id	sid	eid	entity	type
ejpam-5546	1	1	european journal	ORG
ejpam-5546	1	2	2025	DATE
ejpam-5546	1	3	18	CARDINAL
ejpam-5546	1	4	1	CARDINAL
ejpam-5546	1	5	5546	CARDINAL
ejpam-5546	1	6	1307-5543	DATE
ejpam-5546	1	7	new york	GPE
ejpam-5546	1	8	⊠q hasan alnajjar department	PERSON
ejpam-5546	1	9	the university of jordan	ORG
ejpam-5546	1	10	11942	DATE
ejpam-5546	1	11	jordan	PERSON
ejpam-5546	2	1	zero	CARDINAL
ejpam-5546	2	2	∈	ORG
ejpam-5546	3	1	⊠q	PERSON
ejpam-5546	4	1	1 or	CARDINAL
ejpam-5546	6	1	2	CARDINAL
ejpam-5546	7	1	⊠q	ORG
ejpam-5546	8	1	∈	ORG
ejpam-5546	8	2	xr+2,r ∈ ⊠q	PERSON
ejpam-5546	8	3	xr+2,r	GPE
ejpam-5546	8	4	xr+3,r	ORG
ejpam-5546	8	5	leonard	PERSON
ejpam-5546	9	1	xr	ORG
ejpam-5546	9	2	r+1	ORG
ejpam-5546	9	3	xr+1,r+2.	ORG
ejpam-5546	10	1	leonard	PERSON
ejpam-5546	10	2	terwilliger	CARDINAL
ejpam-5546	11	1	6	CARDINAL
ejpam-5546	12	1	leonard pairs	ORG
ejpam-5546	13	1	1	CARDINAL
ejpam-5546	13	2	3	CARDINAL
ejpam-5546	13	3	leonard pairs	ORG
ejpam-5546	13	4	sl2	NORP
ejpam-5546	14	1	⊠q	PERSON
ejpam-5546	14	2	leonard pairs	ORG
ejpam-5546	15	1	⊠q	PERSON
ejpam-5546	15	2	t. ito	PERSON
ejpam-5546	16	1	5	CARDINAL
ejpam-5546	17	1	⊠q	ORG
ejpam-5546	17	2	eight	CARDINAL
ejpam-5546	18	1	1 or	CARDINAL
ejpam-5546	20	1	2	CARDINAL
ejpam-5546	21	1	⊠q	PERSON
ejpam-5546	21	2	⊠q	ORG
ejpam-5546	22	1	x02	PERSON
ejpam-5546	22	2	x12	DATE
ejpam-5546	22	3	x23	DATE
ejpam-5546	22	4	one	CARDINAL
ejpam-5546	23	1	zero	CARDINAL
ejpam-5546	23	2	∈	ORG
ejpam-5546	24	1	1)×	CARDINAL
ejpam-5546	24	2	1	CARDINAL
ejpam-5546	26	1	section 2	LAW
ejpam-5546	26	2	leonard	PERSON
ejpam-5546	26	3	leonard pairs	ORG
ejpam-5546	27	1	section 3 we doi	LAW
ejpam-5546	27	2	https://doi.org/10.29020/nybg.ejpam.v18i1.5546	PERSON
ejpam-5546	27	3	h.najjar@ju.edu.jo	PERSON
ejpam-5546	27	4	h. alnajjar	PERSON
ejpam-5546	28	1	1	CARDINAL
ejpam-5546	28	2	2025	CARDINAL
ejpam-5546	29	1	h. alnajjar	PERSON
ejpam-5546	30	1	j. pure	PERSON
ejpam-5546	30	2	18	CARDINAL
ejpam-5546	30	3	1	CARDINAL
ejpam-5546	30	4	2025	CARDINAL
ejpam-5546	30	5	5546 2	CARDINAL
ejpam-5546	30	6	14	CARDINAL
ejpam-5546	30	7	⊠q	PERSON
ejpam-5546	30	8	5	CARDINAL
ejpam-5546	30	9	⊠q	ORG
ejpam-5546	31	1	4	CARDINAL
ejpam-5546	31	2	5	DATE
ejpam-5546	31	3	6	CARDINAL
ejpam-5546	31	4	⊠q	ORG
ejpam-5546	31	5	∈	ORG
ejpam-5546	31	6	xr+2,r ∈ ⊠q	PERSON
ejpam-5546	31	7	xr+2,r	GPE
ejpam-5546	31	8	xr+3,r	ORG
ejpam-5546	31	9	leonard	PERSON
ejpam-5546	32	1	xr	ORG
ejpam-5546	32	2	r+1	ORG
ejpam-5546	32	3	xr+1,r+2.	ORG
ejpam-5546	33	1	2	CARDINAL
ejpam-5546	33	2	leonard pairs	ORG
ejpam-5546	33	3	leonard pairs	ORG
ejpam-5546	35	1	nonzeros	CARDINAL
ejpam-5546	37	1	1	CARDINAL
ejpam-5546	38	1	6	CARDINAL
ejpam-5546	42	1	leonard	PERSON
ejpam-5546	42	2	2	CARDINAL
ejpam-5546	43	1	7	CARDINAL
ejpam-5546	45	1	2	CARDINAL
ejpam-5546	47	1	θi}di=0	GPE
ejpam-5546	47	2	θ∗i	CARDINAL
ejpam-5546	47	3	φj}dj=1	ORG
ejpam-5546	48	1	0 ≤	MONEY
ejpam-5546	49	1	1	CARDINAL
ejpam-5546	49	2	θ∗i ̸= θ∗j	QUANTITY
ejpam-5546	49	3	0 ≤	MONEY
ejpam-5546	50	1	2	CARDINAL
ejpam-5546	50	2	1 ≤	QUANTITY
ejpam-5546	51	1	3	CARDINAL
ejpam-5546	51	2	1 ≤	QUANTITY
ejpam-5546	52	1	4	CARDINAL
ejpam-5546	54	1	θ∗i	CARDINAL
ejpam-5546	54	2	1 ≤	QUANTITY
ejpam-5546	54	3	5	CARDINAL
ejpam-5546	54	4	h. alnajjar	PERSON
ejpam-5546	55	1	j. pure	PERSON
ejpam-5546	55	2	18	CARDINAL
ejpam-5546	55	3	1	CARDINAL
ejpam-5546	55	4	2025	CARDINAL
ejpam-5546	55	5	5546 3	CARDINAL
ejpam-5546	55	6	14	CARDINAL
ejpam-5546	56	1	θ∗i	CARDINAL
ejpam-5546	56	2	1 ≤	QUANTITY
ejpam-5546	57	1	6	CARDINAL
ejpam-5546	57	2	= θ∗j−2 −	PERSON
ejpam-5546	57	3	1	CARDINAL
ejpam-5546	58	1	7	CARDINAL
ejpam-5546	58	2	7	CARDINAL
ejpam-5546	60	1	1	CARDINAL
ejpam-5546	61	1	12	CARDINAL
ejpam-5546	61	2	leonard	PERSON
ejpam-5546	61	3	1	CARDINAL
ejpam-5546	62	1	12	CARDINAL
ejpam-5546	62	2	b∗	ORG
ejpam-5546	63	1	b∗	ORG
ejpam-5546	65	1	b∗	ORG
ejpam-5546	66	1	θi}di=0	GPE
ejpam-5546	66	2	θ∗i	CARDINAL
ejpam-5546	66	3	φj}dj=1	ORG
ejpam-5546	67	1	b(i	PERSON
ejpam-5546	67	2	b∗(i	PERSON
ejpam-5546	67	3	0 ≤ i ≤	MONEY
ejpam-5546	67	4	b(j	GPE
ejpam-5546	67	5	1)b∗(j	CARDINAL
ejpam-5546	67	6	1	CARDINAL
ejpam-5546	67	7	1 ≤ j ≤	QUANTITY
ejpam-5546	69	1	leonard	PERSON
ejpam-5546	69	2	4	CARDINAL
ejpam-5546	69	3	5	DATE
ejpam-5546	69	4	6	CARDINAL
ejpam-5546	69	5	1	CARDINAL
ejpam-5546	70	1	3	CARDINAL
ejpam-5546	70	2	⊠q	PERSON
ejpam-5546	71	1	4	CARDINAL
ejpam-5546	71	2	5	CARDINAL
ejpam-5546	72	1	3	CARDINAL
ejpam-5546	73	1	5	CARDINAL
ejpam-5546	74	1	1 or	CARDINAL
ejpam-5546	76	1	2	CARDINAL
ejpam-5546	78	1	j −	PERSON
ejpam-5546	79	1	2	CARDINAL
ejpam-5546	80	1	1	CARDINAL
ejpam-5546	80	2	h. alnajjar	PERSON
ejpam-5546	81	1	j. pure	PERSON
ejpam-5546	81	2	18	CARDINAL
ejpam-5546	81	3	1	CARDINAL
ejpam-5546	81	4	2025	CARDINAL
ejpam-5546	81	5	4	CARDINAL
ejpam-5546	81	6	one	CARDINAL
ejpam-5546	81	7	1	CARDINAL
ejpam-5546	81	8	1	CARDINAL
ejpam-5546	81	9	1	CARDINAL
ejpam-5546	81	10	2	CARDINAL
ejpam-5546	81	11	2	CARDINAL
ejpam-5546	81	12	1	CARDINAL
ejpam-5546	83	1	1	CARDINAL
ejpam-5546	83	2	k ∈	PERSON
ejpam-5546	90	1	1	CARDINAL
ejpam-5546	92	1	3]qx 2 hixjkxhi +	QUANTITY
ejpam-5546	93	1	3]qxhixjkx	CARDINAL
ejpam-5546	93	2	2	CARDINAL
ejpam-5546	93	3	3	CARDINAL
ejpam-5546	95	1	4	CARDINAL
ejpam-5546	95	2	5	DATE
ejpam-5546	95	3	6	CARDINAL
ejpam-5546	95	4	⊠q	ORG
ejpam-5546	96	1	⊠q	ORG
ejpam-5546	97	1	5	CARDINAL
ejpam-5546	97	2	⊠q	ORG
ejpam-5546	97	3	4	CARDINAL
ejpam-5546	97	4	24	CARDINAL
ejpam-5546	100	1	wi	GPE
ejpam-5546	100	2	0 ≤ i	MONEY
ejpam-5546	101	1	i=0wi	PRODUCT
ejpam-5546	103	1	4	CARDINAL
ejpam-5546	104	1	5	CARDINAL
ejpam-5546	104	2	⊠q	PERSON
ejpam-5546	104	3	1	CARDINAL
ejpam-5546	104	4	1	DATE
ejpam-5546	104	5	1	CARDINAL
ejpam-5546	105	1	wi−1 ⊆ wi	ORG
ejpam-5546	105	2	wi	ORG
ejpam-5546	105	3	s0 + s1 +	PRODUCT
ejpam-5546	105	4	0 ≤	MONEY
ejpam-5546	105	5	z4	GPE
ejpam-5546	108	1	1 or	CARDINAL
ejpam-5546	110	1	2	CARDINAL
ejpam-5546	112	1	qd−2n	PERSON
ejpam-5546	112	2	0 ≤	MONEY
ejpam-5546	116	1	5	CARDINAL
ejpam-5546	117	1	4	CARDINAL
ejpam-5546	117	2	⊠q	ORG
ejpam-5546	117	3	d.	NORP
ejpam-5546	119	1	0 ≤ n ≤	MONEY
ejpam-5546	120	1	0	CARDINAL
ejpam-5546	122	1	1	CARDINAL
ejpam-5546	123	1	4	CARDINAL
ejpam-5546	123	2	⊠q	ORG
ejpam-5546	126	1	h. alnajjar	PERSON
ejpam-5546	127	1	j. pure	PERSON
ejpam-5546	127	2	18	CARDINAL
ejpam-5546	127	3	1	CARDINAL
ejpam-5546	127	4	2025	CARDINAL
ejpam-5546	127	5	5546 5	DATE
ejpam-5546	127	6	14	CARDINAL
ejpam-5546	127	7	⊠q	ORG
ejpam-5546	128	1	5	CARDINAL
ejpam-5546	128	2	1	CARDINAL
ejpam-5546	128	3	24	CARDINAL
ejpam-5546	129	1	24	CARDINAL
ejpam-5546	129	2	11.1	CARDINAL
ejpam-5546	129	3	4	CARDINAL
ejpam-5546	129	4	kq	ORG
ejpam-5546	129	5	24	CARDINAL
ejpam-5546	130	1	6	CARDINAL
ejpam-5546	131	1	kq	ORG
ejpam-5546	131	2	z(i	GPE
ejpam-5546	131	3	δi+j	ORG
ejpam-5546	131	4	0 ≤	MONEY
ejpam-5546	133	1	0 ≤	MONEY
ejpam-5546	135	1	0 ≤	MONEY
ejpam-5546	136	1	− q2i−d−2	PERSON
ejpam-5546	136	2	1 ≤	QUANTITY
ejpam-5546	138	1	0 ≤	MONEY
ejpam-5546	139	1	1 ≤	QUANTITY
ejpam-5546	140	1	d.	NORP
ejpam-5546	140	2	6	CARDINAL
ejpam-5546	141	1	4	CARDINAL
ejpam-5546	141	2	leonard	PERSON
ejpam-5546	141	3	eight	CARDINAL
ejpam-5546	141	4	x13	DATE
ejpam-5546	141	5	3	CARDINAL
ejpam-5546	142	1	x13	DATE
ejpam-5546	142	2	x01	ORG
ejpam-5546	143	1	∈	ORG
ejpam-5546	143	2	leonard pairs	ORG
ejpam-5546	145	1	2	CARDINAL
ejpam-5546	146	1	4	CARDINAL
ejpam-5546	148	1	3	CARDINAL
ejpam-5546	148	2	2	DATE
ejpam-5546	148	3	0	CARDINAL
ejpam-5546	148	4	1	CARDINAL
ejpam-5546	148	5	x01	ORG
ejpam-5546	148	6	x12	DATE
ejpam-5546	148	7	kq	PERSON
ejpam-5546	149	1	6	DATE
ejpam-5546	150	1	3	CARDINAL
ejpam-5546	151	1	4	CARDINAL
ejpam-5546	152	1	c. lemma	PERSON
ejpam-5546	153	1	4	CARDINAL
ejpam-5546	154	1	4	CARDINAL
ejpam-5546	154	2	⊠q	ORG
ejpam-5546	156	1	h. alnajjar	PERSON
ejpam-5546	157	1	j. pure	PERSON
ejpam-5546	157	2	18	CARDINAL
ejpam-5546	157	3	1	CARDINAL
ejpam-5546	157	4	2025	CARDINAL
ejpam-5546	157	5	5546 6	CARDINAL
ejpam-5546	157	6	14	DATE
ejpam-5546	160	1	x01	ORG
ejpam-5546	160	2	x12	DATE
ejpam-5546	161	1	ax01 + bx12	PRODUCT
ejpam-5546	163	1	5	CARDINAL
ejpam-5546	164	1	2	CARDINAL
ejpam-5546	167	1	0 ≤ i ≤	MONEY
ejpam-5546	169	1	0 ≤	MONEY
ejpam-5546	172	1	1 ≤	QUANTITY
ejpam-5546	174	1	1 ≤	QUANTITY
ejpam-5546	177	1	x01	ORG
ejpam-5546	177	2	2	CARDINAL
ejpam-5546	177	3	6	CARDINAL
ejpam-5546	178	1	8	DATE
ejpam-5546	179	1	5	CARDINAL
ejpam-5546	181	1	0 ≤ i ≤	MONEY
ejpam-5546	183	1	0 ≤ i	MONEY
ejpam-5546	184	1	1)(q2i−2d−2	CARDINAL
ejpam-5546	184	2	1	CARDINAL
ejpam-5546	184	3	1 ≤	QUANTITY
ejpam-5546	185	1	1)(q2i−2d−2	CARDINAL
ejpam-5546	185	2	1	CARDINAL
ejpam-5546	185	3	1 ≤	QUANTITY
ejpam-5546	187	1	b1]s(i	ORG
ejpam-5546	187	2	0 ≤	MONEY
ejpam-5546	190	1	1	CARDINAL
ejpam-5546	190	2	1 ≤	QUANTITY
ejpam-5546	192	1	1	CARDINAL
ejpam-5546	192	2	αi}di=0	ORG
ejpam-5546	192	3	φj}dj=1	ORG
ejpam-5546	193	1	αi}di=0	ORG
ejpam-5546	193	2	φj}dj=1	ORG
ejpam-5546	193	3	1− 7	DATE
ejpam-5546	193	4	2	CARDINAL
ejpam-5546	194	1	6	CARDINAL
ejpam-5546	195	1	8	CARDINAL
ejpam-5546	195	2	̸=	ORG
ejpam-5546	195	3	0 ≤	MONEY
ejpam-5546	196	1	a−	ORG
ejpam-5546	197	1	0	CARDINAL
ejpam-5546	197	2	2d	DATE
ejpam-5546	199	1	− qd−2i	PERSON
ejpam-5546	199	2	− q2i−d	PERSON
ejpam-5546	199	3	aqd−2k(1− q2(k−i	PERSON
ejpam-5546	200	1	1−	WORK_OF_ART
ejpam-5546	201	1	h. alnajjar	PERSON
ejpam-5546	202	1	j. pure	PERSON
ejpam-5546	202	2	18	CARDINAL
ejpam-5546	202	3	1	CARDINAL
ejpam-5546	202	4	2025	CARDINAL
ejpam-5546	202	5	5546 7	DATE
ejpam-5546	202	6	14	CARDINAL
ejpam-5546	202	7	q2(k−i))(a−	PERSON
ejpam-5546	203	1	k + i.	ORG
ejpam-5546	203	2	2d	DATE
ejpam-5546	203	3	qd−2k(1 − q2(k−i))(a	ORG
ejpam-5546	204	1	0	CARDINAL
ejpam-5546	204	2	1 − q2(k−i	QUANTITY
ejpam-5546	204	3	̸=	ORG
ejpam-5546	204	4	a−	ORG
ejpam-5546	204	5	0	CARDINAL
ejpam-5546	204	6	2d	DATE
ejpam-5546	205	1	7	CARDINAL
ejpam-5546	205	2	8, α∗	DATE
ejpam-5546	205	3	0 ≤	MONEY
ejpam-5546	208	1	k−α∗	PERSON
ejpam-5546	209	1	0	CARDINAL
ejpam-5546	211	1	0	CARDINAL
ejpam-5546	215	1	8	CARDINAL
ejpam-5546	216	1	8	DATE
ejpam-5546	217	1	1 ≤	QUANTITY
ejpam-5546	219	1	9	CARDINAL
ejpam-5546	220	1	8	DATE
ejpam-5546	220	2	αd−k	ORG
ejpam-5546	221	1	1 ≤	QUANTITY
ejpam-5546	223	1	αd−k	CARDINAL
ejpam-5546	224	1	aq−d +	DATE
ejpam-5546	224	2	q−d	CARDINAL
ejpam-5546	225	1	k=0	PERSON
ejpam-5546	225	2	αd−k	ORG
ejpam-5546	225	3	k=0	PERSON
ejpam-5546	225	4	q−d	CARDINAL
ejpam-5546	227	1	q−d	CARDINAL
ejpam-5546	227	2	1)(1−	CARDINAL
ejpam-5546	229	1	10	CARDINAL
ejpam-5546	230	1	8	DATE
ejpam-5546	230	2	k=0	PERSON
ejpam-5546	230	3	αd−k	ORG
ejpam-5546	230	4	0)(αd−i+1	CARDINAL
ejpam-5546	230	5	1 ≤	QUANTITY
ejpam-5546	232	1	h. alnajjar	PERSON
ejpam-5546	233	1	j. pure	PERSON
ejpam-5546	233	2	18	CARDINAL
ejpam-5546	233	3	1	CARDINAL
ejpam-5546	233	4	2025	CARDINAL
ejpam-5546	233	5	5546 8	DATE
ejpam-5546	233	6	14	CARDINAL
ejpam-5546	234	1	9	CARDINAL
ejpam-5546	235	1	11	CARDINAL
ejpam-5546	236	1	8	CARDINAL
ejpam-5546	236	2	αh+1	DATE
ejpam-5546	238	1	1	CARDINAL
ejpam-5546	241	1	q2(k)−d	CARDINAL
ejpam-5546	243	1	1− q6 1− q2 = q2 + q−2 + 1	TIME
ejpam-5546	243	2	2 ≤ k	QUANTITY
ejpam-5546	243	3	1	CARDINAL
ejpam-5546	245	1	12	CARDINAL
ejpam-5546	246	1	8	DATE
ejpam-5546	247	1	αi}di=0	ORG
ejpam-5546	247	2	φj}dj=1	ORG
ejpam-5546	248	1	a− bq2(i−d	ORG
ejpam-5546	249	1	1 ≤	QUANTITY
ejpam-5546	252	1	1−7	CARDINAL
ejpam-5546	252	2	2	CARDINAL
ejpam-5546	252	3	αi}di=0	ORG
ejpam-5546	252	4	φj}dj=1	ORG
ejpam-5546	252	5	6	CARDINAL
ejpam-5546	252	6	7	DATE
ejpam-5546	252	7	8	DATE
ejpam-5546	252	8	9	DATE
ejpam-5546	252	9	10	DATE
ejpam-5546	252	10	11	DATE
ejpam-5546	252	11	a− bq2(i−d	ORG
ejpam-5546	252	12	1 ≤	QUANTITY
ejpam-5546	254	1	2	CARDINAL
ejpam-5546	254	2	2	CARDINAL
ejpam-5546	255	1	+ 1	DATE
ejpam-5546	255	2	x01	ORG
ejpam-5546	256	1	ax01 + bx12	PRODUCT
ejpam-5546	258	1	1 ≤	QUANTITY
ejpam-5546	261	1	5	CARDINAL
ejpam-5546	263	1	b1]s(i	ORG
ejpam-5546	264	1	12	CARDINAL
ejpam-5546	264	2	αi}di=0	ORG
ejpam-5546	264	3	φj}dj=1	ORG
ejpam-5546	264	4	1 ≤	QUANTITY
ejpam-5546	264	5	1	CARDINAL
ejpam-5546	265	1	1	CARDINAL
ejpam-5546	265	2	h. alnajjar	PERSON
ejpam-5546	266	1	j. pure	PERSON
ejpam-5546	266	2	18	CARDINAL
ejpam-5546	266	3	1	CARDINAL
ejpam-5546	266	4	2025	CARDINAL
ejpam-5546	266	5	5546 9	DATE
ejpam-5546	266	6	14 5	DATE
ejpam-5546	267	1	leonard	PERSON
ejpam-5546	267	2	13	CARDINAL
ejpam-5546	268	1	2	CARDINAL
ejpam-5546	271	1	0 ≤ i ≤	MONEY
ejpam-5546	274	1	0 ≤	MONEY
ejpam-5546	277	1	1 ≤	QUANTITY
ejpam-5546	278	1	qd(1− q2i−2d−2)(1−	WORK_OF_ART
ejpam-5546	278	2	1 ≤	QUANTITY
ejpam-5546	280	1	x01	ORG
ejpam-5546	280	2	2	CARDINAL
ejpam-5546	280	3	6	CARDINAL
ejpam-5546	281	1	9	DATE
ejpam-5546	282	1	13	CARDINAL
ejpam-5546	282	2	b(1− q2i−d)(1− q2i−2d−2)(1−	WORK_OF_ART
ejpam-5546	282	3	1 ≤	QUANTITY
ejpam-5546	283	1	− 1)(q2i	PERSON
ejpam-5546	283	2	1 ≤	QUANTITY
ejpam-5546	287	1	0 ≤ i ≤	MONEY
ejpam-5546	287	2	8	DATE
ejpam-5546	288	1	1)[b2]s(i− 1	DATE
ejpam-5546	288	2	1 ≤	QUANTITY
ejpam-5546	290	1	1	CARDINAL
ejpam-5546	290	2	αi}di=0	ORG
ejpam-5546	290	3	λj}dj=1	NORP
ejpam-5546	291	1	αi}di=0	ORG
ejpam-5546	291	2	λj}dj=1	NORP
ejpam-5546	291	3	seven	CARDINAL
ejpam-5546	291	4	2	CARDINAL
ejpam-5546	291	5	6	CARDINAL
ejpam-5546	291	6	7	DATE
ejpam-5546	291	7	11	CARDINAL
ejpam-5546	291	8	1	CARDINAL
ejpam-5546	291	9	2	DATE
ejpam-5546	291	10	7	CARDINAL
ejpam-5546	292	1	3− 6	DATE
ejpam-5546	292	2	2	CARDINAL
ejpam-5546	293	1	14	CARDINAL
ejpam-5546	294	1	9	CARDINAL
ejpam-5546	294	2	1 ≤	QUANTITY
ejpam-5546	294	3	d.	NORP
ejpam-5546	295	1	1 ≤	QUANTITY
ejpam-5546	296	1	0	CARDINAL
ejpam-5546	297	1	0	CARDINAL
ejpam-5546	297	2	1−	TIME
ejpam-5546	297	3	0	CARDINAL
ejpam-5546	297	4	15	CARDINAL
ejpam-5546	298	1	8	CARDINAL
ejpam-5546	298	2	k=0	PERSON
ejpam-5546	298	3	αd−k	ORG
ejpam-5546	299	1	1 ≤	QUANTITY
ejpam-5546	301	1	9	CARDINAL
ejpam-5546	302	1	16	CARDINAL
ejpam-5546	303	1	8 and 9	DATE
ejpam-5546	303	2	0)(αd−i+1	CARDINAL
ejpam-5546	303	3	1 ≤	QUANTITY
ejpam-5546	305	1	h. alnajjar	PERSON
ejpam-5546	306	1	j. pure	PERSON
ejpam-5546	306	2	18	CARDINAL
ejpam-5546	306	3	1	CARDINAL
ejpam-5546	306	4	2025	CARDINAL
ejpam-5546	306	5	5546 10	DATE
ejpam-5546	306	6	14	CARDINAL
ejpam-5546	307	1	9	CARDINAL
ejpam-5546	308	1	17	CARDINAL
ejpam-5546	309	1	8	CARDINAL
ejpam-5546	310	1	αi}di=0	ORG
ejpam-5546	310	2	λj}dj=1	NORP
ejpam-5546	311	1	1 ≤	QUANTITY
ejpam-5546	311	2	a− bq2(i−d	ORG
ejpam-5546	312	1	1 ≤	QUANTITY
ejpam-5546	315	1	1	CARDINAL
ejpam-5546	315	2	7	CARDINAL
ejpam-5546	315	3	2	CARDINAL
ejpam-5546	315	4	αi}di=0	ORG
ejpam-5546	315	5	λj}dj=1	NORP
ejpam-5546	315	6	6	CARDINAL
ejpam-5546	315	7	7	DATE
ejpam-5546	315	8	14	DATE
ejpam-5546	315	9	15	DATE
ejpam-5546	315	10	16	DATE
ejpam-5546	315	11	11	DATE
ejpam-5546	315	12	1 ≤	QUANTITY
ejpam-5546	316	1	a− bq2(i−d	ORG
ejpam-5546	317	1	1 ≤	QUANTITY
ejpam-5546	319	1	3	CARDINAL
ejpam-5546	320	1	2	CARDINAL
ejpam-5546	321	1	+ 1	DATE
ejpam-5546	321	2	x01	ORG
ejpam-5546	323	1	ax01+ bx12	PRODUCT
ejpam-5546	324	1	1 ≤	QUANTITY
ejpam-5546	325	1	a− bq2(i−d	ORG
ejpam-5546	326	1	1 ≤	QUANTITY
ejpam-5546	329	1	13	CARDINAL
ejpam-5546	333	1	17	CARDINAL
ejpam-5546	333	2	αi}di=0	ORG
ejpam-5546	333	3	λj}dj=1	NORP
ejpam-5546	333	4	1 ≤	QUANTITY
ejpam-5546	334	1	a− bq2(i−d	ORG
ejpam-5546	335	1	1 ≤	QUANTITY
ejpam-5546	337	1	1	CARDINAL
ejpam-5546	337	2	6	CARDINAL
ejpam-5546	338	1	leonard	PERSON
ejpam-5546	338	2	18	CARDINAL
ejpam-5546	339	1	4	CARDINAL
ejpam-5546	339	2	3	CARDINAL
ejpam-5546	339	3	1	CARDINAL
ejpam-5546	339	4	⊠q	ORG
ejpam-5546	340	1	3	CARDINAL
ejpam-5546	340	2	0	DATE
ejpam-5546	340	3	2	CARDINAL
ejpam-5546	340	4	1	CARDINAL
ejpam-5546	340	5	x23	DATE
ejpam-5546	340	6	x12	DATE
ejpam-5546	340	7	kq−1	ORG
ejpam-5546	341	1	19	CARDINAL
ejpam-5546	342	1	18	CARDINAL
ejpam-5546	345	1	0 ≤ i ≤	MONEY
ejpam-5546	347	1	0 ≤ i ≤	QUANTITY
ejpam-5546	348	1	1 ≤	QUANTITY
ejpam-5546	350	1	1 ≤	QUANTITY
ejpam-5546	353	1	x01	ORG
ejpam-5546	353	2	x23	PERSON
ejpam-5546	353	3	18	CARDINAL
ejpam-5546	353	4	6	CARDINAL
ejpam-5546	354	1	h. alnajjar	PERSON
ejpam-5546	355	1	j. pure	PERSON
ejpam-5546	355	2	18	CARDINAL
ejpam-5546	355	3	1	CARDINAL
ejpam-5546	355	4	2025	CARDINAL
ejpam-5546	355	5	5546 11	DATE
ejpam-5546	355	6	14	CARDINAL
ejpam-5546	355	7	10	CARDINAL
ejpam-5546	356	1	19	CARDINAL
ejpam-5546	356	2	q−2i)(1− tq2i−d−1	PERSON
ejpam-5546	356	3	1 ≤	QUANTITY
ejpam-5546	357	1	− 1)(q2i	PERSON
ejpam-5546	357	2	1 ≤	QUANTITY
ejpam-5546	361	1	0 ≤ i ≤	MONEY
ejpam-5546	361	2	8	CARDINAL
ejpam-5546	363	1	1 ≤	QUANTITY
ejpam-5546	364	1	1	CARDINAL
ejpam-5546	364	2	αi}di=0	ORG
ejpam-5546	365	1	αi}di=0	ORG
ejpam-5546	365	2	seven	CARDINAL
ejpam-5546	365	3	2	CARDINAL
ejpam-5546	365	4	6	CARDINAL
ejpam-5546	365	5	7	DATE
ejpam-5546	365	6	11	CARDINAL
ejpam-5546	365	7	1	CARDINAL
ejpam-5546	365	8	2	DATE
ejpam-5546	365	9	7	CARDINAL
ejpam-5546	366	1	3− 6	DATE
ejpam-5546	366	2	2	CARDINAL
ejpam-5546	367	1	20	CARDINAL
ejpam-5546	368	1	10	CARDINAL
ejpam-5546	369	1	1 ≤	QUANTITY
ejpam-5546	369	2	d.	NORP
ejpam-5546	370	1	1 ≤	QUANTITY
ejpam-5546	371	1	0	CARDINAL
ejpam-5546	372	1	0	CARDINAL
ejpam-5546	372	2	1−	TIME
ejpam-5546	372	3	0	CARDINAL
ejpam-5546	372	4	21	CARDINAL
ejpam-5546	373	1	8	CARDINAL
ejpam-5546	373	2	αd−k	ORG
ejpam-5546	374	1	1 ≤	QUANTITY
ejpam-5546	376	1	9	CARDINAL
ejpam-5546	376	2	22	CARDINAL
ejpam-5546	377	1	8	CARDINAL
ejpam-5546	377	2	k=0	PERSON
ejpam-5546	377	3	αd−k	ORG
ejpam-5546	377	4	0)(αd−i+1	CARDINAL
ejpam-5546	377	5	1 ≤	QUANTITY
ejpam-5546	380	1	9	CARDINAL
ejpam-5546	380	2	23	CARDINAL
ejpam-5546	381	1	8 and 10	DATE
ejpam-5546	382	1	αi}di=0	ORG
ejpam-5546	383	1	1 ≤	QUANTITY
ejpam-5546	383	2	1 ≤	QUANTITY
ejpam-5546	386	1	1	CARDINAL
ejpam-5546	386	2	7	CARDINAL
ejpam-5546	386	3	2	CARDINAL
ejpam-5546	386	4	αi}di=0	ORG
ejpam-5546	386	5	6	CARDINAL
ejpam-5546	386	6	7	DATE
ejpam-5546	386	7	20	DATE
ejpam-5546	386	8	21	DATE
ejpam-5546	386	9	22	DATE
ejpam-5546	386	10	11	DATE
ejpam-5546	386	11	1 ≤	QUANTITY
ejpam-5546	387	1	a− bq2(i−d	ORG
ejpam-5546	388	1	1 ≤	QUANTITY
ejpam-5546	389	1	h. alnajjar	PERSON
ejpam-5546	390	1	j. pure	PERSON
ejpam-5546	390	2	18	CARDINAL
ejpam-5546	390	3	1	CARDINAL
ejpam-5546	390	4	2025	CARDINAL
ejpam-5546	390	5	5546 12	DATE
ejpam-5546	390	6	14	CARDINAL
ejpam-5546	390	7	4	CARDINAL
ejpam-5546	390	8	2	CARDINAL
ejpam-5546	391	1	+ 1	DATE
ejpam-5546	391	2	x01	ORG
ejpam-5546	393	1	ax01+ bx12	PRODUCT
ejpam-5546	394	1	1 ≤	QUANTITY
ejpam-5546	395	1	a− bq2(i−d	ORG
ejpam-5546	396	1	1 ≤	QUANTITY
ejpam-5546	399	1	19	CARDINAL
ejpam-5546	402	1	1	CARDINAL
ejpam-5546	403	1	23	CARDINAL
ejpam-5546	403	2	αi}di=0	ORG
ejpam-5546	403	3	1 ≤	QUANTITY
ejpam-5546	404	1	a− bq2(i−d	ORG
ejpam-5546	405	1	1 ≤	QUANTITY
ejpam-5546	407	1	1	CARDINAL
ejpam-5546	407	2	5	CARDINAL
ejpam-5546	407	3	2	CARDINAL
ejpam-5546	408	1	x01	ORG
ejpam-5546	408	2	b3 = x23	PERSON
ejpam-5546	410	1	ax01 + bx12	PRODUCT
ejpam-5546	411	1	leonard	PERSON
ejpam-5546	411	2	̸= qd−2i+1	PERSON
ejpam-5546	411	3	1 ≤	QUANTITY
ejpam-5546	412	1	a− bq2(i−d	ORG
ejpam-5546	413	1	1 ≤	QUANTITY
ejpam-5546	416	1	theorems 2,	ORG
ejpam-5546	416	2	3	DATE
ejpam-5546	416	3	4	CARDINAL
ejpam-5546	416	4	24	CARDINAL
ejpam-5546	417	1	4	CARDINAL
ejpam-5546	420	1	xrs	PERSON
ejpam-5546	423	1	6	CARDINAL
ejpam-5546	424	1	2	CARDINAL
ejpam-5546	425	1	x12	DATE
ejpam-5546	427	1	ax12 + bx23	PRODUCT
ejpam-5546	428	1	leonard	PERSON
ejpam-5546	428	2	a−1bt−1 ̸= q2i−d−1	ORG
ejpam-5546	428	3	̸= qd−2i+1	PERSON
ejpam-5546	428	4	1 ≤	QUANTITY
ejpam-5546	429	1	a− bq2(i−d	ORG
ejpam-5546	430	1	1 ≤	QUANTITY
ejpam-5546	433	1	5	CARDINAL
ejpam-5546	433	2	5	CARDINAL
ejpam-5546	434	1	24	CARDINAL
ejpam-5546	435	1	7	CARDINAL
ejpam-5546	435	2	2	CARDINAL
ejpam-5546	438	1	h. alnajjar	PERSON
ejpam-5546	439	1	j. pure	PERSON
ejpam-5546	439	2	18	CARDINAL
ejpam-5546	439	3	1	CARDINAL
ejpam-5546	439	4	2025	CARDINAL
ejpam-5546	439	5	5546 13	DATE
ejpam-5546	439	6	14	CARDINAL
ejpam-5546	439	7	ax23 + bx30	PRODUCT
ejpam-5546	440	1	leonard	PERSON
ejpam-5546	440	2	̸= qd−2i+1	PERSON
ejpam-5546	440	3	1 ≤	QUANTITY
ejpam-5546	441	1	a− bq2(i−d	ORG
ejpam-5546	442	1	1 ≤	QUANTITY
ejpam-5546	445	1	5	CARDINAL
ejpam-5546	446	1	5	CARDINAL
ejpam-5546	447	1	24	CARDINAL
ejpam-5546	448	1	8	CARDINAL
ejpam-5546	449	1	2	CARDINAL
ejpam-5546	450	1	x12	DATE
ejpam-5546	452	1	ax12 + bx23	PRODUCT
ejpam-5546	453	1	leonard	PERSON
ejpam-5546	453	2	a−1bt−1 ̸= q2i−d−1	ORG
ejpam-5546	453	3	̸= qd−2i+1	PERSON
ejpam-5546	453	4	1 ≤	QUANTITY
ejpam-5546	454	1	a− bq2(i−d	ORG
ejpam-5546	455	1	1 ≤	QUANTITY
ejpam-5546	458	1	5	CARDINAL
ejpam-5546	458	2	5	CARDINAL
ejpam-5546	458	3	j+3	GPE
ejpam-5546	458	4	24	CARDINAL
ejpam-5546	459	1	1	CARDINAL
ejpam-5546	459	2	h. alnajjar	PERSON
ejpam-5546	460	1	leonard pairs	ORG
ejpam-5546	461	1	linear	ORG
ejpam-5546	461	2	59:1127–1142, 2011	DATE
ejpam-5546	462	1	2	CARDINAL
ejpam-5546	462	2	h. alnajjar	PERSON
ejpam-5546	463	1	sl2	NORP
ejpam-5546	464	1	2020	DATE
ejpam-5546	464	2	2020	DATE
ejpam-5546	465	1	3	CARDINAL
ejpam-5546	465	2	h. alnajjar	PERSON
ejpam-5546	465	3	b. curtin	PERSON
ejpam-5546	466	1	leonard pairs	PERSON
ejpam-5546	466	2	sl2	NORP
ejpam-5546	467	1	ela	PERSON
ejpam-5546	467	2	20:490–505, 2010	DATE
ejpam-5546	468	1	4	CARDINAL
ejpam-5546	468	2	t. ito	PERSON
ejpam-5546	468	3	h. rosengren	PERSON
ejpam-5546	468	4	terwilliger	CARDINAL
ejpam-5546	470	1	linear	ORG
ejpam-5546	470	2	451:107–168,	DATE
ejpam-5546	470	3	2014	DATE
ejpam-5546	471	1	5	CARDINAL
ejpam-5546	471	2	t. ito	PERSON
ejpam-5546	474	1	35:3415–3439	CARDINAL
ejpam-5546	474	2	2007	DATE
ejpam-5546	475	1	6	CARDINAL
ejpam-5546	478	1	j. algebraic combin	PERSON
ejpam-5546	478	2	2(2):177–210, 1993	DATE
ejpam-5546	479	1	7	CARDINAL
ejpam-5546	479	2	terwilliger	CARDINAL
ejpam-5546	480	1	two	CARDINAL
ejpam-5546	481	1	330:149–203, 2001	DATE
ejpam-5546	482	1	8	CARDINAL
ejpam-5546	483	1	leonard	PERSON
ejpam-5546	483	2	24	CARDINAL
ejpam-5546	484	1	32(2):827–888, 2002	DATE
ejpam-5546	485	1	9	CARDINAL
ejpam-5546	486	1	leonard pairs	ORG
ejpam-5546	487	1	opsfa rome 2001	ORG
ejpam-5546	488	1	j. comput	PERSON
ejpam-5546	489	1	153(2):463–475, 2003	DATE
ejpam-5546	490	1	10	CARDINAL
ejpam-5546	491	1	leonard	PERSON
ejpam-5546	492	1	linear	ORG
ejpam-5546	492	2	387:235–276, 2004	DATE
ejpam-5546	493	1	11	CARDINAL
ejpam-5546	493	2	terwilliger	CARDINAL
ejpam-5546	494	1	two	CARDINAL
ejpam-5546	496	1	34:307–332, 2005	DATE
ejpam-5546	497	1	h. alnajjar	PERSON
ejpam-5546	498	1	j. pure	PERSON
ejpam-5546	498	2	18	CARDINAL
ejpam-5546	498	3	1	CARDINAL
ejpam-5546	498	4	2025	CARDINAL
ejpam-5546	498	5	5546 14	DATE
ejpam-5546	499	1	12	CARDINAL
ejpam-5546	499	2	terwilliger	CARDINAL
ejpam-5546	500	1	two	CARDINAL
ejpam-5546	501	1	j. algebra	PERSON
ejpam-5546	501	2	291(1):1–45, 2005	DATE