id	sid	tid	token	lemma	pos
ajird-910	1	1	american	american	PROPN
ajird-910	1	2	journal	journal	PROPN
ajird-910	1	3	of	of	ADP
ajird-910	1	4	interdisciplinary	interdisciplinary	ADJ
ajird-910	1	5	research	research	NOUN
ajird-910	1	6	and	and	CCONJ
ajird-910	1	7	development	development	NOUN
ajird-910	1	8	issn	issn	PROPN
ajird-910	1	9	online	online	NOUN
ajird-910	1	10	:	:	PUNCT
ajird-910	1	11	2771	2771	NUM
ajird-910	1	12	-	-	SYM
ajird-910	1	13	8948	8948	NUM
ajird-910	1	14	website	website	NOUN
ajird-910	1	15	:	:	PUNCT
ajird-910	1	16	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-910	1	17	volume	volume	NOUN
ajird-910	1	18	23	23	NUM
ajird-910	1	19	,	,	PUNCT
ajird-910	1	20	december	december	PROPN
ajird-910	1	21	,	,	PUNCT
ajird-910	1	22	2023	2023	NUM
ajird-910	1	23	296	296	NUM
ajird-910	1	24	|	|	ADV
ajird-910	1	25	p	p	NOUN
ajird-910	1	26	a	a	DET
ajird-910	1	27	g	g	NOUN
ajird-910	1	28	e	e	NOUN
ajird-910	1	29	mathematical	mathematical	ADJ
ajird-910	1	30	analysis	analysis	NOUN
ajird-910	1	31	and	and	CCONJ
ajird-910	1	32	statistics	statistic	NOUN
ajird-910	1	33	maksetova	maksetova	PROPN
ajird-910	1	34	zuhra	zuhra	PROPN
ajird-910	1	35	kabulovna	kabulovna	VERB
ajird-910	1	36	tsiu	tsiu	PROPN
ajird-910	1	37	academic	academic	ADJ
ajird-910	1	38	lyceum	lyceum	NOUN
ajird-910	1	39	teacher	teacher	NOUN
ajird-910	1	40	of	of	ADP
ajird-910	1	41	the	the	DET
ajird-910	1	42	higher	high	ADJ
ajird-910	1	43	category	category	NOUN
ajird-910	1	44	of	of	ADP
ajird-910	1	45	mathematics	mathematic	NOUN
ajird-910	1	46	zukhra.maksetova@bk.ru	zukhra.maksetova@bk.ru	PROPN
ajird-910	1	47	913741969	913741969	NUM
ajird-910	1	48	annotation	annotation	NOUN
ajird-910	1	49	:	:	PUNCT
ajird-910	1	50	in	in	ADP
ajird-910	1	51	the	the	DET
ajird-910	1	52	vast	vast	ADJ
ajird-910	1	53	realm	realm	NOUN
ajird-910	1	54	of	of	ADP
ajird-910	1	55	mathematics	mathematic	NOUN
ajird-910	1	56	,	,	PUNCT
ajird-910	1	57	two	two	NUM
ajird-910	1	58	pillars	pillar	NOUN
ajird-910	1	59	stand	stand	VERB
ajird-910	1	60	prominentlymathematical	prominentlymathematical	ADJ
ajird-910	1	61	analysis	analysis	NOUN
ajird-910	1	62	and	and	CCONJ
ajird-910	1	63	statistics	statistic	NOUN
ajird-910	1	64	.	.	PUNCT
ajird-910	2	1	these	these	DET
ajird-910	2	2	fields	field	NOUN
ajird-910	2	3	,	,	PUNCT
ajird-910	2	4	while	while	SCONJ
ajird-910	2	5	distinct	distinct	ADJ
ajird-910	2	6	in	in	ADP
ajird-910	2	7	their	their	PRON
ajird-910	2	8	focus	focus	NOUN
ajird-910	2	9	,	,	PUNCT
ajird-910	2	10	share	share	VERB
ajird-910	2	11	an	an	DET
ajird-910	2	12	intertwined	intertwine	VERB
ajird-910	2	13	relationship	relationship	NOUN
ajird-910	2	14	that	that	PRON
ajird-910	2	15	underpins	underpin	VERB
ajird-910	2	16	their	their	PRON
ajird-910	2	17	importance	importance	NOUN
ajird-910	2	18	across	across	ADP
ajird-910	2	19	various	various	ADJ
ajird-910	2	20	disciplines	discipline	NOUN
ajird-910	2	21	.	.	PUNCT
ajird-910	3	1	as	as	SCONJ
ajird-910	3	2	we	we	PRON
ajird-910	3	3	delve	delve	VERB
ajird-910	3	4	into	into	ADP
ajird-910	3	5	the	the	DET
ajird-910	3	6	intricate	intricate	ADJ
ajird-910	3	7	world	world	NOUN
ajird-910	3	8	of	of	ADP
ajird-910	3	9	numbers	number	NOUN
ajird-910	3	10	,	,	PUNCT
ajird-910	3	11	patterns	pattern	NOUN
ajird-910	3	12	,	,	PUNCT
ajird-910	3	13	and	and	CCONJ
ajird-910	3	14	data	datum	NOUN
ajird-910	3	15	,	,	PUNCT
ajird-910	3	16	a	a	DET
ajird-910	3	17	deeper	deep	ADJ
ajird-910	3	18	understanding	understanding	NOUN
ajird-910	3	19	of	of	ADP
ajird-910	3	20	mathematical	mathematical	ADJ
ajird-910	3	21	analysis	analysis	NOUN
ajird-910	3	22	and	and	CCONJ
ajird-910	3	23	statistics	statistic	NOUN
ajird-910	3	24	unveils	unveil	VERB
ajird-910	3	25	their	their	PRON
ajird-910	3	26	pivotal	pivotal	ADJ
ajird-910	3	27	roles	role	NOUN
ajird-910	3	28	in	in	ADP
ajird-910	3	29	shaping	shape	VERB
ajird-910	3	30	our	our	PRON
ajird-910	3	31	comprehension	comprehension	NOUN
ajird-910	3	32	of	of	ADP
ajird-910	3	33	the	the	DET
ajird-910	3	34	world	world	NOUN
ajird-910	3	35	.	.	PUNCT
ajird-910	4	1	keywords	keyword	NOUN
ajird-910	4	2	:	:	PUNCT
ajird-910	5	1	mathematics	mathematic	NOUN
ajird-910	5	2	,	,	PUNCT
ajird-910	5	3	patterns	pattern	NOUN
ajird-910	5	4	,	,	PUNCT
ajird-910	5	5	numbers	number	NOUN
ajird-910	5	6	,	,	PUNCT
ajird-910	5	7	mathematical	mathematical	ADJ
ajird-910	5	8	analysis	analysis	NOUN
ajird-910	5	9	,	,	PUNCT
ajird-910	5	10	statistics	statistic	NOUN
ajird-910	5	11	,	,	PUNCT
ajird-910	5	12	mathematical	mathematical	ADJ
ajird-910	5	13	concepts	concept	NOUN
ajird-910	5	14	,	,	PUNCT
ajird-910	5	15	limits	limit	NOUN
ajird-910	5	16	,	,	PUNCT
ajird-910	5	17	continuity	continuity	NOUN
ajird-910	5	18	,	,	PUNCT
ajird-910	5	19	differentiability	differentiability	NOUN
ajird-910	5	20	,	,	PUNCT
ajird-910	5	21	applications	application	NOUN
ajird-910	5	22	of	of	ADP
ajird-910	5	23	mathematical	mathematical	ADJ
ajird-910	5	24	analysis	analysis	NOUN
ajird-910	5	25	,	,	PUNCT
ajird-910	5	26	physics	physics	NOUN
ajird-910	5	27	,	,	PUNCT
ajird-910	5	28	engineering	engineering	NOUN
ajird-910	5	29	,	,	PUNCT
ajird-910	5	30	economics	economic	NOUN
ajird-910	5	31	,	,	PUNCT
ajird-910	5	32	statistical	statistical	ADJ
ajird-910	5	33	methods	method	NOUN
ajird-910	5	34	.	.	PUNCT
ajird-910	6	1	introduction	introduction	NOUN
ajird-910	6	2	at	at	ADP
ajird-910	6	3	its	its	PRON
ajird-910	6	4	core	core	NOUN
ajird-910	6	5	,	,	PUNCT
ajird-910	6	6	mathematical	mathematical	ADJ
ajird-910	6	7	analysis	analysis	NOUN
ajird-910	6	8	involves	involve	VERB
ajird-910	6	9	the	the	DET
ajird-910	6	10	exploration	exploration	NOUN
ajird-910	6	11	of	of	ADP
ajird-910	6	12	fundamental	fundamental	ADJ
ajird-910	6	13	mathematical	mathematical	ADJ
ajird-910	6	14	concepts	concept	NOUN
ajird-910	6	15	to	to	PART
ajird-910	6	16	comprehend	comprehend	VERB
ajird-910	6	17	the	the	DET
ajird-910	6	18	properties	property	NOUN
ajird-910	6	19	of	of	ADP
ajird-910	6	20	functions	function	NOUN
ajird-910	6	21	and	and	CCONJ
ajird-910	6	22	sequences	sequence	NOUN
ajird-910	6	23	.	.	PUNCT
ajird-910	7	1	it	it	PRON
ajird-910	7	2	is	be	AUX
ajird-910	7	3	the	the	DET
ajird-910	7	4	bedrock	bedrock	NOUN
ajird-910	7	5	upon	upon	SCONJ
ajird-910	7	6	which	which	PRON
ajird-910	7	7	various	various	ADJ
ajird-910	7	8	mathematical	mathematical	ADJ
ajird-910	7	9	theories	theory	NOUN
ajird-910	7	10	and	and	CCONJ
ajird-910	7	11	applications	application	NOUN
ajird-910	7	12	rest	rest	VERB
ajird-910	7	13	.	.	PUNCT
ajird-910	8	1	simultaneously	simultaneously	ADV
ajird-910	8	2	,	,	PUNCT
ajird-910	8	3	statistics	statistic	NOUN
ajird-910	8	4	delves	delve	VERB
ajird-910	8	5	into	into	ADP
ajird-910	8	6	the	the	DET
ajird-910	8	7	world	world	NOUN
ajird-910	8	8	of	of	ADP
ajird-910	8	9	data	datum	NOUN
ajird-910	8	10	,	,	PUNCT
ajird-910	8	11	providing	provide	VERB
ajird-910	8	12	tools	tool	NOUN
ajird-910	8	13	and	and	CCONJ
ajird-910	8	14	methods	method	NOUN
ajird-910	8	15	for	for	ADP
ajird-910	8	16	collecting	collecting	NOUN
ajird-910	8	17	,	,	PUNCT
ajird-910	8	18	analyzing	analyzing	NOUN
ajird-910	8	19	,	,	PUNCT
ajird-910	8	20	interpreting	interpreting	NOUN
ajird-910	8	21	,	,	PUNCT
ajird-910	8	22	and	and	CCONJ
ajird-910	8	23	presenting	present	VERB
ajird-910	8	24	information	information	NOUN
ajird-910	8	25	.	.	PUNCT
ajird-910	9	1	together	together	ADV
ajird-910	9	2	,	,	PUNCT
ajird-910	9	3	these	these	DET
ajird-910	9	4	disciplines	discipline	NOUN
ajird-910	9	5	contribute	contribute	VERB
ajird-910	9	6	significantly	significantly	ADV
ajird-910	9	7	to	to	PART
ajird-910	9	8	diverse	diverse	VERB
ajird-910	9	9	fields	field	NOUN
ajird-910	9	10	,	,	PUNCT
ajird-910	9	11	from	from	ADP
ajird-910	9	12	the	the	DET
ajird-910	9	13	pure	pure	ADJ
ajird-910	9	14	sciences	science	NOUN
ajird-910	9	15	to	to	ADP
ajird-910	9	16	the	the	DET
ajird-910	9	17	complexities	complexity	NOUN
ajird-910	9	18	of	of	ADP
ajird-910	9	19	social	social	ADJ
ajird-910	9	20	dynamics	dynamic	NOUN
ajird-910	9	21	and	and	CCONJ
ajird-910	9	22	business	business	NOUN
ajird-910	9	23	landscapes	landscape	NOUN
ajird-910	9	24	.	.	PUNCT
ajird-910	10	1	mathematics	mathematic	NOUN
ajird-910	10	2	and	and	CCONJ
ajird-910	10	3	statistics	statistic	NOUN
ajird-910	10	4	,	,	PUNCT
ajird-910	10	5	often	often	ADV
ajird-910	10	6	perceived	perceive	VERB
ajird-910	10	7	as	as	ADP
ajird-910	10	8	separate	separate	ADJ
ajird-910	10	9	entities	entity	NOUN
ajird-910	10	10	,	,	PUNCT
ajird-910	10	11	engage	engage	VERB
ajird-910	10	12	in	in	ADP
ajird-910	10	13	a	a	DET
ajird-910	10	14	captivating	captivating	ADJ
ajird-910	10	15	waltz	waltz	NOUN
ajird-910	10	16	throughout	throughout	ADP
ajird-910	10	17	the	the	DET
ajird-910	10	18	scientific	scientific	ADJ
ajird-910	10	19	quest	quest	NOUN
ajird-910	10	20	for	for	ADP
ajird-910	10	21	understanding	understanding	NOUN
ajird-910	10	22	.	.	PUNCT
ajird-910	11	1	while	while	SCONJ
ajird-910	11	2	mathematical	mathematical	ADJ
ajird-910	11	3	analysis	analysis	NOUN
ajird-910	11	4	lays	lay	VERB
ajird-910	11	5	the	the	DET
ajird-910	11	6	rigorous	rigorous	ADJ
ajird-910	11	7	foundation	foundation	NOUN
ajird-910	11	8	,	,	PUNCT
ajird-910	11	9	statistics	statistic	NOUN
ajird-910	11	10	provides	provide	VERB
ajird-910	11	11	the	the	DET
ajird-910	11	12	tools	tool	NOUN
ajird-910	11	13	to	to	PART
ajird-910	11	14	navigate	navigate	VERB
ajird-910	11	15	the	the	DET
ajird-910	11	16	labyrinth	labyrinth	NOUN
ajird-910	11	17	of	of	ADP
ajird-910	11	18	data	datum	NOUN
ajird-910	11	19	,	,	PUNCT
ajird-910	11	20	revealing	reveal	VERB
ajird-910	11	21	hidden	hide	VERB
ajird-910	11	22	patterns	pattern	NOUN
ajird-910	11	23	and	and	CCONJ
ajird-910	11	24	drawing	draw	VERB
ajird-910	11	25	informed	informed	ADJ
ajird-910	11	26	conclusions	conclusion	NOUN
ajird-910	11	27	.	.	PUNCT
ajird-910	12	1	this	this	DET
ajird-910	12	2	article	article	NOUN
ajird-910	12	3	delves	delve	VERB
ajird-910	12	4	into	into	ADP
ajird-910	12	5	the	the	DET
ajird-910	12	6	intricate	intricate	ADJ
ajird-910	12	7	relationship	relationship	NOUN
ajird-910	12	8	between	between	ADP
ajird-910	12	9	these	these	DET
ajird-910	12	10	two	two	NUM
ajird-910	12	11	disciplines	discipline	NOUN
ajird-910	12	12	,	,	PUNCT
ajird-910	12	13	showcasing	showcase	VERB
ajird-910	12	14	their	their	PRON
ajird-910	12	15	interdependence	interdependence	NOUN
ajird-910	12	16	and	and	CCONJ
ajird-910	12	17	highlighting	highlight	VERB
ajird-910	12	18	their	their	PRON
ajird-910	12	19	combined	combine	VERB
ajird-910	12	20	power	power	NOUN
ajird-910	12	21	to	to	PART
ajird-910	12	22	illuminate	illuminate	VERB
ajird-910	12	23	the	the	DET
ajird-910	12	24	world	world	NOUN
ajird-910	12	25	around	around	ADP
ajird-910	12	26	us	we	PRON
ajird-910	12	27	.	.	PUNCT
ajird-910	13	1	mathematical	mathematical	ADJ
ajird-910	13	2	analysis	analysis	NOUN
ajird-910	13	3	:	:	PUNCT
ajird-910	13	4	the	the	DET
ajird-910	13	5	bedrock	bedrock	NOUN
ajird-910	13	6	of	of	ADP
ajird-910	13	7	rigor	rigor	NOUN
ajird-910	13	8	:	:	PUNCT
ajird-910	13	9	imagine	imagine	VERB
ajird-910	13	10	a	a	DET
ajird-910	13	11	sturdy	sturdy	ADJ
ajird-910	13	12	building	building	NOUN
ajird-910	13	13	–	–	PUNCT
ajird-910	13	14	analysis	analysis	NOUN
ajird-910	13	15	provides	provide	VERB
ajird-910	13	16	the	the	DET
ajird-910	13	17	concrete	concrete	NOUN
ajird-910	13	18	and	and	CCONJ
ajird-910	13	19	steel	steel	NOUN
ajird-910	13	20	,	,	PUNCT
ajird-910	13	21	ensuring	ensure	VERB
ajird-910	13	22	its	its	PRON
ajird-910	13	23	structural	structural	ADJ
ajird-910	13	24	integrity	integrity	NOUN
ajird-910	13	25	.	.	PUNCT
ajird-910	14	1	this	this	DET
ajird-910	14	2	branch	branch	NOUN
ajird-910	14	3	of	of	ADP
ajird-910	14	4	mathematics	mathematics	NOUN
ajird-910	14	5	concerns	concern	VERB
ajird-910	14	6	itself	itself	PRON
ajird-910	14	7	with	with	ADP
ajird-910	14	8	the	the	DET
ajird-910	14	9	precise	precise	ADJ
ajird-910	14	10	study	study	NOUN
ajird-910	14	11	of	of	ADP
ajird-910	14	12	functions	function	NOUN
ajird-910	14	13	,	,	PUNCT
ajird-910	14	14	limits	limit	NOUN
ajird-910	14	15	,	,	PUNCT
ajird-910	14	16	continuity	continuity	NOUN
ajird-910	14	17	,	,	PUNCT
ajird-910	14	18	and	and	CCONJ
ajird-910	14	19	convergence	convergence	NOUN
ajird-910	14	20	.	.	PUNCT
ajird-910	15	1	it	it	PRON
ajird-910	15	2	equips	equip	VERB
ajird-910	15	3	us	we	PRON
ajird-910	15	4	with	with	ADP
ajird-910	15	5	powerful	powerful	ADJ
ajird-910	15	6	tools	tool	NOUN
ajird-910	15	7	like	like	ADP
ajird-910	15	8	differentiation	differentiation	NOUN
ajird-910	15	9	and	and	CCONJ
ajird-910	15	10	integration	integration	NOUN
ajird-910	15	11	,	,	PUNCT
ajird-910	15	12	allowing	allow	VERB
ajird-910	15	13	us	we	PRON
ajird-910	15	14	to	to	PART
ajird-910	15	15	dissect	dissect	VERB
ajird-910	15	16	the	the	DET
ajird-910	15	17	behavior	behavior	NOUN
ajird-910	15	18	of	of	ADP
ajird-910	15	19	functions	function	NOUN
ajird-910	15	20	with	with	ADP
ajird-910	15	21	meticulous	meticulous	ADJ
ajird-910	15	22	detail	detail	NOUN
ajird-910	15	23	.	.	PUNCT
ajird-910	16	1	these	these	DET
ajird-910	16	2	tools	tool	NOUN
ajird-910	16	3	become	become	VERB
ajird-910	16	4	instrumental	instrumental	ADJ
ajird-910	16	5	in	in	ADP
ajird-910	16	6	areas	area	NOUN
ajird-910	16	7	ranging	range	VERB
ajird-910	16	8	from	from	ADP
ajird-910	16	9	calculus	calculus	NOUN
ajird-910	16	10	and	and	CCONJ
ajird-910	16	11	optimization	optimization	NOUN
ajird-910	16	12	to	to	PART
ajird-910	16	13	signal	signal	VERB
ajird-910	16	14	processing	processing	NOUN
ajird-910	16	15	and	and	CCONJ
ajird-910	16	16	theoretical	theoretical	ADJ
ajird-910	16	17	physics	physics	NOUN
ajird-910	16	18	.	.	PUNCT
ajird-910	17	1	statistics	statistic	NOUN
ajird-910	17	2	:	:	PUNCT
ajird-910	17	3	unveiling	unveil	VERB
ajird-910	17	4	the	the	DET
ajird-910	17	5	secrets	secret	NOUN
ajird-910	17	6	of	of	ADP
ajird-910	17	7	data	datum	NOUN
ajird-910	17	8	:	:	PUNCT
ajird-910	17	9	statistics	statistic	NOUN
ajird-910	17	10	,	,	PUNCT
ajird-910	17	11	akin	akin	ADJ
ajird-910	17	12	to	to	ADP
ajird-910	17	13	a	a	DET
ajird-910	17	14	skilled	skilled	ADJ
ajird-910	17	15	architect	architect	NOUN
ajird-910	17	16	,	,	PUNCT
ajird-910	17	17	transforms	transform	VERB
ajird-910	17	18	piles	pile	NOUN
ajird-910	17	19	of	of	ADP
ajird-910	17	20	information	information	NOUN
ajird-910	17	21	into	into	ADP
ajird-910	17	22	meaningful	meaningful	ADJ
ajird-910	17	23	structures	structure	NOUN
ajird-910	17	24	.	.	PUNCT
ajird-910	18	1	it	it	PRON
ajird-910	18	2	encompasses	encompass	VERB
ajird-910	18	3	the	the	DET
ajird-910	18	4	collection	collection	NOUN
ajird-910	18	5	,	,	PUNCT
ajird-910	18	6	analysis	analysis	NOUN
ajird-910	18	7	,	,	PUNCT
ajird-910	18	8	interpretation	interpretation	NOUN
ajird-910	18	9	,	,	PUNCT
ajird-910	18	10	and	and	CCONJ
ajird-910	18	11	presentation	presentation	NOUN
ajird-910	18	12	of	of	ADP
ajird-910	18	13	data	datum	NOUN
ajird-910	18	14	,	,	PUNCT
ajird-910	18	15	empowering	empower	VERB
ajird-910	18	16	us	we	PRON
ajird-910	18	17	to	to	PART
ajird-910	18	18	gather	gather	VERB
ajird-910	18	19	insights	insight	NOUN
ajird-910	18	20	from	from	ADP
ajird-910	18	21	seemingly	seemingly	ADV
ajird-910	18	22	american	american	ADJ
ajird-910	18	23	journal	journal	PROPN
ajird-910	18	24	of	of	ADP
ajird-910	18	25	interdisciplinary	interdisciplinary	ADJ
ajird-910	18	26	research	research	NOUN
ajird-910	18	27	and	and	CCONJ
ajird-910	18	28	development	development	NOUN
ajird-910	18	29	issn	issn	PROPN
ajird-910	18	30	online	online	NOUN
ajird-910	18	31	:	:	PUNCT
ajird-910	18	32	2771	2771	NUM
ajird-910	18	33	-	-	SYM
ajird-910	18	34	8948	8948	NUM
ajird-910	18	35	website	website	NOUN
ajird-910	18	36	:	:	PUNCT
ajird-910	18	37	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-910	18	38	volume	volume	NOUN
ajird-910	18	39	23	23	NUM
ajird-910	18	40	,	,	PUNCT
ajird-910	18	41	december	december	PROPN
ajird-910	18	42	,	,	PUNCT
ajird-910	18	43	2023	2023	NUM
ajird-910	18	44	297	297	NUM
ajird-910	19	1	|	|	ADV
ajird-910	19	2	p	p	NOUN
ajird-910	19	3	a	a	DET
ajird-910	19	4	g	g	NOUN
ajird-910	19	5	e	e	X
ajird-910	19	6	chaotic	chaotic	ADJ
ajird-910	19	7	sets	set	NOUN
ajird-910	19	8	of	of	ADP
ajird-910	19	9	numbers	number	NOUN
ajird-910	19	10	.	.	PUNCT
ajird-910	20	1	whether	whether	SCONJ
ajird-910	20	2	traversing	traverse	VERB
ajird-910	20	3	the	the	DET
ajird-910	20	4	realm	realm	NOUN
ajird-910	20	5	of	of	ADP
ajird-910	20	6	finance	finance	NOUN
ajird-910	20	7	,	,	PUNCT
ajird-910	20	8	predicting	predict	VERB
ajird-910	20	9	election	election	NOUN
ajird-910	20	10	outcomes	outcome	NOUN
ajird-910	20	11	,	,	PUNCT
ajird-910	20	12	or	or	CCONJ
ajird-910	20	13	analyzing	analyze	VERB
ajird-910	20	14	trends	trend	NOUN
ajird-910	20	15	in	in	ADP
ajird-910	20	16	healthcare	healthcare	PROPN
ajird-910	20	17	,	,	PUNCT
ajird-910	20	18	statistical	statistical	ADJ
ajird-910	20	19	techniques	technique	NOUN
ajird-910	20	20	like	like	ADP
ajird-910	20	21	hypothesis	hypothesis	NOUN
ajird-910	20	22	testing	testing	NOUN
ajird-910	20	23	,	,	PUNCT
ajird-910	20	24	regression	regression	VERB
ajird-910	20	25	analysis	analysis	NOUN
ajird-910	20	26	,	,	PUNCT
ajird-910	20	27	and	and	CCONJ
ajird-910	20	28	bayesian	bayesian	NOUN
ajird-910	20	29	inference	inference	NOUN
ajird-910	20	30	guide	guide	VERB
ajird-910	20	31	us	we	PRON
ajird-910	20	32	through	through	ADP
ajird-910	20	33	the	the	DET
ajird-910	20	34	maze	maze	NOUN
ajird-910	20	35	of	of	ADP
ajird-910	20	36	uncertainty	uncertainty	NOUN
ajird-910	20	37	,	,	PUNCT
ajird-910	20	38	allowing	allow	VERB
ajird-910	20	39	us	we	PRON
ajird-910	20	40	to	to	PART
ajird-910	20	41	draw	draw	VERB
ajird-910	20	42	conclusions	conclusion	NOUN
ajird-910	20	43	with	with	ADP
ajird-910	20	44	quantifiable	quantifiable	ADJ
ajird-910	20	45	confidence	confidence	NOUN
ajird-910	20	46	.	.	PUNCT
ajird-910	21	1	a	a	DET
ajird-910	21	2	tangled	tangled	ADJ
ajird-910	21	3	tango	tango	NOUN
ajird-910	21	4	:	:	PUNCT
ajird-910	21	5	where	where	SCONJ
ajird-910	21	6	the	the	DET
ajird-910	21	7	two	two	NUM
ajird-910	21	8	worlds	world	NOUN
ajird-910	21	9	collide	collide	VERB
ajird-910	21	10	:	:	PUNCT
ajird-910	21	11	the	the	DET
ajird-910	21	12	beauty	beauty	NOUN
ajird-910	21	13	of	of	ADP
ajird-910	21	14	this	this	DET
ajird-910	21	15	relationship	relationship	NOUN
ajird-910	21	16	lies	lie	VERB
ajird-910	21	17	in	in	ADP
ajird-910	21	18	its	its	PRON
ajird-910	21	19	symbiotic	symbiotic	ADJ
ajird-910	21	20	nature	nature	NOUN
ajird-910	21	21	.	.	PUNCT
ajird-910	22	1	statistical	statistical	ADJ
ajird-910	22	2	methods	method	NOUN
ajird-910	22	3	rely	rely	VERB
ajird-910	22	4	heavily	heavily	ADV
ajird-910	22	5	on	on	ADP
ajird-910	22	6	the	the	DET
ajird-910	22	7	firm	firm	ADJ
ajird-910	22	8	foundation	foundation	NOUN
ajird-910	22	9	laid	lay	VERB
ajird-910	22	10	by	by	ADP
ajird-910	22	11	analysis	analysis	NOUN
ajird-910	22	12	.	.	PUNCT
ajird-910	23	1	concepts	concept	NOUN
ajird-910	23	2	like	like	ADP
ajird-910	23	3	limit	limit	VERB
ajird-910	23	4	theorems	theorem	NOUN
ajird-910	23	5	provide	provide	VERB
ajird-910	23	6	the	the	DET
ajird-910	23	7	theoretical	theoretical	ADJ
ajird-910	23	8	underpinnings	underpinning	NOUN
ajird-910	23	9	for	for	ADP
ajird-910	23	10	hypothesis	hypothesis	NOUN
ajird-910	23	11	testing	testing	NOUN
ajird-910	23	12	,	,	PUNCT
ajird-910	23	13	while	while	SCONJ
ajird-910	23	14	tools	tool	NOUN
ajird-910	23	15	like	like	ADP
ajird-910	23	16	linear	linear	PROPN
ajird-910	23	17	algebra	algebra	PROPN
ajird-910	23	18	underpin	underpin	VERB
ajird-910	23	19	sophisticated	sophisticated	ADJ
ajird-910	23	20	regression	regression	NOUN
ajird-910	23	21	models	model	NOUN
ajird-910	23	22	.	.	PUNCT
ajird-910	24	1	on	on	ADP
ajird-910	24	2	the	the	DET
ajird-910	24	3	other	other	ADJ
ajird-910	24	4	hand	hand	NOUN
ajird-910	24	5	,	,	PUNCT
ajird-910	24	6	statistics	statistic	NOUN
ajird-910	24	7	breathes	breathe	VERB
ajird-910	24	8	life	life	NOUN
ajird-910	24	9	into	into	ADP
ajird-910	24	10	mathematical	mathematical	ADJ
ajird-910	24	11	analysis	analysis	NOUN
ajird-910	24	12	,	,	PUNCT
ajird-910	24	13	providing	provide	VERB
ajird-910	24	14	compelling	compelling	ADJ
ajird-910	24	15	applications	application	NOUN
ajird-910	24	16	for	for	ADP
ajird-910	24	17	its	its	PRON
ajird-910	24	18	abstract	abstract	ADJ
ajird-910	24	19	concepts	concept	NOUN
ajird-910	24	20	.	.	PUNCT
ajird-910	25	1	the	the	DET
ajird-910	25	2	rigorous	rigorous	ADJ
ajird-910	25	3	framework	framework	NOUN
ajird-910	25	4	of	of	ADP
ajird-910	25	5	analysis	analysis	NOUN
ajird-910	25	6	allows	allow	VERB
ajird-910	25	7	us	we	PRON
ajird-910	25	8	to	to	PART
ajird-910	25	9	model	model	VERB
ajird-910	25	10	real	real	ADJ
ajird-910	25	11	-	-	PUNCT
ajird-910	25	12	world	world	NOUN
ajird-910	25	13	phenomena	phenomenon	NOUN
ajird-910	25	14	with	with	ADP
ajird-910	25	15	precision	precision	NOUN
ajird-910	25	16	,	,	PUNCT
ajird-910	25	17	while	while	SCONJ
ajird-910	25	18	statistical	statistical	ADJ
ajird-910	25	19	techniques	technique	NOUN
ajird-910	25	20	equip	equip	VERB
ajird-910	25	21	us	we	PRON
ajird-910	25	22	to	to	PART
ajird-910	25	23	gather	gather	VERB
ajird-910	25	24	evidence	evidence	NOUN
ajird-910	25	25	and	and	CCONJ
ajird-910	25	26	validate	validate	VERB
ajird-910	25	27	these	these	DET
ajird-910	25	28	models	model	NOUN
ajird-910	25	29	.	.	PUNCT
ajird-910	26	1	case	case	NOUN
ajird-910	26	2	studies	study	NOUN
ajird-910	26	3	:	:	PUNCT
ajird-910	26	4	witnessing	witness	VERB
ajird-910	26	5	the	the	DET
ajird-910	26	6	synergy	synergy	NOUN
ajird-910	26	7	:	:	PUNCT
ajird-910	26	8	consider	consider	VERB
ajird-910	26	9	the	the	DET
ajird-910	26	10	intricate	intricate	ADJ
ajird-910	26	11	choreography	choreography	NOUN
ajird-910	26	12	of	of	ADP
ajird-910	26	13	optimizing	optimize	VERB
ajird-910	26	14	stock	stock	NOUN
ajird-910	26	15	portfolios	portfolio	NOUN
ajird-910	26	16	.	.	PUNCT
ajird-910	27	1	the	the	DET
ajird-910	27	2	analysis	analysis	NOUN
ajird-910	27	3	provides	provide	VERB
ajird-910	27	4	the	the	DET
ajird-910	27	5	tools	tool	NOUN
ajird-910	27	6	to	to	PART
ajird-910	27	7	model	model	VERB
ajird-910	27	8	expected	expect	VERB
ajird-910	27	9	returns	return	NOUN
ajird-910	27	10	and	and	CCONJ
ajird-910	27	11	risks	risk	NOUN
ajird-910	27	12	,	,	PUNCT
ajird-910	27	13	while	while	SCONJ
ajird-910	27	14	statistical	statistical	ADJ
ajird-910	27	15	techniques	technique	NOUN
ajird-910	27	16	like	like	ADP
ajird-910	27	17	mean	mean	ADJ
ajird-910	27	18	-	-	PUNCT
ajird-910	27	19	variance	variance	NOUN
ajird-910	27	20	optimization	optimization	NOUN
ajird-910	27	21	help	help	NOUN
ajird-910	27	22	identify	identify	VERB
ajird-910	27	23	the	the	DET
ajird-910	27	24	optimal	optimal	ADJ
ajird-910	27	25	allocation	allocation	NOUN
ajird-910	27	26	of	of	ADP
ajird-910	27	27	assets	asset	NOUN
ajird-910	27	28	.	.	PUNCT
ajird-910	28	1	similarly	similarly	ADV
ajird-910	28	2	,	,	PUNCT
ajird-910	28	3	in	in	ADP
ajird-910	28	4	medical	medical	ADJ
ajird-910	28	5	research	research	NOUN
ajird-910	28	6	,	,	PUNCT
ajird-910	28	7	analyzing	analyze	VERB
ajird-910	28	8	gene	gene	NOUN
ajird-910	28	9	expression	expression	NOUN
ajird-910	28	10	data	datum	NOUN
ajird-910	28	11	using	use	VERB
ajird-910	28	12	sophisticated	sophisticated	ADJ
ajird-910	28	13	statistical	statistical	ADJ
ajird-910	28	14	models	model	NOUN
ajird-910	28	15	like	like	ADP
ajird-910	28	16	principal	principal	ADJ
ajird-910	28	17	component	component	NOUN
ajird-910	28	18	analysis	analysis	NOUN
ajird-910	28	19	allows	allow	VERB
ajird-910	28	20	scientists	scientist	NOUN
ajird-910	28	21	to	to	PART
ajird-910	28	22	identify	identify	VERB
ajird-910	28	23	patterns	pattern	NOUN
ajird-910	28	24	and	and	CCONJ
ajird-910	28	25	uncover	uncover	VERB
ajird-910	28	26	potential	potential	ADJ
ajird-910	28	27	disease	disease	NOUN
ajird-910	28	28	markers	marker	NOUN
ajird-910	28	29	,	,	PUNCT
ajird-910	28	30	paving	pave	VERB
ajird-910	28	31	the	the	DET
ajird-910	28	32	way	way	NOUN
ajird-910	28	33	for	for	ADP
ajird-910	28	34	targeted	target	VERB
ajird-910	28	35	therapies	therapy	NOUN
ajird-910	28	36	.	.	PUNCT
ajird-910	29	1	beyond	beyond	ADP
ajird-910	29	2	the	the	DET
ajird-910	29	3	numbers	number	NOUN
ajird-910	29	4	:	:	PUNCT
ajird-910	29	5	the	the	DET
ajird-910	29	6	human	human	ADJ
ajird-910	29	7	connection	connection	NOUN
ajird-910	29	8	:	:	PUNCT
ajird-910	29	9	the	the	DET
ajird-910	29	10	value	value	NOUN
ajird-910	29	11	of	of	ADP
ajird-910	29	12	this	this	DET
ajird-910	29	13	synergistic	synergistic	ADJ
ajird-910	29	14	dance	dance	NOUN
ajird-910	29	15	extends	extend	VERB
ajird-910	29	16	far	far	ADV
ajird-910	29	17	beyond	beyond	ADP
ajird-910	29	18	mere	mere	ADJ
ajird-910	29	19	numbers	number	NOUN
ajird-910	29	20	.	.	PUNCT
ajird-910	30	1	mathematical	mathematical	ADJ
ajird-910	30	2	analysis	analysis	NOUN
ajird-910	30	3	and	and	CCONJ
ajird-910	30	4	statistics	statistic	NOUN
ajird-910	30	5	empower	empower	VERB
ajird-910	30	6	us	we	PRON
ajird-910	30	7	to	to	PART
ajird-910	30	8	make	make	VERB
ajird-910	30	9	informed	informed	ADJ
ajird-910	30	10	decisions	decision	NOUN
ajird-910	30	11	in	in	ADP
ajird-910	30	12	everyday	everyday	ADJ
ajird-910	30	13	life	life	NOUN
ajird-910	30	14	,	,	PUNCT
ajird-910	30	15	navigate	navigate	VERB
ajird-910	30	16	complex	complex	ADJ
ajird-910	30	17	social	social	ADJ
ajird-910	30	18	issues	issue	NOUN
ajird-910	30	19	,	,	PUNCT
ajird-910	30	20	and	and	CCONJ
ajird-910	30	21	contribute	contribute	VERB
ajird-910	30	22	to	to	ADP
ajird-910	30	23	advancements	advancement	NOUN
ajird-910	30	24	in	in	ADP
ajird-910	30	25	fields	field	NOUN
ajird-910	30	26	like	like	ADP
ajird-910	30	27	healthcare	healthcare	NOUN
ajird-910	30	28	,	,	PUNCT
ajird-910	30	29	finance	finance	NOUN
ajird-910	30	30	,	,	PUNCT
ajird-910	30	31	and	and	CCONJ
ajird-910	30	32	technology	technology	NOUN
ajird-910	30	33	.	.	PUNCT
ajird-910	31	1	understanding	understand	VERB
ajird-910	31	2	the	the	DET
ajird-910	31	3	relationship	relationship	NOUN
ajird-910	31	4	between	between	ADP
ajird-910	31	5	these	these	DET
ajird-910	31	6	disciplines	discipline	NOUN
ajird-910	31	7	enables	enable	VERB
ajird-910	31	8	us	we	PRON
ajird-910	31	9	to	to	PART
ajird-910	31	10	critically	critically	ADV
ajird-910	31	11	evaluate	evaluate	VERB
ajird-910	31	12	information	information	NOUN
ajird-910	31	13	,	,	PUNCT
ajird-910	31	14	interpret	interpret	VERB
ajird-910	31	15	data	datum	NOUN
ajird-910	31	16	with	with	ADP
ajird-910	31	17	nuance	nuance	NOUN
ajird-910	31	18	,	,	PUNCT
ajird-910	31	19	and	and	CCONJ
ajird-910	31	20	ultimately	ultimately	ADV
ajird-910	31	21	,	,	PUNCT
ajird-910	31	22	make	make	VERB
ajird-910	31	23	informed	informed	ADJ
ajird-910	31	24	choices	choice	NOUN
ajird-910	31	25	about	about	ADP
ajird-910	31	26	the	the	DET
ajird-910	31	27	world	world	NOUN
ajird-910	31	28	around	around	ADP
ajird-910	31	29	us	we	PRON
ajird-910	31	30	.	.	PUNCT
ajird-910	32	1	a	a	DET
ajird-910	32	2	call	call	NOUN
ajird-910	32	3	to	to	PART
ajird-910	32	4	embrace	embrace	VERB
ajird-910	32	5	the	the	DET
ajird-910	32	6	ensemble	ensemble	ADJ
ajird-910	32	7	:	:	PUNCT
ajird-910	32	8	as	as	SCONJ
ajird-910	32	9	we	we	PRON
ajird-910	32	10	move	move	VERB
ajird-910	32	11	forward	forward	ADV
ajird-910	32	12	,	,	PUNCT
ajird-910	32	13	it	it	PRON
ajird-910	32	14	is	be	AUX
ajird-910	32	15	crucial	crucial	ADJ
ajird-910	32	16	to	to	PART
ajird-910	32	17	recognize	recognize	VERB
ajird-910	32	18	the	the	DET
ajird-910	32	19	intricate	intricate	ADJ
ajird-910	32	20	interplay	interplay	NOUN
ajird-910	32	21	between	between	ADP
ajird-910	32	22	mathematical	mathematical	ADJ
ajird-910	32	23	analysis	analysis	NOUN
ajird-910	32	24	and	and	CCONJ
ajird-910	32	25	statistics	statistic	NOUN
ajird-910	32	26	.	.	PUNCT
ajird-910	33	1	both	both	PRON
ajird-910	33	2	are	be	AUX
ajird-910	33	3	essential	essential	ADJ
ajird-910	33	4	players	player	NOUN
ajird-910	33	5	in	in	ADP
ajird-910	33	6	the	the	DET
ajird-910	33	7	grand	grand	ADJ
ajird-910	33	8	orchestra	orchestra	NOUN
ajird-910	33	9	of	of	ADP
ajird-910	33	10	scientific	scientific	ADJ
ajird-910	33	11	inquiry	inquiry	NOUN
ajird-910	33	12	,	,	PUNCT
ajird-910	33	13	each	each	PRON
ajird-910	33	14	contributing	contribute	VERB
ajird-910	33	15	unique	unique	ADJ
ajird-910	33	16	melodies	melody	NOUN
ajird-910	33	17	to	to	ADP
ajird-910	33	18	the	the	DET
ajird-910	33	19	symphony	symphony	NOUN
ajird-910	33	20	of	of	ADP
ajird-910	33	21	knowledge	knowledge	NOUN
ajird-910	33	22	.	.	PUNCT
ajird-910	34	1	by	by	ADP
ajird-910	34	2	fostering	foster	VERB
ajird-910	34	3	a	a	DET
ajird-910	34	4	deeper	deep	ADJ
ajird-910	34	5	understanding	understanding	NOUN
ajird-910	34	6	of	of	ADP
ajird-910	34	7	their	their	PRON
ajird-910	34	8	interdependence	interdependence	NOUN
ajird-910	34	9	,	,	PUNCT
ajird-910	34	10	we	we	PRON
ajird-910	34	11	equip	equip	VERB
ajird-910	34	12	ourselves	ourselves	PRON
ajird-910	34	13	with	with	ADP
ajird-910	34	14	the	the	DET
ajird-910	34	15	tools	tool	NOUN
ajird-910	34	16	to	to	PART
ajird-910	34	17	unlock	unlock	VERB
ajird-910	34	18	the	the	DET
ajird-910	34	19	secrets	secret	NOUN
ajird-910	34	20	of	of	ADP
ajird-910	34	21	data	datum	NOUN
ajird-910	34	22	,	,	PUNCT
ajird-910	34	23	navigate	navigate	VERB
ajird-910	34	24	the	the	DET
ajird-910	34	25	uncertainties	uncertainty	NOUN
ajird-910	34	26	of	of	ADP
ajird-910	34	27	our	our	PRON
ajird-910	34	28	world	world	NOUN
ajird-910	34	29	,	,	PUNCT
ajird-910	34	30	and	and	CCONJ
ajird-910	34	31	ultimately	ultimately	ADV
ajird-910	34	32	,	,	PUNCT
ajird-910	34	33	shape	shape	VERB
ajird-910	34	34	a	a	DET
ajird-910	34	35	future	future	NOUN
ajird-910	34	36	informed	inform	VERB
ajird-910	34	37	by	by	ADP
ajird-910	34	38	both	both	DET
ajird-910	34	39	rigor	rigor	NOUN
ajird-910	34	40	and	and	CCONJ
ajird-910	34	41	insight	insight	NOUN
ajird-910	34	42	.	.	PUNCT
ajird-910	35	1	the	the	DET
ajird-910	35	2	essence	essence	NOUN
ajird-910	35	3	of	of	ADP
ajird-910	35	4	mathematical	mathematical	ADJ
ajird-910	35	5	analysis	analysis	NOUN
ajird-910	35	6	:	:	PUNCT
ajird-910	35	7	mathematical	mathematical	ADJ
ajird-910	35	8	analysis	analysis	NOUN
ajird-910	35	9	,	,	PUNCT
ajird-910	35	10	with	with	ADP
ajird-910	35	11	its	its	PRON
ajird-910	35	12	roots	root	NOUN
ajird-910	35	13	in	in	ADP
ajird-910	35	14	calculus	calculus	NOUN
ajird-910	35	15	and	and	CCONJ
ajird-910	35	16	advanced	advanced	ADJ
ajird-910	35	17	mathematical	mathematical	ADJ
ajird-910	35	18	concepts	concept	NOUN
ajird-910	35	19	,	,	PUNCT
ajird-910	35	20	serves	serve	VERB
ajird-910	35	21	as	as	ADP
ajird-910	35	22	a	a	DET
ajird-910	35	23	cornerstone	cornerstone	NOUN
ajird-910	35	24	for	for	ADP
ajird-910	35	25	understanding	understand	VERB
ajird-910	35	26	the	the	DET
ajird-910	35	27	fundamental	fundamental	ADJ
ajird-910	35	28	principles	principle	NOUN
ajird-910	35	29	that	that	PRON
ajird-910	35	30	govern	govern	VERB
ajird-910	35	31	our	our	PRON
ajird-910	35	32	universe	universe	NOUN
ajird-910	35	33	.	.	PUNCT
ajird-910	36	1	the	the	DET
ajird-910	36	2	study	study	NOUN
ajird-910	36	3	of	of	ADP
ajird-910	36	4	limits	limit	NOUN
ajird-910	36	5	,	,	PUNCT
ajird-910	36	6	continuity	continuity	NOUN
ajird-910	36	7	,	,	PUNCT
ajird-910	36	8	and	and	CCONJ
ajird-910	36	9	differentiability	differentiability	NOUN
ajird-910	36	10	enables	enable	VERB
ajird-910	36	11	us	we	PRON
ajird-910	36	12	to	to	PART
ajird-910	36	13	model	model	VERB
ajird-910	36	14	and	and	CCONJ
ajird-910	36	15	predict	predict	VERB
ajird-910	36	16	the	the	DET
ajird-910	36	17	behavior	behavior	NOUN
ajird-910	36	18	of	of	ADP
ajird-910	36	19	complex	complex	ADJ
ajird-910	36	20	systems	system	NOUN
ajird-910	36	21	.	.	PUNCT
ajird-910	37	1	as	as	SCONJ
ajird-910	37	2	we	we	PRON
ajird-910	37	3	navigate	navigate	VERB
ajird-910	37	4	through	through	ADP
ajird-910	37	5	the	the	DET
ajird-910	37	6	intricacies	intricacy	NOUN
ajird-910	37	7	of	of	ADP
ajird-910	37	8	mathematical	mathematical	ADJ
ajird-910	37	9	analysis	analysis	NOUN
ajird-910	37	10	,	,	PUNCT
ajird-910	37	11	we	we	PRON
ajird-910	37	12	encounter	encounter	VERB
ajird-910	37	13	its	its	PRON
ajird-910	37	14	pervasive	pervasive	ADJ
ajird-910	37	15	influence	influence	NOUN
ajird-910	37	16	in	in	ADP
ajird-910	37	17	fields	field	NOUN
ajird-910	37	18	such	such	ADJ
ajird-910	37	19	as	as	ADP
ajird-910	37	20	physics	physics	NOUN
ajird-910	37	21	,	,	PUNCT
ajird-910	37	22	engineering	engineering	NOUN
ajird-910	37	23	,	,	PUNCT
ajird-910	37	24	and	and	CCONJ
ajird-910	37	25	economics	economic	NOUN
ajird-910	37	26	.	.	PUNCT
ajird-910	38	1	from	from	ADP
ajird-910	38	2	the	the	DET
ajird-910	38	3	trajectory	trajectory	NOUN
ajird-910	38	4	of	of	ADP
ajird-910	38	5	a	a	DET
ajird-910	38	6	projectile	projectile	NOUN
ajird-910	38	7	to	to	ADP
ajird-910	38	8	the	the	DET
ajird-910	38	9	optimization	optimization	NOUN
ajird-910	38	10	of	of	ADP
ajird-910	38	11	financial	financial	ADJ
ajird-910	38	12	models	model	NOUN
ajird-910	38	13	,	,	PUNCT
ajird-910	38	14	mathematical	mathematical	ADJ
ajird-910	38	15	analysis	analysis	NOUN
ajird-910	38	16	provides	provide	VERB
ajird-910	38	17	the	the	DET
ajird-910	38	18	tools	tool	NOUN
ajird-910	38	19	necessary	necessary	ADJ
ajird-910	38	20	for	for	ADP
ajird-910	38	21	problem	problem	NOUN
ajird-910	38	22	-	-	PUNCT
ajird-910	38	23	solving	solve	VERB
ajird-910	38	24	and	and	CCONJ
ajird-910	38	25	decision	decision	NOUN
ajird-910	38	26	-	-	PUNCT
ajird-910	38	27	making	making	NOUN
ajird-910	38	28	.	.	PUNCT
ajird-910	39	1	applications	application	NOUN
ajird-910	39	2	across	across	ADP
ajird-910	39	3	disciplines	discipline	NOUN
ajird-910	39	4	:	:	PUNCT
ajird-910	39	5	the	the	DET
ajird-910	39	6	applications	application	NOUN
ajird-910	39	7	of	of	ADP
ajird-910	39	8	mathematical	mathematical	ADJ
ajird-910	39	9	analysis	analysis	NOUN
ajird-910	39	10	extend	extend	VERB
ajird-910	39	11	far	far	ADV
ajird-910	39	12	beyond	beyond	ADP
ajird-910	39	13	the	the	DET
ajird-910	39	14	confines	confine	NOUN
ajird-910	39	15	of	of	ADP
ajird-910	39	16	theoretical	theoretical	ADJ
ajird-910	39	17	mathematics	mathematic	NOUN
ajird-910	39	18	.	.	PUNCT
ajird-910	40	1	in	in	ADP
ajird-910	40	2	physics	physics	PROPN
ajird-910	40	3	,	,	PUNCT
ajird-910	40	4	it	it	PRON
ajird-910	40	5	allows	allow	VERB
ajird-910	40	6	us	we	PRON
ajird-910	40	7	to	to	PART
ajird-910	40	8	describe	describe	VERB
ajird-910	40	9	motion	motion	NOUN
ajird-910	40	10	,	,	PUNCT
ajird-910	40	11	predict	predict	VERB
ajird-910	40	12	celestial	celestial	ADJ
ajird-910	40	13	events	event	NOUN
ajird-910	40	14	,	,	PUNCT
ajird-910	40	15	and	and	CCONJ
ajird-910	40	16	model	model	ADJ
ajird-910	40	17	physical	physical	ADJ
ajird-910	40	18	phenomena	phenomenon	NOUN
ajird-910	40	19	.	.	PUNCT
ajird-910	41	1	engineering	engineering	NOUN
ajird-910	41	2	relies	rely	VERB
ajird-910	41	3	on	on	ADP
ajird-910	41	4	mathematical	mathematical	ADJ
ajird-910	41	5	american	american	PROPN
ajird-910	41	6	journal	journal	PROPN
ajird-910	41	7	of	of	ADP
ajird-910	41	8	interdisciplinary	interdisciplinary	ADJ
ajird-910	41	9	research	research	NOUN
ajird-910	41	10	and	and	CCONJ
ajird-910	41	11	development	development	NOUN
ajird-910	41	12	issn	issn	PROPN
ajird-910	41	13	online	online	NOUN
ajird-910	41	14	:	:	PUNCT
ajird-910	41	15	2771	2771	NUM
ajird-910	41	16	-	-	SYM
ajird-910	41	17	8948	8948	NUM
ajird-910	41	18	website	website	NOUN
ajird-910	41	19	:	:	PUNCT
ajird-910	41	20	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-910	41	21	volume	volume	NOUN
ajird-910	41	22	23	23	NUM
ajird-910	41	23	,	,	PUNCT
ajird-910	41	24	december	december	PROPN
ajird-910	41	25	,	,	PUNCT
ajird-910	41	26	2023	2023	NUM
ajird-910	41	27	298	298	NUM
ajird-910	42	1	|	|	ADV
ajird-910	42	2	p	p	X
ajird-910	42	3	a	a	DET
ajird-910	42	4	g	g	NOUN
ajird-910	42	5	e	e	NOUN
ajird-910	42	6	analysis	analysis	NOUN
ajird-910	42	7	for	for	ADP
ajird-910	42	8	structural	structural	ADJ
ajird-910	42	9	design	design	NOUN
ajird-910	42	10	,	,	PUNCT
ajird-910	42	11	signal	signal	NOUN
ajird-910	42	12	processing	processing	NOUN
ajird-910	42	13	,	,	PUNCT
ajird-910	42	14	and	and	CCONJ
ajird-910	42	15	system	system	NOUN
ajird-910	42	16	optimization	optimization	NOUN
ajird-910	42	17	.	.	PUNCT
ajird-910	43	1	economic	economic	ADJ
ajird-910	43	2	models	model	NOUN
ajird-910	43	3	,	,	PUNCT
ajird-910	43	4	too	too	ADV
ajird-910	43	5	,	,	PUNCT
ajird-910	43	6	find	find	VERB
ajird-910	43	7	their	their	PRON
ajird-910	43	8	roots	root	NOUN
ajird-910	43	9	in	in	ADP
ajird-910	43	10	mathematical	mathematical	ADJ
ajird-910	43	11	analysis	analysis	NOUN
ajird-910	43	12	,	,	PUNCT
ajird-910	43	13	providing	provide	VERB
ajird-910	43	14	a	a	DET
ajird-910	43	15	framework	framework	NOUN
ajird-910	43	16	for	for	ADP
ajird-910	43	17	understanding	understand	VERB
ajird-910	43	18	market	market	NOUN
ajird-910	43	19	dynamics	dynamic	NOUN
ajird-910	43	20	and	and	CCONJ
ajird-910	43	21	making	make	VERB
ajird-910	43	22	informed	informed	ADJ
ajird-910	43	23	decisions	decision	NOUN
ajird-910	43	24	.	.	PUNCT
ajird-910	44	1	statistics	statistic	NOUN
ajird-910	44	2	unveiled	unveil	VERB
ajird-910	44	3	:	:	PUNCT
ajird-910	44	4	on	on	ADP
ajird-910	44	5	the	the	DET
ajird-910	44	6	other	other	ADJ
ajird-910	44	7	side	side	NOUN
ajird-910	44	8	of	of	ADP
ajird-910	44	9	the	the	DET
ajird-910	44	10	mathematical	mathematical	ADJ
ajird-910	44	11	spectrum	spectrum	NOUN
ajird-910	44	12	lies	lie	VERB
ajird-910	44	13	statistics	statistic	NOUN
ajird-910	44	14	,	,	PUNCT
ajird-910	44	15	a	a	DET
ajird-910	44	16	discipline	discipline	NOUN
ajird-910	44	17	that	that	PRON
ajird-910	44	18	brings	bring	VERB
ajird-910	44	19	order	order	NOUN
ajird-910	44	20	to	to	ADP
ajird-910	44	21	the	the	DET
ajird-910	44	22	chaos	chaos	NOUN
ajird-910	44	23	of	of	ADP
ajird-910	44	24	data	data	PROPN
ajird-910	44	25	.	.	PUNCT
ajird-910	45	1	statistics	statistic	NOUN
ajird-910	45	2	empowers	empower	VERB
ajird-910	45	3	us	we	PRON
ajird-910	45	4	to	to	PART
ajird-910	45	5	distill	distill	VERB
ajird-910	45	6	meaning	meaning	NOUN
ajird-910	45	7	from	from	ADP
ajird-910	45	8	datasets	dataset	NOUN
ajird-910	45	9	,	,	PUNCT
ajird-910	45	10	providing	provide	VERB
ajird-910	45	11	the	the	DET
ajird-910	45	12	tools	tool	NOUN
ajird-910	45	13	needed	need	VERB
ajird-910	45	14	to	to	PART
ajird-910	45	15	summarize	summarize	VERB
ajird-910	45	16	,	,	PUNCT
ajird-910	45	17	interpret	interpret	VERB
ajird-910	45	18	,	,	PUNCT
ajird-910	45	19	and	and	CCONJ
ajird-910	45	20	draw	draw	VERB
ajird-910	45	21	conclusions	conclusion	NOUN
ajird-910	45	22	.	.	PUNCT
ajird-910	46	1	concepts	concept	NOUN
ajird-910	46	2	such	such	ADJ
ajird-910	46	3	as	as	ADP
ajird-910	46	4	mean	mean	ADJ
ajird-910	46	5	,	,	PUNCT
ajird-910	46	6	median	median	ADJ
ajird-910	46	7	,	,	PUNCT
ajird-910	46	8	and	and	CCONJ
ajird-910	46	9	standard	standard	ADJ
ajird-910	46	10	deviation	deviation	NOUN
ajird-910	46	11	become	become	VERB
ajird-910	46	12	the	the	DET
ajird-910	46	13	compass	compass	ADJ
ajird-910	46	14	guiding	guide	VERB
ajird-910	46	15	researchers	researcher	NOUN
ajird-910	46	16	and	and	CCONJ
ajird-910	46	17	decision	decision	NOUN
ajird-910	46	18	-	-	PUNCT
ajird-910	46	19	makers	maker	NOUN
ajird-910	46	20	through	through	ADP
ajird-910	46	21	the	the	DET
ajird-910	46	22	vast	vast	ADJ
ajird-910	46	23	sea	sea	NOUN
ajird-910	46	24	of	of	ADP
ajird-910	46	25	information	information	NOUN
ajird-910	46	26	.	.	PUNCT
ajird-910	47	1	statistical	statistical	ADJ
ajird-910	47	2	tools	tool	NOUN
ajird-910	47	3	and	and	CCONJ
ajird-910	47	4	techniques	technique	NOUN
ajird-910	47	5	:	:	PUNCT
ajird-910	47	6	moving	move	VERB
ajird-910	47	7	beyond	beyond	ADP
ajird-910	47	8	the	the	DET
ajird-910	47	9	basics	basic	NOUN
ajird-910	48	1	,	,	PUNCT
ajird-910	48	2	statistics	statistic	NOUN
ajird-910	48	3	introduces	introduce	VERB
ajird-910	48	4	an	an	DET
ajird-910	48	5	array	array	NOUN
ajird-910	48	6	of	of	ADP
ajird-910	48	7	tools	tool	NOUN
ajird-910	48	8	and	and	CCONJ
ajird-910	48	9	techniques	technique	NOUN
ajird-910	48	10	.	.	PUNCT
ajird-910	49	1	hypothesis	hypothesis	NOUN
ajird-910	49	2	testing	testing	NOUN
ajird-910	49	3	allows	allow	VERB
ajird-910	49	4	us	we	PRON
ajird-910	49	5	to	to	PART
ajird-910	49	6	make	make	VERB
ajird-910	49	7	informed	informed	ADJ
ajird-910	49	8	decisions	decision	NOUN
ajird-910	49	9	based	base	VERB
ajird-910	49	10	on	on	ADP
ajird-910	49	11	sample	sample	NOUN
ajird-910	49	12	data	datum	NOUN
ajird-910	49	13	,	,	PUNCT
ajird-910	49	14	while	while	SCONJ
ajird-910	49	15	regression	regression	VERB
ajird-910	49	16	analysis	analysis	NOUN
ajird-910	49	17	uncovers	uncover	NOUN
ajird-910	49	18	relationships	relationship	NOUN
ajird-910	49	19	between	between	ADP
ajird-910	49	20	variables	variable	NOUN
ajird-910	49	21	.	.	PUNCT
ajird-910	50	1	bayesian	bayesian	NOUN
ajird-910	50	2	statistics	statistic	NOUN
ajird-910	50	3	,	,	PUNCT
ajird-910	50	4	a	a	DET
ajird-910	50	5	powerful	powerful	ADJ
ajird-910	50	6	branch	branch	NOUN
ajird-910	50	7	of	of	ADP
ajird-910	50	8	the	the	DET
ajird-910	50	9	field	field	NOUN
ajird-910	50	10	,	,	PUNCT
ajird-910	50	11	provides	provide	VERB
ajird-910	50	12	a	a	DET
ajird-910	50	13	probabilistic	probabilistic	ADJ
ajird-910	50	14	framework	framework	NOUN
ajird-910	50	15	for	for	ADP
ajird-910	50	16	updating	update	VERB
ajird-910	50	17	beliefs	belief	NOUN
ajird-910	50	18	and	and	CCONJ
ajird-910	50	19	making	make	VERB
ajird-910	50	20	predictions	prediction	NOUN
ajird-910	50	21	.	.	PUNCT
ajird-910	51	1	these	these	DET
ajird-910	51	2	statistical	statistical	ADJ
ajird-910	51	3	methods	method	NOUN
ajird-910	51	4	find	find	VERB
ajird-910	51	5	applications	application	NOUN
ajird-910	51	6	across	across	ADP
ajird-910	51	7	diverse	diverse	ADJ
ajird-910	51	8	domains	domain	NOUN
ajird-910	51	9	,	,	PUNCT
ajird-910	51	10	from	from	ADP
ajird-910	51	11	clinical	clinical	ADJ
ajird-910	51	12	trials	trial	NOUN
ajird-910	51	13	in	in	ADP
ajird-910	51	14	medicine	medicine	NOUN
ajird-910	51	15	to	to	ADP
ajird-910	51	16	market	market	NOUN
ajird-910	51	17	research	research	NOUN
ajird-910	51	18	in	in	ADP
ajird-910	51	19	business	business	NOUN
ajird-910	51	20	.	.	PUNCT
ajird-910	52	1	the	the	DET
ajird-910	52	2	symbiosis	symbiosis	NOUN
ajird-910	52	3	of	of	ADP
ajird-910	52	4	mathematical	mathematical	ADJ
ajird-910	52	5	analysis	analysis	NOUN
ajird-910	52	6	and	and	CCONJ
ajird-910	52	7	statistics	statistic	NOUN
ajird-910	52	8	:	:	PUNCT
ajird-910	52	9	while	while	SCONJ
ajird-910	52	10	distinct	distinct	ADJ
ajird-910	52	11	,	,	PUNCT
ajird-910	52	12	mathematical	mathematical	ADJ
ajird-910	52	13	analysis	analysis	NOUN
ajird-910	52	14	and	and	CCONJ
ajird-910	52	15	statistics	statistic	NOUN
ajird-910	52	16	find	find	VERB
ajird-910	52	17	synergy	synergy	NOUN
ajird-910	52	18	in	in	ADP
ajird-910	52	19	their	their	PRON
ajird-910	52	20	application	application	NOUN
ajird-910	52	21	.	.	PUNCT
ajird-910	53	1	mathematical	mathematical	ADJ
ajird-910	53	2	analysis	analysis	NOUN
ajird-910	53	3	lays	lay	VERB
ajird-910	53	4	the	the	DET
ajird-910	53	5	groundwork	groundwork	NOUN
ajird-910	53	6	for	for	ADP
ajird-910	53	7	statistical	statistical	ADJ
ajird-910	53	8	methods	method	NOUN
ajird-910	53	9	,	,	PUNCT
ajird-910	53	10	offering	offer	VERB
ajird-910	53	11	a	a	DET
ajird-910	53	12	rigorous	rigorous	ADJ
ajird-910	53	13	foundation	foundation	NOUN
ajird-910	53	14	upon	upon	SCONJ
ajird-910	53	15	which	which	PRON
ajird-910	53	16	statistical	statistical	ADJ
ajird-910	53	17	inference	inference	NOUN
ajird-910	53	18	and	and	CCONJ
ajird-910	53	19	modeling	modeling	NOUN
ajird-910	53	20	thrive	thrive	VERB
ajird-910	53	21	.	.	PUNCT
ajird-910	54	1	in	in	ADP
ajird-910	54	2	essence	essence	NOUN
ajird-910	54	3	,	,	PUNCT
ajird-910	54	4	the	the	DET
ajird-910	54	5	precision	precision	NOUN
ajird-910	54	6	and	and	CCONJ
ajird-910	54	7	depth	depth	NOUN
ajird-910	54	8	provided	provide	VERB
ajird-910	54	9	by	by	ADP
ajird-910	54	10	mathematical	mathematical	ADJ
ajird-910	54	11	analysis	analysis	NOUN
ajird-910	54	12	enhance	enhance	VERB
ajird-910	54	13	the	the	DET
ajird-910	54	14	reliability	reliability	NOUN
ajird-910	54	15	and	and	CCONJ
ajird-910	54	16	interpretability	interpretability	NOUN
ajird-910	54	17	of	of	ADP
ajird-910	54	18	statistical	statistical	ADJ
ajird-910	54	19	results	result	NOUN
ajird-910	54	20	.	.	PUNCT
ajird-910	55	1	this	this	DET
ajird-910	55	2	symbiotic	symbiotic	ADJ
ajird-910	55	3	relationship	relationship	NOUN
ajird-910	55	4	creates	create	VERB
ajird-910	55	5	a	a	DET
ajird-910	55	6	powerful	powerful	ADJ
ajird-910	55	7	framework	framework	NOUN
ajird-910	55	8	for	for	ADP
ajird-910	55	9	understanding	understand	VERB
ajird-910	55	10	complex	complex	ADJ
ajird-910	55	11	systems	system	NOUN
ajird-910	55	12	and	and	CCONJ
ajird-910	55	13	extracting	extract	VERB
ajird-910	55	14	meaningful	meaningful	ADJ
ajird-910	55	15	insights	insight	NOUN
ajird-910	55	16	from	from	ADP
ajird-910	55	17	data	datum	NOUN
ajird-910	55	18	.	.	PUNCT
ajird-910	56	1	navigating	navigate	VERB
ajird-910	56	2	modern	modern	ADJ
ajird-910	56	3	trends	trend	NOUN
ajird-910	56	4	and	and	CCONJ
ajird-910	56	5	challenges	challenge	NOUN
ajird-910	56	6	:	:	PUNCT
ajird-910	56	7	as	as	SCONJ
ajird-910	56	8	we	we	PRON
ajird-910	56	9	traverse	traverse	VERB
ajird-910	56	10	the	the	DET
ajird-910	56	11	landscape	landscape	NOUN
ajird-910	56	12	of	of	ADP
ajird-910	56	13	mathematical	mathematical	ADJ
ajird-910	56	14	analysis	analysis	NOUN
ajird-910	56	15	and	and	CCONJ
ajird-910	56	16	statistics	statistic	NOUN
ajird-910	56	17	,	,	PUNCT
ajird-910	56	18	it	it	PRON
ajird-910	56	19	is	be	AUX
ajird-910	56	20	imperative	imperative	ADJ
ajird-910	56	21	to	to	PART
ajird-910	56	22	acknowledge	acknowledge	VERB
ajird-910	56	23	the	the	DET
ajird-910	56	24	evolving	evolve	VERB
ajird-910	56	25	nature	nature	NOUN
ajird-910	56	26	of	of	ADP
ajird-910	56	27	these	these	DET
ajird-910	56	28	fields	field	NOUN
ajird-910	56	29	.	.	PUNCT
ajird-910	57	1	modern	modern	ADJ
ajird-910	57	2	trends	trend	NOUN
ajird-910	57	3	,	,	PUNCT
ajird-910	57	4	such	such	ADJ
ajird-910	57	5	as	as	ADP
ajird-910	57	6	machine	machine	NOUN
ajird-910	57	7	learning	learning	NOUN
ajird-910	57	8	and	and	CCONJ
ajird-910	57	9	big	big	ADJ
ajird-910	57	10	data	datum	NOUN
ajird-910	57	11	analytics	analytic	NOUN
ajird-910	57	12	,	,	PUNCT
ajird-910	57	13	redefine	redefine	VERB
ajird-910	57	14	the	the	DET
ajird-910	57	15	boundaries	boundary	NOUN
ajird-910	57	16	of	of	ADP
ajird-910	57	17	what	what	PRON
ajird-910	57	18	is	be	AUX
ajird-910	57	19	possible	possible	ADJ
ajird-910	57	20	.	.	PUNCT
ajird-910	58	1	these	these	DET
ajird-910	58	2	advancements	advancement	NOUN
ajird-910	58	3	open	open	VERB
ajird-910	58	4	new	new	ADJ
ajird-910	58	5	avenues	avenue	NOUN
ajird-910	58	6	for	for	ADP
ajird-910	58	7	exploration	exploration	NOUN
ajird-910	58	8	and	and	CCONJ
ajird-910	58	9	discovery	discovery	NOUN
ajird-910	58	10	but	but	CCONJ
ajird-910	58	11	also	also	ADV
ajird-910	58	12	present	present	ADJ
ajird-910	58	13	challenges	challenge	NOUN
ajird-910	58	14	.	.	PUNCT
ajird-910	59	1	ethical	ethical	ADJ
ajird-910	59	2	considerations	consideration	NOUN
ajird-910	59	3	,	,	PUNCT
ajird-910	59	4	the	the	DET
ajird-910	59	5	responsible	responsible	ADJ
ajird-910	59	6	use	use	NOUN
ajird-910	59	7	of	of	ADP
ajird-910	59	8	algorithms	algorithm	NOUN
ajird-910	59	9	,	,	PUNCT
ajird-910	59	10	and	and	CCONJ
ajird-910	59	11	the	the	DET
ajird-910	59	12	potential	potential	NOUN
ajird-910	59	13	for	for	ADP
ajird-910	59	14	bias	bias	NOUN
ajird-910	59	15	in	in	ADP
ajird-910	59	16	data	datum	NOUN
ajird-910	59	17	analysis	analysis	NOUN
ajird-910	59	18	are	be	AUX
ajird-910	59	19	all	all	PRON
ajird-910	59	20	critical	critical	ADJ
ajird-910	59	21	aspects	aspect	NOUN
ajird-910	59	22	that	that	PRON
ajird-910	59	23	demand	demand	VERB
ajird-910	59	24	attention	attention	NOUN
ajird-910	59	25	.	.	PUNCT
ajird-910	60	1	in	in	ADP
ajird-910	60	2	conclusion	conclusion	NOUN
ajird-910	60	3	,	,	PUNCT
ajird-910	60	4	the	the	DET
ajird-910	60	5	realms	realm	NOUN
ajird-910	60	6	of	of	ADP
ajird-910	60	7	mathematical	mathematical	ADJ
ajird-910	60	8	analysis	analysis	NOUN
ajird-910	60	9	and	and	CCONJ
ajird-910	60	10	statistics	statistic	NOUN
ajird-910	60	11	form	form	VERB
ajird-910	60	12	the	the	DET
ajird-910	60	13	bedrock	bedrock	NOUN
ajird-910	60	14	of	of	ADP
ajird-910	60	15	quantitative	quantitative	ADJ
ajird-910	60	16	reasoning	reasoning	NOUN
ajird-910	60	17	,	,	PUNCT
ajird-910	60	18	offering	offer	VERB
ajird-910	60	19	invaluable	invaluable	ADJ
ajird-910	60	20	tools	tool	NOUN
ajird-910	60	21	for	for	ADP
ajird-910	60	22	understanding	understanding	NOUN
ajird-910	60	23	and	and	CCONJ
ajird-910	60	24	navigating	navigate	VERB
ajird-910	60	25	the	the	DET
ajird-910	60	26	complexities	complexity	NOUN
ajird-910	60	27	of	of	ADP
ajird-910	60	28	our	our	PRON
ajird-910	60	29	world	world	NOUN
ajird-910	60	30	.	.	PUNCT
ajird-910	61	1	from	from	ADP
ajird-910	61	2	the	the	DET
ajird-910	61	3	elegance	elegance	NOUN
ajird-910	61	4	of	of	ADP
ajird-910	61	5	mathematical	mathematical	ADJ
ajird-910	61	6	theorems	theorem	NOUN
ajird-910	61	7	to	to	ADP
ajird-910	61	8	the	the	DET
ajird-910	61	9	practical	practical	ADJ
ajird-910	61	10	applications	application	NOUN
ajird-910	61	11	of	of	ADP
ajird-910	61	12	statistical	statistical	ADJ
ajird-910	61	13	methods	method	NOUN
ajird-910	61	14	,	,	PUNCT
ajird-910	61	15	these	these	DET
ajird-910	61	16	disciplines	discipline	NOUN
ajird-910	61	17	continue	continue	VERB
ajird-910	61	18	to	to	PART
ajird-910	61	19	shape	shape	VERB
ajird-910	61	20	our	our	PRON
ajird-910	61	21	understanding	understanding	NOUN
ajird-910	61	22	of	of	ADP
ajird-910	61	23	the	the	DET
ajird-910	61	24	universe	universe	NOUN
ajird-910	61	25	and	and	CCONJ
ajird-910	61	26	empower	empower	VERB
ajird-910	61	27	us	we	PRON
ajird-910	61	28	to	to	PART
ajird-910	61	29	make	make	VERB
ajird-910	61	30	informed	informed	ADJ
ajird-910	61	31	decisions	decision	NOUN
ajird-910	61	32	in	in	ADP
ajird-910	61	33	an	an	DET
ajird-910	61	34	increasingly	increasingly	ADV
ajird-910	61	35	data	data	NOUN
ajird-910	61	36	-	-	PUNCT
ajird-910	61	37	driven	drive	VERB
ajird-910	61	38	era	era	NOUN
ajird-910	61	39	.	.	PUNCT
ajird-910	62	1	as	as	SCONJ
ajird-910	62	2	we	we	PRON
ajird-910	62	3	continue	continue	VERB
ajird-910	62	4	to	to	PART
ajird-910	62	5	explore	explore	VERB
ajird-910	62	6	the	the	DET
ajird-910	62	7	frontiers	frontier	NOUN
ajird-910	62	8	of	of	ADP
ajird-910	62	9	knowledge	knowledge	NOUN
ajird-910	62	10	,	,	PUNCT
ajird-910	62	11	the	the	DET
ajird-910	62	12	integration	integration	NOUN
ajird-910	62	13	of	of	ADP
ajird-910	62	14	mathematical	mathematical	ADJ
ajird-910	62	15	analysis	analysis	NOUN
ajird-910	62	16	and	and	CCONJ
ajird-910	62	17	statistics	statistic	NOUN
ajird-910	62	18	remains	remain	VERB
ajird-910	62	19	fundamental	fundamental	ADJ
ajird-910	62	20	,	,	PUNCT
ajird-910	62	21	providing	provide	VERB
ajird-910	62	22	a	a	DET
ajird-910	62	23	robust	robust	ADJ
ajird-910	62	24	framework	framework	NOUN
ajird-910	62	25	for	for	ADP
ajird-910	62	26	unraveling	unravel	VERB
ajird-910	62	27	the	the	DET
ajird-910	62	28	mysteries	mystery	NOUN
ajird-910	62	29	that	that	PRON
ajird-910	62	30	surround	surround	VERB
ajird-910	62	31	us	we	PRON
ajird-910	62	32	.	.	PUNCT
ajird-910	63	1	references	reference	NOUN
ajird-910	63	2	:	:	PUNCT
ajird-910	63	3	1	1	X
ajird-910	63	4	.	.	X
ajird-910	63	5	rudin	rudin	PROPN
ajird-910	63	6	,	,	PUNCT
ajird-910	63	7	w.	w.	NOUN
ajird-910	63	8	(	(	PUNCT
ajird-910	63	9	1976	1976	NUM
ajird-910	63	10	)	)	PUNCT
ajird-910	63	11	.	.	PUNCT
ajird-910	64	1	principles	principle	NOUN
ajird-910	64	2	of	of	ADP
ajird-910	64	3	mathematical	mathematical	ADJ
ajird-910	64	4	analysis	analysis	NOUN
ajird-910	64	5	.	.	PUNCT
ajird-910	65	1	mcgraw	mcgraw	PROPN
ajird-910	65	2	-	-	PUNCT
ajird-910	65	3	hill	hill	NOUN
ajird-910	65	4	.	.	PUNCT
ajird-910	66	1	2	2	X
ajird-910	66	2	.	.	X
ajird-910	66	3	moore	moore	PROPN
ajird-910	66	4	,	,	PUNCT
ajird-910	66	5	d.	d.	PROPN
ajird-910	66	6	s.	s.	PROPN
ajird-910	66	7	,	,	PUNCT
ajird-910	66	8	mccabe	mccabe	PROPN
ajird-910	66	9	,	,	PUNCT
ajird-910	66	10	g.	g.	PROPN
ajird-910	66	11	p.	p.	PROPN
ajird-910	66	12	,	,	PUNCT
ajird-910	66	13	&	&	CCONJ
ajird-910	66	14	craig	craig	PROPN
ajird-910	66	15	,	,	PUNCT
ajird-910	66	16	b.	b.	PROPN
ajird-910	66	17	a.	a.	PROPN
ajird-910	66	18	(	(	PUNCT
ajird-910	66	19	2018	2018	NUM
ajird-910	66	20	)	)	PUNCT
ajird-910	66	21	.	.	PUNCT
ajird-910	67	1	introduction	introduction	NOUN
ajird-910	67	2	to	to	ADP
ajird-910	67	3	the	the	DET
ajird-910	67	4	practice	practice	NOUN
ajird-910	67	5	of	of	ADP
ajird-910	67	6	statistics	statistic	NOUN
ajird-910	67	7	.	.	PUNCT
ajird-910	68	1	w.	w.	PROPN
ajird-910	68	2	h.	h.	PROPN
ajird-910	68	3	freeman	freeman	PROPN
ajird-910	68	4	.	.	PUNCT
ajird-910	69	1	american	american	PROPN
ajird-910	69	2	journal	journal	PROPN
ajird-910	69	3	of	of	ADP
ajird-910	69	4	interdisciplinary	interdisciplinary	ADJ
ajird-910	69	5	research	research	NOUN
ajird-910	69	6	and	and	CCONJ
ajird-910	69	7	development	development	NOUN
ajird-910	69	8	issn	issn	PROPN
ajird-910	69	9	online	online	NOUN
ajird-910	69	10	:	:	PUNCT
ajird-910	69	11	2771	2771	NUM
ajird-910	69	12	-	-	SYM
ajird-910	69	13	8948	8948	NUM
ajird-910	69	14	website	website	NOUN
ajird-910	69	15	:	:	PUNCT
ajird-910	69	16	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-910	69	17	volume	volume	NOUN
ajird-910	69	18	23	23	NUM
ajird-910	69	19	,	,	PUNCT
ajird-910	69	20	december	december	PROPN
ajird-910	69	21	,	,	PUNCT
ajird-910	69	22	2023	2023	NUM
ajird-910	69	23	299	299	NUM
ajird-910	70	1	|	|	ADV
ajird-910	70	2	p	p	NOUN
ajird-910	70	3	a	a	DET
ajird-910	70	4	g	g	NOUN
ajird-910	70	5	e	e	NOUN
ajird-910	70	6	3	3	NUM
ajird-910	70	7	.	.	PUNCT
ajird-910	71	1	montgomery	montgomery	PROPN
ajird-910	71	2	,	,	PUNCT
ajird-910	71	3	d.	d.	PROPN
ajird-910	71	4	c.	c.	PROPN
ajird-910	71	5	(	(	PUNCT
ajird-910	71	6	2008	2008	NUM
ajird-910	71	7	)	)	PUNCT
ajird-910	71	8	.	.	PUNCT
ajird-910	72	1	statistical	statistical	ADJ
ajird-910	72	2	methods	method	NOUN
ajird-910	72	3	in	in	ADP
ajird-910	72	4	engineering	engineering	NOUN
ajird-910	72	5	and	and	CCONJ
ajird-910	72	6	quality	quality	NOUN
ajird-910	72	7	assurance	assurance	NOUN
ajird-910	72	8	.	.	PUNCT
ajird-910	73	1	wiley	wiley	PROPN
ajird-910	73	2	.	.	PUNCT
ajird-910	74	1	4	4	X
ajird-910	74	2	.	.	X
ajird-910	74	3	wasserman	wasserman	PROPN
ajird-910	74	4	,	,	PUNCT
ajird-910	74	5	l.	l.	PROPN
ajird-910	74	6	(	(	PUNCT
ajird-910	74	7	2004	2004	NUM
ajird-910	74	8	)	)	PUNCT
ajird-910	74	9	.	.	PUNCT
ajird-910	75	1	all	all	PRON
ajird-910	75	2	of	of	ADP
ajird-910	75	3	statistics	statistic	NOUN
ajird-910	75	4	:	:	PUNCT
ajird-910	75	5	a	a	DET
ajird-910	75	6	concise	concise	ADJ
ajird-910	75	7	course	course	NOUN
ajird-910	75	8	in	in	ADP
ajird-910	75	9	statistical	statistical	ADJ
ajird-910	75	10	inference	inference	NOUN
ajird-910	75	11	.	.	PUNCT
ajird-910	76	1	journal	journal	PROPN
ajird-910	76	2	of	of	ADP
ajird-910	76	3	the	the	DET
ajird-910	76	4	american	american	PROPN
ajird-910	76	5	statistical	statistical	PROPN
ajird-910	76	6	association	association	NOUN
ajird-910	76	7	,	,	PUNCT
ajird-910	76	8	99(467	99(467	NOUN
ajird-910	76	9	)	)	PUNCT
ajird-910	76	10	,	,	PUNCT
ajird-910	76	11	158	158	NUM
ajird-910	76	12	.	.	PUNCT