id	sid	eid	entity	type
ejpam-2662	1	1	european journal	ORG
ejpam-2662	2	1	10	CARDINAL
ejpam-2662	2	2	3	CARDINAL
ejpam-2662	2	3	2017	DATE
ejpam-2662	2	4	521	CARDINAL
ejpam-2662	2	5	new york	GPE
ejpam-2662	2	6	celil nebiyev1,∗	PERSON
ejpam-2662	2	7	hasan hüseyin	PERSON
ejpam-2662	2	8	1	CARDINAL
ejpam-2662	2	9	ondokuz mayıs university	ORG
ejpam-2662	2	10	2	CARDINAL
ejpam-2662	2	11	technical sciences vocational school	ORG
ejpam-2662	2	12	turkey	GPE
ejpam-2662	7	1	2010	DATE
ejpam-2662	7	2	16d60	CARDINAL
ejpam-2662	7	3	16d80	CARDINAL
ejpam-2662	7	4	1	CARDINAL
ejpam-2662	15	1	k	PERSON
ejpam-2662	15	2	= k	PERSON
ejpam-2662	16	1	5	CARDINAL
ejpam-2662	18	1	5	CARDINAL
ejpam-2662	25	1	h. ökten	PERSON
ejpam-2662	26	1	521	CARDINAL
ejpam-2662	26	2	2017	CARDINAL
ejpam-2662	27	1	c. nebiyev	PERSON
ejpam-2662	27	2	h. ökten	PERSON
ejpam-2662	28	1	j. pure	PERSON
ejpam-2662	28	2	10	CARDINAL
ejpam-2662	28	3	3	CARDINAL
ejpam-2662	28	4	2017	CARDINAL
ejpam-2662	28	5	521	CARDINAL
ejpam-2662	34	1	1	CARDINAL
ejpam-2662	34	2	3	DATE
ejpam-2662	34	3	4	CARDINAL
ejpam-2662	34	4	5	CARDINAL
ejpam-2662	35	1	1	CARDINAL
ejpam-2662	35	2	4	CARDINAL
ejpam-2662	36	1	k, n	ORG
ejpam-2662	38	1	k ≤ n	FAC
ejpam-2662	41	1	k + n �g l + t	FAC
ejpam-2662	42	1	1	CARDINAL
ejpam-2662	43	1	k ≤ n	ORG
ejpam-2662	45	1	2	CARDINAL
ejpam-2662	47	1	2	CARDINAL
ejpam-2662	47	2	1	CARDINAL
ejpam-2662	49	1	3	CARDINAL
ejpam-2662	49	2	1	CARDINAL
ejpam-2662	51	1	at least one	CARDINAL
ejpam-2662	52	1	4	CARDINAL
ejpam-2662	52	2	1	CARDINAL
ejpam-2662	53	1	at least one	CARDINAL
ejpam-2662	54	1	2.	CARDINAL
ejpam-2662	54	2	1	CARDINAL
ejpam-2662	60	1	5	CARDINAL
ejpam-2662	62	1	m1 + u	ORG
ejpam-2662	63	1	c. nebiyev	PERSON
ejpam-2662	63	2	h. ökten	PERSON
ejpam-2662	64	1	j. pure	PERSON
ejpam-2662	64	2	10	CARDINAL
ejpam-2662	64	3	3	CARDINAL
ejpam-2662	64	4	2017	CARDINAL
ejpam-2662	64	5	521	CARDINAL
ejpam-2662	67	1	m1 ∩	PRODUCT
ejpam-2662	67	2	m1 and m1 ∩	WORK_OF_ART
ejpam-2662	70	1	g m. hence x	PERSON
ejpam-2662	72	1	3	CARDINAL
ejpam-2662	73	1	1	CARDINAL
ejpam-2662	73	2	2	DATE
ejpam-2662	75	1	n.	PERSON
ejpam-2662	76	1	1	CARDINAL
ejpam-2662	76	2	2	DATE
ejpam-2662	80	1	5	CARDINAL
ejpam-2662	81	1	6	CARDINAL
ejpam-2662	83	1	m1 and m2	PERSON
ejpam-2662	85	1	5	CARDINAL
ejpam-2662	85	2	4	CARDINAL
ejpam-2662	88	1	6	CARDINAL
ejpam-2662	89	1	7	CARDINAL
ejpam-2662	94	1	1	CARDINAL
ejpam-2662	97	1	8	DATE
ejpam-2662	100	1	lemma 7	ORG
ejpam-2662	100	2	5	CARDINAL
ejpam-2662	102	1	2	CARDINAL
ejpam-2662	106	1	9	CARDINAL
ejpam-2662	108	1	c. nebiyev	PERSON
ejpam-2662	108	2	h. ökten	PERSON
ejpam-2662	109	1	j. pure	PERSON
ejpam-2662	109	2	10	CARDINAL
ejpam-2662	109	3	3	CARDINAL
ejpam-2662	109	4	2017	CARDINAL
ejpam-2662	109	5	521	CARDINAL
ejpam-2662	109	6	528 524	CARDINAL
ejpam-2662	113	1	2	CARDINAL
ejpam-2662	113	2	2.1	CARDINAL
ejpam-2662	114	1	10	CARDINAL
ejpam-2662	125	1	11	CARDINAL
ejpam-2662	127	1	m1 and m2	PERSON
ejpam-2662	129	1	m1 and m2	PRODUCT
ejpam-2662	129	2	m1/radgm1	PRODUCT
ejpam-2662	134	1	x2 + radgm2	ORG
ejpam-2662	135	1	x2 + radgm2	ORG
ejpam-2662	142	1	6	CARDINAL
ejpam-2662	146	1	mi	PERSON
ejpam-2662	146	2	1	CARDINAL
ejpam-2662	146	3	2	DATE
ejpam-2662	151	1	lemma 11	ORG
ejpam-2662	152	1	12	CARDINAL
ejpam-2662	157	1	lemma 2	ORG
ejpam-2662	161	1	c. nebiyev	PERSON
ejpam-2662	161	2	h. ökten	PERSON
ejpam-2662	162	1	j. pure	PERSON
ejpam-2662	162	2	10	CARDINAL
ejpam-2662	162	3	3	CARDINAL
ejpam-2662	162	4	2017	CARDINAL
ejpam-2662	162	5	521	CARDINAL
ejpam-2662	162	6	528 525	CARDINAL
ejpam-2662	162	7	13	CARDINAL
ejpam-2662	172	1	g m. hence v	PERSON
ejpam-2662	177	1	lemma 12	ORG
ejpam-2662	177	2	13	CARDINAL
ejpam-2662	178	1	14	CARDINAL
ejpam-2662	182	1	at least one	CARDINAL
ejpam-2662	182	2	lemma 4	ORG
ejpam-2662	183	1	3	CARDINAL
ejpam-2662	185	1	15	CARDINAL
ejpam-2662	189	1	lemma 14	ORG
ejpam-2662	190	1	8	CARDINAL
ejpam-2662	193	1	lemma 15	ORG
ejpam-2662	200	1	u ∩v	ORG
ejpam-2662	206	1	+k	PERSON
ejpam-2662	208	1	1	CARDINAL
ejpam-2662	209	1	6=	CARDINAL
ejpam-2662	209	2	0	CARDINAL
ejpam-2662	209	3	6	CARDINAL
ejpam-2662	209	4	6	CARDINAL
ejpam-2662	210	1	2	CARDINAL
ejpam-2662	210	2	3.3	CARDINAL
ejpam-2662	212	1	c. nebiyev	PERSON
ejpam-2662	212	2	h. ökten	PERSON
ejpam-2662	213	1	j. pure	PERSON
ejpam-2662	213	2	10	CARDINAL
ejpam-2662	213	3	3	CARDINAL
ejpam-2662	213	4	2017	CARDINAL
ejpam-2662	213	5	521	CARDINAL
ejpam-2662	213	6	3	CARDINAL
ejpam-2662	217	1	16	CARDINAL
ejpam-2662	222	1	17	CARDINAL
ejpam-2662	228	1	lemma 7	ORG
ejpam-2662	229	1	9	CARDINAL
ejpam-2662	232	1	17	CARDINAL
ejpam-2662	233	1	18	CARDINAL
ejpam-2662	235	1	m1 + u	ORG
ejpam-2662	240	1	m1 m1∩(u+x	ORG
ejpam-2662	240	2	m1 ∩	ORG
ejpam-2662	241	1	m1 ∩	PRODUCT
ejpam-2662	241	2	m1 ∩	PRODUCT
ejpam-2662	241	3	m1 and m1 ∩	WORK_OF_ART
ejpam-2662	244	1	g m. hence x	PERSON
ejpam-2662	246	1	10	CARDINAL
ejpam-2662	247	1	1	CARDINAL
ejpam-2662	247	2	2	DATE
ejpam-2662	249	1	n.	PERSON
ejpam-2662	250	1	+ mn	GPE
ejpam-2662	250	2	1	CARDINAL
ejpam-2662	250	3	2	DATE
ejpam-2662	253	1	c. nebiyev	PERSON
ejpam-2662	253	2	h. ökten	PERSON
ejpam-2662	254	1	j. pure	PERSON
ejpam-2662	254	2	10	CARDINAL
ejpam-2662	254	3	3	CARDINAL
ejpam-2662	254	4	2017	CARDINAL
ejpam-2662	254	5	521	CARDINAL
ejpam-2662	255	1	lemma 18	ORG
ejpam-2662	256	1	19	CARDINAL
ejpam-2662	259	1	∑	PERSON
ejpam-2662	262	1	.+min	PERSON
ejpam-2662	263	1	u+mi1 +mi2 +	ORG
ejpam-2662	264	1	.+min	PERSON
ejpam-2662	264	2	mik	PERSON
ejpam-2662	264	3	1	CARDINAL
ejpam-2662	264	4	2	DATE
ejpam-2662	266	1	10	CARDINAL
ejpam-2662	267	1	2	CARDINAL
ejpam-2662	270	1	1	CARDINAL
ejpam-2662	271	1	2	CARDINAL
ejpam-2662	272	1	3	CARDINAL
ejpam-2662	273	1	4	CARDINAL
ejpam-2662	274	1	5	CARDINAL
ejpam-2662	274	2	r(i	PERSON
ejpam-2662	274	3	i.	PERSON
ejpam-2662	274	4	6	CARDINAL
ejpam-2662	276	1	1)⇔	CARDINAL
ejpam-2662	276	2	2	CARDINAL
ejpam-2662	276	3	8	CARDINAL
ejpam-2662	277	1	1)⇒	CARDINAL
ejpam-2662	277	2	3	CARDINAL
ejpam-2662	279	1	〉	CARDINAL
ejpam-2662	283	1	1	CARDINAL
ejpam-2662	283	2	2	DATE
ejpam-2662	285	1	10	CARDINAL
ejpam-2662	285	2	rmi	ORG
ejpam-2662	286	1	6	CARDINAL
ejpam-2662	287	1	3)⇔	CARDINAL
ejpam-2662	287	2	4	CARDINAL
ejpam-2662	287	3	15	CARDINAL
ejpam-2662	288	1	4	CARDINAL
ejpam-2662	288	2	5	CARDINAL
ejpam-2662	290	1	19	CARDINAL
ejpam-2662	290	2	r(i	PERSON
ejpam-2662	290	3	i.	PERSON
ejpam-2662	290	4	5)⇒	CARDINAL
ejpam-2662	290	5	6	CARDINAL
ejpam-2662	290	6	9	CARDINAL
ejpam-2662	291	1	6	CARDINAL
ejpam-2662	291	2	2	CARDINAL
ejpam-2662	292	1	16	CARDINAL
ejpam-2662	293	1	3	CARDINAL
ejpam-2662	295	1	∩	PERSON
ejpam-2662	297	1	1	CARDINAL
ejpam-2662	298	1	528	CARDINAL
ejpam-2662	298	2	1	CARDINAL
ejpam-2662	298	3	b. koşar	PERSON
ejpam-2662	298	4	c. nebiyev	PERSON
ejpam-2662	300	1	ukrainian mathematical journal	ORG
ejpam-2662	300	2	67(6):861–864	CARDINAL
ejpam-2662	300	3	2015	DATE
ejpam-2662	301	1	2	CARDINAL
ejpam-2662	301	2	c. lomp	PERSON
ejpam-2662	303	1	27(4):1921	CARDINAL
ejpam-2662	303	2	1935, 1999	DATE
ejpam-2662	304	1	3	CARDINAL
ejpam-2662	304	2	t. c. quynh	GPE
ejpam-2662	304	3	p. h. tin	ORG
ejpam-2662	306	1	vietnam	GPE
ejpam-2662	306	2	41(3):303–312	DATE
ejpam-2662	306	3	2013	DATE
ejpam-2662	307	1	4	CARDINAL
ejpam-2662	307	2	b. koşar	PERSON
ejpam-2662	307	3	c. nebiyev	PERSON
ejpam-2662	308	1	2010	DATE
ejpam-2662	310	1	matematik sempozyumu	PERSON
ejpam-2662	310	2	üniversitesi	GPE
ejpam-2662	310	3	kayseritürkiye	GPE
ejpam-2662	311	1	5	CARDINAL
ejpam-2662	311	2	d. x. zhou	PERSON
ejpam-2662	311	3	x. r. zhang	PERSON
ejpam-2662	313	1	southeast asian	NORP
ejpam-2662	313	2	35(6):1051–1062, 2011	DATE