id	sid	eid	entity	type
cana-1932	1	1	1074	CARDINAL
cana-1932	1	2	32	CARDINAL
cana-1932	1	3	3 (	CARDINAL
cana-1932	1	4	153	CARDINAL
cana-1932	1	5	coimbatore	ORG
cana-1932	1	6	india	GPE
cana-1932	3	1	18phmap001@avinuty.ac.in #2	MONEY
cana-1932	3	2	coimbatore	ORG
cana-1932	3	3	india	GPE
cana-1932	5	1	25-07-2024	CARDINAL
cana-1932	5	2	12-09-2024	CARDINAL
cana-1932	5	3	29-09-2024	CARDINAL
cana-1932	6	1	two	CARDINAL
cana-1932	8	1	fds -t2	PERSON
cana-1932	8	2	srivastava	PERSON
cana-1932	9	1	3	CARDINAL
cana-1932	10	1	fdt	ORG
cana-1932	10	2	fdts	GPE
cana-1932	11	1	1	CARDINAL
cana-1932	11	2	zadeh	ORG
cana-1932	11	3	1965	DATE
cana-1932	14	1	two	CARDINAL
cana-1932	19	1	•	CARDINAL
cana-1932	20	1	•	CARDINAL
cana-1932	21	1	•	CARDINAL
cana-1932	22	1	1074	CARDINAL
cana-1932	22	2	32	CARDINAL
cana-1932	22	3	3 (	CARDINAL
cana-1932	22	4	154	CARDINAL
cana-1932	24	1	1	CARDINAL
cana-1932	26	1	o	DATE
cana-1932	28	1	2	CARDINAL
cana-1932	31	1	3	CARDINAL
cana-1932	35	1	2.preliminary	CARDINAL
cana-1932	36	1	f2	ORG
cana-1932	36	2	f1 ≤ f2	PERSON
cana-1932	37	1	2.2	CARDINAL
cana-1932	37	2	∃ f	PERSON
cana-1932	37	3	∈	ORG
cana-1932	39	1	∈	ORG
cana-1932	39	2	𝟎.	CARDINAL
cana-1932	39	3	1074	CARDINAL
cana-1932	39	4	32	CARDINAL
cana-1932	39	5	3 (	CARDINAL
cana-1932	39	6	155	CARDINAL
cana-1932	39	7	3	CARDINAL
cana-1932	39	8	3.1	CARDINAL
cana-1932	39	9	two	CARDINAL
cana-1932	39	10	f1	PERSON
cana-1932	39	11	f2	ORG
cana-1932	39	12	g1	ORG
cana-1932	41	1	1	CARDINAL
cana-1932	41	2	2	CARDINAL
cana-1932	42	1	3.2	CARDINAL
cana-1932	43	1	f1	PERSON
cana-1932	43	2	f2	ORG
cana-1932	46	1	f1	PERSON
cana-1932	48	1	1	CARDINAL
cana-1932	50	1	befd subspace	ORG
cana-1932	50	2	3.3	CARDINAL
cana-1932	51	1	z(u	PERSON
cana-1932	52	1	≠ z(u	PERSON
cana-1932	52	2	z(u	PERSON
cana-1932	52	3	two	CARDINAL
cana-1932	54	1	f1	PERSON
cana-1932	54	2	f2	ORG
cana-1932	54	3	1	CARDINAL
cana-1932	54	4	2	CARDINAL
cana-1932	54	5	1	CARDINAL
cana-1932	54	6	2	CARDINAL
cana-1932	54	7	0	CARDINAL
cana-1932	54	8	𝑓1 / x1, 𝑓2 / x1	ORG
cana-1932	54	9	𝑔2/ x1	PERSON
cana-1932	55	1	1	CARDINAL
cana-1932	55	2	1	CARDINAL
cana-1932	56	1	2	CARDINAL
cana-1932	57	1	1	CARDINAL
cana-1932	58	1	2	CARDINAL
cana-1932	60	1	1074	CARDINAL
cana-1932	60	2	32	CARDINAL
cana-1932	60	3	3 (	CARDINAL
cana-1932	60	4	156	CARDINAL
cana-1932	60	5	1	CARDINAL
cana-1932	60	6	1	CARDINAL
cana-1932	61	1	1	CARDINAL
cana-1932	61	2	1	CARDINAL
cana-1932	63	1	⊆	CARDINAL
cana-1932	63	2	1	CARDINAL
cana-1932	63	3	⊆	CARDINAL
cana-1932	63	4	01	CARDINAL
cana-1932	66	1	01	CARDINAL
cana-1932	66	2	1	CARDINAL
cana-1932	66	3	2	CARDINAL
cana-1932	66	4	1	CARDINAL
cana-1932	67	1	1	CARDINAL
cana-1932	67	2	2	CARDINAL
cana-1932	67	3	1	CARDINAL
cana-1932	68	1	2	CARDINAL
cana-1932	69	1	f2	ORG
cana-1932	69	2	2	CARDINAL
cana-1932	71	1	⊆	CARDINAL
cana-1932	72	1	f / x1)⋂	ORG
cana-1932	73	1	3.4	CARDINAL
cana-1932	73	2	f1	PERSON
cana-1932	73	3	f2	ORG
cana-1932	73	4	1	CARDINAL
cana-1932	73	5	2	CARDINAL
cana-1932	74	1	cartesian	NORP
cana-1932	74	2	f1 ∗	PERSON
cana-1932	74	3	1	CARDINAL
cana-1932	74	4	∗	CARDINAL
cana-1932	74	5	2	CARDINAL
cana-1932	75	1	1	CARDINAL
cana-1932	75	2	{ f1	PERSON
cana-1932	75	3	1	CARDINAL
cana-1932	75	4	2 ∗	QUANTITY
cana-1932	75	5	2	CARDINAL
cana-1932	75	6	2	CARDINAL
cana-1932	75	7	3.5	CARDINAL
cana-1932	75	8	fdts	ORDINAL
cana-1932	76	1	f1	PERSON
cana-1932	76	2	f2	ORG
cana-1932	76	3	1	CARDINAL
cana-1932	76	4	2	CARDINAL
cana-1932	77	1	3.6	CARDINAL
cana-1932	79	1	𝑋 × 𝑌	ORG
cana-1932	79	2	z(u	PERSON
cana-1932	79	3	1	CARDINAL
cana-1932	79	4	2	CARDINAL
cana-1932	80	1	1 ≠	QUANTITY
cana-1932	80	2	2 ≠	QUANTITY
cana-1932	81	1	1 ≠	QUANTITY
cana-1932	81	2	two	CARDINAL
cana-1932	81	3	1074	CARDINAL
cana-1932	81	4	32	CARDINAL
cana-1932	81	5	3 (	CARDINAL
cana-1932	82	1	157	CARDINAL
cana-1932	84	1	f1	PERSON
cana-1932	84	2	f2	ORG
cana-1932	84	3	1	CARDINAL
cana-1932	84	4	2	CARDINAL
cana-1932	84	5	f1(y 1	FAC
cana-1932	84	6	1	CARDINAL
cana-1932	84	7	1	CARDINAL
cana-1932	84	8	2	CARDINAL
cana-1932	84	9	0	CARDINAL
cana-1932	84	10	x.	GPE
cana-1932	84	11	∈	ORG
cana-1932	84	12	1	CARDINAL
cana-1932	84	13	∗ 1 ∈ τ1 ×	DATE
cana-1932	84	14	∈	ORG
cana-1932	84	15	1	CARDINAL
cana-1932	84	16	f1 ∗ 11	LAW
cana-1932	84	17	∗ 12	DATE
cana-1932	84	18	1	CARDINAL
cana-1932	84	19	1 ∗ 11	DATE
cana-1932	84	20	2	CARDINAL
cana-1932	84	21	f1	PERSON
cana-1932	85	1	f2	ORG
cana-1932	85	2	1	CARDINAL
cana-1932	85	3	1 ∗	CARDINAL
cana-1932	85	4	1	CARDINAL
cana-1932	85	5	2	CARDINAL
cana-1932	85	6	11(z2	CARDINAL
cana-1932	85	7	2	CARDINAL
cana-1932	85	8	12)(y	CARDINAL
cana-1932	85	9	2	CARDINAL
cana-1932	85	10	2	CARDINAL
cana-1932	85	11	0 ⇒	PERCENT
cana-1932	85	12	1	CARDINAL
cana-1932	85	13	f2	ORG
cana-1932	85	14	2	CARDINAL
cana-1932	85	15	0 ⇒	PERCENT
cana-1932	85	16	1	CARDINAL
cana-1932	85	17	01(x	PERSON
cana-1932	85	18	f2	ORG
cana-1932	85	19	2	CARDINAL
cana-1932	87	1	01(x	PERSON
cana-1932	87	2	2	CARDINAL
cana-1932	87	3	02(x	TIME
cana-1932	87	4	01(x	PERSON
cana-1932	87	5	2	CARDINAL
cana-1932	87	6	02(x	TIME
cana-1932	87	7	∈	ORG
cana-1932	87	8	1	CARDINAL
cana-1932	87	9	0 or g 1	CARDINAL
cana-1932	87	10	11(y	DATE
cana-1932	88	1	0	CARDINAL
cana-1932	88	2	∧ 12(y	PRODUCT
cana-1932	89	1	0	CARDINAL
cana-1932	89	2	f1	PERSON
cana-1932	89	3	∗ 11)(x	DATE
cana-1932	90	1	0	CARDINAL
cana-1932	91	1	0 &	ORG
cana-1932	91	2	∗ 12	DATE
cana-1932	92	1	0	CARDINAL
cana-1932	93	1	2	CARDINAL
cana-1932	93	2	∗ 11	DATE
cana-1932	94	1	1	CARDINAL
cana-1932	95	1	∗ 12	DATE
cana-1932	95	2	2	CARDINAL
cana-1932	95	3	∗ 1	DATE
cana-1932	95	4	0	CARDINAL
cana-1932	96	1	3.7 assume,{(xλ	PERCENT
cana-1932	97	1	1074	CARDINAL
cana-1932	97	2	32	CARDINAL
cana-1932	97	3	3 (	CARDINAL
cana-1932	97	4	158	CARDINAL
cana-1932	97	5	f2	ORG
cana-1932	99	1	∏	CARDINAL
cana-1932	99	2	∏	CARDINAL
cana-1932	99	3	∏	CARDINAL
cana-1932	99	4	∏	CARDINAL
cana-1932	100	1	∏	CARDINAL
cana-1932	100	2	∈	ORG
cana-1932	100	3	∏	CARDINAL
cana-1932	100	4	∀x	ORG
cana-1932	100	5	∈	ORG
cana-1932	100	6	fdos	ORG
cana-1932	100	7	∈	ORG
cana-1932	100	8	1	CARDINAL
cana-1932	100	9	severalλ′s	NORP
cana-1932	100	10	3.8	CARDINAL
cana-1932	101	1	assume,{(xλ	ORG
cana-1932	105	1	two	CARDINAL
cana-1932	105	2	∈∏	CARDINAL
cana-1932	106	1	∀λ	PERSON
cana-1932	107	1	two	CARDINAL
cana-1932	107	2	1	CARDINAL
cana-1932	107	3	2	CARDINAL
cana-1932	107	4	1	CARDINAL
cana-1932	107	5	≠ μ	ORG
cana-1932	107	6	1	CARDINAL
cana-1932	107	7	≠ μ	ORG
cana-1932	110	1	∏	CARDINAL
cana-1932	110	2	f2	ORG
cana-1932	111	1	1	CARDINAL
cana-1932	112	1	∏(g 2	LAW
cana-1932	113	1	∀𝜆∈	ORG
cana-1932	113	2	μ(xμ	DATE
cana-1932	113	3	1074	CARDINAL
cana-1932	113	4	32	CARDINAL
cana-1932	113	5	3 (	CARDINAL
cana-1932	113	6	159	CARDINAL
cana-1932	113	7	f2	ORG
cana-1932	113	8	∏(f2)λ λ ϵ	PERSON
cana-1932	113	9	1	CARDINAL
cana-1932	113	10	1	CARDINAL
cana-1932	113	11	1	CARDINAL
cana-1932	113	12	∏	DATE
cana-1932	113	13	2	CARDINAL
cana-1932	113	14	2	CARDINAL
cana-1932	113	15	2	CARDINAL
cana-1932	113	16	∏	DATE
cana-1932	114	1	∏	CARDINAL
cana-1932	114	2	f2	ORG
cana-1932	114	3	1	CARDINAL
cana-1932	115	1	∏	DATE
cana-1932	115	2	2	CARDINAL
cana-1932	115	3	1	CARDINAL
cana-1932	115	4	2	CARDINAL
cana-1932	115	5	1	CARDINAL
cana-1932	116	1	1	CARDINAL
cana-1932	116	2	𝜆∈	ORG
cana-1932	116	3	1	CARDINAL
cana-1932	116	4	f2	ORG
cana-1932	116	5	2	CARDINAL
cana-1932	117	1	2	CARDINAL
cana-1932	117	2	𝜆∈	ORG
cana-1932	117	3	2	CARDINAL
cana-1932	117	4	2	CARDINAL
cana-1932	117	5	2	CARDINAL
cana-1932	117	6	0	CARDINAL
cana-1932	117	7	1074	CARDINAL
cana-1932	117	8	32	CARDINAL
cana-1932	117	9	3 (	CARDINAL
cana-1932	117	10	160	CARDINAL
cana-1932	118	1	0	CARDINAL
cana-1932	118	2	two	CARDINAL
cana-1932	121	1	1	CARDINAL
cana-1932	121	2	•	CARDINAL
cana-1932	122	1	two	CARDINAL
cana-1932	124	1	•	CARDINAL
cana-1932	127	1	2	CARDINAL
cana-1932	127	2	•	CARDINAL
cana-1932	128	1	two	CARDINAL
cana-1932	129	1	•	CARDINAL
cana-1932	132	1	1	CARDINAL
cana-1932	132	2	chang	PERSON
cana-1932	132	3	c. l.	PERSON
cana-1932	132	4	1968	DATE
cana-1932	134	1	24(1	CARDINAL
cana-1932	134	2	182	CARDINAL
cana-1932	135	1	2	CARDINAL
cana-1932	135	2	kandil	GPE
cana-1932	135	3	wafaie	NORP
cana-1932	135	4	m.	PERSON
cana-1932	135	5	math.15	ORG
cana-1932	135	6	2	CARDINAL
cana-1932	135	7	2007	DATE
cana-1932	135	8	1-23	CARDINAL
cana-1932	136	1	3	CARDINAL
cana-1932	136	2	62(1994	CARDINAL
cana-1932	136	3	341	CARDINAL
cana-1932	137	1	4	CARDINAL
cana-1932	137	2	k wong	PERSON
cana-1932	137	3	45(1974	DATE
cana-1932	137	4	512-521	CARDINAL
cana-1932	138	1	5	CARDINAL
cana-1932	138	2	l. a.	PERSON
cana-1932	138	3	1965	DATE
cana-1932	140	1	8(3	DATE
cana-1932	140	2	338	CARDINAL
cana-1932	141	1	6	CARDINAL
cana-1932	141	2	dr	PERSON
cana-1932	141	3	21	CARDINAL
cana-1932	141	4	4	CARDINAL
cana-1932	141	5	2022	CARDINAL
cana-1932	141	6	1651-1664	DATE
cana-1932	142	1	7	CARDINAL
cana-1932	142	2	r.	PERSON
cana-1932	142	3	1976	DATE
cana-1932	144	1	375	CARDINAL
cana-1932	145	1	8	CARDINAL
cana-1932	145	2	katsaras	GPE
cana-1932	145	3	a. k.	PERSON
cana-1932	145	4	1980	DATE
cana-1932	147	1	547-559	CARDINAL
cana-1932	148	1	1074	CARDINAL
cana-1932	148	2	32	CARDINAL
cana-1932	148	3	3 (	CARDINAL
cana-1932	148	4	161	CARDINAL
cana-1932	149	1	9	CARDINAL
cana-1932	149	2	sridharan, m., & sivakumar	ORG
cana-1932	149	3	m. (	PERSON
cana-1932	149	4	1997	DATE
cana-1932	151	1	indian	NORP
cana-1932	151	2	28(3	DATE
cana-1932	151	3	345	CARDINAL
cana-1932	152	1	10	CARDINAL
cana-1932	152	2	r., & pal	ORG
cana-1932	152	3	t. k.	PERSON
cana-1932	152	4	2000	DATE
cana-1932	154	1	111(1	CARDINAL
cana-1932	154	2	119	CARDINAL
cana-1932	155	1	11	CARDINAL
cana-1932	155	2	samanta	GPE
cana-1932	155	3	t., & mondal	ORG
cana-1932	155	4	s.	PERSON
cana-1932	155	5	2010	DATE
cana-1932	156	1	543	CARDINAL
cana-1932	157	1	12	CARDINAL
cana-1932	157	2	sridharan, m., & sivakumar	ORG
cana-1932	157	3	m. (	PERSON
cana-1932	157	4	1997	DATE
cana-1932	159	1	indian	NORP
cana-1932	159	2	28(3	DATE
cana-1932	159	3	345	CARDINAL
cana-1932	160	1	13	CARDINAL
cana-1932	160	2	basu, a., & pal	ORG
cana-1932	160	3	t. k.	PERSON
cana-1932	160	4	2003	DATE
cana-1932	162	1	136(2	CARDINAL
cana-1932	162	2	171183	DATE
cana-1932	163	1	14	CARDINAL
cana-1932	163	2	j. m.	PERSON
cana-1932	163	3	2002	DATE
cana-1932	165	1	90(9	CARDINAL
cana-1932	165	2	1557-1577	CARDINAL
cana-1932	166	1	15	CARDINAL
cana-1932	166	2	m. m.	PERSON
cana-1932	166	3	2004	DATE
cana-1932	168	1	1	CARDINAL
cana-1932	169	1	3-26	CARDINAL