id	sid	tid	token	lemma	pos
ajird-838	1	1	american	american	PROPN
ajird-838	1	2	journal	journal	PROPN
ajird-838	1	3	of	of	ADP
ajird-838	1	4	interdisciplinary	interdisciplinary	ADJ
ajird-838	1	5	research	research	NOUN
ajird-838	1	6	and	and	CCONJ
ajird-838	1	7	development	development	NOUN
ajird-838	1	8	issn	issn	PROPN
ajird-838	1	9	online	online	NOUN
ajird-838	1	10	:	:	PUNCT
ajird-838	1	11	2771	2771	NUM
ajird-838	1	12	-	-	SYM
ajird-838	1	13	8948	8948	NUM
ajird-838	1	14	website	website	NOUN
ajird-838	1	15	:	:	PUNCT
ajird-838	1	16	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-838	1	17	volume	volume	NOUN
ajird-838	1	18	22	22	NUM
ajird-838	1	19	,	,	PUNCT
ajird-838	1	20	november	november	PROPN
ajird-838	1	21	,	,	PUNCT
ajird-838	1	22	2023	2023	NUM
ajird-838	1	23	114	114	NUM
ajird-838	2	1	|	|	ADV
ajird-838	2	2	p	p	NOUN
ajird-838	2	3	a	a	DET
ajird-838	2	4	g	g	NOUN
ajird-838	2	5	e	e	NOUN
ajird-838	2	6	role	role	NOUN
ajird-838	2	7	of	of	ADP
ajird-838	2	8	differential	differential	ADJ
ajird-838	2	9	equations	equation	NOUN
ajird-838	2	10	in	in	ADP
ajird-838	2	11	solving	solve	VERB
ajird-838	2	12	economic	economic	ADJ
ajird-838	2	13	problems	problem	NOUN
ajird-838	2	14	usarov	usarov	VERB
ajird-838	2	15	dzhurabek	dzhurabek	PROPN
ajird-838	2	16	abdunazirovich	abdunazirovich	PROPN
ajird-838	2	17	institute	institute	PROPN
ajird-838	2	18	of	of	ADP
ajird-838	2	19	tmc	tmc	PROPN
ajird-838	2	20	,	,	PUNCT
ajird-838	2	21	technology	technology	NOUN
ajird-838	2	22	,	,	PUNCT
ajird-838	2	23	management	management	NOUN
ajird-838	2	24	and	and	CCONJ
ajird-838	2	25	communication	communication	NOUN
ajird-838	2	26	in	in	ADP
ajird-838	2	27	tashkent	tashkent	NOUN
ajird-838	2	28	,	,	PUNCT
ajird-838	2	29	head	head	NOUN
ajird-838	2	30	of	of	ADP
ajird-838	2	31	the	the	DET
ajird-838	2	32	department	department	NOUN
ajird-838	2	33	of	of	ADP
ajird-838	2	34	applied	apply	VERB
ajird-838	2	35	mathematics	mathematic	NOUN
ajird-838	2	36	abstract	abstract	NOUN
ajird-838	2	37	:	:	PUNCT
ajird-838	2	38	the	the	DET
ajird-838	2	39	article	article	NOUN
ajird-838	2	40	analyzed	analyze	VERB
ajird-838	2	41	research	research	NOUN
ajird-838	2	42	in	in	ADP
ajird-838	2	43	the	the	DET
ajird-838	2	44	field	field	NOUN
ajird-838	2	45	of	of	ADP
ajird-838	2	46	models	model	NOUN
ajird-838	2	47	and	and	CCONJ
ajird-838	2	48	equations	equation	NOUN
ajird-838	2	49	used	use	VERB
ajird-838	2	50	to	to	PART
ajird-838	2	51	analyze	analyze	VERB
ajird-838	2	52	economic	economic	ADJ
ajird-838	2	53	growth	growth	NOUN
ajird-838	2	54	,	,	PUNCT
ajird-838	2	55	investment	investment	NOUN
ajird-838	2	56	,	,	PUNCT
ajird-838	2	57	consumption	consumption	NOUN
ajird-838	2	58	and	and	CCONJ
ajird-838	2	59	other	other	ADJ
ajird-838	2	60	important	important	ADJ
ajird-838	2	61	aspects	aspect	NOUN
ajird-838	2	62	of	of	ADP
ajird-838	2	63	economics	economic	NOUN
ajird-838	2	64	.	.	PUNCT
ajird-838	3	1	,	,	PUNCT
ajird-838	3	2	as	as	ADV
ajird-838	3	3	well	well	ADV
ajird-838	3	4	as	as	ADP
ajird-838	3	5	the	the	DET
ajird-838	3	6	role	role	NOUN
ajird-838	3	7	of	of	ADP
ajird-838	3	8	differential	differential	ADJ
ajird-838	3	9	equations	equation	NOUN
ajird-838	3	10	in	in	ADP
ajird-838	3	11	solving	solve	VERB
ajird-838	3	12	economic	economic	ADJ
ajird-838	3	13	problems	problem	NOUN
ajird-838	3	14	.	.	PUNCT
ajird-838	4	1	keywords	keyword	NOUN
ajird-838	4	2	:	:	PUNCT
ajird-838	4	3	mathematics	mathematic	NOUN
ajird-838	4	4	,	,	PUNCT
ajird-838	4	5	optimization	optimization	NOUN
ajird-838	4	6	,	,	PUNCT
ajird-838	4	7	differential	differential	NOUN
ajird-838	4	8	,	,	PUNCT
ajird-838	4	9	equation	equation	NOUN
ajird-838	4	10	,	,	PUNCT
ajird-838	4	11	economic	economic	ADJ
ajird-838	4	12	,	,	PUNCT
ajird-838	4	13	models	model	NOUN
ajird-838	4	14	.	.	PUNCT
ajird-838	5	1	introduction	introduction	NOUN
ajird-838	5	2	mathematics	mathematics	PROPN
ajird-838	5	3	plays	play	VERB
ajird-838	5	4	an	an	DET
ajird-838	5	5	important	important	ADJ
ajird-838	5	6	role	role	NOUN
ajird-838	5	7	in	in	ADP
ajird-838	5	8	solving	solve	VERB
ajird-838	5	9	optimization	optimization	NOUN
ajird-838	5	10	models	model	NOUN
ajird-838	5	11	of	of	ADP
ajird-838	5	12	economics	economic	NOUN
ajird-838	5	13	.	.	PUNCT
ajird-838	6	1	optimization	optimization	NOUN
ajird-838	6	2	models	model	NOUN
ajird-838	6	3	help	help	VERB
ajird-838	6	4	to	to	PART
ajird-838	6	5	find	find	VERB
ajird-838	6	6	the	the	DET
ajird-838	6	7	optimal	optimal	ADJ
ajird-838	6	8	solution	solution	NOUN
ajird-838	6	9	under	under	ADP
ajird-838	6	10	constraint	constraint	NOUN
ajird-838	6	11	conditions	condition	NOUN
ajird-838	6	12	,	,	PUNCT
ajird-838	6	13	and	and	CCONJ
ajird-838	6	14	mathematics	mathematic	NOUN
ajird-838	6	15	provides	provide	VERB
ajird-838	6	16	tools	tool	NOUN
ajird-838	6	17	and	and	CCONJ
ajird-838	6	18	methods	method	NOUN
ajird-838	6	19	for	for	ADP
ajird-838	6	20	formalizing	formalizing	NOUN
ajird-838	6	21	and	and	CCONJ
ajird-838	6	22	solving	solve	VERB
ajird-838	6	23	such	such	ADJ
ajird-838	6	24	models	model	NOUN
ajird-838	6	25	.	.	PUNCT
ajird-838	7	1	let	let	VERB
ajird-838	7	2	's	us	PRON
ajird-838	7	3	give	give	VERB
ajird-838	7	4	an	an	DET
ajird-838	7	5	example	example	NOUN
ajird-838	7	6	of	of	ADP
ajird-838	7	7	several	several	ADJ
ajird-838	7	8	ways	way	NOUN
ajird-838	7	9	in	in	ADP
ajird-838	7	10	which	which	PRON
ajird-838	7	11	mathematics	mathematic	NOUN
ajird-838	7	12	is	be	AUX
ajird-838	7	13	used	use	VERB
ajird-838	7	14	in	in	ADP
ajird-838	7	15	solving	solve	VERB
ajird-838	7	16	optimization	optimization	NOUN
ajird-838	7	17	models	model	NOUN
ajird-838	7	18	of	of	ADP
ajird-838	7	19	economics	economic	NOUN
ajird-838	7	20	,	,	PUNCT
ajird-838	7	21	namely	namely	ADV
ajird-838	7	22	:	:	PUNCT
ajird-838	7	23	•	•	NUM
ajird-838	7	24	linear	linear	NOUN
ajird-838	7	25	programming	programming	NOUN
ajird-838	7	26	is	be	AUX
ajird-838	7	27	one	one	NUM
ajird-838	7	28	of	of	ADP
ajird-838	7	29	the	the	DET
ajird-838	7	30	main	main	ADJ
ajird-838	7	31	optimization	optimization	NOUN
ajird-838	7	32	tools	tool	NOUN
ajird-838	7	33	in	in	ADP
ajird-838	7	34	economics	economic	NOUN
ajird-838	7	35	.	.	PUNCT
ajird-838	8	1	it	it	PRON
ajird-838	8	2	is	be	AUX
ajird-838	8	3	used	use	VERB
ajird-838	8	4	to	to	PART
ajird-838	8	5	solve	solve	VERB
ajird-838	8	6	problems	problem	NOUN
ajird-838	8	7	with	with	ADP
ajird-838	8	8	linear	linear	ADJ
ajird-838	8	9	constraints	constraint	NOUN
ajird-838	8	10	and	and	CCONJ
ajird-838	8	11	a	a	DET
ajird-838	8	12	linear	linear	ADJ
ajird-838	8	13	target	target	NOUN
ajird-838	8	14	function	function	NOUN
ajird-838	8	15	.	.	PUNCT
ajird-838	9	1	mathematical	mathematical	ADJ
ajird-838	9	2	methods	method	NOUN
ajird-838	9	3	,	,	PUNCT
ajird-838	9	4	such	such	ADJ
ajird-838	9	5	as	as	ADP
ajird-838	9	6	the	the	DET
ajird-838	9	7	simplex	simplex	NOUN
ajird-838	9	8	method	method	NOUN
ajird-838	9	9	,	,	PUNCT
ajird-838	9	10	are	be	AUX
ajird-838	9	11	used	use	VERB
ajird-838	9	12	to	to	PART
ajird-838	9	13	find	find	VERB
ajird-838	9	14	the	the	DET
ajird-838	9	15	optimal	optimal	ADJ
ajird-838	9	16	solution	solution	NOUN
ajird-838	9	17	.	.	PUNCT
ajird-838	10	1	•	•	NUM
ajird-838	10	2	nonlinear	nonlinear	ADJ
ajird-838	10	3	programming	programming	NOUN
ajird-838	10	4	is	be	AUX
ajird-838	10	5	applied	apply	VERB
ajird-838	10	6	when	when	SCONJ
ajird-838	10	7	the	the	DET
ajird-838	10	8	objective	objective	ADJ
ajird-838	10	9	function	function	NOUN
ajird-838	10	10	or	or	CCONJ
ajird-838	10	11	constraints	constraint	NOUN
ajird-838	10	12	are	be	AUX
ajird-838	10	13	nonlinear	nonlinear	ADJ
ajird-838	10	14	.	.	PUNCT
ajird-838	11	1	mathematical	mathematical	ADJ
ajird-838	11	2	methods	method	NOUN
ajird-838	11	3	such	such	ADJ
ajird-838	11	4	as	as	ADP
ajird-838	11	5	gradient	gradient	ADJ
ajird-838	11	6	descent	descent	NOUN
ajird-838	11	7	or	or	CCONJ
ajird-838	11	8	least	least	ADJ
ajird-838	11	9	squares	square	NOUN
ajird-838	11	10	methods	method	NOUN
ajird-838	11	11	are	be	AUX
ajird-838	11	12	used	use	VERB
ajird-838	11	13	to	to	PART
ajird-838	11	14	solve	solve	VERB
ajird-838	11	15	such	such	ADJ
ajird-838	11	16	problems	problem	NOUN
ajird-838	11	17	.	.	PUNCT
ajird-838	12	1	•	•	NUM
ajird-838	12	2	dynamic	dynamic	ADJ
ajird-838	12	3	programming	programming	NOUN
ajird-838	12	4	is	be	AUX
ajird-838	12	5	used	use	VERB
ajird-838	12	6	to	to	PART
ajird-838	12	7	optimize	optimize	VERB
ajird-838	12	8	sequential	sequential	ADJ
ajird-838	12	9	solutions	solution	NOUN
ajird-838	12	10	over	over	ADP
ajird-838	12	11	time	time	NOUN
ajird-838	12	12	.	.	PUNCT
ajird-838	13	1	mathematical	mathematical	ADJ
ajird-838	13	2	methods	method	NOUN
ajird-838	13	3	,	,	PUNCT
ajird-838	13	4	such	such	ADJ
ajird-838	13	5	as	as	ADP
ajird-838	13	6	bellman	bellman	NOUN
ajird-838	13	7	's	's	PART
ajird-838	13	8	optimality	optimality	NOUN
ajird-838	13	9	principle	principle	NOUN
ajird-838	13	10	,	,	PUNCT
ajird-838	13	11	allow	allow	VERB
ajird-838	13	12	you	you	PRON
ajird-838	13	13	to	to	PART
ajird-838	13	14	break	break	VERB
ajird-838	13	15	a	a	DET
ajird-838	13	16	complex	complex	ADJ
ajird-838	13	17	problem	problem	NOUN
ajird-838	13	18	into	into	ADP
ajird-838	13	19	simpler	simple	ADJ
ajird-838	13	20	subtasks	subtask	NOUN
ajird-838	13	21	and	and	CCONJ
ajird-838	13	22	find	find	VERB
ajird-838	13	23	the	the	DET
ajird-838	13	24	optimal	optimal	ADJ
ajird-838	13	25	solution	solution	NOUN
ajird-838	13	26	.	.	PUNCT
ajird-838	14	1	we	we	PRON
ajird-838	14	2	conducted	conduct	VERB
ajird-838	14	3	an	an	DET
ajird-838	14	4	analysis	analysis	NOUN
ajird-838	14	5	of	of	ADP
ajird-838	14	6	some	some	DET
ajird-838	14	7	well	well	ADV
ajird-838	14	8	-	-	PUNCT
ajird-838	14	9	known	know	VERB
ajird-838	14	10	works	work	NOUN
ajird-838	14	11	and	and	CCONJ
ajird-838	14	12	authors	author	NOUN
ajird-838	14	13	who	who	PRON
ajird-838	14	14	were	be	AUX
ajird-838	14	15	engaged	engage	VERB
ajird-838	14	16	in	in	ADP
ajird-838	14	17	research	research	NOUN
ajird-838	14	18	in	in	ADP
ajird-838	14	19	the	the	DET
ajird-838	14	20	field	field	NOUN
ajird-838	14	21	of	of	ADP
ajird-838	14	22	models	model	NOUN
ajird-838	14	23	and	and	CCONJ
ajird-838	14	24	equations	equation	NOUN
ajird-838	14	25	used	use	VERB
ajird-838	14	26	to	to	PART
ajird-838	14	27	analyze	analyze	VERB
ajird-838	14	28	economic	economic	ADJ
ajird-838	14	29	growth	growth	NOUN
ajird-838	14	30	,	,	PUNCT
ajird-838	14	31	investment	investment	NOUN
ajird-838	14	32	,	,	PUNCT
ajird-838	14	33	consumption	consumption	NOUN
ajird-838	14	34	and	and	CCONJ
ajird-838	14	35	other	other	ADJ
ajird-838	14	36	important	important	ADJ
ajird-838	14	37	aspects	aspect	NOUN
ajird-838	14	38	of	of	ADP
ajird-838	14	39	the	the	DET
ajird-838	14	40	economy	economy	NOUN
ajird-838	14	41	.	.	PUNCT
ajird-838	15	1	in	in	ADP
ajird-838	15	2	"	"	PUNCT
ajird-838	15	3	economic	economic	ADJ
ajird-838	15	4	growth	growth	NOUN
ajird-838	15	5	,	,	PUNCT
ajird-838	15	6	"	"	PUNCT
ajird-838	15	7	robert	robert	PROPN
ajird-838	15	8	solow	solow	PROPN
ajird-838	15	9	introduced	introduce	VERB
ajird-838	15	10	an	an	DET
ajird-838	15	11	economic	economic	ADJ
ajird-838	15	12	growth	growth	NOUN
ajird-838	15	13	model	model	NOUN
ajird-838	15	14	known	know	VERB
ajird-838	15	15	as	as	ADP
ajird-838	15	16	the	the	DET
ajird-838	15	17	solow	solow	PROPN
ajird-838	15	18	model	model	NOUN
ajird-838	15	19	,	,	PUNCT
ajird-838	15	20	which	which	PRON
ajird-838	15	21	became	become	VERB
ajird-838	15	22	one	one	NUM
ajird-838	15	23	of	of	ADP
ajird-838	15	24	the	the	DET
ajird-838	15	25	major	major	ADJ
ajird-838	15	26	models	model	NOUN
ajird-838	15	27	in	in	ADP
ajird-838	15	28	economic	economic	ADJ
ajird-838	15	29	science	science	NOUN
ajird-838	15	30	.	.	PUNCT
ajird-838	16	1	in	in	ADP
ajird-838	16	2	another	another	DET
ajird-838	16	3	work	work	NOUN
ajird-838	16	4	,	,	PUNCT
ajird-838	16	5	"	"	PUNCT
ajird-838	16	6	economic	economic	ADJ
ajird-838	16	7	growth	growth	NOUN
ajird-838	16	8	and	and	CCONJ
ajird-838	16	9	capital	capital	NOUN
ajird-838	16	10	accumulation	accumulation	NOUN
ajird-838	16	11	,	,	PUNCT
ajird-838	16	12	"	"	PUNCT
ajird-838	16	13	edward	edward	PROPN
ajird-838	16	14	denison	denison	PROPN
ajird-838	16	15	conducted	conduct	VERB
ajird-838	16	16	a	a	DET
ajird-838	16	17	study	study	NOUN
ajird-838	16	18	on	on	ADP
ajird-838	16	19	the	the	DET
ajird-838	16	20	relationship	relationship	NOUN
ajird-838	16	21	between	between	ADP
ajird-838	16	22	economic	economic	ADJ
ajird-838	16	23	growth	growth	NOUN
ajird-838	16	24	and	and	CCONJ
ajird-838	16	25	capital	capital	NOUN
ajird-838	16	26	accumulation	accumulation	NOUN
ajird-838	16	27	using	use	VERB
ajird-838	16	28	differential	differential	ADJ
ajird-838	16	29	equations	equation	NOUN
ajird-838	16	30	.	.	PUNCT
ajird-838	17	1	also	also	ADV
ajird-838	17	2	,	,	PUNCT
ajird-838	17	3	john	john	PROPN
ajird-838	17	4	maynard	maynard	PROPN
ajird-838	17	5	keynes	keynes	PROPN
ajird-838	17	6	in	in	ADP
ajird-838	17	7	his	his	PRON
ajird-838	17	8	work	work	NOUN
ajird-838	17	9	"	"	PUNCT
ajird-838	17	10	the	the	DET
ajird-838	17	11	general	general	ADJ
ajird-838	17	12	theory	theory	NOUN
ajird-838	17	13	of	of	ADP
ajird-838	17	14	employment	employment	NOUN
ajird-838	17	15	,	,	PUNCT
ajird-838	17	16	interest	interest	NOUN
ajird-838	17	17	and	and	CCONJ
ajird-838	17	18	money	money	NOUN
ajird-838	17	19	"	"	PUNCT
ajird-838	17	20	presented	present	VERB
ajird-838	17	21	a	a	DET
ajird-838	17	22	consumption	consumption	NOUN
ajird-838	17	23	model	model	NOUN
ajird-838	17	24	that	that	PRON
ajird-838	17	25	became	become	VERB
ajird-838	17	26	the	the	DET
ajird-838	17	27	basis	basis	NOUN
ajird-838	17	28	for	for	ADP
ajird-838	17	29	analyzing	analyze	VERB
ajird-838	17	30	economic	economic	ADJ
ajird-838	17	31	growth	growth	NOUN
ajird-838	17	32	and	and	CCONJ
ajird-838	17	33	investment	investment	NOUN
ajird-838	17	34	.	.	PUNCT
ajird-838	18	1	in	in	ADP
ajird-838	18	2	addition	addition	NOUN
ajird-838	18	3	,	,	PUNCT
ajird-838	18	4	endogenic	endogenic	ADJ
ajird-838	18	5	technological	technological	ADJ
ajird-838	18	6	change	change	NOUN
ajird-838	18	7	paul	paul	PROPN
ajird-838	18	8	romer	romer	PROPN
ajird-838	18	9	american	american	PROPN
ajird-838	18	10	journal	journal	PROPN
ajird-838	18	11	of	of	ADP
ajird-838	18	12	interdisciplinary	interdisciplinary	ADJ
ajird-838	18	13	research	research	NOUN
ajird-838	18	14	and	and	CCONJ
ajird-838	18	15	development	development	NOUN
ajird-838	18	16	issn	issn	PROPN
ajird-838	18	17	online	online	NOUN
ajird-838	18	18	:	:	PUNCT
ajird-838	18	19	2771	2771	NUM
ajird-838	18	20	-	-	SYM
ajird-838	18	21	8948	8948	NUM
ajird-838	18	22	website	website	NOUN
ajird-838	18	23	:	:	PUNCT
ajird-838	18	24	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-838	18	25	volume	volume	NOUN
ajird-838	18	26	22	22	NUM
ajird-838	18	27	,	,	PUNCT
ajird-838	18	28	november	november	PROPN
ajird-838	18	29	,	,	PUNCT
ajird-838	18	30	2023	2023	NUM
ajird-838	18	31	115	115	NUM
ajird-838	19	1	|	|	ADV
ajird-838	19	2	p	p	NOUN
ajird-838	19	3	a	a	DET
ajird-838	19	4	g	g	NOUN
ajird-838	19	5	e	e	NOUN
ajird-838	19	6	has	have	AUX
ajird-838	19	7	developed	develop	VERB
ajird-838	19	8	an	an	DET
ajird-838	19	9	economic	economic	ADJ
ajird-838	19	10	growth	growth	NOUN
ajird-838	19	11	model	model	NOUN
ajird-838	19	12	that	that	PRON
ajird-838	19	13	takes	take	VERB
ajird-838	19	14	into	into	ADP
ajird-838	19	15	account	account	NOUN
ajird-838	19	16	endogenous	endogenous	ADJ
ajird-838	19	17	technological	technological	ADJ
ajird-838	19	18	progress	progress	NOUN
ajird-838	19	19	,	,	PUNCT
ajird-838	19	20	which	which	PRON
ajird-838	19	21	plays	play	VERB
ajird-838	19	22	an	an	DET
ajird-838	19	23	important	important	ADJ
ajird-838	19	24	role	role	NOUN
ajird-838	19	25	in	in	ADP
ajird-838	19	26	modeling	model	VERB
ajird-838	19	27	economic	economic	ADJ
ajird-838	19	28	growth.[1	growth.[1	NOUN
ajird-838	19	29	]	]	PUNCT
ajird-838	20	1	robert	robert	PROPN
ajird-838	20	2	barro	barro	PROPN
ajird-838	20	3	and	and	CCONJ
ajird-838	20	4	xavier	xavier	PROPN
ajird-838	20	5	sala	sala	PROPN
ajird-838	20	6	y	y	PROPN
ajird-838	20	7	martin	martin	PROPN
ajird-838	20	8	,	,	PUNCT
ajird-838	20	9	in	in	ADP
ajird-838	20	10	their	their	PRON
ajird-838	20	11	study	study	NOUN
ajird-838	20	12	"	"	PUNCT
ajird-838	20	13	a	a	DET
ajird-838	20	14	contribution	contribution	NOUN
ajird-838	20	15	to	to	ADP
ajird-838	20	16	the	the	DET
ajird-838	20	17	theory	theory	NOUN
ajird-838	20	18	of	of	ADP
ajird-838	20	19	economic	economic	ADJ
ajird-838	20	20	growth	growth	NOUN
ajird-838	20	21	,	,	PUNCT
ajird-838	20	22	"	"	PUNCT
ajird-838	20	23	introduced	introduce	VERB
ajird-838	20	24	an	an	DET
ajird-838	20	25	economic	economic	ADJ
ajird-838	20	26	growth	growth	NOUN
ajird-838	20	27	model	model	NOUN
ajird-838	20	28	that	that	PRON
ajird-838	20	29	takes	take	VERB
ajird-838	20	30	into	into	ADP
ajird-838	20	31	account	account	NOUN
ajird-838	20	32	human	human	ADJ
ajird-838	20	33	capital	capital	NOUN
ajird-838	20	34	and	and	CCONJ
ajird-838	20	35	its	its	PRON
ajird-838	20	36	impact	impact	NOUN
ajird-838	20	37	on	on	ADP
ajird-838	20	38	economic	economic	ADJ
ajird-838	20	39	growth	growth	NOUN
ajird-838	20	40	.	.	PUNCT
ajird-838	21	1	in	in	ADP
ajird-838	21	2	our	our	PRON
ajird-838	21	3	paper	paper	NOUN
ajird-838	21	4	,	,	PUNCT
ajird-838	21	5	we	we	PRON
ajird-838	21	6	will	will	AUX
ajird-838	21	7	analyze	analyze	VERB
ajird-838	21	8	the	the	DET
ajird-838	21	9	role	role	NOUN
ajird-838	21	10	of	of	ADP
ajird-838	21	11	differential	differential	ADJ
ajird-838	21	12	equations	equation	NOUN
ajird-838	21	13	in	in	ADP
ajird-838	21	14	solving	solve	VERB
ajird-838	21	15	economic	economic	ADJ
ajird-838	21	16	problems	problem	NOUN
ajird-838	21	17	.	.	PUNCT
ajird-838	22	1	differential	differential	ADJ
ajird-838	22	2	equations	equation	NOUN
ajird-838	22	3	are	be	AUX
ajird-838	22	4	widely	widely	ADV
ajird-838	22	5	applied	apply	VERB
ajird-838	22	6	in	in	ADP
ajird-838	22	7	various	various	ADJ
ajird-838	22	8	fields	field	NOUN
ajird-838	22	9	,	,	PUNCT
ajird-838	22	10	such	such	ADJ
ajird-838	22	11	as	as	ADP
ajird-838	22	12	physics	physics	NOUN
ajird-838	22	13	,	,	PUNCT
ajird-838	22	14	economics	economic	NOUN
ajird-838	22	15	,	,	PUNCT
ajird-838	22	16	biology	biology	NOUN
ajird-838	22	17	,	,	PUNCT
ajird-838	22	18	engineering	engineering	NOUN
ajird-838	22	19	,	,	PUNCT
ajird-838	22	20	and	and	CCONJ
ajird-838	22	21	others	other	NOUN
ajird-838	22	22	,	,	PUNCT
ajird-838	22	23	to	to	PART
ajird-838	22	24	model	model	VERB
ajird-838	22	25	and	and	CCONJ
ajird-838	22	26	analyze	analyze	VERB
ajird-838	22	27	dynamical	dynamical	ADJ
ajird-838	22	28	systems	system	NOUN
ajird-838	22	29	and	and	CCONJ
ajird-838	22	30	processes	process	NOUN
ajird-838	22	31	.	.	PUNCT
ajird-838	23	1	they	they	PRON
ajird-838	23	2	allow	allow	VERB
ajird-838	23	3	you	you	PRON
ajird-838	23	4	to	to	PART
ajird-838	23	5	describe	describe	VERB
ajird-838	23	6	changes	change	NOUN
ajird-838	23	7	in	in	ADP
ajird-838	23	8	quantities	quantity	NOUN
ajird-838	23	9	depending	depend	VERB
ajird-838	23	10	on	on	ADP
ajird-838	23	11	their	their	PRON
ajird-838	23	12	derivatives	derivative	NOUN
ajird-838	23	13	and	and	CCONJ
ajird-838	23	14	interactions	interaction	NOUN
ajird-838	23	15	with	with	ADP
ajird-838	23	16	other	other	ADJ
ajird-838	23	17	variables	variable	NOUN
ajird-838	23	18	.	.	PUNCT
ajird-838	24	1	differential	differential	ADJ
ajird-838	24	2	equations	equation	NOUN
ajird-838	24	3	are	be	AUX
ajird-838	24	4	mathematical	mathematical	ADJ
ajird-838	24	5	equations	equation	NOUN
ajird-838	24	6	that	that	PRON
ajird-838	24	7	describe	describe	VERB
ajird-838	24	8	the	the	DET
ajird-838	24	9	dependencies	dependency	NOUN
ajird-838	24	10	between	between	ADP
ajird-838	24	11	functions	function	NOUN
ajird-838	24	12	and	and	CCONJ
ajird-838	24	13	their	their	PRON
ajird-838	24	14	derivatives	derivative	NOUN
ajird-838	24	15	.	.	PUNCT
ajird-838	25	1	they	they	PRON
ajird-838	25	2	include	include	VERB
ajird-838	25	3	both	both	CCONJ
ajird-838	25	4	the	the	DET
ajird-838	25	5	function	function	NOUN
ajird-838	25	6	itself	itself	PRON
ajird-838	25	7	and	and	CCONJ
ajird-838	25	8	its	its	PRON
ajird-838	25	9	derivatives	derivative	NOUN
ajird-838	25	10	over	over	ADP
ajird-838	25	11	one	one	NUM
ajird-838	25	12	or	or	CCONJ
ajird-838	25	13	more	more	ADJ
ajird-838	25	14	variables	variable	NOUN
ajird-838	25	15	.	.	PUNCT
ajird-838	26	1	the	the	DET
ajird-838	26	2	general	general	ADJ
ajird-838	26	3	form	form	NOUN
ajird-838	26	4	of	of	ADP
ajird-838	26	5	the	the	DET
ajird-838	26	6	differential	differential	ADJ
ajird-838	26	7	equation	equation	NOUN
ajird-838	26	8	is	be	AUX
ajird-838	26	9	as	as	SCONJ
ajird-838	26	10	follows	follow	VERB
ajird-838	26	11	:	:	PUNCT
ajird-838	26	12	f(x	f(x	PROPN
ajird-838	26	13	,	,	PUNCT
ajird-838	26	14	y	y	PROPN
ajird-838	26	15	,	,	PUNCT
ajird-838	26	16	y	y	PROPN
ajird-838	26	17	'	'	PROPN
ajird-838	26	18	,	,	PUNCT
ajird-838	26	19	y	y	PROPN
ajird-838	26	20	''	''	PUNCT
ajird-838	26	21	,	,	PUNCT
ajird-838	26	22	...	...	PUNCT
ajird-838	26	23	,	,	PUNCT
ajird-838	26	24	y^(n	y^(n	NUM
ajird-838	26	25	)	)	PUNCT
ajird-838	26	26	)	)	PUNCT
ajird-838	27	1	=	=	PUNCT
ajird-838	27	2	0	0	NUM
ajird-838	27	3	,	,	PUNCT
ajird-838	27	4	where	where	SCONJ
ajird-838	27	5	:	:	PUNCT
ajird-838	27	6	x	x	SYM
ajird-838	27	7	independent	independent	ADJ
ajird-838	27	8	variable	variable	NOUN
ajird-838	27	9	,	,	PUNCT
ajird-838	27	10	y	y	PROPN
ajird-838	27	11	the	the	DET
ajird-838	27	12	desired	desire	VERB
ajird-838	27	13	function	function	NOUN
ajird-838	27	14	depending	depend	VERB
ajird-838	27	15	on	on	ADP
ajird-838	27	16	x	x	PROPN
ajird-838	27	17	,	,	PUNCT
ajird-838	27	18	y	y	PROPN
ajird-838	27	19	'	'	PUNCT
ajird-838	27	20	is	be	AUX
ajird-838	27	21	the	the	DET
ajird-838	27	22	first	first	ADJ
ajird-838	27	23	derivative	derivative	NOUN
ajird-838	27	24	of	of	ADP
ajird-838	27	25	y	y	PROPN
ajird-838	27	26	over	over	ADP
ajird-838	27	27	x	x	PROPN
ajird-838	27	28	,	,	PUNCT
ajird-838	27	29	y	y	PROPN
ajird-838	27	30	"	"	PUNCT
ajird-838	27	31	the	the	DET
ajird-838	27	32	second	second	ADJ
ajird-838	27	33	derivative	derivative	NOUN
ajird-838	27	34	of	of	ADP
ajird-838	27	35	y	y	PROPN
ajird-838	27	36	in	in	ADP
ajird-838	27	37	x	x	PROPN
ajird-838	27	38	,	,	PUNCT
ajird-838	27	39	y^	y^	PROPN
ajird-838	27	40	(	(	PUNCT
ajird-838	27	41	n	n	CCONJ
ajird-838	27	42	)	)	PUNCT
ajird-838	27	43	is	be	AUX
ajird-838	27	44	the	the	DET
ajird-838	27	45	n	n	ADV
ajird-838	27	46	-	-	PUNCT
ajird-838	27	47	th	th	X
ajird-838	27	48	derivative	derivative	NOUN
ajird-838	27	49	of	of	ADP
ajird-838	27	50	y	y	PROPN
ajird-838	27	51	over	over	ADP
ajird-838	27	52	x	x	PROPN
ajird-838	27	53	,	,	PUNCT
ajird-838	27	54	f	f	PROPN
ajird-838	27	55	is	be	AUX
ajird-838	27	56	the	the	DET
ajird-838	27	57	function	function	NOUN
ajird-838	27	58	that	that	PRON
ajird-838	27	59	defines	define	VERB
ajird-838	27	60	the	the	DET
ajird-838	27	61	relationship	relationship	NOUN
ajird-838	27	62	between	between	ADP
ajird-838	27	63	y	y	PROPN
ajird-838	27	64	,	,	PUNCT
ajird-838	27	65	its	its	PRON
ajird-838	27	66	derivatives	derivative	NOUN
ajird-838	27	67	and	and	CCONJ
ajird-838	27	68	x.	x.	NOUN
ajird-838	27	69	differential	differential	PROPN
ajird-838	27	70	equations	equation	NOUN
ajird-838	27	71	can	can	AUX
ajird-838	27	72	be	be	AUX
ajird-838	27	73	classified	classify	VERB
ajird-838	27	74	according	accord	VERB
ajird-838	27	75	to	to	ADP
ajird-838	27	76	various	various	ADJ
ajird-838	27	77	criteria	criterion	NOUN
ajird-838	27	78	,	,	PUNCT
ajird-838	27	79	including	include	VERB
ajird-838	27	80	the	the	DET
ajird-838	27	81	order	order	NOUN
ajird-838	27	82	of	of	ADP
ajird-838	27	83	the	the	DET
ajird-838	27	84	equation	equation	NOUN
ajird-838	27	85	(	(	PUNCT
ajird-838	27	86	number	number	NOUN
ajird-838	27	87	of	of	ADP
ajird-838	27	88	derivatives	derivative	NOUN
ajird-838	27	89	)	)	PUNCT
ajird-838	27	90	,	,	PUNCT
ajird-838	27	91	the	the	DET
ajird-838	27	92	type	type	NOUN
ajird-838	27	93	of	of	ADP
ajird-838	27	94	equation	equation	NOUN
ajird-838	27	95	(	(	PUNCT
ajird-838	27	96	ordinary	ordinary	ADJ
ajird-838	27	97	,	,	PUNCT
ajird-838	27	98	quotient	quotient	NOUN
ajird-838	27	99	,	,	PUNCT
ajird-838	27	100	linear	linear	ADJ
ajird-838	27	101	,	,	PUNCT
ajird-838	27	102	nonlinear	nonlinear	ADJ
ajird-838	27	103	,	,	PUNCT
ajird-838	27	104	etc	etc	X
ajird-838	27	105	.	.	X
ajird-838	27	106	)	)	PUNCT
ajird-838	27	107	,	,	PUNCT
ajird-838	27	108	and	and	CCONJ
ajird-838	27	109	the	the	DET
ajird-838	27	110	conditions	condition	NOUN
ajird-838	27	111	of	of	ADP
ajird-838	27	112	the	the	DET
ajird-838	27	113	problem	problem	NOUN
ajird-838	27	114	(	(	PUNCT
ajird-838	27	115	initial	initial	ADJ
ajird-838	27	116	or	or	CCONJ
ajird-838	27	117	boundary	boundary	ADJ
ajird-838	27	118	conditions	condition	NOUN
ajird-838	27	119	)	)	PUNCT
ajird-838	27	120	.	.	PUNCT
ajird-838	28	1	the	the	DET
ajird-838	28	2	solution	solution	NOUN
ajird-838	28	3	to	to	ADP
ajird-838	28	4	the	the	DET
ajird-838	28	5	differential	differential	ADJ
ajird-838	28	6	equation	equation	NOUN
ajird-838	28	7	is	be	AUX
ajird-838	28	8	to	to	PART
ajird-838	28	9	find	find	VERB
ajird-838	28	10	a	a	DET
ajird-838	28	11	function	function	NOUN
ajird-838	28	12	y	y	PROPN
ajird-838	28	13	(	(	PUNCT
ajird-838	28	14	x	x	NOUN
ajird-838	28	15	)	)	PUNCT
ajird-838	28	16	that	that	PRON
ajird-838	28	17	satisfies	satisfy	VERB
ajird-838	28	18	the	the	DET
ajird-838	28	19	equation	equation	NOUN
ajird-838	28	20	and	and	CCONJ
ajird-838	28	21	possibly	possibly	ADV
ajird-838	28	22	given	give	VERB
ajird-838	28	23	initial	initial	ADJ
ajird-838	28	24	or	or	CCONJ
ajird-838	28	25	edge	edge	NOUN
ajird-838	28	26	conditions	condition	NOUN
ajird-838	28	27	.	.	PUNCT
ajird-838	29	1	the	the	DET
ajird-838	29	2	solution	solution	NOUN
ajird-838	29	3	can	can	AUX
ajird-838	29	4	be	be	AUX
ajird-838	29	5	explicit	explicit	ADJ
ajird-838	29	6	(	(	PUNCT
ajird-838	29	7	analytic	analytic	ADJ
ajird-838	29	8	)	)	PUNCT
ajird-838	29	9	or	or	CCONJ
ajird-838	29	10	implicit	implicit	ADJ
ajird-838	29	11	(	(	PUNCT
ajird-838	29	12	via	via	ADP
ajird-838	29	13	parameterization	parameterization	NOUN
ajird-838	29	14	or	or	CCONJ
ajird-838	29	15	numerical	numerical	ADJ
ajird-838	29	16	methods	method	NOUN
ajird-838	29	17	)	)	PUNCT
ajird-838	29	18	.	.	PUNCT
ajird-838	30	1	differential	differential	ADJ
ajird-838	30	2	equations	equation	NOUN
ajird-838	30	3	allow	allow	VERB
ajird-838	30	4	you	you	PRON
ajird-838	30	5	to	to	PART
ajird-838	30	6	describe	describe	VERB
ajird-838	30	7	changes	change	NOUN
ajird-838	30	8	in	in	ADP
ajird-838	30	9	quantities	quantity	NOUN
ajird-838	30	10	depending	depend	VERB
ajird-838	30	11	on	on	ADP
ajird-838	30	12	their	their	PRON
ajird-838	30	13	derivatives	derivative	NOUN
ajird-838	30	14	and	and	CCONJ
ajird-838	30	15	interactions	interaction	NOUN
ajird-838	30	16	with	with	ADP
ajird-838	30	17	other	other	ADJ
ajird-838	30	18	variables	variable	NOUN
ajird-838	30	19	.	.	PUNCT
ajird-838	31	1	their	their	PRON
ajird-838	31	2	solution	solution	NOUN
ajird-838	31	3	is	be	AUX
ajird-838	31	4	important	important	ADJ
ajird-838	31	5	for	for	ADP
ajird-838	31	6	understanding	understanding	NOUN
ajird-838	31	7	and	and	CCONJ
ajird-838	31	8	predicting	predict	VERB
ajird-838	31	9	the	the	DET
ajird-838	31	10	behavior	behavior	NOUN
ajird-838	31	11	of	of	ADP
ajird-838	31	12	systems	system	NOUN
ajird-838	31	13	and	and	CCONJ
ajird-838	31	14	processes	process	NOUN
ajird-838	31	15	in	in	ADP
ajird-838	31	16	various	various	ADJ
ajird-838	31	17	fields	field	NOUN
ajird-838	31	18	of	of	ADP
ajird-838	31	19	science	science	NOUN
ajird-838	31	20	and	and	CCONJ
ajird-838	31	21	technology	technology	NOUN
ajird-838	31	22	.	.	PUNCT
ajird-838	32	1	differential	differential	ADJ
ajird-838	32	2	equations	equation	NOUN
ajird-838	32	3	are	be	AUX
ajird-838	32	4	a	a	DET
ajird-838	32	5	mathematical	mathematical	ADJ
ajird-838	32	6	tool	tool	NOUN
ajird-838	32	7	that	that	PRON
ajird-838	32	8	describes	describe	VERB
ajird-838	32	9	the	the	DET
ajird-838	32	10	change	change	NOUN
ajird-838	32	11	of	of	ADP
ajird-838	32	12	variables	variable	NOUN
ajird-838	32	13	depending	depend	VERB
ajird-838	32	14	on	on	ADP
ajird-838	32	15	their	their	PRON
ajird-838	32	16	derivatives	derivative	NOUN
ajird-838	32	17	.	.	PUNCT
ajird-838	33	1	in	in	ADP
ajird-838	33	2	economics	economic	NOUN
ajird-838	33	3	,	,	PUNCT
ajird-838	33	4	differential	differential	ADJ
ajird-838	33	5	equations	equation	NOUN
ajird-838	33	6	play	play	VERB
ajird-838	33	7	an	an	DET
ajird-838	33	8	important	important	ADJ
ajird-838	33	9	role	role	NOUN
ajird-838	33	10	in	in	ADP
ajird-838	33	11	the	the	DET
ajird-838	33	12	modeling	modeling	NOUN
ajird-838	33	13	and	and	CCONJ
ajird-838	33	14	analysis	analysis	NOUN
ajird-838	33	15	of	of	ADP
ajird-838	33	16	various	various	ADJ
ajird-838	33	17	economic	economic	ADJ
ajird-838	33	18	processes	process	NOUN
ajird-838	33	19	.	.	PUNCT
ajird-838	34	1	they	they	PRON
ajird-838	34	2	allow	allow	VERB
ajird-838	34	3	you	you	PRON
ajird-838	34	4	to	to	PART
ajird-838	34	5	describe	describe	VERB
ajird-838	34	6	the	the	DET
ajird-838	34	7	dynamics	dynamic	NOUN
ajird-838	34	8	of	of	ADP
ajird-838	34	9	changes	change	NOUN
ajird-838	34	10	in	in	ADP
ajird-838	34	11	economic	economic	ADJ
ajird-838	34	12	variables	variable	NOUN
ajird-838	34	13	over	over	ADP
ajird-838	34	14	time	time	NOUN
ajird-838	34	15	and	and	CCONJ
ajird-838	34	16	analyze	analyze	VERB
ajird-838	34	17	their	their	PRON
ajird-838	34	18	impact	impact	NOUN
ajird-838	34	19	on	on	ADP
ajird-838	34	20	economic	economic	ADJ
ajird-838	34	21	phenomena	phenomenon	NOUN
ajird-838	34	22	.	.	PUNCT
ajird-838	35	1	for	for	ADP
ajird-838	35	2	example	example	NOUN
ajird-838	35	3	,	,	PUNCT
ajird-838	35	4	the	the	DET
ajird-838	35	5	solow	solow	PROPN
ajird-838	35	6	model	model	NOUN
ajird-838	35	7	can	can	AUX
ajird-838	35	8	investigate	investigate	VERB
ajird-838	35	9	the	the	DET
ajird-838	35	10	impact	impact	NOUN
ajird-838	35	11	of	of	ADP
ajird-838	35	12	changes	change	NOUN
ajird-838	35	13	in	in	ADP
ajird-838	35	14	investment	investment	NOUN
ajird-838	35	15	level	level	NOUN
ajird-838	35	16	,	,	PUNCT
ajird-838	35	17	technological	technological	ADJ
ajird-838	35	18	progress	progress	NOUN
ajird-838	35	19	,	,	PUNCT
ajird-838	35	20	and	and	CCONJ
ajird-838	35	21	natural	natural	ADJ
ajird-838	35	22	rate	rate	NOUN
ajird-838	35	23	of	of	ADP
ajird-838	35	24	population	population	NOUN
ajird-838	35	25	growth	growth	NOUN
ajird-838	35	26	on	on	ADP
ajird-838	35	27	economic	economic	ADJ
ajird-838	35	28	growth	growth	NOUN
ajird-838	35	29	.	.	PUNCT
ajird-838	36	1	by	by	ADP
ajird-838	36	2	changing	change	VERB
ajird-838	36	3	the	the	DET
ajird-838	36	4	parameters	parameter	NOUN
ajird-838	36	5	in	in	ADP
ajird-838	36	6	the	the	DET
ajird-838	36	7	solow	solow	PROPN
ajird-838	36	8	differential	differential	PROPN
ajird-838	36	9	equation	equation	NOUN
ajird-838	36	10	,	,	PUNCT
ajird-838	36	11	it	it	PRON
ajird-838	36	12	is	be	AUX
ajird-838	36	13	possible	possible	ADJ
ajird-838	36	14	to	to	PART
ajird-838	36	15	determine	determine	VERB
ajird-838	36	16	how	how	SCONJ
ajird-838	36	17	the	the	DET
ajird-838	36	18	change	change	NOUN
ajird-838	36	19	in	in	ADP
ajird-838	36	20	these	these	DET
ajird-838	36	21	factors	factor	NOUN
ajird-838	36	22	will	will	AUX
ajird-838	36	23	affect	affect	VERB
ajird-838	36	24	the	the	DET
ajird-838	36	25	rate	rate	NOUN
ajird-838	36	26	of	of	ADP
ajird-838	36	27	change	change	NOUN
ajird-838	36	28	in	in	ADP
ajird-838	36	29	capital	capital	NOUN
ajird-838	36	30	and	and	CCONJ
ajird-838	36	31	therefore	therefore	ADV
ajird-838	36	32	the	the	DET
ajird-838	36	33	level	level	NOUN
ajird-838	36	34	of	of	ADP
ajird-838	36	35	production	production	NOUN
ajird-838	36	36	and	and	CCONJ
ajird-838	36	37	economic	economic	ADJ
ajird-838	36	38	growth	growth	NOUN
ajird-838	36	39	.	.	PUNCT
ajird-838	37	1	it	it	PRON
ajird-838	37	2	is	be	AUX
ajird-838	37	3	one	one	NUM
ajird-838	37	4	of	of	ADP
ajird-838	37	5	the	the	DET
ajird-838	37	6	most	most	ADV
ajird-838	37	7	common	common	ADJ
ajird-838	37	8	differential	differential	ADJ
ajird-838	37	9	equations	equation	NOUN
ajird-838	37	10	in	in	ADP
ajird-838	37	11	american	american	ADJ
ajird-838	37	12	journal	journal	PROPN
ajird-838	37	13	of	of	ADP
ajird-838	37	14	interdisciplinary	interdisciplinary	ADJ
ajird-838	37	15	research	research	NOUN
ajird-838	37	16	and	and	CCONJ
ajird-838	37	17	development	development	NOUN
ajird-838	37	18	issn	issn	PROPN
ajird-838	37	19	online	online	NOUN
ajird-838	37	20	:	:	PUNCT
ajird-838	37	21	2771	2771	NUM
ajird-838	37	22	-	-	SYM
ajird-838	37	23	8948	8948	NUM
ajird-838	37	24	website	website	NOUN
ajird-838	37	25	:	:	PUNCT
ajird-838	37	26	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-838	37	27	volume	volume	NOUN
ajird-838	37	28	22	22	NUM
ajird-838	37	29	,	,	PUNCT
ajird-838	37	30	november	november	PROPN
ajird-838	37	31	,	,	PUNCT
ajird-838	37	32	2023	2023	NUM
ajird-838	37	33	116	116	NUM
ajird-838	38	1	|	|	ADV
ajird-838	38	2	p	p	NOUN
ajird-838	38	3	a	a	DET
ajird-838	38	4	g	g	NOUN
ajird-838	38	5	e	e	NOUN
ajird-838	38	6	growth	growth	NOUN
ajird-838	38	7	models	model	NOUN
ajird-838	38	8	that	that	PRON
ajird-838	38	9	describes	describe	VERB
ajird-838	38	10	the	the	DET
ajird-838	38	11	relationship	relationship	NOUN
ajird-838	38	12	between	between	ADP
ajird-838	38	13	investment	investment	NOUN
ajird-838	38	14	,	,	PUNCT
ajird-838	38	15	production	production	NOUN
ajird-838	38	16	,	,	PUNCT
ajird-838	38	17	and	and	CCONJ
ajird-838	38	18	capital	capital	NOUN
ajird-838	38	19	accumulation	accumulation	NOUN
ajird-838	38	20	.	.	PUNCT
ajird-838	39	1	the	the	DET
ajird-838	39	2	solow	solow	PROPN
ajird-838	39	3	equation	equation	NOUN
ajird-838	39	4	has	have	VERB
ajird-838	39	5	the	the	DET
ajird-838	39	6	form	form	NOUN
ajird-838	39	7	:	:	PUNCT
ajird-838	39	8	dk	dk	X
ajird-838	39	9	/	/	SYM
ajird-838	39	10	dt	dt	PROPN
ajird-838	39	11	=	=	SYM
ajird-838	39	12	sy	sy	PROPN
ajird-838	39	13	(	(	PUNCT
ajird-838	39	14	n	n	X
ajird-838	39	15	+	+	CCONJ
ajird-838	39	16	δ)k	δ)k	NOUN
ajird-838	39	17	,	,	PUNCT
ajird-838	39	18	where	where	SCONJ
ajird-838	39	19	dk	dk	PROPN
ajird-838	39	20	/	/	SYM
ajird-838	39	21	dt	dt	PROPN
ajird-838	39	22	is	be	AUX
ajird-838	39	23	the	the	DET
ajird-838	39	24	rate	rate	NOUN
ajird-838	39	25	of	of	ADP
ajird-838	39	26	change	change	NOUN
ajird-838	39	27	in	in	ADP
ajird-838	39	28	capital	capital	NOUN
ajird-838	39	29	over	over	ADP
ajird-838	39	30	time	time	NOUN
ajird-838	39	31	,	,	PUNCT
ajird-838	39	32	s	s	VERB
ajird-838	39	33	is	be	AUX
ajird-838	39	34	the	the	DET
ajird-838	39	35	share	share	NOUN
ajird-838	39	36	of	of	ADP
ajird-838	39	37	income	income	NOUN
ajird-838	39	38	that	that	PRON
ajird-838	39	39	is	be	AUX
ajird-838	39	40	invested	invest	VERB
ajird-838	39	41	in	in	ADP
ajird-838	39	42	capital	capital	NOUN
ajird-838	39	43	(	(	PUNCT
ajird-838	39	44	savings	saving	NOUN
ajird-838	39	45	ratio	ratio	NOUN
ajird-838	39	46	)	)	PUNCT
ajird-838	39	47	,	,	PUNCT
ajird-838	39	48	y	y	PROPN
ajird-838	39	49	is	be	AUX
ajird-838	39	50	the	the	DET
ajird-838	39	51	level	level	NOUN
ajird-838	39	52	of	of	ADP
ajird-838	39	53	production	production	NOUN
ajird-838	39	54	,	,	PUNCT
ajird-838	39	55	n	n	X
ajird-838	39	56	is	be	AUX
ajird-838	39	57	the	the	DET
ajird-838	39	58	natural	natural	ADJ
ajird-838	39	59	rate	rate	NOUN
ajird-838	39	60	of	of	ADP
ajird-838	39	61	population	population	NOUN
ajird-838	39	62	growth	growth	NOUN
ajird-838	39	63	,	,	PUNCT
ajird-838	39	64	δ	δ	PROPN
ajird-838	39	65	is	be	AUX
ajird-838	39	66	the	the	DET
ajird-838	39	67	depreciation	depreciation	NOUN
ajird-838	39	68	ratio	ratio	NOUN
ajird-838	39	69	(	(	PUNCT
ajird-838	39	70	rate	rate	NOUN
ajird-838	39	71	of	of	ADP
ajird-838	39	72	decrease	decrease	NOUN
ajird-838	39	73	in	in	ADP
ajird-838	39	74	capital	capital	NOUN
ajird-838	39	75	over	over	ADP
ajird-838	39	76	time	time	NOUN
ajird-838	39	77	)	)	PUNCT
ajird-838	39	78	.	.	PUNCT
ajird-838	40	1	similarly	similarly	ADV
ajird-838	40	2	,	,	PUNCT
ajird-838	40	3	the	the	DET
ajird-838	40	4	ramsay	ramsay	PROPN
ajird-838	40	5	-	-	PUNCT
ajird-838	40	6	kass	kass	PROPN
ajird-838	40	7	-	-	PUNCT
ajird-838	40	8	koopmans	koopman	NOUN
ajird-838	40	9	model	model	NOUN
ajird-838	40	10	can	can	AUX
ajird-838	40	11	investigate	investigate	VERB
ajird-838	40	12	the	the	DET
ajird-838	40	13	impact	impact	NOUN
ajird-838	40	14	of	of	ADP
ajird-838	40	15	investment	investment	NOUN
ajird-838	40	16	,	,	PUNCT
ajird-838	40	17	technological	technological	ADJ
ajird-838	40	18	progress	progress	NOUN
ajird-838	40	19	,	,	PUNCT
ajird-838	40	20	and	and	CCONJ
ajird-838	40	21	human	human	ADJ
ajird-838	40	22	capital	capital	NOUN
ajird-838	40	23	on	on	ADP
ajird-838	40	24	economic	economic	ADJ
ajird-838	40	25	growth	growth	NOUN
ajird-838	40	26	.	.	PUNCT
ajird-838	41	1	by	by	ADP
ajird-838	41	2	changing	change	VERB
ajird-838	41	3	the	the	DET
ajird-838	41	4	parameters	parameter	NOUN
ajird-838	41	5	in	in	ADP
ajird-838	41	6	the	the	DET
ajird-838	41	7	differential	differential	ADJ
ajird-838	41	8	equations	equation	NOUN
ajird-838	41	9	of	of	ADP
ajird-838	41	10	this	this	DET
ajird-838	41	11	model	model	NOUN
ajird-838	41	12	,	,	PUNCT
ajird-838	41	13	it	it	PRON
ajird-838	41	14	is	be	AUX
ajird-838	41	15	possible	possible	ADJ
ajird-838	41	16	to	to	PART
ajird-838	41	17	determine	determine	VERB
ajird-838	41	18	how	how	SCONJ
ajird-838	41	19	these	these	DET
ajird-838	41	20	factors	factor	NOUN
ajird-838	41	21	affect	affect	VERB
ajird-838	41	22	the	the	DET
ajird-838	41	23	rate	rate	NOUN
ajird-838	41	24	of	of	ADP
ajird-838	41	25	change	change	NOUN
ajird-838	41	26	of	of	ADP
ajird-838	41	27	capital	capital	NOUN
ajird-838	41	28	and	and	CCONJ
ajird-838	41	29	human	human	ADJ
ajird-838	41	30	capital	capital	NOUN
ajird-838	41	31	,	,	PUNCT
ajird-838	41	32	and	and	CCONJ
ajird-838	41	33	therefore	therefore	ADV
ajird-838	41	34	the	the	DET
ajird-838	41	35	level	level	NOUN
ajird-838	41	36	of	of	ADP
ajird-838	41	37	production	production	NOUN
ajird-838	41	38	and	and	CCONJ
ajird-838	41	39	economic	economic	ADJ
ajird-838	41	40	growth	growth	NOUN
ajird-838	41	41	.	.	PUNCT
ajird-838	42	1	this	this	PRON
ajird-838	42	2	is	be	AUX
ajird-838	42	3	a	a	DET
ajird-838	42	4	more	more	ADV
ajird-838	42	5	complex	complex	ADJ
ajird-838	42	6	model	model	NOUN
ajird-838	42	7	that	that	PRON
ajird-838	42	8	takes	take	VERB
ajird-838	42	9	into	into	ADP
ajird-838	42	10	account	account	NOUN
ajird-838	42	11	the	the	DET
ajird-838	42	12	impact	impact	NOUN
ajird-838	42	13	of	of	ADP
ajird-838	42	14	capital	capital	NOUN
ajird-838	42	15	accumulation	accumulation	NOUN
ajird-838	42	16	,	,	PUNCT
ajird-838	42	17	technological	technological	ADJ
ajird-838	42	18	progress	progress	NOUN
ajird-838	42	19	and	and	CCONJ
ajird-838	42	20	human	human	ADJ
ajird-838	42	21	capital	capital	NOUN
ajird-838	42	22	on	on	ADP
ajird-838	42	23	economic	economic	ADJ
ajird-838	42	24	growth	growth	NOUN
ajird-838	42	25	.	.	PUNCT
ajird-838	43	1	this	this	DET
ajird-838	43	2	ramsaykassa	ramsaykassa	ADJ
ajird-838	43	3	-	-	PUNCT
ajird-838	43	4	koopmans	koopman	NOUN
ajird-838	43	5	model	model	NOUN
ajird-838	43	6	takes	take	VERB
ajird-838	43	7	into	into	ADP
ajird-838	43	8	account	account	NOUN
ajird-838	43	9	the	the	DET
ajird-838	43	10	impact	impact	NOUN
ajird-838	43	11	of	of	ADP
ajird-838	43	12	capital	capital	NOUN
ajird-838	43	13	accumulation	accumulation	NOUN
ajird-838	43	14	,	,	PUNCT
ajird-838	43	15	technological	technological	ADJ
ajird-838	43	16	progress	progress	NOUN
ajird-838	43	17	and	and	CCONJ
ajird-838	43	18	human	human	ADJ
ajird-838	43	19	capital	capital	NOUN
ajird-838	43	20	on	on	ADP
ajird-838	43	21	economic	economic	ADJ
ajird-838	43	22	growth	growth	NOUN
ajird-838	43	23	.	.	PUNCT
ajird-838	44	1	the	the	DET
ajird-838	44	2	ramsay	ramsay	PROPN
ajird-838	44	3	-	-	PUNCT
ajird-838	44	4	kass	kass	PROPN
ajird-838	44	5	-	-	PUNCT
ajird-838	44	6	koopmans	koopman	NOUN
ajird-838	44	7	equation	equation	NOUN
ajird-838	44	8	can	can	AUX
ajird-838	44	9	be	be	AUX
ajird-838	44	10	of	of	ADP
ajird-838	44	11	the	the	DET
ajird-838	44	12	form	form	NOUN
ajird-838	44	13	:	:	PUNCT
ajird-838	45	1	dk	dk	X
ajird-838	45	2	/	/	SYM
ajird-838	45	3	dt	dt	PROPN
ajird-838	45	4	=	=	SYM
ajird-838	45	5	sy	sy	PROPN
ajird-838	45	6	(	(	PUNCT
ajird-838	45	7	n	n	PROPN
ajird-838	45	8	+	+	CCONJ
ajird-838	45	9	δ	δ	PROPN
ajird-838	45	10	)	)	PUNCT
ajird-838	45	11	k	k	NOUN
ajird-838	45	12	,	,	PUNCT
ajird-838	45	13	where	where	SCONJ
ajird-838	45	14	changes	change	NOUN
ajird-838	45	15	in	in	ADP
ajird-838	45	16	human	human	ADJ
ajird-838	45	17	capital	capital	NOUN
ajird-838	45	18	and	and	CCONJ
ajird-838	45	19	technological	technological	ADJ
ajird-838	45	20	progress	progress	NOUN
ajird-838	45	21	are	be	AUX
ajird-838	45	22	additionally	additionally	ADV
ajird-838	45	23	taken	take	VERB
ajird-838	45	24	into	into	ADP
ajird-838	45	25	account	account	NOUN
ajird-838	45	26	.	.	PUNCT
ajird-838	46	1	in	in	ADP
ajird-838	46	2	addition	addition	NOUN
ajird-838	46	3	to	to	ADP
ajird-838	46	4	the	the	DET
ajird-838	46	5	above	above	NOUN
ajird-838	46	6	,	,	PUNCT
ajird-838	46	7	there	there	PRON
ajird-838	46	8	is	be	VERB
ajird-838	46	9	the	the	DET
ajird-838	46	10	harrod	harrod	NOUN
ajird-838	46	11	-	-	PUNCT
ajird-838	46	12	domar	domar	NOUN
ajird-838	46	13	model	model	NOUN
ajird-838	46	14	,	,	PUNCT
ajird-838	46	15	which	which	PRON
ajird-838	46	16	connects	connect	VERB
ajird-838	46	17	investment	investment	NOUN
ajird-838	46	18	,	,	PUNCT
ajird-838	46	19	capital	capital	NOUN
ajird-838	46	20	and	and	CCONJ
ajird-838	46	21	economic	economic	ADJ
ajird-838	46	22	growth	growth	NOUN
ajird-838	46	23	.	.	PUNCT
ajird-838	47	1	the	the	DET
ajird-838	47	2	harrod	harrod	NOUN
ajird-838	47	3	-	-	PUNCT
ajird-838	47	4	domar	domar	NOUN
ajird-838	47	5	equation	equation	NOUN
ajird-838	47	6	has	have	VERB
ajird-838	47	7	the	the	DET
ajird-838	47	8	form	form	NOUN
ajird-838	47	9	:	:	PUNCT
ajird-838	47	10	g	g	PROPN
ajird-838	47	11	=	=	SYM
ajird-838	47	12	s	s	PROPN
ajird-838	47	13	/	/	SYM
ajird-838	47	14	v	v	NOUN
ajird-838	47	15	,	,	PUNCT
ajird-838	47	16	where	where	SCONJ
ajird-838	47	17	g	g	PROPN
ajird-838	47	18	is	be	AUX
ajird-838	47	19	the	the	DET
ajird-838	47	20	rate	rate	NOUN
ajird-838	47	21	of	of	ADP
ajird-838	47	22	economic	economic	ADJ
ajird-838	47	23	growth	growth	NOUN
ajird-838	47	24	,	,	PUNCT
ajird-838	47	25	s	s	VERB
ajird-838	47	26	is	be	AUX
ajird-838	47	27	the	the	DET
ajird-838	47	28	share	share	NOUN
ajird-838	47	29	of	of	ADP
ajird-838	47	30	income	income	NOUN
ajird-838	47	31	that	that	PRON
ajird-838	47	32	is	be	AUX
ajird-838	47	33	invested	invest	VERB
ajird-838	47	34	in	in	ADP
ajird-838	47	35	capital	capital	NOUN
ajird-838	47	36	,	,	PUNCT
ajird-838	47	37	v	v	NOUN
ajird-838	47	38	is	be	AUX
ajird-838	47	39	the	the	DET
ajird-838	47	40	capital	capital	NOUN
ajird-838	47	41	coefficient	coefficient	NOUN
ajird-838	47	42	.	.	PUNCT
ajird-838	48	1	as	as	ADV
ajird-838	48	2	well	well	ADV
ajird-838	48	3	as	as	ADP
ajird-838	49	1	the	the	DET
ajird-838	49	2	keynes	keynes	PROPN
ajird-838	49	3	consumption	consumption	NOUN
ajird-838	49	4	model	model	NOUN
ajird-838	49	5	,	,	PUNCT
ajird-838	49	6	which	which	PRON
ajird-838	49	7	describes	describe	VERB
ajird-838	49	8	consumption	consumption	NOUN
ajird-838	49	9	as	as	ADP
ajird-838	49	10	a	a	DET
ajird-838	49	11	function	function	NOUN
ajird-838	49	12	of	of	ADP
ajird-838	49	13	income	income	NOUN
ajird-838	49	14	.	.	PUNCT
ajird-838	50	1	the	the	DET
ajird-838	50	2	keynes	keynes	PROPN
ajird-838	50	3	consumption	consumption	NOUN
ajird-838	50	4	equation	equation	NOUN
ajird-838	50	5	can	can	AUX
ajird-838	50	6	be	be	AUX
ajird-838	50	7	represented	represent	VERB
ajird-838	50	8	as	as	ADP
ajird-838	50	9	c	c	NOUN
ajird-838	50	10	=	=	SYM
ajird-838	50	11	c0	c0	PROPN
ajird-838	50	12	+	+	CCONJ
ajird-838	50	13	c1y	c1y	NOUN
ajird-838	50	14	,	,	PUNCT
ajird-838	50	15	where	where	SCONJ
ajird-838	50	16	c	c	PROPN
ajird-838	50	17	is	be	AUX
ajird-838	50	18	consumption	consumption	NOUN
ajird-838	50	19	,	,	PUNCT
ajird-838	50	20	y	y	PROPN
ajird-838	50	21	is	be	AUX
ajird-838	50	22	income	income	NOUN
ajird-838	50	23	,	,	PUNCT
ajird-838	50	24	c0	c0	NOUN
ajird-838	50	25	and	and	CCONJ
ajird-838	50	26	c1	c1	PROPN
ajird-838	50	27	are	be	AUX
ajird-838	50	28	model	model	NOUN
ajird-838	50	29	parameters	parameter	NOUN
ajird-838	50	30	.	.	PUNCT
ajird-838	51	1	thus	thus	ADV
ajird-838	51	2	,	,	PUNCT
ajird-838	51	3	based	base	VERB
ajird-838	51	4	on	on	ADP
ajird-838	51	5	the	the	DET
ajird-838	51	6	above	above	ADJ
ajird-838	51	7	,	,	PUNCT
ajird-838	51	8	differential	differential	ADJ
ajird-838	51	9	equations	equation	NOUN
ajird-838	51	10	allow	allow	VERB
ajird-838	51	11	you	you	PRON
ajird-838	51	12	to	to	PART
ajird-838	51	13	simulate	simulate	VERB
ajird-838	51	14	the	the	DET
ajird-838	51	15	dynamics	dynamic	NOUN
ajird-838	51	16	of	of	ADP
ajird-838	51	17	changes	change	NOUN
ajird-838	51	18	in	in	ADP
ajird-838	51	19	economic	economic	ADJ
ajird-838	51	20	variables	variable	NOUN
ajird-838	51	21	over	over	ADP
ajird-838	51	22	time	time	NOUN
ajird-838	51	23	.	.	PUNCT
ajird-838	52	1	this	this	PRON
ajird-838	52	2	is	be	AUX
ajird-838	52	3	especially	especially	ADV
ajird-838	52	4	useful	useful	ADJ
ajird-838	52	5	in	in	ADP
ajird-838	52	6	studying	study	VERB
ajird-838	52	7	the	the	DET
ajird-838	52	8	processes	process	NOUN
ajird-838	52	9	of	of	ADP
ajird-838	52	10	growth	growth	NOUN
ajird-838	52	11	,	,	PUNCT
ajird-838	52	12	investment	investment	NOUN
ajird-838	52	13	,	,	PUNCT
ajird-838	52	14	consumption	consumption	NOUN
ajird-838	52	15	and	and	CCONJ
ajird-838	52	16	other	other	ADJ
ajird-838	52	17	economic	economic	ADJ
ajird-838	52	18	phenomena	phenomenon	NOUN
ajird-838	52	19	that	that	PRON
ajird-838	52	20	change	change	VERB
ajird-838	52	21	over	over	ADP
ajird-838	52	22	time	time	NOUN
ajird-838	52	23	.	.	PUNCT
ajird-838	53	1	differential	differential	ADJ
ajird-838	53	2	equations	equation	NOUN
ajird-838	53	3	allow	allow	VERB
ajird-838	53	4	one	one	PRON
ajird-838	53	5	to	to	PART
ajird-838	53	6	analyze	analyze	VERB
ajird-838	53	7	how	how	SCONJ
ajird-838	53	8	these	these	DET
ajird-838	53	9	variables	variable	NOUN
ajird-838	53	10	change	change	VERB
ajird-838	53	11	over	over	ADP
ajird-838	53	12	time	time	NOUN
ajird-838	53	13	and	and	CCONJ
ajird-838	53	14	what	what	DET
ajird-838	53	15	factors	factor	NOUN
ajird-838	53	16	influence	influence	VERB
ajird-838	53	17	their	their	PRON
ajird-838	53	18	dynamics	dynamic	NOUN
ajird-838	53	19	.	.	PUNCT
ajird-838	54	1	the	the	DET
ajird-838	54	2	use	use	NOUN
ajird-838	54	3	of	of	ADP
ajird-838	54	4	differential	differential	ADJ
ajird-838	54	5	equations	equation	NOUN
ajird-838	54	6	makes	make	VERB
ajird-838	54	7	it	it	PRON
ajird-838	54	8	possible	possible	ADJ
ajird-838	54	9	to	to	PART
ajird-838	54	10	predict	predict	VERB
ajird-838	54	11	and	and	CCONJ
ajird-838	54	12	plan	plan	VERB
ajird-838	54	13	economic	economic	ADJ
ajird-838	54	14	phenomena	phenomenon	NOUN
ajird-838	54	15	and	and	CCONJ
ajird-838	54	16	processes	process	NOUN
ajird-838	54	17	.	.	PUNCT
ajird-838	55	1	for	for	ADP
ajird-838	55	2	example	example	NOUN
ajird-838	55	3	,	,	PUNCT
ajird-838	55	4	growth	growth	NOUN
ajird-838	55	5	models	model	NOUN
ajird-838	55	6	based	base	VERB
ajird-838	55	7	on	on	ADP
ajird-838	55	8	differential	differential	ADJ
ajird-838	55	9	equations	equation	NOUN
ajird-838	55	10	make	make	VERB
ajird-838	55	11	it	it	PRON
ajird-838	55	12	possible	possible	ADJ
ajird-838	55	13	to	to	PART
ajird-838	55	14	predict	predict	VERB
ajird-838	55	15	long	long	ADJ
ajird-838	55	16	-	-	PUNCT
ajird-838	55	17	term	term	NOUN
ajird-838	55	18	trends	trend	NOUN
ajird-838	55	19	in	in	ADP
ajird-838	55	20	the	the	DET
ajird-838	55	21	economy	economy	NOUN
ajird-838	55	22	and	and	CCONJ
ajird-838	55	23	assess	assess	VERB
ajird-838	55	24	the	the	DET
ajird-838	55	25	impact	impact	NOUN
ajird-838	55	26	of	of	ADP
ajird-838	55	27	various	various	ADJ
ajird-838	55	28	factors	factor	NOUN
ajird-838	55	29	on	on	ADP
ajird-838	55	30	economic	economic	ADJ
ajird-838	55	31	growth	growth	NOUN
ajird-838	55	32	.	.	PUNCT
ajird-838	56	1	this	this	PRON
ajird-838	56	2	helps	help	VERB
ajird-838	56	3	to	to	PART
ajird-838	56	4	make	make	VERB
ajird-838	56	5	informed	informed	ADJ
ajird-838	56	6	decisions	decision	NOUN
ajird-838	56	7	and	and	CCONJ
ajird-838	56	8	develop	develop	VERB
ajird-838	56	9	strategies	strategy	NOUN
ajird-838	56	10	to	to	PART
ajird-838	56	11	achieve	achieve	VERB
ajird-838	56	12	the	the	DET
ajird-838	56	13	desired	desire	VERB
ajird-838	56	14	economic	economic	ADJ
ajird-838	56	15	results	result	NOUN
ajird-838	56	16	.	.	PUNCT
ajird-838	57	1	differential	differential	ADJ
ajird-838	57	2	equations	equation	NOUN
ajird-838	57	3	allow	allow	VERB
ajird-838	57	4	you	you	PRON
ajird-838	57	5	to	to	PART
ajird-838	57	6	analyze	analyze	VERB
ajird-838	57	7	the	the	DET
ajird-838	57	8	influence	influence	NOUN
ajird-838	57	9	of	of	ADP
ajird-838	57	10	various	various	ADJ
ajird-838	57	11	factors	factor	NOUN
ajird-838	57	12	on	on	ADP
ajird-838	57	13	economic	economic	ADJ
ajird-838	57	14	variables	variable	NOUN
ajird-838	57	15	.	.	PUNCT
ajird-838	58	1	for	for	ADP
ajird-838	58	2	example	example	NOUN
ajird-838	58	3	,	,	PUNCT
ajird-838	58	4	using	use	VERB
ajird-838	58	5	differential	differential	ADJ
ajird-838	58	6	equations	equation	NOUN
ajird-838	58	7	,	,	PUNCT
ajird-838	58	8	you	you	PRON
ajird-838	58	9	can	can	AUX
ajird-838	58	10	estimate	estimate	VERB
ajird-838	58	11	how	how	SCONJ
ajird-838	58	12	a	a	DET
ajird-838	58	13	change	change	NOUN
ajird-838	58	14	in	in	ADP
ajird-838	58	15	tax	tax	NOUN
ajird-838	58	16	rate	rate	NOUN
ajird-838	58	17	or	or	CCONJ
ajird-838	58	18	investment	investment	NOUN
ajird-838	58	19	policy	policy	NOUN
ajird-838	58	20	can	can	AUX
ajird-838	58	21	affect	affect	VERB
ajird-838	58	22	the	the	DET
ajird-838	58	23	level	level	NOUN
ajird-838	58	24	of	of	ADP
ajird-838	58	25	production	production	NOUN
ajird-838	58	26	or	or	CCONJ
ajird-838	58	27	consumption	consumption	NOUN
ajird-838	58	28	.	.	PUNCT
ajird-838	59	1	this	this	PRON
ajird-838	59	2	helps	help	VERB
ajird-838	59	3	economists	economist	NOUN
ajird-838	59	4	and	and	CCONJ
ajird-838	59	5	decision	decision	NOUN
ajird-838	59	6	-	-	PUNCT
ajird-838	59	7	makers	maker	NOUN
ajird-838	59	8	understand	understand	VERB
ajird-838	59	9	which	which	DET
ajird-838	59	10	factors	factor	NOUN
ajird-838	59	11	are	be	AUX
ajird-838	59	12	key	key	ADJ
ajird-838	59	13	to	to	ADP
ajird-838	59	14	achieving	achieve	VERB
ajird-838	59	15	certain	certain	ADJ
ajird-838	59	16	economic	economic	ADJ
ajird-838	59	17	goals	goal	NOUN
ajird-838	59	18	.	.	PUNCT
ajird-838	60	1	differential	differential	ADJ
ajird-838	60	2	equations	equation	NOUN
ajird-838	60	3	allow	allow	VERB
ajird-838	60	4	you	you	PRON
ajird-838	60	5	to	to	PART
ajird-838	60	6	develop	develop	VERB
ajird-838	60	7	optimal	optimal	ADJ
ajird-838	60	8	strategies	strategy	NOUN
ajird-838	60	9	for	for	ADP
ajird-838	60	10	solving	solve	VERB
ajird-838	60	11	economic	economic	ADJ
ajird-838	60	12	problems	problem	NOUN
ajird-838	60	13	.	.	PUNCT
ajird-838	61	1	for	for	ADP
ajird-838	61	2	example	example	NOUN
ajird-838	61	3	,	,	PUNCT
ajird-838	61	4	differential	differential	ADJ
ajird-838	61	5	equations	equation	NOUN
ajird-838	61	6	can	can	AUX
ajird-838	61	7	determine	determine	VERB
ajird-838	61	8	optimal	optimal	ADJ
ajird-838	61	9	investment	investment	NOUN
ajird-838	61	10	strategies	strategy	NOUN
ajird-838	61	11	american	american	ADJ
ajird-838	61	12	journal	journal	PROPN
ajird-838	61	13	of	of	ADP
ajird-838	61	14	interdisciplinary	interdisciplinary	ADJ
ajird-838	61	15	research	research	NOUN
ajird-838	61	16	and	and	CCONJ
ajird-838	61	17	development	development	NOUN
ajird-838	61	18	issn	issn	PROPN
ajird-838	61	19	online	online	NOUN
ajird-838	61	20	:	:	PUNCT
ajird-838	61	21	2771	2771	NUM
ajird-838	61	22	-	-	SYM
ajird-838	61	23	8948	8948	NUM
ajird-838	61	24	website	website	NOUN
ajird-838	61	25	:	:	PUNCT
ajird-838	61	26	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-838	61	27	volume	volume	NOUN
ajird-838	61	28	22	22	NUM
ajird-838	61	29	,	,	PUNCT
ajird-838	61	30	november	november	PROPN
ajird-838	61	31	,	,	PUNCT
ajird-838	61	32	2023	2023	NUM
ajird-838	61	33	117	117	NUM
ajird-838	61	34	|	|	ADV
ajird-838	61	35	p	p	NOUN
ajird-838	61	36	a	a	DET
ajird-838	61	37	g	g	NOUN
ajird-838	61	38	e	e	NOUN
ajird-838	61	39	or	or	CCONJ
ajird-838	61	40	policies	policy	NOUN
ajird-838	61	41	to	to	PART
ajird-838	61	42	stimulate	stimulate	VERB
ajird-838	61	43	economic	economic	ADJ
ajird-838	61	44	growth	growth	NOUN
ajird-838	61	45	.	.	PUNCT
ajird-838	62	1	this	this	PRON
ajird-838	62	2	helps	help	VERB
ajird-838	62	3	to	to	PART
ajird-838	62	4	optimize	optimize	VERB
ajird-838	62	5	the	the	DET
ajird-838	62	6	use	use	NOUN
ajird-838	62	7	of	of	ADP
ajird-838	62	8	resources	resource	NOUN
ajird-838	62	9	and	and	CCONJ
ajird-838	62	10	achieve	achieve	VERB
ajird-838	62	11	the	the	DET
ajird-838	62	12	best	good	ADJ
ajird-838	62	13	results	result	NOUN
ajird-838	62	14	in	in	ADP
ajird-838	62	15	the	the	DET
ajird-838	62	16	economy	economy	NOUN
ajird-838	62	17	.	.	PUNCT
ajird-838	63	1	references	reference	NOUN
ajird-838	63	2	1	1	NUM
ajird-838	63	3	.	.	PUNCT
ajird-838	63	4	r.	r.	PROPN
ajird-838	63	5	solow	solow	PROPN
ajird-838	63	6	.	.	PUNCT
ajird-838	64	1	mu	mu	PROPN
ajird-838	64	2	evolution	evolution	PROPN
ajird-838	64	3	as	as	ADP
ajird-838	64	4	an	an	DET
ajird-838	64	5	economiste	economiste	NOUN
ajird-838	64	6	in	in	ADP
ajird-838	64	7	prince	prince	PROPN
ajird-838	64	8	w.	w.	PROPN
ajird-838	64	9	breit	breit	PROPN
ajird-838	64	10	and	and	CCONJ
ajird-838	64	11	r.	r.	PROPN
ajird-838	64	12	w.	w.	PROPN
ajird-838	64	13	spencer	spencer	PROPN
ajird-838	64	14	(	(	PUNCT
ajird-838	64	15	eds	ed	NOUN
ajird-838	64	16	)	)	PUNCT
ajird-838	64	17	.	.	PUNCT
ajird-838	65	1	lives	life	NOUN
ajird-838	65	2	of	of	ADP
ajird-838	65	3	the	the	DET
ajird-838	65	4	lauréates	lauréate	NOUN
ajird-838	65	5	:	:	PUNCT
ajird-838	65	6	ten	ten	NUM
ajird-838	65	7	nobel	nobel	PROPN
ajird-838	65	8	economists	economist	NOUN
ajird-838	65	9	(	(	PUNCT
ajird-838	65	10	mit	mit	PROPN
ajird-838	65	11	press	press	NOUN
ajird-838	65	12	,	,	PUNCT
ajird-838	65	13	1990	1990	NUM
ajird-838	65	14	)	)	PUNCT
ajird-838	65	15	;	;	PUNCT
ajird-838	65	16	2.r	2.r	NUM
ajird-838	65	17	.	.	PUNCT
ajird-838	66	1	solow	solow	PROPN
ajird-838	66	2	.	.	PUNCT
ajird-838	67	1	notes	note	NOUN
ajird-838	67	2	on	on	ADP
ajird-838	67	3	coping	cope	VERB
ajird-838	67	4	,	,	PUNCT
ajird-838	67	5	in	in	ADP
ajird-838	67	6	prince	prince	PROPN
ajird-838	67	7	m.	m.	PROPN
ajird-838	67	8	szenberg	szenberg	PROPN
ajird-838	67	9	(	(	PUNCT
ajird-838	67	10	ed	ed	NOUN
ajird-838	67	11	.	.	PUNCT
ajird-838	67	12	)	)	PUNCT
ajird-838	67	13	.	.	PUNCT
ajird-838	68	1	eminent	eminent	ADJ
ajird-838	68	2	economists	economist	NOUN
ajird-838	68	3	(	(	PUNCT
ajird-838	68	4	cambridge	cambridge	PROPN
ajird-838	68	5	university	university	PROPN
ajird-838	68	6	press	press	NOUN
ajird-838	68	7	,	,	PUNCT
ajird-838	68	8	1992	1992	NUM
ajird-838	68	9	)	)	PUNCT
ajird-838	68	10	.	.	PUNCT
ajird-838	69	1	3	3	X
ajird-838	69	2	.	.	X
ajird-838	69	3	shandra	shandra	PROPN
ajird-838	69	4	i.	i.	PROPN
ajird-838	69	5	g.	g.	PROPN
ajird-838	69	6	mathematical	mathematical	PROPN
ajird-838	69	7	economics	economic	NOUN
ajird-838	69	8	:	:	PUNCT
ajird-838	69	9	textbook	textbook	NOUN
ajird-838	69	10	for	for	ADP
ajird-838	69	11	undergraduate	undergraduate	NOUN
ajird-838	69	12	and	and	CCONJ
ajird-838	69	13	graduate	graduate	ADJ
ajird-838	69	14	students	student	NOUN
ajird-838	69	15	of	of	ADP
ajird-838	69	16	economic	economic	ADJ
ajird-838	69	17	universities	university	NOUN
ajird-838	69	18	and	and	CCONJ
ajird-838	69	19	faculties	faculty	NOUN
ajird-838	69	20	moscow	moscow	PROPN
ajird-838	69	21	:	:	PUNCT
ajird-838	69	22	prometheus	prometheus	PROPN
ajird-838	69	23	,	,	PUNCT
ajird-838	69	24	2018	2018	NUM
ajird-838	69	25	.	.	PUNCT
ajird-838	70	1	176	176	NUM
ajird-838	70	2	p.	p.	NOUN