id	sid	eid	entity	type
ejpam-4574	1	1	european journal	ORG
ejpam-4574	2	1	15	CARDINAL
ejpam-4574	2	2	4	CARDINAL
ejpam-4574	2	3	2022	DATE
ejpam-4574	2	4	1822-1835	DATE
ejpam-4574	2	5	1307-5543	DATE
ejpam-4574	2	6	new york	GPE
ejpam-4574	2	7	ali etawi1,∗	PERSON
ejpam-4574	2	8	ghanem1	PERSON
ejpam-4574	2	9	hasan al-ezeh1	PERSON
ejpam-4574	2	10	1	CARDINAL
ejpam-4574	2	11	the university of jordan	ORG
ejpam-4574	2	12	amman	GPE
ejpam-4574	2	13	jordan	GPE
ejpam-4574	4	1	gk	PERSON
ejpam-4574	4	2	two	CARDINAL
ejpam-4574	8	1	2	CARDINAL
ejpam-4574	8	2	2k + 1	QUANTITY
ejpam-4574	8	3	χa(p	ORG
ejpam-4574	8	4	k n	PERSON
ejpam-4574	10	1	+ 1	DATE
ejpam-4574	10	2	2k+1 ≤	MONEY
ejpam-4574	10	3	k n	PERSON
ejpam-4574	12	1	n ≥ (k + 1)3	DATE
ejpam-4574	12	2	2020	DATE
ejpam-4574	12	3	05c15	CARDINAL
ejpam-4574	12	4	1	CARDINAL
ejpam-4574	13	1	8	CARDINAL
ejpam-4574	16	1	two	CARDINAL
ejpam-4574	18	1	k−	NORP
ejpam-4574	18	2	1	CARDINAL
ejpam-4574	18	3	2	DATE
ejpam-4574	19	1	two	CARDINAL
ejpam-4574	21	1	χ(g	PRODUCT
ejpam-4574	21	2	k −	ORG
ejpam-4574	22	1	etawi	PERSON
ejpam-4574	22	2	a. etawi	PERSON
ejpam-4574	22	3	m.ghanem@ju.edu.jo	PERSON
ejpam-4574	22	4	m. ghanem	PERSON
ejpam-4574	22	5	1822	DATE
ejpam-4574	23	1	2022	CARDINAL
ejpam-4574	24	1	a. etawi	PERSON
ejpam-4574	24	2	m. ghanem	PERSON
ejpam-4574	24	3	h. al-ezeh	PERSON
ejpam-4574	25	1	j. pure	PERSON
ejpam-4574	25	2	15	CARDINAL
ejpam-4574	25	3	4	CARDINAL
ejpam-4574	25	4	2022	CARDINAL
ejpam-4574	25	5	1822-1835 1823	DATE
ejpam-4574	25	6	k − star	ORG
ejpam-4574	29	1	1	CARDINAL
ejpam-4574	30	1	at least three	CARDINAL
ejpam-4574	31	1	2	CARDINAL
ejpam-4574	32	1	four	CARDINAL
ejpam-4574	32	2	at least three	CARDINAL
ejpam-4574	33	1	the early seventies	DATE
ejpam-4574	33	2	grünbaum	ORG
ejpam-4574	34	1	3	CARDINAL
ejpam-4574	35	1	grünbaum	ORG
ejpam-4574	35	2	3	CARDINAL
ejpam-4574	35	3	4−	ORG
ejpam-4574	36	1	burnstein	PERSON
ejpam-4574	37	1	2	CARDINAL
ejpam-4574	37	2	4	CARDINAL
ejpam-4574	37	3	5	CARDINAL
ejpam-4574	39	1	10	CARDINAL
ejpam-4574	40	1	wang et al	PERSON
ejpam-4574	41	1	9	CARDINAL
ejpam-4574	42	1	hessians	NORP
ejpam-4574	47	1	two	CARDINAL
ejpam-4574	47	2	third	ORDINAL
ejpam-4574	47	3	third	ORDINAL
ejpam-4574	48	1	2	CARDINAL
ejpam-4574	56	1	χa(p	ORG
ejpam-4574	56	2	k n	PERSON
ejpam-4574	56	3	a. etawi	PERSON
ejpam-4574	56	4	m. ghanem	PERSON
ejpam-4574	56	5	h. al-ezeh	PERSON
ejpam-4574	57	1	j. pure	PERSON
ejpam-4574	57	2	15	CARDINAL
ejpam-4574	57	3	4	CARDINAL
ejpam-4574	57	4	2022	CARDINAL
ejpam-4574	57	5	1822-1835	DATE
ejpam-4574	57	6	1824	DATE
ejpam-4574	57	7	χs(p k n	PERSON
ejpam-4574	58	1	k + 1)3	ORG
ejpam-4574	59	1	k for n ≥ (k + 1)3	ORG
ejpam-4574	60	1	k n	PERSON
ejpam-4574	60	2	two	CARDINAL
ejpam-4574	65	1	3k + 1 2k+1 ck n 1 ≤ n	QUANTITY
ejpam-4574	65	2	k + 1)2	ORG
ejpam-4574	65	3	k+2 ≤	FAC
ejpam-4574	65	4	k + 1)3	ORG
ejpam-4574	66	1	2	CARDINAL
ejpam-4574	66	2	1 ≤	CARDINAL
ejpam-4574	67	1	n ≤ k	FAC
ejpam-4574	68	1	k n	PERSON
ejpam-4574	70	1	1	CARDINAL
ejpam-4574	71	1	1	CARDINAL
ejpam-4574	71	2	2 8	DATE
ejpam-4574	72	1	2	CARDINAL
ejpam-4574	72	2	1	CARDINAL
ejpam-4574	73	1	a. etawi	PERSON
ejpam-4574	73	2	m. ghanem	PERSON
ejpam-4574	73	3	h. al-ezeh	PERSON
ejpam-4574	74	1	j. pure	PERSON
ejpam-4574	74	2	15	CARDINAL
ejpam-4574	74	3	4	CARDINAL
ejpam-4574	74	4	2022	CARDINAL
ejpam-4574	74	5	1822-1835 1825	DATE
ejpam-4574	75	1	1	CARDINAL
ejpam-4574	76	1	two	CARDINAL
ejpam-4574	77	1	2	CARDINAL
ejpam-4574	77	2	four	CARDINAL
ejpam-4574	78	1	1	CARDINAL
ejpam-4574	79	1	1	CARDINAL
ejpam-4574	80	1	χ(g	PRODUCT
ejpam-4574	81	1	χa(p	ORG
ejpam-4574	81	2	k n	PERSON
ejpam-4574	82	1	1	CARDINAL
ejpam-4574	82	2	n ≥ k	GPE
ejpam-4574	83	1	χa(p	ORG
ejpam-4574	83	2	k n	PERSON
ejpam-4574	85	1	+ 1	DATE
ejpam-4574	86	1	1	CARDINAL
ejpam-4574	86	2	χa(p	ORG
ejpam-4574	86	3	k n	PERSON
ejpam-4574	88	1	+ 1	DATE
ejpam-4574	88	2	3	CARDINAL
ejpam-4574	88	3	three	CARDINAL
ejpam-4574	88	4	suffix	GPE
ejpam-4574	90	1	1	CARDINAL
ejpam-4574	91	1	n ≥ k	GPE
ejpam-4574	93	1	+ 1	DATE
ejpam-4574	93	2	2	CARDINAL
ejpam-4574	95	1	c(vj	ORG
ejpam-4574	95	2	mod	PERSON
ejpam-4574	95	3	2k+1	CARDINAL
ejpam-4574	96	1	va −	GPE
ejpam-4574	96	2	− vc −	PERSON
ejpam-4574	96	3	2k	CARDINAL
ejpam-4574	96	4	vc) ≤ dpn(va	ORG
ejpam-4574	97	1	χs(p k n	PERSON
ejpam-4574	97	2	2k + 1.clearly	DATE
ejpam-4574	97	3	2	CARDINAL
ejpam-4574	97	4	n = k	ORG
ejpam-4574	99	1	χs(p k n	PERSON
ejpam-4574	100	1	2	CARDINAL
ejpam-4574	100	2	3k+2	CARDINAL
ejpam-4574	101	1	two	CARDINAL
ejpam-4574	101	2	1	CARDINAL
ejpam-4574	103	1	1 ≤	QUANTITY
ejpam-4574	104	1	χs(p k n	PERSON
ejpam-4574	106	1	c(vj	ORG
ejpam-4574	107	1	mod(k+i+1	PERSON
ejpam-4574	108	1	va −	GPE
ejpam-4574	108	2	− vc −	PERSON
ejpam-4574	111	1	1	CARDINAL
ejpam-4574	112	1	vc	PERSON
ejpam-4574	114	1	2	CARDINAL
ejpam-4574	116	1	2i	CARDINAL
ejpam-4574	116	2	1 ≤	QUANTITY
ejpam-4574	118	1	χs(p k n	PERSON
ejpam-4574	120	1	the (k + i)−	ORG
ejpam-4574	120	2	c(vj	ORG
ejpam-4574	120	3	va −	GPE
ejpam-4574	120	4	− vc −	PERSON
ejpam-4574	121	1	vc)+dpn(vb	PERSON
ejpam-4574	121	2	vc	PERSON
ejpam-4574	122	1	a. etawi	PERSON
ejpam-4574	122	2	m. ghanem	PERSON
ejpam-4574	122	3	h. al-ezeh	PERSON
ejpam-4574	123	1	j. pure	PERSON
ejpam-4574	123	2	15	CARDINAL
ejpam-4574	123	3	4	CARDINAL
ejpam-4574	123	4	2022	CARDINAL
ejpam-4574	123	5	1822-1835	DATE
ejpam-4574	123	6	2	CARDINAL
ejpam-4574	123	7	n = k	ORG
ejpam-4574	124	1	0 ≤ i ≤	QUANTITY
ejpam-4574	127	1	1	CARDINAL
ejpam-4574	127	2	2	DATE
ejpam-4574	127	3	1	CARDINAL
ejpam-4574	127	4	2	DATE
ejpam-4574	127	5	k}∪{sxsx+1	NORP
ejpam-4574	127	6	1	CARDINAL
ejpam-4574	127	7	2	DATE
ejpam-4574	128	1	three	CARDINAL
ejpam-4574	128	2	k n	PERSON
ejpam-4574	128	3	ma(p k n	PERSON
ejpam-4574	128	4	suffix	GPE
ejpam-4574	128	5	k n	PERSON
ejpam-4574	128	6	k n	PERSON
ejpam-4574	129	1	ma(p k n	PERSON
ejpam-4574	132	1	two	CARDINAL
ejpam-4574	133	1	∪n	CARDINAL
ejpam-4574	133	2	c(vα	GPE
ejpam-4574	136	1	mx	PRODUCT
ejpam-4574	137	1	1	CARDINAL
ejpam-4574	137	2	2	DATE
ejpam-4574	138	1	dpn(pj	ORG
ejpam-4574	142	1	1	CARDINAL
ejpam-4574	143	1	1	CARDINAL
ejpam-4574	143	2	2	DATE
ejpam-4574	149	1	dpn(pj	ORG
ejpam-4574	149	2	vy	ORG
ejpam-4574	151	1	l ≤	PERSON
ejpam-4574	152	1	1	CARDINAL
ejpam-4574	152	2	2	DATE
ejpam-4574	153	1	2	CARDINAL
ejpam-4574	154	1	2	CARDINAL
ejpam-4574	156	1	k.	PERSON
ejpam-4574	157	1	dpn(pj	ORG
ejpam-4574	157	2	vy	ORG
ejpam-4574	161	1	k + 1−	PERSON
ejpam-4574	162	1	k − j + 2	ORG
ejpam-4574	168	1	pj −	PERSON
ejpam-4574	179	1	1	CARDINAL
ejpam-4574	181	1	1− j.	PRODUCT
ejpam-4574	184	1	0 ≤ w ≤	MONEY
ejpam-4574	185	1	1	CARDINAL
ejpam-4574	185	2	2	DATE
ejpam-4574	185	3	∈	ORG
ejpam-4574	185	4	1	CARDINAL
ejpam-4574	185	5	2	DATE
ejpam-4574	185	6	1	CARDINAL
ejpam-4574	186	1	c(sw2	PERSON
ejpam-4574	186	2	c(pw1	ORG
ejpam-4574	187	1	vy	ORG
ejpam-4574	188	1	∩	PERSON
ejpam-4574	188	2	t + α	DATE
ejpam-4574	189	1	k n	PERSON
ejpam-4574	189	2	vy	ORG
ejpam-4574	190	1	1	CARDINAL
ejpam-4574	191	1	1	CARDINAL
ejpam-4574	192	1	1−a	CARDINAL
ejpam-4574	192	2	vy	ORG
ejpam-4574	195	1	k n	PERSON
ejpam-4574	195	2	vy	ORG
ejpam-4574	196	1	k n	FAC
ejpam-4574	196	2	vy	ORG
ejpam-4574	196	3	k = dpn(vy	ORG
ejpam-4574	201	1	k n	FAC
ejpam-4574	201	2	vy	ORG
ejpam-4574	205	1	− w.	PERSON
ejpam-4574	209	1	1	CARDINAL
ejpam-4574	211	1	+ k	PERSON
ejpam-4574	213	1	k n	PERSON
ejpam-4574	218	1	1 +	CARDINAL
ejpam-4574	218	2	2α ≤	MONEY
ejpam-4574	219	1	2	CARDINAL
ejpam-4574	219	2	1−	CARDINAL
ejpam-4574	219	3	j a. etawi	PERSON
ejpam-4574	219	4	m. ghanem	PERSON
ejpam-4574	219	5	h. al-ezeh	PERSON
ejpam-4574	220	1	j. pure	PERSON
ejpam-4574	220	2	15	CARDINAL
ejpam-4574	220	3	4	CARDINAL
ejpam-4574	220	4	2022	CARDINAL
ejpam-4574	220	5	1822-1835 1827	DATE
ejpam-4574	220	6	1	CARDINAL
ejpam-4574	220	7	k n	PERSON
ejpam-4574	220	8	1	CARDINAL
ejpam-4574	222	1	n = k + 2i+ 1	ORG
ejpam-4574	223	1	2	CARDINAL
ejpam-4574	223	2	2	CARDINAL
ejpam-4574	223	3	2	CARDINAL
ejpam-4574	224	1	{k+2− j	PERSON
ejpam-4574	225	1	p3 p2 p1 1 v1 2 v2 3 v3 4 v4 s1 s2 s3	PRODUCT
ejpam-4574	225	2	p3 p2 p1 1	PRODUCT
ejpam-4574	225	3	p3 p2 p1 1	PRODUCT
ejpam-4574	225	4	p3 p2 p1 1	PRODUCT
ejpam-4574	225	5	suffix	GPE
ejpam-4574	225	6	10	CARDINAL
ejpam-4574	225	7	3	CARDINAL
ejpam-4574	226	1	3	CARDINAL
ejpam-4574	229	1	suffix	GPE
ejpam-4574	229	2	∈	ORG
ejpam-4574	230	1	3 1	CARDINAL
ejpam-4574	230	2	1− j = 3	PRODUCT
ejpam-4574	231	1	3	CARDINAL
ejpam-4574	231	2	s1,s2	GPE
ejpam-4574	231	3	4 2	CARDINAL
ejpam-4574	232	1	∩	PERSON
ejpam-4574	235	1	2	CARDINAL
ejpam-4574	235	2	1	CARDINAL
ejpam-4574	235	3	3 3 3	CARDINAL
ejpam-4574	235	4	s1,s2	GPE
ejpam-4574	235	5	4	CARDINAL
ejpam-4574	236	1	∩	PERSON
ejpam-4574	239	1	2	CARDINAL
ejpam-4574	239	2	1	CARDINAL
ejpam-4574	239	3	3 3 3	CARDINAL
ejpam-4574	239	4	s1,s2	GPE
ejpam-4574	239	5	3	CARDINAL
ejpam-4574	239	6	1	CARDINAL
ejpam-4574	239	7	2	CARDINAL
ejpam-4574	239	8	3 10	CARDINAL
ejpam-4574	239	9	3	CARDINAL
ejpam-4574	239	10	n = k	ORG
ejpam-4574	240	1	1 ≤	QUANTITY
ejpam-4574	244	1	p k n	ORG
ejpam-4574	246	1	1)+ 1	DATE
ejpam-4574	246	2	2	CARDINAL
ejpam-4574	247	1	i.	PERSON
ejpam-4574	247	2	12	CARDINAL
ejpam-4574	247	3	2	CARDINAL
ejpam-4574	247	4	2k + 1	QUANTITY
ejpam-4574	248	1	χs(p k n	LOC
ejpam-4574	248	2	2	CARDINAL
ejpam-4574	248	3	n ∈	ORG
ejpam-4574	248	4	k + 2i	ORG
ejpam-4574	250	1	0 ≤	MONEY
ejpam-4574	252	1	2k + 1 ≤	QUANTITY
ejpam-4574	252	2	χs(p k n	PERSON
ejpam-4574	252	3	2	CARDINAL
ejpam-4574	252	4	n ≥ k	GPE
ejpam-4574	253	1	2	CARDINAL
ejpam-4574	253	2	2k + 1	QUANTITY
ejpam-4574	254	1	3	CARDINAL
ejpam-4574	254	2	2 10	DATE
ejpam-4574	255	1	2(2	CARDINAL
ejpam-4574	256	1	+ 1	CARDINAL
ejpam-4574	256	2	min{6	CARDINAL
ejpam-4574	256	3	5	CARDINAL
ejpam-4574	256	4	5	CARDINAL
ejpam-4574	256	5	4	CARDINAL
ejpam-4574	256	6	3 8	DATE
ejpam-4574	257	1	min{⌊8+3+1 2	DATE
ejpam-4574	257	2	2(3	CARDINAL
ejpam-4574	257	3	+ 1	CARDINAL
ejpam-4574	257	4	min{6	CARDINAL
ejpam-4574	257	5	7	CARDINAL
ejpam-4574	257	6	6 a. etawi	DATE
ejpam-4574	257	7	m. ghanem	PERSON
ejpam-4574	257	8	h. al-ezeh	PERSON
ejpam-4574	258	1	j. pure	PERSON
ejpam-4574	258	2	15	CARDINAL
ejpam-4574	258	3	4	CARDINAL
ejpam-4574	258	4	2022	CARDINAL
ejpam-4574	258	5	1822-1835	DATE
ejpam-4574	258	6	1	CARDINAL
ejpam-4574	258	7	5	CARDINAL
ejpam-4574	258	8	2	CARDINAL
ejpam-4574	258	9	4	CARDINAL
ejpam-4574	258	10	3	CARDINAL
ejpam-4574	258	11	2	CARDINAL
ejpam-4574	258	12	5	CARDINAL
ejpam-4574	258	13	2	CARDINAL
ejpam-4574	258	14	4	CARDINAL
ejpam-4574	258	15	3 8 4	DATE
ejpam-4574	260	1	e(ck	NORP
ejpam-4574	260	2	1 ≤	CARDINAL
ejpam-4574	260	3	n− |i− j| ≤	ORG
ejpam-4574	262	1	n ≤ 2k + 1	ORG
ejpam-4574	263	1	2k	CARDINAL
ejpam-4574	263	2	+ 1	DATE
ejpam-4574	263	3	3	CARDINAL
ejpam-4574	263	4	2k	CARDINAL
ejpam-4574	266	1	c(vj	ORG
ejpam-4574	267	1	mod	PERSON
ejpam-4574	267	2	0	CARDINAL
ejpam-4574	267	3	1	DATE
ejpam-4574	267	4	1	CARDINAL
ejpam-4574	268	1	2	CARDINAL
ejpam-4574	268	2	0 ≤	MONEY
ejpam-4574	268	3	r ≤ k.	PERSON
ejpam-4574	269	1	two	CARDINAL
ejpam-4574	269	2	1	CARDINAL
ejpam-4574	270	1	0	CARDINAL
ejpam-4574	271	1	vr−1	PERSON
ejpam-4574	272	1	2	CARDINAL
ejpam-4574	273	1	0	CARDINAL
ejpam-4574	274	1	1 ≤	QUANTITY
ejpam-4574	276	1	c k n	PERSON
ejpam-4574	276	2	ci	PERSON
ejpam-4574	276	3	two	CARDINAL
ejpam-4574	276	4	ci	PERSON
ejpam-4574	278	1	4	CARDINAL
ejpam-4574	278	2	{c1	PERSON
ejpam-4574	278	3	1	CARDINAL
ejpam-4574	278	4	2	DATE
ejpam-4574	281	1	l ≥ 4	DATE
ejpam-4574	282	1	2	CARDINAL
ejpam-4574	283	1	3	CARDINAL
ejpam-4574	283	2	2	CARDINAL
ejpam-4574	283	3	2	CARDINAL
ejpam-4574	283	4	a. etawi	PERSON
ejpam-4574	283	5	m. ghanem	PERSON
ejpam-4574	283	6	h. al-ezeh	PERSON
ejpam-4574	284	1	j. pure	PERSON
ejpam-4574	284	2	15	CARDINAL
ejpam-4574	284	3	4	CARDINAL
ejpam-4574	284	4	2022	CARDINAL
ejpam-4574	284	5	1822-1835	DATE
ejpam-4574	284	6	1829	DATE
ejpam-4574	285	1	1	CARDINAL
ejpam-4574	285	2	2	DATE
ejpam-4574	285	3	1	CARDINAL
ejpam-4574	285	4	2	DATE
ejpam-4574	285	5	2	CARDINAL
ejpam-4574	287	1	1	CARDINAL
ejpam-4574	287	2	2	DATE
ejpam-4574	287	3	1	CARDINAL
ejpam-4574	290	1	2	CARDINAL
ejpam-4574	290	2	2	CARDINAL
ejpam-4574	290	3	2	CARDINAL
ejpam-4574	292	1	⊆	CARDINAL
ejpam-4574	293	1	dcn(vyi	GPE
ejpam-4574	293	2	1	CARDINAL
ejpam-4574	293	3	2	DATE
ejpam-4574	293	4	1	CARDINAL
ejpam-4574	293	5	2	CARDINAL
ejpam-4574	293	6	2	CARDINAL
ejpam-4574	294	1	4	CARDINAL
ejpam-4574	294	2	⊆	CARDINAL
ejpam-4574	296	1	j.	PERSON
ejpam-4574	296	2	3	CARDINAL
ejpam-4574	298	1	5	CARDINAL
ejpam-4574	299	1	1	CARDINAL
ejpam-4574	299	2	1	CARDINAL
ejpam-4574	300	1	1	CARDINAL
ejpam-4574	300	2	0 ≤	QUANTITY
ejpam-4574	300	3	r ≤ k.	PERSON
ejpam-4574	302	1	6	CARDINAL
ejpam-4574	303	1	6	CARDINAL
ejpam-4574	303	2	two	CARDINAL
ejpam-4574	305	1	7	CARDINAL
ejpam-4574	306	1	5	CARDINAL
ejpam-4574	308	1	1	CARDINAL
ejpam-4574	308	2	0 ≤	QUANTITY
ejpam-4574	308	3	r ≤ k.	PERSON
ejpam-4574	308	4	1	CARDINAL
ejpam-4574	308	5	0	CARDINAL
ejpam-4574	309	1	2	CARDINAL
ejpam-4574	310	1	w = k	PERSON
ejpam-4574	312	1	{ ci mod α	PERSON
ejpam-4574	312	2	0	CARDINAL
ejpam-4574	312	3	1	DATE
ejpam-4574	312	4	2	DATE
ejpam-4574	313	1	1	CARDINAL
ejpam-4574	314	1	∈	ORG
ejpam-4574	314	2	1	CARDINAL
ejpam-4574	316	1	1	CARDINAL
ejpam-4574	316	2	0	CARDINAL
ejpam-4574	317	1	+ 1	DATE
ejpam-4574	317	2	6	CARDINAL
ejpam-4574	318	1	2	CARDINAL
ejpam-4574	322	1	two	CARDINAL
ejpam-4574	322	2	1	CARDINAL
ejpam-4574	328	1	6	CARDINAL
ejpam-4574	328	2	2	CARDINAL
ejpam-4574	332	1	0 ≤	MONEY
ejpam-4574	333	1	k + 1 ≤ w ≤ α	FAC
ejpam-4574	334	1	n−	ORG
ejpam-4574	334	2	1)(k + 1	DATE
ejpam-4574	334	3	1	CARDINAL
ejpam-4574	337	1	1	CARDINAL
ejpam-4574	338	1	1	CARDINAL
ejpam-4574	340	1	χ(ck	ORG
ejpam-4574	341	1	a. etawi	PERSON
ejpam-4574	341	2	m. ghanem	PERSON
ejpam-4574	341	3	h. al-ezeh	PERSON
ejpam-4574	342	1	j. pure	PERSON
ejpam-4574	342	2	15	CARDINAL
ejpam-4574	342	3	4	CARDINAL
ejpam-4574	342	4	2022	CARDINAL
ejpam-4574	342	5	1822-1835	DATE
ejpam-4574	343	1	5	CARDINAL
ejpam-4574	343	2	5	CARDINAL
ejpam-4574	345	1	5	CARDINAL
ejpam-4574	350	1	5	CARDINAL
ejpam-4574	351	1	1	CARDINAL
ejpam-4574	352	1	0 ≤	MONEY
ejpam-4574	352	2	r ≤ k.	PERSON
ejpam-4574	352	3	7	CARDINAL
ejpam-4574	352	4	1	CARDINAL
ejpam-4574	353	1	+ 1	DATE
ejpam-4574	354	1	{ ci mod	PERSON
ejpam-4574	354	2	0	CARDINAL
ejpam-4574	354	3	1	DATE
ejpam-4574	355	1	r(k	ORG
ejpam-4574	355	2	∈	ORG
ejpam-4574	355	3	r(k + 2	ORG
ejpam-4574	355	4	1	CARDINAL
ejpam-4574	355	5	n ≥	DATE
ejpam-4574	356	1	8	CARDINAL
ejpam-4574	358	1	0	CARDINAL
ejpam-4574	358	2	1	DATE
ejpam-4574	359	1	1	CARDINAL
ejpam-4574	359	2	2	CARDINAL
ejpam-4574	359	3	0 ≤	QUANTITY
ejpam-4574	362	1	1	CARDINAL
ejpam-4574	362	2	3	CARDINAL
ejpam-4574	363	1	1	CARDINAL
ejpam-4574	364	1	dcn(vh(k+2	PERSON
ejpam-4574	364	2	v(h+1)(k+2	ORG
ejpam-4574	365	1	0 ≤	MONEY
ejpam-4574	365	2	2	CARDINAL
ejpam-4574	365	3	1	CARDINAL
ejpam-4574	365	4	2k	CARDINAL
ejpam-4574	366	1	3	CARDINAL
ejpam-4574	368	1	1 ≤	QUANTITY
ejpam-4574	370	1	1	CARDINAL
ejpam-4574	370	2	dcn(v(i−1)(k+1)+i	GPE
ejpam-4574	371	1	2(k + 1	DATE
ejpam-4574	372	1	two	CARDINAL
ejpam-4574	373	1	one	CARDINAL
ejpam-4574	373	2	ck−1	ORG
ejpam-4574	373	3	two	CARDINAL
ejpam-4574	376	1	tk−1	ORG
ejpam-4574	379	1	2k + 5	DATE
ejpam-4574	379	2	3k	CARDINAL
ejpam-4574	380	1	3k	CARDINAL
ejpam-4574	387	1	c1 c2 c3	PERSON
ejpam-4574	388	1	c2 c3 c4	PERSON
ejpam-4574	389	1	ck−2 ck−1	ORG
ejpam-4574	390	1	ck−1	ORG
ejpam-4574	394	1	ck−2	ORG
ejpam-4574	395	1	ck−1	ORG
ejpam-4574	395	2	⌞ 2(k	LAW
ejpam-4574	397	1	a. etawi	PERSON
ejpam-4574	397	2	m. ghanem	PERSON
ejpam-4574	397	3	h. al-ezeh	PERSON
ejpam-4574	398	1	j. pure	PERSON
ejpam-4574	398	2	15	CARDINAL
ejpam-4574	398	3	4	CARDINAL
ejpam-4574	398	4	2022	CARDINAL
ejpam-4574	398	5	1822-1835	DATE
ejpam-4574	398	6	3	CARDINAL
ejpam-4574	398	7	j.	PERSON
ejpam-4574	399	1	̸ |tk| ≥ k	PERSON
ejpam-4574	400	1	tk	PERSON
ejpam-4574	402	1	1	CARDINAL
ejpam-4574	402	2	2	CARDINAL
ejpam-4574	402	3	4	CARDINAL
ejpam-4574	403	1	9	CARDINAL
ejpam-4574	404	1	k + 1)2 + k	ORG
ejpam-4574	404	2	j ∈	PERSON
ejpam-4574	404	3	0	CARDINAL
ejpam-4574	404	4	1	DATE
ejpam-4574	405	1	1	CARDINAL
ejpam-4574	406	1	+ 3	DATE
ejpam-4574	407	1	1	CARDINAL
ejpam-4574	407	2	2	CARDINAL
ejpam-4574	407	3	0 ≤	MONEY
ejpam-4574	410	1	3	CARDINAL
ejpam-4574	411	1	1	CARDINAL
ejpam-4574	411	2	dcn(vh(k+3	NORP
ejpam-4574	411	3	v(h+1)(k+3	PERSON
ejpam-4574	414	1	+ 3	DATE
ejpam-4574	414	2	0 ≤	MONEY
ejpam-4574	415	1	1	CARDINAL
ejpam-4574	418	1	1	CARDINAL
ejpam-4574	418	2	2	CARDINAL
ejpam-4574	418	3	k ≤ 2	ORG
ejpam-4574	418	4	2k	CARDINAL
ejpam-4574	419	1	2	CARDINAL
ejpam-4574	423	1	dcn(v(i−1)(k+2)+i	PERSON
ejpam-4574	424	1	2(k + 2	DATE
ejpam-4574	425	1	one	CARDINAL
ejpam-4574	425	2	two	CARDINAL
ejpam-4574	429	1	3k	CARDINAL
ejpam-4574	433	1	2	CARDINAL
ejpam-4574	435	1	1	CARDINAL
ejpam-4574	437	1	k k	PERSON
ejpam-4574	441	1	c1 c2 c3	PERSON
ejpam-4574	442	1	c2 c3	PERSON
ejpam-4574	443	1	ck−2 ck−1	ORG
ejpam-4574	444	1	ck−1	ORG
ejpam-4574	444	2	ck+2 c1	PERSON
ejpam-4574	446	1	c1 ck+2 c3	PERSON
ejpam-4574	447	1	c2 ck+2	PERSON
ejpam-4574	448	1	ck−2	ORG
ejpam-4574	449	1	ck−1	ORG
ejpam-4574	449	2	⌞ 2(k + 2	LAW
ejpam-4574	450	1	3	CARDINAL
ejpam-4574	450	2	j. clearly k+1	PERSON
ejpam-4574	451	1	= k	PERSON
ejpam-4574	454	1	10	CARDINAL
ejpam-4574	459	1	j ∈	PERSON
ejpam-4574	459	2	0	CARDINAL
ejpam-4574	459	3	1	DATE
ejpam-4574	460	1	+ 3	DATE
ejpam-4574	460	2	j ∈	PERSON
ejpam-4574	460	3	1	CARDINAL
ejpam-4574	460	4	2	DATE
ejpam-4574	460	5	k −	PERSON
ejpam-4574	461	1	a. etawi	PERSON
ejpam-4574	461	2	m. ghanem	PERSON
ejpam-4574	461	3	h. al-ezeh	PERSON
ejpam-4574	462	1	j. pure	PERSON
ejpam-4574	462	2	15	CARDINAL
ejpam-4574	462	3	4	CARDINAL
ejpam-4574	462	4	2022	CARDINAL
ejpam-4574	462	5	1822-1835	DATE
ejpam-4574	462	6	1	CARDINAL
ejpam-4574	462	7	2	CARDINAL
ejpam-4574	462	8	0	CARDINAL
ejpam-4574	463	1	3	CARDINAL
ejpam-4574	463	2	0	CARDINAL
ejpam-4574	463	3	2(k+3	DATE
ejpam-4574	463	4	2(k+	CARDINAL
ejpam-4574	463	5	2	CARDINAL
ejpam-4574	464	1	r(k	ORG
ejpam-4574	466	1	1	CARDINAL
ejpam-4574	466	2	dcn(vh(k+3	LANGUAGE
ejpam-4574	466	3	v(h+1)(k+3	PERSON
ejpam-4574	467	1	0 ≤	MONEY
ejpam-4574	467	2	1	CARDINAL
ejpam-4574	467	3	dcn(vr(k+3	PERSON
ejpam-4574	468	1	dcn(vr(k+3)+h(k+2	GPE
ejpam-4574	471	1	1 ≤	MONEY
ejpam-4574	472	1	1	CARDINAL
ejpam-4574	472	2	dcn(vn−((k−r)(k+2)−q	NORP
ejpam-4574	473	1	2	CARDINAL
ejpam-4574	473	2	0	CARDINAL
ejpam-4574	473	3	1	CARDINAL
ejpam-4574	475	1	0	CARDINAL
ejpam-4574	477	1	2k + 2	DATE
ejpam-4574	477	2	2	CARDINAL
ejpam-4574	478	1	r.	NORP
ejpam-4574	478	2	dcn(v(i−1)(k+2)+i	GPE
ejpam-4574	480	1	2(k + 2	DATE
ejpam-4574	482	1	3	CARDINAL
ejpam-4574	483	1	r.	NORP
ejpam-4574	484	1	vr(k+2)+(k+1)+i	GPE
ejpam-4574	485	1	2k + 3	DATE
ejpam-4574	485	2	4	CARDINAL
ejpam-4574	489	1	2(k + 2	DATE
ejpam-4574	490	1	5	CARDINAL
ejpam-4574	492	1	dcn(vr(k+3)+(k−r−1)(k+2	PERSON
ejpam-4574	492	2	2k + 3	DATE
ejpam-4574	494	1	dcn(vr(k+3)+(k−r−1)(k+2	DATE
ejpam-4574	496	1	2(k + 2	DATE
ejpam-4574	499	1	first	ORDINAL
ejpam-4574	503	1	2	CARDINAL
ejpam-4574	505	1	3	CARDINAL
ejpam-4574	506	1	1	CARDINAL
ejpam-4574	512	1	+ 1	DATE
ejpam-4574	518	1	c0 c1	PERSON
ejpam-4574	520	1	c1 c2 c3	PERSON
ejpam-4574	521	1	c2 c3 ...	PERSON
ejpam-4574	526	1	ck+2 c1	PERSON
ejpam-4574	528	1	c1 ck+2 c3	PERSON
ejpam-4574	529	1	c2 ck+2 ...	PERSON
ejpam-4574	532	1	⌞ 2(k + 2	LAW
ejpam-4574	534	1	r(k + 2	LAW
ejpam-4574	537	1	+ 1	DATE
ejpam-4574	538	1	11	CARDINAL
ejpam-4574	544	1	j ∈	PERSON
ejpam-4574	544	2	0	CARDINAL
ejpam-4574	544	3	1	DATE
ejpam-4574	545	1	a. etawi	PERSON
ejpam-4574	545	2	m. ghanem	PERSON
ejpam-4574	545	3	h. al-ezeh	PERSON
ejpam-4574	546	1	j. pure	PERSON
ejpam-4574	546	2	15	CARDINAL
ejpam-4574	546	3	4	CARDINAL
ejpam-4574	546	4	2022	CARDINAL
ejpam-4574	546	5	1822-1835 1833	DATE
ejpam-4574	546	6	1	CARDINAL
ejpam-4574	546	7	2	CARDINAL
ejpam-4574	546	8	0	CARDINAL
ejpam-4574	547	1	1	CARDINAL
ejpam-4574	548	1	3	CARDINAL
ejpam-4574	549	1	1	CARDINAL
ejpam-4574	550	1	0 ≤	MONEY
ejpam-4574	550	2	dcn(vr(k+2)−1	ORG
ejpam-4574	550	3	2	CARDINAL
ejpam-4574	550	4	0 ≤	MONEY
ejpam-4574	552	1	1	CARDINAL
ejpam-4574	555	1	2(k + 1	DATE
ejpam-4574	557	1	1	CARDINAL
ejpam-4574	557	2	two	CARDINAL
ejpam-4574	557	3	1	CARDINAL
ejpam-4574	559	1	+ 1	DATE
ejpam-4574	562	1	2(k + 1	DATE
ejpam-4574	563	1	2	CARDINAL
ejpam-4574	565	1	+ 1	DATE
ejpam-4574	566	1	vk−1	ORG
ejpam-4574	567	1	2(k + 1	DATE
ejpam-4574	568	1	0	CARDINAL
ejpam-4574	569	1	3	CARDINAL
ejpam-4574	572	1	1	CARDINAL
ejpam-4574	572	2	4	CARDINAL
ejpam-4574	573	1	4	CARDINAL
ejpam-4574	579	1	2	CARDINAL
ejpam-4574	583	1	3	CARDINAL
ejpam-4574	586	1	4	CARDINAL
ejpam-4574	586	2	n ≥	DATE
ejpam-4574	589	1	k + 1)2	ORG
ejpam-4574	590	1	6	CARDINAL
ejpam-4574	590	2	2	CARDINAL
ejpam-4574	590	3	k + 1)2	ORG
ejpam-4574	590	4	c′2(c k n	PERSON
ejpam-4574	590	5	4	CARDINAL
ejpam-4574	592	1	two	CARDINAL
ejpam-4574	593	1	1	CARDINAL
ejpam-4574	593	2	2	CARDINAL
ejpam-4574	593	3	1 v7 3	CARDINAL
ejpam-4574	593	4	v9 v1 v2 v3 v5 v8 v9 v2 v5 v6	FAC
ejpam-4574	593	5	1834 5	DATE
ejpam-4574	593	6	k n	PERSON
ejpam-4574	593	7	two	CARDINAL
ejpam-4574	594	1	12	CARDINAL
ejpam-4574	595	1	4	CARDINAL
ejpam-4574	595	2	χ(g	LAW
ejpam-4574	595	3	5	CARDINAL
ejpam-4574	596	1	n ≥	DATE
ejpam-4574	596	2	2k + 1 ≤	QUANTITY
ejpam-4574	596	3	k n	PERSON
ejpam-4574	598	1	5	CARDINAL
ejpam-4574	598	2	12	CARDINAL
ejpam-4574	599	1	2k+1+	MONEY
ejpam-4574	599	2	2k+2	CARDINAL
ejpam-4574	599	3	k n	PERSON
ejpam-4574	600	1	k n	PERSON
ejpam-4574	601	1	1	CARDINAL
ejpam-4574	602	1	2k + 1	DATE
ejpam-4574	602	2	2k + 1 ≤	MONEY
ejpam-4574	602	3	k n	PERSON
ejpam-4574	607	1	7	CARDINAL
ejpam-4574	607	2	2	CARDINAL
ejpam-4574	608	1	only 5	CARDINAL
ejpam-4574	608	2	10	CARDINAL
ejpam-4574	608	3	k n	PERSON
ejpam-4574	608	4	2k	CARDINAL
ejpam-4574	609	1	+ 1	DATE
ejpam-4574	609	2	two	CARDINAL
ejpam-4574	610	1	1	CARDINAL
ejpam-4574	610	2	5	CARDINAL
ejpam-4574	610	3	4	CARDINAL
ejpam-4574	610	4	3	CARDINAL
ejpam-4574	610	5	v10t1,t2	ORG
ejpam-4574	611	1	v9 v1 v3	FAC
ejpam-4574	611	2	v9 v2 v4	FAC
ejpam-4574	611	3	v9 v3 v5 v9 v10	FAC
ejpam-4574	611	4	1	CARDINAL
ejpam-4574	611	5	h. l. bodlaender	PERSON
ejpam-4574	611	6	m. r. fellows	PERSON
ejpam-4574	611	7	m. t. hallett	PERSON
ejpam-4574	611	8	h. t. wareham	PERSON
ejpam-4574	611	9	t. j. warnow	PERSON
ejpam-4574	613	1	244:167–188, 2000	DATE
ejpam-4574	614	1	2	CARDINAL
ejpam-4574	615	1	4	CARDINAL
ejpam-4574	615	2	5	CARDINAL
ejpam-4574	616	1	soobshch	PERSON
ejpam-4574	618	1	gruzin ssr	PERSON
ejpam-4574	618	2	93:21–24, 1979	DATE
ejpam-4574	619	1	3	CARDINAL
ejpam-4574	621	1	19:390–412, 1973	DATE
ejpam-4574	622	1	4	CARDINAL
ejpam-4574	622	2	f. guillaume	PERSON
ejpam-4574	622	3	a. raspaud	PERSON
ejpam-4574	622	4	b. reed	PERSON
ejpam-4574	624	1	wiley	ORG
ejpam-4574	624	2	47(3):163–182, 2004	DATE
ejpam-4574	625	1	5	CARDINAL
ejpam-4574	625	2	m. f. jimenez	PERSON
ejpam-4574	625	3	m.v.	GPE
ejpam-4574	627	1	18a 70	DATE
ejpam-4574	627	2	facultad de ciencias de la	ORG
ejpam-4574	627	3	de los andes	ORG
ejpam-4574	627	4	bogota	GPE
ejpam-4574	627	5	colombia	GPE
ejpam-4574	627	6	2005	DATE
ejpam-4574	628	1	1835	DATE
ejpam-4574	628	2	6	CARDINAL
ejpam-4574	628	3	j. b. orlin	PERSON
ejpam-4574	628	4	m. a. bonuccelli	PERSON
ejpam-4574	628	5	d. p. bovet	PERSON
ejpam-4574	630	1	j. alg	PERSON
ejpam-4574	632	1	2(2):88–93, 1981	DATE
ejpam-4574	633	1	7	CARDINAL
ejpam-4574	633	2	a. prowse	PERSON
ejpam-4574	633	3	d. r. woodall	PERSON
ejpam-4574	635	1	combinatorics	ORG
ejpam-4574	635	2	19:137–144, 2003	DATE
ejpam-4574	636	1	8	CARDINAL
ejpam-4574	636	2	n. vedavathi	PERSON
ejpam-4574	636	3	d. gurram	PERSON
ejpam-4574	638	1	2(1):1–4	CARDINAL
ejpam-4574	638	2	2013	DATE
ejpam-4574	639	1	9	CARDINAL
ejpam-4574	639	2	j. wang	PERSON
ejpam-4574	639	3	l. y. miao	PERSON
ejpam-4574	639	4	j. b. li	PERSON
ejpam-4574	639	5	y. l. liu	PERSON
ejpam-4574	641	1	acta mathematica	PERSON
ejpam-4574	641	2	english	LANGUAGE
ejpam-4574	641	3	38:560–570	CARDINAL
ejpam-4574	641	4	2022	CARDINAL
ejpam-4574	642	1	10	CARDINAL
ejpam-4574	642	2	d. r.	NORP
ejpam-4574	644	1	7:37–50, 2005	DATE