id	sid	eid	entity	type
ejpam-6611	1	1	european journal	ORG
ejpam-6611	1	2	2025	DATE
ejpam-6611	1	3	18	CARDINAL
ejpam-6611	1	4	3	CARDINAL
ejpam-6611	1	5	6611	CARDINAL
ejpam-6611	1	6	1307-5543	DATE
ejpam-6611	1	7	new york	GPE
ejpam-6611	1	8	mohammed abu-saleem	PERSON
ejpam-6611	1	9	al-balqa applied university	ORG
ejpam-6611	1	10	19117	DATE
ejpam-6611	1	11	jordan	PERSON
ejpam-6611	6	1	2020	DATE
ejpam-6611	6	2	05c10, 19d55	CARDINAL
ejpam-6611	6	3	55n10	CARDINAL
ejpam-6611	6	4	54-xx	CARDINAL
ejpam-6611	6	5	1	CARDINAL
ejpam-6611	9	1	1	CARDINAL
ejpam-6611	10	1	only one	CARDINAL
ejpam-6611	11	1	2	CARDINAL
ejpam-6611	11	2	3	CARDINAL
ejpam-6611	13	1	1	CARDINAL
ejpam-6611	13	2	4	DATE
ejpam-6611	13	3	5	CARDINAL
ejpam-6611	14	1	⊆	CARDINAL
ejpam-6611	14	2	⊆	CARDINAL
ejpam-6611	15	1	6	CARDINAL
ejpam-6611	16	1	abusaleem@bau.edu.jo	PERSON
ejpam-6611	16	2	m. abu-saleem	PERSON
ejpam-6611	16	3	1	CARDINAL
ejpam-6611	16	4	2025	CARDINAL
ejpam-6611	17	1	m. abu-saleem	PERSON
ejpam-6611	18	1	j. pure	PERSON
ejpam-6611	18	2	18	CARDINAL
ejpam-6611	18	3	3	CARDINAL
ejpam-6611	18	4	2025	CARDINAL
ejpam-6611	18	5	6611 2	DATE
ejpam-6611	22	1	d(g	ORG
ejpam-6611	22	2	d(g	ORG
ejpam-6611	22	3	1	CARDINAL
ejpam-6611	23	1	two	CARDINAL
ejpam-6611	23	2	more than one	CARDINAL
ejpam-6611	25	1	one	CARDINAL
ejpam-6611	26	1	1	CARDINAL
ejpam-6611	26	2	4	CARDINAL
ejpam-6611	28	1	one	CARDINAL
ejpam-6611	29	1	2	CARDINAL
ejpam-6611	29	2	3	CARDINAL
ejpam-6611	33	1	8	CARDINAL
ejpam-6611	34	1	10	CARDINAL
ejpam-6611	37	1	8	CARDINAL
ejpam-6611	38	1	φ	PERSON
ejpam-6611	38	2	g1	ORG
ejpam-6611	38	3	g1	ORG
ejpam-6611	39	1	3	CARDINAL
ejpam-6611	40	1	g1	ORG
ejpam-6611	42	1	8	CARDINAL
ejpam-6611	43	1	g1	ORG
ejpam-6611	44	1	12	CARDINAL
ejpam-6611	44	2	13	CARDINAL
ejpam-6611	45	1	topological	ORG
ejpam-6611	45	2	14	CARDINAL
ejpam-6611	45	3	15	CARDINAL
ejpam-6611	46	1	manifolds	ORG
ejpam-6611	46	2	12	CARDINAL
ejpam-6611	53	1	2	CARDINAL
ejpam-6611	53	2	1	CARDINAL
ejpam-6611	55	1	g −→ g̃	PERSON
ejpam-6611	55	2	m. abu-saleem	PERSON
ejpam-6611	56	1	j. pure	PERSON
ejpam-6611	56	2	18	CARDINAL
ejpam-6611	56	3	3	CARDINAL
ejpam-6611	56	4	2025	CARDINAL
ejpam-6611	56	5	6611 3 of 7	DATE
ejpam-6611	60	1	one	CARDINAL
ejpam-6611	60	2	𭟋(c	PERSON
ejpam-6611	60	3	𭟋(c	PERSON
ejpam-6611	62	1	g −→ g̃	PERSON
ejpam-6611	62	2	𭟋(g	ORG
ejpam-6611	64	1	1	CARDINAL
ejpam-6611	65	1	gi−1	ORG
ejpam-6611	65	2	1	CARDINAL
ejpam-6611	65	3	2	DATE
ejpam-6611	66	1	lim	PERSON
ejpam-6611	66	2	𭟋m(gm−1	ORG
ejpam-6611	67	1	m→∞	CARDINAL
ejpam-6611	69	1	2	CARDINAL
ejpam-6611	71	1	1	CARDINAL
ejpam-6611	76	1	n ≥ 3	DATE
ejpam-6611	76	2	1	CARDINAL
ejpam-6611	77	1	π1(jn−2	ORG
ejpam-6611	78	1	1	CARDINAL
ejpam-6611	78	2	1	CARDINAL
ejpam-6611	79	1	2	CARDINAL
ejpam-6611	81	1	0	CARDINAL
ejpam-6611	81	2	3	CARDINAL
ejpam-6611	83	1	two	CARDINAL
ejpam-6611	84	1	m. abu-saleem	PERSON
ejpam-6611	85	1	j. pure	PERSON
ejpam-6611	85	2	18	CARDINAL
ejpam-6611	85	3	3	CARDINAL
ejpam-6611	85	4	2025	CARDINAL
ejpam-6611	85	5	6611 4	DATE
ejpam-6611	85	6	7	CARDINAL
ejpam-6611	85	7	2	CARDINAL
ejpam-6611	86	1	𭟋(j∞	ORG
ejpam-6611	87	1	3(a	CARDINAL
ejpam-6611	89	1	1	CARDINAL
ejpam-6611	90	1	𭟋(j∞	ORG
ejpam-6611	90	2	3(b	CARDINAL
ejpam-6611	92	1	0	CARDINAL
ejpam-6611	92	2	3	CARDINAL
ejpam-6611	92	3	m. abu-saleem	PERSON
ejpam-6611	93	1	j. pure	PERSON
ejpam-6611	93	2	18	CARDINAL
ejpam-6611	93	3	3	CARDINAL
ejpam-6611	93	4	2025	CARDINAL
ejpam-6611	93	5	6611 5	DATE
ejpam-6611	93	6	7	CARDINAL
ejpam-6611	93	7	4	CARDINAL
ejpam-6611	94	1	1	CARDINAL
ejpam-6611	94	2	2	DATE
ejpam-6611	95	1	π1(bmi	ORG
ejpam-6611	96	1	1	CARDINAL
ejpam-6611	96	2	2	DATE
ejpam-6611	97	1	lim n→∞	ORG
ejpam-6611	102	1	lim	PERSON
ejpam-6611	103	1	one	CARDINAL
ejpam-6611	103	2	4	CARDINAL
ejpam-6611	103	3	2	CARDINAL
ejpam-6611	103	4	lim n→∞	PERSON
ejpam-6611	104	1	lim n→∞	LAW
ejpam-6611	106	1	lim n→∞	ORG
ejpam-6611	107	1	0	CARDINAL
ejpam-6611	107	2	4	CARDINAL
ejpam-6611	107	3	5	CARDINAL
ejpam-6611	107	4	1	CARDINAL
ejpam-6611	107	5	2	DATE
ejpam-6611	111	1	k=1 gk	PERSON
ejpam-6611	111	2	m−	PERSON
ejpam-6611	111	3	1	CARDINAL
ejpam-6611	111	4	2	DATE
ejpam-6611	113	1	2	CARDINAL
ejpam-6611	117	1	k=1 gk	PERSON
ejpam-6611	119	1	1	CARDINAL
ejpam-6611	119	2	2	DATE
ejpam-6611	120	1	one	CARDINAL
ejpam-6611	120	2	−→ n∗ k=1	FAC
ejpam-6611	121	1	i=1 gk	PERSON
ejpam-6611	122	1	∗	CARDINAL
ejpam-6611	122	2	∗	CARDINAL
ejpam-6611	123	1	∗	CARDINAL
ejpam-6611	127	1	1	CARDINAL
ejpam-6611	129	1	1	CARDINAL
ejpam-6611	134	1	.⋎𭟋2(gr1	PERSON
ejpam-6611	139	1	1	CARDINAL
ejpam-6611	139	2	2	DATE
ejpam-6611	140	1	m. abu-saleem	PERSON
ejpam-6611	141	1	j. pure	PERSON
ejpam-6611	141	2	18	CARDINAL
ejpam-6611	141	3	3	CARDINAL
ejpam-6611	141	4	2025	CARDINAL
ejpam-6611	141	5	6611 6	DATE
ejpam-6611	141	6	2	CARDINAL
ejpam-6611	141	7	−→ n∗ k=1	FAC
ejpam-6611	142	1	2	CARDINAL
ejpam-6611	145	1	k=1 gk	PERSON
ejpam-6611	145	2	∀k	DATE
ejpam-6611	145	3	1	CARDINAL
ejpam-6611	145	4	2	DATE
ejpam-6611	145	5	−→ n∗ k=1	FAC
ejpam-6611	145	6	m− n. consequently	PERSON
ejpam-6611	146	1	m−	PERSON
ejpam-6611	146	2	1	CARDINAL
ejpam-6611	146	3	2	DATE
ejpam-6611	148	1	n. theorem 6	PERSON
ejpam-6611	149	1	1	CARDINAL
ejpam-6611	149	2	2	DATE
ejpam-6611	150	1	ri	GPE
ejpam-6611	154	1	lim	PERSON
ejpam-6611	154	2	only one	CARDINAL
ejpam-6611	154	3	one	CARDINAL
ejpam-6611	154	4	↓	CARDINAL
ejpam-6611	154	5	↓	CARDINAL
ejpam-6611	154	6	↓ lim	PERSON
ejpam-6611	154	7	m→∞	CARDINAL
ejpam-6611	154	8	rm h 𭟋1−−−−−→	ORG
ejpam-6611	154	9	1	CARDINAL
ejpam-6611	154	10	𭟋2−−−−→	ORG
ejpam-6611	155	1	lim	PERSON
ejpam-6611	155	2	one	CARDINAL
ejpam-6611	155	3	one	CARDINAL
ejpam-6611	156	1	1−−−−−→ π1	QUANTITY
ejpam-6611	156	2	1−−−−−−→ π1	QUANTITY
ejpam-6611	157	1	lim	PERSON
ejpam-6611	157	2	↓	CARDINAL
ejpam-6611	157	3	↓	CARDINAL
ejpam-6611	158	1	↓ lim	PERSON
ejpam-6611	158	2	1−−−−−→ π1	MONEY
ejpam-6611	159	1	lim	PERSON
ejpam-6611	159	2	0	CARDINAL
ejpam-6611	160	1	3	CARDINAL
ejpam-6611	164	1	1	CARDINAL
ejpam-6611	164	2	r. balakrishnan	PERSON
ejpam-6611	164	3	k. ranganathan	PERSON
ejpam-6611	166	1	new york	GPE
ejpam-6611	166	2	heidelberg	GPE
ejpam-6611	166	3	dordrecht	GPE
ejpam-6611	166	4	london	GPE
ejpam-6611	166	5	2012	DATE
ejpam-6611	167	1	2	CARDINAL
ejpam-6611	167	2	l. w. beineke	PERSON
ejpam-6611	167	3	r. j. wilson	PERSON
ejpam-6611	167	4	j. l. gross	PERSON
ejpam-6611	167	5	t. w. tucker	PERSON
ejpam-6611	169	1	cambridge university press	ORG
ejpam-6611	169	2	new york	GPE
ejpam-6611	169	3	2009	DATE
ejpam-6611	170	1	3	CARDINAL
ejpam-6611	170	2	j. l. gross	PERSON
ejpam-6611	170	3	t. w. tucker	PERSON
ejpam-6611	172	1	2001	DATE
ejpam-6611	173	1	4	CARDINAL
ejpam-6611	173	2	a. t. white	PERSON
ejpam-6611	173	3	8	CARDINAL
ejpam-6611	174	1	1985	DATE
ejpam-6611	175	1	m. abu-saleem	PERSON
ejpam-6611	176	1	j. pure	PERSON
ejpam-6611	176	2	18	CARDINAL
ejpam-6611	176	3	3	CARDINAL
ejpam-6611	176	4	2025	CARDINAL
ejpam-6611	176	5	6611 7 of 7	DATE
ejpam-6611	176	6	5	CARDINAL
ejpam-6611	176	7	r. j. wilson	PERSON
ejpam-6611	176	8	j. j. watkins	PERSON
ejpam-6611	178	1	first	ORDINAL
ejpam-6611	179	1	john wiley & sons, inc.	ORG
ejpam-6611	179	2	canada	GPE
ejpam-6611	179	3	1990	DATE
ejpam-6611	180	1	6	CARDINAL
ejpam-6611	180	2	p. zhang	PERSON
ejpam-6611	181	1	first	ORDINAL
ejpam-6611	182	1	dover	GPE
ejpam-6611	182	2	new york	GPE
ejpam-6611	182	3	2012	DATE
ejpam-6611	183	1	7	CARDINAL
ejpam-6611	183	2	j. a. bondy	PERSON
ejpam-6611	183	3	u. s. r. murty	PERSON
ejpam-6611	185	1	2008	DATE
ejpam-6611	186	1	8	CARDINAL
ejpam-6611	186	2	a. hatcher	PERSON
ejpam-6611	187	1	algebraic	PERSON
ejpam-6611	188	1	cambridge university press	ORG
ejpam-6611	188	2	cambridge	GPE
ejpam-6611	188	3	2002	DATE
ejpam-6611	189	1	9	CARDINAL
ejpam-6611	189	2	w. s. massey	PERSON
ejpam-6611	190	1	algebraic	PERSON
ejpam-6611	191	1	harcourt	GPE
ejpam-6611	191	2	new york	GPE
ejpam-6611	191	3	1967	DATE
ejpam-6611	192	1	10	CARDINAL
ejpam-6611	192	2	j. brazas	PERSON
ejpam-6611	193	1	topological	ORG
ejpam-6611	194	1	160:70–188	CARDINAL
ejpam-6611	194	2	2013	DATE
ejpam-6611	195	1	11	CARDINAL
ejpam-6611	195	2	p. c. silva	PERSON
ejpam-6611	197	1	comptes rendus mathematique	ORG
ejpam-6611	197	2	340(2):141–146, 2005	DATE
ejpam-6611	198	1	12	CARDINAL
ejpam-6611	198	2	j. nešetřil	PERSON
ejpam-6611	199	1	28	CARDINAL
ejpam-6611	199	2	oxford	NORP
ejpam-6611	200	1	oxford university press	ORG
ejpam-6611	200	2	2004	DATE
ejpam-6611	201	1	13	CARDINAL
ejpam-6611	201	2	s. i. nada	PERSON
ejpam-6611	201	3	e. hamouda	PERSON
ejpam-6611	203	1	42(2):669–675, 2009	DATE
ejpam-6611	204	1	14	CARDINAL
ejpam-6611	204	2	f. dayan	PERSON
ejpam-6611	204	3	m. javaid	PERSON
ejpam-6611	204	4	m. zulqarnain	PERSON
ejpam-6611	204	5	m. t. ali	PERSON
ejpam-6611	204	6	b. ahmad	PERSON
ejpam-6611	206	1	american journal of mathematical	ORG
ejpam-6611	206	2	3(2):38–45	CARDINAL
ejpam-6611	206	3	2018	DATE
ejpam-6611	207	1	15	CARDINAL
ejpam-6611	207	2	r. m. zulqarnain	PERSON
ejpam-6611	207	3	x. l. xin	PERSON
ejpam-6611	208	1	y. b. jun.	PERSON
ejpam-6611	208	2	zorn	ORG
ejpam-6611	209	1	2021	CARDINAL
ejpam-6611	210	1	16	CARDINAL
ejpam-6611	210	2	m. abu-saleem	PERSON
ejpam-6611	212	1	36(1):23	CARDINAL
ejpam-6611	212	2	2025	DATE
ejpam-6611	213	1	17	CARDINAL
ejpam-6611	213	2	m. abu-saleem	PERSON
ejpam-6611	215	1	2018(1):7328065	DATE
ejpam-6611	215	2	2018	DATE
ejpam-6611	216	1	18	CARDINAL
ejpam-6611	216	2	m. abu-saleem	PERSON
ejpam-6611	217	1	journal of intelligent &	ORG
ejpam-6611	217	2	40(3):5207–5213	CARDINAL
ejpam-6611	217	3	2021	DATE
ejpam-6611	218	1	19	CARDINAL
ejpam-6611	218	2	m. abu-saleem	PERSON
ejpam-6611	221	1	applied sciences	ORG
ejpam-6611	221	2	12:14–19	CARDINAL
ejpam-6611	221	3	2010	DATE