id	sid	tid	token	lemma	pos
ap-4934	1	1	acta	acta	PROPN
ap-4934	1	2	polytechnica	polytechnica	PROPN
ap-4934	1	3	doi:10.14311	doi:10.14311	PROPN
ap-4934	1	4	/	/	SYM
ap-4934	1	5	ap.2018.58.0370	ap.2018.58.0370	PROPN
ap-4934	1	6	acta	acta	PROPN
ap-4934	1	7	polytechnica	polytechnica	PROPN
ap-4934	1	8	58(6):370–377	58(6):370–377	PROPN
ap-4934	1	9	,	,	PUNCT
ap-4934	1	10	2018	2018	NUM
ap-4934	1	11	©	©	PROPN
ap-4934	1	12	czech	czech	PROPN
ap-4934	1	13	technical	technical	PROPN
ap-4934	1	14	university	university	PROPN
ap-4934	1	15	in	in	ADP
ap-4934	1	16	prague	prague	PROPN
ap-4934	1	17	,	,	PUNCT
ap-4934	1	18	2018	2018	NUM
ap-4934	1	19	available	available	ADJ
ap-4934	1	20	online	online	ADV
ap-4934	1	21	at	at	ADP
ap-4934	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-4934	1	23	a	a	DET
ap-4934	1	24	method	method	NOUN
ap-4934	1	25	of	of	ADP
ap-4934	1	26	complex	complex	ADJ
ap-4934	1	27	calculation	calculation	NOUN
ap-4934	1	28	of	of	ADP
ap-4934	1	29	rational	rational	ADJ
ap-4934	1	30	structural	structural	ADJ
ap-4934	1	31	parameters	parameter	NOUN
ap-4934	1	32	of	of	ADP
ap-4934	1	33	railway	railway	NOUN
ap-4934	1	34	humps	hump	NOUN
ap-4934	1	35	sergii	sergii	PROPN
ap-4934	1	36	panchenkoa	panchenkoa	PROPN
ap-4934	1	37	,	,	PUNCT
ap-4934	1	38	oleksandr	oleksandr	PROPN
ap-4934	1	39	oharb	oharb	ADJ
ap-4934	1	40	,	,	PUNCT
ap-4934	1	41	maksym	maksym	PROPN
ap-4934	1	42	kutsenkoc	kutsenkoc	PROPN
ap-4934	1	43	,	,	PUNCT
ap-4934	1	44	julia	julia	PROPN
ap-4934	1	45	smachiloc,∗	smachiloc,∗	PROPN
ap-4934	1	46	a	a	DET
ap-4934	1	47	rector	rector	NOUN
ap-4934	1	48	,	,	PUNCT
ap-4934	1	49	ukrainian	ukrainian	ADJ
ap-4934	1	50	state	state	PROPN
ap-4934	1	51	university	university	PROPN
ap-4934	1	52	of	of	ADP
ap-4934	1	53	railway	railway	NOUN
ap-4934	1	54	transport	transport	NOUN
ap-4934	1	55	,	,	PUNCT
ap-4934	1	56	feyerbach	feyerbach	NOUN
ap-4934	1	57	square	square	ADJ
ap-4934	1	58	7	7	NUM
ap-4934	1	59	,	,	PUNCT
ap-4934	1	60	kharkiv	kharkiv	PROPN
ap-4934	1	61	,	,	PUNCT
ap-4934	1	62	ukraine	ukraine	PROPN
ap-4934	1	63	b	b	PROPN
ap-4934	1	64	head	head	NOUN
ap-4934	1	65	of	of	ADP
ap-4934	1	66	department	department	NOUN
ap-4934	1	67	of	of	ADP
ap-4934	1	68	railway	railway	NOUN
ap-4934	1	69	station	station	NOUN
ap-4934	1	70	and	and	CCONJ
ap-4934	1	71	junctions	junction	NOUN
ap-4934	1	72	,	,	PUNCT
ap-4934	1	73	ukrainian	ukrainian	ADJ
ap-4934	1	74	state	state	PROPN
ap-4934	1	75	university	university	PROPN
ap-4934	1	76	of	of	ADP
ap-4934	1	77	railway	railway	NOUN
ap-4934	1	78	transport	transport	NOUN
ap-4934	1	79	,	,	PUNCT
ap-4934	1	80	feyerbach	feyerbach	NOUN
ap-4934	1	81	square	square	ADJ
ap-4934	1	82	7	7	NUM
ap-4934	1	83	,	,	PUNCT
ap-4934	1	84	kharkiv	kharkiv	PROPN
ap-4934	1	85	,	,	PUNCT
ap-4934	1	86	ukraine	ukraine	PROPN
ap-4934	1	87	c	c	PROPN
ap-4934	1	88	department	department	PROPN
ap-4934	1	89	of	of	ADP
ap-4934	1	90	railway	railway	NOUN
ap-4934	1	91	station	station	NOUN
ap-4934	1	92	and	and	CCONJ
ap-4934	1	93	junctions	junction	NOUN
ap-4934	1	94	,	,	PUNCT
ap-4934	1	95	ukrainian	ukrainian	ADJ
ap-4934	1	96	state	state	PROPN
ap-4934	1	97	university	university	PROPN
ap-4934	1	98	of	of	ADP
ap-4934	1	99	railway	railway	NOUN
ap-4934	1	100	transport	transport	NOUN
ap-4934	1	101	,	,	PUNCT
ap-4934	1	102	feyerbach	feyerbach	NOUN
ap-4934	1	103	square	square	ADJ
ap-4934	1	104	7	7	NUM
ap-4934	1	105	,	,	PUNCT
ap-4934	1	106	kharkiv	kharkiv	PROPN
ap-4934	1	107	,	,	PUNCT
ap-4934	1	108	ukraine	ukraine	NOUN
ap-4934	1	109	∗	∗	NOUN
ap-4934	1	110	corresponding	correspond	VERB
ap-4934	1	111	author	author	NOUN
ap-4934	1	112	:	:	PUNCT
ap-4934	1	113	smachilo.julia@gmail.com	smachilo.julia@gmail.com	X
ap-4934	1	114	abstract	abstract	ADJ
ap-4934	1	115	.	.	PUNCT
ap-4934	2	1	the	the	DET
ap-4934	2	2	article	article	NOUN
ap-4934	2	3	deals	deal	VERB
ap-4934	2	4	with	with	ADP
ap-4934	2	5	a	a	DET
ap-4934	2	6	method	method	NOUN
ap-4934	2	7	of	of	ADP
ap-4934	2	8	complex	complex	ADJ
ap-4934	2	9	calculation	calculation	NOUN
ap-4934	2	10	of	of	ADP
ap-4934	2	11	rational	rational	ADJ
ap-4934	2	12	structural	structural	ADJ
ap-4934	2	13	parameters	parameter	NOUN
ap-4934	2	14	of	of	ADP
ap-4934	2	15	humps	hump	NOUN
ap-4934	2	16	at	at	ADP
ap-4934	2	17	classification	classification	NOUN
ap-4934	2	18	yards	yard	NOUN
ap-4934	2	19	.	.	PUNCT
ap-4934	3	1	unlike	unlike	ADP
ap-4934	3	2	existing	exist	VERB
ap-4934	3	3	methods	method	NOUN
ap-4934	3	4	,	,	PUNCT
ap-4934	3	5	this	this	DET
ap-4934	3	6	method	method	NOUN
ap-4934	3	7	allows	allow	VERB
ap-4934	3	8	an	an	DET
ap-4934	3	9	implementation	implementation	NOUN
ap-4934	3	10	of	of	ADP
ap-4934	3	11	the	the	DET
ap-4934	3	12	technology	technology	NOUN
ap-4934	3	13	of	of	ADP
ap-4934	3	14	guided	guide	VERB
ap-4934	3	15	gravity	gravity	NOUN
ap-4934	3	16	regulation	regulation	NOUN
ap-4934	3	17	of	of	ADP
ap-4934	3	18	the	the	DET
ap-4934	3	19	cut	cut	NOUN
ap-4934	3	20	speed	speed	NOUN
ap-4934	3	21	by	by	ADP
ap-4934	3	22	applying	apply	VERB
ap-4934	3	23	a	a	DET
ap-4934	3	24	special	special	ADJ
ap-4934	3	25	layout	layout	NOUN
ap-4934	3	26	and	and	CCONJ
ap-4934	3	27	profile	profile	NOUN
ap-4934	3	28	arrangement	arrangement	NOUN
ap-4934	3	29	.	.	PUNCT
ap-4934	4	1	the	the	DET
ap-4934	4	2	authors	author	NOUN
ap-4934	4	3	believe	believe	VERB
ap-4934	4	4	that	that	SCONJ
ap-4934	4	5	it	it	PRON
ap-4934	4	6	will	will	AUX
ap-4934	4	7	decrease	decrease	VERB
ap-4934	4	8	the	the	DET
ap-4934	4	9	maintenance	maintenance	NOUN
ap-4934	4	10	costs	cost	NOUN
ap-4934	4	11	to	to	PART
ap-4934	4	12	refund	refund	VERB
ap-4934	4	13	damaged	damage	VERB
ap-4934	4	14	car	car	NOUN
ap-4934	4	15	and	and	CCONJ
ap-4934	4	16	cargo	cargo	NOUN
ap-4934	4	17	,	,	PUNCT
ap-4934	4	18	costs	cost	NOUN
ap-4934	4	19	on	on	ADP
ap-4934	4	20	electricity	electricity	NOUN
ap-4934	4	21	needed	need	VERB
ap-4934	4	22	for	for	ADP
ap-4934	4	23	the	the	DET
ap-4934	4	24	cut	cut	NOUN
ap-4934	4	25	speed	speed	NOUN
ap-4934	4	26	regulation	regulation	NOUN
ap-4934	4	27	and	and	CCONJ
ap-4934	4	28	some	some	DET
ap-4934	4	29	extra	extra	ADJ
ap-4934	4	30	charges	charge	NOUN
ap-4934	4	31	due	due	ADP
ap-4934	4	32	to	to	ADP
ap-4934	4	33	demurrages	demurrage	NOUN
ap-4934	4	34	caused	cause	VERB
ap-4934	4	35	by	by	ADP
ap-4934	4	36	waiting	wait	VERB
ap-4934	4	37	for	for	ADP
ap-4934	4	38	breaking	breaking	NOUN
ap-4934	4	39	-	-	PUNCT
ap-4934	4	40	up	up	NOUN
ap-4934	4	41	at	at	ADP
ap-4934	4	42	arrival	arrival	NOUN
ap-4934	4	43	yards	yard	NOUN
ap-4934	4	44	.	.	PUNCT
ap-4934	5	1	keywords	keyword	NOUN
ap-4934	5	2	:	:	PUNCT
ap-4934	5	3	railway	railway	NOUN
ap-4934	5	4	transport	transport	NOUN
ap-4934	5	5	,	,	PUNCT
ap-4934	5	6	railway	railway	NOUN
ap-4934	5	7	humps	hump	NOUN
ap-4934	5	8	,	,	PUNCT
ap-4934	5	9	optimization	optimization	NOUN
ap-4934	5	10	.	.	PUNCT
ap-4934	6	1	1	1	X
ap-4934	6	2	.	.	X
ap-4934	6	3	introduction	introduction	NOUN
ap-4934	6	4	due	due	ADP
ap-4934	6	5	to	to	ADP
ap-4934	6	6	certain	certain	ADJ
ap-4934	6	7	trends	trend	NOUN
ap-4934	6	8	in	in	ADP
ap-4934	6	9	the	the	DET
ap-4934	6	10	world	world	NOUN
ap-4934	6	11	energy	energy	NOUN
ap-4934	6	12	resources	resource	NOUN
ap-4934	6	13	market	market	NOUN
ap-4934	6	14	and	and	CCONJ
ap-4934	6	15	severe	severe	ADJ
ap-4934	6	16	competition	competition	NOUN
ap-4934	6	17	in	in	ADP
ap-4934	6	18	transportation	transportation	NOUN
ap-4934	6	19	,	,	PUNCT
ap-4934	6	20	the	the	DET
ap-4934	6	21	research	research	NOUN
ap-4934	6	22	of	of	ADP
ap-4934	6	23	optimization	optimization	NOUN
ap-4934	6	24	of	of	ADP
ap-4934	6	25	rail	rail	NOUN
ap-4934	6	26	transportation	transportation	NOUN
ap-4934	6	27	charges	charge	NOUN
ap-4934	6	28	is	be	AUX
ap-4934	6	29	urgent	urgent	ADJ
ap-4934	6	30	.	.	PUNCT
ap-4934	7	1	besides	besides	ADV
ap-4934	7	2	,	,	PUNCT
ap-4934	7	3	the	the	DET
ap-4934	7	4	problem	problem	NOUN
ap-4934	7	5	is	be	AUX
ap-4934	7	6	also	also	ADV
ap-4934	7	7	of	of	ADP
ap-4934	7	8	importance	importance	NOUN
ap-4934	7	9	for	for	ADP
ap-4934	7	10	sorting	sort	VERB
ap-4934	7	11	operations	operation	NOUN
ap-4934	7	12	at	at	ADP
ap-4934	7	13	railway	railway	NOUN
ap-4934	7	14	stations	station	NOUN
ap-4934	7	15	,	,	PUNCT
ap-4934	7	16	as	as	SCONJ
ap-4934	7	17	their	their	PRON
ap-4934	7	18	parameters	parameter	NOUN
ap-4934	7	19	are	be	AUX
ap-4934	7	20	greatly	greatly	ADV
ap-4934	7	21	conditioned	condition	VERB
ap-4934	7	22	by	by	ADP
ap-4934	7	23	structural	structural	ADJ
ap-4934	7	24	parameters	parameter	NOUN
ap-4934	7	25	of	of	ADP
ap-4934	7	26	the	the	DET
ap-4934	7	27	humps	hump	NOUN
ap-4934	7	28	.	.	PUNCT
ap-4934	8	1	in	in	ADP
ap-4934	8	2	article	article	NOUN
ap-4934	8	3	[	[	X
ap-4934	8	4	1	1	NUM
ap-4934	8	5	]	]	PUNCT
ap-4934	8	6	,	,	PUNCT
ap-4934	8	7	the	the	DET
ap-4934	8	8	authors	author	NOUN
ap-4934	8	9	pay	pay	VERB
ap-4934	8	10	an	an	DET
ap-4934	8	11	attention	attention	NOUN
ap-4934	8	12	to	to	ADP
ap-4934	8	13	the	the	DET
ap-4934	8	14	fact	fact	NOUN
ap-4934	8	15	that	that	SCONJ
ap-4934	8	16	one	one	NUM
ap-4934	8	17	of	of	ADP
ap-4934	8	18	the	the	DET
ap-4934	8	19	components	component	NOUN
ap-4934	8	20	considerably	considerably	ADV
ap-4934	8	21	influencing	influence	VERB
ap-4934	8	22	the	the	DET
ap-4934	8	23	total	total	ADJ
ap-4934	8	24	costs	cost	NOUN
ap-4934	8	25	of	of	ADP
ap-4934	8	26	transportation	transportation	NOUN
ap-4934	8	27	are	be	AUX
ap-4934	8	28	the	the	DET
ap-4934	8	29	car	car	NOUN
ap-4934	8	30	processing	processing	NOUN
ap-4934	8	31	costs	cost	NOUN
ap-4934	8	32	on	on	ADP
ap-4934	8	33	humps	hump	NOUN
ap-4934	8	34	.	.	PUNCT
ap-4934	9	1	cars	car	NOUN
ap-4934	9	2	can	can	AUX
ap-4934	9	3	be	be	AUX
ap-4934	9	4	processed	process	VERB
ap-4934	9	5	several	several	ADJ
ap-4934	9	6	times	time	NOUN
ap-4934	9	7	on	on	ADP
ap-4934	9	8	their	their	PRON
ap-4934	9	9	way	way	NOUN
ap-4934	9	10	from	from	ADP
ap-4934	9	11	departure	departure	NOUN
ap-4934	9	12	stations	station	NOUN
ap-4934	9	13	to	to	ADP
ap-4934	9	14	destination	destination	NOUN
ap-4934	9	15	stations	station	NOUN
ap-4934	9	16	.	.	PUNCT
ap-4934	10	1	according	accord	VERB
ap-4934	10	2	to	to	ADP
ap-4934	10	3	[	[	X
ap-4934	10	4	1	1	NUM
ap-4934	10	5	]	]	PUNCT
ap-4934	10	6	,	,	PUNCT
ap-4934	10	7	a	a	DET
ap-4934	10	8	lot	lot	NOUN
ap-4934	10	9	of	of	ADP
ap-4934	10	10	factors	factor	NOUN
ap-4934	10	11	influence	influence	VERB
ap-4934	10	12	the	the	DET
ap-4934	10	13	processing	processing	NOUN
ap-4934	10	14	costs	cost	NOUN
ap-4934	10	15	,	,	PUNCT
ap-4934	10	16	among	among	ADP
ap-4934	10	17	which	which	PRON
ap-4934	10	18	are	be	AUX
ap-4934	10	19	the	the	DET
ap-4934	10	20	costs	cost	NOUN
ap-4934	10	21	of	of	ADP
ap-4934	10	22	depreciation	depreciation	NOUN
ap-4934	10	23	,	,	PUNCT
ap-4934	10	24	spare	spare	ADJ
ap-4934	10	25	parts	part	NOUN
ap-4934	10	26	and	and	CCONJ
ap-4934	10	27	maintenance	maintenance	NOUN
ap-4934	10	28	of	of	ADP
ap-4934	10	29	cut	cut	ADJ
ap-4934	10	30	speed	speed	NOUN
ap-4934	10	31	regulators	regulator	NOUN
ap-4934	10	32	(	(	PUNCT
ap-4934	10	33	the	the	DET
ap-4934	10	34	maintenance	maintenance	NOUN
ap-4934	10	35	costs	cost	NOUN
ap-4934	10	36	are	be	AUX
ap-4934	10	37	proportional	proportional	ADJ
ap-4934	10	38	to	to	ADP
ap-4934	10	39	the	the	DET
ap-4934	10	40	costs	cost	NOUN
ap-4934	10	41	of	of	ADP
ap-4934	10	42	the	the	DET
ap-4934	10	43	regulators	regulator	NOUN
ap-4934	10	44	)	)	PUNCT
ap-4934	10	45	.	.	PUNCT
ap-4934	11	1	over	over	ADP
ap-4934	11	2	a	a	DET
ap-4934	11	3	long	long	ADJ
ap-4934	11	4	period	period	NOUN
ap-4934	11	5	of	of	ADP
ap-4934	11	6	time	time	NOUN
ap-4934	11	7	a	a	DET
ap-4934	11	8	lot	lot	NOUN
ap-4934	11	9	of	of	ADP
ap-4934	11	10	scientists	scientist	NOUN
ap-4934	11	11	have	have	AUX
ap-4934	11	12	paid	pay	VERB
ap-4934	11	13	their	their	PRON
ap-4934	11	14	attention	attention	NOUN
ap-4934	11	15	to	to	ADP
ap-4934	11	16	an	an	DET
ap-4934	11	17	improved	improved	ADJ
ap-4934	11	18	layout	layout	NOUN
ap-4934	11	19	and	and	CCONJ
ap-4934	11	20	profile	profile	VERB
ap-4934	11	21	structure	structure	NOUN
ap-4934	11	22	of	of	ADP
ap-4934	11	23	a	a	DET
ap-4934	11	24	hump	hump	NOUN
ap-4934	11	25	,	,	PUNCT
ap-4934	11	26	cut	cut	VERB
ap-4934	11	27	rolling	rolling	ADJ
ap-4934	11	28	speed	speed	NOUN
ap-4934	11	29	regulators	regulator	NOUN
ap-4934	11	30	,	,	PUNCT
ap-4934	11	31	systems	system	NOUN
ap-4934	11	32	of	of	ADP
ap-4934	11	33	automated	automate	VERB
ap-4934	11	34	hump	hump	NOUN
ap-4934	11	35	technological	technological	ADJ
ap-4934	11	36	processes	process	NOUN
ap-4934	11	37	and	and	CCONJ
ap-4934	11	38	cut	cut	VERB
ap-4934	11	39	braking	braking	NOUN
ap-4934	11	40	modes	mode	NOUN
ap-4934	11	41	to	to	PART
ap-4934	11	42	increase	increase	VERB
ap-4934	11	43	the	the	DET
ap-4934	11	44	breaking	breaking	NOUN
ap-4934	11	45	-	-	PUNCT
ap-4934	11	46	up	up	ADP
ap-4934	11	47	efficiency	efficiency	NOUN
ap-4934	11	48	[	[	X
ap-4934	11	49	2–7	2–7	X
ap-4934	11	50	]	]	X
ap-4934	11	51	.	.	PUNCT
ap-4934	12	1	thus	thus	ADV
ap-4934	12	2	,	,	PUNCT
ap-4934	12	3	in	in	ADP
ap-4934	12	4	research	research	NOUN
ap-4934	12	5	[	[	X
ap-4934	12	6	2	2	NUM
ap-4934	12	7	,	,	PUNCT
ap-4934	12	8	3	3	NUM
ap-4934	12	9	]	]	PUNCT
ap-4934	12	10	,	,	PUNCT
ap-4934	12	11	the	the	DET
ap-4934	12	12	aim	aim	NOUN
ap-4934	12	13	is	be	AUX
ap-4934	12	14	achieved	achieve	VERB
ap-4934	12	15	by	by	ADP
ap-4934	12	16	the	the	DET
ap-4934	12	17	optimized	optimize	VERB
ap-4934	12	18	structures	structure	NOUN
ap-4934	12	19	of	of	ADP
ap-4934	12	20	hump	hump	NOUN
ap-4934	12	21	necks	neck	NOUN
ap-4934	12	22	,	,	PUNCT
ap-4934	12	23	in	in	ADP
ap-4934	12	24	[	[	X
ap-4934	12	25	4	4	X
ap-4934	12	26	]	]	PUNCT
ap-4934	12	27	—	—	PUNCT
ap-4934	12	28	by	by	ADP
ap-4934	12	29	defining	define	VERB
ap-4934	12	30	the	the	DET
ap-4934	12	31	optimal	optimal	ADJ
ap-4934	12	32	parameters	parameter	NOUN
ap-4934	12	33	of	of	ADP
ap-4934	12	34	the	the	DET
ap-4934	12	35	longitudinal	longitudinal	ADJ
ap-4934	12	36	hump	hump	NOUN
ap-4934	12	37	profile	profile	NOUN
ap-4934	12	38	,	,	PUNCT
ap-4934	12	39	in	in	ADP
ap-4934	12	40	[	[	X
ap-4934	12	41	5	5	NUM
ap-4934	12	42	]	]	PUNCT
ap-4934	12	43	—	—	PUNCT
ap-4934	12	44	by	by	ADP
ap-4934	12	45	developing	develop	VERB
ap-4934	12	46	new	new	ADJ
ap-4934	12	47	and	and	CCONJ
ap-4934	12	48	improved	improve	VERB
ap-4934	12	49	existing	exist	VERB
ap-4934	12	50	structures	structure	NOUN
ap-4934	12	51	for	for	ADP
ap-4934	12	52	cut	cut	VERB
ap-4934	12	53	rolling	rolling	ADJ
ap-4934	12	54	speed	speed	NOUN
ap-4934	12	55	regulators	regulator	NOUN
ap-4934	12	56	,	,	PUNCT
ap-4934	12	57	in	in	ADP
ap-4934	12	58	[	[	X
ap-4934	12	59	6	6	NUM
ap-4934	12	60	]	]	PUNCT
ap-4934	12	61	—	—	PUNCT
ap-4934	12	62	by	by	ADP
ap-4934	12	63	forming	form	VERB
ap-4934	12	64	approaches	approach	NOUN
ap-4934	12	65	to	to	ADP
ap-4934	12	66	the	the	DET
ap-4934	12	67	automated	automate	VERB
ap-4934	12	68	braking	brake	VERB
ap-4934	12	69	regulation	regulation	NOUN
ap-4934	12	70	,	,	PUNCT
ap-4934	12	71	and	and	CCONJ
ap-4934	12	72	in	in	ADP
ap-4934	12	73	[	[	X
ap-4934	12	74	7	7	NUM
ap-4934	12	75	]	]	PUNCT
ap-4934	12	76	—	—	PUNCT
ap-4934	12	77	by	by	ADP
ap-4934	12	78	optimizing	optimize	VERB
ap-4934	12	79	cut	cut	VERB
ap-4934	12	80	braking	brake	VERB
ap-4934	12	81	modes	mode	NOUN
ap-4934	12	82	.	.	PUNCT
ap-4934	13	1	the	the	DET
ap-4934	13	2	analysis	analysis	NOUN
ap-4934	13	3	of	of	ADP
ap-4934	13	4	the	the	DET
ap-4934	13	5	above	above	ADV
ap-4934	13	6	-	-	PUNCT
ap-4934	13	7	mentioned	mention	VERB
ap-4934	13	8	sources	source	NOUN
ap-4934	13	9	testifies	testify	VERB
ap-4934	13	10	that	that	SCONJ
ap-4934	13	11	many	many	ADJ
ap-4934	13	12	scientists	scientist	NOUN
ap-4934	13	13	theoretically	theoretically	ADV
ap-4934	13	14	prove	prove	VERB
ap-4934	13	15	the	the	DET
ap-4934	13	16	possibility	possibility	NOUN
ap-4934	13	17	to	to	PART
ap-4934	13	18	increase	increase	VERB
ap-4934	13	19	the	the	DET
ap-4934	13	20	breaking	breaking	NOUN
ap-4934	13	21	-	-	PUNCT
ap-4934	13	22	up	up	ADP
ap-4934	13	23	efficiency	efficiency	NOUN
ap-4934	13	24	with	with	ADP
ap-4934	13	25	the	the	DET
ap-4934	13	26	methods	method	NOUN
ap-4934	13	27	proposed	propose	VERB
ap-4934	13	28	by	by	ADP
ap-4934	13	29	the	the	DET
ap-4934	13	30	authors	author	NOUN
ap-4934	13	31	for	for	ADP
ap-4934	13	32	humps	hump	NOUN
ap-4934	13	33	.	.	PUNCT
ap-4934	14	1	research	research	NOUN
ap-4934	15	1	[	[	X
ap-4934	15	2	8	8	NUM
ap-4934	15	3	]	]	PUNCT
ap-4934	15	4	implies	imply	VERB
ap-4934	15	5	that	that	SCONJ
ap-4934	15	6	there	there	PRON
ap-4934	15	7	are	be	VERB
ap-4934	15	8	some	some	DET
ap-4934	15	9	factors	factor	NOUN
ap-4934	15	10	of	of	ADP
ap-4934	15	11	the	the	DET
ap-4934	15	12	sorting	sort	VERB
ap-4934	15	13	process	process	NOUN
ap-4934	15	14	substantially	substantially	ADV
ap-4934	15	15	influencing	influence	VERB
ap-4934	15	16	the	the	DET
ap-4934	15	17	breaking	breaking	NOUN
ap-4934	15	18	-	-	PUNCT
ap-4934	15	19	up	up	ADP
ap-4934	15	20	efficiency	efficiency	NOUN
ap-4934	15	21	;	;	PUNCT
ap-4934	15	22	thought	think	VERB
ap-4934	15	23	they	they	PRON
ap-4934	15	24	are	be	AUX
ap-4934	15	25	rather	rather	ADV
ap-4934	15	26	difficult	difficult	ADJ
ap-4934	15	27	to	to	PART
ap-4934	15	28	consider	consider	VERB
ap-4934	15	29	,	,	PUNCT
ap-4934	15	30	forecast	forecast	NOUN
ap-4934	15	31	or	or	CCONJ
ap-4934	15	32	formalize	formalize	VERB
ap-4934	15	33	.	.	PUNCT
ap-4934	16	1	the	the	DET
ap-4934	16	2	operational	operational	ADJ
ap-4934	16	3	condition	condition	NOUN
ap-4934	16	4	of	of	ADP
ap-4934	16	5	cut	cut	ADJ
ap-4934	16	6	rolling	rolling	ADJ
ap-4934	16	7	speed	speed	NOUN
ap-4934	16	8	regulators	regulator	NOUN
ap-4934	16	9	and	and	CCONJ
ap-4934	16	10	automation	automation	NOUN
ap-4934	16	11	devices	device	NOUN
ap-4934	16	12	,	,	PUNCT
ap-4934	16	13	the	the	DET
ap-4934	16	14	degree	degree	NOUN
ap-4934	16	15	of	of	ADP
ap-4934	16	16	consideration	consideration	NOUN
ap-4934	16	17	and	and	CCONJ
ap-4934	16	18	presentation	presentation	NOUN
ap-4934	16	19	method	method	NOUN
ap-4934	16	20	of	of	ADP
ap-4934	16	21	a	a	DET
ap-4934	16	22	random	random	ADJ
ap-4934	16	23	nature	nature	NOUN
ap-4934	16	24	,	,	PUNCT
ap-4934	16	25	the	the	DET
ap-4934	16	26	state	state	NOUN
ap-4934	16	27	of	of	ADP
ap-4934	16	28	wheelsets	wheelset	NOUN
ap-4934	16	29	and	and	CCONJ
ap-4934	16	30	other	other	ADJ
ap-4934	16	31	factors	factor	NOUN
ap-4934	16	32	are	be	AUX
ap-4934	16	33	among	among	ADP
ap-4934	16	34	them	they	PRON
ap-4934	16	35	.	.	PUNCT
ap-4934	17	1	the	the	DET
ap-4934	17	2	research	research	NOUN
ap-4934	17	3	concluded	conclude	VERB
ap-4934	17	4	that	that	SCONJ
ap-4934	17	5	the	the	DET
ap-4934	17	6	reduction	reduction	NOUN
ap-4934	17	7	of	of	ADP
ap-4934	17	8	influence	influence	NOUN
ap-4934	17	9	of	of	ADP
ap-4934	17	10	a	a	DET
ap-4934	17	11	human	human	ADJ
ap-4934	17	12	factor	factor	NOUN
ap-4934	17	13	on	on	ADP
ap-4934	17	14	the	the	DET
ap-4934	17	15	breaking	breaking	NOUN
ap-4934	17	16	-	-	PUNCT
ap-4934	17	17	up	up	ADP
ap-4934	17	18	efficiency	efficiency	NOUN
ap-4934	17	19	is	be	AUX
ap-4934	17	20	still	still	ADV
ap-4934	17	21	a	a	DET
ap-4934	17	22	problem	problem	NOUN
ap-4934	17	23	.	.	PUNCT
ap-4934	18	1	thus	thus	ADV
ap-4934	18	2	,	,	PUNCT
ap-4934	18	3	consideration	consideration	NOUN
ap-4934	18	4	,	,	PUNCT
ap-4934	18	5	forecasting	forecasting	NOUN
ap-4934	18	6	,	,	PUNCT
ap-4934	18	7	or	or	CCONJ
ap-4934	18	8	formalization	formalization	NOUN
ap-4934	18	9	of	of	ADP
ap-4934	18	10	the	the	DET
ap-4934	18	11	above	above	ADV
ap-4934	18	12	-	-	PUNCT
ap-4934	18	13	mentioned	mention	VERB
ap-4934	18	14	factors	factor	NOUN
ap-4934	18	15	is	be	AUX
ap-4934	18	16	currently	currently	ADV
ap-4934	18	17	a	a	DET
ap-4934	18	18	very	very	ADV
ap-4934	18	19	difficult	difficult	ADJ
ap-4934	18	20	challenge	challenge	NOUN
ap-4934	18	21	,	,	PUNCT
ap-4934	18	22	and	and	CCONJ
ap-4934	18	23	the	the	DET
ap-4934	18	24	solution	solution	NOUN
ap-4934	18	25	is	be	AUX
ap-4934	18	26	not	not	PART
ap-4934	18	27	found	find	VERB
ap-4934	18	28	yet	yet	ADV
ap-4934	18	29	.	.	PUNCT
ap-4934	19	1	also	also	ADV
ap-4934	19	2	,	,	PUNCT
ap-4934	19	3	in	in	ADP
ap-4934	19	4	research	research	NOUN
ap-4934	19	5	[	[	X
ap-4934	19	6	8	8	NUM
ap-4934	19	7	]	]	PUNCT
ap-4934	19	8	,	,	PUNCT
ap-4934	19	9	the	the	DET
ap-4934	19	10	authors	author	NOUN
ap-4934	19	11	substantiate	substantiate	VERB
ap-4934	19	12	the	the	DET
ap-4934	19	13	importance	importance	NOUN
ap-4934	19	14	to	to	PART
ap-4934	19	15	implement	implement	VERB
ap-4934	19	16	the	the	DET
ap-4934	19	17	technology	technology	NOUN
ap-4934	19	18	of	of	ADP
ap-4934	19	19	guided	guide	VERB
ap-4934	19	20	gravity	gravity	NOUN
ap-4934	19	21	braking	braking	NOUN
ap-4934	19	22	for	for	ADP
ap-4934	19	23	cuts	cut	NOUN
ap-4934	19	24	.	.	PUNCT
ap-4934	20	1	the	the	DET
ap-4934	20	2	special	special	ADJ
ap-4934	20	3	layout	layout	NOUN
ap-4934	20	4	and	and	CCONJ
ap-4934	20	5	profile	profile	VERB
ap-4934	20	6	arrangement	arrangement	NOUN
ap-4934	20	7	for	for	ADP
ap-4934	20	8	classification	classification	NOUN
ap-4934	20	9	yards	yard	NOUN
ap-4934	20	10	proposed	propose	VERB
ap-4934	20	11	by	by	ADP
ap-4934	20	12	the	the	DET
ap-4934	20	13	authors	author	NOUN
ap-4934	20	14	(	(	PUNCT
ap-4934	20	15	figure	figure	NOUN
ap-4934	20	16	1	1	NUM
ap-4934	20	17	)	)	PUNCT
ap-4934	20	18	can	can	AUX
ap-4934	20	19	be	be	AUX
ap-4934	20	20	used	use	VERB
ap-4934	20	21	to	to	PART
ap-4934	20	22	implement	implement	VERB
ap-4934	20	23	the	the	DET
ap-4934	20	24	given	give	VERB
ap-4934	20	25	technology	technology	NOUN
ap-4934	20	26	.	.	PUNCT
ap-4934	21	1	a	a	DET
ap-4934	21	2	special	special	ADJ
ap-4934	21	3	feature	feature	NOUN
ap-4934	21	4	of	of	ADP
ap-4934	21	5	such	such	DET
ap-4934	21	6	an	an	DET
ap-4934	21	7	arrangement	arrangement	NOUN
ap-4934	21	8	is	be	AUX
ap-4934	21	9	the	the	DET
ap-4934	21	10	location	location	NOUN
ap-4934	21	11	of	of	ADP
ap-4934	21	12	the	the	DET
ap-4934	21	13	switching	switch	VERB
ap-4934	21	14	area	area	NOUN
ap-4934	21	15	(	(	PUNCT
ap-4934	21	16	sa	sa	PROPN
ap-4934	21	17	)	)	PUNCT
ap-4934	21	18	(	(	PUNCT
ap-4934	21	19	either	either	CCONJ
ap-4934	21	20	in	in	ADP
ap-4934	21	21	part	part	NOUN
ap-4934	21	22	or	or	CCONJ
ap-4934	21	23	in	in	ADP
ap-4934	21	24	whole	whole	NOUN
ap-4934	21	25	)	)	PUNCT
ap-4934	21	26	at	at	ADP
ap-4934	21	27	the	the	DET
ap-4934	21	28	origin	origin	NOUN
ap-4934	21	29	of	of	ADP
ap-4934	21	30	sorting	sort	VERB
ap-4934	21	31	tracks	track	NOUN
ap-4934	21	32	up	up	ADP
ap-4934	21	33	to	to	ADP
ap-4934	21	34	the	the	DET
ap-4934	21	35	yard	yard	NOUN
ap-4934	21	36	retarder	retarder	NOUN
ap-4934	21	37	position	position	NOUN
ap-4934	21	38	(	(	PUNCT
ap-4934	21	39	yrp	yrp	NOUN
ap-4934	21	40	)	)	PUNCT
ap-4934	21	41	on	on	ADP
ap-4934	21	42	the	the	DET
ap-4934	21	43	ascent	ascent	NOUN
ap-4934	21	44	.	.	PUNCT
ap-4934	22	1	the	the	DET
ap-4934	22	2	other	other	ADJ
ap-4934	22	3	elements	element	NOUN
ap-4934	22	4	on	on	ADP
ap-4934	22	5	the	the	DET
ap-4934	22	6	section	section	NOUN
ap-4934	22	7	from	from	ADP
ap-4934	22	8	the	the	DET
ap-4934	22	9	hump	hump	NOUN
ap-4934	22	10	crest	crest	PROPN
ap-4934	22	11	(	(	PUNCT
ap-4934	22	12	hc	hc	PROPN
ap-4934	22	13	)	)	PUNCT
ap-4934	22	14	to	to	ADP
ap-4934	22	15	the	the	DET
ap-4934	22	16	design	design	NOUN
ap-4934	22	17	point	point	NOUN
ap-4934	22	18	(	(	PUNCT
ap-4934	22	19	dp	dp	NOUN
ap-4934	22	20	)	)	PUNCT
ap-4934	22	21	were	be	AUX
ap-4934	22	22	located	locate	VERB
ap-4934	22	23	on	on	ADP
ap-4934	22	24	the	the	DET
ap-4934	22	25	descent	descent	NOUN
ap-4934	22	26	.	.	PUNCT
ap-4934	23	1	the	the	DET
ap-4934	23	2	height	height	NOUN
ap-4934	23	3	and	and	CCONJ
ap-4934	23	4	longitudinal	longitudinal	ADJ
ap-4934	23	5	profile	profile	NOUN
ap-4934	23	6	of	of	ADP
ap-4934	23	7	the	the	DET
ap-4934	23	8	arrangement	arrangement	NOUN
ap-4934	23	9	provide	provide	VERB
ap-4934	23	10	,	,	PUNCT
ap-4934	23	11	firstly	firstly	ADV
ap-4934	23	12	,	,	PUNCT
ap-4934	23	13	the	the	DET
ap-4934	23	14	rolling	rolling	NOUN
ap-4934	23	15	of	of	ADP
ap-4934	23	16	slow	slow	ADJ
ap-4934	23	17	light	light	ADJ
ap-4934	23	18	car	car	NOUN
ap-4934	23	19	(	(	PUNCT
ap-4934	23	20	sl	sl	NOUN
ap-4934	23	21	)	)	PUNCT
ap-4934	23	22	in	in	ADP
ap-4934	23	23	unfavourable	unfavourable	ADJ
ap-4934	23	24	winter	winter	NOUN
ap-4934	23	25	conditions	condition	NOUN
ap-4934	23	26	from	from	ADP
ap-4934	23	27	hc	hc	PRON
ap-4934	23	28	to	to	ADP
ap-4934	23	29	dp	dp	PROPN
ap-4934	23	30	,	,	PUNCT
ap-4934	23	31	the	the	DET
ap-4934	23	32	most	most	ADV
ap-4934	23	33	difficult	difficult	ADJ
ap-4934	23	34	track	track	NOUN
ap-4934	23	35	in	in	ADP
ap-4934	23	36	terms	term	NOUN
ap-4934	23	37	of	of	ADP
ap-4934	23	38	resistance	resistance	NOUN
ap-4934	23	39	,	,	PUNCT
ap-4934	23	40	and	and	CCONJ
ap-4934	23	41	,	,	PUNCT
ap-4934	23	42	secondly	secondly	ADV
ap-4934	23	43	,	,	PUNCT
ap-4934	23	44	sufficient	sufficient	ADJ
ap-4934	23	45	intervals	interval	NOUN
ap-4934	23	46	at	at	ADP
ap-4934	23	47	dividing	divide	VERB
ap-4934	23	48	switching	switch	VERB
ap-4934	23	49	points	point	NOUN
ap-4934	23	50	in	in	ADP
ap-4934	23	51	the	the	DET
ap-4934	23	52	sl	sl	PROPN
ap-4934	23	53	-	-	PUNCT
ap-4934	23	54	fh	fh	PROPN
ap-4934	23	55	link	link	NOUN
ap-4934	23	56	(	(	PUNCT
ap-4934	23	57	where	where	SCONJ
ap-4934	23	58	fhfast	fhfast	ADJ
ap-4934	23	59	heavy	heavy	ADJ
ap-4934	23	60	car	car	NOUN
ap-4934	23	61	)	)	PUNCT
ap-4934	23	62	.	.	PUNCT
ap-4934	24	1	370	370	NUM
ap-4934	24	2	http://dx.doi.org/10.14311/ap.2018.58.0370	http://dx.doi.org/10.14311/ap.2018.58.0370	NOUN
ap-4934	24	3	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	NOUN
ap-4934	24	4	vol	vol	NOUN
ap-4934	24	5	.	.	PUNCT
ap-4934	25	1	58	58	NUM
ap-4934	25	2	no	no	INTJ
ap-4934	25	3	.	.	PUNCT
ap-4934	26	1	6/2018	6/2018	NUM
ap-4934	26	2	example	example	NOUN
ap-4934	26	3	of	of	ADP
ap-4934	26	4	an	an	DET
ap-4934	26	5	article	article	NOUN
ap-4934	26	6	with	with	ADP
ap-4934	26	7	xa	xa	PROPN
ap-4934	26	8	long	long	ADJ
ap-4934	26	9	title	title	NOUN
ap-4934	26	10	figure	figure	NOUN
ap-4934	26	11	1	1	NUM
ap-4934	26	12	.	.	PUNCT
ap-4934	27	1	the	the	DET
ap-4934	27	2	arrangement	arrangement	NOUN
ap-4934	27	3	of	of	ADP
ap-4934	27	4	the	the	DET
ap-4934	27	5	guided	guide	VERB
ap-4934	27	6	gravity	gravity	NOUN
ap-4934	27	7	regulation	regulation	NOUN
ap-4934	27	8	of	of	ADP
ap-4934	27	9	cut	cut	ADJ
ap-4934	27	10	braking	braking	NOUN
ap-4934	27	11	.	.	PUNCT
ap-4934	28	1	therefore	therefore	ADV
ap-4934	28	2	,	,	PUNCT
ap-4934	28	3	intervals	interval	NOUN
ap-4934	28	4	between	between	ADP
ap-4934	28	5	cuts	cut	NOUN
ap-4934	28	6	,	,	PUNCT
ap-4934	28	7	sufficient	sufficient	ADJ
ap-4934	28	8	for	for	ADP
ap-4934	28	9	throwing	throw	VERB
ap-4934	28	10	over	over	ADP
ap-4934	28	11	points	point	NOUN
ap-4934	28	12	from	from	ADP
ap-4934	28	13	one	one	NUM
ap-4934	28	14	position	position	NOUN
ap-4934	28	15	to	to	ADP
ap-4934	28	16	another	another	PRON
ap-4934	28	17	,	,	PUNCT
ap-4934	28	18	are	be	AUX
ap-4934	28	19	only	only	ADV
ap-4934	28	20	provided	provide	VERB
ap-4934	28	21	due	due	ADP
ap-4934	28	22	to	to	ADP
ap-4934	28	23	a	a	DET
ap-4934	28	24	special	special	ADJ
ap-4934	28	25	structure	structure	NOUN
ap-4934	28	26	of	of	ADP
ap-4934	28	27	the	the	DET
ap-4934	28	28	descent	descent	NOUN
ap-4934	28	29	part	part	NOUN
ap-4934	28	30	profile	profile	NOUN
ap-4934	28	31	,	,	PUNCT
ap-4934	28	32	and	and	CCONJ
ap-4934	28	33	the	the	DET
ap-4934	28	34	location	location	NOUN
ap-4934	28	35	of	of	ADP
ap-4934	28	36	certain	certain	ADJ
ap-4934	28	37	profile	profile	NOUN
ap-4934	28	38	elements	element	NOUN
ap-4934	28	39	on	on	ADP
ap-4934	28	40	the	the	DET
ap-4934	28	41	ascent	ascent	NOUN
ap-4934	28	42	allows	allow	VERB
ap-4934	28	43	slowing	slow	VERB
ap-4934	28	44	the	the	DET
ap-4934	28	45	cars	car	NOUN
ap-4934	28	46	.	.	PUNCT
ap-4934	29	1	in	in	ADP
ap-4934	29	2	other	other	ADJ
ap-4934	29	3	words	word	NOUN
ap-4934	29	4	,	,	PUNCT
ap-4934	29	5	such	such	DET
ap-4934	29	6	an	an	DET
ap-4934	29	7	arrangement	arrangement	NOUN
ap-4934	29	8	generates	generate	VERB
ap-4934	29	9	the	the	DET
ap-4934	29	10	gravity	gravity	NOUN
ap-4934	29	11	braking	braking	NOUN
ap-4934	29	12	effect	effect	NOUN
ap-4934	29	13	.	.	PUNCT
ap-4934	30	1	when	when	SCONJ
ap-4934	30	2	applying	apply	VERB
ap-4934	30	3	this	this	DET
ap-4934	30	4	sorting	sort	VERB
ap-4934	30	5	arrangement	arrangement	NOUN
ap-4934	30	6	,	,	PUNCT
ap-4934	30	7	yrp	yrp	NOUN
ap-4934	30	8	does	do	AUX
ap-4934	30	9	not	not	PART
ap-4934	30	10	change	change	VERB
ap-4934	30	11	its	its	PRON
ap-4934	30	12	functionality	functionality	NOUN
ap-4934	30	13	.	.	PUNCT
ap-4934	31	1	in	in	ADP
ap-4934	31	2	[	[	X
ap-4934	31	3	8	8	NUM
ap-4934	31	4	]	]	PUNCT
ap-4934	31	5	,	,	PUNCT
ap-4934	31	6	the	the	DET
ap-4934	31	7	authors	author	NOUN
ap-4934	31	8	put	put	VERB
ap-4934	31	9	forward	forward	ADV
ap-4934	31	10	the	the	DET
ap-4934	31	11	hypothesis	hypothesis	NOUN
ap-4934	31	12	that	that	PRON
ap-4934	31	13	under	under	ADP
ap-4934	31	14	automated	automate	VERB
ap-4934	31	15	car	car	NOUN
ap-4934	31	16	processing	processing	NOUN
ap-4934	31	17	,	,	PUNCT
ap-4934	31	18	the	the	DET
ap-4934	31	19	accrued	accrue	VERB
ap-4934	31	20	economic	economic	ADJ
ap-4934	31	21	benefit	benefit	NOUN
ap-4934	31	22	over	over	ADP
ap-4934	31	23	the	the	DET
ap-4934	31	24	calculation	calculation	NOUN
ap-4934	31	25	operational	operational	ADJ
ap-4934	31	26	period	period	NOUN
ap-4934	31	27	for	for	ADP
ap-4934	31	28	the	the	DET
ap-4934	31	29	arrangement	arrangement	NOUN
ap-4934	31	30	will	will	AUX
ap-4934	31	31	exceed	exceed	VERB
ap-4934	31	32	the	the	DET
ap-4934	31	33	accrued	accrue	VERB
ap-4934	31	34	economic	economic	ADJ
ap-4934	31	35	benefit	benefit	NOUN
ap-4934	31	36	over	over	ADP
ap-4934	31	37	the	the	DET
ap-4934	31	38	similar	similar	ADJ
ap-4934	31	39	operational	operational	ADJ
ap-4934	31	40	period	period	NOUN
ap-4934	31	41	for	for	ADP
ap-4934	31	42	a	a	DET
ap-4934	31	43	conventional	conventional	ADJ
ap-4934	31	44	automated	automate	VERB
ap-4934	31	45	sorting	sorting	NOUN
ap-4934	31	46	hump	hump	NOUN
ap-4934	31	47	.	.	PUNCT
ap-4934	32	1	even	even	ADV
ap-4934	32	2	if	if	SCONJ
ap-4934	32	3	the	the	DET
ap-4934	32	4	costs	cost	NOUN
ap-4934	32	5	of	of	ADP
ap-4934	32	6	cut	cut	ADJ
ap-4934	32	7	rolling	rolling	ADJ
ap-4934	32	8	speed	speed	NOUN
ap-4934	32	9	regulators	regulator	NOUN
ap-4934	32	10	can	can	AUX
ap-4934	32	11	be	be	AUX
ap-4934	32	12	twice	twice	ADV
ap-4934	32	13	as	as	ADV
ap-4934	32	14	higher	high	ADJ
ap-4934	32	15	when	when	SCONJ
ap-4934	32	16	applying	apply	VERB
ap-4934	32	17	the	the	DET
ap-4934	32	18	technology	technology	NOUN
ap-4934	32	19	of	of	ADP
ap-4934	32	20	guided	guide	VERB
ap-4934	32	21	gravity	gravity	NOUN
ap-4934	32	22	regulation	regulation	NOUN
ap-4934	32	23	of	of	ADP
ap-4934	32	24	cut	cut	NOUN
ap-4934	32	25	braking	braking	NOUN
ap-4934	32	26	(	(	PUNCT
ap-4934	32	27	additional	additional	ADJ
ap-4934	32	28	investment	investment	NOUN
ap-4934	32	29	into	into	ADP
ap-4934	32	30	automated	automate	VERB
ap-4934	32	31	devices	device	NOUN
ap-4934	32	32	for	for	ADP
ap-4934	32	33	conventional	conventional	ADJ
ap-4934	32	34	humps	hump	NOUN
ap-4934	32	35	can	can	AUX
ap-4934	32	36	compensate	compensate	VERB
ap-4934	32	37	the	the	DET
ap-4934	32	38	difference	difference	NOUN
ap-4934	32	39	of	of	ADP
ap-4934	32	40	investment	investment	NOUN
ap-4934	32	41	into	into	ADP
ap-4934	32	42	car	car	NOUN
ap-4934	32	43	retarders	retarder	NOUN
ap-4934	32	44	)	)	PUNCT
ap-4934	32	45	.	.	PUNCT
ap-4934	33	1	2	2	X
ap-4934	33	2	.	.	X
ap-4934	33	3	a	a	DET
ap-4934	33	4	method	method	NOUN
ap-4934	33	5	of	of	ADP
ap-4934	33	6	complex	complex	ADJ
ap-4934	33	7	calculation	calculation	NOUN
ap-4934	33	8	of	of	ADP
ap-4934	33	9	rational	rational	ADJ
ap-4934	33	10	structural	structural	ADJ
ap-4934	33	11	parameters	parameter	NOUN
ap-4934	33	12	of	of	ADP
ap-4934	33	13	railway	railway	NOUN
ap-4934	33	14	humps	hump	NOUN
ap-4934	33	15	therefore	therefore	ADV
ap-4934	33	16	,	,	PUNCT
ap-4934	33	17	the	the	DET
ap-4934	33	18	most	most	ADV
ap-4934	33	19	efficient	efficient	ADJ
ap-4934	33	20	structural	structural	ADJ
ap-4934	33	21	variant	variant	NOUN
ap-4934	33	22	for	for	ADP
ap-4934	33	23	a	a	DET
ap-4934	33	24	hump	hump	NOUN
ap-4934	33	25	design	design	NOUN
ap-4934	33	26	with	with	ADP
ap-4934	33	27	the	the	DET
ap-4934	33	28	guided	guide	VERB
ap-4934	33	29	gravity	gravity	NOUN
ap-4934	33	30	regulation	regulation	NOUN
ap-4934	33	31	of	of	ADP
ap-4934	33	32	cut	cut	NOUN
ap-4934	33	33	braking	braking	NOUN
ap-4934	33	34	is	be	AUX
ap-4934	33	35	the	the	DET
ap-4934	33	36	variant	variant	NOUN
ap-4934	33	37	of	of	ADP
ap-4934	33	38	the	the	DET
ap-4934	33	39	least	least	ADJ
ap-4934	33	40	needed	need	VERB
ap-4934	33	41	capacity	capacity	NOUN
ap-4934	33	42	of	of	ADP
ap-4934	33	43	the	the	DET
ap-4934	33	44	yrp	yrp	NOUN
ap-4934	33	45	(	(	PUNCT
ap-4934	33	46	hyrp	hyrp	NOUN
ap-4934	33	47	)	)	PUNCT
ap-4934	33	48	in	in	ADP
ap-4934	33	49	terms	term	NOUN
ap-4934	33	50	of	of	ADP
ap-4934	33	51	meeting	meeting	NOUN
ap-4934	33	52	requirements	requirement	NOUN
ap-4934	33	53	for	for	ADP
ap-4934	33	54	safety	safety	NOUN
ap-4934	33	55	and	and	CCONJ
ap-4934	33	56	fail	fail	ADJ
ap-4934	33	57	-	-	PUNCT
ap-4934	33	58	safe	safe	ADJ
ap-4934	33	59	sorting	sort	VERB
ap-4934	33	60	operations	operation	NOUN
ap-4934	33	61	.	.	PUNCT
ap-4934	34	1	thus	thus	ADV
ap-4934	34	2	,	,	PUNCT
ap-4934	34	3	the	the	DET
ap-4934	34	4	needed	need	VERB
ap-4934	34	5	capacity	capacity	NOUN
ap-4934	34	6	of	of	ADP
ap-4934	34	7	the	the	DET
ap-4934	34	8	yrp	yrp	NOUN
ap-4934	34	9	is	be	AUX
ap-4934	34	10	the	the	DET
ap-4934	34	11	criterion	criterion	NOUN
ap-4934	34	12	for	for	ADP
ap-4934	34	13	rationalized	rationalized	ADJ
ap-4934	34	14	structural	structural	ADJ
ap-4934	34	15	parameters	parameter	NOUN
ap-4934	34	16	of	of	ADP
ap-4934	34	17	a	a	DET
ap-4934	34	18	hump	hump	NOUN
ap-4934	34	19	with	with	ADP
ap-4934	34	20	the	the	DET
ap-4934	34	21	guided	guide	VERB
ap-4934	34	22	gravity	gravity	NOUN
ap-4934	34	23	braking	braking	NOUN
ap-4934	34	24	technology	technology	NOUN
ap-4934	34	25	for	for	ADP
ap-4934	34	26	cuts	cut	NOUN
ap-4934	34	27	.	.	PUNCT
ap-4934	35	1	as	as	ADV
ap-4934	35	2	far	far	ADV
ap-4934	35	3	as	as	ADP
ap-4934	35	4	for	for	ADP
ap-4934	35	5	a	a	DET
ap-4934	35	6	certain	certain	ADJ
ap-4934	35	7	hump	hump	NOUN
ap-4934	35	8	,	,	PUNCT
ap-4934	35	9	if	if	SCONJ
ap-4934	35	10	the	the	DET
ap-4934	35	11	position	position	NOUN
ap-4934	35	12	of	of	ADP
ap-4934	35	13	its	its	PRON
ap-4934	35	14	crest	crest	NOUN
ap-4934	35	15	and	and	CCONJ
ap-4934	35	16	profile	profile	VERB
ap-4934	35	17	element	element	NOUN
ap-4934	35	18	length	length	NOUN
ap-4934	35	19	are	be	AUX
ap-4934	35	20	constants	constant	NOUN
ap-4934	35	21	,	,	PUNCT
ap-4934	35	22	then	then	ADV
ap-4934	35	23	:	:	PUNCT
ap-4934	35	24	hyrp	hyrp	NOUN
ap-4934	35	25	=	=	SYM
ap-4934	35	26	f(i1	f(i1	PROPN
ap-4934	35	27	,	,	PUNCT
ap-4934	35	28	i2	i2	PROPN
ap-4934	35	29	,	,	PUNCT
ap-4934	35	30	.	.	PUNCT
ap-4934	35	31	.	.	PUNCT
ap-4934	36	1	.	.	PUNCT
ap-4934	37	1	,	,	PUNCT
ap-4934	37	2	in	in	ADP
ap-4934	37	3	)	)	PUNCT
ap-4934	37	4	,	,	PUNCT
ap-4934	37	5	(	(	PUNCT
ap-4934	37	6	1	1	X
ap-4934	37	7	)	)	PUNCT
ap-4934	37	8	where	where	SCONJ
ap-4934	37	9	i1	i1	PROPN
ap-4934	37	10	,	,	PUNCT
ap-4934	37	11	i2	i2	PROPN
ap-4934	37	12	,	,	PUNCT
ap-4934	37	13	.	.	PUNCT
ap-4934	37	14	.	.	PUNCT
ap-4934	37	15	.	.	PUNCT
ap-4934	38	1	,	,	PUNCT
ap-4934	38	2	in	in	ADP
ap-4934	38	3	—	—	PUNCT
ap-4934	38	4	the	the	DET
ap-4934	38	5	slopes	slope	NOUN
ap-4934	38	6	of	of	ADP
ap-4934	38	7	section	section	NOUN
ap-4934	38	8	elements	element	NOUN
ap-4934	38	9	from	from	ADP
ap-4934	38	10	the	the	DET
ap-4934	38	11	hump	hump	NOUN
ap-4934	38	12	crest	crest	NOUN
ap-4934	38	13	to	to	ADP
ap-4934	38	14	the	the	DET
ap-4934	38	15	origin	origin	NOUN
ap-4934	38	16	of	of	ADP
ap-4934	38	17	the	the	DET
ap-4934	38	18	switching	switch	VERB
ap-4934	38	19	area	area	NOUN
ap-4934	38	20	.	.	PUNCT
ap-4934	39	1	let	let	VERB
ap-4934	39	2	us	we	PRON
ap-4934	39	3	develop	develop	VERB
ap-4934	39	4	the	the	DET
ap-4934	39	5	objective	objective	ADJ
ap-4934	39	6	function	function	NOUN
ap-4934	39	7	to	to	PART
ap-4934	39	8	define	define	VERB
ap-4934	39	9	the	the	DET
ap-4934	39	10	rational	rational	ADJ
ap-4934	39	11	values	value	NOUN
ap-4934	39	12	of	of	ADP
ap-4934	39	13	structural	structural	ADJ
ap-4934	39	14	parameters	parameter	NOUN
ap-4934	39	15	of	of	ADP
ap-4934	39	16	a	a	DET
ap-4934	39	17	hump	hump	NOUN
ap-4934	39	18	.	.	PUNCT
ap-4934	40	1	under	under	ADP
ap-4934	40	2	favourable	favourable	ADJ
ap-4934	40	3	rolling	rolling	ADJ
ap-4934	40	4	conditions	condition	NOUN
ap-4934	40	5	,	,	PUNCT
ap-4934	40	6	the	the	DET
ap-4934	40	7	needed	need	VERB
ap-4934	40	8	capacity	capacity	NOUN
ap-4934	40	9	of	of	ADP
ap-4934	40	10	the	the	DET
ap-4934	40	11	yard	yard	NOUN
ap-4934	40	12	retarder	retarder	NOUN
ap-4934	40	13	position	position	NOUN
ap-4934	40	14	,	,	PUNCT
ap-4934	40	15	according	accord	VERB
ap-4934	40	16	to	to	ADP
ap-4934	40	17	[	[	X
ap-4934	40	18	1	1	NUM
ap-4934	40	19	]	]	PUNCT
ap-4934	40	20	,	,	PUNCT
ap-4934	40	21	is	be	AUX
ap-4934	40	22	defined	define	VERB
ap-4934	40	23	as	as	SCONJ
ap-4934	40	24	follows	follow	VERB
ap-4934	40	25	:	:	PUNCT
ap-4934	41	1	hyrp	hyrp	NOUN
ap-4934	41	2	=	=	SYM
ap-4934	41	3	ken	ken	PROPN
ap-4934	41	4	(	(	PUNCT
ap-4934	41	5	(	(	PUNCT
ap-4934	41	6	n∑	n∑	NOUN
ap-4934	41	7	r=1	r=1	NOUN
ap-4934	41	8	lrir	lrir	NOUN
ap-4934	41	9	+	+	CCONJ
ap-4934	41	10	lswitchiswitch	lswitchiswitch	NOUN
ap-4934	41	11	+4lstist	+4lstist	PROPN
ap-4934	41	12	)	)	PUNCT
ap-4934	41	13	·	·	PUNCT
ap-4934	42	1	10−3	10−3	NUM
ap-4934	42	2	+	+	CCONJ
ap-4934	42	3	v	v	NUM
ap-4934	42	4	2	2	NUM
ap-4934	42	5	0	0	NUM
ap-4934	42	6	2	2	NUM
ap-4934	42	7	·	·	PUNCT
ap-4934	42	8	g′	g′	NOUN
ap-4934	42	9	)	)	PUNCT
ap-4934	42	10	=	=	PRON
ap-4934	42	11	(	(	PUNCT
ap-4934	42	12	w0lhc	w0lhc	PROPN
ap-4934	42	13	-	-	PUNCT
ap-4934	42	14	sa	sa	NOUN
ap-4934	42	15	+	+	NUM
ap-4934	42	16	v	v	NUM
ap-4934	42	17	2	2	NUM
ap-4934	42	18	mid(hc	mid(hc	NOUN
ap-4934	42	19	-	-	PUNCT
ap-4934	42	20	sa	sa	NOUN
ap-4934	42	21	)	)	PUNCT
ap-4934	42	22	·	·	PUNCT
ap-4934	42	23	(	(	PUNCT
ap-4934	42	24	0.56	0.56	NUM
ap-4934	42	25	·	·	PUNCT
ap-4934	42	26	nhc	nhc	PROPN
ap-4934	42	27	-	-	PUNCT
ap-4934	42	28	sa	sa	PROPN
ap-4934	42	29	+	+	NUM
ap-4934	42	30	0.23	0.23	NUM
ap-4934	42	31	·	·	PUNCT
ap-4934	42	32	∑	∑	ADP
ap-4934	42	33	αhc	αhc	PROPN
ap-4934	42	34	-	-	PUNCT
ap-4934	42	35	sa	sa	NOUN
ap-4934	42	36	)	)	PUNCT
ap-4934	42	37	)	)	PUNCT
ap-4934	42	38	·	·	PUNCT
ap-4934	43	1	10−3	10−3	NUM
ap-4934	43	2	−	−	NOUN
ap-4934	43	3	(	(	PUNCT
ap-4934	43	4	lswitchiswitch	lswitchiswitch	PROPN
ap-4934	43	5	+4lstist	+4lstist	PROPN
ap-4934	43	6	)	)	PUNCT
ap-4934	43	7	·	·	PUNCT
ap-4934	43	8	10−3	10−3	NUM
ap-4934	43	9	)	)	PUNCT
ap-4934	43	10	,	,	PUNCT
ap-4934	43	11	(	(	PUNCT
ap-4934	43	12	2	2	X
ap-4934	43	13	)	)	PUNCT
ap-4934	43	14	371	371	NUM
ap-4934	43	15	s.	s.	PROPN
ap-4934	43	16	panchenko	panchenko	PROPN
ap-4934	43	17	,	,	PUNCT
ap-4934	43	18	o.	o.	PROPN
ap-4934	43	19	ohar	ohar	PROPN
ap-4934	43	20	,	,	PUNCT
ap-4934	43	21	m.	m.	PROPN
ap-4934	43	22	kutsenko	kutsenko	PROPN
ap-4934	43	23	,	,	PUNCT
ap-4934	43	24	j.	j.	PROPN
ap-4934	43	25	smachilo	smachilo	PROPN
ap-4934	43	26	acta	acta	PROPN
ap-4934	43	27	polytechnica	polytechnica	PROPN
ap-4934	43	28	where	where	SCONJ
ap-4934	43	29	ken	ken	PROPN
ap-4934	43	30	–	–	PUNCT
ap-4934	43	31	the	the	DET
ap-4934	43	32	enlargement	enlargement	NOUN
ap-4934	43	33	factor	factor	NOUN
ap-4934	43	34	of	of	ADP
ap-4934	43	35	the	the	DET
ap-4934	43	36	minimal	minimal	ADJ
ap-4934	43	37	design	design	NOUN
ap-4934	43	38	capacity	capacity	NOUN
ap-4934	43	39	of	of	ADP
ap-4934	43	40	retarder	retarder	NOUN
ap-4934	43	41	positions	position	NOUN
ap-4934	43	42	on	on	ADP
ap-4934	43	43	the	the	DET
ap-4934	43	44	hump	hump	NOUN
ap-4934	43	45	descent	descent	NOUN
ap-4934	43	46	;	;	PUNCT
ap-4934	43	47	n	n	X
ap-4934	43	48	–	–	PUNCT
ap-4934	43	49	the	the	DET
ap-4934	43	50	number	number	NOUN
ap-4934	43	51	of	of	ADP
ap-4934	43	52	profile	profile	ADJ
ap-4934	43	53	elements	element	NOUN
ap-4934	43	54	of	of	ADP
ap-4934	43	55	the	the	DET
ap-4934	43	56	descend	descend	NOUN
ap-4934	43	57	(	(	PUNCT
ap-4934	43	58	from	from	ADP
ap-4934	43	59	the	the	DET
ap-4934	43	60	hump	hump	NOUN
ap-4934	43	61	crest	crest	NOUN
ap-4934	43	62	to	to	ADP
ap-4934	43	63	the	the	DET
ap-4934	43	64	origin	origin	NOUN
ap-4934	43	65	of	of	ADP
ap-4934	43	66	the	the	DET
ap-4934	43	67	switching	switch	VERB
ap-4934	43	68	area	area	NOUN
ap-4934	43	69	)	)	PUNCT
ap-4934	43	70	;	;	PUNCT
ap-4934	43	71	lr	lr	X
ap-4934	43	72	,	,	PUNCT
ap-4934	43	73	ir	ir	X
ap-4934	43	74	–	–	PUNCT
ap-4934	43	75	the	the	DET
ap-4934	43	76	length	length	NOUN
ap-4934	43	77	,	,	PUNCT
ap-4934	43	78	m	m	PROPN
ap-4934	43	79	and	and	CCONJ
ap-4934	43	80	the	the	DET
ap-4934	43	81	slope	slope	NOUN
ap-4934	43	82	,	,	PUNCT
ap-4934	43	83	%	%	NOUN
ap-4934	43	84	0	0	NUM
ap-4934	43	85	of	of	ADP
ap-4934	43	86	the	the	DET
ap-4934	43	87	profile	profile	ADJ
ap-4934	43	88	elements	element	NOUN
ap-4934	43	89	of	of	ADP
ap-4934	43	90	a	a	DET
ap-4934	43	91	hump	hump	NOUN
ap-4934	43	92	from	from	ADP
ap-4934	43	93	the	the	DET
ap-4934	43	94	crest	crest	NOUN
ap-4934	43	95	to	to	ADP
ap-4934	43	96	the	the	DET
ap-4934	43	97	origin	origin	NOUN
ap-4934	43	98	of	of	ADP
ap-4934	43	99	the	the	DET
ap-4934	43	100	switching	switch	VERB
ap-4934	43	101	area	area	NOUN
ap-4934	43	102	)	)	PUNCT
ap-4934	43	103	,	,	PUNCT
ap-4934	43	104	respectively	respectively	ADV
ap-4934	43	105	;	;	PUNCT
ap-4934	43	106	lswitch	lswitch	NOUN
ap-4934	43	107	,	,	PUNCT
ap-4934	43	108	iswitch	iswitch	VERB
ap-4934	43	109	–	–	PUNCT
ap-4934	43	110	the	the	DET
ap-4934	43	111	length	length	NOUN
ap-4934	43	112	,	,	PUNCT
ap-4934	43	113	m	m	PROPN
ap-4934	43	114	and	and	CCONJ
ap-4934	43	115	the	the	DET
ap-4934	43	116	slope	slope	NOUN
ap-4934	43	117	,	,	PUNCT
ap-4934	43	118	‰	‰	NOUN
ap-4934	43	119	of	of	ADP
ap-4934	43	120	the	the	DET
ap-4934	43	121	switching	switch	VERB
ap-4934	43	122	area	area	NOUN
ap-4934	43	123	,	,	PUNCT
ap-4934	43	124	respectively	respectively	ADV
ap-4934	43	125	;	;	PUNCT
ap-4934	43	126	4lst	4lst	NUM
ap-4934	43	127	,	,	PUNCT
ap-4934	43	128	ist	ist	NOUN
ap-4934	43	129	–	–	PUNCT
ap-4934	43	130	the	the	DET
ap-4934	43	131	length	length	NOUN
ap-4934	43	132	,	,	PUNCT
ap-4934	43	133	m	m	PROPN
ap-4934	43	134	and	and	CCONJ
ap-4934	43	135	the	the	DET
ap-4934	43	136	slope	slope	NOUN
ap-4934	43	137	,	,	PUNCT
ap-4934	43	138	‰	‰	NOUN
ap-4934	43	139	of	of	ADP
ap-4934	43	140	the	the	DET
ap-4934	43	141	sorting	sort	VERB
ap-4934	43	142	track	track	NOUN
ap-4934	43	143	section	section	NOUN
ap-4934	43	144	from	from	ADP
ap-4934	43	145	the	the	DET
ap-4934	43	146	switching	switch	VERB
ap-4934	43	147	area	area	NOUN
ap-4934	43	148	to	to	ADP
ap-4934	43	149	the	the	DET
ap-4934	43	150	origin	origin	NOUN
ap-4934	43	151	of	of	ADP
ap-4934	43	152	yrp	yrp	NOUN
ap-4934	43	153	;	;	PUNCT
ap-4934	43	154	v0	v0	PROPN
ap-4934	43	155	–	–	PUNCT
ap-4934	43	156	the	the	DET
ap-4934	43	157	initial	initial	ADJ
ap-4934	43	158	speed	speed	NOUN
ap-4934	43	159	of	of	ADP
ap-4934	43	160	the	the	DET
ap-4934	43	161	consist	consist	NOUN
ap-4934	43	162	shunting	shunt	VERB
ap-4934	43	163	on	on	ADP
ap-4934	43	164	the	the	DET
ap-4934	43	165	hump	hump	NOUN
ap-4934	43	166	crest	crest	NOUN
ap-4934	43	167	,	,	PUNCT
ap-4934	43	168	m	m	PROPN
ap-4934	43	169	/	/	SYM
ap-4934	43	170	s	s	PROPN
ap-4934	43	171	;	;	PUNCT
ap-4934	43	172	g′	g′	NOUN
ap-4934	43	173	–	–	PUNCT
ap-4934	43	174	the	the	DET
ap-4934	43	175	acceleration	acceleration	NOUN
ap-4934	43	176	of	of	ADP
ap-4934	43	177	the	the	DET
ap-4934	43	178	gravity	gravity	NOUN
ap-4934	43	179	force	force	NOUN
ap-4934	43	180	of	of	ADP
ap-4934	43	181	a	a	DET
ap-4934	43	182	heavy	heavy	ADJ
ap-4934	43	183	car	car	NOUN
ap-4934	43	184	with	with	ADP
ap-4934	43	185	consideration	consideration	NOUN
ap-4934	43	186	of	of	ADP
ap-4934	43	187	the	the	DET
ap-4934	43	188	rotating	rotate	VERB
ap-4934	43	189	wheelset	wheelset	VERB
ap-4934	43	190	masses	masse	NOUN
ap-4934	43	191	,	,	PUNCT
ap-4934	43	192	m	m	NOUN
ap-4934	43	193	/	/	SYM
ap-4934	43	194	s2	s2	PROPN
ap-4934	43	195	;	;	PUNCT
ap-4934	43	196	w0	w0	PROPN
ap-4934	43	197	–	–	PUNCT
ap-4934	43	198	the	the	DET
ap-4934	43	199	basic	basic	ADJ
ap-4934	43	200	specific	specific	ADJ
ap-4934	43	201	resistance	resistance	NOUN
ap-4934	43	202	to	to	ADP
ap-4934	43	203	a	a	DET
ap-4934	43	204	heavy	heavy	ADJ
ap-4934	43	205	car	car	NOUN
ap-4934	43	206	,	,	PUNCT
ap-4934	43	207	n	n	CCONJ
ap-4934	43	208	/	/	SYM
ap-4934	43	209	kn	kn	PROPN
ap-4934	43	210	;	;	PUNCT
ap-4934	43	211	lhc	lhc	PROPN
ap-4934	43	212	-	-	PUNCT
ap-4934	43	213	sa	sa	PROPN
ap-4934	43	214	–	–	PUNCT
ap-4934	43	215	the	the	DET
ap-4934	43	216	section	section	NOUN
ap-4934	43	217	length	length	NOUN
ap-4934	43	218	from	from	ADP
ap-4934	43	219	the	the	DET
ap-4934	43	220	hump	hump	NOUN
ap-4934	43	221	crest	crest	NOUN
ap-4934	43	222	to	to	ADP
ap-4934	43	223	the	the	DET
ap-4934	43	224	origin	origin	NOUN
ap-4934	43	225	of	of	ADP
ap-4934	43	226	the	the	DET
ap-4934	43	227	switching	switch	VERB
ap-4934	43	228	area	area	NOUN
ap-4934	43	229	,	,	PUNCT
ap-4934	43	230	m	m	PROPN
ap-4934	43	231	;	;	PUNCT
ap-4934	43	232	v	v	NUM
ap-4934	43	233	2	2	NUM
ap-4934	43	234	mid(hc	mid(hc	NOUN
ap-4934	43	235	-	-	PUNCT
ap-4934	43	236	sa	sa	NOUN
ap-4934	43	237	)	)	PUNCT
ap-4934	43	238	–	–	PUNCT
ap-4934	43	239	the	the	DET
ap-4934	43	240	average	average	ADJ
ap-4934	43	241	speed	speed	NOUN
ap-4934	43	242	of	of	ADP
ap-4934	43	243	a	a	DET
ap-4934	43	244	heavy	heavy	ADJ
ap-4934	43	245	car	car	NOUN
ap-4934	43	246	on	on	ADP
ap-4934	43	247	the	the	DET
ap-4934	43	248	section	section	NOUN
ap-4934	43	249	from	from	ADP
ap-4934	43	250	the	the	DET
ap-4934	43	251	hump	hump	NOUN
ap-4934	43	252	crest	crest	NOUN
ap-4934	43	253	to	to	ADP
ap-4934	43	254	the	the	DET
ap-4934	43	255	origin	origin	NOUN
ap-4934	43	256	of	of	ADP
ap-4934	43	257	the	the	DET
ap-4934	43	258	switching	switch	VERB
ap-4934	43	259	area	area	NOUN
ap-4934	43	260	,	,	PUNCT
ap-4934	43	261	m	m	PROPN
ap-4934	43	262	/	/	SYM
ap-4934	43	263	s	s	PROPN
ap-4934	43	264	;	;	PUNCT
ap-4934	43	265	nhc	nhc	PROPN
ap-4934	43	266	-	-	PUNCT
ap-4934	43	267	sa	sa	PROPN
ap-4934	43	268	–	–	PUNCT
ap-4934	43	269	the	the	DET
ap-4934	43	270	number	number	NOUN
ap-4934	43	271	of	of	ADP
ap-4934	43	272	switching	switch	VERB
ap-4934	43	273	points	point	NOUN
ap-4934	43	274	on	on	ADP
ap-4934	43	275	the	the	DET
ap-4934	43	276	section	section	NOUN
ap-4934	43	277	from	from	ADP
ap-4934	43	278	the	the	DET
ap-4934	43	279	hump	hump	NOUN
ap-4934	43	280	crest	crest	NOUN
ap-4934	43	281	to	to	ADP
ap-4934	43	282	the	the	DET
ap-4934	43	283	origin	origin	NOUN
ap-4934	43	284	to	to	ADP
ap-4934	43	285	the	the	DET
ap-4934	43	286	switching	switching	NOUN
ap-4934	43	287	area;∑	area;∑	NOUN
ap-4934	43	288	αhc	αhc	PROPN
ap-4934	43	289	-	-	PUNCT
ap-4934	43	290	sa	sa	NOUN
ap-4934	43	291	–	–	PUNCT
ap-4934	43	292	the	the	DET
ap-4934	43	293	sum	sum	NOUN
ap-4934	43	294	of	of	ADP
ap-4934	43	295	the	the	DET
ap-4934	43	296	rotation	rotation	NOUN
ap-4934	43	297	angles	angle	VERB
ap-4934	43	298	on	on	ADP
ap-4934	43	299	the	the	DET
ap-4934	43	300	section	section	NOUN
ap-4934	43	301	from	from	ADP
ap-4934	43	302	the	the	DET
ap-4934	43	303	hump	hump	NOUN
ap-4934	43	304	crest	crest	NOUN
ap-4934	43	305	to	to	ADP
ap-4934	43	306	the	the	DET
ap-4934	43	307	origin	origin	NOUN
ap-4934	43	308	of	of	ADP
ap-4934	43	309	the	the	DET
ap-4934	43	310	switching	switch	VERB
ap-4934	43	311	area	area	NOUN
ap-4934	43	312	.	.	PUNCT
ap-4934	44	1	since	since	SCONJ
ap-4934	44	2	each	each	DET
ap-4934	44	3	profile	profile	NOUN
ap-4934	44	4	element	element	NOUN
ap-4934	44	5	consists	consist	VERB
ap-4934	44	6	of	of	ADP
ap-4934	44	7	technological	technological	ADJ
ap-4934	44	8	elements	element	NOUN
ap-4934	44	9	:	:	PUNCT
ap-4934	44	10	n∑	n∑	NOUN
ap-4934	44	11	r=1	r=1	NOUN
ap-4934	44	12	lrir	lrir	NOUN
ap-4934	44	13	=	=	SYM
ap-4934	44	14	m∑	m∑	CCONJ
ap-4934	44	15	i=1	i=1	PROPN
ap-4934	44	16	liii	liii	PROPN
ap-4934	44	17	,	,	PUNCT
ap-4934	44	18	v	v	NOUN
ap-4934	44	19	2	2	NUM
ap-4934	44	20	mid(hc	mid(hc	NOUN
ap-4934	44	21	-	-	PUNCT
ap-4934	44	22	sa	sa	NOUN
ap-4934	44	23	)	)	PUNCT
ap-4934	44	24	(	(	PUNCT
ap-4934	44	25	0.56	0.56	NUM
ap-4934	44	26	·	·	PUNCT
ap-4934	44	27	nhc	nhc	PROPN
ap-4934	44	28	-	-	PUNCT
ap-4934	44	29	sa	sa	PROPN
ap-4934	44	30	+	+	NUM
ap-4934	44	31	0.23	0.23	NUM
ap-4934	44	32	·	·	PUNCT
ap-4934	44	33	∑	∑	ADP
ap-4934	44	34	αhc	αhc	PROPN
ap-4934	44	35	-	-	PUNCT
ap-4934	44	36	sa	sa	NOUN
ap-4934	44	37	)	)	PUNCT
ap-4934	45	1	=	=	PUNCT
ap-4934	45	2	m∑	m∑	CCONJ
ap-4934	45	3	i=1	i=1	PROPN
ap-4934	45	4	(	(	PUNCT
ap-4934	45	5	0.56	0.56	NUM
ap-4934	45	6	·	·	PUNCT
ap-4934	45	7	ni	ni	PROPN
ap-4934	45	8	+	+	PROPN
ap-4934	45	9	0.23	0.23	NUM
ap-4934	45	10	·	·	PUNCT
ap-4934	45	11	∑	∑	PUNCT
ap-4934	45	12	ai	ai	VERB
ap-4934	45	13	)	)	PUNCT
ap-4934	45	14	·	·	PUNCT
ap-4934	46	1	v	v	ADP
ap-4934	46	2	2	2	NUM
ap-4934	46	3	mid(i	mid(i	PROPN
ap-4934	46	4	)	)	PUNCT
ap-4934	46	5	,	,	PUNCT
ap-4934	46	6	(	(	PUNCT
ap-4934	46	7	3	3	X
ap-4934	46	8	)	)	PUNCT
ap-4934	46	9	where	where	SCONJ
ap-4934	46	10	m	m	AUX
ap-4934	46	11	–	–	PUNCT
ap-4934	46	12	the	the	DET
ap-4934	46	13	number	number	NOUN
ap-4934	46	14	of	of	ADP
ap-4934	46	15	technological	technological	ADJ
ap-4934	46	16	elements	element	NOUN
ap-4934	46	17	.	.	PUNCT
ap-4934	47	1	the	the	DET
ap-4934	47	2	values	value	NOUN
ap-4934	47	3	v0	v0	PROPN
ap-4934	47	4	,	,	PUNCT
ap-4934	47	5	g	g	PROPN
ap-4934	47	6	′	′	NUM
ap-4934	47	7	,	,	PUNCT
ap-4934	47	8	w0	w0	PROPN
ap-4934	47	9	,	,	PUNCT
ap-4934	47	10	li	li	PROPN
ap-4934	47	11	,	,	PUNCT
ap-4934	47	12	ni	ni	PROPN
ap-4934	47	13	,	,	PUNCT
ap-4934	47	14	∑	∑	PUNCT
ap-4934	47	15	αi	αi	VERB
ap-4934	47	16	for	for	ADP
ap-4934	47	17	i	i	PROPN
ap-4934	47	18	=	=	NOUN
ap-4934	47	19	1	1	NUM
ap-4934	47	20	,	,	PUNCT
ap-4934	47	21	.	.	PUNCT
ap-4934	47	22	.	.	PUNCT
ap-4934	47	23	.	.	PUNCT
ap-4934	48	1	,	,	PUNCT
ap-4934	48	2	m	m	PROPN
ap-4934	48	3	are	be	AUX
ap-4934	48	4	constants	constant	NOUN
ap-4934	48	5	.	.	PUNCT
ap-4934	49	1	let	let	VERB
ap-4934	49	2	:	:	PUNCT
ap-4934	50	1	ken	ken	PROPN
ap-4934	50	2	=	=	PUNCT
ap-4934	50	3	a	a	PROPN
ap-4934	50	4	,	,	PUNCT
ap-4934	50	5	v	v	NOUN
ap-4934	50	6	2	2	NUM
ap-4934	50	7	0	0	NUM
ap-4934	50	8	2	2	NUM
ap-4934	50	9	·	·	PUNCT
ap-4934	50	10	g′	g′	NOUN
ap-4934	50	11	−	−	NOUN
ap-4934	50	12	lhc	lhc	NOUN
ap-4934	50	13	-	-	PUNCT
ap-4934	50	14	saw0	saw0	PROPN
ap-4934	50	15	·	·	PUNCT
ap-4934	50	16	10−3	10−3	NUM
ap-4934	50	17	=	=	SYM
ap-4934	50	18	b	b	PROPN
ap-4934	50	19	,	,	PUNCT
ap-4934	50	20	(	(	PUNCT
ap-4934	50	21	0.56	0.56	NUM
ap-4934	50	22	·	·	PUNCT
ap-4934	50	23	ni	ni	PROPN
ap-4934	50	24	+	+	PROPN
ap-4934	50	25	0.23	0.23	NUM
ap-4934	50	26	·	·	PUNCT
ap-4934	50	27	∑	∑	PUNCT
ap-4934	50	28	αi	αi	X
ap-4934	50	29	)	)	PUNCT
ap-4934	50	30	·	·	PUNCT
ap-4934	50	31	10−3	10−3	NUM
ap-4934	50	32	=	=	SYM
ap-4934	50	33	ci	ci	PROPN
ap-4934	50	34	,	,	PUNCT
ap-4934	50	35	(	(	PUNCT
ap-4934	50	36	4	4	X
ap-4934	50	37	)	)	PUNCT
ap-4934	50	38	then	then	ADV
ap-4934	50	39	hyrp	hyrp	NOUN
ap-4934	50	40	=	=	PUNCT
ap-4934	50	41	a	a	PROPN
ap-4934	50	42	(	(	PUNCT
ap-4934	50	43	m∑	m∑	INTJ
ap-4934	50	44	i=1	i=1	PROPN
ap-4934	50	45	(	(	PUNCT
ap-4934	50	46	liii	liii	PROPN
ap-4934	50	47	)	)	PUNCT
ap-4934	50	48	·	·	PUNCT
ap-4934	51	1	10−3	10−3	NUM
ap-4934	52	1	+	+	SYM
ap-4934	52	2	b	b	NOUN
ap-4934	52	3	+	+	CCONJ
ap-4934	52	4	m∑	m∑	PROPN
ap-4934	52	5	i=1	i=1	PROPN
ap-4934	52	6	ci	ci	PROPN
ap-4934	52	7	·	·	PUNCT
ap-4934	52	8	v	v	ADP
ap-4934	52	9	2	2	NUM
ap-4934	52	10	mid(i	mid(i	PROPN
ap-4934	52	11	)	)	PUNCT
ap-4934	52	12	)	)	PUNCT
ap-4934	52	13	→	→	SYM
ap-4934	52	14	hyrp(min	hyrp(min	NOUN
ap-4934	52	15	)	)	PUNCT
ap-4934	52	16	.	.	PUNCT
ap-4934	53	1	(	(	PUNCT
ap-4934	53	2	5	5	X
ap-4934	53	3	)	)	PUNCT
ap-4934	53	4	the	the	DET
ap-4934	53	5	average	average	ADJ
ap-4934	53	6	rolling	rolling	ADJ
ap-4934	53	7	speed	speed	NOUN
ap-4934	53	8	of	of	ADP
ap-4934	53	9	a	a	DET
ap-4934	53	10	heavy	heavy	ADJ
ap-4934	53	11	car	car	NOUN
ap-4934	53	12	on	on	ADP
ap-4934	53	13	ith	ith	ADJ
ap-4934	53	14	technological	technological	ADJ
ap-4934	53	15	element	element	NOUN
ap-4934	53	16	is	be	AUX
ap-4934	53	17	:	:	PUNCT
ap-4934	53	18	vmid(i	vmid(i	NOUN
ap-4934	53	19	)	)	PUNCT
ap-4934	53	20	=	=	SYM
ap-4934	53	21	v	v	ADP
ap-4934	53	22	′i	′i	NOUN
ap-4934	53	23	+	+	CCONJ
ap-4934	53	24	vi−1	vi−1	PROPN
ap-4934	53	25	2	2	NUM
ap-4934	53	26	,	,	PUNCT
ap-4934	53	27	(	(	PUNCT
ap-4934	53	28	6	6	NUM
ap-4934	53	29	)	)	PUNCT
ap-4934	53	30	where	where	SCONJ
ap-4934	53	31	v	v	ADP
ap-4934	53	32	′i	′i	NOUN
ap-4934	53	33	–	–	PUNCT
ap-4934	53	34	the	the	DET
ap-4934	53	35	speed	speed	NOUN
ap-4934	53	36	of	of	ADP
ap-4934	53	37	a	a	DET
ap-4934	53	38	heavy	heavy	ADJ
ap-4934	53	39	car	car	NOUN
ap-4934	53	40	at	at	ADP
ap-4934	53	41	the	the	DET
ap-4934	53	42	end	end	NOUN
ap-4934	53	43	of	of	ADP
ap-4934	53	44	ith	ith	PROPN
ap-4934	53	45	element	element	NOUN
ap-4934	53	46	in	in	ADP
ap-4934	53	47	a	a	DET
ap-4934	53	48	first	first	ADJ
ap-4934	53	49	approximation	approximation	NOUN
ap-4934	53	50	(	(	PUNCT
ap-4934	53	51	calculation	calculation	NOUN
ap-4934	53	52	of	of	ADP
ap-4934	53	53	v	v	NOUN
ap-4934	53	54	′i	′i	PROPN
ap-4934	53	55	considers	consider	VERB
ap-4934	53	56	only	only	ADV
ap-4934	53	57	those	those	DET
ap-4934	53	58	specific	specific	ADJ
ap-4934	53	59	resistances	resistance	NOUN
ap-4934	53	60	,	,	PUNCT
ap-4934	53	61	which	which	PRON
ap-4934	53	62	do	do	AUX
ap-4934	53	63	not	not	PART
ap-4934	53	64	depend	depend	VERB
ap-4934	53	65	on	on	ADP
ap-4934	53	66	the	the	DET
ap-4934	53	67	average	average	ADJ
ap-4934	53	68	rolling	rolling	ADJ
ap-4934	53	69	speed	speed	NOUN
ap-4934	53	70	on	on	ADP
ap-4934	53	71	a	a	DET
ap-4934	53	72	technological	technological	ADJ
ap-4934	53	73	element	element	NOUN
ap-4934	53	74	:	:	PUNCT
ap-4934	53	75	basic	basic	ADJ
ap-4934	53	76	(	(	PUNCT
ap-4934	53	77	w0(i	w0(i	NOUN
ap-4934	53	78	)	)	PUNCT
ap-4934	53	79	)	)	PUNCT
ap-4934	53	80	,	,	PUNCT
ap-4934	53	81	on	on	ADP
ap-4934	53	82	snow	snow	NOUN
ap-4934	53	83	and	and	CCONJ
ap-4934	53	84	frost	frost	NOUN
ap-4934	53	85	(	(	PUNCT
ap-4934	53	86	wsn(i	wsn(i	NOUN
ap-4934	53	87	)	)	PUNCT
ap-4934	53	88	)	)	PUNCT
ap-4934	53	89	and	and	CCONJ
ap-4934	53	90	on	on	ADP
ap-4934	53	91	braking	braking	NOUN
ap-4934	53	92	(	(	PUNCT
ap-4934	53	93	wb(i	wb(i	NOUN
ap-4934	53	94	)	)	PUNCT
ap-4934	53	95	)	)	PUNCT
ap-4934	53	96	)	)	PUNCT
ap-4934	53	97	,	,	PUNCT
ap-4934	53	98	m	m	PROPN
ap-4934	53	99	/	/	SYM
ap-4934	53	100	s	s	PART
ap-4934	53	101	:	:	PUNCT
ap-4934	53	102	v	v	NOUN
ap-4934	53	103	′i	′i	NOUN
ap-4934	53	104	=	=	PUNCT
ap-4934	53	105	√	√	NUM
ap-4934	53	106	v	v	ADP
ap-4934	53	107	2	2	NUM
ap-4934	53	108	i−1	i−1	PROPN
ap-4934	53	109	+	+	CCONJ
ap-4934	53	110	2	2	NUM
ap-4934	53	111	·	·	PUNCT
ap-4934	53	112	g′li(ii	g′li(ii	PRON
ap-4934	53	113	−	−	PUNCT
ap-4934	54	1	w0(i	w0(i	PRON
ap-4934	54	2	)	)	PUNCT
ap-4934	54	3	−	−	ADP
ap-4934	54	4	wsn(i	wsn(i	NOUN
ap-4934	54	5	)	)	PUNCT
ap-4934	54	6	−	−	NOUN
ap-4934	54	7	wb(i	wb(i	NOUN
ap-4934	54	8	)	)	PUNCT
ap-4934	54	9	)	)	PUNCT
ap-4934	54	10	·	·	PUNCT
ap-4934	55	1	10−3	10−3	NUM
ap-4934	55	2	,	,	PUNCT
ap-4934	55	3	(	(	PUNCT
ap-4934	55	4	7	7	X
ap-4934	55	5	)	)	PUNCT
ap-4934	55	6	where	where	SCONJ
ap-4934	55	7	li	li	PROPN
ap-4934	55	8	,	,	PUNCT
ap-4934	55	9	ii	ii	PROPN
ap-4934	55	10	–	–	PUNCT
ap-4934	55	11	the	the	DET
ap-4934	55	12	length	length	NOUN
ap-4934	55	13	and	and	CCONJ
ap-4934	55	14	slope	slope	NOUN
ap-4934	55	15	of	of	ADP
ap-4934	55	16	ith	ith	ADJ
ap-4934	55	17	technological	technological	ADJ
ap-4934	55	18	element	element	NOUN
ap-4934	55	19	,	,	PUNCT
ap-4934	55	20	respectively	respectively	ADV
ap-4934	55	21	.	.	PUNCT
ap-4934	56	1	since	since	SCONJ
ap-4934	56	2	the	the	DET
ap-4934	56	3	hyrp	hyrp	NOUN
ap-4934	56	4	is	be	AUX
ap-4934	56	5	defined	define	VERB
ap-4934	56	6	under	under	ADP
ap-4934	56	7	favourable	favourable	ADJ
ap-4934	56	8	rolling	rolling	ADJ
ap-4934	56	9	conditions	condition	NOUN
ap-4934	56	10	,	,	PUNCT
ap-4934	56	11	wsn(i	wsn(i	PROPN
ap-4934	56	12	)	)	PUNCT
ap-4934	56	13	and	and	CCONJ
ap-4934	56	14	,	,	PUNCT
ap-4934	56	15	besides	besides	SCONJ
ap-4934	56	16	,	,	PUNCT
ap-4934	56	17	according	accord	VERB
ap-4934	56	18	to	to	ADP
ap-4934	56	19	[	[	X
ap-4934	56	20	1	1	NUM
ap-4934	56	21	]	]	PUNCT
ap-4934	56	22	wb(i	wb(i	NOUN
ap-4934	56	23	)	)	PUNCT
ap-4934	56	24	=	=	SYM
ap-4934	57	1	0	0	X
ap-4934	57	2	.	.	PUNCT
ap-4934	58	1	thus	thus	ADV
ap-4934	58	2	,	,	PUNCT
ap-4934	58	3	v	v	ADP
ap-4934	58	4	′i	′i	NOUN
ap-4934	58	5	=	=	PUNCT
ap-4934	58	6	√	√	NUM
ap-4934	58	7	v	v	ADP
ap-4934	58	8	2	2	NUM
ap-4934	58	9	i−1	i−1	PROPN
ap-4934	58	10	+	+	CCONJ
ap-4934	58	11	2	2	NUM
ap-4934	59	1	·	·	PUNCT
ap-4934	59	2	g′li(ii	g′li(ii	PRON
ap-4934	59	3	−	−	PUNCT
ap-4934	59	4	w0(i	w0(i	NOUN
ap-4934	59	5	)	)	PUNCT
ap-4934	59	6	)	)	PUNCT
ap-4934	59	7	·	·	PUNCT
ap-4934	60	1	10−3	10−3	NUM
ap-4934	60	2	,	,	PUNCT
ap-4934	60	3	(	(	PUNCT
ap-4934	60	4	8)	8)	NUM
ap-4934	60	5	where	where	SCONJ
ap-4934	60	6	vi−1	vi−1	PROPN
ap-4934	60	7	–	–	PUNCT
ap-4934	60	8	the	the	DET
ap-4934	60	9	heavy	heavy	ADJ
ap-4934	60	10	car	car	NOUN
ap-4934	60	11	speed	speed	NOUN
ap-4934	60	12	at	at	ADP
ap-4934	60	13	the	the	DET
ap-4934	60	14	end	end	NOUN
ap-4934	60	15	of	of	ADP
ap-4934	60	16	i−	i−	PROPN
ap-4934	60	17	1	1	NUM
ap-4934	60	18	element	element	NOUN
ap-4934	60	19	in	in	ADP
ap-4934	60	20	a	a	DET
ap-4934	60	21	second	second	ADJ
ap-4934	60	22	approximation	approximation	NOUN
ap-4934	60	23	(	(	PUNCT
ap-4934	60	24	with	with	ADP
ap-4934	60	25	consideration	consideration	NOUN
ap-4934	60	26	of	of	ADP
ap-4934	60	27	wrol(i−	wrol(i−	NOUN
ap-4934	60	28	1	1	NUM
ap-4934	60	29	)	)	PUNCT
ap-4934	60	30	and	and	CCONJ
ap-4934	60	31	wb(i−	wb(i−	NUM
ap-4934	60	32	1	1	NUM
ap-4934	60	33	)	)	PUNCT
ap-4934	60	34	)	)	PUNCT
ap-4934	60	35	.	.	PUNCT
ap-4934	61	1	the	the	DET
ap-4934	61	2	heavy	heavy	ADJ
ap-4934	61	3	car	car	NOUN
ap-4934	61	4	speed	speed	NOUN
ap-4934	61	5	at	at	ADP
ap-4934	61	6	the	the	DET
ap-4934	61	7	end	end	NOUN
ap-4934	61	8	of	of	ADP
ap-4934	61	9	mth	mth	NOUN
ap-4934	61	10	element	element	NOUN
ap-4934	61	11	:	:	PUNCT
ap-4934	61	12	vm	vm	X
ap-4934	61	13	=	=	PUNCT
ap-4934	61	14	(	(	PUNCT
ap-4934	61	15	v	v	NUM
ap-4934	61	16	2	2	NUM
ap-4934	61	17	0	0	NUM
ap-4934	61	18	+	+	CCONJ
ap-4934	61	19	2	2	NUM
ap-4934	61	20	·	·	PUNCT
ap-4934	61	21	g′l1(i1	g′l1(i1	NOUN
ap-4934	61	22	−	−	PROPN
ap-4934	61	23	w0	w0	PROPN
ap-4934	61	24	−	−	PROPN
ap-4934	61	25	wrol(1	wrol(1	PROPN
ap-4934	61	26	)	)	PUNCT
ap-4934	61	27	−	−	PROPN
ap-4934	61	28	wb(1	wb(1	NOUN
ap-4934	61	29	)	)	PUNCT
ap-4934	61	30	)	)	PUNCT
ap-4934	61	31	·	·	PUNCT
ap-4934	62	1	10−3	10−3	NUM
ap-4934	62	2	+	+	CCONJ
ap-4934	62	3	2	2	NUM
ap-4934	62	4	·	·	PUNCT
ap-4934	62	5	g′l2(i2	g′l2(i2	NOUN
ap-4934	62	6	−	−	PROPN
ap-4934	62	7	w0	w0	PROPN
ap-4934	62	8	−	−	PROPN
ap-4934	62	9	wrol(2	wrol(2	PROPN
ap-4934	62	10	)	)	PUNCT
ap-4934	62	11	−	−	PROPN
ap-4934	63	1	wb(2	wb(2	PROPN
ap-4934	63	2	)	)	PUNCT
ap-4934	63	3	)	)	PUNCT
ap-4934	63	4	·	·	PUNCT
ap-4934	64	1	10−3	10−3	NUM
ap-4934	64	2	+	+	NUM
ap-4934	64	3	·	·	PUNCT
ap-4934	64	4	·	·	PUNCT
ap-4934	64	5	·	·	PUNCT
ap-4934	64	6	+	+	SYM
ap-4934	64	7	2	2	NUM
ap-4934	64	8	·	·	SYM
ap-4934	64	9	g′lm(im	g′lm(im	NOUN
ap-4934	64	10	−	−	PROPN
ap-4934	64	11	w0	w0	PROPN
ap-4934	64	12	−	−	PROPN
ap-4934	64	13	wrol(m	wrol(m	PROPN
ap-4934	64	14	)	)	PUNCT
ap-4934	64	15	−	−	PROPN
ap-4934	64	16	wb(m	wb(m	NUM
ap-4934	64	17	)	)	PUNCT
ap-4934	64	18	)	)	PUNCT
ap-4934	64	19	·	·	PUNCT
ap-4934	65	1	10−3	10−3	NUM
ap-4934	65	2	)	)	PUNCT
ap-4934	65	3	1/2	1/2	NUM
ap-4934	65	4	=	=	NOUN
ap-4934	65	5	√	√	NUM
ap-4934	65	6	v	v	ADP
ap-4934	65	7	2	2	NUM
ap-4934	65	8	0	0	NUM
ap-4934	65	9	+	+	CCONJ
ap-4934	65	10	2	2	NUM
ap-4934	65	11	·	·	PUNCT
ap-4934	65	12	g′	g′	NOUN
ap-4934	65	13	∑m	∑m	PROPN
ap-4934	65	14	s=1	s=1	X
ap-4934	65	15	ls(is	ls(is	PROPN
ap-4934	65	16	−	−	PROPN
ap-4934	65	17	w0	w0	PROPN
ap-4934	65	18	−	−	PROPN
ap-4934	65	19	wrol(s	wrol(s	PROPN
ap-4934	65	20	)	)	PUNCT
ap-4934	65	21	−	−	NOUN
ap-4934	65	22	wb(s	wb(	NOUN
ap-4934	65	23	)	)	PUNCT
ap-4934	65	24	)	)	PUNCT
ap-4934	65	25	·	·	PUNCT
ap-4934	66	1	10−3	10−3	NUM
ap-4934	66	2	.	.	PUNCT
ap-4934	67	1	(	(	PUNCT
ap-4934	67	2	9	9	NUM
ap-4934	67	3	)	)	PUNCT
ap-4934	67	4	therefore	therefore	ADV
ap-4934	67	5	,	,	PUNCT
ap-4934	67	6	the	the	DET
ap-4934	67	7	heavy	heavy	ADJ
ap-4934	67	8	car	car	NOUN
ap-4934	67	9	speed	speed	NOUN
ap-4934	67	10	at	at	ADP
ap-4934	67	11	the	the	DET
ap-4934	67	12	origin	origin	NOUN
ap-4934	67	13	of	of	ADP
ap-4934	67	14	(	(	PUNCT
ap-4934	67	15	i−	i−	PROPN
ap-4934	67	16	1)th	1)th	PROPN
ap-4934	67	17	element	element	NOUN
ap-4934	67	18	is	be	AUX
ap-4934	67	19	:	:	PUNCT
ap-4934	67	20	vi−1	vi−1	PROPN
ap-4934	67	21	=	=	PUNCT
ap-4934	67	22	√	√	NUM
ap-4934	67	23	v	v	NUM
ap-4934	67	24	2	2	NUM
ap-4934	67	25	0	0	NUM
ap-4934	67	26	+	+	CCONJ
ap-4934	67	27	2	2	NUM
ap-4934	67	28	·	·	PUNCT
ap-4934	67	29	g′	g′	NOUN
ap-4934	67	30	∑i−1	∑i−1	PUNCT
ap-4934	68	1	s=1	s=1	X
ap-4934	68	2	ls(is	ls(is	PROPN
ap-4934	68	3	−	−	PROPN
ap-4934	68	4	w0	w0	PROPN
ap-4934	68	5	−	−	PROPN
ap-4934	68	6	wrol(s	wrol(s	PROPN
ap-4934	68	7	)	)	PUNCT
ap-4934	68	8	−	−	NOUN
ap-4934	68	9	wb(s	wb(	NOUN
ap-4934	68	10	)	)	PUNCT
ap-4934	68	11	)	)	PUNCT
ap-4934	68	12	·	·	PUNCT
ap-4934	69	1	10−3	10−3	NUM
ap-4934	69	2	.	.	PUNCT
ap-4934	70	1	(	(	PUNCT
ap-4934	70	2	10	10	NUM
ap-4934	70	3	)	)	PUNCT
ap-4934	70	4	372	372	NUM
ap-4934	70	5	vol	vol	NOUN
ap-4934	70	6	.	.	PUNCT
ap-4934	71	1	58	58	NUM
ap-4934	71	2	no	no	INTJ
ap-4934	71	3	.	.	PUNCT
ap-4934	72	1	6/2018	6/2018	NUM
ap-4934	72	2	example	example	NOUN
ap-4934	72	3	of	of	ADP
ap-4934	72	4	an	an	DET
ap-4934	72	5	article	article	NOUN
ap-4934	72	6	with	with	ADP
ap-4934	72	7	xa	xa	PROPN
ap-4934	72	8	long	long	ADJ
ap-4934	72	9	title	title	NOUN
ap-4934	72	10	according	accord	VERB
ap-4934	72	11	to	to	ADP
ap-4934	72	12	[	[	X
ap-4934	72	13	1	1	NUM
ap-4934	72	14	]	]	PUNCT
ap-4934	72	15	,	,	PUNCT
ap-4934	72	16	the	the	DET
ap-4934	72	17	actual	actual	ADJ
ap-4934	72	18	average	average	ADJ
ap-4934	72	19	rolling	rolling	ADJ
ap-4934	72	20	speed	speed	NOUN
ap-4934	72	21	of	of	ADP
ap-4934	72	22	a	a	DET
ap-4934	72	23	heavy	heavy	ADJ
ap-4934	72	24	car	car	NOUN
ap-4934	72	25	on	on	ADP
ap-4934	72	26	the	the	DET
ap-4934	72	27	technological	technological	ADJ
ap-4934	72	28	element	element	NOUN
ap-4934	72	29	is	be	AUX
ap-4934	72	30	:	:	PUNCT
ap-4934	72	31	v	v	ADP
ap-4934	72	32	a	a	DET
ap-4934	72	33	mid	mid	ADJ
ap-4934	72	34	=	=	NOUN
ap-4934	72	35	vst	vst	NOUN
ap-4934	73	1	+	+	CCONJ
ap-4934	73	2	∑z	∑z	PROPN
ap-4934	73	3	i=1	i=1	PROPN
ap-4934	73	4	√	√	NUM
ap-4934	73	5	v	v	ADP
ap-4934	73	6	2	2	NUM
ap-4934	73	7	st	st	NOUN
ap-4934	73	8	+	+	CCONJ
ap-4934	73	9	2g′li(ii	2g′li(ii	NUM
ap-4934	73	10	−	−	PROPN
ap-4934	73	11	w0)/(1000z	w0)/(1000z	NOUN
ap-4934	73	12	)	)	PUNCT
ap-4934	73	13	z	z	NOUN
ap-4934	74	1	+	+	CCONJ
ap-4934	74	2	1	1	NUM
ap-4934	74	3	,	,	PUNCT
ap-4934	74	4	(	(	PUNCT
ap-4934	74	5	11	11	NUM
ap-4934	74	6	)	)	PUNCT
ap-4934	74	7	where	where	SCONJ
ap-4934	74	8	z	z	NOUN
ap-4934	74	9	–	–	PUNCT
ap-4934	74	10	the	the	DET
ap-4934	74	11	number	number	NOUN
ap-4934	74	12	of	of	ADP
ap-4934	74	13	elemental	elemental	ADJ
ap-4934	74	14	sections	section	NOUN
ap-4934	74	15	as	as	ADP
ap-4934	74	16	components	component	NOUN
ap-4934	74	17	of	of	ADP
ap-4934	74	18	the	the	DET
ap-4934	74	19	technological	technological	ADJ
ap-4934	74	20	element	element	NOUN
ap-4934	74	21	(	(	PUNCT
ap-4934	74	22	for	for	ADP
ap-4934	74	23	calculation	calculation	NOUN
ap-4934	74	24	of	of	ADP
ap-4934	74	25	v	v	NOUN
ap-4934	74	26	a	a	DET
ap-4934	74	27	mid	mid	NOUN
ap-4934	74	28	,	,	PUNCT
ap-4934	74	29	the	the	DET
ap-4934	74	30	elemental	elemental	ADJ
ap-4934	74	31	section	section	NOUN
ap-4934	74	32	length	length	NOUN
ap-4934	74	33	is	be	AUX
ap-4934	74	34	taken	take	VERB
ap-4934	74	35	0.5	0.5	NUM
ap-4934	74	36	m	m	NOUN
ap-4934	74	37	,	,	PUNCT
ap-4934	74	38	i.e.	i.e.	X
ap-4934	74	39	l	l	X
ap-4934	74	40	/	/	SYM
ap-4934	74	41	z	z	NOUN
ap-4934	74	42	=	=	NUM
ap-4934	74	43	0.5	0.5	NUM
ap-4934	74	44	)	)	PUNCT
ap-4934	74	45	.	.	PUNCT
ap-4934	75	1	according	accord	VERB
ap-4934	75	2	to	to	ADP
ap-4934	75	3	[	[	X
ap-4934	75	4	1	1	NUM
ap-4934	75	5	]	]	PUNCT
ap-4934	75	6	,	,	PUNCT
ap-4934	75	7	the	the	DET
ap-4934	75	8	authors	author	NOUN
ap-4934	75	9	propose	propose	VERB
ap-4934	75	10	to	to	PART
ap-4934	75	11	define	define	VERB
ap-4934	75	12	the	the	DET
ap-4934	75	13	average	average	ADJ
ap-4934	75	14	speed	speed	NOUN
ap-4934	75	15	on	on	ADP
ap-4934	75	16	a	a	DET
ap-4934	75	17	technological	technological	ADJ
ap-4934	75	18	element	element	NOUN
ap-4934	75	19	by	by	ADP
ap-4934	75	20	the	the	DET
ap-4934	75	21	formula	formula	NOUN
ap-4934	75	22	:	:	PUNCT
ap-4934	75	23	vmid(i	vmid(i	NOUN
ap-4934	75	24	)	)	PUNCT
ap-4934	75	25	=	=	SYM
ap-4934	75	26	kiv	kiv	NOUN
ap-4934	75	27	′	′	NUM
ap-4934	75	28	m(i	m(i	NOUN
ap-4934	75	29	)	)	PUNCT
ap-4934	75	30	,	,	PUNCT
ap-4934	75	31	(	(	PUNCT
ap-4934	75	32	12	12	NUM
ap-4934	75	33	)	)	PUNCT
ap-4934	75	34	where	where	SCONJ
ap-4934	75	35	v	v	NOUN
ap-4934	75	36	′m(i	′m(i	NOUN
ap-4934	75	37	)	)	PUNCT
ap-4934	75	38	–	–	PUNCT
ap-4934	75	39	the	the	DET
ap-4934	75	40	heavy	heavy	ADJ
ap-4934	75	41	car	car	NOUN
ap-4934	75	42	’s	’s	PART
ap-4934	75	43	speed	speed	NOUN
ap-4934	75	44	in	in	ADP
ap-4934	75	45	a	a	DET
ap-4934	75	46	first	first	ADJ
ap-4934	75	47	approximation	approximation	NOUN
ap-4934	75	48	in	in	ADP
ap-4934	75	49	the	the	DET
ap-4934	75	50	middle	middle	NOUN
ap-4934	75	51	of	of	ADP
ap-4934	75	52	a	a	DET
ap-4934	75	53	technological	technological	ADJ
ap-4934	75	54	element	element	NOUN
ap-4934	75	55	:	:	PUNCT
ap-4934	75	56	vm(i	vm(i	NUM
ap-4934	75	57	)	)	PUNCT
ap-4934	75	58	=	=	SYM
ap-4934	76	1	√	√	NUM
ap-4934	76	2	v	v	NUM
ap-4934	76	3	2	2	NUM
ap-4934	77	1	i−1	i−1	PROPN
ap-4934	77	2	+	+	CCONJ
ap-4934	77	3	g′li(ii	g′li(ii	PRON
ap-4934	77	4	−	−	PROPN
ap-4934	77	5	wvrg	wvrg	NOUN
ap-4934	77	6	0	0	NUM
ap-4934	77	7	)	)	PUNCT
ap-4934	77	8	·	·	PUNCT
ap-4934	78	1	10−3	10−3	NUM
ap-4934	78	2	,	,	PUNCT
ap-4934	78	3	(	(	PUNCT
ap-4934	78	4	13	13	NUM
ap-4934	78	5	)	)	PUNCT
ap-4934	78	6	and	and	CCONJ
ap-4934	78	7	ki	ki	PROPN
ap-4934	78	8	–	–	PUNCT
ap-4934	78	9	the	the	DET
ap-4934	78	10	correction	correction	NOUN
ap-4934	78	11	index	index	NOUN
ap-4934	78	12	.	.	PUNCT
ap-4934	79	1	the	the	DET
ap-4934	79	2	authors	author	NOUN
ap-4934	79	3	propose	propose	VERB
ap-4934	79	4	to	to	PART
ap-4934	79	5	define	define	VERB
ap-4934	79	6	the	the	DET
ap-4934	79	7	correction	correction	NOUN
ap-4934	79	8	index	index	NOUN
ap-4934	79	9	on	on	ADP
ap-4934	79	10	the	the	DET
ap-4934	79	11	basis	basis	NOUN
ap-4934	79	12	of	of	ADP
ap-4934	79	13	the	the	DET
ap-4934	79	14	conditions	condition	NOUN
ap-4934	79	15	of	of	ADP
ap-4934	79	16	equality	equality	NOUN
ap-4934	79	17	of	of	ADP
ap-4934	79	18	errors	error	NOUN
ap-4934	79	19	in	in	ADP
ap-4934	79	20	calculation	calculation	NOUN
ap-4934	79	21	of	of	ADP
ap-4934	79	22	the	the	DET
ap-4934	79	23	average	average	ADJ
ap-4934	79	24	heavy	heavy	ADJ
ap-4934	79	25	car	car	NOUN
ap-4934	79	26	speed	speed	NOUN
ap-4934	79	27	on	on	ADP
ap-4934	79	28	technological	technological	ADJ
ap-4934	79	29	elements	element	NOUN
ap-4934	79	30	;	;	PUNCT
ap-4934	79	31	one	one	NUM
ap-4934	79	32	of	of	ADP
ap-4934	79	33	them	they	PRON
ap-4934	79	34	is	be	AUX
ap-4934	79	35	of	of	ADP
ap-4934	79	36	an	an	DET
ap-4934	79	37	infinitesimal	infinitesimal	ADJ
ap-4934	79	38	length	length	NOUN
ap-4934	79	39	,	,	PUNCT
ap-4934	79	40	thus	thus	ADV
ap-4934	79	41	,	,	PUNCT
ap-4934	79	42	vmid	vmid	NOUN
ap-4934	79	43	on	on	ADP
ap-4934	79	44	the	the	DET
ap-4934	79	45	element	element	NOUN
ap-4934	79	46	can	can	AUX
ap-4934	79	47	be	be	AUX
ap-4934	79	48	taken	take	VERB
ap-4934	79	49	as	as	ADP
ap-4934	79	50	vst	vst	NOUN
ap-4934	79	51	,	,	PUNCT
ap-4934	79	52	the	the	DET
ap-4934	79	53	second	second	ADJ
ap-4934	79	54	–	–	PUNCT
ap-4934	79	55	as	as	ADP
ap-4934	79	56	a	a	DET
ap-4934	79	57	length	length	NOUN
ap-4934	79	58	of	of	ADP
ap-4934	79	59	30	30	NUM
ap-4934	79	60	m	m	NOUN
ap-4934	79	61	and	and	CCONJ
ap-4934	79	62	located	locate	VERB
ap-4934	79	63	on	on	ADP
ap-4934	79	64	a	a	DET
ap-4934	79	65	slope	slope	NOUN
ap-4934	79	66	of	of	ADP
ap-4934	79	67	50%0	50%0	NUM
ap-4934	79	68	,	,	PUNCT
ap-4934	79	69	thus	thus	ADV
ap-4934	79	70	:	:	PUNCT
ap-4934	79	71	vst	vst	VERB
ap-4934	79	72	−	−	PROPN
ap-4934	79	73	kv	kv	PROPN
ap-4934	79	74	′st	′st	NOUN
ap-4934	79	75	=	=	SYM
ap-4934	79	76	kv	kv	PROPN
ap-4934	79	77	′m	′m	PROPN
ap-4934	79	78	−	−	PROPN
ap-4934	79	79	v	v	ADP
ap-4934	79	80	a	a	DET
ap-4934	79	81	mid	mid	NOUN
ap-4934	79	82	.	.	PROPN
ap-4934	80	1	(	(	PUNCT
ap-4934	80	2	14	14	NUM
ap-4934	80	3	)	)	PUNCT
ap-4934	80	4	from	from	ADP
ap-4934	80	5	the	the	DET
ap-4934	80	6	equation	equation	NOUN
ap-4934	80	7	obtained	obtain	VERB
ap-4934	80	8	:	:	PUNCT
ap-4934	80	9	k	k	X
ap-4934	80	10	=	=	PRON
ap-4934	80	11	vst	vst	NOUN
ap-4934	81	1	+	+	X
ap-4934	81	2	v	v	ADP
ap-4934	81	3	a	a	DET
ap-4934	81	4	mid	mid	ADJ
ap-4934	81	5	vst	vst	NOUN
ap-4934	81	6	+	+	X
ap-4934	81	7	v	v	NUM
ap-4934	81	8	′m	′m	PROPN
ap-4934	81	9	.	.	PUNCT
ap-4934	82	1	(	(	PUNCT
ap-4934	82	2	15	15	NUM
ap-4934	82	3	)	)	PUNCT
ap-4934	82	4	the	the	DET
ap-4934	82	5	research	research	NOUN
ap-4934	82	6	made	make	VERB
ap-4934	82	7	by	by	ADP
ap-4934	82	8	the	the	DET
ap-4934	82	9	authors	author	NOUN
ap-4934	82	10	on	on	ADP
ap-4934	82	11	the	the	DET
ap-4934	82	12	basis	basis	NOUN
ap-4934	82	13	of	of	ADP
ap-4934	82	14	calculations	calculation	NOUN
ap-4934	82	15	of	of	ADP
ap-4934	82	16	the	the	DET
ap-4934	82	17	correction	correction	NOUN
ap-4934	82	18	index	index	NOUN
ap-4934	82	19	at	at	ADP
ap-4934	82	20	various	various	ADJ
ap-4934	82	21	vst	vst	NOUN
ap-4934	82	22	showed	show	VERB
ap-4934	82	23	that	that	SCONJ
ap-4934	82	24	it	it	PRON
ap-4934	82	25	can	can	AUX
ap-4934	82	26	be	be	AUX
ap-4934	82	27	set	set	VERB
ap-4934	82	28	as	as	ADP
ap-4934	82	29	an	an	DET
ap-4934	82	30	exponential	exponential	ADJ
ap-4934	82	31	function	function	NOUN
ap-4934	82	32	:	:	PUNCT
ap-4934	82	33	k	k	X
ap-4934	82	34	=	=	SYM
ap-4934	82	35	−0.0576191	−0.0576191	PROPN
ap-4934	82	36	·	·	PUNCT
ap-4934	82	37	e−0.5710201·vst	e−0.5710201·vst	PROPN
ap-4934	82	38	+	+	X
ap-4934	82	39	0.9966873	0.9966873	NUM
ap-4934	82	40	.	.	PUNCT
ap-4934	83	1	(	(	PUNCT
ap-4934	83	2	16	16	NUM
ap-4934	83	3	)	)	PUNCT
ap-4934	83	4	thus	thus	ADV
ap-4934	83	5	,	,	PUNCT
ap-4934	83	6	hyrp	hyrp	NOUN
ap-4934	83	7	=	=	PUNCT
ap-4934	83	8	a	a	PRON
ap-4934	83	9	(	(	PUNCT
ap-4934	83	10	m∑	m∑	INTJ
ap-4934	83	11	i=1	i=1	PROPN
ap-4934	83	12	(	(	PUNCT
ap-4934	83	13	liii	liii	PROPN
ap-4934	83	14	)	)	PUNCT
ap-4934	83	15	·	·	PUNCT
ap-4934	84	1	10−3	10−3	NUM
ap-4934	85	1	+	+	SYM
ap-4934	85	2	b	b	NOUN
ap-4934	85	3	+	+	PUNCT
ap-4934	85	4	m∑	m∑	ADV
ap-4934	85	5	i−1	i−1	PROPN
ap-4934	85	6	cik	cik	PROPN
ap-4934	85	7	2	2	NUM
ap-4934	86	1	i	i	PRON
ap-4934	86	2	v	v	NOUN
ap-4934	86	3	2	2	NUM
ap-4934	86	4	i−1	i−1	PROPN
ap-4934	86	5	g	g	NOUN
ap-4934	86	6	′li(ii	′li(ii	PUNCT
ap-4934	86	7	−	−	PROPN
ap-4934	86	8	wvgc	wvgc	NOUN
ap-4934	86	9	0	0	NUM
ap-4934	86	10	)	)	PUNCT
ap-4934	86	11	·	·	PUNCT
ap-4934	86	12	10−3	10−3	NUM
ap-4934	86	13	)	)	PUNCT
ap-4934	86	14	→	→	SYM
ap-4934	86	15	hyrp(min	hyrp(min	NOUN
ap-4934	86	16	)	)	PUNCT
ap-4934	86	17	,	,	PUNCT
ap-4934	86	18	(	(	PUNCT
ap-4934	86	19	17	17	NUM
ap-4934	86	20	)	)	PUNCT
ap-4934	87	1	where	where	SCONJ
ap-4934	87	2	v	v	NOUN
ap-4934	87	3	2	2	NUM
ap-4934	87	4	i−1	i−1	PROPN
ap-4934	87	5	=	=	PUNCT
ap-4934	87	6	v	v	ADP
ap-4934	87	7	2	2	NUM
ap-4934	87	8	0	0	NUM
ap-4934	87	9	+	+	NUM
ap-4934	87	10	2g′vgc	2g′vgc	NUM
ap-4934	87	11	i−1∑	i−1∑	NUM
ap-4934	87	12	s=1	s=1	X
ap-4934	87	13	(	(	PUNCT
ap-4934	87	14	ls(is	ls(is	PROPN
ap-4934	87	15	−	−	PROPN
ap-4934	87	16	wvgc	wvgc	NOUN
ap-4934	87	17	0	0	NUM
ap-4934	87	18	)	)	PUNCT
ap-4934	87	19	·	·	PUNCT
ap-4934	87	20	10−3	10−3	NUM
ap-4934	87	21	−	−	NOUN
ap-4934	87	22	(	(	PUNCT
ap-4934	87	23	0.56	0.56	NUM
ap-4934	87	24	·	·	PUNCT
ap-4934	87	25	nswitch(s	nswitch(s	X
ap-4934	87	26	)	)	PUNCT
ap-4934	88	1	+	+	NUM
ap-4934	88	2	0.23	0.23	NUM
ap-4934	88	3	∑	∑	PUNCT
ap-4934	88	4	as	as	ADP
ap-4934	88	5	)	)	PUNCT
ap-4934	88	6	k2	k2	PROPN
ap-4934	88	7	s(v	s(v	PROPN
ap-4934	88	8	2	2	NUM
ap-4934	88	9	s−1	s−1	PROPN
ap-4934	88	10	+	+	CCONJ
ap-4934	88	11	g′lg(ig	g′lg(ig	ADJ
ap-4934	88	12	−	−	NOUN
ap-4934	88	13	wvgc	wvgc	NOUN
ap-4934	88	14	0	0	NUM
ap-4934	88	15	)	)	PUNCT
ap-4934	88	16	·	·	PUNCT
ap-4934	89	1	10−3	10−3	NUM
ap-4934	89	2	−	−	PROPN
ap-4934	89	3	1000	1000	NUM
ap-4934	89	4	·	·	PUNCT
ap-4934	89	5	hb(s	hb(	NOUN
ap-4934	89	6	)	)	PUNCT
ap-4934	89	7	)	)	PUNCT
ap-4934	89	8	.	.	PUNCT
ap-4934	90	1	(	(	PUNCT
ap-4934	90	2	18	18	NUM
ap-4934	90	3	)	)	PUNCT
ap-4934	90	4	let	let	VERB
ap-4934	90	5	:	:	PUNCT
ap-4934	90	6	cik	cik	PROPN
ap-4934	90	7	2	2	NUM
ap-4934	90	8	i	i	PROPN
ap-4934	90	9	=	=	PROPN
ap-4934	90	10	di	di	PROPN
ap-4934	90	11	,	,	PUNCT
ap-4934	90	12	v	v	NOUN
ap-4934	90	13	2	2	NUM
ap-4934	90	14	i−1	i−1	PROPN
ap-4934	90	15	−	−	PROPN
ap-4934	90	16	g′liwo	g′liwo	NOUN
ap-4934	90	17	·	·	PUNCT
ap-4934	90	18	10−3	10−3	NUM
ap-4934	90	19	=	=	SYM
ap-4934	90	20	ei	ei	PROPN
ap-4934	90	21	,	,	PUNCT
ap-4934	90	22	g′li	g′li	ADJ
ap-4934	90	23	·	·	PUNCT
ap-4934	90	24	10−3	10−3	NUM
ap-4934	90	25	=	=	SYM
ap-4934	90	26	fi	fi	NOUN
ap-4934	90	27	,	,	PUNCT
ap-4934	90	28	li	li	PROPN
ap-4934	90	29	·	·	SYM
ap-4934	90	30	10−3	10−3	NUM
ap-4934	90	31	=	=	SYM
ap-4934	90	32	gi	gi	NOUN
ap-4934	90	33	.	.	PUNCT
ap-4934	91	1	(	(	PUNCT
ap-4934	91	2	19	19	NUM
ap-4934	91	3	)	)	PUNCT
ap-4934	91	4	then	then	ADV
ap-4934	91	5	:	:	PUNCT
ap-4934	91	6	hyrp	hyrp	NOUN
ap-4934	91	7	=	=	PUNCT
ap-4934	91	8	a	a	PRON
ap-4934	91	9	(	(	PUNCT
ap-4934	91	10	m∑	m∑	INTJ
ap-4934	91	11	i−1	i−1	PROPN
ap-4934	91	12	giii	giii	VERB
ap-4934	91	13	+	+	NOUN
ap-4934	91	14	b	b	NOUN
ap-4934	92	1	+	+	X
ap-4934	92	2	m∑	m∑	NOUN
ap-4934	92	3	i=1	i=1	PROPN
ap-4934	93	1	di(ei	di(ei	PROPN
ap-4934	93	2	+	+	NUM
ap-4934	93	3	fiii	fiii	NOUN
ap-4934	93	4	)	)	PUNCT
ap-4934	93	5	)	)	PUNCT
ap-4934	94	1	→	→	SYM
ap-4934	94	2	hyrp(min	hyrp(min	NOUN
ap-4934	94	3	)	)	PUNCT
ap-4934	94	4	,	,	PUNCT
ap-4934	94	5	(	(	PUNCT
ap-4934	94	6	20	20	NUM
ap-4934	94	7	)	)	PUNCT
ap-4934	94	8	or	or	CCONJ
ap-4934	94	9	hyrp	hyrp	NOUN
ap-4934	94	10	=	=	PUNCT
ap-4934	95	1	a	a	DET
ap-4934	95	2	(	(	PUNCT
ap-4934	95	3	b	b	NOUN
ap-4934	95	4	+	+	CCONJ
ap-4934	95	5	(	(	PUNCT
ap-4934	95	6	(	(	PUNCT
ap-4934	95	7	g1i1	g1i1	NOUN
ap-4934	95	8	)	)	PUNCT
ap-4934	95	9	+	+	NOUN
ap-4934	95	10	d1(e1	d1(e1	NOUN
ap-4934	95	11	+	+	CCONJ
ap-4934	95	12	f1i1	f1i1	NOUN
ap-4934	95	13	)	)	PUNCT
ap-4934	95	14	)	)	PUNCT
ap-4934	96	1	+	+	CCONJ
ap-4934	96	2	(	(	PUNCT
ap-4934	96	3	(	(	PUNCT
ap-4934	96	4	g2i2	g2i2	X
ap-4934	96	5	)	)	PUNCT
ap-4934	96	6	+	+	NOUN
ap-4934	96	7	d2(e2	d2(e2	NOUN
ap-4934	96	8	+	+	CCONJ
ap-4934	96	9	f2i2	f2i2	X
ap-4934	96	10	)	)	PUNCT
ap-4934	96	11	)	)	PUNCT
ap-4934	97	1	+	+	CCONJ
ap-4934	97	2	·	·	PUNCT
ap-4934	97	3	·	·	PUNCT
ap-4934	97	4	·	·	PUNCT
ap-4934	97	5	+	+	CCONJ
ap-4934	97	6	(	(	PUNCT
ap-4934	97	7	(	(	PUNCT
ap-4934	97	8	gmim	gmim	NOUN
ap-4934	97	9	)	)	PUNCT
ap-4934	97	10	+	+	ADJ
ap-4934	97	11	dm(em	dm(em	ADJ
ap-4934	97	12	+	+	CCONJ
ap-4934	97	13	fmim	fmim	NOUN
ap-4934	97	14	)	)	PUNCT
ap-4934	97	15	)	)	PUNCT
ap-4934	97	16	)	)	PUNCT
ap-4934	98	1	→	→	SYM
ap-4934	98	2	hyrp(min	hyrp(min	NOUN
ap-4934	98	3	)	)	PUNCT
ap-4934	98	4	.	.	PUNCT
ap-4934	99	1	(	(	PUNCT
ap-4934	99	2	21	21	NUM
ap-4934	99	3	)	)	PUNCT
ap-4934	99	4	as	as	ADV
ap-4934	99	5	far	far	ADV
ap-4934	99	6	as	as	SCONJ
ap-4934	99	7	each	each	DET
ap-4934	99	8	profile	profile	NOUN
ap-4934	99	9	element	element	NOUN
ap-4934	99	10	consists	consist	VERB
ap-4934	99	11	of	of	ADP
ap-4934	99	12	the	the	DET
ap-4934	99	13	several	several	ADJ
ap-4934	99	14	technological	technological	ADJ
ap-4934	99	15	elements	element	NOUN
ap-4934	99	16	,	,	PUNCT
ap-4934	99	17	let	let	VERB
ap-4934	99	18	us	we	PRON
ap-4934	99	19	specify	specify	VERB
ap-4934	99	20	:	:	PUNCT
ap-4934	99	21	i1	i1	PROPN
ap-4934	99	22	=	=	SYM
ap-4934	99	23	ii	ii	PROPN
ap-4934	99	24	,	,	PUNCT
ap-4934	99	25	where	where	SCONJ
ap-4934	99	26	i	i	PRON
ap-4934	99	27	=	=	NOUN
ap-4934	99	28	1	1	NUM
ap-4934	99	29	,	,	PUNCT
ap-4934	99	30	.	.	PUNCT
ap-4934	99	31	.	.	PUNCT
ap-4934	100	1	.	.	PUNCT
ap-4934	101	1	,	,	PUNCT
ap-4934	101	2	x1	x1	PROPN
ap-4934	101	3	,	,	PUNCT
ap-4934	101	4	i2	i2	PROPN
ap-4934	101	5	=	=	SYM
ap-4934	101	6	ii	ii	PROPN
ap-4934	101	7	,	,	PUNCT
ap-4934	101	8	where	where	SCONJ
ap-4934	101	9	i	i	PRON
ap-4934	101	10	=	=	PUNCT
ap-4934	101	11	x	x	PUNCT
ap-4934	102	1	+	+	NUM
ap-4934	102	2	1	1	NUM
ap-4934	102	3	,	,	PUNCT
ap-4934	102	4	.	.	PUNCT
ap-4934	102	5	.	.	PUNCT
ap-4934	103	1	.	.	PUNCT
ap-4934	104	1	,	,	PUNCT
ap-4934	104	2	x2	x2	INTJ
ap-4934	104	3	,	,	PUNCT
ap-4934	104	4	in	in	ADP
ap-4934	104	5	=	=	PROPN
ap-4934	104	6	ii	ii	PROPN
ap-4934	104	7	,	,	PUNCT
ap-4934	104	8	where	where	SCONJ
ap-4934	104	9	i	i	PRON
ap-4934	104	10	=	=	PUNCT
ap-4934	104	11	xn−1	xn−1	PROPN
ap-4934	105	1	+	+	CCONJ
ap-4934	105	2	1	1	NUM
ap-4934	105	3	,	,	PUNCT
ap-4934	105	4	.	.	PUNCT
ap-4934	105	5	.	.	PUNCT
ap-4934	106	1	.	.	PUNCT
ap-4934	107	1	,	,	PUNCT
ap-4934	107	2	xn	xn	X
ap-4934	107	3	.	.	PUNCT
ap-4934	108	1	(	(	PUNCT
ap-4934	108	2	22	22	NUM
ap-4934	108	3	)	)	PUNCT
ap-4934	108	4	where	where	SCONJ
ap-4934	108	5	n	n	X
ap-4934	108	6	–	–	PUNCT
ap-4934	108	7	the	the	DET
ap-4934	108	8	number	number	NOUN
ap-4934	108	9	of	of	ADP
ap-4934	108	10	profile	profile	ADJ
ap-4934	108	11	elements	element	NOUN
ap-4934	108	12	of	of	ADP
ap-4934	108	13	the	the	DET
ap-4934	108	14	descent	descent	NOUN
ap-4934	108	15	part	part	NOUN
ap-4934	108	16	of	of	ADP
ap-4934	108	17	a	a	DET
ap-4934	108	18	hump	hump	NOUN
ap-4934	108	19	,	,	PUNCT
ap-4934	108	20	and	and	CCONJ
ap-4934	108	21	xi	xi	CCONJ
ap-4934	108	22	,	,	PUNCT
ap-4934	108	23	i	i	PRON
ap-4934	108	24	=	=	NOUN
ap-4934	108	25	1	1	NUM
ap-4934	108	26	,	,	PUNCT
ap-4934	108	27	2	2	NUM
ap-4934	108	28	,	,	PUNCT
ap-4934	108	29	.	.	PUNCT
ap-4934	108	30	.	.	PUNCT
ap-4934	109	1	.	.	PUNCT
ap-4934	110	1	,	,	PUNCT
ap-4934	110	2	n	n	X
ap-4934	110	3	–	–	PUNCT
ap-4934	110	4	the	the	DET
ap-4934	110	5	number	number	NOUN
ap-4934	110	6	of	of	ADP
ap-4934	110	7	the	the	DET
ap-4934	110	8	last	last	ADJ
ap-4934	110	9	technological	technological	ADJ
ap-4934	110	10	element	element	NOUN
ap-4934	110	11	of	of	ADP
ap-4934	110	12	the	the	DET
ap-4934	110	13	ith	ith	PROPN
ap-4934	110	14	profile	profile	PROPN
ap-4934	110	15	element	element	NOUN
ap-4934	110	16	373	373	NUM
ap-4934	110	17	s.	s.	PROPN
ap-4934	110	18	panchenko	panchenko	PROPN
ap-4934	110	19	,	,	PUNCT
ap-4934	110	20	o.	o.	PROPN
ap-4934	110	21	ohar	ohar	PROPN
ap-4934	110	22	,	,	PUNCT
ap-4934	110	23	m.	m.	PROPN
ap-4934	110	24	kutsenko	kutsenko	PROPN
ap-4934	110	25	,	,	PUNCT
ap-4934	110	26	j.	j.	PROPN
ap-4934	110	27	smachilo	smachilo	PROPN
ap-4934	110	28	acta	acta	PROPN
ap-4934	110	29	polytechnica	polytechnica	PROPN
ap-4934	110	30	and	and	CCONJ
ap-4934	110	31	,	,	PUNCT
ap-4934	110	32	eventually	eventually	ADV
ap-4934	110	33	,	,	PUNCT
ap-4934	110	34	the	the	DET
ap-4934	110	35	objective	objective	ADJ
ap-4934	110	36	function	function	NOUN
ap-4934	110	37	takes	take	VERB
ap-4934	110	38	the	the	DET
ap-4934	110	39	form	form	NOUN
ap-4934	110	40	:	:	PUNCT
ap-4934	110	41	hyrp	hyrp	NOUN
ap-4934	110	42	=	=	PUNCT
ap-4934	110	43	a	a	PROPN
ap-4934	110	44	(	(	PUNCT
ap-4934	110	45	b	b	NOUN
ap-4934	110	46	+	+	NUM
ap-4934	110	47	x1∑	x1∑	PROPN
ap-4934	110	48	i=1	i=1	PROPN
ap-4934	111	1	(	(	PUNCT
ap-4934	111	2	gii1	gii1	PROPN
ap-4934	111	3	+	+	PROPN
ap-4934	111	4	di(ei	di(ei	PROPN
ap-4934	111	5	+	+	NUM
ap-4934	111	6	fii1	fii1	NOUN
ap-4934	111	7	)	)	PUNCT
ap-4934	111	8	)	)	PUNCT
ap-4934	112	1	+	+	CCONJ
ap-4934	113	1	x2∑	x2∑	PROPN
ap-4934	113	2	i	i	PRON
ap-4934	113	3	=	=	PROPN
ap-4934	113	4	x1	x1	PROPN
ap-4934	113	5	+	+	PROPN
ap-4934	113	6	1	1	NUM
ap-4934	113	7	(	(	PUNCT
ap-4934	113	8	gii2	gii2	NOUN
ap-4934	113	9	+	+	PROPN
ap-4934	113	10	di(ei	di(ei	PROPN
ap-4934	113	11	+	+	X
ap-4934	113	12	fii2	fii2	NOUN
ap-4934	113	13	)	)	PUNCT
ap-4934	113	14	)	)	PUNCT
ap-4934	114	1	+	+	CCONJ
ap-4934	114	2	·	·	PUNCT
ap-4934	114	3	·	·	PUNCT
ap-4934	114	4	·	·	PUNCT
ap-4934	114	5	+	+	NUM
ap-4934	114	6	xn∑	xn∑	PROPN
ap-4934	114	7	i	i	X
ap-4934	114	8	=	=	PROPN
ap-4934	114	9	xn−1	xn−1	PROPN
ap-4934	114	10	+	+	PROPN
ap-4934	114	11	1	1	NUM
ap-4934	114	12	(	(	PUNCT
ap-4934	114	13	giin	giin	VERB
ap-4934	114	14	+	+	ADV
ap-4934	114	15	di(ei	di(ei	PROPN
ap-4934	114	16	+	+	NUM
ap-4934	114	17	fiin	fiin	NOUN
ap-4934	114	18	)	)	PUNCT
ap-4934	114	19	)	)	PUNCT
ap-4934	114	20	)	)	PUNCT
ap-4934	115	1	→	→	SYM
ap-4934	115	2	hyrp(min	hyrp(min	NOUN
ap-4934	115	3	)	)	PUNCT
ap-4934	115	4	.	.	PUNCT
ap-4934	116	1	(	(	PUNCT
ap-4934	116	2	23	23	NUM
ap-4934	116	3	)	)	PUNCT
ap-4934	116	4	in	in	ADP
ap-4934	116	5	order	order	NOUN
ap-4934	116	6	to	to	PART
ap-4934	116	7	realize	realize	VERB
ap-4934	116	8	the	the	DET
ap-4934	116	9	guided	guide	VERB
ap-4934	116	10	gravity	gravity	NOUN
ap-4934	116	11	technology	technology	NOUN
ap-4934	116	12	for	for	ADP
ap-4934	116	13	cuts	cut	NOUN
ap-4934	116	14	,	,	PUNCT
ap-4934	116	15	the	the	DET
ap-4934	116	16	objective	objective	ADJ
ap-4934	116	17	function	function	NOUN
ap-4934	116	18	(	(	PUNCT
ap-4934	116	19	23	23	NUM
ap-4934	116	20	)	)	PUNCT
ap-4934	116	21	should	should	AUX
ap-4934	116	22	be	be	AUX
ap-4934	116	23	minimized	minimize	VERB
ap-4934	116	24	at	at	ADP
ap-4934	116	25	non	non	ADJ
ap-4934	116	26	-	-	ADJ
ap-4934	116	27	linear	linear	ADJ
ap-4934	116	28	limitations	limitation	NOUN
ap-4934	116	29	-	-	PUNCT
ap-4934	116	30	equalities:	equalities:	NOUN
ap-4934	116	31	d1	d1	NOUN
ap-4934	116	32	=	=	SYM
ap-4934	116	33	fd1(v0	fd1(v0	NUM
ap-4934	116	34	)	)	PUNCT
ap-4934	116	35	,	,	PUNCT
ap-4934	116	36	e1	e1	NOUN
ap-4934	116	37	=	=	SYM
ap-4934	116	38	fe1(v0	fe1(v0	PROPN
ap-4934	116	39	)	)	PUNCT
ap-4934	116	40	,	,	PUNCT
ap-4934	116	41	d2	d2	PROPN
ap-4934	116	42	=	=	SYM
ap-4934	116	43	fd2(v0	fd2(v0	PROPN
ap-4934	116	44	,	,	PUNCT
ap-4934	116	45	i1	i1	PROPN
ap-4934	116	46	)	)	PUNCT
ap-4934	116	47	,	,	PUNCT
ap-4934	116	48	e2	e2	PROPN
ap-4934	116	49	=	=	SYM
ap-4934	116	50	fe2(v0	fe2(v0	PROPN
ap-4934	116	51	,	,	PUNCT
ap-4934	116	52	i1	i1	PROPN
ap-4934	116	53	)	)	PUNCT
ap-4934	116	54	,	,	PUNCT
ap-4934	116	55	d3	d3	PROPN
ap-4934	116	56	=	=	SYM
ap-4934	116	57	fd3(v0	fd3(v0	PROPN
ap-4934	116	58	,	,	PUNCT
ap-4934	116	59	i1	i1	PROPN
ap-4934	116	60	,	,	PUNCT
ap-4934	116	61	i2	i2	PROPN
ap-4934	116	62	)	)	PUNCT
ap-4934	116	63	,	,	PUNCT
ap-4934	116	64	e3	e3	PROPN
ap-4934	116	65	=	=	SYM
ap-4934	116	66	fe3(v0	fe3(v0	PROPN
ap-4934	116	67	,	,	PUNCT
ap-4934	116	68	i1	i1	PROPN
ap-4934	116	69	,	,	PUNCT
ap-4934	116	70	i2	i2	PROPN
ap-4934	116	71	)	)	PUNCT
ap-4934	116	72	,	,	PUNCT
ap-4934	116	73	dxn	dxn	PROPN
ap-4934	116	74	=	=	SYM
ap-4934	116	75	fdxn	fdxn	NOUN
ap-4934	116	76	(	(	PUNCT
ap-4934	116	77	v0	v0	PROPN
ap-4934	116	78	,	,	PUNCT
ap-4934	116	79	i1	i1	PROPN
ap-4934	116	80	,	,	PUNCT
ap-4934	116	81	i2	i2	PROPN
ap-4934	116	82	,	,	PUNCT
ap-4934	116	83	.	.	PUNCT
ap-4934	116	84	.	.	PUNCT
ap-4934	117	1	.	.	PUNCT
ap-4934	118	1	,	,	PUNCT
ap-4934	118	2	ixn−1	ixn−1	PROPN
ap-4934	118	3	)	)	PUNCT
ap-4934	118	4	,	,	PUNCT
ap-4934	118	5	en	en	X
ap-4934	118	6	=	=	SYM
ap-4934	118	7	fexn	fexn	PROPN
ap-4934	118	8	(	(	PUNCT
ap-4934	118	9	v0	v0	PROPN
ap-4934	118	10	,	,	PUNCT
ap-4934	118	11	i1	i1	PROPN
ap-4934	118	12	,	,	PUNCT
ap-4934	118	13	i2	i2	PROPN
ap-4934	118	14	,	,	PUNCT
ap-4934	118	15	.	.	PUNCT
ap-4934	118	16	.	.	PUNCT
ap-4934	119	1	.	.	PUNCT
ap-4934	120	1	,	,	PUNCT
ap-4934	120	2	ixn−1	ixn−1	PROPN
ap-4934	120	3	)	)	PUNCT
ap-4934	120	4	,	,	PUNCT
ap-4934	120	5	,	,	PUNCT
ap-4934	120	6	(	(	PUNCT
ap-4934	120	7	24	24	NUM
ap-4934	120	8	)	)	PUNCT
ap-4934	120	9	linear	linear	ADJ
ap-4934	120	10	limitations	limitation	NOUN
ap-4934	120	11	-	-	NOUN
ap-4934	120	12	inequalities:	inequalities:	NUM
ap-4934	120	13	0	0	NUM
ap-4934	120	14	≤	≤	PROPN
ap-4934	120	15	i1	i1	PROPN
ap-4934	120	16	≤	≤	NUM
ap-4934	120	17	50	50	NUM
ap-4934	120	18	,	,	PUNCT
ap-4934	120	19	25	25	NUM
ap-4934	120	20	≤	≤	NUM
ap-4934	120	21	i2	i2	PROPN
ap-4934	120	22	≤	≤	NOUN
ap-4934	120	23	50	50	NUM
ap-4934	120	24	,	,	PUNCT
ap-4934	120	25	−50	−50	ADJ
ap-4934	120	26	≤	≤	NOUN
ap-4934	120	27	in	in	ADP
ap-4934	120	28	≤	≤	NUM
ap-4934	120	29	50	50	NUM
ap-4934	120	30	,	,	PUNCT
ap-4934	120	31	i1	i1	PROPN
ap-4934	120	32	−	−	PROPN
ap-4934	120	33	i2	i2	PROPN
ap-4934	120	34	≤	≤	PROPN
ap-4934	120	35	25	25	NUM
ap-4934	120	36	,	,	PUNCT
ap-4934	120	37	hyrp	hyrp	NOUN
ap-4934	120	38	b	b	PROPN
ap-4934	120	39	≤	≤	NUM
ap-4934	120	40	nrhone	nrhone	NOUN
ap-4934	120	41	,	,	PUNCT
ap-4934	120	42	v	v	NUM
ap-4934	120	43	yrp	yrp	NOUN
ap-4934	120	44	en	en	X
ap-4934	120	45	≤	≤	NUM
ap-4934	120	46	v	v	NUM
ap-4934	120	47	yrp	yrp	NOUN
ap-4934	120	48	en(max	en(max	PROPN
ap-4934	120	49	)	)	PUNCT
ap-4934	120	50	,	,	PUNCT
ap-4934	120	51	t0	t0	PROPN
ap-4934	120	52	≤	≤	PROPN
ap-4934	120	53	tmax	tmax	ADP
ap-4934	120	54	0	0	NUM
ap-4934	120	55	,	,	PUNCT
ap-4934	120	56	,	,	PUNCT
ap-4934	120	57	(	(	PUNCT
ap-4934	120	58	25	25	NUM
ap-4934	120	59	)	)	PUNCT
ap-4934	120	60	and	and	CCONJ
ap-4934	120	61	linear	linear	ADJ
ap-4934	120	62	limitations	limitation	NOUN
ap-4934	120	63	-	-	PUNCT
ap-4934	120	64	equalities	equality	NOUN
ap-4934	120	65	:	:	PUNCT
ap-4934	120	66	{	{	PUNCT
ap-4934	120	67	lunf	lunf	ADJ
ap-4934	120	68	run	run	NOUN
ap-4934	120	69	=	=	SYM
ap-4934	120	70	lc	lc	PROPN
ap-4934	120	71	,	,	PUNCT
ap-4934	120	72	v	v	X
ap-4934	120	73	yhr	yhr	PROPN
ap-4934	120	74	ex	ex	X
ap-4934	121	1	=	=	NOUN
ap-4934	121	2	1.4	1.4	NUM
ap-4934	121	3	,	,	PUNCT
ap-4934	121	4	(	(	PUNCT
ap-4934	121	5	26	26	NUM
ap-4934	121	6	)	)	PUNCT
ap-4934	121	7	where	where	SCONJ
ap-4934	121	8	i1	i1	PROPN
ap-4934	121	9	,	,	PUNCT
ap-4934	121	10	i2	i2	PROPN
ap-4934	121	11	,	,	PUNCT
ap-4934	121	12	.	.	PUNCT
ap-4934	121	13	.	.	PUNCT
ap-4934	121	14	.	.	PUNCT
ap-4934	122	1	,	,	PUNCT
ap-4934	122	2	in	in	ADP
ap-4934	122	3	–	–	PUNCT
ap-4934	122	4	the	the	DET
ap-4934	122	5	profile	profile	NOUN
ap-4934	122	6	element	element	NOUN
ap-4934	122	7	slopes	slope	NOUN
ap-4934	122	8	of	of	ADP
ap-4934	122	9	a	a	DET
ap-4934	122	10	hump	hump	NOUN
ap-4934	122	11	,	,	PUNCT
ap-4934	122	12	%	%	NOUN
ap-4934	122	13	0	0	NUM
ap-4934	122	14	;	;	PUNCT
ap-4934	122	15	hyrp	hyrp	PROPN
ap-4934	122	16	b	b	PROPN
ap-4934	122	17	–	–	PUNCT
ap-4934	122	18	the	the	DET
ap-4934	122	19	value	value	NOUN
ap-4934	122	20	of	of	ADP
ap-4934	122	21	the	the	DET
ap-4934	122	22	heavy	heavy	ADJ
ap-4934	122	23	car	car	NOUN
ap-4934	122	24	braking	brake	VERB
ap-4934	122	25	under	under	ADP
ap-4934	122	26	favourable	favourable	ADJ
ap-4934	122	27	summer	summer	NOUN
ap-4934	122	28	conditions	condition	NOUN
ap-4934	122	29	at	at	ADP
ap-4934	122	30	yrp	yrp	PROPN
ap-4934	122	31	,	,	PUNCT
ap-4934	122	32	kj	kj	PROPN
ap-4934	122	33	/	/	SYM
ap-4934	122	34	kn	kn	PROPN
ap-4934	122	35	;	;	PUNCT
ap-4934	122	36	nr	nr	PRON
ap-4934	122	37	–	–	PUNCT
ap-4934	122	38	the	the	DET
ap-4934	122	39	number	number	NOUN
ap-4934	122	40	of	of	ADP
ap-4934	122	41	retarders	retarder	NOUN
ap-4934	122	42	installed	instal	VERB
ap-4934	122	43	at	at	ADP
ap-4934	122	44	yrps	yrps	PROPN
ap-4934	122	45	;	;	PUNCT
ap-4934	122	46	hone	hone	NOUN
ap-4934	122	47	–	–	PUNCT
ap-4934	122	48	the	the	DET
ap-4934	122	49	capacity	capacity	NOUN
ap-4934	122	50	of	of	ADP
ap-4934	122	51	a	a	DET
ap-4934	122	52	retarder	retarder	NOUN
ap-4934	122	53	installed	instal	VERB
ap-4934	122	54	at	at	ADP
ap-4934	122	55	yrp	yrp	NOUN
ap-4934	122	56	,	,	PUNCT
ap-4934	122	57	kj	kj	PROPN
ap-4934	122	58	/	/	SYM
ap-4934	122	59	kn	kn	PROPN
ap-4934	122	60	;	;	PUNCT
ap-4934	122	61	v	v	NUM
ap-4934	122	62	yrp	yrp	NOUN
ap-4934	122	63	en	en	X
ap-4934	122	64	–	–	PUNCT
ap-4934	122	65	the	the	DET
ap-4934	122	66	entry	entry	NOUN
ap-4934	122	67	speed	speed	NOUN
ap-4934	122	68	of	of	ADP
ap-4934	122	69	a	a	DET
ap-4934	122	70	heavy	heavy	ADJ
ap-4934	122	71	car	car	NOUN
ap-4934	122	72	under	under	ADP
ap-4934	122	73	favourable	favourable	ADJ
ap-4934	122	74	summer	summer	NOUN
ap-4934	122	75	conditions	condition	NOUN
ap-4934	122	76	at	at	ADP
ap-4934	122	77	yrp	yrp	NOUN
ap-4934	122	78	,	,	PUNCT
ap-4934	122	79	m	m	PROPN
ap-4934	122	80	/	/	SYM
ap-4934	122	81	s	s	PROPN
ap-4934	122	82	;	;	PUNCT
ap-4934	122	83	v	v	NUM
ap-4934	122	84	yrp	yrp	NOUN
ap-4934	122	85	en(max	en(max	PROPN
ap-4934	122	86	)	)	PUNCT
ap-4934	122	87	–	–	PUNCT
ap-4934	122	88	the	the	DET
ap-4934	122	89	maximum	maximum	ADJ
ap-4934	122	90	admissible	admissible	ADJ
ap-4934	122	91	entry	entry	NOUN
ap-4934	122	92	speed	speed	NOUN
ap-4934	122	93	of	of	ADP
ap-4934	122	94	a	a	DET
ap-4934	122	95	heavy	heavy	ADJ
ap-4934	122	96	car	car	NOUN
ap-4934	122	97	under	under	ADP
ap-4934	122	98	favourable	favourable	ADJ
ap-4934	122	99	summer	summer	NOUN
ap-4934	122	100	conditions	condition	NOUN
ap-4934	122	101	at	at	ADP
ap-4934	122	102	yrp	yrp	NOUN
ap-4934	122	103	,	,	PUNCT
ap-4934	122	104	m	m	PROPN
ap-4934	122	105	/	/	SYM
ap-4934	122	106	s	s	PROPN
ap-4934	122	107	;	;	PUNCT
ap-4934	122	108	t0	t0	PROPN
ap-4934	122	109	–	–	PUNCT
ap-4934	122	110	the	the	DET
ap-4934	122	111	time	time	NOUN
ap-4934	122	112	interval	interval	NOUN
ap-4934	122	113	at	at	ADP
ap-4934	122	114	dividing	divide	VERB
ap-4934	122	115	elements	element	NOUN
ap-4934	122	116	between	between	ADP
ap-4934	122	117	cars	car	NOUN
ap-4934	122	118	rolling	roll	VERB
ap-4934	122	119	in	in	ADP
ap-4934	122	120	turn	turn	NOUN
ap-4934	122	121	,	,	PUNCT
ap-4934	122	122	sec	sec	PROPN
ap-4934	122	123	;	;	PUNCT
ap-4934	122	124	tmax	tmax	ADP
ap-4934	122	125	0	0	NUM
ap-4934	122	126	–	–	PUNCT
ap-4934	122	127	the	the	DET
ap-4934	122	128	maximum	maximum	ADJ
ap-4934	122	129	accessible	accessible	ADJ
ap-4934	122	130	time	time	NOUN
ap-4934	122	131	at	at	ADP
ap-4934	122	132	dividing	divide	VERB
ap-4934	122	133	elements	element	NOUN
ap-4934	122	134	between	between	ADP
ap-4934	122	135	cars	car	NOUN
ap-4934	122	136	rolling	roll	VERB
ap-4934	122	137	in	in	ADP
ap-4934	122	138	turn	turn	NOUN
ap-4934	122	139	,	,	PUNCT
ap-4934	122	140	sec	sec	PROPN
ap-4934	122	141	;	;	PUNCT
ap-4934	122	142	lunf	lunf	ADJ
ap-4934	122	143	run	run	NOUN
ap-4934	122	144	–	–	PUNCT
ap-4934	122	145	the	the	DET
ap-4934	122	146	run	run	NOUN
ap-4934	122	147	of	of	ADP
ap-4934	122	148	a	a	DET
ap-4934	122	149	heavy	heavy	ADJ
ap-4934	122	150	car	car	NOUN
ap-4934	122	151	under	under	ADP
ap-4934	122	152	unfavourable	unfavourable	ADJ
ap-4934	122	153	winter	winter	NOUN
ap-4934	122	154	conditions	condition	NOUN
ap-4934	122	155	along	along	ADP
ap-4934	122	156	a	a	DET
ap-4934	122	157	difficult	difficult	ADJ
ap-4934	122	158	track	track	NOUN
ap-4934	122	159	in	in	ADP
ap-4934	122	160	terms	term	NOUN
ap-4934	122	161	of	of	ADP
ap-4934	122	162	resistance	resistance	NOUN
ap-4934	122	163	,	,	PUNCT
ap-4934	122	164	m	m	PROPN
ap-4934	122	165	;	;	PUNCT
ap-4934	122	166	lc	lc	PROPN
ap-4934	122	167	–	–	PUNCT
ap-4934	122	168	the	the	DET
ap-4934	122	169	calculation	calculation	NOUN
ap-4934	122	170	length	length	NOUN
ap-4934	122	171	of	of	ADP
ap-4934	122	172	a	a	DET
ap-4934	122	173	difficult	difficult	ADJ
ap-4934	122	174	track	track	NOUN
ap-4934	122	175	in	in	ADP
ap-4934	122	176	terms	term	NOUN
ap-4934	122	177	of	of	ADP
ap-4934	122	178	resistance	resistance	NOUN
ap-4934	122	179	from	from	ADP
ap-4934	122	180	the	the	DET
ap-4934	122	181	hump	hump	NOUN
ap-4934	122	182	crest	crest	NOUN
ap-4934	122	183	to	to	ADP
ap-4934	122	184	the	the	DET
ap-4934	122	185	design	design	NOUN
ap-4934	122	186	point	point	NOUN
ap-4934	122	187	,	,	PUNCT
ap-4934	122	188	m	m	PROPN
ap-4934	122	189	;	;	PUNCT
ap-4934	122	190	v	v	X
ap-4934	122	191	yrp	yrp	NOUN
ap-4934	122	192	ex	ex	X
ap-4934	122	193	–	–	PUNCT
ap-4934	122	194	the	the	DET
ap-4934	122	195	exit	exit	NOUN
ap-4934	122	196	speed	speed	NOUN
ap-4934	122	197	of	of	ADP
ap-4934	122	198	a	a	DET
ap-4934	122	199	heavy	heavy	ADJ
ap-4934	122	200	car	car	NOUN
ap-4934	122	201	from	from	ADP
ap-4934	122	202	yrp	yrp	PROPN
ap-4934	122	203	,	,	PUNCT
ap-4934	122	204	m	m	PROPN
ap-4934	122	205	/	/	SYM
ap-4934	122	206	s.	s.	PROPN
ap-4934	122	207	according	accord	VERB
ap-4934	122	208	to	to	ADP
ap-4934	122	209	[	[	X
ap-4934	122	210	8	8	NUM
ap-4934	122	211	]	]	PUNCT
ap-4934	122	212	,	,	PUNCT
ap-4934	122	213	the	the	DET
ap-4934	122	214	task	task	NOUN
ap-4934	122	215	can	can	AUX
ap-4934	122	216	not	not	PART
ap-4934	122	217	be	be	AUX
ap-4934	122	218	reduced	reduce	VERB
ap-4934	122	219	to	to	ADP
ap-4934	122	220	an	an	DET
ap-4934	122	221	unconditional	unconditional	ADJ
ap-4934	122	222	extremum	extremum	ADJ
ap-4934	122	223	task	task	NOUN
ap-4934	122	224	.	.	PUNCT
ap-4934	123	1	therefore	therefore	ADV
ap-4934	123	2	,	,	PUNCT
ap-4934	123	3	let	let	VERB
ap-4934	123	4	us	we	PRON
ap-4934	123	5	consider	consider	VERB
ap-4934	123	6	other	other	ADJ
ap-4934	123	7	ways	way	NOUN
ap-4934	123	8	to	to	PART
ap-4934	123	9	solve	solve	VERB
ap-4934	123	10	the	the	DET
ap-4934	123	11	task	task	NOUN
ap-4934	123	12	.	.	PUNCT
ap-4934	124	1	the	the	DET
ap-4934	124	2	method	method	NOUN
ap-4934	124	3	of	of	ADP
ap-4934	124	4	lagrange	lagrange	NOUN
ap-4934	124	5	multipliers	multiplier	NOUN
ap-4934	124	6	is	be	AUX
ap-4934	124	7	technically	technically	ADV
ap-4934	124	8	difficult	difficult	ADJ
ap-4934	124	9	to	to	PART
ap-4934	124	10	implement	implement	VERB
ap-4934	124	11	as	as	ADP
ap-4934	124	12	the	the	DET
ap-4934	124	13	number	number	NOUN
ap-4934	124	14	of	of	ADP
ap-4934	124	15	limitations	limitation	NOUN
ap-4934	124	16	-	-	PUNCT
ap-4934	124	17	equalities	equality	NOUN
ap-4934	124	18	is	be	AUX
ap-4934	124	19	rather	rather	ADV
ap-4934	124	20	great	great	ADJ
ap-4934	124	21	.	.	PUNCT
ap-4934	125	1	however	however	ADV
ap-4934	125	2	,	,	PUNCT
ap-4934	125	3	the	the	DET
ap-4934	125	4	method	method	NOUN
ap-4934	125	5	can	can	AUX
ap-4934	125	6	not	not	PART
ap-4934	125	7	be	be	AUX
ap-4934	125	8	directly	directly	ADV
ap-4934	125	9	used	use	VERB
ap-4934	125	10	if	if	SCONJ
ap-4934	125	11	limitations	limitation	NOUN
ap-4934	125	12	are	be	AUX
ap-4934	125	13	inequalities	inequality	NOUN
ap-4934	125	14	[	[	X
ap-4934	125	15	8	8	NUM
ap-4934	125	16	]	]	PUNCT
ap-4934	125	17	.	.	PUNCT
ap-4934	126	1	thus	thus	ADV
ap-4934	126	2	,	,	PUNCT
ap-4934	126	3	there	there	PRON
ap-4934	126	4	is	be	VERB
ap-4934	126	5	a	a	DET
ap-4934	126	6	needed	need	VERB
ap-4934	126	7	to	to	PART
ap-4934	126	8	have	have	VERB
ap-4934	126	9	a	a	DET
ap-4934	126	10	method	method	NOUN
ap-4934	126	11	that	that	PRON
ap-4934	126	12	will	will	AUX
ap-4934	126	13	allow	allow	VERB
ap-4934	126	14	finding	find	VERB
ap-4934	126	15	the	the	DET
ap-4934	126	16	minimal	minimal	ADJ
ap-4934	126	17	value	value	NOUN
ap-4934	126	18	of	of	ADP
ap-4934	126	19	hyrp	hyrp	NOUN
ap-4934	126	20	with	with	ADP
ap-4934	126	21	the	the	DET
ap-4934	126	22	minimal	minimal	ADJ
ap-4934	126	23	variant	variant	ADJ
ap-4934	126	24	search	search	NOUN
ap-4934	126	25	.	.	PUNCT
ap-4934	127	1	the	the	DET
ap-4934	127	2	standard	standard	ADJ
ap-4934	127	3	method	method	NOUN
ap-4934	127	4	of	of	ADP
ap-4934	127	5	lagrange	lagrange	NOUN
ap-4934	127	6	multipliers	multiplier	NOUN
ap-4934	127	7	supplemented	supplement	VERB
ap-4934	127	8	with	with	ADP
ap-4934	127	9	terms	term	NOUN
ap-4934	127	10	,	,	PUNCT
ap-4934	127	11	stem	stem	VERB
ap-4934	127	12	from	from	ADP
ap-4934	127	13	the	the	DET
ap-4934	127	14	duality	duality	NOUN
ap-4934	127	15	theory	theory	NOUN
ap-4934	127	16	,	,	PUNCT
ap-4934	127	17	got	get	VERB
ap-4934	127	18	its	its	PRON
ap-4934	127	19	generalization	generalization	NOUN
ap-4934	127	20	to	to	ADP
ap-4934	127	21	the	the	DET
ap-4934	127	22	task	task	NOUN
ap-4934	127	23	of	of	ADP
ap-4934	127	24	non	non	ADJ
ap-4934	127	25	-	-	ADJ
ap-4934	127	26	linear	linear	ADJ
ap-4934	127	27	programming	programming	NOUN
ap-4934	127	28	of	of	ADP
ap-4934	127	29	a	a	DET
ap-4934	127	30	general	general	ADJ
ap-4934	127	31	kind	kind	NOUN
ap-4934	127	32	with	with	ADP
ap-4934	127	33	limitations	limitation	NOUN
ap-4934	127	34	of	of	ADP
ap-4934	127	35	the	the	DET
ap-4934	127	36	equality	equality	NOUN
ap-4934	127	37	-	-	PUNCT
ap-4934	127	38	inequality	inequality	NOUN
ap-4934	127	39	type	type	NOUN
ap-4934	127	40	[	[	X
ap-4934	127	41	8	8	NUM
ap-4934	127	42	]	]	PUNCT
ap-4934	127	43	.	.	PUNCT
ap-4934	128	1	the	the	DET
ap-4934	128	2	needed	need	VERB
ap-4934	128	3	optimality	optimality	NOUN
ap-4934	128	4	conditions	condition	NOUN
ap-4934	128	5	of	of	ADP
ap-4934	128	6	such	such	ADJ
ap-4934	128	7	tasks	task	NOUN
ap-4934	128	8	are	be	AUX
ap-4934	128	9	called	call	VERB
ap-4934	128	10	the	the	DET
ap-4934	128	11	kuhn	kuhn	PROPN
ap-4934	128	12	-	-	PUNCT
ap-4934	128	13	tucker	tucker	PROPN
ap-4934	128	14	conditions	condition	NOUN
ap-4934	128	15	.	.	PUNCT
ap-4934	129	1	in	in	ADP
ap-4934	129	2	order	order	NOUN
ap-4934	129	3	to	to	PART
ap-4934	129	4	build	build	VERB
ap-4934	129	5	the	the	DET
ap-4934	129	6	kuhn	kuhn	PROPN
ap-4934	129	7	-	-	PUNCT
ap-4934	129	8	tucker	tucker	PROPN
ap-4934	129	9	tasks	task	NOUN
ap-4934	129	10	,	,	PUNCT
ap-4934	129	11	a	a	DET
ap-4934	129	12	mathematical	mathematical	ADJ
ap-4934	129	13	model	model	NOUN
ap-4934	129	14	of	of	ADP
ap-4934	129	15	the	the	DET
ap-4934	129	16	non	non	ADJ
ap-4934	129	17	-	-	ADJ
ap-4934	129	18	linear	linear	ADJ
ap-4934	129	19	programming	programming	NOUN
ap-4934	129	20	task	task	NOUN
ap-4934	129	21	must	must	AUX
ap-4934	129	22	have	have	VERB
ap-4934	129	23	a	a	DET
ap-4934	129	24	strict	strict	ADJ
ap-4934	129	25	limitationsinequalities	limitationsinequalitie	NOUN
ap-4934	129	26	recording	recording	NOUN
ap-4934	129	27	:	:	PUNCT
ap-4934	130	1	z	z	PROPN
ap-4934	130	2	=	=	SYM
ap-4934	130	3	f(x)→	f(x)→	NOUN
ap-4934	130	4	min	min	NOUN
ap-4934	130	5	,	,	PUNCT
ap-4934	130	6	{	{	PUNCT
ap-4934	130	7	hk(x	hk(x	ADJ
ap-4934	130	8	)	)	PUNCT
ap-4934	130	9	=	=	SYM
ap-4934	130	10	0	0	NUM
ap-4934	130	11	,	,	PUNCT
ap-4934	130	12	k	k	NOUN
ap-4934	130	13	=	=	SYM
ap-4934	130	14	1	1	NUM
ap-4934	130	15	,	,	PUNCT
ap-4934	130	16	s	s	X
ap-4934	130	17	,	,	PUNCT
ap-4934	130	18	gi(x	gi(x	PROPN
ap-4934	130	19	)	)	PUNCT
ap-4934	130	20	≤	≤	NUM
ap-4934	130	21	0	0	NUM
ap-4934	131	1	,	,	PUNCT
ap-4934	131	2	i	i	PRON
ap-4934	131	3	=	=	PUNCT
ap-4934	131	4	1,m	1,m	PROPN
ap-4934	131	5	.	.	PUNCT
ap-4934	132	1	(	(	PUNCT
ap-4934	132	2	27	27	NUM
ap-4934	132	3	)	)	PUNCT
ap-4934	132	4	the	the	DET
ap-4934	132	5	conditions	condition	NOUN
ap-4934	132	6	of	of	ADP
ap-4934	132	7	non	non	ADJ
ap-4934	132	8	-	-	ADJ
ap-4934	132	9	negative	negative	ADJ
ap-4934	132	10	variables	variable	NOUN
ap-4934	132	11	are	be	AUX
ap-4934	132	12	included	include	VERB
ap-4934	132	13	in	in	ADP
ap-4934	132	14	the	the	DET
ap-4934	132	15	task	task	NOUN
ap-4934	132	16	recording	recording	NOUN
ap-4934	132	17	as	as	ADP
ap-4934	132	18	limitations	limitation	NOUN
ap-4934	132	19	-	-	PUNCT
ap-4934	132	20	inequalities	inequality	NOUN
ap-4934	132	21	:	:	PUNCT
ap-4934	132	22	gi	gi	NOUN
ap-4934	132	23	=	=	PUNCT
ap-4934	132	24	−xj	−xj	PROPN
ap-4934	132	25	≤	≤	NUM
ap-4934	132	26	0	0	NUM
ap-4934	132	27	.	.	PUNCT
ap-4934	133	1	(	(	PUNCT
ap-4934	133	2	28	28	NUM
ap-4934	133	3	)	)	PUNCT
ap-4934	133	4	374	374	NUM
ap-4934	133	5	vol	vol	NOUN
ap-4934	133	6	.	.	PUNCT
ap-4934	134	1	58	58	NUM
ap-4934	134	2	no	no	INTJ
ap-4934	134	3	.	.	PUNCT
ap-4934	135	1	6/2018	6/2018	NUM
ap-4934	135	2	example	example	NOUN
ap-4934	135	3	of	of	ADP
ap-4934	135	4	an	an	DET
ap-4934	135	5	article	article	NOUN
ap-4934	135	6	with	with	ADP
ap-4934	135	7	xa	xa	PROPN
ap-4934	135	8	long	long	ADJ
ap-4934	135	9	title	title	NOUN
ap-4934	135	10	the	the	DET
ap-4934	135	11	lagrange	lagrange	NOUN
ap-4934	135	12	function	function	NOUN
ap-4934	135	13	of	of	ADP
ap-4934	135	14	the	the	DET
ap-4934	135	15	task	task	NOUN
ap-4934	135	16	is	be	AUX
ap-4934	135	17	built	build	VERB
ap-4934	135	18	with	with	ADP
ap-4934	135	19	s+m	s+m	PROPN
ap-4934	135	20	of	of	ADP
ap-4934	135	21	undetermined	undetermined	ADJ
ap-4934	135	22	coefficients	coefficient	NOUN
ap-4934	135	23	:	:	PUNCT
ap-4934	135	24	l(x	l(x	PROPN
ap-4934	135	25	,	,	PUNCT
ap-4934	135	26	v	v	NOUN
ap-4934	135	27	,	,	PUNCT
ap-4934	135	28	u	u	NOUN
ap-4934	135	29	)	)	PUNCT
ap-4934	135	30	=	=	SYM
ap-4934	135	31	f(x	f(x	PROPN
ap-4934	135	32	)	)	PUNCT
ap-4934	136	1	+	+	CCONJ
ap-4934	136	2	s∑	s∑	PROPN
ap-4934	136	3	k=1	k=1	PROPN
ap-4934	136	4	vkhk(x	vkhk(x	PROPN
ap-4934	136	5	)	)	PUNCT
ap-4934	137	1	+	+	CCONJ
ap-4934	137	2	m∑	m∑	ADV
ap-4934	137	3	i=1	i=1	PROPN
ap-4934	137	4	uigi(x	uigi(x	PROPN
ap-4934	137	5	)	)	PUNCT
ap-4934	137	6	.	.	PUNCT
ap-4934	138	1	(	(	PUNCT
ap-4934	138	2	29	29	NUM
ap-4934	138	3	)	)	PUNCT
ap-4934	138	4	the	the	DET
ap-4934	138	5	coefficients	coefficient	NOUN
ap-4934	138	6	vk(k	vk(k	PUNCT
ap-4934	139	1	=	=	NOUN
ap-4934	139	2	1	1	NUM
ap-4934	139	3	,	,	PUNCT
ap-4934	139	4	s	s	NOUN
ap-4934	139	5	)	)	PUNCT
ap-4934	139	6	,	,	PUNCT
ap-4934	139	7	ui(i	ui(i	NUM
ap-4934	139	8	=	=	SYM
ap-4934	139	9	1,m	1,m	X
ap-4934	139	10	)	)	PUNCT
ap-4934	139	11	are	be	AUX
ap-4934	139	12	called	call	VERB
ap-4934	139	13	the	the	DET
ap-4934	139	14	lagrange	lagrange	NOUN
ap-4934	139	15	multipliers	multiplier	NOUN
ap-4934	139	16	.	.	PUNCT
ap-4934	140	1	they	they	PRON
ap-4934	140	2	are	be	AUX
ap-4934	140	3	unlimited	unlimited	ADJ
ap-4934	140	4	by	by	ADP
ap-4934	140	5	sign	sign	NOUN
ap-4934	140	6	dual	dual	ADJ
ap-4934	140	7	variables	variable	NOUN
ap-4934	140	8	corresponding	correspond	VERB
ap-4934	140	9	to	to	ADP
ap-4934	140	10	limitations	limitation	NOUN
ap-4934	140	11	-	-	PUNCT
ap-4934	140	12	equalities	equality	NOUN
ap-4934	140	13	(	(	PUNCT
ap-4934	140	14	vk	vk	X
ap-4934	140	15	=	=	SYM
ap-4934	140	16	0	0	PROPN
ap-4934	140	17	,	,	PUNCT
ap-4934	140	18	k	k	NOUN
ap-4934	140	19	=	=	SYM
ap-4934	140	20	1	1	NUM
ap-4934	140	21	,	,	PUNCT
ap-4934	140	22	s	s	PART
ap-4934	140	23	)	)	PUNCT
ap-4934	140	24	and	and	CCONJ
ap-4934	140	25	non	non	ADJ
ap-4934	140	26	-	-	ADJ
ap-4934	140	27	negative	negative	ADJ
ap-4934	140	28	dual	dual	ADJ
ap-4934	140	29	variables	variable	NOUN
ap-4934	140	30	corresponding	correspond	VERB
ap-4934	140	31	to	to	ADP
ap-4934	140	32	limitations	limitation	NOUN
ap-4934	140	33	-	-	PUNCT
ap-4934	140	34	inequalities	inequality	NOUN
ap-4934	140	35	(	(	PUNCT
ap-4934	140	36	ui	ui	PROPN
ap-4934	140	37	≥	≥	NOUN
ap-4934	140	38	0	0	NUM
ap-4934	140	39	,	,	PUNCT
ap-4934	140	40	i	i	PRON
ap-4934	140	41	=	=	PUNCT
ap-4934	141	1	1,m	1,m	X
ap-4934	141	2	)	)	PUNCT
ap-4934	141	3	.	.	PUNCT
ap-4934	142	1	the	the	DET
ap-4934	142	2	following	follow	VERB
ap-4934	142	3	equation	equation	NOUN
ap-4934	142	4	system	system	NOUN
ap-4934	142	5	with	with	ADP
ap-4934	142	6	the	the	DET
ap-4934	142	7	n	n	NOUN
ap-4934	142	8	+	+	NUM
ap-4934	142	9	s	s	PART
ap-4934	142	10	+	+	NOUN
ap-4934	142	11	m	m	VERB
ap-4934	142	12	unknown	unknown	ADJ
ap-4934	142	13	variable	variable	NOUN
ap-4934	142	14	is	be	AUX
ap-4934	142	15	called	call	VERB
ap-4934	142	16	the	the	DET
ap-4934	142	17	kuhn	kuhn	PROPN
ap-4934	142	18	-	-	PUNCT
ap-4934	142	19	tucker	tucker	PROPN
ap-4934	142	20	task	task	PROPN
ap-4934	142	21	for	for	ADP
ap-4934	142	22	minimization	minimization	NOUN
ap-4934	142	23	:	:	PUNCT
ap-4934	142	24			ADV
ap-4934	142	25	~5f(x	~5f(x	PUNCT
ap-4934	142	26	)	)	PUNCT
ap-4934	143	1	+	+	CCONJ
ap-4934	143	2	∑s	∑s	PUNCT
ap-4934	143	3	k=1	k=1	AUX
ap-4934	143	4	vk	vk	VERB
ap-4934	143	5	~5hk(x	~5hk(x	NOUN
ap-4934	143	6	)	)	PUNCT
ap-4934	144	1	+	+	CCONJ
ap-4934	144	2	∑m	∑m	ADJ
ap-4934	144	3	i=1	i=1	PROPN
ap-4934	144	4	ui	ui	PROPN
ap-4934	144	5	~5gi(x	~5gi(x	NOUN
ap-4934	144	6	)	)	PUNCT
ap-4934	145	1	=	=	SYM
ap-4934	145	2	0	0	NUM
ap-4934	145	3	,	,	PUNCT
ap-4934	145	4	hk(x	hk(x	ADJ
ap-4934	145	5	)	)	PUNCT
ap-4934	145	6	=	=	SYM
ap-4934	145	7	0	0	NUM
ap-4934	145	8	,	,	PUNCT
ap-4934	145	9	k	k	NOUN
ap-4934	145	10	=	=	SYM
ap-4934	145	11	1	1	NUM
ap-4934	145	12	,	,	PUNCT
ap-4934	145	13	s	s	X
ap-4934	145	14	,	,	PUNCT
ap-4934	145	15	gi(x	gi(x	PROPN
ap-4934	145	16	)	)	PUNCT
ap-4934	145	17	≤	≤	NUM
ap-4934	145	18	0	0	NUM
ap-4934	145	19	,	,	PUNCT
ap-4934	145	20	i	i	PRON
ap-4934	145	21	=	=	PUNCT
ap-4934	145	22	1,m	1,m	ADJ
ap-4934	145	23	,	,	PUNCT
ap-4934	145	24	uigi(x	uigi(x	NOUN
ap-4934	145	25	)	)	PUNCT
ap-4934	145	26	=	=	SYM
ap-4934	146	1	0	0	NUM
ap-4934	146	2	,	,	PUNCT
ap-4934	146	3	i	i	PRON
ap-4934	146	4	=	=	SYM
ap-4934	146	5	1,m	1,m	PROPN
ap-4934	146	6	,	,	PUNCT
ap-4934	146	7	ui	ui	PROPN
ap-4934	146	8	≥	≥	NOUN
ap-4934	146	9	0	0	NUM
ap-4934	146	10	,	,	PUNCT
ap-4934	146	11	i	i	PRON
ap-4934	146	12	=	=	PUNCT
ap-4934	147	1	1,m	1,m	PROPN
ap-4934	147	2	.	.	PUNCT
ap-4934	148	1	(	(	PUNCT
ap-4934	148	2	30	30	NUM
ap-4934	148	3	)	)	PUNCT
ap-4934	148	4	the	the	DET
ap-4934	148	5	equations	equation	NOUN
ap-4934	148	6	uigi(x	uigi(x	NOUN
ap-4934	148	7	)	)	PUNCT
ap-4934	148	8	=	=	SYM
ap-4934	149	1	0	0	NUM
ap-4934	149	2	,	,	PUNCT
ap-4934	149	3	i	i	PRON
ap-4934	149	4	=	=	NOUN
ap-4934	150	1	1,m	1,m	NOUN
ap-4934	150	2	are	be	AUX
ap-4934	150	3	the	the	DET
ap-4934	150	4	complementary	complementary	ADJ
ap-4934	150	5	slackness	slackness	NOUN
ap-4934	150	6	conditions	condition	NOUN
ap-4934	150	7	;	;	PUNCT
ap-4934	150	8	they	they	PRON
ap-4934	150	9	are	be	AUX
ap-4934	150	10	an	an	DET
ap-4934	150	11	analogy	analogy	NOUN
ap-4934	150	12	of	of	ADP
ap-4934	150	13	the	the	DET
ap-4934	150	14	second	second	ADJ
ap-4934	150	15	duality	duality	NOUN
ap-4934	150	16	theorem	theorem	NOUN
ap-4934	150	17	of	of	ADP
ap-4934	150	18	linear	linear	PROPN
ap-4934	150	19	programming	programming	NOUN
ap-4934	150	20	tasks	task	NOUN
ap-4934	150	21	.	.	PUNCT
ap-4934	151	1	if	if	SCONJ
ap-4934	151	2	in	in	ADP
ap-4934	151	3	point	point	NOUN
ap-4934	151	4	x	x	PRON
ap-4934	151	5	,	,	PUNCT
ap-4934	151	6	the	the	DET
ap-4934	151	7	limitation	limitation	NOUN
ap-4934	151	8	gi(x	gi(x	PUNCT
ap-4934	151	9	)	)	PUNCT
ap-4934	151	10	is	be	AUX
ap-4934	151	11	inactive	inactive	ADJ
ap-4934	151	12	(	(	PUNCT
ap-4934	151	13	gi(x	gi(x	NUM
ap-4934	151	14	)	)	PUNCT
ap-4934	151	15	>	>	X
ap-4934	152	1	0	0	X
ap-4934	152	2	)	)	PUNCT
ap-4934	152	3	then	then	ADV
ap-4934	152	4	ui	ui	PROPN
ap-4934	153	1	=	=	NOUN
ap-4934	153	2	0	0	NUM
ap-4934	153	3	,	,	PUNCT
ap-4934	153	4	if	if	SCONJ
ap-4934	153	5	gi(x	gi(x	NUM
ap-4934	153	6	)	)	PUNCT
ap-4934	153	7	is	be	AUX
ap-4934	153	8	active	active	ADJ
ap-4934	153	9	(	(	PUNCT
ap-4934	153	10	gi(x	gi(x	NOUN
ap-4934	153	11	)	)	PUNCT
ap-4934	154	1	=	=	PUNCT
ap-4934	154	2	0	0	NUM
ap-4934	154	3	)	)	PUNCT
ap-4934	154	4	,	,	PUNCT
ap-4934	154	5	than	than	ADP
ap-4934	154	6	ui	ui	PROPN
ap-4934	154	7	>	>	X
ap-4934	154	8	0	0	X
ap-4934	154	9	.	.	PUNCT
ap-4934	155	1	the	the	DET
ap-4934	155	2	solution	solution	NOUN
ap-4934	155	3	to	to	ADP
ap-4934	155	4	the	the	DET
ap-4934	155	5	kuhn	kuhn	PROPN
ap-4934	155	6	-	-	PUNCT
ap-4934	155	7	tucker	tucker	PROPN
ap-4934	155	8	task	task	NOUN
ap-4934	155	9	should	should	AUX
ap-4934	155	10	start	start	VERB
ap-4934	155	11	with	with	ADP
ap-4934	155	12	the	the	DET
ap-4934	155	13	analysis	analysis	NOUN
ap-4934	155	14	of	of	ADP
ap-4934	155	15	this	this	DET
ap-4934	155	16	group	group	NOUN
ap-4934	155	17	of	of	ADP
ap-4934	155	18	equations	equation	NOUN
ap-4934	155	19	searching	search	VERB
ap-4934	155	20	all	all	DET
ap-4934	155	21	possible	possible	ADJ
ap-4934	155	22	combinations	combination	NOUN
ap-4934	155	23	of	of	ADP
ap-4934	155	24	equality	equality	NOUN
ap-4934	155	25	to	to	ADP
ap-4934	155	26	zero	zero	NUM
ap-4934	155	27	ui	ui	NOUN
ap-4934	155	28	or	or	CCONJ
ap-4934	155	29	gi(x)in	gi(x)in	ADJ
ap-4934	155	30	turn	turn	NOUN
ap-4934	155	31	.	.	PUNCT
ap-4934	156	1	the	the	DET
ap-4934	156	2	optimal	optimal	ADJ
ap-4934	156	3	solution	solution	NOUN
ap-4934	156	4	should	should	AUX
ap-4934	156	5	be	be	AUX
ap-4934	156	6	sought	seek	VERB
ap-4934	156	7	among	among	ADP
ap-4934	156	8	points	point	NOUN
ap-4934	156	9	meeting	meet	VERB
ap-4934	156	10	the	the	DET
ap-4934	156	11	kuhn	kuhn	PROPN
ap-4934	156	12	-	-	PUNCT
ap-4934	156	13	tucker	tucker	PROPN
ap-4934	156	14	conditions	condition	NOUN
ap-4934	156	15	(	(	PUNCT
ap-4934	156	16	30	30	NUM
ap-4934	156	17	)	)	PUNCT
ap-4934	156	18	.	.	PUNCT
ap-4934	157	1	let	let	VERB
ap-4934	157	2	us	we	PRON
ap-4934	157	3	build	build	VERB
ap-4934	157	4	the	the	DET
ap-4934	157	5	kuhn	kuhn	PROPN
ap-4934	157	6	-	-	PUNCT
ap-4934	157	7	tucker	tucker	PROPN
ap-4934	157	8	task	task	PROPN
ap-4934	157	9	at	at	ADP
ap-4934	157	10	linear	linear	PROPN
ap-4934	157	11	limitations	limitation	NOUN
ap-4934	157	12	-	-	PUNCT
ap-4934	157	13	equalities	equality	NOUN
ap-4934	157	14	for	for	ADP
ap-4934	157	15	output	output	NOUN
ap-4934	157	16	task	task	NOUN
ap-4934	157	17	(	(	PUNCT
ap-4934	157	18	23	23	NUM
ap-4934	157	19	):	):	PUNCT
ap-4934	157	20	{	{	PUNCT
ap-4934	157	21	lunf	lunf	ADJ
ap-4934	157	22	run	run	NOUN
ap-4934	157	23	−	−	PROPN
ap-4934	157	24	lc	lc	NOUN
ap-4934	157	25	=	=	SYM
ap-4934	157	26	0	0	NUM
ap-4934	157	27	,	,	PUNCT
ap-4934	157	28	v	v	NOUN
ap-4934	157	29	phr	phr	NOUN
ap-4934	157	30	ex	ex	NOUN
ap-4934	157	31	−	−	PROPN
ap-4934	157	32	1.4	1.4	NUM
ap-4934	157	33	=	=	SYM
ap-4934	157	34	0	0	NUM
ap-4934	157	35	,	,	PUNCT
ap-4934	157	36	(	(	PUNCT
ap-4934	157	37	31	31	NUM
ap-4934	157	38	)	)	PUNCT
ap-4934	157	39	non	non	ADJ
ap-4934	157	40	-	-	ADJ
ap-4934	157	41	linear	linear	ADJ
ap-4934	157	42	limitations	limitation	NOUN
ap-4934	157	43	-	-	PUNCT
ap-4934	157	44	equalities	equality	NOUN
ap-4934	157	45	:	:	PUNCT
ap-4934	157	46			NUM
ap-4934	157	47	d1	d1	PROPN
ap-4934	157	48	−	−	PROPN
ap-4934	157	49	fd1(v0	fd1(v0	NUM
ap-4934	157	50	)	)	PUNCT
ap-4934	157	51	=	=	SYM
ap-4934	157	52	0	0	NUM
ap-4934	157	53	,	,	PUNCT
ap-4934	157	54	e1	e1	VERB
ap-4934	157	55	−	−	NOUN
ap-4934	157	56	fe1(v0	fe1(v0	NUM
ap-4934	157	57	)	)	PUNCT
ap-4934	157	58	=	=	SYM
ap-4934	157	59	0	0	NUM
ap-4934	157	60	,	,	PUNCT
ap-4934	157	61	d2	d2	PROPN
ap-4934	157	62	−	−	PROPN
ap-4934	157	63	fd2(v0	fd2(v0	PROPN
ap-4934	157	64	,	,	PUNCT
ap-4934	157	65	i1	i1	PROPN
ap-4934	157	66	)	)	PUNCT
ap-4934	158	1	=	=	SYM
ap-4934	158	2	0	0	NUM
ap-4934	158	3	,	,	PUNCT
ap-4934	158	4	e2	e2	PROPN
ap-4934	158	5	−	−	PROPN
ap-4934	158	6	fe2(v0	fe2(v0	PROPN
ap-4934	158	7	,	,	PUNCT
ap-4934	158	8	i1	i1	PROPN
ap-4934	158	9	)	)	PUNCT
ap-4934	158	10	=	=	SYM
ap-4934	159	1	0	0	NUM
ap-4934	159	2	,	,	PUNCT
ap-4934	159	3	d3	d3	PROPN
ap-4934	159	4	−	−	PROPN
ap-4934	159	5	fd3(v0	fd3(v0	PROPN
ap-4934	159	6	,	,	PUNCT
ap-4934	159	7	i1	i1	PROPN
ap-4934	159	8	,	,	PUNCT
ap-4934	159	9	i2	i2	PROPN
ap-4934	159	10	)	)	PUNCT
ap-4934	159	11	=	=	SYM
ap-4934	159	12	0	0	NUM
ap-4934	159	13	,	,	PUNCT
ap-4934	159	14	e3	e3	VERB
ap-4934	159	15	−	−	PROPN
ap-4934	159	16	fe3(v0	fe3(v0	PROPN
ap-4934	159	17	,	,	PUNCT
ap-4934	159	18	i1	i1	PROPN
ap-4934	159	19	,	,	PUNCT
ap-4934	159	20	i2	i2	PROPN
ap-4934	159	21	)	)	PUNCT
ap-4934	159	22	=	=	SYM
ap-4934	159	23	0	0	NUM
ap-4934	159	24	,	,	PUNCT
ap-4934	159	25	...	...	PUNCT
ap-4934	160	1	dzx	dzx	NOUN
ap-4934	160	2	−	−	PROPN
ap-4934	160	3	fdzx	fdzx	PROPN
ap-4934	160	4	(	(	PUNCT
ap-4934	160	5	v0	v0	PROPN
ap-4934	160	6	,	,	PUNCT
ap-4934	160	7	i1	i1	PROPN
ap-4934	160	8	,	,	PUNCT
ap-4934	160	9	i2	i2	PROPN
ap-4934	160	10	,	,	PUNCT
ap-4934	160	11	...	...	PUNCT
ap-4934	160	12	,	,	PUNCT
ap-4934	160	13	izx−1	izx−1	PROPN
ap-4934	160	14	)	)	PUNCT
ap-4934	160	15	=	=	SYM
ap-4934	160	16	0	0	NUM
ap-4934	160	17	,	,	PUNCT
ap-4934	160	18	ezx	ezx	X
ap-4934	160	19	−	−	PROPN
ap-4934	160	20	fezx	fezx	NOUN
ap-4934	160	21	(	(	PUNCT
ap-4934	160	22	v0	v0	PROPN
ap-4934	160	23	,	,	PUNCT
ap-4934	160	24	i1	i1	PROPN
ap-4934	160	25	,	,	PUNCT
ap-4934	160	26	i2	i2	PROPN
ap-4934	160	27	,	,	PUNCT
ap-4934	160	28	...	...	PUNCT
ap-4934	160	29	,	,	PUNCT
ap-4934	160	30	izx−1	izx−1	PROPN
ap-4934	160	31	)	)	PUNCT
ap-4934	160	32	=	=	SYM
ap-4934	160	33	0	0	NUM
ap-4934	160	34	;	;	PUNCT
ap-4934	160	35	(	(	PUNCT
ap-4934	160	36	32	32	NUM
ap-4934	160	37	)	)	PUNCT
ap-4934	160	38	linear	linear	ADJ
ap-4934	160	39	limitations	limitation	NOUN
ap-4934	160	40	-	-	PUNCT
ap-4934	160	41	inequalities	inequality	NOUN
ap-4934	160	42	:	:	PUNCT
ap-4934	160	43	0	0	NUM
ap-4934	160	44	≤	≤	PROPN
ap-4934	160	45	i1	i1	PROPN
ap-4934	160	46	≤	≤	PROPN
ap-4934	160	47	50→	50→	PROPN
ap-4934	160	48	{	{	PUNCT
ap-4934	160	49	0−	0−	NUM
ap-4934	160	50	i1	i1	PROPN
ap-4934	160	51	≤	≤	PROPN
ap-4934	160	52	0	0	NUM
ap-4934	160	53	,	,	PUNCT
ap-4934	160	54	i1	i1	PROPN
ap-4934	160	55	−	−	PROPN
ap-4934	160	56	50	50	NUM
ap-4934	160	57	≤	≤	NUM
ap-4934	160	58	0	0	NUM
ap-4934	160	59	,	,	PUNCT
ap-4934	160	60	25	25	NUM
ap-4934	160	61	≤	≤	PROPN
ap-4934	160	62	i2	i2	PROPN
ap-4934	160	63	≤	≤	PROPN
ap-4934	160	64	50→	50→	PROPN
ap-4934	160	65	{	{	PUNCT
ap-4934	160	66	25−	25−	NUM
ap-4934	160	67	i2	i2	PROPN
ap-4934	160	68	≤	≤	NUM
ap-4934	160	69	0	0	NUM
ap-4934	160	70	,	,	PUNCT
ap-4934	160	71	i2	i2	PROPN
ap-4934	160	72	−	−	PROPN
ap-4934	160	73	50	50	NUM
ap-4934	160	74	≤	≤	NUM
ap-4934	160	75	0	0	NUM
ap-4934	160	76	,	,	PUNCT
ap-4934	160	77	...	...	PUNCT
ap-4934	161	1	−50	−50	ADP
ap-4934	161	2	≤	≤	NUM
ap-4934	161	3	in	in	ADP
ap-4934	161	4	≤	≤	NUM
ap-4934	161	5	50→	50→	NOUN
ap-4934	161	6	{	{	PUNCT
ap-4934	161	7	−50−	−50−	ADV
ap-4934	161	8	in	in	ADP
ap-4934	161	9	≤	≤	NUM
ap-4934	161	10	0	0	NUM
ap-4934	161	11	,	,	PUNCT
ap-4934	161	12	in	in	ADP
ap-4934	161	13	−	−	PROPN
ap-4934	161	14	50	50	NUM
ap-4934	161	15	≤	≤	NUM
ap-4934	161	16	0	0	NUM
ap-4934	161	17	;	;	PUNCT
ap-4934	161	18	(	(	PUNCT
ap-4934	161	19	33	33	NUM
ap-4934	161	20	)	)	PUNCT
ap-4934	161	21	and	and	CCONJ
ap-4934	161	22			PROPN
ap-4934	161	23	i1	i1	PROPN
ap-4934	161	24	−	−	PROPN
ap-4934	161	25	i2	i2	PROPN
ap-4934	161	26	−	−	PROPN
ap-4934	161	27	25	25	NUM
ap-4934	161	28	≤	≤	NUM
ap-4934	161	29	0	0	NUM
ap-4934	161	30	,	,	PUNCT
ap-4934	161	31	v	v	X
ap-4934	161	32	yrp	yrp	NOUN
ap-4934	161	33	en	en	ADP
ap-4934	161	34	−	−	PROPN
ap-4934	161	35	v	v	NUM
ap-4934	161	36	yrp	yrp	NOUN
ap-4934	161	37	en(max	en(max	NOUN
ap-4934	161	38	)	)	PUNCT
ap-4934	161	39	≤	≤	NOUN
ap-4934	161	40	0	0	NUM
ap-4934	161	41	,	,	PUNCT
ap-4934	161	42	t0	t0	PRON
ap-4934	161	43	−	−	PROPN
ap-4934	161	44	tmax	tmax	ADP
ap-4934	161	45	0	0	NUM
ap-4934	161	46	≤	≤	NUM
ap-4934	161	47	0	0	NUM
ap-4934	161	48	.	.	PUNCT
ap-4934	162	1	(	(	PUNCT
ap-4934	162	2	34	34	NUM
ap-4934	162	3	)	)	PUNCT
ap-4934	162	4	375	375	NUM
ap-4934	162	5	s.	s.	PROPN
ap-4934	162	6	panchenko	panchenko	PROPN
ap-4934	162	7	,	,	PUNCT
ap-4934	162	8	o.	o.	PROPN
ap-4934	162	9	ohar	ohar	PROPN
ap-4934	162	10	,	,	PUNCT
ap-4934	162	11	m.	m.	PROPN
ap-4934	162	12	kutsenko	kutsenko	PROPN
ap-4934	162	13	,	,	PUNCT
ap-4934	162	14	j.	j.	PROPN
ap-4934	162	15	smachilo	smachilo	PROPN
ap-4934	162	16	acta	acta	PROPN
ap-4934	162	17	polytechnica	polytechnica	PROPN
ap-4934	162	18	the	the	DET
ap-4934	162	19	lagrange	lagrange	NOUN
ap-4934	162	20	function	function	NOUN
ap-4934	162	21	has	have	VERB
ap-4934	162	22	the	the	DET
ap-4934	162	23	form	form	NOUN
ap-4934	162	24	:	:	PUNCT
ap-4934	162	25	l(i	l(i	NOUN
ap-4934	162	26	,	,	PUNCT
ap-4934	162	27	v	v	NOUN
ap-4934	162	28	,	,	PUNCT
ap-4934	162	29	u	u	NOUN
ap-4934	162	30	)	)	PUNCT
ap-4934	162	31	=	=	SYM
ap-4934	162	32	a	a	DET
ap-4934	162	33	(	(	PUNCT
ap-4934	162	34	b	b	NOUN
ap-4934	162	35	+	+	CCONJ
ap-4934	162	36	z1∑	z1∑	PROPN
ap-4934	162	37	j=1	j=1	NOUN
ap-4934	162	38	(	(	PUNCT
ap-4934	162	39	cji1	cji1	PROPN
ap-4934	162	40	+	+	PROPN
ap-4934	162	41	dj(ej	dj(ej	PROPN
ap-4934	162	42	+	+	CCONJ
ap-4934	162	43	fji1	fji1	NOUN
ap-4934	162	44	)	)	PUNCT
ap-4934	162	45	)	)	PUNCT
ap-4934	163	1	+	+	CCONJ
ap-4934	163	2	z2∑	z2∑	PROPN
ap-4934	163	3	j	j	X
ap-4934	163	4	=	=	VERB
ap-4934	163	5	z1	z1	PROPN
ap-4934	163	6	+	+	PROPN
ap-4934	163	7	1	1	NUM
ap-4934	163	8	(	(	PUNCT
ap-4934	163	9	cji2	cji2	PROPN
ap-4934	163	10	+	+	PROPN
ap-4934	163	11	dj(ej	dj(ej	PROPN
ap-4934	163	12	+	+	X
ap-4934	163	13	fji2	fji2	PROPN
ap-4934	163	14	)	)	PUNCT
ap-4934	163	15	)	)	PUNCT
ap-4934	164	1	+	+	CCONJ
ap-4934	165	1	·	·	PUNCT
ap-4934	165	2	·	·	PUNCT
ap-4934	165	3	·	·	PUNCT
ap-4934	165	4	+	+	NUM
ap-4934	165	5	zx∑	zx∑	NUM
ap-4934	165	6	j	j	PROPN
ap-4934	166	1	=	=	PROPN
ap-4934	166	2	zx−1	zx−1	PROPN
ap-4934	166	3	+	+	PROPN
ap-4934	166	4	1	1	NUM
ap-4934	166	5	(	(	PUNCT
ap-4934	166	6	cjix	cjix	NOUN
ap-4934	166	7	+	+	NOUN
ap-4934	166	8	dj(ej	dj(ej	ADJ
ap-4934	166	9	+	+	NUM
ap-4934	166	10	fjix	fjix	NOUN
ap-4934	166	11	)	)	PUNCT
ap-4934	166	12	)	)	PUNCT
ap-4934	166	13	)	)	PUNCT
ap-4934	167	1	+	+	CCONJ
ap-4934	167	2	v1(lunf	v1(lunf	ADJ
ap-4934	167	3	run	run	NOUN
ap-4934	167	4	−	−	PROPN
ap-4934	167	5	lc	lc	NOUN
ap-4934	167	6	)	)	PUNCT
ap-4934	167	7	+	+	CCONJ
ap-4934	167	8	v2(v	v2(v	PUNCT
ap-4934	167	9	yrp	yrp	NOUN
ap-4934	167	10	ex	ex	NOUN
ap-4934	167	11	−	−	PROPN
ap-4934	167	12	1.4	1.4	NUM
ap-4934	167	13	)	)	PUNCT
ap-4934	167	14	+	+	CCONJ
ap-4934	167	15	v3(d1	v3(d1	PRON
ap-4934	167	16	−	−	NOUN
ap-4934	167	17	fd1(v0	fd1(v0	NUM
ap-4934	167	18	)	)	PUNCT
ap-4934	167	19	)	)	PUNCT
ap-4934	168	1	+	+	PUNCT
ap-4934	168	2	v4(e1−fe1(v0))+v5(d2−fd2(v0	v4(e1−fe1(v0))+v5(d2−fd2(v0	PROPN
ap-4934	168	3	,	,	PUNCT
ap-4934	168	4	i1))+v6(e2−fe2(v0	i1))+v6(e2−fe2(v0	PROPN
ap-4934	168	5	,	,	PUNCT
ap-4934	168	6	i1))+v7(d3−fd3(v0	i1))+v7(d3−fd3(v0	PROPN
ap-4934	168	7	,	,	PUNCT
ap-4934	168	8	i1	i1	PROPN
ap-4934	168	9	,	,	PUNCT
ap-4934	168	10	i2))+v8(e3−fe3(v0	i2))+v8(e3−fe3(v0	PROPN
ap-4934	168	11	,	,	PUNCT
ap-4934	168	12	i1	i1	PROPN
ap-4934	168	13	,	,	PUNCT
ap-4934	168	14	i2	i2	PROPN
ap-4934	168	15	)	)	PUNCT
ap-4934	168	16	)	)	PUNCT
ap-4934	168	17	+	+	CCONJ
ap-4934	168	18	·	·	PUNCT
ap-4934	168	19	·	·	PUNCT
ap-4934	168	20	·	·	PUNCT
ap-4934	168	21	+	+	NUM
ap-4934	168	22	v2zx+2(dzx	v2zx+2(dzx	NUM
ap-4934	168	23	−	−	PROPN
ap-4934	168	24	fdzx	fdzx	PROPN
ap-4934	168	25	(	(	PUNCT
ap-4934	168	26	v0	v0	PROPN
ap-4934	168	27	,	,	PUNCT
ap-4934	168	28	i1	i1	PROPN
ap-4934	168	29	,	,	PUNCT
ap-4934	168	30	i2	i2	PROPN
ap-4934	168	31	,	,	PUNCT
ap-4934	168	32	.	.	PUNCT
ap-4934	168	33	.	.	PUNCT
ap-4934	168	34	.	.	PUNCT
ap-4934	169	1	izx−1	izx−1	PROPN
ap-4934	169	2	)	)	PUNCT
ap-4934	169	3	)	)	PUNCT
ap-4934	170	1	+	+	CCONJ
ap-4934	170	2	v2zx+3(ezx	v2zx+3(ezx	X
ap-4934	170	3	−	−	PROPN
ap-4934	170	4	fezx	fezx	NOUN
ap-4934	170	5	(	(	PUNCT
ap-4934	170	6	v0	v0	PROPN
ap-4934	170	7	,	,	PUNCT
ap-4934	170	8	i1	i1	PROPN
ap-4934	170	9	,	,	PUNCT
ap-4934	170	10	i2	i2	PROPN
ap-4934	170	11	,	,	PUNCT
ap-4934	170	12	.	.	PUNCT
ap-4934	170	13	.	.	PUNCT
ap-4934	170	14	.	.	PUNCT
ap-4934	171	1	izx−1	izx−1	PROPN
ap-4934	171	2	)	)	PUNCT
ap-4934	171	3	)	)	PUNCT
ap-4934	172	1	+	+	CCONJ
ap-4934	172	2	u1(0−	u1(0−	PROPN
ap-4934	172	3	i1	i1	PROPN
ap-4934	172	4	)	)	PUNCT
ap-4934	173	1	+	+	PUNCT
ap-4934	173	2	u2(i1	u2(i1	ADV
ap-4934	173	3	−	−	PROPN
ap-4934	173	4	50	50	NUM
ap-4934	173	5	)	)	PUNCT
ap-4934	174	1	+	+	CCONJ
ap-4934	174	2	u3(25−	u3(25−	NOUN
ap-4934	174	3	i2	i2	PROPN
ap-4934	174	4	)	)	PUNCT
ap-4934	175	1	+	+	PUNCT
ap-4934	175	2	u4(i2	u4(i2	VERB
ap-4934	175	3	−	−	PROPN
ap-4934	175	4	50	50	NUM
ap-4934	175	5	)	)	PUNCT
ap-4934	175	6	+	+	CCONJ
ap-4934	175	7	·	·	PUNCT
ap-4934	175	8	·	·	PUNCT
ap-4934	175	9	·	·	PUNCT
ap-4934	176	1	+	+	NUM
ap-4934	176	2	u2x−1(−50−	u2x−1(−50−	ADV
ap-4934	176	3	ix	ix	ADV
ap-4934	176	4	)	)	PUNCT
ap-4934	177	1	+	+	CCONJ
ap-4934	177	2	u2x(ix	u2x(ix	PROPN
ap-4934	177	3	−	−	PROPN
ap-4934	177	4	50	50	NUM
ap-4934	177	5	)	)	PUNCT
ap-4934	178	1	+	+	CCONJ
ap-4934	178	2	u2x+1(i1	u2x+1(i1	ADJ
ap-4934	178	3	−	−	PROPN
ap-4934	178	4	i2	i2	NOUN
ap-4934	178	5	−	−	PROPN
ap-4934	178	6	25	25	NUM
ap-4934	178	7	)	)	PUNCT
ap-4934	179	1	+	+	CCONJ
ap-4934	179	2	u2x+2(v	u2x+2(v	NUM
ap-4934	179	3	yrp	yrp	NOUN
ap-4934	179	4	en	en	ADP
ap-4934	179	5	−	−	PROPN
ap-4934	179	6	v	v	NUM
ap-4934	179	7	yrp	yrp	NOUN
ap-4934	179	8	en(max	en(max	PROPN
ap-4934	179	9	)	)	PUNCT
ap-4934	179	10	)	)	PUNCT
ap-4934	180	1	+	+	CCONJ
ap-4934	180	2	u2x+3(t0	u2x+3(t0	PROPN
ap-4934	180	3	−	−	NOUN
ap-4934	180	4	tmax	tmax	ADP
ap-4934	180	5	0	0	NUM
ap-4934	180	6	)	)	PUNCT
ap-4934	180	7	,	,	PUNCT
ap-4934	180	8	(	(	PUNCT
ap-4934	180	9	35	35	NUM
ap-4934	180	10	)	)	PUNCT
ap-4934	180	11	and	and	CCONJ
ap-4934	180	12	conditions	condition	NOUN
ap-4934	180	13	:	:	PUNCT
ap-4934	180	14	(	(	PUNCT
ap-4934	180	15	1	1	NUM
ap-4934	180	16	.	.	PUNCT
ap-4934	180	17	)	)	PUNCT
ap-4934	181	1	a	a	DET
ap-4934	181	2	(	(	PUNCT
ap-4934	181	3	z1∑	z1∑	PROPN
ap-4934	181	4	j=1	j=1	NOUN
ap-4934	181	5	(	(	PUNCT
ap-4934	181	6	gj	gj	NOUN
ap-4934	181	7	+	+	PROPN
ap-4934	181	8	djfj	djfj	NOUN
ap-4934	181	9	)	)	PUNCT
ap-4934	181	10	)	)	PUNCT
ap-4934	182	1	−	−	PROPN
ap-4934	182	2	v6	v6	NOUN
ap-4934	182	3	∂fd2	∂fd2	PROPN
ap-4934	182	4	∂i1	∂i1	NOUN
ap-4934	182	5	−	−	NOUN
ap-4934	182	6	v7	v7	X
ap-4934	182	7	∂fe2	∂fe2	NUM
ap-4934	182	8	∂i1	∂i1	NOUN
ap-4934	182	9	−	−	PROPN
ap-4934	183	1	v8	v8	PROPN
ap-4934	183	2	∂fd3	∂fd3	PROPN
ap-4934	183	3	∂i1	∂i1	PROPN
ap-4934	183	4	−	−	PROPN
ap-4934	183	5	v9	v9	PROPN
ap-4934	183	6	∂fe3	∂fe3	NOUN
ap-4934	183	7	∂i1	∂i1	NOUN
ap-4934	183	8	−	−	PROPN
ap-4934	183	9	·	·	PUNCT
ap-4934	183	10	·	·	PUNCT
ap-4934	183	11	·	·	PUNCT
ap-4934	184	1	−	−	NOUN
ap-4934	184	2	v2zx+2	v2zx+2	NOUN
ap-4934	184	3	∂fdzx	∂fdzx	INTJ
ap-4934	184	4	∂i1	∂i1	PROPN
ap-4934	184	5	−	−	PROPN
ap-4934	184	6	v2zx+3	v2zx+3	VERB
ap-4934	184	7	∂fezx	∂fezx	NUM
ap-4934	184	8	∂i1	∂i1	PRON
ap-4934	184	9	−	−	PROPN
ap-4934	184	10	u1	u1	NOUN
ap-4934	184	11	+	+	CCONJ
ap-4934	184	12	u2	u2	NOUN
ap-4934	184	13	+	+	CCONJ
ap-4934	184	14	u2x+1	u2x+1	PROPN
ap-4934	184	15	=	=	SYM
ap-4934	184	16	0	0	NUM
ap-4934	184	17	,	,	PUNCT
ap-4934	184	18	...	...	PUNCT
ap-4934	185	1	a	a	DET
ap-4934	185	2	(	(	PUNCT
ap-4934	185	3	zx∑	zx∑	PROPN
ap-4934	185	4	j	j	NOUN
ap-4934	185	5	=	=	PROPN
ap-4934	185	6	zx−1	zx−1	PROPN
ap-4934	185	7	+	+	PROPN
ap-4934	185	8	1	1	NUM
ap-4934	185	9	(	(	PUNCT
ap-4934	185	10	gj	gj	NOUN
ap-4934	185	11	+	+	NOUN
ap-4934	185	12	djfj	djfj	NOUN
ap-4934	185	13	)	)	PUNCT
ap-4934	185	14	)	)	PUNCT
ap-4934	186	1	−	−	PROPN
ap-4934	186	2	u2x−1	u2x−1	NOUN
ap-4934	186	3	−	−	PROPN
ap-4934	186	4	u2x	u2x	NOUN
ap-4934	186	5	=	=	SYM
ap-4934	186	6	0	0	NUM
ap-4934	186	7	;	;	PUNCT
ap-4934	186	8	(	(	PUNCT
ap-4934	186	9	36	36	NUM
ap-4934	186	10	)	)	PUNCT
ap-4934	186	11	(	(	PUNCT
ap-4934	186	12	2	2	NUM
ap-4934	186	13	.	.	PUNCT
ap-4934	186	14	)	)	PUNCT
ap-4934	186	15	partial	partial	ADJ
ap-4934	186	16	derivatives	derivative	NOUN
ap-4934	186	17	by	by	ADP
ap-4934	186	18	dual	dual	ADJ
ap-4934	186	19	variables	variable	NOUN
ap-4934	186	20	∂l	∂l	VERB
ap-4934	186	21	∂vk	∂vk	NOUN
ap-4934	186	22	and	and	CCONJ
ap-4934	186	23	∂l	∂l	VERB
ap-4934	186	24	∂ui	∂ui	PROPN
ap-4934	186	25	:	:	PUNCT
ap-4934	186	26	lunf	lunf	ADJ
ap-4934	186	27	run	run	NOUN
ap-4934	186	28	−	−	PROPN
ap-4934	186	29	lc	lc	NOUN
ap-4934	186	30	=	=	SYM
ap-4934	186	31	0	0	NUM
ap-4934	186	32	,	,	PUNCT
ap-4934	186	33	v	v	NUM
ap-4934	186	34	yrp	yrp	NOUN
ap-4934	186	35	ex	ex	NOUN
ap-4934	186	36	−	−	PROPN
ap-4934	186	37	1.4	1.4	NUM
ap-4934	186	38	=	=	SYM
ap-4934	186	39	0	0	NUM
ap-4934	186	40	,	,	PUNCT
ap-4934	186	41	d1	d1	PROPN
ap-4934	186	42	−	−	PROPN
ap-4934	186	43	fd1(v0	fd1(v0	NUM
ap-4934	186	44	)	)	PUNCT
ap-4934	186	45	=	=	SYM
ap-4934	186	46	0	0	NUM
ap-4934	186	47	,	,	PUNCT
ap-4934	186	48	e1	e1	VERB
ap-4934	186	49	−	−	NOUN
ap-4934	186	50	fe1(v0	fe1(v0	NUM
ap-4934	186	51	)	)	PUNCT
ap-4934	186	52	=	=	SYM
ap-4934	186	53	0	0	NUM
ap-4934	186	54	,	,	PUNCT
ap-4934	186	55	d2	d2	PROPN
ap-4934	186	56	−	−	PROPN
ap-4934	186	57	fd2(v0	fd2(v0	PROPN
ap-4934	186	58	,	,	PUNCT
ap-4934	186	59	i1	i1	PROPN
ap-4934	186	60	)	)	PUNCT
ap-4934	186	61	=	=	SYM
ap-4934	187	1	0	0	NUM
ap-4934	187	2	,	,	PUNCT
ap-4934	187	3	e2	e2	PROPN
ap-4934	187	4	−	−	PROPN
ap-4934	187	5	fd2(v0	fd2(v0	PROPN
ap-4934	187	6	,	,	PUNCT
ap-4934	187	7	i1	i1	PROPN
ap-4934	187	8	)	)	PUNCT
ap-4934	187	9	=	=	SYM
ap-4934	188	1	0	0	NUM
ap-4934	188	2	,	,	PUNCT
ap-4934	188	3	d3	d3	PROPN
ap-4934	188	4	−	−	PROPN
ap-4934	188	5	fd3(v0	fd3(v0	PROPN
ap-4934	188	6	,	,	PUNCT
ap-4934	188	7	i1	i1	PROPN
ap-4934	188	8	,	,	PUNCT
ap-4934	188	9	i2	i2	PROPN
ap-4934	188	10	)	)	PUNCT
ap-4934	188	11	=	=	SYM
ap-4934	188	12	0	0	NUM
ap-4934	188	13	,	,	PUNCT
ap-4934	188	14	e3	e3	VERB
ap-4934	188	15	−	−	PROPN
ap-4934	188	16	fe3(v0	fe3(v0	PROPN
ap-4934	188	17	,	,	PUNCT
ap-4934	188	18	i1	i1	PROPN
ap-4934	188	19	,	,	PUNCT
ap-4934	188	20	i2	i2	PROPN
ap-4934	188	21	)	)	PUNCT
ap-4934	188	22	=	=	SYM
ap-4934	188	23	0	0	NUM
ap-4934	188	24	,	,	PUNCT
ap-4934	188	25	...	...	PUNCT
ap-4934	188	26	dzx	dzx	NOUN
ap-4934	188	27	−	−	PROPN
ap-4934	188	28	fdzx	fdzx	PROPN
ap-4934	188	29	(	(	PUNCT
ap-4934	188	30	v0	v0	PROPN
ap-4934	188	31	,	,	PUNCT
ap-4934	188	32	i1	i1	PROPN
ap-4934	188	33	,	,	PUNCT
ap-4934	188	34	i2	i2	PROPN
ap-4934	188	35	,	,	PUNCT
ap-4934	188	36	.	.	PUNCT
ap-4934	188	37	.	.	PUNCT
ap-4934	188	38	.	.	PUNCT
ap-4934	189	1	,	,	PUNCT
ap-4934	189	2	izx−1	izx−1	PROPN
ap-4934	189	3	)	)	PUNCT
ap-4934	189	4	=	=	SYM
ap-4934	189	5	0	0	NUM
ap-4934	189	6	,	,	PUNCT
ap-4934	189	7	ezx	ezx	X
ap-4934	189	8	−	−	PROPN
ap-4934	189	9	fezx	fezx	NOUN
ap-4934	189	10	(	(	PUNCT
ap-4934	189	11	v0	v0	PROPN
ap-4934	189	12	,	,	PUNCT
ap-4934	189	13	i1	i1	PROPN
ap-4934	189	14	,	,	PUNCT
ap-4934	189	15	i2	i2	PROPN
ap-4934	189	16	,	,	PUNCT
ap-4934	189	17	.	.	PUNCT
ap-4934	189	18	.	.	PUNCT
ap-4934	190	1	.	.	PUNCT
ap-4934	191	1	,	,	PUNCT
ap-4934	191	2	izx−1	izx−1	PROPN
ap-4934	191	3	)	)	PUNCT
ap-4934	191	4	=	=	SYM
ap-4934	192	1	0	0	NUM
ap-4934	192	2	,	,	PUNCT
ap-4934	192	3	0−	0−	NUM
ap-4934	192	4	i1	i1	X
ap-4934	192	5	=	=	PUNCT
ap-4934	192	6	0	0	NUM
ap-4934	192	7	;	;	PUNCT
ap-4934	192	8	i1	i1	PROPN
ap-4934	192	9	−	−	PROPN
ap-4934	193	1	50	50	NUM
ap-4934	193	2	=	=	SYM
ap-4934	193	3	0	0	NUM
ap-4934	193	4	,	,	PUNCT
ap-4934	193	5	25−	25−	NUM
ap-4934	193	6	i2	i2	NOUN
ap-4934	193	7	=	=	SYM
ap-4934	193	8	0	0	NUM
ap-4934	193	9	,	,	PUNCT
ap-4934	193	10	i2	i2	PROPN
ap-4934	193	11	−	−	PROPN
ap-4934	193	12	50	50	NUM
ap-4934	193	13	=	=	SYM
ap-4934	193	14	0	0	NUM
ap-4934	193	15	,	,	PUNCT
ap-4934	193	16	...	...	PUNCT
ap-4934	194	1	−50−	−50−	ADP
ap-4934	194	2	ix	ix	ADV
ap-4934	194	3	=	=	NOUN
ap-4934	194	4	0	0	NUM
ap-4934	194	5	;	;	PUNCT
ap-4934	194	6	ix	ix	ADP
ap-4934	194	7	−	−	PROPN
ap-4934	194	8	50	50	NUM
ap-4934	194	9	=	=	SYM
ap-4934	194	10	0	0	NUM
ap-4934	194	11	;	;	PUNCT
ap-4934	194	12	i1	i1	PROPN
ap-4934	194	13	−	−	PROPN
ap-4934	194	14	i2	i2	PROPN
ap-4934	194	15	−	−	PROPN
ap-4934	194	16	25	25	NUM
ap-4934	194	17	=	=	SYM
ap-4934	194	18	0	0	NUM
ap-4934	194	19	,	,	PUNCT
ap-4934	194	20	v	v	NOUN
ap-4934	194	21	yrp	yrp	NOUN
ap-4934	194	22	en	en	ADP
ap-4934	194	23	−	−	PROPN
ap-4934	194	24	v	v	NUM
ap-4934	194	25	yrp	yrp	NOUN
ap-4934	194	26	en(max	en(max	PROPN
ap-4934	194	27	)	)	PUNCT
ap-4934	194	28	=	=	PUNCT
ap-4934	194	29	0;t0	0;t0	NUM
ap-4934	195	1	−	−	NOUN
ap-4934	195	2	tmax	tmax	ADP
ap-4934	195	3	0	0	NUM
ap-4934	196	1	=	=	SYM
ap-4934	196	2	0	0	NUM
ap-4934	196	3	;	;	PUNCT
ap-4934	196	4	(	(	PUNCT
ap-4934	196	5	37	37	NUM
ap-4934	196	6	)	)	PUNCT
ap-4934	196	7	(	(	PUNCT
ap-4934	196	8	3	3	NUM
ap-4934	196	9	.	.	PUNCT
ap-4934	196	10	)	)	PUNCT
ap-4934	197	1	the	the	DET
ap-4934	197	2	complementary	complementary	ADJ
ap-4934	197	3	slackness	slackness	NOUN
ap-4934	197	4	condition	condition	NOUN
ap-4934	197	5	(	(	PUNCT
ap-4934	197	6	2nd	2nd	ADJ
ap-4934	197	7	duality	duality	NOUN
ap-4934	197	8	theorem	theorem	VERB
ap-4934	197	9	):	):	PUNCT
ap-4934	197	10	u1(0−	u1(0−	PROPN
ap-4934	197	11	i1	i1	PROPN
ap-4934	197	12	)	)	PUNCT
ap-4934	198	1	=	=	SYM
ap-4934	198	2	0	0	NUM
ap-4934	198	3	,	,	PUNCT
ap-4934	198	4	u2(i1	u2(i1	ADV
ap-4934	198	5	−	−	PROPN
ap-4934	198	6	50	50	NUM
ap-4934	198	7	)	)	PUNCT
ap-4934	198	8	=	=	SYM
ap-4934	198	9	0	0	NUM
ap-4934	198	10	,	,	PUNCT
ap-4934	198	11	u3(25−	u3(25−	NOUN
ap-4934	198	12	i2	i2	PROPN
ap-4934	198	13	)	)	PUNCT
ap-4934	198	14	=	=	SYM
ap-4934	198	15	0	0	NUM
ap-4934	198	16	,	,	PUNCT
ap-4934	198	17	u4(i2	u4(i2	VERB
ap-4934	198	18	−	−	PROPN
ap-4934	198	19	50	50	NUM
ap-4934	198	20	)	)	PUNCT
ap-4934	198	21	=	=	SYM
ap-4934	198	22	0	0	NUM
ap-4934	198	23	,	,	PUNCT
ap-4934	198	24	...	...	PUNCT
ap-4934	199	1	u2x−1(−50−	u2x−1(−50−	INTJ
ap-4934	199	2	ix)−	ix)−	NOUN
ap-4934	199	3	0	0	NUM
ap-4934	200	1	=	=	SYM
ap-4934	200	2	0	0	NUM
ap-4934	200	3	,	,	PUNCT
ap-4934	200	4	u2x(ix	u2x(ix	PROPN
ap-4934	200	5	−	−	PROPN
ap-4934	200	6	50	50	NUM
ap-4934	200	7	)	)	PUNCT
ap-4934	200	8	=	=	SYM
ap-4934	200	9	0	0	NUM
ap-4934	200	10	,	,	PUNCT
ap-4934	200	11	u2x+1(i1	u2x+1(i1	PROPN
ap-4934	200	12	−	−	PROPN
ap-4934	200	13	i2	i2	PROPN
ap-4934	200	14	−	−	PROPN
ap-4934	200	15	25	25	NUM
ap-4934	200	16	)	)	PUNCT
ap-4934	200	17	=	=	SYM
ap-4934	201	1	0	0	NUM
ap-4934	201	2	,	,	PUNCT
ap-4934	201	3	376	376	NUM
ap-4934	201	4	vol	vol	NOUN
ap-4934	201	5	.	.	PUNCT
ap-4934	202	1	58	58	NUM
ap-4934	202	2	no	no	INTJ
ap-4934	202	3	.	.	PUNCT
ap-4934	203	1	6/2018	6/2018	NUM
ap-4934	203	2	example	example	NOUN
ap-4934	203	3	of	of	ADP
ap-4934	203	4	an	an	DET
ap-4934	203	5	article	article	NOUN
ap-4934	203	6	with	with	ADP
ap-4934	203	7	xa	xa	PROPN
ap-4934	203	8	long	long	ADJ
ap-4934	203	9	title	title	NOUN
ap-4934	203	10	u2x+2(v	u2x+2(v	PROPN
ap-4934	203	11	yrp	yrp	NOUN
ap-4934	203	12	en	en	ADP
ap-4934	203	13	−	−	PROPN
ap-4934	203	14	v	v	NUM
ap-4934	203	15	yrp	yrp	NOUN
ap-4934	203	16	en(max	en(max	PROPN
ap-4934	203	17	)	)	PUNCT
ap-4934	203	18	)	)	PUNCT
ap-4934	204	1	=	=	SYM
ap-4934	204	2	0	0	NUM
ap-4934	204	3	,	,	PUNCT
ap-4934	204	4	u2x+3(t0	u2x+3(t0	NOUN
ap-4934	204	5	−	−	NOUN
ap-4934	204	6	tmax	tmax	ADP
ap-4934	204	7	0	0	NUM
ap-4934	204	8	)	)	PUNCT
ap-4934	204	9	=	=	SYM
ap-4934	204	10	0	0	NUM
ap-4934	204	11	;	;	PUNCT
ap-4934	204	12	(	(	PUNCT
ap-4934	204	13	38	38	NUM
ap-4934	204	14	)	)	PUNCT
ap-4934	204	15	(	(	PUNCT
ap-4934	204	16	4	4	NUM
ap-4934	204	17	.	.	PUNCT
ap-4934	204	18	)	)	PUNCT
ap-4934	205	1	ui	ui	PROPN
ap-4934	205	2	≥	≥	NOUN
ap-4934	205	3	0	0	NUM
ap-4934	205	4	.	.	PUNCT
ap-4934	206	1	(	(	PUNCT
ap-4934	206	2	39	39	NUM
ap-4934	206	3	)	)	PUNCT
ap-4934	206	4	according	accord	VERB
ap-4934	206	5	to	to	ADP
ap-4934	206	6	[	[	X
ap-4934	206	7	8	8	NUM
ap-4934	206	8	]	]	PUNCT
ap-4934	206	9	,	,	PUNCT
ap-4934	206	10	the	the	DET
ap-4934	206	11	solution	solution	NOUN
ap-4934	206	12	should	should	AUX
ap-4934	206	13	start	start	VERB
ap-4934	206	14	with	with	ADP
ap-4934	206	15	a	a	DET
ap-4934	206	16	linear	linear	ADJ
ap-4934	206	17	search	search	NOUN
ap-4934	206	18	of	of	ADP
ap-4934	206	19	all	all	DET
ap-4934	206	20	possible	possible	ADJ
ap-4934	206	21	combinations	combination	NOUN
ap-4934	206	22	of	of	ADP
ap-4934	206	23	equality	equality	NOUN
ap-4934	206	24	to	to	ADP
ap-4934	206	25	zero	zero	NUM
ap-4934	206	26	for	for	ADP
ap-4934	206	27	multipliers	multiplier	NOUN
ap-4934	206	28	of	of	ADP
ap-4934	206	29	group	group	PROPN
ap-4934	206	30	iii	iii	PROPN
ap-4934	206	31	.	.	PUNCT
ap-4934	207	1	at	at	ADP
ap-4934	207	2	first	first	ADV
ap-4934	207	3	,	,	PUNCT
ap-4934	207	4	let	let	VERB
ap-4934	207	5	us	we	PRON
ap-4934	207	6	suppose	suppose	VERB
ap-4934	207	7	that	that	SCONJ
ap-4934	207	8	dual	dual	ADJ
ap-4934	207	9	variables	variable	NOUN
ap-4934	207	10	are	be	AUX
ap-4934	207	11	equal	equal	ADJ
ap-4934	207	12	to	to	ADP
ap-4934	207	13	zero	zero	NUM
ap-4934	207	14	or	or	CCONJ
ap-4934	207	15	not	not	PART
ap-4934	207	16	equal	equal	ADJ
ap-4934	207	17	to	to	ADP
ap-4934	207	18	zero	zero	NUM
ap-4934	207	19	:	:	PUNCT
ap-4934	207	20	ui	ui	PROPN
ap-4934	207	21	=	=	SYM
ap-4934	207	22	0	0	NUM
ap-4934	207	23	(	(	PUNCT
ap-4934	207	24	∀i	∀i	NOUN
ap-4934	207	25	)	)	PUNCT
ap-4934	207	26	then	then	ADV
ap-4934	207	27	one	one	NUM
ap-4934	207	28	out	out	ADP
ap-4934	207	29	of	of	ADP
ap-4934	207	30	ui	ui	NOUN
ap-4934	207	31	=	=	NOUN
ap-4934	207	32	0	0	NUM
ap-4934	207	33	,	,	PUNCT
ap-4934	207	34	the	the	DET
ap-4934	207	35	others	other	NOUN
ap-4934	207	36	are	be	AUX
ap-4934	207	37	not	not	PART
ap-4934	207	38	equal	equal	ADJ
ap-4934	207	39	to	to	ADP
ap-4934	207	40	zero	zero	NUM
ap-4934	207	41	,	,	PUNCT
ap-4934	207	42	etc	etc	X
ap-4934	207	43	.	.	X
ap-4934	208	1	3	3	X
ap-4934	208	2	.	.	X
ap-4934	208	3	conclusions	conclusion	NOUN
ap-4934	208	4	the	the	DET
ap-4934	208	5	solution	solution	NOUN
ap-4934	208	6	to	to	ADP
ap-4934	208	7	the	the	DET
ap-4934	208	8	optimization	optimization	NOUN
ap-4934	208	9	task	task	NOUN
ap-4934	208	10	with	with	ADP
ap-4934	208	11	limitations	limitation	NOUN
ap-4934	208	12	presented	present	VERB
ap-4934	208	13	in	in	ADP
ap-4934	208	14	the	the	DET
ap-4934	208	15	study	study	NOUN
ap-4934	208	16	will	will	AUX
ap-4934	208	17	make	make	VERB
ap-4934	208	18	it	it	PRON
ap-4934	208	19	possible	possible	ADJ
ap-4934	208	20	to	to	PART
ap-4934	208	21	minimize	minimize	VERB
ap-4934	208	22	the	the	DET
ap-4934	208	23	demand	demand	NOUN
ap-4934	208	24	for	for	ADP
ap-4934	208	25	the	the	DET
ap-4934	208	26	capacity	capacity	NOUN
ap-4934	208	27	of	of	ADP
ap-4934	208	28	braking	brake	VERB
ap-4934	208	29	facilities	facility	NOUN
ap-4934	208	30	and	and	CCONJ
ap-4934	208	31	implement	implement	VERB
ap-4934	208	32	the	the	DET
ap-4934	208	33	technology	technology	NOUN
ap-4934	208	34	of	of	ADP
ap-4934	208	35	guided	guide	VERB
ap-4934	208	36	gravity	gravity	NOUN
ap-4934	208	37	regulation	regulation	NOUN
ap-4934	208	38	of	of	ADP
ap-4934	208	39	the	the	DET
ap-4934	208	40	cut	cut	NOUN
ap-4934	208	41	speed	speed	NOUN
ap-4934	208	42	.	.	PUNCT
ap-4934	209	1	the	the	DET
ap-4934	209	2	authors	author	NOUN
ap-4934	209	3	believe	believe	VERB
ap-4934	209	4	that	that	SCONJ
ap-4934	209	5	the	the	DET
ap-4934	209	6	implementation	implementation	NOUN
ap-4934	209	7	of	of	ADP
ap-4934	209	8	the	the	DET
ap-4934	209	9	technology	technology	NOUN
ap-4934	209	10	will	will	AUX
ap-4934	209	11	encourage	encourage	VERB
ap-4934	209	12	the	the	DET
ap-4934	209	13	decrease	decrease	NOUN
ap-4934	209	14	of	of	ADP
ap-4934	209	15	operational	operational	ADJ
ap-4934	209	16	costs	cost	NOUN
ap-4934	209	17	for	for	ADP
ap-4934	209	18	a	a	DET
ap-4934	209	19	refund	refund	NOUN
ap-4934	209	20	of	of	ADP
ap-4934	209	21	a	a	DET
ap-4934	209	22	car	car	NOUN
ap-4934	209	23	and	and	CCONJ
ap-4934	209	24	freight	freight	NOUN
ap-4934	209	25	damages	damage	NOUN
ap-4934	209	26	(	(	PUNCT
ap-4934	209	27	due	due	ADP
ap-4934	209	28	to	to	ADP
ap-4934	209	29	better	well	ADJ
ap-4934	209	30	conditions	condition	NOUN
ap-4934	209	31	improving	improve	VERB
ap-4934	209	32	the	the	DET
ap-4934	209	33	quality	quality	NOUN
ap-4934	209	34	of	of	ADP
ap-4934	209	35	the	the	DET
ap-4934	209	36	cut	cut	ADJ
ap-4934	209	37	rolling	rolling	ADJ
ap-4934	209	38	speed	speed	NOUN
ap-4934	209	39	regulation	regulation	NOUN
ap-4934	209	40	)	)	PUNCT
ap-4934	209	41	,	,	PUNCT
ap-4934	209	42	and	and	CCONJ
ap-4934	209	43	for	for	ADP
ap-4934	209	44	electricity	electricity	NOUN
ap-4934	209	45	needed	need	VERB
ap-4934	209	46	for	for	ADP
ap-4934	209	47	this	this	DET
ap-4934	209	48	regulation	regulation	NOUN
ap-4934	209	49	(	(	PUNCT
ap-4934	209	50	a	a	DET
ap-4934	209	51	possible	possible	ADJ
ap-4934	209	52	decrease	decrease	NOUN
ap-4934	209	53	of	of	ADP
ap-4934	209	54	wind	wind	NOUN
ap-4934	209	55	consumption	consumption	NOUN
ap-4934	209	56	by	by	ADP
ap-4934	209	57	car	car	NOUN
ap-4934	209	58	retarders	retarder	NOUN
ap-4934	209	59	)	)	PUNCT
ap-4934	209	60	.	.	PUNCT
ap-4934	210	1	besides	besides	SCONJ
ap-4934	210	2	,	,	PUNCT
ap-4934	210	3	it	it	PRON
ap-4934	210	4	will	will	AUX
ap-4934	210	5	reduce	reduce	VERB
ap-4934	210	6	additional	additional	ADJ
ap-4934	210	7	charges	charge	NOUN
ap-4934	210	8	for	for	ADP
ap-4934	210	9	demurrages	demurrage	NOUN
ap-4934	210	10	caused	cause	VERB
ap-4934	210	11	by	by	ADP
ap-4934	210	12	waiting	wait	VERB
ap-4934	210	13	for	for	ADP
ap-4934	210	14	breaking	breaking	NOUN
ap-4934	210	15	-	-	PUNCT
ap-4934	210	16	up	up	NOUN
ap-4934	210	17	at	at	ADP
ap-4934	210	18	arrival	arrival	NOUN
ap-4934	210	19	yards	yard	NOUN
ap-4934	210	20	(	(	PUNCT
ap-4934	210	21	due	due	ADP
ap-4934	210	22	to	to	ADP
ap-4934	210	23	a	a	DET
ap-4934	210	24	possible	possible	ADJ
ap-4934	210	25	reduction	reduction	NOUN
ap-4934	210	26	of	of	ADP
ap-4934	210	27	hump	hump	NOUN
ap-4934	210	28	intervals	interval	NOUN
ap-4934	210	29	and	and	CCONJ
ap-4934	210	30	lower	low	ADJ
ap-4934	210	31	volume	volume	NOUN
ap-4934	210	32	of	of	ADP
ap-4934	210	33	marshalling	marshalling	NOUN
ap-4934	210	34	works	work	NOUN
ap-4934	210	35	for	for	ADP
ap-4934	210	36	pulling	pull	VERB
ap-4934	210	37	cars	car	NOUN
ap-4934	210	38	with	with	ADP
ap-4934	210	39	a	a	DET
ap-4934	210	40	subsequent	subsequent	ADJ
ap-4934	210	41	remedy	remedy	NOUN
ap-4934	210	42	of	of	ADP
ap-4934	210	43	the	the	DET
ap-4934	210	44	consequences	consequence	NOUN
ap-4934	210	45	)	)	PUNCT
ap-4934	210	46	.	.	PUNCT
ap-4934	211	1	references	reference	NOUN
ap-4934	211	2	[	[	X
ap-4934	211	3	1	1	NUM
ap-4934	211	4	]	]	PUNCT
ap-4934	211	5	m.	m.	NOUN
ap-4934	211	6	i.	i.	PROPN
ap-4934	211	7	kutsenko	kutsenko	PROPN
ap-4934	211	8	,	,	PUNCT
ap-4934	211	9	i.	i.	PROPN
ap-4934	211	10	v.	v.	PROPN
ap-4934	211	11	berestov	berestov	PROPN
ap-4934	211	12	,	,	PUNCT
ap-4934	211	13	o.	o.	PROPN
ap-4934	211	14	m.	m.	PROPN
ap-4934	211	15	ohar	ohar	PROPN
ap-4934	211	16	,	,	PUNCT
ap-4934	211	17	o.	o.	PROPN
ap-4934	211	18	b.	b.	PROPN
ap-4934	211	19	akhiiezer	akhiiezer	PROPN
ap-4934	211	20	.	.	PUNCT
ap-4934	212	1	as	as	ADP
ap-4934	212	2	for	for	ADP
ap-4934	212	3	the	the	DET
ap-4934	212	4	question	question	NOUN
ap-4934	212	5	of	of	ADP
ap-4934	212	6	development	development	NOUN
ap-4934	212	7	of	of	ADP
ap-4934	212	8	methodology	methodology	NOUN
ap-4934	212	9	of	of	ADP
ap-4934	212	10	complex	complex	ADJ
ap-4934	212	11	calculation	calculation	NOUN
ap-4934	212	12	of	of	ADP
ap-4934	212	13	optimal	optimal	ADJ
ap-4934	212	14	structural	structural	ADJ
ap-4934	212	15	parameters	parameter	NOUN
ap-4934	212	16	of	of	ADP
ap-4934	212	17	gravity	gravity	NOUN
ap-4934	212	18	hump	hump	NOUN
ap-4934	212	19	.	.	PUNCT
ap-4934	213	1	eastern	eastern	ADJ
ap-4934	213	2	-	-	PUNCT
ap-4934	213	3	european	european	ADJ
ap-4934	213	4	journal	journal	NOUN
ap-4934	213	5	of	of	ADP
ap-4934	213	6	enterprise	enterprise	NOUN
ap-4934	213	7	technologies	technology	NOUN
ap-4934	213	8	(	(	PUNCT
ap-4934	213	9	2/3):56–60	2/3):56–60	NUM
ap-4934	213	10	,	,	PUNCT
ap-4934	213	11	2009	2009	NUM
ap-4934	213	12	.	.	PUNCT
ap-4934	214	1	[	[	X
ap-4934	214	2	2	2	X
ap-4934	214	3	]	]	PUNCT
ap-4934	214	4	v.	v.	PROPN
ap-4934	214	5	i.	i.	PROPN
ap-4934	214	6	bobrovskiy	bobrovskiy	PROPN
ap-4934	214	7	,	,	PUNCT
ap-4934	214	8	a.	a.	NOUN
ap-4934	214	9	kolesnik	kolesnik	NOUN
ap-4934	214	10	,	,	PUNCT
ap-4934	214	11	a.	a.	PROPN
ap-4934	214	12	s.	s.	PROPN
ap-4934	214	13	dorosh	dorosh	PROPN
ap-4934	214	14	.	.	PUNCT
ap-4934	215	1	the	the	DET
ap-4934	215	2	perfection	perfection	NOUN
ap-4934	215	3	of	of	ADP
ap-4934	215	4	construction	construction	NOUN
ap-4934	215	5	of	of	ADP
ap-4934	215	6	plan	plan	NOUN
ap-4934	215	7	of	of	ADP
ap-4934	215	8	the	the	DET
ap-4934	215	9	track	track	NOUN
ap-4934	215	10	development	development	NOUN
ap-4934	215	11	of	of	ADP
ap-4934	215	12	humping	hump	VERB
ap-4934	215	13	access	access	NOUN
ap-4934	215	14	door	door	NOUN
ap-4934	215	15	.	.	PUNCT
ap-4934	216	1	transport	transport	NOUN
ap-4934	216	2	systems	system	NOUN
ap-4934	216	3	and	and	CCONJ
ap-4934	216	4	transportations	transportation	NOUN
ap-4934	216	5	technologies	technology	NOUN
ap-4934	216	6	:	:	PUNCT
ap-4934	216	7	collection	collection	NOUN
ap-4934	216	8	of	of	ADP
ap-4934	216	9	research	research	NOUN
ap-4934	216	10	papers	paper	NOUN
ap-4934	216	11	dnipropetrovsk	dnipropetrovsk	VERB
ap-4934	216	12	national	national	PROPN
ap-4934	216	13	university	university	PROPN
ap-4934	216	14	of	of	ADP
ap-4934	216	15	railway	railway	NOUN
ap-4934	216	16	transport	transport	NOUN
ap-4934	216	17	named	name	VERB
ap-4934	216	18	by	by	ADP
ap-4934	216	19	academic	academic	PROPN
ap-4934	216	20	v	v	X
ap-4934	216	21	lazaryan	lazaryan	ADJ
ap-4934	216	22	(	(	PUNCT
ap-4934	216	23	1):27–33	1):27–33	NUM
ap-4934	216	24	,	,	PUNCT
ap-4934	216	25	2001	2001	NUM
ap-4934	216	26	.	.	PUNCT
ap-4934	217	1	[	[	X
ap-4934	217	2	3	3	X
ap-4934	217	3	]	]	X
ap-4934	217	4	e.	e.	PROPN
ap-4934	217	5	a.	a.	PROPN
ap-4934	217	6	mamaev	mamaev	PROPN
ap-4934	217	7	.	.	PUNCT
ap-4934	218	1	the	the	DET
ap-4934	218	2	perfection	perfection	NOUN
ap-4934	218	3	of	of	ADP
ap-4934	218	4	construction	construction	NOUN
ap-4934	218	5	of	of	ADP
ap-4934	218	6	plan	plan	NOUN
ap-4934	218	7	of	of	ADP
ap-4934	218	8	the	the	DET
ap-4934	218	9	track	track	NOUN
ap-4934	218	10	development	development	NOUN
ap-4934	218	11	of	of	ADP
ap-4934	218	12	humping	hump	VERB
ap-4934	218	13	access	access	NOUN
ap-4934	218	14	door	door	NOUN
ap-4934	218	15	,	,	PUNCT
ap-4934	218	16	vol.11	vol.11	PROPN
ap-4934	218	17	.	.	PROPN
ap-4934	218	18	international	international	ADJ
ap-4934	218	19	journal	journal	PROPN
ap-4934	218	20	of	of	ADP
ap-4934	218	21	applied	apply	VERB
ap-4934	218	22	engineering	engineering	NOUN
ap-4934	218	23	research	research	NOUN
ap-4934	218	24	(	(	PUNCT
ap-4934	218	25	23):11515–11524	23):11515–11524	NUM
ap-4934	218	26	,	,	PUNCT
ap-4934	218	27	2016	2016	NUM
ap-4934	218	28	.	.	PUNCT
ap-4934	219	1	[	[	X
ap-4934	219	2	4	4	X
ap-4934	219	3	]	]	PUNCT
ap-4934	219	4	s.	s.	PROPN
ap-4934	219	5	a.	a.	PROPN
ap-4934	219	6	bessonenko	bessonenko	PROPN
ap-4934	219	7	.	.	PUNCT
ap-4934	220	1	the	the	DET
ap-4934	220	2	optimization	optimization	NOUN
ap-4934	220	3	of	of	ADP
ap-4934	220	4	basic	basic	ADJ
ap-4934	220	5	parameters	parameter	NOUN
ap-4934	220	6	of	of	ADP
ap-4934	220	7	gravity	gravity	NOUN
ap-4934	220	8	humps	hump	NOUN
ap-4934	220	9	.	.	PUNCT
ap-4934	221	1	the	the	DET
ap-4934	221	2	perfection	perfection	NOUN
ap-4934	221	3	of	of	ADP
ap-4934	221	4	railways	railway	NOUN
ap-4934	221	5	operating	operate	VERB
ap-4934	221	6	work	work	NOUN
ap-4934	221	7	,	,	PUNCT
ap-4934	221	8	novosibirsk	novosibirsk	PROPN
ap-4934	221	9	(	(	PUNCT
ap-4934	221	10	1):4–25	1):4–25	NUM
ap-4934	221	11	,	,	PUNCT
ap-4934	221	12	2008	2008	NUM
ap-4934	221	13	.	.	PUNCT
ap-4934	222	1	[	[	X
ap-4934	222	2	5	5	X
ap-4934	222	3	]	]	PUNCT
ap-4934	222	4	v.	v.	PROPN
ap-4934	222	5	a.	a.	PROPN
ap-4934	222	6	kobzev	kobzev	PROPN
ap-4934	222	7	.	.	PUNCT
ap-4934	223	1	the	the	DET
ap-4934	223	2	state	state	NOUN
ap-4934	223	3	and	and	CCONJ
ap-4934	223	4	prospects	prospect	NOUN
ap-4934	223	5	of	of	ADP
ap-4934	223	6	braking	brake	VERB
ap-4934	223	7	hill	hill	NOUN
ap-4934	223	8	technique	technique	NOUN
ap-4934	223	9	development	development	NOUN
ap-4934	223	10	.	.	PUNCT
ap-4934	224	1	automation	automation	NOUN
ap-4934	224	2	,	,	PUNCT
ap-4934	224	3	connection	connection	NOUN
ap-4934	224	4	,	,	PUNCT
ap-4934	224	5	informatics	informatic	NOUN
ap-4934	224	6	(	(	PUNCT
ap-4934	224	7	11):2–5	11):2–5	NUM
ap-4934	224	8	,	,	PUNCT
ap-4934	224	9	2004	2004	NUM
ap-4934	224	10	.	.	PUNCT
ap-4934	225	1	[	[	X
ap-4934	225	2	6	6	NUM
ap-4934	225	3	]	]	PUNCT
ap-4934	225	4	a.	a.	NOUN
ap-4934	225	5	n.	n.	PROPN
ap-4934	225	6	shabelnikov	shabelnikov	PROPN
ap-4934	225	7	.	.	PUNCT
ap-4934	226	1	the	the	DET
ap-4934	226	2	development	development	NOUN
ap-4934	226	3	of	of	ADP
ap-4934	226	4	theory	theory	NOUN
ap-4934	226	5	and	and	CCONJ
ap-4934	226	6	methods	method	NOUN
ap-4934	226	7	of	of	ADP
ap-4934	226	8	automation	automation	NOUN
ap-4934	226	9	of	of	ADP
ap-4934	226	10	management	management	NOUN
ap-4934	226	11	with	with	ADP
ap-4934	226	12	difficult	difficult	ADJ
ap-4934	226	13	processes	process	NOUN
ap-4934	226	14	at	at	ADP
ap-4934	226	15	the	the	DET
ap-4934	226	16	marshalling	marshalling	NOUN
ap-4934	226	17	yard	yard	NOUN
ap-4934	226	18	.	.	PUNCT
ap-4934	227	1	first	first	ADJ
ap-4934	227	2	printing	printing	NOUN
ap-4934	227	3	.	.	PUNCT
ap-4934	228	1	russian	russian	ADJ
ap-4934	228	2	state	state	PROPN
ap-4934	228	3	technical	technical	PROPN
ap-4934	228	4	university	university	PROPN
ap-4934	228	5	,	,	PUNCT
ap-4934	228	6	moscow	moscow	PROPN
ap-4934	228	7	,	,	PUNCT
ap-4934	228	8	2005	2005	NUM
ap-4934	228	9	.	.	PUNCT
ap-4934	229	1	[	[	X
ap-4934	229	2	7	7	X
ap-4934	229	3	]	]	X
ap-4934	229	4	v.	v.	PROPN
ap-4934	229	5	i.	i.	PROPN
ap-4934	229	6	bobrovskiy	bobrovskiy	PROPN
ap-4934	229	7	,	,	PUNCT
ap-4934	229	8	d.	d.	PROPN
ap-4934	229	9	n.	n.	PROPN
ap-4934	229	10	kozachenko	kozachenko	PROPN
ap-4934	229	11	,	,	PUNCT
ap-4934	229	12	n.	n.	PROPN
ap-4934	229	13	p.	p.	PROPN
ap-4934	229	14	bozhko	bozhko	PROPN
ap-4934	229	15	,	,	PUNCT
ap-4934	229	16	et	et	PROPN
ap-4934	229	17	al	al	PROPN
ap-4934	229	18	.	.	PUNCT
ap-4934	230	1	the	the	DET
ap-4934	230	2	optimization	optimization	NOUN
ap-4934	230	3	of	of	ADP
ap-4934	230	4	the	the	DET
ap-4934	230	5	modes	mode	NOUN
ap-4934	230	6	of	of	ADP
ap-4934	230	7	uncoupling	uncouple	VERB
ap-4934	230	8	braking	braking	NOUN
ap-4934	230	9	on	on	ADP
ap-4934	230	10	gravity	gravity	NOUN
ap-4934	230	11	humps	hump	NOUN
ap-4934	230	12	.	.	PUNCT
ap-4934	231	1	first	first	ADJ
ap-4934	231	2	printing	printing	NOUN
ap-4934	231	3	.	.	PUNCT
ap-4934	232	1	makovets	makovet	NOUN
ap-4934	232	2	,	,	PUNCT
ap-4934	232	3	dnepropetrovsk	dnepropetrovsk	NOUN
ap-4934	232	4	,	,	PUNCT
ap-4934	232	5	2010	2010	NUM
ap-4934	232	6	.	.	PUNCT
ap-4934	233	1	[	[	X
ap-4934	233	2	8	8	X
ap-4934	233	3	]	]	PUNCT
ap-4934	233	4	t.	t.	PROPN
ap-4934	233	5	a.	a.	PROPN
ap-4934	233	6	hemdi	hemdi	PROPN
ap-4934	233	7	.	.	PUNCT
ap-4934	234	1	introduction	introduction	NOUN
ap-4934	234	2	to	to	ADP
ap-4934	234	3	the	the	DET
ap-4934	234	4	analysis	analysis	NOUN
ap-4934	234	5	of	of	ADP
ap-4934	234	6	operations	operation	NOUN
ap-4934	234	7	.	.	PUNCT
ap-4934	235	1	first	first	ADJ
ap-4934	235	2	printing	printing	NOUN
ap-4934	235	3	.	.	PUNCT
ap-4934	236	1	vilyams	vilyams	PROPN
ap-4934	236	2	,	,	PUNCT
ap-4934	236	3	st	st	PROPN
ap-4934	236	4	-	-	PUNCT
ap-4934	236	5	peterburg	peterburg	NOUN
ap-4934	236	6	,	,	PUNCT
ap-4934	236	7	2007	2007	NUM
ap-4934	236	8	.	.	PUNCT
ap-4934	237	1	377	377	NUM
ap-4934	237	2	acta	acta	PROPN
ap-4934	237	3	polytechnica	polytechnica	PROPN
ap-4934	237	4	58(6):370–377	58(6):370–377	PROPN
ap-4934	237	5	,	,	PUNCT
ap-4934	237	6	2018	2018	NUM
ap-4934	237	7	1	1	NUM
ap-4934	237	8	introduction	introduction	NOUN
ap-4934	237	9	2	2	NUM
ap-4934	237	10	a	a	DET
ap-4934	237	11	method	method	NOUN
ap-4934	237	12	of	of	ADP
ap-4934	237	13	complex	complex	ADJ
ap-4934	237	14	calculation	calculation	NOUN
ap-4934	237	15	of	of	ADP
ap-4934	237	16	rational	rational	ADJ
ap-4934	237	17	structural	structural	ADJ
ap-4934	237	18	parameters	parameter	NOUN
ap-4934	237	19	of	of	ADP
ap-4934	237	20	railway	railway	NOUN
ap-4934	237	21	humps	hump	NOUN
ap-4934	237	22	3	3	NUM
ap-4934	237	23	conclusions	conclusion	NOUN
ap-4934	237	24	references	reference	NOUN