi	mi	NOUN
ap-3143	133	7	+	+	PROPN
ap-3143	133	8	ms)2	ms)2	PROPN
ap-3143	133	9	sin2	sin2	NOUN
ap-3143	133	10	θ	θ	PROPN
ap-3143	133	11	2	2	NUM
ap-3143	133	12	eivbias	eivbia	NOUN
ap-3143	133	13	−	−	NOUN
ap-3143	133	14	ksputjiecoh	ksputjiecoh	NOUN
ap-3143	133	15	)	)	PUNCT
ap-3143	133	16	,	,	PUNCT
ap-3143	133	17	where	where	SCONJ
ap-3143	133	18	φ	φ	PROPN
ap-3143	133	19	is	be	AUX
ap-3143	133	20	a	a	DET
ap-3143	133	21	switch	switch	NOUN
ap-3143	133	22	-	-	PUNCT
ap-3143	133	23	function	function	NOUN
ap-3143	133	24	,	,	PUNCT
ap-3143	133	25	which	which	PRON
ap-3143	133	26	is	be	AUX
ap-3143	133	27	determined	determine	VERB
ap-3143	133	28	by	by	ADP
ap-3143	133	29	the	the	DET
ap-3143	133	30	expression	expression	NOUN
ap-3143	133	31	(	(	PUNCT
ap-3143	133	32	2	2	NUM
ap-3143	133	33	)	)	PUNCT
ap-3143	133	34	.	.	PUNCT
ap-3143	134	1	dependence	dependence	NOUN
ap-3143	134	2	of	of	ADP
ap-3143	134	3	the	the	DET
ap-3143	134	4	heat	heat	NOUN
ap-3143	134	5	flux	flux	NOUN
ap-3143	134	6	value	value	NOUN
ap-3143	134	7	on	on	ADP
ap-3143	134	8	the	the	DET
ap-3143	134	9	angle	angle	NOUN
ap-3143	134	10	between	between	ADP
ap-3143	134	11	the	the	DET
ap-3143	134	12	direction	direction	NOUN
ap-3143	134	13	of	of	ADP
ap-3143	134	14	ions	ion	NOUN
ap-3143	134	15	flux	flux	NOUN
ap-3143	134	16	and	and	CCONJ
ap-3143	134	17	the	the	DET
ap-3143	134	18	blade	blade	NOUN
ap-3143	134	19	surface	surface	NOUN
ap-3143	134	20	is	be	AUX
ap-3143	134	21	a	a	DET
ap-3143	134	22	feature	feature	NOUN
ap-3143	134	23	of	of	ADP
ap-3143	134	24	the	the	DET
ap-3143	134	25	process	process	NOUN
ap-3143	134	26	.	.	PUNCT
ap-3143	135	1	this	this	DET
ap-3143	135	2	feature	feature	NOUN
ap-3143	135	3	required	require	VERB
ap-3143	135	4	calculating	calculate	VERB
ap-3143	135	5	the	the	DET
ap-3143	135	6	directional	directional	ADJ
ap-3143	135	7	cos	cos	PROPN
ap-3143	135	8	of	of	ADP
ap-3143	135	9	the	the	DET
ap-3143	135	10	normal	normal	ADJ
ap-3143	135	11	to	to	ADP
ap-3143	135	12	the	the	DET
ap-3143	135	13	surface	surface	NOUN
ap-3143	135	14	.	.	PUNCT
ap-3143	136	1	using	use	VERB
ap-3143	136	2	r	r	NOUN
ap-3143	136	3	-	-	PUNCT
ap-3143	136	4	functions	function	NOUN
ap-3143	136	5	makes	make	VERB
ap-3143	136	6	it	it	PRON
ap-3143	136	7	simple	simple	ADJ
ap-3143	136	8	to	to	PART
ap-3143	136	9	solve	solve	VERB
ap-3143	136	10	this	this	DET
ap-3143	136	11	problem	problem	NOUN
ap-3143	136	12	.	.	PUNCT
ap-3143	137	1	if	if	SCONJ
ap-3143	137	2	the	the	DET
ap-3143	137	3	equation	equation	NOUN
ap-3143	137	4	ωi	ωi	PUNCT
ap-3143	137	5	≥	≥	NOUN
ap-3143	137	6	0	0	NUM
ap-3143	137	7	for	for	ADP
ap-3143	137	8	geometric	geometric	ADJ
ap-3143	137	9	primitives	primitive	NOUN
ap-3143	137	10	is	be	AUX
ap-3143	137	11	known	know	VERB
ap-3143	137	12	,	,	PUNCT
ap-3143	137	13	and	and	CCONJ
ap-3143	137	14	for	for	ADP
ap-3143	137	15	a	a	DET
ap-3143	137	16	complex	complex	ADJ
ap-3143	137	17	domain	domain	NOUN
ap-3143	137	18	the	the	DET
ap-3143	137	19	equation	equation	NOUN
ap-3143	137	20	ω(ωi	ω(ωi	NOUN
ap-3143	137	21	)	)	PUNCT
ap-3143	137	22	≥	≥	X
ap-3143	137	23	0	0	NUM
ap-3143	137	24	is	be	AUX
ap-3143	137	25	constructed	construct	VERB
ap-3143	137	26	by	by	ADP
ap-3143	137	27	using	use	VERB
ap-3143	137	28	r	r	NOUN
ap-3143	137	29	-	-	PUNCT
ap-3143	137	30	functions	function	NOUN
ap-3143	137	31	,	,	PUNCT
ap-3143	137	32	than	than	SCONJ
ap-3143	137	33	figure	figure	NOUN
ap-3143	137	34	6	6	NUM
ap-3143	137	35	.	.	PUNCT
ap-3143	137	36	maximum	maximum	ADJ
ap-3143	137	37	blade	blade	NOUN
ap-3143	137	38	surface	surface	NOUN
ap-3143	137	39	temperature	temperature	NOUN
ap-3143	137	40	versus	versus	ADP
ap-3143	137	41	the	the	DET
ap-3143	137	42	sputtering	sputtering	ADJ
ap-3143	137	43	time	time	NOUN
ap-3143	137	44	.	.	PUNCT
ap-3143	138	1	for	for	ADP
ap-3143	138	2	the	the	DET
ap-3143	138	3	function	function	NOUN
ap-3143	138	4	ω∗	ω∗	NOUN
ap-3143	138	5	i	i	PRON
ap-3143	138	6	≥	≥	NOUN
ap-3143	138	7	0	0	NUM
ap-3143	138	8	,	,	PUNCT
ap-3143	138	9	where	where	SCONJ
ap-3143	138	10	ω∗	ω∗	NOUN
ap-3143	138	11	i	i	AUX
ap-3143	138	12	=	=	PUNCT
ap-3143	138	13	ωi√	ωi√	NUM
ap-3143	138	14	ω2	ω2	ADV
ap-3143	138	15	i	i	PRON
ap-3143	138	16	+	+	CCONJ
ap-3143	138	17	(	(	PUNCT
ap-3143	138	18	gradωi)2	gradωi)2	NOUN
ap-3143	138	19	,	,	PUNCT
ap-3143	138	20	the	the	DET
ap-3143	138	21	expressions	expression	NOUN
ap-3143	138	22	∂ω(ω∗	∂ω(ω∗	PROPN
ap-3143	138	23	i	i	PRON
ap-3143	138	24	)	)	PUNCT
ap-3143	139	1	/∂x	/∂x	PROPN
ap-3143	139	2	,	,	PUNCT
ap-3143	139	3	∂ω(ω∗	∂ω(ω∗	PROPN
ap-3143	139	4	i	i	INTJ
ap-3143	139	5	)	)	PUNCT
ap-3143	140	1	/∂y	/∂y	PROPN
ap-3143	140	2	,	,	PUNCT
ap-3143	140	3	∂ω(ω∗	∂ω(ω∗	PROPN
ap-3143	140	4	i	i	PROPN
ap-3143	140	5	)	)	PUNCT
ap-3143	140	6	/∂z	/∂z	PROPN
ap-3143	140	7	will	will	AUX
ap-3143	140	8	determine	determine	VERB
ap-3143	140	9	the	the	DET
ap-3143	140	10	direction	direction	NOUN
ap-3143	140	11	cosines	cosine	NOUN
ap-3143	140	12	of	of	ADP
ap-3143	140	13	the	the	DET
ap-3143	140	14	interior	interior	ADJ
ap-3143	140	15	normal	normal	ADJ
ap-3143	140	16	to	to	ADP
ap-3143	140	17	the	the	DET
ap-3143	140	18	corresponding	corresponding	ADJ
ap-3143	140	19	coordinate	coordinate	NOUN
ap-3143	140	20	axes	axis	NOUN
ap-3143	140	21	[	[	X
ap-3143	140	22	12	12	NUM
ap-3143	140	23	]	]	PUNCT
ap-3143	140	24	.	.	PUNCT
ap-3143	141	1	parameters	parameter	NOUN
ap-3143	141	2	of	of	ADP
ap-3143	141	3	sputtering	sputtering	NOUN
ap-3143	141	4	(	(	PUNCT
ap-3143	141	5	such	such	ADJ
ap-3143	141	6	as	as	ADP
ap-3143	141	7	value	value	NOUN
ap-3143	141	8	of	of	ADP
ap-3143	141	9	the	the	DET
ap-3143	141	10	ions	ion	NOUN
ap-3143	141	11	energy	energy	NOUN
ap-3143	141	12	,	,	PUNCT
ap-3143	141	13	rotation	rotation	NOUN
ap-3143	141	14	speed	speed	NOUN
ap-3143	141	15	of	of	ADP
ap-3143	141	16	the	the	DET
ap-3143	141	17	turntable	turntable	NOUN
ap-3143	141	18	and	and	CCONJ
ap-3143	141	19	the	the	DET
ap-3143	141	20	blade	blade	NOUN
ap-3143	141	21	)	)	PUNCT
ap-3143	141	22	have	have	AUX
ap-3143	141	23	been	be	AUX
ap-3143	141	24	determined	determine	VERB
ap-3143	141	25	with	with	ADP
ap-3143	141	26	respect	respect	NOUN
ap-3143	141	27	to	to	ADP
ap-3143	141	28	the	the	DET
ap-3143	141	29	temperature	temperature	NOUN
ap-3143	141	30	limit	limit	NOUN
ap-3143	141	31	,	,	PUNCT
ap-3143	141	32	so	so	CCONJ
ap-3143	141	33	the	the	DET
ap-3143	141	34	maximum	maximum	ADJ
ap-3143	141	35	surface	surface	NOUN
ap-3143	141	36	temperature	temperature	NOUN
ap-3143	141	37	should	should	AUX
ap-3143	141	38	not	not	PART
ap-3143	141	39	exceed	exceed	VERB
ap-3143	141	40	the	the	DET
ap-3143	141	41	temperature	temperature	NOUN
ap-3143	141	42	of	of	ADP
ap-3143	141	43	the	the	DET
ap-3143	141	44	material	material	NOUN
ap-3143	141	45	phase	phase	NOUN
ap-3143	141	46	transition	transition	NOUN
ap-3143	141	47	.	.	PUNCT
ap-3143	142	1	additionally	additionally	ADV
ap-3143	142	2	,	,	PUNCT
ap-3143	142	3	the	the	DET
ap-3143	142	4	condition	condition	NOUN
ap-3143	142	5	,	,	PUNCT
ap-3143	142	6	in	in	ADP
ap-3143	142	7	which	which	PRON
ap-3143	142	8	the	the	DET
ap-3143	142	9	minimum	minimum	ADJ
ap-3143	142	10	value	value	NOUN
ap-3143	142	11	of	of	ADP
ap-3143	142	12	the	the	DET
ap-3143	142	13	sputtered	sputter	VERB
ap-3143	142	14	material	material	NOUN
ap-3143	142	15	layer	layer	NOUN
ap-3143	142	16	should	should	AUX
ap-3143	142	17	not	not	PART
ap-3143	142	18	be	be	AUX
ap-3143	142	19	less	less	ADJ
ap-3143	142	20	than	than	ADP
ap-3143	142	21	a	a	DET
ap-3143	142	22	predetermined	predetermine	VERB
ap-3143	142	23	value	value	NOUN
ap-3143	142	24	throughout	throughout	ADP
ap-3143	142	25	surface	surface	NOUN
ap-3143	142	26	of	of	ADP
ap-3143	142	27	the	the	DET
ap-3143	142	28	blade	blade	NOUN
ap-3143	142	29	,	,	PUNCT
ap-3143	142	30	was	be	AUX
ap-3143	142	31	applied	apply	VERB
ap-3143	142	32	.	.	PUNCT
ap-3143	143	1	the	the	DET
ap-3143	143	2	graphs	graph	NOUN
ap-3143	143	3	of	of	ADP
ap-3143	143	4	the	the	DET
ap-3143	143	5	maximum	maximum	ADJ
ap-3143	143	6	temperature	temperature	NOUN
ap-3143	143	7	change	change	NOUN
ap-3143	143	8	in	in	ADP
ap-3143	143	9	a	a	DET
ap-3143	143	10	checkpoint	checkpoint	NOUN
ap-3143	143	11	of	of	ADP
ap-3143	143	12	the	the	DET
ap-3143	143	13	blade	blade	NOUN
ap-3143	143	14	at	at	ADP
ap-3143	143	15	a	a	DET
ap-3143	143	16	various	various	ADJ
ap-3143	143	17	ion	ion	NOUN
ap-3143	143	18	beam	beam	NOUN
ap-3143	143	19	energy	energy	NOUN
ap-3143	143	20	is	be	AUX
ap-3143	143	21	shown	show	VERB
ap-3143	143	22	in	in	ADP
ap-3143	143	23	figure	figure	NOUN
ap-3143	143	24	6	6	NUM
ap-3143	143	25	.	.	PUNCT
ap-3143	143	26	based	base	VERB
ap-3143	143	27	on	on	ADP
ap-3143	143	28	the	the	DET
ap-3143	143	29	simulation	simulation	NOUN
ap-3143	143	30	results	result	NOUN
ap-3143	143	31	,	,	PUNCT
ap-3143	143	32	recommendations	recommendation	NOUN
ap-3143	143	33	on	on	ADP
ap-3143	143	34	the	the	DET
ap-3143	143	35	choice	choice	NOUN
ap-3143	143	36	parameters	parameter	NOUN
ap-3143	143	37	of	of	ADP
ap-3143	143	38	the	the	DET
ap-3143	143	39	sputtering	sputtering	NOUN
ap-3143	143	40	of	of	ADP
ap-3143	143	41	the	the	DET
ap-3143	143	42	blades	blade	NOUN
ap-3143	143	43	have	have	AUX
ap-3143	143	44	been	be	AUX
ap-3143	143	45	made	make	VERB
ap-3143	143	46	.	.	PUNCT
ap-3143	144	1	criterion	criterion	NOUN
ap-3143	144	2	of	of	ADP
ap-3143	144	3	choice	choice	NOUN
ap-3143	144	4	was	be	AUX
ap-3143	144	5	the	the	DET
ap-3143	144	6	minimum	minimum	ADJ
ap-3143	144	7	time	time	NOUN
ap-3143	144	8	of	of	ADP
ap-3143	144	9	the	the	DET
ap-3143	144	10	sputtering	sputtering	NOUN
ap-3143	144	11	while	while	NOUN
ap-3143	144	12	respecting	respect	VERB
ap-3143	144	13	the	the	DET
ap-3143	144	14	temperature	temperature	NOUN
ap-3143	144	15	limitations	limitation	NOUN
ap-3143	144	16	.	.	PUNCT
ap-3143	145	1	476	476	NUM
ap-3143	145	2	vol	vol	NOUN
ap-3143	145	3	.	.	PUNCT
ap-3143	146	1	56	56	NUM
ap-3143	146	2	no	no	NOUN
ap-3143	146	3	.	.	PUNCT
ap-3143	147	1	6/2016	6/2016	NUM
ap-3143	147	2	simulation	simulation	NOUN
ap-3143	147	3	of	of	ADP
ap-3143	147	4	surface	surface	NOUN
ap-3143	147	5	heating	heat	VERB
ap-3143	147	6	4	4	NUM
ap-3143	147	7	.	.	PUNCT
ap-3143	147	8	conclusions	conclusion	NOUN
ap-3143	147	9	the	the	DET
ap-3143	147	10	use	use	NOUN
ap-3143	147	11	of	of	ADP
ap-3143	147	12	r	r	NOUN
ap-3143	147	13	-	-	PUNCT
ap-3143	147	14	functions	function	NOUN
ap-3143	147	15	can	can	AUX
ap-3143	147	16	significantly	significantly	ADV
ap-3143	147	17	reduce	reduce	VERB
ap-3143	147	18	the	the	DET
ap-3143	147	19	amount	amount	NOUN
ap-3143	147	20	of	of	ADP
ap-3143	147	21	tracing	trace	VERB
ap-3143	147	22	computations	computation	NOUN
ap-3143	147	23	.	.	PUNCT
ap-3143	148	1	the	the	DET
ap-3143	148	2	abovementioned	abovementioned	ADJ
ap-3143	148	3	effect	effect	NOUN
ap-3143	148	4	is	be	AUX
ap-3143	148	5	due	due	ADJ
ap-3143	148	6	to	to	ADP
ap-3143	148	7	the	the	DET
ap-3143	148	8	analytical	analytical	ADJ
ap-3143	148	9	determination	determination	NOUN
ap-3143	148	10	of	of	ADP
ap-3143	148	11	points	point	NOUN
ap-3143	148	12	falling	fall	VERB
ap-3143	148	13	within	within	ADP
ap-3143	148	14	the	the	DET
ap-3143	148	15	scope	scope	NOUN
ap-3143	148	16	of	of	ADP
ap-3143	148	17	the	the	DET
ap-3143	148	18	source	source	NOUN
ap-3143	148	19	.	.	PUNCT
ap-3143	149	1	the	the	DET
ap-3143	149	2	point	point	NOUN
ap-3143	149	3	clouds	cloud	NOUN
ap-3143	149	4	produced	produce	VERB
ap-3143	149	5	by	by	ADP
ap-3143	149	6	the	the	DET
ap-3143	149	7	3d	3d	PROPN
ap-3143	149	8	scanners	scanner	NOUN
ap-3143	149	9	can	can	AUX
ap-3143	149	10	be	be	AUX
ap-3143	149	11	used	use	VERB
ap-3143	149	12	for	for	ADP
ap-3143	149	13	this	this	DET
ap-3143	149	14	purpose	purpose	NOUN
ap-3143	149	15	.	.	PUNCT
ap-3143	150	1	the	the	DET
ap-3143	150	2	numerical	numerical	ADJ
ap-3143	150	3	realization	realization	NOUN
ap-3143	150	4	of	of	ADP
ap-3143	150	5	the	the	DET
ap-3143	150	6	proposed	propose	VERB
ap-3143	150	7	method	method	NOUN
ap-3143	150	8	requires	require	VERB
ap-3143	150	9	an	an	DET
ap-3143	150	10	accurate	accurate	ADJ
ap-3143	150	11	build	build	NOUN
ap-3143	150	12	numerical	numerical	ADJ
ap-3143	150	13	mesh	mesh	NOUN
ap-3143	150	14	.	.	PUNCT
ap-3143	151	1	the	the	DET
ap-3143	151	2	best	good	ADJ
ap-3143	151	3	results	result	NOUN
ap-3143	151	4	in	in	ADP
ap-3143	151	5	terms	term	NOUN
ap-3143	151	6	of	of	ADP
ap-3143	151	7	accuracy	accuracy	NOUN
ap-3143	151	8	of	of	ADP
ap-3143	151	9	determination	determination	NOUN
ap-3143	151	10	the	the	DET
ap-3143	151	11	scope	scope	NOUN
ap-3143	151	12	of	of	ADP
ap-3143	151	13	the	the	DET
ap-3143	151	14	source	source	NOUN
ap-3143	151	15	can	can	AUX
ap-3143	151	16	be	be	AUX
ap-3143	151	17	expected	expect	VERB
ap-3143	151	18	,	,	PUNCT
ap-3143	151	19	when	when	SCONJ
ap-3143	151	20	applying	apply	VERB
ap-3143	151	21	adaptive	adaptive	ADJ
ap-3143	151	22	tunable	tunable	ADJ
ap-3143	151	23	meshes	mesh	NOUN
ap-3143	151	24	.	.	PUNCT
ap-3143	152	1	the	the	DET
ap-3143	152	2	proposed	propose	VERB
ap-3143	152	3	approach	approach	NOUN
ap-3143	152	4	can	can	AUX
ap-3143	152	5	be	be	AUX
ap-3143	152	6	applied	apply	VERB
ap-3143	152	7	to	to	ADP
ap-3143	152	8	cases	case	NOUN
ap-3143	152	9	with	with	ADP
ap-3143	152	10	an	an	DET
ap-3143	152	11	arbitrary	arbitrary	ADJ
ap-3143	152	12	number	number	NOUN
ap-3143	152	13	of	of	ADP
ap-3143	152	14	heat	heat	NOUN
ap-3143	152	15	sources	source	NOUN
ap-3143	152	16	considering	consider	VERB
ap-3143	152	17	that	that	SCONJ
ap-3143	152	18	the	the	DET
ap-3143	152	19	law	law	NOUN
ap-3143	152	20	of	of	ADP
ap-3143	152	21	body	body	NOUN
ap-3143	152	22	motion	motion	NOUN
ap-3143	152	23	is	be	AUX
ap-3143	152	24	known	know	VERB
ap-3143	152	25	.	.	PUNCT
ap-3143	153	1	it	it	PRON
ap-3143	153	2	can	can	AUX
ap-3143	153	3	also	also	ADV
ap-3143	153	4	be	be	AUX
ap-3143	153	5	used	use	VERB
ap-3143	153	6	in	in	ADP
ap-3143	153	7	mass	mass	ADJ
ap-3143	153	8	transfer	transfer	NOUN
ap-3143	153	9	problems	problem	NOUN
ap-3143	153	10	,	,	PUNCT
ap-3143	153	11	such	such	ADJ
ap-3143	153	12	as	as	ADP
ap-3143	153	13	simulation	simulation	NOUN
ap-3143	153	14	coating	coating	NOUN
ap-3143	153	15	,	,	PUNCT
ap-3143	153	16	painting	painting	NOUN
ap-3143	153	17	or	or	CCONJ
ap-3143	153	18	clearing	clear	VERB
ap-3143	153	19	bodies	body	NOUN
ap-3143	153	20	with	with	ADP
ap-3143	153	21	complex	complex	ADJ
ap-3143	153	22	geometric	geometric	ADJ
ap-3143	153	23	shapes	shape	NOUN
ap-3143	153	24	.	.	PUNCT
ap-3143	154	1	in	in	ADP
ap-3143	154	2	case	case	NOUN
ap-3143	154	3	of	of	ADP
ap-3143	154	4	integration	integration	NOUN
ap-3143	154	5	of	of	ADP
ap-3143	154	6	the	the	DET
ap-3143	154	7	r	r	NOUN
ap-3143	154	8	-	-	PUNCT
ap-3143	154	9	functions	function	NOUN
ap-3143	154	10	in	in	ADP
ap-3143	154	11	cad	cad	PROPN
ap-3143	154	12	system	system	NOUN
ap-3143	154	13	,	,	PUNCT
ap-3143	154	14	the	the	DET
ap-3143	154	15	use	use	NOUN
ap-3143	154	16	of	of	ADP
ap-3143	154	17	the	the	DET
ap-3143	154	18	proposed	propose	VERB
ap-3143	154	19	method	method	NOUN
ap-3143	154	20	would	would	AUX
ap-3143	154	21	be	be	AUX
ap-3143	154	22	simple	simple	ADJ
ap-3143	154	23	enough	enough	ADV
ap-3143	154	24	.	.	PUNCT
ap-3143	155	1	references	reference	NOUN
ap-3143	155	2	[	[	X
ap-3143	155	3	1	1	NUM
ap-3143	155	4	]	]	X
ap-3143	155	5	komanduri	komanduri	PROPN
ap-3143	155	6	,	,	PUNCT
ap-3143	155	7	r.	r.	PROPN
ap-3143	155	8	,	,	PUNCT
ap-3143	155	9	hou	hou	PROPN
ap-3143	155	10	,	,	PUNCT
ap-3143	155	11	z.b	z.b	PROPN
ap-3143	155	12	.	.	PROPN
ap-3143	155	13	thermal	thermal	ADJ
ap-3143	155	14	modeling	modeling	NOUN
ap-3143	155	15	of	of	ADP
ap-3143	155	16	the	the	DET
ap-3143	155	17	metal	metal	NOUN
ap-3143	155	18	cutting	cutting	NOUN
ap-3143	155	19	process	process	NOUN
ap-3143	155	20	–	–	PUNCT
ap-3143	155	21	part	part	NOUN
ap-3143	155	22	ii	ii	NOUN
ap-3143	155	23	:	:	PUNCT
ap-3143	155	24	temperature	temperature	NOUN
ap-3143	155	25	rise	rise	NOUN
ap-3143	155	26	distribution	distribution	NOUN
ap-3143	155	27	due	due	ADP
ap-3143	155	28	to	to	ADP
ap-3143	155	29	frictional	frictional	ADJ
ap-3143	155	30	heat	heat	NOUN
ap-3143	155	31	source	source	NOUN
ap-3143	155	32	at	at	ADP
ap-3143	155	33	the	the	DET
ap-3143	155	34	tool	tool	NOUN
ap-3143	155	35	–	–	PUNCT
ap-3143	155	36	chip	chip	NOUN
ap-3143	155	37	interface	interface	NOUN
ap-3143	155	38	.	.	PUNCT
ap-3143	156	1	international	international	ADJ
ap-3143	156	2	journal	journal	PROPN
ap-3143	156	3	of	of	ADP
ap-3143	156	4	mechanical	mechanical	PROPN
ap-3143	156	5	sciences	sciences	PROPN
ap-3143	156	6	43:57	43:57	NUM
ap-3143	156	7	-	-	SYM
ap-3143	156	8	88	88	NUM
ap-3143	156	9	,	,	PUNCT
ap-3143	156	10	2001	2001	NUM
ap-3143	156	11	.	.	PUNCT
ap-3143	157	1	doi:10.1016	doi:10.1016	PROPN
ap-3143	157	2	/	/	SYM
ap-3143	157	3	s0020	s0020	ADP
ap-3143	157	4	-	-	PUNCT
ap-3143	157	5	7403(99)00104	7403(99)00104	NOUN
ap-3143	157	6	-	-	PUNCT
ap-3143	157	7	6	6	NUM
ap-3143	157	8	[	[	SYM
ap-3143	157	9	2	2	NUM
ap-3143	157	10	]	]	X
ap-3143	157	11	cline	cline	PROPN
ap-3143	157	12	,	,	PUNCT
ap-3143	157	13	h.e	h.e	PROPN
ap-3143	157	14	.	.	PROPN
ap-3143	157	15	,	,	PUNCT
ap-3143	157	16	anthony	anthony	PROPN
ap-3143	157	17	,	,	PUNCT
ap-3143	157	18	t.r	t.r	PROPN
ap-3143	157	19	.	.	PROPN
ap-3143	157	20	heat	heat	PROPN
ap-3143	157	21	treating	treat	VERB
ap-3143	157	22	and	and	CCONJ
ap-3143	157	23	melting	melt	VERB
ap-3143	157	24	material	material	NOUN
ap-3143	157	25	with	with	ADP
ap-3143	157	26	a	a	DET
ap-3143	157	27	scanning	scan	VERB
ap-3143	157	28	laser	laser	NOUN
ap-3143	157	29	or	or	CCONJ
ap-3143	157	30	electron	electron	NOUN
ap-3143	157	31	beam	beam	NOUN
ap-3143	157	32	.	.	PUNCT
ap-3143	158	1	journal	journal	PROPN
ap-3143	158	2	of	of	ADP
ap-3143	158	3	applied	apply	VERB
ap-3143	158	4	physics	physics	NOUN
ap-3143	158	5	48(9):3895	48(9):3895	PROPN
ap-3143	158	6	-	-	PUNCT
ap-3143	158	7	900	900	NUM
ap-3143	158	8	,	,	PUNCT
ap-3143	158	9	1977	1977	NUM
ap-3143	158	10	.	.	PUNCT
ap-3143	159	1	doi:10.1063/1.324261	doi:10.1063/1.324261	NOUN
ap-3143	159	2	[	[	X
ap-3143	159	3	3	3	NUM
ap-3143	159	4	]	]	X
ap-3143	159	5	rosenthal	rosenthal	NOUN
ap-3143	159	6	,	,	PUNCT
ap-3143	159	7	d.	d.	PROPN
ap-3143	159	8	the	the	DET
ap-3143	159	9	theory	theory	NOUN
ap-3143	159	10	of	of	ADP
ap-3143	159	11	moving	move	VERB
ap-3143	159	12	sources	source	NOUN
ap-3143	159	13	of	of	ADP
ap-3143	159	14	heat	heat	NOUN
ap-3143	159	15	and	and	CCONJ
ap-3143	159	16	its	its	PRON
ap-3143	159	17	application	application	NOUN
ap-3143	159	18	to	to	ADP
ap-3143	159	19	metal	metal	NOUN
ap-3143	159	20	treatments	treatment	NOUN
ap-3143	159	21	.	.	PUNCT
ap-3143	160	1	transaction	transaction	NOUN
ap-3143	160	2	of	of	ADP
ap-3143	160	3	the	the	DET
ap-3143	160	4	american	american	ADJ
ap-3143	160	5	society	society	NOUN
ap-3143	160	6	of	of	ADP
ap-3143	160	7	mechanical	mechanical	ADJ
ap-3143	160	8	engineers	engineer	NOUN
ap-3143	160	9	68:849	68:849	NUM
ap-3143	160	10	-	-	SYM
ap-3143	160	11	66	66	NUM
ap-3143	160	12	,	,	PUNCT
ap-3143	160	13	1946	1946	NUM
ap-3143	160	14	.	.	PUNCT
ap-3143	161	1	[	[	X
ap-3143	161	2	4	4	NUM
ap-3143	161	3	]	]	X
ap-3143	161	4	liu	liu	PROPN
ap-3143	161	5	,	,	PUNCT
ap-3143	161	6	s.	s.	PROPN
ap-3143	161	7	,	,	PUNCT
ap-3143	161	8	lannou	lannou	PROPN
ap-3143	161	9	,	,	PUNCT
ap-3143	161	10	s.	s.	PROPN
ap-3143	161	11	,	,	PUNCT
ap-3143	161	12	wang	wang	PROPN
ap-3143	161	13	,	,	PUNCT
ap-3143	161	14	q.	q.	PROPN
ap-3143	161	15	,	,	PUNCT
ap-3143	161	16	keer	keer	PROPN
ap-3143	161	17	,	,	PUNCT
ap-3143	161	18	l.	l.	PROPN
ap-3143	161	19	solutions	solution	NOUN
ap-3143	161	20	for	for	ADP
ap-3143	161	21	temperature	temperature	NOUN
ap-3143	161	22	rise	rise	NOUN
ap-3143	161	23	in	in	ADP
ap-3143	161	24	stationary	stationary	ADJ
ap-3143	161	25	/	/	SYM
ap-3143	161	26	moving	move	VERB
ap-3143	161	27	bodies	body	NOUN
ap-3143	161	28	caused	cause	VERB
ap-3143	161	29	by	by	ADP
ap-3143	161	30	surface	surface	NOUN
ap-3143	161	31	heating	heating	NOUN
ap-3143	161	32	with	with	ADP
ap-3143	161	33	surface	surface	NOUN
ap-3143	161	34	convection	convection	NOUN
ap-3143	161	35	.	.	PUNCT
ap-3143	162	1	journal	journal	NOUN
ap-3143	162	2	of	of	ADP
ap-3143	162	3	heat	heat	NOUN
ap-3143	162	4	transfer	transfer	NOUN
ap-3143	162	5	126:776	126:776	NOUN
ap-3143	162	6	-	-	PUNCT
ap-3143	162	7	85	85	NUM
ap-3143	162	8	,	,	PUNCT
ap-3143	162	9	2004	2004	NUM
ap-3143	162	10	.	.	PUNCT
ap-3143	163	1	doi:10.1115/1.1795234	doi:10.1115/1.1795234	NOUN
ap-3143	163	2	[	[	X
ap-3143	163	3	5	5	NUM
ap-3143	163	4	]	]	X
ap-3143	163	5	akbari	akbari	PROPN
ap-3143	163	6	,	,	PUNCT
ap-3143	163	7	m.	m.	NOUN
ap-3143	163	8	,	,	PUNCT
ap-3143	163	9	sinton	sinton	PROPN
ap-3143	163	10	,	,	PUNCT
ap-3143	163	11	d.	d.	PROPN
ap-3143	163	12	,	,	PUNCT
ap-3143	163	13	bahrami	bahrami	NOUN
ap-3143	163	14	,	,	PUNCT
ap-3143	163	15	m.	m.	NOUN
ap-3143	163	16	geometrical	geometrical	ADJ
ap-3143	163	17	effects	effect	NOUN
ap-3143	163	18	on	on	ADP
ap-3143	163	19	the	the	DET
ap-3143	163	20	temperature	temperature	NOUN
ap-3143	163	21	distribution	distribution	NOUN
ap-3143	163	22	in	in	ADP
ap-3143	163	23	a	a	DET
ap-3143	163	24	half	half	ADJ
ap-3143	163	25	-	-	PUNCT
ap-3143	163	26	space	space	NOUN
ap-3143	163	27	due	due	ADP
ap-3143	163	28	to	to	ADP
ap-3143	163	29	a	a	DET
ap-3143	163	30	moving	move	VERB
ap-3143	163	31	heat	heat	NOUN
ap-3143	163	32	source	source	NOUN
ap-3143	163	33	.	.	PUNCT
ap-3143	164	1	journal	journal	PROPN
ap-3143	164	2	of	of	ADP
ap-3143	164	3	heat	heat	NOUN
ap-3143	164	4	transfer	transfer	NOUN
ap-3143	164	5	133:064502	133:064502	NUM
ap-3143	164	6	-	-	PUNCT
ap-3143	164	7	1	1	NUM
ap-3143	164	8	-	-	SYM
ap-3143	164	9	10	10	NUM
ap-3143	164	10	,	,	PUNCT
ap-3143	164	11	2011	2011	NUM
ap-3143	164	12	.	.	PUNCT
ap-3143	165	1	doi:10.1115/1.4003155	doi:10.1115/1.4003155	VERB
ap-3143	165	2	[	[	X
ap-3143	165	3	6	6	NUM
ap-3143	165	4	]	]	X
ap-3143	165	5	zhou	zhou	PROPN
ap-3143	165	6	,	,	PUNCT
ap-3143	165	7	h.	h.	PROPN
ap-3143	165	8	temperature	temperature	NOUN
ap-3143	165	9	rise	rise	NOUN
ap-3143	165	10	induced	induce	VERB
ap-3143	165	11	by	by	ADP
ap-3143	165	12	a	a	DET
ap-3143	165	13	rotating	rotating	NOUN
ap-3143	165	14	or	or	CCONJ
ap-3143	165	15	dithering	dither	VERB
ap-3143	165	16	laser	laser	NOUN
ap-3143	165	17	beam	beam	NOUN
ap-3143	165	18	.	.	PUNCT
ap-3143	166	1	advanced	advanced	ADJ
ap-3143	166	2	studies	study	NOUN
ap-3143	166	3	in	in	ADP
ap-3143	166	4	theoretical	theoretical	ADJ
ap-3143	166	5	physics	physics	NOUN
ap-3143	166	6	5(10):443	5(10):443	PROPN
ap-3143	166	7	-	-	SYM
ap-3143	166	8	68	68	NUM
ap-3143	166	9	,	,	PUNCT
ap-3143	166	10	2011	2011	NUM
ap-3143	166	11	.	.	PUNCT
ap-3143	167	1	http://hdl.handle.net/10945/25571	http://hdl.handle.net/10945/25571	PROPN
ap-3143	168	1	[	[	X
ap-3143	168	2	7	7	NUM
ap-3143	168	3	]	]	X
ap-3143	168	4	jung	jung	PROPN
ap-3143	168	5	,	,	PUNCT
ap-3143	168	6	j.w	j.w	PROPN
ap-3143	168	7	.	.	PROPN
ap-3143	168	8	,	,	PUNCT
ap-3143	168	9	lee	lee	PROPN
ap-3143	168	10	,	,	PUNCT
ap-3143	168	11	c.m	c.m	PROPN
ap-3143	168	12	.	.	PROPN
ap-3143	168	13	cutting	cut	VERB
ap-3143	168	14	temperature	temperature	NOUN
ap-3143	168	15	and	and	CCONJ
ap-3143	168	16	laser	laser	NOUN
ap-3143	168	17	beam	beam	NOUN
ap-3143	168	18	temperature	temperature	NOUN
ap-3143	168	19	effects	effect	NOUN
ap-3143	168	20	on	on	ADP
ap-3143	168	21	cutting	cut	VERB
ap-3143	168	22	tool	tool	NOUN
ap-3143	168	23	deformation	deformation	NOUN
ap-3143	168	24	in	in	ADP
ap-3143	168	25	laser	laser	NOUN
ap-3143	168	26	-	-	PUNCT
ap-3143	168	27	assisted	assist	VERB
ap-3143	168	28	machining	machining	NOUN
ap-3143	168	29	.	.	PUNCT
ap-3143	169	1	in	in	ADP
ap-3143	169	2	proceedings	proceeding	NOUN
ap-3143	169	3	of	of	ADP
ap-3143	169	4	the	the	DET
ap-3143	169	5	international	international	ADJ
ap-3143	169	6	multiconference	multiconference	NOUN
ap-3143	169	7	of	of	ADP
ap-3143	169	8	engineers	engineer	NOUN
ap-3143	169	9	and	and	CCONJ
ap-3143	169	10	computer	computer	NOUN
ap-3143	169	11	scientists	scientist	NOUN
ap-3143	169	12	(	(	PUNCT
ap-3143	169	13	imecs	imecs	NOUN
ap-3143	169	14	2009	2009	NUM
ap-3143	169	15	)	)	PUNCT
ap-3143	169	16	vol	vol	NOUN
ap-3143	169	17	.	.	PUNCT
ap-3143	169	18	ii	ii	PROPN
ap-3143	169	19	,	,	PUNCT
ap-3143	169	20	hong	hong	PROPN
ap-3143	169	21	kong	kong	PROPN
ap-3143	169	22	,	,	PUNCT
ap-3143	169	23	march	march	PROPN
ap-3143	169	24	18	18	NUM
ap-3143	169	25	-	-	SYM
ap-3143	169	26	20	20	NUM
ap-3143	169	27	,	,	PUNCT
ap-3143	169	28	2009	2009	NUM
ap-3143	169	29	,	,	PUNCT
ap-3143	169	30	pp	pp	ADJ
ap-3143	169	31	.	.	PUNCT
ap-3143	169	32	1817	1817	NUM
ap-3143	169	33	-	-	SYM
ap-3143	169	34	22	22	NUM
ap-3143	169	35	.	.	PUNCT
ap-3143	170	1	[	[	X
ap-3143	170	2	8	8	NUM
ap-3143	170	3	]	]	X
ap-3143	170	4	kay	kay	PROPN
ap-3143	170	5	,	,	PUNCT
ap-3143	170	6	d.s	d.s	PROPN
ap-3143	170	7	.	.	PROPN
ap-3143	170	8	transparency	transparency	NOUN
ap-3143	170	9	,	,	PUNCT
ap-3143	170	10	refraction	refraction	NOUN
ap-3143	170	11	and	and	CCONJ
ap-3143	170	12	ray	ray	NOUN
ap-3143	170	13	tracing	trace	VERB
ap-3143	170	14	for	for	ADP
ap-3143	170	15	computer	computer	NOUN
ap-3143	170	16	synthesized	synthesize	VERB
ap-3143	170	17	images	image	NOUN
ap-3143	170	18	.	.	PUNCT
ap-3143	171	1	master	master	NOUN
ap-3143	171	2	’s	’s	PART
ap-3143	171	3	thesis	thesis	NOUN
ap-3143	171	4	in	in	ADP
ap-3143	171	5	program	program	NOUN
ap-3143	171	6	of	of	ADP
ap-3143	171	7	computer	computer	NOUN
ap-3143	171	8	graphics	graphic	NOUN
ap-3143	171	9	,	,	PUNCT
ap-3143	171	10	cornell	cornell	PROPN
ap-3143	171	11	university	university	PROPN
ap-3143	171	12	,	,	PUNCT
ap-3143	171	13	usa	usa	PROPN
ap-3143	171	14	,	,	PUNCT
ap-3143	171	15	1979	1979	NUM
ap-3143	171	16	.	.	PUNCT
ap-3143	172	1	[	[	X
ap-3143	172	2	9	9	NUM
ap-3143	172	3	]	]	PUNCT
ap-3143	172	4	whitted	whitte	VERB
ap-3143	172	5	,	,	PUNCT
ap-3143	172	6	t.	t.	PROPN
ap-3143	172	7	an	an	DET
ap-3143	172	8	improved	improved	ADJ
ap-3143	172	9	illumination	illumination	NOUN
ap-3143	172	10	model	model	NOUN
ap-3143	172	11	for	for	ADP
ap-3143	172	12	shaded	shaded	ADJ
ap-3143	172	13	display	display	NOUN
ap-3143	172	14	.	.	PUNCT
ap-3143	173	1	communications	communication	NOUN
ap-3143	173	2	of	of	ADP
ap-3143	173	3	the	the	DET
ap-3143	173	4	acm	acm	NOUN
ap-3143	173	5	23(6	23(6	NUM
ap-3143	173	6	):	):	PUNCT
ap-3143	173	7	343	343	NUM
ap-3143	173	8	-	-	SYM
ap-3143	173	9	49	49	NUM
ap-3143	173	10	,	,	PUNCT
ap-3143	173	11	1980	1980	NUM
ap-3143	173	12	.	.	PUNCT
ap-3143	173	13	doi:10.1145/965103.807419	doi:10.1145/965103.807419	NOUN
ap-3143	174	1	[	[	X
ap-3143	174	2	10	10	NUM
ap-3143	174	3	]	]	PUNCT
ap-3143	174	4	rvachev	rvachev	NOUN
ap-3143	174	5	,	,	PUNCT
ap-3143	174	6	v.l	v.l	PROPN
ap-3143	174	7	.	.	PROPN
ap-3143	174	8	,	,	PUNCT
ap-3143	174	9	sheiko	sheiko	NOUN
ap-3143	174	10	,	,	PUNCT
ap-3143	174	11	t.i	t.i	PROPN
ap-3143	174	12	.	.	PROPN
ap-3143	174	13	,	,	PUNCT
ap-3143	174	14	shapiro	shapiro	PROPN
ap-3143	174	15	,	,	PUNCT
ap-3143	174	16	v.	v.	ADP
ap-3143	174	17	the	the	DET
ap-3143	174	18	r	r	NOUN
ap-3143	174	19	-	-	PUNCT
ap-3143	174	20	function	function	NOUN
ap-3143	174	21	method	method	NOUN
ap-3143	174	22	in	in	ADP
ap-3143	174	23	boundary	boundary	ADJ
ap-3143	174	24	-	-	PUNCT
ap-3143	174	25	value	value	NOUN
ap-3143	174	26	problems	problem	NOUN
ap-3143	174	27	with	with	ADP
ap-3143	174	28	geometric	geometric	ADJ
ap-3143	174	29	and	and	CCONJ
ap-3143	174	30	physical	physical	ADJ
ap-3143	174	31	symmetry	symmetry	NOUN
ap-3143	174	32	.	.	PUNCT
ap-3143	175	1	journal	journal	PROPN
ap-3143	175	2	of	of	ADP
ap-3143	175	3	mathematical	mathematical	ADJ
ap-3143	175	4	sciences	science	NOUN
ap-3143	175	5	97(1):3888	97(1):3888	PROPN
ap-3143	175	6	-	-	SYM
ap-3143	175	7	99	99	NUM
ap-3143	175	8	,	,	PUNCT
ap-3143	175	9	1999	1999	NUM
ap-3143	175	10	.	.	PUNCT
ap-3143	176	1	doi:10.1007	doi:10.1007	PROPN
ap-3143	176	2	/	/	SYM
ap-3143	176	3	bf02364929	bf02364929	NOUN
ap-3143	176	4	[	[	X
ap-3143	176	5	11	11	NUM
ap-3143	176	6	]	]	X
ap-3143	176	7	voronyanskaya	voronyanskaya	NOUN
ap-3143	176	8	,	,	PUNCT
ap-3143	176	9	m.e	m.e	PROPN
ap-3143	176	10	.	.	PROPN
ap-3143	176	11	maksimenko	maksimenko	PROPN
ap-3143	176	12	-	-	PUNCT
ap-3143	176	13	sheiko	sheiko	NOUN
ap-3143	176	14	,	,	PUNCT
ap-3143	176	15	k.v	k.v	PROPN
ap-3143	176	16	.	.	PROPN
ap-3143	176	17	,	,	PUNCT
ap-3143	176	18	sheiko	sheiko	NOUN
ap-3143	176	19	,	,	PUNCT
ap-3143	176	20	t.i	t.i	PROPN
ap-3143	176	21	.	.	PROPN
ap-3143	176	22	mathematical	mathematical	ADJ
ap-3143	176	23	modeling	modeling	NOUN
ap-3143	176	24	of	of	ADP
ap-3143	176	25	heat	heat	NOUN
ap-3143	176	26	conduction	conduction	NOUN
ap-3143	176	27	processes	process	NOUN
ap-3143	176	28	for	for	ADP
ap-3143	176	29	structural	structural	ADJ
ap-3143	176	30	elements	element	NOUN
ap-3143	176	31	of	of	ADP
ap-3143	176	32	nuclear	nuclear	ADJ
ap-3143	176	33	power	power	NOUN
ap-3143	176	34	plants	plant	NOUN
ap-3143	176	35	by	by	ADP
ap-3143	176	36	the	the	DET
ap-3143	176	37	method	method	NOUN
ap-3143	176	38	of	of	ADP
ap-3143	176	39	r	r	NOUN
ap-3143	176	40	-	-	PUNCT
ap-3143	176	41	functions	function	NOUN
ap-3143	176	42	.	.	PUNCT
ap-3143	177	1	journal	journal	PROPN
ap-3143	177	2	of	of	ADP
ap-3143	177	3	mathematical	mathematical	ADJ
ap-3143	177	4	sciences	science	NOUN
ap-3143	177	5	170(6):776	170(6):776	NOUN
ap-3143	177	6	-	-	SYM
ap-3143	177	7	93	93	NUM
ap-3143	177	8	,	,	PUNCT
ap-3143	177	9	2010	2010	NUM
ap-3143	177	10	.	.	PUNCT
ap-3143	178	1	doi:10.1007	doi:10.1007	VERB
ap-3143	178	2	/	/	SYM
ap-3143	178	3	s10958	s10958	PROPN
ap-3143	178	4	-	-	PUNCT
ap-3143	178	5	010	010	NUM
ap-3143	178	6	-	-	PUNCT
ap-3143	178	7	0120	0120	NUM
ap-3143	178	8	-	-	PUNCT
ap-3143	178	9	x	x	SYM
ap-3143	179	1	[	[	X
ap-3143	179	2	12	12	NUM
ap-3143	179	3	]	]	PUNCT
ap-3143	179	4	rvachev	rvachev	NOUN
ap-3143	179	5	,	,	PUNCT
ap-3143	179	6	v.l	v.l	PROPN
ap-3143	179	7	.	.	PROPN
ap-3143	179	8	on	on	ADP
ap-3143	179	9	the	the	DET
ap-3143	179	10	analytical	analytical	ADJ
ap-3143	179	11	description	description	NOUN
ap-3143	179	12	of	of	ADP
ap-3143	179	13	some	some	DET
ap-3143	179	14	geometric	geometric	ADJ
ap-3143	179	15	objects	object	NOUN
ap-3143	179	16	.	.	PUNCT
ap-3143	180	1	reports	report	NOUN
ap-3143	180	2	of	of	ADP
ap-3143	180	3	ukrainian	ukrainian	ADJ
ap-3143	180	4	academy	academy	PROPN
ap-3143	180	5	of	of	ADP
ap-3143	180	6	sciences	sciences	PROPN
ap-3143	180	7	153(4):765	153(4):765	NUM
ap-3143	180	8	-	-	SYM
ap-3143	180	9	67	67	NUM
ap-3143	180	10	,	,	PUNCT
ap-3143	180	11	1963	1963	NUM
ap-3143	180	12	.	.	PUNCT
ap-3143	181	1	(	(	PUNCT
ap-3143	181	2	in	in	ADP
ap-3143	181	3	russian	russian	NOUN
ap-3143	181	4	)	)	PUNCT
ap-3143	182	1	[	[	X
ap-3143	182	2	13	13	NUM
ap-3143	182	3	]	]	X
ap-3143	182	4	kersten	kersten	NOUN
ap-3143	182	5	,	,	PUNCT
ap-3143	182	6	h.	h.	PROPN
ap-3143	182	7	,	,	PUNCT
ap-3143	182	8	deutch	deutch	PROPN
ap-3143	182	9	,	,	PUNCT
ap-3143	182	10	h.	h.	PROPN
ap-3143	182	11	,	,	PUNCT
ap-3143	182	12	steffen	steffen	PROPN
ap-3143	182	13	,	,	PUNCT
ap-3143	182	14	h.	h.	PROPN
ap-3143	182	15	,	,	PUNCT
ap-3143	182	16	kroesen	kroesen	PROPN
ap-3143	182	17	,	,	PUNCT
ap-3143	182	18	g.m.w	g.m.w	NOUN
ap-3143	182	19	.	.	PROPN
ap-3143	182	20	,	,	PUNCT
ap-3143	182	21	hippler	hippler	PROPN
ap-3143	182	22	,	,	PUNCT
ap-3143	182	23	r.	r.	PROPN
ap-3143	182	24	the	the	DET
ap-3143	182	25	energy	energy	NOUN
ap-3143	182	26	balance	balance	NOUN
ap-3143	182	27	at	at	ADP
ap-3143	182	28	substrate	substrate	NOUN
ap-3143	182	29	surfaces	surface	NOUN
ap-3143	182	30	during	during	ADP
ap-3143	182	31	plasma	plasma	NOUN
ap-3143	182	32	processing	processing	NOUN
ap-3143	182	33	.	.	PUNCT
ap-3143	183	1	vacuum	vacuum	PROPN
ap-3143	183	2	63:385	63:385	PROPN
ap-3143	183	3	-	-	PUNCT
ap-3143	183	4	431	431	NUM
ap-3143	183	5	,	,	PUNCT
ap-3143	183	6	2001	2001	NUM
ap-3143	183	7	.	.	PUNCT
ap-3143	184	1	doi:10.1016	doi:10.1016	PROPN
ap-3143	184	2	/	/	SYM
ap-3143	184	3	s0042	s0042	PROPN
ap-3143	184	4	-	-	PUNCT
ap-3143	184	5	207x(01)00350	207x(01)00350	NUM
ap-3143	184	6	-	-	SYM
ap-3143	184	7	5	5	NUM
ap-3143	184	8	477	477	NUM
ap-3143	184	9	http://dx.doi.org/10.1016/s0020-7403(99)00104-6	http://dx.doi.org/10.1016/s0020-7403(99)00104-6	NOUN
ap-3143	184	10	http://dx.doi.org/10.1063/1.324261	http://dx.doi.org/10.1063/1.324261	PROPN
ap-3143	184	11	http://dx.doi.org/10.1115/1.1795234	http://dx.doi.org/10.1115/1.1795234	PROPN
ap-3143	184	12	http://dx.doi.org/10.1115/1.4003155	http://dx.doi.org/10.1115/1.4003155	PROPN
ap-3143	184	13	http://hdl.handle.net/10945/25571	http://hdl.handle.net/10945/25571	PROPN
ap-3143	184	14	http://dx.doi.org/10.1145/965103.807419	http://dx.doi.org/10.1145/965103.807419	PROPN
ap-3143	184	15	http://dx.doi.org/10.1007/bf02364929	http://dx.doi.org/10.1007/bf02364929	VERB
ap-3143	184	16	http://dx.doi.org/10.1007/s10958-010-0120-x	http://dx.doi.org/10.1007/s10958-010-0120-x	ADV
ap-3143	184	17	http://dx.doi.org/10.1016/s0042-207x(01)00350-5	http://dx.doi.org/10.1016/s0042-207x(01)00350-5	PROPN
ap-3143	184	18	acta	acta	PROPN
ap-3143	184	19	polytechnica	polytechnica	PROPN
ap-3143	184	20	56(6):472–477	56(6):472–477	PROPN
ap-3143	184	21	,	,	PUNCT
ap-3143	184	22	2016	2016	NUM
ap-3143	184	23	1	1	NUM
ap-3143	184	24	introduction	introduction	NOUN
ap-3143	184	25	2	2	NUM
ap-3143	184	26	mathematical	mathematical	ADJ
ap-3143	184	27	formulation	formulation	NOUN
ap-3143	184	28	3	3	NUM
ap-3143	184	29	numerical	numerical	PROPN
ap-3143	184	30	simulation	simulation	NOUN
ap-3143	184	31	result	result	NOUN
ap-3143	184	32	and	and	CCONJ
ap-3143	184	33	discussion	discussion	NOUN
ap-3143	184	34	4	4	NUM
ap-3143	184	35	conclusions	conclusion	NOUN
ap-3143	184	36	references	reference	NOUN