id	sid	eid	entity	type
cana-6279	1	1	1074	CARDINAL
cana-6279	1	2	32	CARDINAL
cana-6279	2	1	2025	CARDINAL
cana-6279	2	2	3651	DATE
cana-6279	2	3	algebraic	PERSON
cana-6279	2	4	farah	PERSON
cana-6279	3	1	ahmad 𝟐∗	PERSON
cana-6279	3	2	fauzia	ORG
cana-6279	3	3	𝟑 1department of mathematics & statistics	ORG
cana-6279	3	4	integral university	ORG
cana-6279	3	5	lucknow	GPE
cana-6279	3	6	farah@iul.ac.in	GPE
cana-6279	4	1	2department	TIME
cana-6279	4	2	mathematics & statistics	ORG
cana-6279	4	3	integral university	ORG
cana-6279	4	4	lucknow	GPE
cana-6279	4	5	3department	CARDINAL
cana-6279	4	6	mathematics & statistics	ORG
cana-6279	4	7	integral university	ORG
cana-6279	4	8	lucknow	GPE
cana-6279	5	1	2	CARDINAL
cana-6279	5	2	revised:03/10/2025	PERSON
cana-6279	5	3	two	CARDINAL
cana-6279	7	1	+ 4	DATE
cana-6279	7	2	four	CARDINAL
cana-6279	12	1	5	CARDINAL
cana-6279	12	2	gis	ORG
cana-6279	15	1	10-13	CARDINAL
cana-6279	18	1	3	CARDINAL
cana-6279	18	2	1074	CARDINAL
cana-6279	18	3	32	CARDINAL
cana-6279	19	1	2025	CARDINAL
cana-6279	19	2	3652	DATE
cana-6279	25	1	three	CARDINAL
cana-6279	25	2	three	CARDINAL
cana-6279	28	1	four	CARDINAL
cana-6279	28	2	+ 4	DATE
cana-6279	28	3	1	CARDINAL
cana-6279	29	1	stirling	GPE
cana-6279	31	1	das	ORG
cana-6279	31	2	2016	CARDINAL
cana-6279	31	3	lagrange	GPE
cana-6279	31	4	india	GPE
cana-6279	33	1	2	CARDINAL
cana-6279	33	2	4	CARDINAL
cana-6279	33	3	1	CARDINAL
cana-6279	33	4	2	CARDINAL
cana-6279	34	1	1	CARDINAL
cana-6279	34	2	3	CARDINAL
cana-6279	35	1	2	CARDINAL
cana-6279	35	2	1)(𝜌 + 1	DATE
cana-6279	36	1	1074	CARDINAL
cana-6279	36	2	32	CARDINAL
cana-6279	37	1	2025	CARDINAL
cana-6279	37	2	3653	DATE
cana-6279	38	1	2	CARDINAL
cana-6279	39	1	1	CARDINAL
cana-6279	39	2	+ 1	DATE
cana-6279	40	1	2)(𝜌	CARDINAL
cana-6279	42	1	2	CARDINAL
cana-6279	43	1	2	CARDINAL
cana-6279	44	1	3	CARDINAL
cana-6279	44	2	2	CARDINAL
cana-6279	44	3	4	CARDINAL
cana-6279	45	1	1)∆𝑦0	CARDINAL
cana-6279	45	2	1	CARDINAL
cana-6279	45	3	2	CARDINAL
cana-6279	46	1	1)(𝜌	DATE
cana-6279	46	2	2	CARDINAL
cana-6279	46	3	3	CARDINAL
cana-6279	47	1	1)(𝜌	DATE
cana-6279	47	2	2	CARDINAL
cana-6279	47	3	4	CARDINAL
cana-6279	49	1	1)(𝜌	DATE
cana-6279	50	1	2)(𝜌	CARDINAL
cana-6279	50	2	3	CARDINAL
cana-6279	50	3	5	CARDINAL
cana-6279	52	1	+ 𝜌(𝜌−1	CARDINAL
cana-6279	52	2	2	CARDINAL
cana-6279	52	3	2 +	CARDINAL
cana-6279	52	4	1 2	CARDINAL
cana-6279	52	5	3	CARDINAL
cana-6279	52	6	∆3𝑦−1 + 𝜌(𝜌2−1)(𝜌−2)	PERSON
cana-6279	52	7	4	CARDINAL
cana-6279	52	8	2 +	CARDINAL
cana-6279	52	9	1 2	CARDINAL
cana-6279	52	10	5	CARDINAL
cana-6279	53	1	2 +	DATE
cana-6279	54	1	1	CARDINAL
cana-6279	54	2	2	CARDINAL
cana-6279	54	3	1 + ∆𝑦−1	DATE
cana-6279	54	4	2	CARDINAL
cana-6279	54	5	2	CARDINAL
cana-6279	54	6	+ 1	DATE
cana-6279	54	7	3	CARDINAL
cana-6279	55	1	+ 2)(𝜌 + 3)∆2𝑦−3	DATE
cana-6279	56	1	1)∆3𝑦−2 2	DATE
cana-6279	56	2	four	CARDINAL
cana-6279	56	3	+ 4	DATE
cana-6279	56	4	1	CARDINAL
cana-6279	56	5	2	CARDINAL
cana-6279	57	1	1	CARDINAL
cana-6279	57	2	3	CARDINAL
cana-6279	58	1	2	CARDINAL
cana-6279	58	2	1)(𝜌 + 1	DATE
cana-6279	60	1	2	CARDINAL
cana-6279	62	1	3	CARDINAL
cana-6279	63	1	1074	CARDINAL
cana-6279	63	2	32	CARDINAL
cana-6279	64	1	2025	CARDINAL
cana-6279	64	2	3654	CARDINAL
cana-6279	65	1	4	CARDINAL
cana-6279	66	1	2	CARDINAL
cana-6279	67	1	1	CARDINAL
cana-6279	67	2	+ 1	DATE
cana-6279	68	1	2)(𝜌	CARDINAL
cana-6279	72	1	2	CARDINAL
cana-6279	75	1	4	CARDINAL
cana-6279	76	1	2	CARDINAL
cana-6279	78	1	3	CARDINAL
cana-6279	79	1	∆3𝑦−4+∆3𝑦−6 2	PRODUCT
cana-6279	79	2	4	CARDINAL
cana-6279	80	1	∆4𝑦−6	PERSON
cana-6279	81	1	1	CARDINAL
cana-6279	81	2	3𝑡2 + 2𝑡 + 1	DATE
cana-6279	81	3	6	CARDINAL
cana-6279	81	4	1	CARDINAL
cana-6279	81	5	2	CARDINAL
cana-6279	81	6	6−2 1	CARDINAL
cana-6279	81	7	4	CARDINAL
cana-6279	81	8	121	CARDINAL
cana-6279	81	9	1	CARDINAL
cana-6279	82	1	1	CARDINAL
cana-6279	82	2	t y δy	DATE
cana-6279	82	3	2	CARDINAL
cana-6279	83	1	6	CARDINAL
cana-6279	83	2	6	CARDINAL
cana-6279	83	3	1074	CARDINAL
cana-6279	83	4	32	CARDINAL
cana-6279	84	1	2025	CARDINAL
cana-6279	84	2	3655	DATE
cana-6279	84	3	2	CARDINAL
cana-6279	87	1	𝟔 error %	PERCENT
cana-6279	87	2	1	CARDINAL
cana-6279	88	1	121	CARDINAL
cana-6279	89	1	121	CARDINAL
cana-6279	89	2	0 3	DATE
cana-6279	89	3	stirling	ORG
cana-6279	89	4	121	CARDINAL
cana-6279	89	5	0 4	DATE
cana-6279	89	6	121	CARDINAL
cana-6279	89	7	0 5	DATE
cana-6279	89	8	121	CARDINAL
cana-6279	89	9	121	CARDINAL
cana-6279	89	10	0	CARDINAL
cana-6279	89	11	2	CARDINAL
cana-6279	90	1	4.5	CARDINAL
cana-6279	90	2	0	CARDINAL
cana-6279	90	3	1	CARDINAL
cana-6279	90	4	4.5	CARDINAL
cana-6279	90	5	𝑦(4.5	GPE
cana-6279	91	1	96.5	CARDINAL
cana-6279	91	2	3	CARDINAL
cana-6279	91	3	2	CARDINAL
cana-6279	92	1	87 -33 -4	PERCENT
cana-6279	93	1	29	CARDINAL
cana-6279	94	1	0	CARDINAL
cana-6279	94	2	3	CARDINAL
cana-6279	94	3	8	CARDINAL
cana-6279	94	4	0	CARDINAL
cana-6279	94	5	0	CARDINAL
cana-6279	94	6	4	CARDINAL
cana-6279	97	1	4.5 error %	PERCENT
cana-6279	97	2	1	CARDINAL
cana-6279	98	1	96.5	CARDINAL
cana-6279	100	1	96.5	CARDINAL
cana-6279	101	1	stirling	ORG
cana-6279	101	2	96.5	CARDINAL
cana-6279	101	3	0	CARDINAL
cana-6279	101	4	1074	CARDINAL
cana-6279	101	5	32	CARDINAL
cana-6279	102	1	2025	CARDINAL
cana-6279	102	2	3656	DATE
cana-6279	102	3	4	CARDINAL
cana-6279	103	1	96.5	CARDINAL
cana-6279	103	2	0 5	DATE
cana-6279	103	3	96.5	CARDINAL
cana-6279	103	4	96.5	CARDINAL
cana-6279	103	5	0	CARDINAL
cana-6279	104	1	3	CARDINAL
cana-6279	108	1	0.615661	CARDINAL
cana-6279	108	2	5	CARDINAL
cana-6279	108	3	example 3	DATE
cana-6279	109	1	0 1.000000	CARDINAL
cana-6279	109	2	0.01519	CARDINAL
cana-6279	109	3	0.02992	CARDINAL
cana-6279	109	4	0.001115	CARDINAL
cana-6279	109	5	0.001071	CARDINAL
cana-6279	109	6	0.04511	CARDINAL
cana-6279	109	7	0.000241	CARDINAL
cana-6279	109	8	0.002186	CARDINAL
cana-6279	109	9	0.07366	CARDINAL
cana-6279	109	10	0.02631	CARDINAL
cana-6279	109	11	0.002427	CARDINAL
cana-6279	109	12	0.001434	CARDINAL
cana-6279	109	13	0.09998	CARDINAL
cana-6279	109	14	0.02381	ORG
cana-6279	109	15	0.000679	CARDINAL
cana-6279	109	16	0.003861	CARDINAL
cana-6279	109	17	40	CARDINAL
cana-6279	109	18	0.12325	CARDINAL
cana-6279	109	19	0.01953	CARDINAL
cana-6279	109	20	0.004540	CARDINAL
cana-6279	109	21	0.14278	CARDINAL
cana-6279	109	22	0.01574	CARDINAL
cana-6279	109	23	0.005857 60	MONEY
cana-6279	109	24	0.15798 -0.010392 70	MONEY
cana-6279	109	25	0.173648	ORG
cana-6279	109	26	6	CARDINAL
cana-6279	111	1	520 error %	PERCENT
cana-6279	111	2	1	CARDINAL
cana-6279	112	1	0.615661475 0.000609	MONEY
cana-6279	113	1	0.615858611 0.000197 0.03209737	MONEY
cana-6279	114	1	stirling	ORG
cana-6279	114	2	0.615661475	CARDINAL
cana-6279	114	3	0.61556142 0.00009958 0.01617448	MONEY
cana-6279	114	4	1074	CARDINAL
cana-6279	114	5	32	CARDINAL
cana-6279	114	6	2025	CARDINAL
cana-6279	114	7	3657	CARDINAL
cana-6279	114	8	6	CARDINAL
cana-6279	114	9	0.09875565	MONEY
cana-6279	114	10	1	CARDINAL
cana-6279	114	11	4	CARDINAL
cana-6279	115	1	0.74	CARDINAL
cana-6279	115	2	2.09532	CARDINAL
cana-6279	116	1	7	CARDINAL
cana-6279	116	2	example 4	DATE
cana-6279	116	3	t y δy	DATE
cana-6279	116	4	0.64	CARDINAL
cana-6279	116	5	1.896481	MONEY
cana-6279	116	6	0.65	CARDINAL
cana-6279	116	7	0.019445	ORG
cana-6279	116	8	1.954237 0.019640 0.000197	MONEY
cana-6279	117	1	0.73	CARDINAL
cana-6279	117	2	0.020855 0.000210	PRODUCT
cana-6279	117	3	0.75	CARDINAL
cana-6279	117	4	0.76	CARDINAL
cana-6279	117	5	2.138276	MONEY
cana-6279	117	6	1074	CARDINAL
cana-6279	117	7	32	CARDINAL
cana-6279	118	1	2025	CARDINAL
cana-6279	118	2	3658	CARDINAL
cana-6279	118	3	8	CARDINAL
cana-6279	121	1	0.74 error %	PERCENT
cana-6279	121	2	1	CARDINAL
cana-6279	122	1	2.09532	CARDINAL
cana-6279	123	1	2.09532	CARDINAL
cana-6279	123	2	0 3	DATE
cana-6279	123	3	stirling	ORG
cana-6279	123	4	2.09532	CARDINAL
cana-6279	123	5	0 4	DATE
cana-6279	123	6	2.07422	CARDINAL
cana-6279	123	7	1.00700 5	DATE
cana-6279	123	8	2.017533 0.077787	MONEY
cana-6279	123	9	2.09585 0.00053	PRODUCT
cana-6279	123	10	9	CARDINAL
cana-6279	124	1	examples gauss’s	PERSON
cana-6279	124	2	stirling	GPE
cana-6279	124	3	1 121	CARDINAL
cana-6279	124	4	121 121	CARDINAL
cana-6279	124	5	2	CARDINAL
cana-6279	124	6	96.5	CARDINAL
cana-6279	124	7	96.5	CARDINAL
cana-6279	124	8	96.5	CARDINAL
cana-6279	124	9	96.5	CARDINAL
cana-6279	124	10	96.5	CARDINAL
cana-6279	124	11	96.5	CARDINAL
cana-6279	124	12	3	CARDINAL
cana-6279	124	13	0.6156615	MONEY
cana-6279	124	14	4	CARDINAL
cana-6279	126	1	four	CARDINAL
cana-6279	128	1	stirling	GPE
cana-6279	130	1	1074	CARDINAL
cana-6279	130	2	32	CARDINAL
cana-6279	131	1	2025	CARDINAL
cana-6279	131	2	3659	DATE
cana-6279	133	1	lucknow	GPE
cana-6279	134	1	1	CARDINAL
cana-6279	134	2	f. abdulla	PERSON
cana-6279	134	3	m. hossain	PERSON
cana-6279	134	4	m. rahman	PERSON
cana-6279	134	5	j. math	PERSON
cana-6279	137	1	4	CARDINAL
cana-6279	137	2	4	CARDINAL
cana-6279	138	1	33–48, 2004	DATE
cana-6279	139	1	2	CARDINAL
cana-6279	139	2	b. das	PERSON
cana-6279	139	3	d.	NORP
cana-6279	139	4	newton	GPE
cana-6279	140	1	j. adv.	PERSON
cana-6279	143	1	2	CARDINAL
cana-6279	143	2	10	CARDINAL
cana-6279	144	1	513–517	CARDINAL
cana-6279	144	2	2016	DATE
cana-6279	145	1	3	CARDINAL
cana-6279	145	2	b. das	PERSON
cana-6279	145	3	d.	NORP
cana-6279	145	4	newton	GPE
cana-6279	146	1	j. math	PERSON
cana-6279	147	1	technol	GPE
cana-6279	149	1	2016	DATE
cana-6279	150	1	4	CARDINAL
cana-6279	150	2	k. bunonyo	PERSON
cana-6279	151	1	j. sci.	PERSON
cana-6279	153	1	9	CARDINAL
cana-6279	153	2	4	CARDINAL
cana-6279	154	1	2019	DATE
cana-6279	155	1	5	CARDINAL
cana-6279	155	2	g. garnero	PERSON
cana-6279	155	3	d. godone	PERSON
cana-6279	159	1	sci.	ORG
cana-6279	159	2	40	DATE
cana-6279	160	1	139–144, 2014	DATE
cana-6279	161	1	6	CARDINAL
cana-6279	161	2	k. a. y. a. erdogan	PERSON
cana-6279	161	3	j. tech	PERSON
cana-6279	162	1	sci	ORG
cana-6279	162	2	technol	PERSON
cana-6279	164	1	47–52, 2013	DATE
cana-6279	165	1	7	CARDINAL
cana-6279	165	2	m. habib	PERSON
cana-6279	165	3	a. malkawi	PERSON
cana-6279	165	4	m. awwad	PERSON
cana-6279	165	5	12	CARDINAL
cana-6279	165	6	1	CARDINAL
cana-6279	166	1	190–202,	DATE
cana-6279	166	2	2020	DATE
cana-6279	167	1	8	CARDINAL
cana-6279	167	2	s. a. dyer	PERSON
cana-6279	167	3	j. s. dyer	PERSON
cana-6279	168	1	meas	GPE
cana-6279	169	1	mag	PERSON
cana-6279	170	1	4	CARDINAL
cana-6279	170	2	1	CARDINAL
cana-6279	171	1	44–46, 2002	DATE
cana-6279	172	1	m. a. wahab	PERSON
cana-6279	174	1	eng	GPE
cana-6279	175	1	winter	DATE
cana-6279	175	2	17	CARDINAL
cana-6279	176	1	1–6	CARDINAL
cana-6279	176	2	2017	DATE
cana-6279	177	1	9	CARDINAL
cana-6279	177	2	m. b. hisham	PERSON
cana-6279	177	3	s. n. yaakob	PERSON
cana-6279	177	4	r. a. raof	PERSON
cana-6279	177	5	a. b. nazren	PERSON
cana-6279	177	6	n. m. wafi	PERSON
cana-6279	178	1	sci	ORG
cana-6279	178	2	lett.	PERSON
cana-6279	179	1	23	CARDINAL
cana-6279	180	1	6	CARDINAL
cana-6279	181	1	5150	DATE
cana-6279	181	2	2017	DATE
cana-6279	182	1	10	CARDINAL
cana-6279	182	2	n. ahmad	PERSON
cana-6279	182	3	k. f. deeba	PERSON
cana-6279	182	4	j. sci.	PERSON
cana-6279	183	1	17	CARDINAL
cana-6279	183	2	3	CARDINAL
cana-6279	184	1	401–406	CARDINAL
cana-6279	184	2	2017	DATE
cana-6279	185	1	11	CARDINAL
cana-6279	185	2	n. ahmad	PERSON
cana-6279	185	3	k. f. deeba	PERSON
cana-6279	185	4	j. ultra sci.	PERSON
cana-6279	186	1	sci.	ORG
cana-6279	188	1	31	DATE
cana-6279	188	2	2	CARDINAL
cana-6279	189	1	1–6	CARDINAL
cana-6279	189	2	2019	DATE
cana-6279	190	1	12	CARDINAL
cana-6279	190	2	n. ahmad	PERSON
cana-6279	190	3	k. f. deeba	PERSON
cana-6279	191	1	j.	PERSON
cana-6279	193	1	16	CARDINAL
cana-6279	193	2	5	CARDINAL
cana-6279	194	1	687–693	CARDINAL
cana-6279	194	2	2020	DATE