id	sid	eid	entity	type
ejpam-4940	1	1	european journal	ORG
ejpam-4940	2	1	16	CARDINAL
ejpam-4940	2	2	4	CARDINAL
ejpam-4940	2	3	2023	CARDINAL
ejpam-4940	2	4	2693	CARDINAL
ejpam-4940	2	5	1307-5543	DATE
ejpam-4940	3	1	new york	GPE
ejpam-4940	3	2	alanod m. sibih department	PERSON
ejpam-4940	3	3	jamoum university college	ORG
ejpam-4940	3	4	al-qura university	ORG
ejpam-4940	3	5	21955	DATE
ejpam-4940	3	6	saudi arabia	GPE
ejpam-4940	4	1	q(t)±i	ORG
ejpam-4940	5	1	4k2t4k−2+i2m2t2m−2±	CARDINAL
ejpam-4940	5	2	4t2k	CARDINAL
ejpam-4940	6	1	4itm	CARDINAL
ejpam-4940	6	2	1	CARDINAL
ejpam-4940	6	3	k ≥ 2m	ORG
ejpam-4940	6	4	1	CARDINAL
ejpam-4940	6	5	2	CARDINAL
ejpam-4940	9	1	2	CARDINAL
ejpam-4940	9	2	2p	CARDINAL
ejpam-4940	9	3	4p	CARDINAL
ejpam-4940	9	4	0	CARDINAL
ejpam-4940	10	1	a. tekcan	PERSON
ejpam-4940	10	2	a. chandoul et al	PERSON
ejpam-4940	12	1	2020	DATE
ejpam-4940	12	2	11d45	CARDINAL
ejpam-4940	12	3	11y65	CARDINAL
ejpam-4940	12	4	pell	PERSON
ejpam-4940	12	5	1	CARDINAL
ejpam-4940	15	1	one	CARDINAL
ejpam-4940	24	1	1900	DATE
ejpam-4940	24	2	hilbert	PERSON
ejpam-4940	24	3	4	CARDINAL
ejpam-4940	26	1	1970	DATE
ejpam-4940	26	2	3	CARDINAL
ejpam-4940	27	1	amsibih@uqu.edu.sa	PERSON
ejpam-4940	27	2	alanod	GPE
ejpam-4940	27	3	m. sibih	PERSON
ejpam-4940	27	4	2693	CARDINAL
ejpam-4940	28	1	2023	CARDINAL
ejpam-4940	29	1	a. m. sibih	PERSON
ejpam-4940	30	1	j. pure	PERSON
ejpam-4940	30	2	16	CARDINAL
ejpam-4940	30	3	4	CARDINAL
ejpam-4940	30	4	2023	CARDINAL
ejpam-4940	30	5	2693	CARDINAL
ejpam-4940	32	1	one	CARDINAL
ejpam-4940	32	2	one	CARDINAL
ejpam-4940	33	1	one	CARDINAL
ejpam-4940	34	1	euler theorem	PERSON
ejpam-4940	35	1	a. tekcan	PERSON
ejpam-4940	36	1	one	CARDINAL
ejpam-4940	36	2	a.	PERSON
ejpam-4940	37	1	2	CARDINAL
ejpam-4940	37	2	a. chandoul et al	PERSON
ejpam-4940	38	1	1	CARDINAL
ejpam-4940	39	1	2	CARDINAL
ejpam-4940	39	2	4	CARDINAL
ejpam-4940	39	3	0	CARDINAL
ejpam-4940	39	4	t ≥ 2	DATE
ejpam-4940	42	1	4p	CARDINAL
ejpam-4940	42	2	4p	CARDINAL
ejpam-4940	42	3	0	CARDINAL
ejpam-4940	43	1	later years	DATE
ejpam-4940	43	2	chandoul et al	GPE
ejpam-4940	44	1	1	CARDINAL
ejpam-4940	46	1	2p	CARDINAL
ejpam-4940	47	1	4p	CARDINAL
ejpam-4940	47	2	1	CARDINAL
ejpam-4940	47	3	0	CARDINAL
ejpam-4940	48	1	xn	ORG
ejpam-4940	48	2	2	CARDINAL
ejpam-4940	52	1	2	CARDINAL
ejpam-4940	52	2	4k2t4k−2+i2m2t2m−2±4imkt2k+m−2−4t2k∓4itm−1	CARDINAL
ejpam-4940	52	3	2	CARDINAL
ejpam-4940	52	4	1	CARDINAL
ejpam-4940	52	5	2	CARDINAL
ejpam-4940	55	1	4p	CARDINAL
ejpam-4940	55	2	1	CARDINAL
ejpam-4940	55	3	1	CARDINAL
ejpam-4940	56	1	±	CARDINAL
ejpam-4940	56	2	itm	ORG
ejpam-4940	56	3	a. m. sibih	PERSON
ejpam-4940	57	1	j. pure	PERSON
ejpam-4940	57	2	16	CARDINAL
ejpam-4940	57	3	4	CARDINAL
ejpam-4940	57	4	2023	CARDINAL
ejpam-4940	57	5	2693	CARDINAL
ejpam-4940	58	1	t)+1	NORP
ejpam-4940	58	2	2	CARDINAL
ejpam-4940	58	3	1	CARDINAL
ejpam-4940	58	4	2tk−m	CARDINAL
ejpam-4940	59	1	1	CARDINAL
ejpam-4940	59	2	2tk−m	CARDINAL
ejpam-4940	59	3	2	CARDINAL
ejpam-4940	59	4	1	DATE
ejpam-4940	59	5	2tk	CARDINAL
ejpam-4940	59	6	2	CARDINAL
ejpam-4940	59	7	t ≥ 2 3	DATE
ejpam-4940	60	1	2tk ] 4	EVENT
ejpam-4940	61	1	1	CARDINAL
ejpam-4940	61	2	1	CARDINAL
ejpam-4940	61	3	tk−1	ORG
ejpam-4940	61	4	2	CARDINAL
ejpam-4940	61	5	1	DATE
ejpam-4940	61	6	2tk−1	CARDINAL
ejpam-4940	61	7	2	CARDINAL
ejpam-4940	63	1	√	PERSON
ejpam-4940	63	2	t)+1	NORP
ejpam-4940	69	1	t)+1	NORP
ejpam-4940	70	1	2	CARDINAL
ejpam-4940	70	2	1	CARDINAL
ejpam-4940	70	3	2tk−m	CARDINAL
ejpam-4940	70	4	2	CARDINAL
ejpam-4940	71	1	2	CARDINAL
ejpam-4940	74	1	±	CARDINAL
ejpam-4940	74	2	itm	ORG
ejpam-4940	74	3	2	CARDINAL
ejpam-4940	75	1	1	CARDINAL
ejpam-4940	75	2	2	CARDINAL
ejpam-4940	77	1	4p	CARDINAL
ejpam-4940	77	2	4p	CARDINAL
ejpam-4940	77	3	0	CARDINAL
ejpam-4940	78	1	1	CARDINAL
ejpam-4940	78	2	+2kt2k−1±	CARDINAL
ejpam-4940	78	3	2	CARDINAL
ejpam-4940	78	4	un	ORG
ejpam-4940	78	5	e.	PERSON
ejpam-4940	79	1	xn	ORG
ejpam-4940	79	2	z. a. m. sibih	PERSON
ejpam-4940	80	1	j. pure	PERSON
ejpam-4940	80	2	16	CARDINAL
ejpam-4940	80	3	4	CARDINAL
ejpam-4940	80	4	2023	CARDINAL
ejpam-4940	80	5	2693	CARDINAL
ejpam-4940	80	6	3	CARDINAL
ejpam-4940	80	7	xn	ORG
ejpam-4940	82	1	− v1(2a0 + 2kt2k−1 ±	ORG
ejpam-4940	83	1	2β	CARDINAL
ejpam-4940	83	2	2	CARDINAL
ejpam-4940	83	3	3	CARDINAL
ejpam-4940	86	1	1	CARDINAL
ejpam-4940	86	2	2	CARDINAL
ejpam-4940	88	1	4p	CARDINAL
ejpam-4940	88	2	4p	CARDINAL
ejpam-4940	88	3	0	CARDINAL
ejpam-4940	89	1	1	CARDINAL
ejpam-4940	89	2	+2kt2k−1±	CARDINAL
ejpam-4940	89	3	2	CARDINAL
ejpam-4940	89	4	un	ORG
ejpam-4940	89	5	e.	PERSON
ejpam-4940	90	1	xn	ORG
ejpam-4940	90	2	3	CARDINAL
ejpam-4940	90	3	xn	ORG
ejpam-4940	92	1	− v1(2a0 + 2kt2k−1 ±	ORG
ejpam-4940	93	1	2β	CARDINAL
ejpam-4940	94	1	k ≥ 2.	ORG
ejpam-4940	94	2	1	CARDINAL
ejpam-4940	99	1	2kt2k−1 ±	CARDINAL
ejpam-4940	99	2	+ 2	CARDINAL
ejpam-4940	99	3	2	CARDINAL
ejpam-4940	100	1	2kt2k−1 ±	CARDINAL
ejpam-4940	100	2	±	CARDINAL
ejpam-4940	100	3	4kt2k−1 ± 2imtm−1	QUANTITY
ejpam-4940	100	4	2kt2k−1 ±	CARDINAL
ejpam-4940	101	1	± 4itm)(v	PERCENT
ejpam-4940	102	1	4itm	CARDINAL
ejpam-4940	103	1	1	CARDINAL
ejpam-4940	103	2	1	CARDINAL
ejpam-4940	103	3	u2 −	PERSON
ejpam-4940	103	4	±	CARDINAL
ejpam-4940	103	5	1	CARDINAL
ejpam-4940	103	6	3	CARDINAL
ejpam-4940	103	7	a. m. sibih	PERSON
ejpam-4940	104	1	j. pure	PERSON
ejpam-4940	104	2	16	CARDINAL
ejpam-4940	104	3	4	CARDINAL
ejpam-4940	104	4	2023	CARDINAL
ejpam-4940	104	5	2693	CARDINAL
ejpam-4940	108	1	4	CARDINAL
ejpam-4940	110	1	√	PERSON
ejpam-4940	111	1	al	PERSON
ejpam-4940	112	1	5	CARDINAL
ejpam-4940	114	1	al	PERSON
ejpam-4940	116	1	1	CARDINAL
ejpam-4940	116	2	ẽ	ORG
ejpam-4940	116	3	3	CARDINAL
ejpam-4940	116	4	uk	GPE
ejpam-4940	116	5	al	PERSON
ejpam-4940	117	1	al	PERSON
ejpam-4940	117	2	2a0	DATE
ejpam-4940	117	3	k−1)l−1 	GPE
ejpam-4940	118	1	al	PERSON
ejpam-4940	118	2	2a0	DATE
ejpam-4940	118	3	2a0	DATE
ejpam-4940	118	4	al	PERSON
ejpam-4940	118	5	2a0	DATE
ejpam-4940	118	6	a1	PERSON
ejpam-4940	118	7	al	PERSON
ejpam-4940	119	1	uk	GPE
ejpam-4940	119	2	ẽ.	ORG
ejpam-4940	119	3	2	CARDINAL
ejpam-4940	119	4	uk−1	GPE
ejpam-4940	119	5	vk−1	ORG
ejpam-4940	119	6	uk	GPE
ejpam-4940	119	7	ẽ	ORG
ejpam-4940	119	8	3	CARDINAL
ejpam-4940	119	9	2	CARDINAL
ejpam-4940	119	10	v1uk−1 + (a0v1 + β)vk−1	ORG
ejpam-4940	120	1	2	CARDINAL
ejpam-4940	120	2	v1uk−1 + (	ORG
ejpam-4940	120	3	a0v1 + δ)vk−1	DATE
ejpam-4940	120	4	a. m. sibih	PERSON
ejpam-4940	121	1	j. pure	PERSON
ejpam-4940	121	2	16	CARDINAL
ejpam-4940	121	3	4	CARDINAL
ejpam-4940	121	4	2023	CARDINAL
ejpam-4940	121	5	2693	CARDINAL
ejpam-4940	123	1	1	CARDINAL
ejpam-4940	125	1	al	PERSON
ejpam-4940	126	1	a0ykl−1	PRODUCT
ejpam-4940	126	2	2	CARDINAL
ejpam-4940	127	1	1	CARDINAL
ejpam-4940	127	2	√	PERSON
ejpam-4940	128	1	a1	PERSON
ejpam-4940	130	1	a0 + √	ORG
ejpam-4940	130	2	a0 + √	ORG
ejpam-4940	130	3	a0 + √	ORG
ejpam-4940	131	1	a0ykl−1	PRODUCT
ejpam-4940	132	1	4	CARDINAL
ejpam-4940	132	2	1	CARDINAL
ejpam-4940	132	3	xkl−1ykl−1	CARDINAL
ejpam-4940	132	4	− ykl−1xkl−2	PERSON
ejpam-4940	134	1	−1)kl	ORG
ejpam-4940	136	1	1	CARDINAL
ejpam-4940	136	2	uk	GPE
ejpam-4940	138	1	a. m. sibih	PERSON
ejpam-4940	139	1	j. pure	PERSON
ejpam-4940	139	2	16	CARDINAL
ejpam-4940	139	3	4	CARDINAL
ejpam-4940	139	4	2023	CARDINAL
ejpam-4940	139	5	2693	CARDINAL
ejpam-4940	139	6	xkl−1	GPE
ejpam-4940	139	7	a1,︸ ︷︷ ︸	PERSON
ejpam-4940	140	1	2a0	DATE
ejpam-4940	140	2	a1	PERSON
ejpam-4940	140	3	2a0	DATE
ejpam-4940	140	4	a1	PERSON
ejpam-4940	140	5	k−1)l−1	NORP
ejpam-4940	140	6	a1,︸ ︷︷ ︸ l−1	PERSON
ejpam-4940	140	7	a1	PRODUCT
ejpam-4940	140	8	a1	PERSON
ejpam-4940	140	9	2a0	DATE
ejpam-4940	140	10	a1	PERSON
ejpam-4940	140	11	k−1)l−1	NORP
ejpam-4940	140	12	a1	PERSON
ejpam-4940	140	13	a1,︸ ︷︷ ︸ l−1	PERSON
ejpam-4940	141	1	+ yl−2	PERSON
ejpam-4940	145	1	2	CARDINAL
ejpam-4940	145	2	2	CARDINAL
ejpam-4940	145	3	u1uk−1 +	DATE
ejpam-4940	145	4	2	CARDINAL
ejpam-4940	145	5	2	CARDINAL
ejpam-4940	145	6	2 k−1	PERCENT
ejpam-4940	145	7	+ α)2v2k−1	PERCENT
ejpam-4940	145	8	2 k−1	ORG
ejpam-4940	145	9	2p	CARDINAL
ejpam-4940	145	10	u21 − p	ORG
ejpam-4940	145	11	t)v21)u 2 k−1	ORG
ejpam-4940	146	1	t)v1(a0v1 + β)]uk−1vk−1	DATE
ejpam-4940	146	2	lemma	ORG
ejpam-4940	149	1	t)v1(a0v1 +	DATE
ejpam-4940	153	1	1	CARDINAL
ejpam-4940	153	2	uk	GPE
ejpam-4940	153	3	ẽ.	ORG
ejpam-4940	154	1	2	CARDINAL
ejpam-4940	155	1	+ 2	DATE
ejpam-4940	156	1	6	CARDINAL
ejpam-4940	157	1	1	CARDINAL
ejpam-4940	158	1	1	CARDINAL
ejpam-4940	158	2	a. m. sibih	PERSON
ejpam-4940	159	1	j. pure	PERSON
ejpam-4940	159	2	16	CARDINAL
ejpam-4940	159	3	4	CARDINAL
ejpam-4940	159	4	2023	CARDINAL
ejpam-4940	159	5	2693-2702	DATE
ejpam-4940	159	6	2	CARDINAL
ejpam-4940	159	7	un	ORG
ejpam-4940	159	8	xn	ORG
ejpam-4940	159	9	3	CARDINAL
ejpam-4940	160	1	xn	ORG
ejpam-4940	160	2	e.	PERSON
ejpam-4940	161	1	xn	ORG
ejpam-4940	161	2	3	CARDINAL
ejpam-4940	161	3	xn	ORG
ejpam-4940	163	1	2α+	CARDINAL
ejpam-4940	163	2	− v1(2a0	ORG
ejpam-4940	164	1	2β	CARDINAL
ejpam-4940	165	1	2η	CARDINAL
ejpam-4940	167	1	2δ + 2	QUANTITY
ejpam-4940	167	2	2	CARDINAL
ejpam-4940	169	1	1	CARDINAL
ejpam-4940	171	1	t4	PERSON
ejpam-4940	172	1	+ 2t+ 1	DATE
ejpam-4940	174	1	2t4 + 8t3	QUANTITY
ejpam-4940	177	1	u2 −	PERSON
ejpam-4940	179	1	1	CARDINAL
ejpam-4940	179	2	2t4 + 8t3	QUANTITY
ejpam-4940	181	1	2t6	CARDINAL
ejpam-4940	186	1	k ≥ 2	ORG
ejpam-4940	187	1	morover	PERSON
ejpam-4940	187	2	+ 2t+ 1	DATE
ejpam-4940	187	3	d(n	PERSON
ejpam-4940	187	4	+ 1	DATE
ejpam-4940	187	5	d(n	GPE
ejpam-4940	187	6	2n	CARDINAL
ejpam-4940	189	1	2n2 + 1	DATE
ejpam-4940	189	2	2n	CARDINAL
ejpam-4940	189	3	u2 −	PERSON
ejpam-4940	189	4	1	CARDINAL
ejpam-4940	189	5	a. m. sibih	PERSON
ejpam-4940	190	1	j. pure	PERSON
ejpam-4940	190	2	16	CARDINAL
ejpam-4940	190	3	4	CARDINAL
ejpam-4940	190	4	2023	CARDINAL
ejpam-4940	190	5	2693-2702 2701	DATE
ejpam-4940	190	6	2n2 + 1)uk−1 +	DATE
ejpam-4940	190	7	2n3 + 2n)vk−1	CARDINAL
ejpam-4940	190	8	2nuk−1 +	DATE
ejpam-4940	190	9	2n2 + 1)vk−1	CARDINAL
ejpam-4940	190	10	k ≥ 2.	ORG
ejpam-4940	191	1	4nx+	CARDINAL
ejpam-4940	191	2	4n2	CARDINAL
ejpam-4940	193	1	2	CARDINAL
ejpam-4940	193	2	0	CARDINAL
ejpam-4940	193	3	2n2 + 2n+ 1	CARDINAL
ejpam-4940	193	4	k ≥ 2	ORG
ejpam-4940	193	5	by	ORG
ejpam-4940	193	6	2n2 + 1)xk−1 +	DATE
ejpam-4940	194	1	8n3	ORDINAL
ejpam-4940	194	2	4n	CARDINAL
ejpam-4940	194	3	2nxk−1 +	DATE
ejpam-4940	194	4	2n2 + 1)yk−1	QUANTITY
ejpam-4940	195	1	2	CARDINAL
ejpam-4940	195	2	1	CARDINAL
ejpam-4940	196	1	17	CARDINAL
ejpam-4940	197	1	√	PERSON
ejpam-4940	198	1	4	CARDINAL
ejpam-4940	198	2	8	CARDINAL
ejpam-4940	200	1	33	CARDINAL
ejpam-4940	200	2	17v2	CARDINAL
ejpam-4940	200	3	1	CARDINAL
ejpam-4940	200	4	by	ORG
ejpam-4940	200	5	33uk−1 + 136vk−1	DATE
ejpam-4940	200	6	8uk−1 + 33vk−1	DATE
ejpam-4940	200	7	k ≥ 2.	ORG
ejpam-4940	203	1	17y2	CARDINAL
ejpam-4940	203	2	0	CARDINAL
ejpam-4940	203	3	65	CARDINAL
ejpam-4940	203	4	10	CARDINAL
ejpam-4940	203	5	k ≥ 2	ORG
ejpam-4940	203	6	by	ORG
ejpam-4940	203	7	33xk−1	CARDINAL
ejpam-4940	203	8	1296	DATE
ejpam-4940	203	9	8xk−1 + 33yk−1	CARDINAL
ejpam-4940	203	10	320	CARDINAL
ejpam-4940	204	1	2	CARDINAL
ejpam-4940	205	1	4t+ 2)x+	DATE
ejpam-4940	208	1	2t+1	DATE
ejpam-4940	208	2	2702	CARDINAL
ejpam-4940	209	1	2	CARDINAL
ejpam-4940	209	2	2	CARDINAL
ejpam-4940	210	1	2	CARDINAL
ejpam-4940	210	2	2t+ 1 2	DATE
ejpam-4940	211	1	2t+ 1 +	DATE
ejpam-4940	211	2	2 + 2	DATE
ejpam-4940	211	3	4t+ 2	DATE
ejpam-4940	211	4	4	DATE
ejpam-4940	211	5	2t+ 1)xk−1 +	DATE
ejpam-4940	212	1	6	CARDINAL
ejpam-4940	212	2	2 yk	QUANTITY
ejpam-4940	212	3	2xk−1 + (2t+	CARDINAL
ejpam-4940	212	4	8t−	CARDINAL
ejpam-4940	212	5	2	CARDINAL
ejpam-4940	212	6	al-qura university for	ORG
ejpam-4940	212	7	22uqu 4350388dsr01	CARDINAL
ejpam-4940	212	8	1	CARDINAL
ejpam-4940	212	9	a.	GPE
ejpam-4940	212	10	marques	GPE
ejpam-4940	212	11	d.	NORP
ejpam-4940	212	12	s. s	PERSON
ejpam-4940	214	1	2p	CARDINAL
ejpam-4940	215	1	4p	CARDINAL
ejpam-4940	216	1	1	CARDINAL
ejpam-4940	216	2	0	CARDINAL
ejpam-4940	216	3	11(2	CARDINAL
ejpam-4940	216	4	2019	CARDINAL
ejpam-4940	216	5	30	CARDINAL
ejpam-4940	217	1	2	CARDINAL
ejpam-4940	218	1	0	CARDINAL
ejpam-4940	219	1	malays	GPE
ejpam-4940	221	1	sci	ORG
ejpam-4940	221	2	2)33	CARDINAL
ejpam-4940	221	3	2	CARDINAL
ejpam-4940	221	4	2010	DATE
ejpam-4940	221	5	273	CARDINAL
ejpam-4940	222	1	3	CARDINAL
ejpam-4940	222	2	tenth	ORDINAL
ejpam-4940	222	3	hilbert	PERSON
ejpam-4940	222	4	lapok	PERSON
ejpam-4940	222	5	21	CARDINAL
ejpam-4940	222	6	1970	DATE
ejpam-4940	222	7	83	CARDINAL
ejpam-4940	223	1	4	CARDINAL
ejpam-4940	223	2	david hilbert	PERSON
ejpam-4940	224	1	gehalten auf dem	PERSON
ejpam-4940	224	2	paris	GPE
ejpam-4940	224	3	1900	DATE
ejpam-4940	225	1	k. ges	PERSON
ejpam-4940	226	1	wiss	PERSON
ejpam-4940	227	1	g. ottingen	PERSON
ejpam-4940	227	2	1900	DATE
ejpam-4940	227	3	253	CARDINAL