id	sid	eid	entity	type
cana-2100	1	1	1074	CARDINAL
cana-2100	1	2	32	CARDINAL
cana-2100	2	1	1s	CARDINAL
cana-2100	2	2	2025	CARDINAL
cana-2100	2	3	45	CARDINAL
cana-2100	2	4	uday1	ORG
cana-2100	2	5	gautam kumar rajput2	PERSON
cana-2100	3	1	1research	CARDINAL
cana-2100	3	2	alwar	GPE
cana-2100	3	3	rajasthan 2associate	ORG
cana-2100	3	4	alwar	GPE
cana-2100	3	5	rajasthan article	ORG
cana-2100	3	6	06-08-2024	CARDINAL
cana-2100	3	7	25	CARDINAL
cana-2100	3	8	08	CARDINAL
cana-2100	10	1	1	CARDINAL
cana-2100	16	1	ballinger	PERSON
cana-2100	16	2	ph.d	NORP
cana-2100	17	1	two	CARDINAL
cana-2100	18	1	1074	CARDINAL
cana-2100	18	2	32	CARDINAL
cana-2100	19	1	1s	CARDINAL
cana-2100	19	2	2025	CARDINAL
cana-2100	19	3	46	DATE
cana-2100	28	1	first	ORDINAL
cana-2100	38	1	bainov	GPE
cana-2100	38	2	lakshminkatham	GPE
cana-2100	38	3	zhang	PERSON
cana-2100	40	1	𝑓(𝑡	ORG
cana-2100	40	2	𝑥(𝑡	ORG
cana-2100	41	1	∖ 𝑆 δ𝑥(𝑡𝑘)= 𝑓(𝑡𝑘	PERSON
cana-2100	41	2	𝑥(𝑡𝑘	ORG
cana-2100	41	3	𝑇 ⊂ 𝑅	ORG
cana-2100	41	4	∈ ω ⊂ 𝑅 × 𝑅𝑛	ORG
cana-2100	43	1	𝑥(𝑡	ORG
cana-2100	46	1	1074	CARDINAL
cana-2100	46	2	32	CARDINAL
cana-2100	47	1	1s	CARDINAL
cana-2100	47	2	2025	CARDINAL
cana-2100	47	3	47	CARDINAL
cana-2100	52	1	𝑡(𝑠, 𝑥(𝑠	ORG
cana-2100	53	1	0	CARDINAL
cana-2100	53	2	3	CARDINAL
cana-2100	56	1	∖ 𝑆	PERSON
cana-2100	56	2	𝑥(𝑡	ORG
cana-2100	56	3	𝑓(𝑡	ORG
cana-2100	56	4	𝑥(𝑡	ORG
cana-2100	57	1	𝑥(𝑡	PERSON
cana-2100	57	2	𝑥(𝑡𝑘 −	ORG
cana-2100	58	1	𝑥(𝑡𝑘 +	ORG
cana-2100	58	2	𝑥(𝑡𝑘	ORG
cana-2100	59	1	𝑥(𝑡	ORG
cana-2100	59	2	𝑦(𝑡	PRODUCT
cana-2100	59	3	15	CARDINAL
cana-2100	60	1	𝑓(𝑡	ORG
cana-2100	60	2	𝑦(𝑡)),𝑡𝑘	GPE
cana-2100	60	3	𝑥(𝑡𝑘 +	ORG
cana-2100	60	4	𝑦(𝑡	PRODUCT
cana-2100	60	5	𝑥(𝑡	ORG
cana-2100	64	1	𝑅𝑚	PERSON
cana-2100	64	2	𝑓(𝑥2	ORG
cana-2100	65	1	𝑓(𝑡	ORG
cana-2100	65	2	𝑥(𝑡	ORG
cana-2100	65	3	𝑥(𝑡 − ℎ𝑙(𝑡	PERSON
cana-2100	65	4	𝑥(𝑡 − ℎ2(𝑡	PERSON
cana-2100	66	1	𝑥(𝑡	PERSON
cana-2100	66	2	1	CARDINAL
cana-2100	66	3	⊂ 𝑅	PERSON
cana-2100	67	1	𝑡𝑘}𝑘=1 ∞	PERSON
cana-2100	67	2	two	CARDINAL
cana-2100	68	1	𝐷∗ → 𝑅𝑛	ORG
cana-2100	68	2	∈	ORG
cana-2100	68	3	∈	ORG
cana-2100	68	4	𝐷∗	PRODUCT
cana-2100	69	1	1	CARDINAL
cana-2100	69	2	first	ORDINAL
cana-2100	70	1	𝑓(𝑡	ORG
cana-2100	70	2	𝑥(𝑡	ORG
cana-2100	70	3	𝑥(𝑡 − ℎ𝑙(𝑡	PERSON
cana-2100	70	4	𝑥(𝑡 − ℎ𝑚(𝑡	PERSON
cana-2100	70	5	∀𝑡 ∈ 𝑇	PERSON
cana-2100	70	6	∖ 𝑆 δ𝑥(𝑡𝑘	PERSON
cana-2100	70	7	2	CARDINAL
cana-2100	70	8	1	CARDINAL
cana-2100	70	9	𝑓(𝑡	ORG
cana-2100	70	10	𝑥(𝑡	ORG
cana-2100	70	11	∖ 𝑆 δ𝑥(𝑡𝑘	PERSON
cana-2100	71	1	3	CARDINAL
cana-2100	71	2	1074	CARDINAL
cana-2100	71	3	32	CARDINAL
cana-2100	73	1	1s	CARDINAL
cana-2100	73	2	2025	CARDINAL
cana-2100	73	3	48	DATE
cana-2100	74	1	∈	ORG
cana-2100	74	2	= max1≤𝑗≤𝑛	PERSON
cana-2100	75	1	2	CARDINAL
cana-2100	75	2	3	CARDINAL
cana-2100	77	1	4	CARDINAL
cana-2100	77	2	2	CARDINAL
cana-2100	77	3	3	CARDINAL
cana-2100	77	4	first	ORDINAL
cana-2100	78	1	4	CARDINAL
cana-2100	79	1	𝐴	ORG
cana-2100	79	2	⃗	ORG
cana-2100	80	1	⃗	ORG
cana-2100	80	2	∖ 𝑆 δ𝑥(𝑡𝑘	PERSON
cana-2100	80	3	5	CARDINAL
cana-2100	80	4	⃗	ORG
cana-2100	80	5	zero	CARDINAL
cana-2100	80	6	5	CARDINAL
cana-2100	81	1	∀𝑡 ∈ 𝑇	PERSON
cana-2100	81	2	∖ 𝑆 δ𝑥(𝑡𝑘	PERSON
cana-2100	81	3	6	CARDINAL
cana-2100	82	1	𝑓(𝑡	ORG
cana-2100	82	2	𝑥(𝑡	ORG
cana-2100	82	3	𝑥(𝑡 − ℎ(𝑡	PERSON
cana-2100	82	4	∀𝑡 ∈ 𝑇	PERSON
cana-2100	82	5	∖ 𝑆 δ𝑥(𝑡𝑘	PERSON
cana-2100	82	6	7	CARDINAL
cana-2100	82	7	6	CARDINAL
cana-2100	83	1	∖ 𝑆	PERSON
cana-2100	83	2	𝑥(𝑡	ORG
cana-2100	83	3	𝑓(𝑡	ORG
cana-2100	83	4	𝑥(𝑡	ORG
cana-2100	83	5	𝑥(𝑡	PERSON
cana-2100	83	6	𝑥(𝑡𝑘 −	ORG
cana-2100	84	1	𝑥(𝑡𝑘))[1	ORG
cana-2100	84	2	5	CARDINAL
cana-2100	85	1	6	CARDINAL
cana-2100	86	1	0	CARDINAL
cana-2100	86	2	∈	ORG
cana-2100	86	3	+ 1	DATE
cana-2100	88	1	𝑡𝑘+1	ORG
cana-2100	88	2	⊂	GPE
cana-2100	88	3	+ 𝜋	PERCENT
cana-2100	88	4	𝑡𝑘+1	ORG
cana-2100	89	1	∩	PERSON
cana-2100	91	1	1	CARDINAL
cana-2100	91	2	𝑡𝑘+1	ORG
cana-2100	91	3	∅0(𝜌𝜌	PERSON
cana-2100	91	4	1 |𝑡−𝜌| ∀𝑡	PRODUCT
cana-2100	91	5	0	CARDINAL
cana-2100	91	6	3.1	CARDINAL
cana-2100	92	1	± 1	CARDINAL
cana-2100	92	2	∈	ORG
cana-2100	92	3	2	CARDINAL
cana-2100	93	1	∀𝑡	DATE
cana-2100	93	2	∈	ORG
cana-2100	94	1	1074	CARDINAL
cana-2100	94	2	32	CARDINAL
cana-2100	96	1	1s	CARDINAL
cana-2100	96	2	2025	CARDINAL
cana-2100	96	3	49	CARDINAL
cana-2100	96	4	3|𝑡	CARDINAL
cana-2100	96	5	1 |𝑡	QUANTITY
cana-2100	96	6	0 otherwise ∀𝑡	DATE
cana-2100	96	7	∈	ORG
cana-2100	96	8	3(𝑡𝑘+1	CARDINAL
cana-2100	96	9	3.2	CARDINAL
cana-2100	96	10	3.1	CARDINAL
cana-2100	96	11	1	CARDINAL
cana-2100	97	1	3	CARDINAL
cana-2100	97	2	∀𝑡 ∈	PERSON
cana-2100	97	3	𝑇.	NORP
cana-2100	97	4	3.3	CARDINAL
cana-2100	97	5	3.2	CARDINAL
cana-2100	97	6	2′	CARDINAL
cana-2100	97	7	2′	CARDINAL
cana-2100	97	8	𝑡𝑘+1	ORG
cana-2100	98	1	0	CARDINAL
cana-2100	99	1	0	CARDINAL
cana-2100	99	2	1	CARDINAL
cana-2100	101	1	∀𝑡 ∈	PERSON
cana-2100	101	2	3.5	CARDINAL
cana-2100	101	3	3.4	CARDINAL
cana-2100	102	1	3.1	CARDINAL
cana-2100	103	1	𝑓(𝑡	GPE
cana-2100	103	2	𝑥(𝑡	ORG
cana-2100	103	3	𝑥(𝑡 − ℎ𝜀(𝑡	PERSON
cana-2100	104	1	± 1	CARDINAL
cana-2100	104	2	𝑥(𝑡 − ℎ𝜀(𝑡	PERSON
cana-2100	104	3	± 1	CARDINAL
cana-2100	104	4	𝑓(𝑡	GPE
cana-2100	104	5	𝑥(𝑡	ORG
cana-2100	104	6	𝑥(𝑡 − ℎ𝜀(𝑡	PERSON
cana-2100	104	7	∈	ORG
cana-2100	105	1	3.1	CARDINAL
cana-2100	105	2	𝑓(𝑡	GPE
cana-2100	105	3	− ℎ(𝑡	PERSON
cana-2100	105	4	𝑓(𝑡	GPE
cana-2100	106	1	− ℎ(𝑡	PERSON
cana-2100	108	1	𝑓(𝑡	ORG
cana-2100	108	2	− ℎ(𝑡	PERSON
cana-2100	110	1	3.1 •	CARDINAL
cana-2100	110	2	∉ 𝑆	PERSON
cana-2100	110	3	2	CARDINAL
cana-2100	111	1	𝑓(𝑡	ORG
cana-2100	111	2	𝑥(𝑡	ORG
cana-2100	111	3	∖ 𝑆	PERSON
cana-2100	111	4	•	CARDINAL
cana-2100	111	5	ω	GPE
cana-2100	111	6	𝑇 × 𝑅(𝑚+𝑙)×𝑛	ORG
cana-2100	111	7	•	CARDINAL
cana-2100	111	8	𝑥(𝑡𝑘 −	ORG
cana-2100	111	9	1074	CARDINAL
cana-2100	111	10	32	CARDINAL
cana-2100	113	1	1s	CARDINAL
cana-2100	113	2	2025	CARDINAL
cana-2100	113	3	50	CARDINAL
cana-2100	113	4	4	CARDINAL
cana-2100	114	1	+ 𝜀 𝑀+1 𝜙2(𝑡)∀𝑡 ∈	DATE
cana-2100	115	1	3.4	CARDINAL
cana-2100	115	2	3.3	CARDINAL
cana-2100	115	3	max 𝑡∈[𝑡𝑘,𝑡𝑘+1	PERSON
cana-2100	115	4	5	CARDINAL
cana-2100	115	5	0.5	CARDINAL
cana-2100	116	1	𝑥(𝑡𝑘 +	ORG
cana-2100	116	2	𝑥(𝑡𝑘	ORG
cana-2100	117	1	0,1,2	CARDINAL
cana-2100	117	2	𝑥(𝑡	ORG
cana-2100	117	3	2	CARDINAL
cana-2100	117	4	𝑦(𝑡	PRODUCT
cana-2100	118	1	𝑓(𝑡	ORG
cana-2100	118	2	𝑦(𝑡	ORG
cana-2100	118	3	𝑦(𝑡	PRODUCT
cana-2100	118	4	𝑦(𝑡𝑘	ORG
cana-2100	118	5	𝑥(𝑡𝑘	ORG
cana-2100	118	6	9	CARDINAL
cana-2100	118	7	𝑓(𝑡	ORG
cana-2100	118	8	− ℎ(𝑡	PERSON
cana-2100	120	1	3.1	CARDINAL
cana-2100	120	2	𝐴 ⊂ 𝐵	ORG
cana-2100	120	3	∀𝑥 ∈ 𝐴	ORG
cana-2100	120	4	3.2	CARDINAL
cana-2100	125	1	3.3𝑃𝐶[[𝑎	CARDINAL
cana-2100	126	1	∈	ORG
cana-2100	126	2	3.1	CARDINAL
cana-2100	132	1	3.1	CARDINAL
cana-2100	132	2	∈	ORG
cana-2100	132	3	𝑃𝐶([𝑎	ORG
cana-2100	143	1	1074	CARDINAL
cana-2100	143	2	32	CARDINAL
cana-2100	144	1	1s	CARDINAL
cana-2100	144	2	2025	CARDINAL
cana-2100	144	3	51	CARDINAL
cana-2100	145	1	𝑏 ∉ 𝑆	PERSON
cana-2100	145	2	+ 0	DATE
cana-2100	147	1	10	CARDINAL
cana-2100	147	2	𝑥∈[𝑡𝑗𝑏	NORP
cana-2100	147	3	11	CARDINAL
cana-2100	149	1	max	PERSON
cana-2100	149	2	12	CARDINAL
cana-2100	149	3	𝑃𝐶[[𝑎	DATE
cana-2100	149	4	𝑅𝑛] ⊂ 𝐿∞[[𝑎	ORG
cana-2100	150	1	∈	ORG
cana-2100	151	1	0	CARDINAL
cana-2100	151	2	13	CARDINAL
cana-2100	151	3	𝑃𝐶[[𝑎	DATE
cana-2100	151	4	0}hence	CARDINAL
cana-2100	151	5	𝑃𝐶[[𝑎	DATE
cana-2100	151	6	linear subspace of 𝐿∞[[𝑎	ORG
cana-2100	152	1	𝑃𝐶[[𝑎	DATE
cana-2100	152	2	𝑅𝑛] ⊂ 𝐿∞[[𝑎	ORG
cana-2100	152	3	∈	ORG
cana-2100	154	1	∈	ORG
cana-2100	154	2	∈	ORG
cana-2100	154	3	𝐶𝑘[[𝑎	PRODUCT
cana-2100	155	1	𝑃𝐶[[𝑎	CARDINAL
cana-2100	157	1	∈	ORG
cana-2100	158	1	3.2	CARDINAL
cana-2100	158	2	∈	ORG
cana-2100	159	1	𝑅𝑛	PERSON
cana-2100	161	1	2	CARDINAL
cana-2100	161	2	4	CARDINAL
cana-2100	161	3	4	CARDINAL
cana-2100	162	1	3.2	CARDINAL
cana-2100	162	2	1.1	CARDINAL
cana-2100	162	3	2	CARDINAL
cana-2100	163	1	𝑥(𝑡𝑚	ORG
cana-2100	163	2	15	CARDINAL
cana-2100	163	3	1074	CARDINAL
cana-2100	163	4	32	CARDINAL
cana-2100	164	1	1s	CARDINAL
cana-2100	164	2	2025	CARDINAL
cana-2100	164	3	52	DATE
cana-2100	164	4	𝑥(𝑡𝑚	ORG
cana-2100	166	1	𝑥(𝑡𝑚	ORG
cana-2100	166	2	1,2,3	CARDINAL
cana-2100	166	3	15	CARDINAL
cana-2100	167	1	16	CARDINAL
cana-2100	167	2	𝑓∗	ORG
cana-2100	168	1	27	CARDINAL
cana-2100	169	1	𝑓(𝑡	ORG
cana-2100	169	2	𝑥(𝑡	ORG
cana-2100	170	1	17	CARDINAL
cana-2100	170	2	𝑓(𝑡	ORG
cana-2100	170	3	𝑦(𝑡	GPE
cana-2100	170	4	18	CARDINAL
cana-2100	170	5	perron	ORG
cana-2100	170	6	16	CARDINAL
cana-2100	170	7	𝑓(𝑡	ORG
cana-2100	170	8	𝑦(𝑡	ORG
cana-2100	170	9	∖ 𝑆 δ𝑦(𝑡𝑘	PERSON
cana-2100	170	10	19	CARDINAL
cana-2100	170	11	4	CARDINAL
cana-2100	170	12	𝑦(𝑡𝑘	ORG
cana-2100	170	13	𝑦(𝑠	ORG
cana-2100	170	14	𝑦(𝑡𝑚	ORG
cana-2100	170	15	20	CARDINAL
cana-2100	173	1	𝐼𝑘	ORG
cana-2100	173	2	2	CARDINAL
cana-2100	175	1	1	CARDINAL
cana-2100	175	2	u. a.	PERSON
cana-2100	175	3	esuabana	ORG
cana-2100	175	4	i. m.	PERSON
cana-2100	175	5	isaac	PERSON
cana-2100	175	6	i. o.	PERSON
cana-2100	175	7	lipcsey	PERSON
cana-2100	175	8	global journal of science frontier research	ORG
cana-2100	175	9	18	CARDINAL
cana-2100	175	10	1	CARDINAL
cana-2100	175	11	49-63	DATE
cana-2100	175	12	2018	DATE
cana-2100	176	1	2	CARDINAL
cana-2100	176	2	u. a.	PERSON
cana-2100	176	3	esuabana	ORG
cana-2100	176	4	i. m.	PERSON
cana-2100	176	5	second	ORDINAL
cana-2100	176	6	8	CARDINAL
cana-2100	176	7	620-629	CARDINAL
cana-2100	176	8	10.28919	CARDINAL
cana-2100	176	9	jmcs/3765	ORG
cana-2100	177	1	3	CARDINAL
cana-2100	177	2	pituk	ORG
cana-2100	177	3	m. (	PERSON
cana-2100	177	4	2001	DATE
cana-2100	177	5	17	CARDINAL
cana-2100	178	1	381	CARDINAL
cana-2100	179	1	1074	CARDINAL
cana-2100	179	2	32	CARDINAL
cana-2100	180	1	1s	CARDINAL
cana-2100	180	2	2025	CARDINAL
cana-2100	180	3	53	CARDINAL
cana-2100	181	1	4	CARDINAL
cana-2100	181	2	bastinec	PERSON
cana-2100	181	3	j.	PERSON
cana-2100	181	4	j.	PERSON
cana-2100	181	5	smarda	GPE
cana-2100	181	6	2000	DATE
cana-2100	181	7	one	CARDINAL
cana-2100	183	1	brno	ORG
cana-2100	183	2	36	DATE
cana-2100	184	1	405	CARDINAL
cana-2100	185	1	5	CARDINAL
cana-2100	185	2	bainov	GPE
cana-2100	185	3	d. d.	NORP
cana-2100	185	4	simeonov	LOC
cana-2100	185	5	p. s.	PERSON
cana-2100	185	6	1995	DATE
cana-2100	185	7	pte. ltd	ORG
cana-2100	185	8	singapore	GPE
cana-2100	186	1	6	CARDINAL
cana-2100	186	2	karakoc	PERSON
cana-2100	186	3	2008	DATE
cana-2100	188	1	17	DATE
cana-2100	189	1	71-84	CARDINAL
cana-2100	190	1	7	CARDINAL
cana-2100	190	2	bainov	GPE
cana-2100	190	3	d. d.	NORP
cana-2100	190	4	simeonov	LOC
cana-2100	190	5	p. s.	PERSON
cana-2100	190	6	1989	DATE
cana-2100	190	7	ellis horwood series	PERSON
cana-2100	191	1	8	CARDINAL
cana-2100	191	2	a. e.	PERSON
cana-2100	191	3	levinson	GPE
cana-2100	191	4	1955	DATE
cana-2100	191	5	mcgraw-hill book company	ORG
cana-2100	191	6	new york	GPE
cana-2100	192	1	9	CARDINAL
cana-2100	192	2	f.	PERSON
cana-2100	192	3	karrakchou	GPE
cana-2100	192	4	j. (	PERSON
cana-2100	192	5	2002	DATE
cana-2100	193	1	15	CARDINAL
cana-2100	194	1	333-338	CARDINAL
cana-2100	195	1	10	CARDINAL
cana-2100	195	2	esuabana	ORG
cana-2100	195	3	i. m.	PERSON
cana-2100	195	4	u. a.	PERSON
cana-2100	195	5	first	ORDINAL
cana-2100	195	6	linear	ORG
cana-2100	195	7	3	CARDINAL
cana-2100	195	8	3c	CARDINAL
cana-2100	195	9	231	CARDINAL
cana-2100	195	10	2018	DATE
cana-2100	196	1	11	CARDINAL
cana-2100	196	2	1992	DATE
cana-2100	196	3	kluwer	ORG
cana-2100	196	4	dordrecht	ORG
cana-2100	197	1	12	CARDINAL
cana-2100	197	2	liu	PERSON
cana-2100	197	3	x.	GPE
cana-2100	197	4	ballinger	PERSON
cana-2100	197	5	2002	DATE
cana-2100	198	1	51	DATE
cana-2100	199	1	633-647	CARDINAL
cana-2100	200	1	13	CARDINAL
cana-2100	200	2	bainov	GPE
cana-2100	200	3	d. d.	NORP
cana-2100	200	4	simeonov	LOC
cana-2100	200	5	p. s.	PERSON
cana-2100	200	6	1989	DATE
cana-2100	200	7	singapore	GPE
cana-2100	201	1	14	CARDINAL
cana-2100	201	2	1999	DATE
cana-2100	201	3	35	DATE
cana-2100	202	1	947	CARDINAL
cana-2100	203	1	15	CARDINAL
cana-2100	203	2	s. o.	PERSON
cana-2100	203	3	j. a.	PERSON
cana-2100	203	4	2003	DATE
cana-2100	203	5	1	CARDINAL
cana-2100	203	6	african mathematical union	ORG
cana-2100	203	7	1	CARDINAL
cana-2100	204	1	62-76	CARDINAL
cana-2100	205	1	16	CARDINAL
cana-2100	205	2	p. s.	PERSON
cana-2100	205	3	bainov	GPE
cana-2100	205	4	d. d.	NORP
cana-2100	205	5	1988	DATE
cana-2100	206	1	edinburgh maths society	ORG
cana-2100	206	2	31	DATE
cana-2100	207	1	353-368	CARDINAL
cana-2100	208	1	17	CARDINAL
cana-2100	208	2	a. m.	PERSON
cana-2100	208	3	j. j. j.	PERSON
cana-2100	208	4	1995	DATE
cana-2100	208	5	new york	GPE
cana-2100	209	1	18	CARDINAL
cana-2100	209	2	a.	PERSON
cana-2100	210	1	m.	PERSON
cana-2100	210	2	2	CARDINAL
cana-2100	210	3	4	CARDINAL
cana-2100	210	4	27	CARDINAL
cana-2100	210	5	2018	DATE
cana-2100	211	1	19	CARDINAL
cana-2100	211	2	j. (	PERSON
cana-2100	211	3	2004	DATE
cana-2100	211	4	second	ORDINAL
cana-2100	213	1	47	DATE
cana-2100	213	2	253	CARDINAL