id	sid	eid	entity	type
cana-3958	1	1	1074	CARDINAL
cana-3958	1	2	32	CARDINAL
cana-3958	2	1	9s	CARDINAL
cana-3958	2	2	466	CARDINAL
cana-3958	3	1	1saravanan k	FAC
cana-3958	3	2	2thirucheran	GPE
cana-3958	3	3	3bhuvaneswari raja	PERSON
cana-3958	3	4	4stalin	DATE
cana-3958	3	5	1department	CARDINAL
cana-3958	3	6	dr ambedkar government arts college	PERSON
cana-3958	3	7	600 039	CARDINAL
cana-3958	3	8	india	GPE
cana-3958	5	1	2department	PERSON
cana-3958	5	2	601 204	CARDINAL
cana-3958	5	3	india	GPE
cana-3958	7	1	3department	PERSON
cana-3958	8	1	muhammed salegh college of engineering	ORG
cana-3958	8	2	600 055	CARDINAL
cana-3958	8	3	india	GPE
cana-3958	10	1	4department	CARDINAL
cana-3958	10	2	vel tech rangarajan dr sagunthala r &d institute of science and technology	ORG
cana-3958	10	3	600	CARDINAL
cana-3958	10	4	062	MONEY
cana-3958	10	5	india	GPE
cana-3958	10	6	drstalint@veltech.edu.in	GPE
cana-3958	10	7	5department	CARDINAL
cana-3958	10	8	guntur522213	ORG
cana-3958	10	9	andhra pradesh	ORG
cana-3958	10	10	india	GPE
cana-3958	11	1	13-11-2024	CARDINAL
cana-3958	11	2	17	CARDINAL
cana-3958	11	3	20-01-2025	CARDINAL
cana-3958	11	4	recent years	DATE
cana-3958	19	1	1	CARDINAL
cana-3958	19	2	𝑓(𝜉	PERSON
cana-3958	21	1	∈ ℂ ∶	ORG
cana-3958	21	2	1	CARDINAL
cana-3958	21	3	1	CARDINAL
cana-3958	21	4	𝑔(𝜉	PERSON
cana-3958	22	1	ξϵ𝕌∞	GPE
cana-3958	22	2	2	CARDINAL
cana-3958	22	3	1	CARDINAL
cana-3958	22	4	2	CARDINAL
cana-3958	22	5	∗ 𝑔)(𝜉	GPE
cana-3958	23	1	3	CARDINAL
cana-3958	23	2	0 ≤ 𝛼	MONEY
cana-3958	23	3	𝑅𝑒	PERSON
cana-3958	25	1	∈	ORG
cana-3958	25	2	0 ≤ 𝛼	MONEY
cana-3958	26	1	1074	CARDINAL
cana-3958	26	2	32	CARDINAL
cana-3958	27	1	9s	CARDINAL
cana-3958	27	2	2025	DATE
cana-3958	27	3	467	CARDINAL
cana-3958	27	4	𝑅𝑒	PERSON
cana-3958	28	1	10	CARDINAL
cana-3958	30	1	𝑓(𝜉	PERSON
cana-3958	30	2	𝑔(𝜉	PERSON
cana-3958	31	1	𝑓(𝜉	PERSON
cana-3958	31	2	𝑔(𝜉	GPE
cana-3958	31	3	𝑓(𝜉	PERSON
cana-3958	31	4	𝑔(𝜉	PERSON
cana-3958	32	1	0	CARDINAL
cana-3958	32	2	1	CARDINAL
cana-3958	32	3	𝑓(𝜉	PERSON
cana-3958	32	4	𝑔(𝜉	PERSON
cana-3958	33	1	𝑓(0	PERSON
cana-3958	33	2	= 𝑔(0	PERSON
cana-3958	34	1	ma	PERSON
cana-3958	34	2	minda	ORG
cana-3958	35	1	13	CARDINAL
cana-3958	36	1	ϕ(ξ	PERSON
cana-3958	38	1	1	CARDINAL
cana-3958	38	2	𝑓(ξ	ORG
cana-3958	42	1	1 +	DATE
cana-3958	42	2	4	CARDINAL
cana-3958	42	3	n ∈ ℕ0= ℕ∪0	ORG
cana-3958	42	4	1	CARDINAL
cana-3958	42	5	2	DATE
cana-3958	42	6	0	CARDINAL
cana-3958	42	7	5	CARDINAL
cana-3958	42	8	7	CARDINAL
cana-3958	45	1	recent years	DATE
cana-3958	45	2	9	CARDINAL
cana-3958	45	3	anitha lakshminarayanan	PERSON
cana-3958	47	1	1	CARDINAL
cana-3958	48	1	6	CARDINAL
cana-3958	48	2	10	CARDINAL
cana-3958	49	1	12	CARDINAL
cana-3958	49	2	b.a.frasin et al	PERSON
cana-3958	50	1	3	CARDINAL
cana-3958	52	1	2	CARDINAL
cana-3958	52	2	1	CARDINAL
cana-3958	52	3	2	CARDINAL
cana-3958	52	4	3	CARDINAL
cana-3958	53	1	0,1,2	CARDINAL
cana-3958	53	2	3	CARDINAL
cana-3958	53	3	𝒫(x	PERSON
cana-3958	54	1	n+r−1	DATE
cana-3958	55	1	0,1,2,3	CARDINAL
cana-3958	56	1	5	CARDINAL
cana-3958	56	2	s.m.el-deepa	ORG
cana-3958	56	3	6	CARDINAL
cana-3958	56	4	𝒫q r(ξ	PERSON
cana-3958	57	1	1	CARDINAL
cana-3958	57	2	0 ≤	MONEY
cana-3958	57	3	6	CARDINAL
cana-3958	57	4	linear	ORG
cana-3958	57	5	1074	CARDINAL
cana-3958	57	6	32	CARDINAL
cana-3958	58	1	9s	CARDINAL
cana-3958	58	2	2025	CARDINAL
cana-3958	58	3	468	CARDINAL
cana-3958	60	1	∗ f(ξ	ORG
cana-3958	61	1	− q)ravξ	PERSON
cana-3958	61	2	∈ 𝕌∞	ORG
cana-3958	61	3	7	CARDINAL
cana-3958	61	4	two	CARDINAL
cana-3958	61	5	4	CARDINAL
cana-3958	61	6	7	CARDINAL
cana-3958	61	7	𝒫𝒟q	CARDINAL
cana-3958	61	8	𝒫𝒟q	CARDINAL
cana-3958	62	1	cv	ORG
cana-3958	64	1	1 +	CARDINAL
cana-3958	64	2	1)(δ	CARDINAL
cana-3958	64	3	r−1	GPE
cana-3958	65	1	2.1	CARDINAL
cana-3958	66	1	𝒫𝒟q	CARDINAL
cana-3958	66	2	1 + 1	CARDINAL
cana-3958	66	3	ξ(𝒫𝒟q	WORK_OF_ART
cana-3958	66	4	𝒫𝒟	ORG
cana-3958	67	1	9	CARDINAL
cana-3958	67	2	≥1	ORG
cana-3958	67	3	0 ≤	MONEY
cana-3958	68	1	1	CARDINAL
cana-3958	68	2	0	CARDINAL
cana-3958	68	3	2.2	CARDINAL
cana-3958	68	4	1	CARDINAL
cana-3958	69	1	1	CARDINAL
cana-3958	69	2	10	CARDINAL
cana-3958	69	3	cv	ORG
cana-3958	70	1	1 +	CARDINAL
cana-3958	70	2	1)(δ	CARDINAL
cana-3958	70	3	r−1	GPE
cana-3958	70	4	1,0 ≤	QUANTITY
cana-3958	70	5	μ	ORG
cana-3958	70	6	n ∈ ℕ0	ORG
cana-3958	70	7	0 ≤	MONEY
cana-3958	71	1	1	CARDINAL
cana-3958	72	1	1 + 1	CARDINAL
cana-3958	72	2	ξ(𝒫𝒟q	WORK_OF_ART
cana-3958	72	3	𝒫𝒟	ORG
cana-3958	72	4	1	CARDINAL
cana-3958	72	5	1 +	DATE
cana-3958	72	6	𝒫𝒟	ORG
cana-3958	72	7	1	CARDINAL
cana-3958	72	8	1 +	CARDINAL
cana-3958	72	9	𝒫𝒟q	CARDINAL
cana-3958	73	1	− b𝒫𝒟q	PERSON
cana-3958	73	2	δ	ORG
cana-3958	73	3	f(z	DATE
cana-3958	73	4	1−z	CARDINAL
cana-3958	74	1	ω(z	PERSON
cana-3958	75	1	1+ω(z	CARDINAL
cana-3958	75	2	1−ω(z	CARDINAL
cana-3958	76	1	ω(z	PERSON
cana-3958	80	1	1074	CARDINAL
cana-3958	80	2	32	CARDINAL
cana-3958	81	1	9s	CARDINAL
cana-3958	81	2	469	CARDINAL
cana-3958	82	1	ξ(𝒫𝒟q	TIME
cana-3958	83	1	−(1+θb)𝒫𝒟q	FAC
cana-3958	83	2	δ	ORG
cana-3958	85	1	−(1+θb−2b)𝒫𝒟	PERSON
cana-3958	87	1	1+θb)∞	CARDINAL
cana-3958	87	2	k=2	GPE
cana-3958	88	1	1+θb−2b)cvavzv∞	CARDINAL
cana-3958	88	2	θb+∑	PERSON
cana-3958	88	3	1+θb−v)cvavzv−1∞	CARDINAL
cana-3958	88	4	1+θb−2b−v)c	CARDINAL
cana-3958	88	5	avzv−1∞	NORP
cana-3958	88	6	|(1+θb−v||cvav||zv−1|∞	ORG
cana-3958	88	7	2−θ)|b|−∑ |(1+θb−2b−v)||cvav||zv−1|∞	ORG
cana-3958	89	1	1	CARDINAL
cana-3958	89	2	2	CARDINAL
cana-3958	89	3	θ)|b|	CARDINAL
cana-3958	91	1	2b	CARDINAL
cana-3958	92	1	1	CARDINAL
cana-3958	94	1	10	CARDINAL
cana-3958	95	1	2.3	CARDINAL
cana-3958	95	2	∈	ORG
cana-3958	95	3	1−θ)|b|	CARDINAL
cana-3958	97	1	1−θ)|b|	CARDINAL
cana-3958	97	2	2,3,4	CARDINAL
cana-3958	98	1	11	CARDINAL
cana-3958	101	1	2.4(extreme	CARDINAL
cana-3958	102	1	1−θ)|b|	CARDINAL
cana-3958	102	2	2	CARDINAL
cana-3958	103	1	∑ η	PERSON
cana-3958	103	2	η	PERSON
cana-3958	104	1	∑ η	PERSON
cana-3958	104	2	1∞	CARDINAL
cana-3958	105	1	∑ η	PERSON
cana-3958	106	1	1	CARDINAL
cana-3958	106	2	θ)|b|	CARDINAL
cana-3958	106	3	∑ η	PERSON
cana-3958	106	4	1	CARDINAL
cana-3958	106	5	θ)|b|	CARDINAL
cana-3958	106	6	cv	ORG
cana-3958	106	7	1074	CARDINAL
cana-3958	106	8	32	CARDINAL
cana-3958	107	1	9s	CARDINAL
cana-3958	107	2	2025	CARDINAL
cana-3958	107	3	470	CARDINAL
cana-3958	107	4	1	CARDINAL
cana-3958	107	5	∑ η	PERSON
cana-3958	107	6	1	CARDINAL
cana-3958	108	1	− η 1	PERSON
cana-3958	108	2	1	CARDINAL
cana-3958	110	1	|av| ≤	ORG
cana-3958	110	2	1−θ)|b|	CARDINAL
cana-3958	110	3	2,3	CARDINAL
cana-3958	110	4	1	CARDINAL
cana-3958	110	5	η 1	FAC
cana-3958	110	6	1	CARDINAL
cana-3958	110	7	− ∑ η	PERSON
cana-3958	111	1	∑ η	PERSON
cana-3958	112	1	2.5.(little	CARDINAL
cana-3958	112	2	8	CARDINAL
cana-3958	114	1	0	CARDINAL
cana-3958	114	2	2π	CARDINAL
cana-3958	114	3	1	CARDINAL
cana-3958	114	4	2.6(integral	CARDINAL
cana-3958	116	1	1−θ)|b|εv	CARDINAL
cana-3958	116	2	2,3	CARDINAL
cana-3958	118	1	1	CARDINAL
cana-3958	122	1	1	CARDINAL
cana-3958	122	2	0	CARDINAL
cana-3958	124	1	2π	CARDINAL
cana-3958	124	2	0 ∫ |1	ORG
cana-3958	125	1	1	CARDINAL
cana-3958	127	1	2π	CARDINAL
cana-3958	128	1	littlewood	ORG
cana-3958	131	1	1074	CARDINAL
cana-3958	131	2	32	CARDINAL
cana-3958	132	1	9s	CARDINAL
cana-3958	132	2	2025	DATE
cana-3958	132	3	471	CARDINAL
cana-3958	132	4	ω(0)=0	CARDINAL
cana-3958	133	1	fϵ𝒜	NORP
cana-3958	133	2	1	CARDINAL
cana-3958	134	1	|ω(ξ)|v−1	PERSON
cana-3958	135	1	ϕ v cv	FAC
cana-3958	135	2	1 − θ)|b|ϵv |	QUANTITY
cana-3958	135	3	1	CARDINAL
cana-3958	135	4	2.7(convex	CARDINAL
cana-3958	135	5	𝛉	PRODUCT
cana-3958	136	1	|ξ|	GPE
cana-3958	136	2	1−θ)ϕ v cv	QUANTITY
cana-3958	136	3	1	CARDINAL
cana-3958	136	4	12	CARDINAL
cana-3958	136	5	12	CARDINAL
cana-3958	137	1	13	CARDINAL
cana-3958	137	2	1	CARDINAL
cana-3958	138	1	1	CARDINAL
cana-3958	138	2	2	CARDINAL
cana-3958	139	1	13	CARDINAL
cana-3958	140	1	1)avξ	CARDINAL
cana-3958	140	2	1 + ∑	QUANTITY
cana-3958	142	1	1)avξ	CARDINAL
cana-3958	143	1	1	CARDINAL
cana-3958	143	2	− θ)∞	PERSON
cana-3958	144	1	1−θ	CARDINAL
cana-3958	144	2	1	CARDINAL
cana-3958	145	1	2	CARDINAL
cana-3958	146	1	1−θ)ϕ v cv	QUANTITY
cana-3958	146	2	1	CARDINAL
cana-3958	147	1	2.8	CARDINAL
cana-3958	147	2	𝛉	PRODUCT
cana-3958	148	1	|ξ|	GPE
cana-3958	148	2	1−θ)ϕ v cv	QUANTITY
cana-3958	148	3	1	CARDINAL
cana-3958	149	1	2	CARDINAL
cana-3958	149	2	14	CARDINAL
cana-3958	149	3	|ξ|<r2	PERSON
cana-3958	149	4	14	CARDINAL
cana-3958	151	1	15	CARDINAL
cana-3958	151	2	1074	CARDINAL
cana-3958	151	3	32	CARDINAL
cana-3958	152	1	9s	CARDINAL
cana-3958	152	2	2025	CARDINAL
cana-3958	152	3	472	CARDINAL
cana-3958	153	1	1−θ)ϕ v cv	QUANTITY
cana-3958	153	2	1	CARDINAL
cana-3958	154	1	15	CARDINAL
cana-3958	157	1	1)(1	CARDINAL
cana-3958	157	2	∞ v=2	PERSON
cana-3958	158	1	1−θ)ϕ v cv	QUANTITY
cana-3958	158	2	1	CARDINAL
cana-3958	159	1	2	CARDINAL
cana-3958	160	1	𝛉	PRODUCT
cana-3958	160	2	0 ≤	MONEY
cana-3958	160	3	1	CARDINAL
cana-3958	160	4	1−θ)ϕ v cv	QUANTITY
cana-3958	160	5	1	CARDINAL
cana-3958	161	1	2	CARDINAL
cana-3958	161	2	16	CARDINAL
cana-3958	161	3	16	CARDINAL
cana-3958	163	1	17	CARDINAL
cana-3958	163	2	1−θ)ϕ v cv	QUANTITY
cana-3958	163	3	1	CARDINAL
cana-3958	164	1	17	CARDINAL
cana-3958	165	1	1 ∞	QUANTITY
cana-3958	166	1	1	CARDINAL
cana-3958	166	2	1	CARDINAL
cana-3958	166	3	1−θ)ϕ v cv	QUANTITY
cana-3958	166	4	1	CARDINAL
cana-3958	168	1	1074	CARDINAL
cana-3958	168	2	32	CARDINAL
cana-3958	169	1	9s	CARDINAL
cana-3958	169	2	2025	CARDINAL
cana-3958	169	3	473	CARDINAL
cana-3958	169	4	2.10	CARDINAL
cana-3958	171	1	r∗ −	PERSON
cana-3958	172	1	1−θ)|b| |(θb−b−1)|c2	MONEY
cana-3958	173	1	1+θ)|b|	CARDINAL
cana-3958	173	2	r∗2	ORG
cana-3958	173	3	18	CARDINAL
cana-3958	173	4	1 +	CARDINAL
cana-3958	175	1	1	CARDINAL
cana-3958	175	2	θ)|b|	CARDINAL
cana-3958	177	1	∑	ORG
cana-3958	177	2	1−θ)|b|	CARDINAL
cana-3958	179	1	1−θ)|b|	CARDINAL
cana-3958	180	1	1−θ)|b|	CARDINAL
cana-3958	182	1	1−θ)|b|	CARDINAL
cana-3958	184	1	2.11(distortion	CARDINAL
cana-3958	185	1	r∗	PERSON
cana-3958	185	2	1	CARDINAL
cana-3958	185	3	r∗	PERSON
cana-3958	185	4	r∗	PERSON
cana-3958	185	5	19	CARDINAL
cana-3958	186	1	1	CARDINAL
cana-3958	186	2	θ)|b|	CARDINAL
cana-3958	186	3	1074	CARDINAL
cana-3958	186	4	32	CARDINAL
cana-3958	187	1	9s	CARDINAL
cana-3958	187	2	2025	CARDINAL
cana-3958	187	3	474	CARDINAL
cana-3958	187	4	1)|c2 r∗. 3	DATE
cana-3958	187	5	2.1	CARDINAL
cana-3958	190	1	between two and three	CARDINAL
cana-3958	190	2	fekete	ORG
cana-3958	192	1	anitha lakshminarayanan	PERSON
cana-3958	192	2	ramachandran chellakutti	PERSON
cana-3958	192	3	turkish	NORP
cana-3958	192	4	45(3	DATE
cana-3958	192	5	1449-1458	CARDINAL
cana-3958	192	6	2021	CARDINAL
cana-3958	193	1	2	CARDINAL
cana-3958	193	2	b. a. frasin	PERSON
cana-3958	193	3	poisson distribution series	ORG
cana-3958	194	1	78-86	DATE
cana-3958	194	2	2019	DATE
cana-3958	195	1	3	CARDINAL
cana-3958	195	2	frasin	PERSON
cana-3958	195	3	g. murugusundaramoorthy	PERSON
cana-3958	195	4	sibel yalçin	PERSON
cana-3958	195	5	iii matematics	PERSON
cana-3958	195	6	521	CARDINAL
cana-3958	195	7	2021	CARDINAL
cana-3958	196	1	4	CARDINAL
cana-3958	196	2	h. orhan	PERSON
cana-3958	196	3	4(1	CARDINAL
cana-3958	196	4	1-15	CARDINAL
cana-3958	196	5	2010	DATE
cana-3958	197	1	5	CARDINAL
cana-3958	197	2	f. m. al-oboudi	PERSON
cana-3958	197	3	generalized salagean operator	ORG
cana-3958	197	4	2004(27	CARDINAL
cana-3958	197	5	1429-1436	CARDINAL
cana-3958	197	6	2004	DATE
cana-3958	198	1	6	CARDINAL
cana-3958	198	2	g. murugusundaramoorthy	PERSON
cana-3958	198	3	afr.	PERSON
cana-3958	198	4	28(7	CARDINAL
cana-3958	198	5	1357-1366	DATE
cana-3958	198	6	2017	CARDINAL
cana-3958	199	1	g. salagean	PERSON
cana-3958	199	2	maths	PERSON
cana-3958	199	3	berlin	GPE
cana-3958	199	4	1013	DATE
cana-3958	199	5	362	CARDINAL
cana-3958	199	6	1983	DATE
cana-3958	200	1	8	CARDINAL
cana-3958	200	2	j. e. littlewood	PERSON
cana-3958	200	3	london	GPE
cana-3958	200	4	481519	DATE
cana-3958	200	5	1925	DATE
cana-3958	201	1	9	CARDINAL
cana-3958	201	2	porwal saurabh	PERSON
cana-3958	201	3	kumar manish	PERSON
cana-3958	201	4	poisson distribution series	ORG
cana-3958	201	5	afr.	PERSON
cana-3958	201	6	27(5-6	CARDINAL
cana-3958	201	7	1021	CARDINAL
cana-3958	201	8	2016	CARDINAL
cana-3958	202	1	10	CARDINAL
cana-3958	202	2	r. m.	PERSON
cana-3958	203	1	w. y. kota	PERSON
cana-3958	203	2	51	DATE
cana-3958	203	3	89	CARDINAL
cana-3958	203	4	2017	CARDINAL
cana-3958	204	1	11	CARDINAL
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cana-3958	208	3	2020	DATE
cana-3958	209	1	13	CARDINAL
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cana-3958	209	3	d. minda	PERSON
cana-3958	211	1	157	CARDINAL
cana-3958	211	2	1994	DATE