id	sid	eid	entity	type
ejpam-2803	1	1	european journal	ORG
ejpam-2803	2	1	10	CARDINAL
ejpam-2803	2	2	2	CARDINAL
ejpam-2803	2	3	2017	DATE
ejpam-2803	2	4	211	CARDINAL
ejpam-2803	2	5	1307-5543	CARDINAL
ejpam-2803	2	6	new york	GPE
ejpam-2803	3	1	second	ORDINAL
ejpam-2803	3	2	h. ansari-toroghy1	PERSON
ejpam-2803	3	3	s. s. pourmortazavi	PERSON
ejpam-2803	3	4	1,∗ 1	DATE
ejpam-2803	3	5	university of guilan	ORG
ejpam-2803	3	6	iran	GPE
ejpam-2803	5	1	second	ORDINAL
ejpam-2803	6	1	second	ORDINAL
ejpam-2803	8	1	2010	DATE
ejpam-2803	8	2	13c13	CARDINAL
ejpam-2803	8	3	13c99	CARDINAL
ejpam-2803	8	4	second	ORDINAL
ejpam-2803	8	5	1	CARDINAL
ejpam-2803	16	1	∈	ORG
ejpam-2803	18	1	∈	ORG
ejpam-2803	18	2	∈	ORG
ejpam-2803	19	1	∈	ORG
ejpam-2803	22	1	second	ORDINAL
ejpam-2803	22	2	30	CARDINAL
ejpam-2803	23	1	second	ORDINAL
ejpam-2803	23	2	∈	ORG
ejpam-2803	23	3	zero	CARDINAL
ejpam-2803	26	1	4	CARDINAL
ejpam-2803	26	2	5	DATE
ejpam-2803	26	3	7	DATE
ejpam-2803	26	4	8	DATE
ejpam-2803	26	5	14	DATE
ejpam-2803	26	6	16	DATE
ejpam-2803	26	7	15	CARDINAL
ejpam-2803	28	1	ansari@guilan.ac.irr	ORG
ejpam-2803	28	2	h. ansari-toroghy	PERSON
ejpam-2803	28	3	mortazavi@phd.guilan.ac.ir	PERSON
ejpam-2803	28	4	s. s. pourmortazavi	PERSON
ejpam-2803	29	1	211	CARDINAL
ejpam-2803	29	2	2017	CARDINAL
ejpam-2803	30	1	h. ansari-toroghy	PERSON
ejpam-2803	30	2	s. s. pourmortazavi	PERSON
ejpam-2803	31	1	j. pure	PERSON
ejpam-2803	31	2	10	CARDINAL
ejpam-2803	31	3	2	CARDINAL
ejpam-2803	31	4	2017	CARDINAL
ejpam-2803	31	5	211-230 212	QUANTITY
ejpam-2803	32	1	23	CARDINAL
ejpam-2803	32	2	808	CARDINAL
ejpam-2803	33	1	1	CARDINAL
ejpam-2803	33	2	2	DATE
ejpam-2803	33	3	7	DATE
ejpam-2803	33	4	8	DATE
ejpam-2803	33	5	12	DATE
ejpam-2803	33	6	14	DATE
ejpam-2803	33	7	20	DATE
ejpam-2803	33	8	22	DATE
ejpam-2803	33	9	26	CARDINAL
ejpam-2803	34	1	second	ORDINAL
ejpam-2803	34	2	second	ORDINAL
ejpam-2803	35	1	7→	CARDINAL
ejpam-2803	38	1	∈	PRODUCT
ejpam-2803	38	2	⊆	CARDINAL
ejpam-2803	41	1	∈	PRODUCT
ejpam-2803	42	1	ζs∗(m	GPE
ejpam-2803	44	1	ζs∗(m	GPE
ejpam-2803	45	1	ζs∗(m	ORG
ejpam-2803	46	1	ζs∗(m	ORG
ejpam-2803	48	1	w s(n	PERSON
ejpam-2803	48	2	s∗(n	PERSON
ejpam-2803	52	1	second	ORDINAL
ejpam-2803	52	2	8	CARDINAL
ejpam-2803	53	1	second	ORDINAL
ejpam-2803	54	1	second	ORDINAL
ejpam-2803	54	2	second	ORDINAL
ejpam-2803	54	3	h. ansari-toroghy	PERSON
ejpam-2803	54	4	4	CARDINAL
ejpam-2803	55	1	second	ORDINAL
ejpam-2803	55	2	second	ORDINAL
ejpam-2803	55	3	sec(n	ORG
ejpam-2803	55	4	soc(n	GPE
ejpam-2803	56	1	second	ORDINAL
ejpam-2803	56	2	second	ORDINAL
ejpam-2803	59	1	two	CARDINAL
ejpam-2803	59	2	second	ORDINAL
ejpam-2803	59	3	⊆	CARDINAL
ejpam-2803	59	4	s ⊆ n	PRODUCT
ejpam-2803	60	1	3.9	CARDINAL
ejpam-2803	62	1	h. ansari-toroghy	PERSON
ejpam-2803	62	2	3	CARDINAL
ejpam-2803	62	3	17	CARDINAL
ejpam-2803	65	1	2.3	CARDINAL
ejpam-2803	65	2	second	ORDINAL
ejpam-2803	66	1	2.9	CARDINAL
ejpam-2803	67	1	section three	LAW
ejpam-2803	67	2	h. ansari-toroghy	PERSON
ejpam-2803	67	3	s. s. pourmortazavi	PERSON
ejpam-2803	68	1	j. pure	PERSON
ejpam-2803	68	2	10	CARDINAL
ejpam-2803	68	3	2	CARDINAL
ejpam-2803	68	4	2017	CARDINAL
ejpam-2803	68	5	211	CARDINAL
ejpam-2803	68	6	213	CARDINAL
ejpam-2803	68	7	second	ORDINAL
ejpam-2803	70	1	8	CARDINAL
ejpam-2803	70	2	3.13	CARDINAL
ejpam-2803	70	3	dcc	ORG
ejpam-2803	70	4	second	ORDINAL
ejpam-2803	71	1	3.2	DATE
ejpam-2803	72	1	3.3	CARDINAL
ejpam-2803	73	1	3.13	CARDINAL
ejpam-2803	73	2	second	ORDINAL
ejpam-2803	73	3	3.15	CARDINAL
ejpam-2803	74	1	second	ORDINAL
ejpam-2803	76	1	3.18	CARDINAL
ejpam-2803	77	1	second	ORDINAL
ejpam-2803	78	1	7→	CARDINAL
ejpam-2803	79	1	2	CARDINAL
ejpam-2803	82	1	2.1	CARDINAL
ejpam-2803	86	1	⇔ homr(rp	PERSON
ejpam-2803	87	1	6=	CARDINAL
ejpam-2803	88	1	7	CARDINAL
ejpam-2803	88	2	3.8	CARDINAL
ejpam-2803	90	1	second	ORDINAL
ejpam-2803	91	1	17	CARDINAL
ejpam-2803	91	2	4.3	CARDINAL
ejpam-2803	92	1	2.2	CARDINAL
ejpam-2803	93	1	two	CARDINAL
ejpam-2803	93	2	⊆	CARDINAL
ejpam-2803	93	3	homr(rq	ORG
ejpam-2803	94	1	qrp	ORG
ejpam-2803	98	1	homr(rp	PERSON
ejpam-2803	100	1	qrp	ORG
ejpam-2803	101	1	qrp	ORG
ejpam-2803	102	1	h. ansari-toroghy	PERSON
ejpam-2803	102	2	s. s. pourmortazavi	PERSON
ejpam-2803	103	1	j. pure	PERSON
ejpam-2803	103	2	10	CARDINAL
ejpam-2803	103	3	2	CARDINAL
ejpam-2803	103	4	2017	CARDINAL
ejpam-2803	103	5	211	CARDINAL
ejpam-2803	103	6	2.3	CARDINAL
ejpam-2803	108	1	homr(rp	ORG
ejpam-2803	108	2	6=	CARDINAL
ejpam-2803	109	1	2.1	CARDINAL
ejpam-2803	110	1	6=	CARDINAL
ejpam-2803	111	1	homr(rp	ORG
ejpam-2803	111	2	∈	PRODUCT
ejpam-2803	112	1	qrp	ORG
ejpam-2803	115	1	homr(rq	PERSON
ejpam-2803	115	2	6=	CARDINAL
ejpam-2803	116	1	2.1	CARDINAL
ejpam-2803	117	1	homr(rp	ORG
ejpam-2803	117	2	2.1	CARDINAL
ejpam-2803	117	3	2.2	CARDINAL
ejpam-2803	118	1	b)⇒	PERSON
ejpam-2803	119	1	6=	CARDINAL
ejpam-2803	121	1	6=	CARDINAL
ejpam-2803	124	1	⊆	CARDINAL
ejpam-2803	124	2	∈	ORG
ejpam-2803	125	1	2.1	CARDINAL
ejpam-2803	126	1	6=	CARDINAL
ejpam-2803	126	2	6=	CARDINAL
ejpam-2803	129	1	2.4	CARDINAL
ejpam-2803	130	1	∈	ORG
ejpam-2803	131	1	second	ORDINAL
ejpam-2803	133	1	⊆	CARDINAL
ejpam-2803	133	2	2.3	CARDINAL
ejpam-2803	133	3	homr(rp	ORG
ejpam-2803	134	1	homr(rp	ORG
ejpam-2803	134	2	second	ORDINAL
ejpam-2803	134	3	2.1	CARDINAL
ejpam-2803	140	1	2.1	CARDINAL
ejpam-2803	141	1	σ	ORG
ejpam-2803	141	2	21	CARDINAL
ejpam-2803	141	3	81	CARDINAL
ejpam-2803	141	4	4.12	CARDINAL
ejpam-2803	144	1	spec(rp/(annr(m))p	GPE
ejpam-2803	147	1	annr(m))p	NORP
ejpam-2803	147	2	annr(m))p	NORP
ejpam-2803	148	1	h. ansari-toroghy	PERSON
ejpam-2803	148	2	s. s. pourmortazavi	PERSON
ejpam-2803	149	1	j. pure	PERSON
ejpam-2803	149	2	10	CARDINAL
ejpam-2803	149	3	2	CARDINAL
ejpam-2803	149	4	2017	CARDINAL
ejpam-2803	149	5	211-230 215	QUANTITY
ejpam-2803	150	1	⊆	CARDINAL
ejpam-2803	151	1	⊆	CARDINAL
ejpam-2803	151	2	1	CARDINAL
ejpam-2803	151	3	2	DATE
ejpam-2803	153	1	t ′	DATE
ejpam-2803	155	1	∪g	PRODUCT
ejpam-2803	155	2	t ′	DATE
ejpam-2803	156	1	t ′	DATE
ejpam-2803	157	1	13	CARDINAL
ejpam-2803	157	2	94	CARDINAL
ejpam-2803	161	1	w	GPE
ejpam-2803	165	1	2.5	CARDINAL
ejpam-2803	170	1	7→	CARDINAL
ejpam-2803	171	1	φ	ORG
ejpam-2803	171	2	7→	CARDINAL
ejpam-2803	175	1	7→	CARDINAL
ejpam-2803	176	1	φ	ORG
ejpam-2803	177	1	φ	ORG
ejpam-2803	179	1	⊆	CARDINAL
ejpam-2803	179	2	⊆	CARDINAL
ejpam-2803	180	1	⊆	CARDINAL
ejpam-2803	180	2	⊆	CARDINAL
ejpam-2803	182	1	⊆	CARDINAL
ejpam-2803	184	1	φ	ORG
ejpam-2803	185	1	h. ansari-toroghy	PERSON
ejpam-2803	185	2	s. s. pourmortazavi	PERSON
ejpam-2803	186	1	j. pure	PERSON
ejpam-2803	186	2	10	CARDINAL
ejpam-2803	186	3	2	CARDINAL
ejpam-2803	186	4	2017	CARDINAL
ejpam-2803	186	5	211	CARDINAL
ejpam-2803	186	6	216 proposition 2.6	QUANTITY
ejpam-2803	190	1	zr	ORG
ejpam-2803	190	2	7	CARDINAL
ejpam-2803	190	3	5.8	CARDINAL
ejpam-2803	190	4	∈	PRODUCT
ejpam-2803	192	1	annr(s0	PERSON
ejpam-2803	194	1	annr(sr	PERSON
ejpam-2803	198	1	annr(q1	PERSON
ejpam-2803	203	1	29	CARDINAL
ejpam-2803	204	1	28	CARDINAL
ejpam-2803	206	1	28	CARDINAL
ejpam-2803	206	2	2.3	CARDINAL
ejpam-2803	207	1	17	CARDINAL
ejpam-2803	207	2	2.5	CARDINAL
ejpam-2803	208	1	2.6	CARDINAL
ejpam-2803	208	2	2.7	CARDINAL
ejpam-2803	210	1	krull	PERSON
ejpam-2803	211	1	2.7	CARDINAL
ejpam-2803	211	2	krull	PERSON
ejpam-2803	212	1	r.	NORP
ejpam-2803	212	2	second	ORDINAL
ejpam-2803	213	1	2.8	CARDINAL
ejpam-2803	214	1	zero	CARDINAL
ejpam-2803	218	1	h. ansari-toroghy	PERSON
ejpam-2803	218	2	s. s. pourmortazavi	PERSON
ejpam-2803	219	1	j. pure	PERSON
ejpam-2803	219	2	10	CARDINAL
ejpam-2803	219	3	2	CARDINAL
ejpam-2803	219	4	2017	CARDINAL
ejpam-2803	219	5	211	CARDINAL
ejpam-2803	219	6	second	ORDINAL
ejpam-2803	219	7	integer k	PERSON
ejpam-2803	219	8	1	CARDINAL
ejpam-2803	219	9	2	DATE
ejpam-2803	222	1	2.5	CARDINAL
ejpam-2803	222	2	∈	PRODUCT
ejpam-2803	223	1	∈	ORG
ejpam-2803	223	2	13	CARDINAL
ejpam-2803	223	3	95	CARDINAL
ejpam-2803	223	4	5	CARDINAL
ejpam-2803	224	1	1	CARDINAL
ejpam-2803	225	1	ofm	DATE
ejpam-2803	227	1	0	CARDINAL
ejpam-2803	227	2	dim(r	GPE
ejpam-2803	229	1	0	CARDINAL
ejpam-2803	230	1	∈	ORG
ejpam-2803	231	1	⇔ annr(s′	PERSON
ejpam-2803	232	1	∈	ORG
ejpam-2803	235	1	0	CARDINAL
ejpam-2803	235	2	dim(r	GPE
ejpam-2803	238	1	21	CARDINAL
ejpam-2803	238	2	41	CARDINAL
ejpam-2803	238	3	1.4	CARDINAL
ejpam-2803	239	1	1 ≤	QUANTITY
ejpam-2803	241	1	6=	CARDINAL
ejpam-2803	242	1	r.	NORP
ejpam-2803	244	1	2.5	CARDINAL
ejpam-2803	245	1	2.9	CARDINAL
ejpam-2803	248	1	min(m	ORG
ejpam-2803	248	2	min(m	ORG
ejpam-2803	248	3	t4	GPE
ejpam-2803	250	1	∈	ORG
ejpam-2803	255	1	30	CARDINAL
ejpam-2803	255	2	1.6	CARDINAL
ejpam-2803	255	3	6=	CARDINAL
ejpam-2803	255	4	h. ansari-toroghy	PERSON
ejpam-2803	255	5	s. s. pourmortazavi	PERSON
ejpam-2803	256	1	j. pure	PERSON
ejpam-2803	256	2	10	CARDINAL
ejpam-2803	256	3	2	CARDINAL
ejpam-2803	256	4	2017	CARDINAL
ejpam-2803	256	5	211	CARDINAL
ejpam-2803	257	1	30	CARDINAL
ejpam-2803	257	2	1.4	CARDINAL
ejpam-2803	259	1	⊆	CARDINAL
ejpam-2803	262	1	b)⇒	PERSON
ejpam-2803	264	1	7	CARDINAL
ejpam-2803	264	2	6.3	CARDINAL
ejpam-2803	266	1	10	CARDINAL
ejpam-2803	266	2	exer	PERSON
ejpam-2803	267	1	11	CARDINAL
ejpam-2803	269	1	27	CARDINAL
ejpam-2803	270	1	3	CARDINAL
ejpam-2803	271	1	3.5	CARDINAL
ejpam-2803	271	2	t4	GPE
ejpam-2803	272	1	7	CARDINAL
ejpam-2803	272	2	4.4	CARDINAL
ejpam-2803	274	1	7	CARDINAL
ejpam-2803	274	2	6.3	CARDINAL
ejpam-2803	275	1	t4	GPE
ejpam-2803	276	1	10	CARDINAL
ejpam-2803	276	2	44	CARDINAL
ejpam-2803	277	1	11	CARDINAL
ejpam-2803	277	2	10	CARDINAL
ejpam-2803	277	3	13	CARDINAL
ejpam-2803	278	1	21	CARDINAL
ejpam-2803	280	1	17	CARDINAL
ejpam-2803	280	2	2.5	CARDINAL
ejpam-2803	285	1	∈	ORG
ejpam-2803	286	1	max(r	ORG
ejpam-2803	287	1	6=	CARDINAL
ejpam-2803	288	1	30	CARDINAL
ejpam-2803	288	2	1.4	CARDINAL
ejpam-2803	289	1	⊆	CARDINAL
ejpam-2803	290	1	∈	PRODUCT
ejpam-2803	292	1	∩ max(r	PERSON
ejpam-2803	297	1	7	CARDINAL
ejpam-2803	297	2	6.3	CARDINAL
ejpam-2803	300	1	∈	PRODUCT
ejpam-2803	301	1	∩ max(r	PERSON
ejpam-2803	303	1	30	CARDINAL
ejpam-2803	303	2	1.4	CARDINAL
ejpam-2803	305	1	2.10	CARDINAL
ejpam-2803	308	1	min(m	ORG
ejpam-2803	308	2	0	CARDINAL
ejpam-2803	308	3	1	CARDINAL
ejpam-2803	309	1	1	CARDINAL
ejpam-2803	313	1	min(m	ORG
ejpam-2803	313	2	2.9	CARDINAL
ejpam-2803	314	1	min(m	ORG
ejpam-2803	314	2	2.9	CARDINAL
ejpam-2803	315	1	10	CARDINAL
ejpam-2803	315	2	44	CARDINAL
ejpam-2803	316	1	11	CARDINAL
ejpam-2803	318	1	≈	CARDINAL
ejpam-2803	319	1	7	CARDINAL
ejpam-2803	319	2	3.13	CARDINAL
ejpam-2803	321	1	h. ansari-toroghy	PERSON
ejpam-2803	321	2	s. s. pourmortazavi	PERSON
ejpam-2803	322	1	j. pure	PERSON
ejpam-2803	322	2	10	CARDINAL
ejpam-2803	322	3	2	CARDINAL
ejpam-2803	322	4	2017	CARDINAL
ejpam-2803	322	5	211	CARDINAL
ejpam-2803	323	1	second	ORDINAL
ejpam-2803	326	1	m. hochster	PERSON
ejpam-2803	326	2	19	CARDINAL
ejpam-2803	327	1	3.1	CARDINAL
ejpam-2803	329	1	⋃	PRODUCT
ejpam-2803	333	1	3.2	CARDINAL
ejpam-2803	338	1	8	CARDINAL
ejpam-2803	338	2	3.5	CARDINAL
ejpam-2803	338	3	second	ORDINAL
ejpam-2803	340	1	3.1	CARDINAL
ejpam-2803	340	2	⋃	PRODUCT
ejpam-2803	341	1	⋃	PERSON
ejpam-2803	341	2	s∗(s	ORG
ejpam-2803	341	3	⊆	CARDINAL
ejpam-2803	342	1	containing⋃	GPE
ejpam-2803	343	1	⋃ni	PERSON
ejpam-2803	345	1	3.1	CARDINAL
ejpam-2803	345	2	⋃	PERSON
ejpam-2803	347	1	s∗(s	ORG
ejpam-2803	347	2	⊆	CARDINAL
ejpam-2803	347	3	⋃	PERSON
ejpam-2803	347	4	s∗(s	ORG
ejpam-2803	347	5	⊆	CARDINAL
ejpam-2803	348	1	⋃	DATE
ejpam-2803	348	2	s∗(s	ORG
ejpam-2803	348	3	⊆	CARDINAL
ejpam-2803	349	1	⊆	CARDINAL
ejpam-2803	349	2	⊆ n2	QUANTITY
ejpam-2803	350	1	⊆	CARDINAL
ejpam-2803	350	2	⊆ n2	QUANTITY
ejpam-2803	351	1	⊆	CARDINAL
ejpam-2803	352	1	⋃	DATE
ejpam-2803	354	1	⋃	DATE
ejpam-2803	355	1	3.3	CARDINAL
ejpam-2803	360	1	10	CARDINAL
ejpam-2803	360	2	79	CARDINAL
ejpam-2803	361	1	6	CARDINAL
ejpam-2803	362	1	8	CARDINAL
ejpam-2803	362	2	3.7	CARDINAL
ejpam-2803	363	1	3.2	CARDINAL
ejpam-2803	364	1	second	ORDINAL
ejpam-2803	365	1	second	ORDINAL
ejpam-2803	365	2	∈	ORG
ejpam-2803	365	3	4	CARDINAL
ejpam-2803	366	1	3.4	CARDINAL
ejpam-2803	367	1	second	ORDINAL
ejpam-2803	368	1	second	ORDINAL
ejpam-2803	369	1	second	ORDINAL
ejpam-2803	371	1	6=	CARDINAL
ejpam-2803	371	2	zorn	ORG
ejpam-2803	371	3	lemma	ORG
ejpam-2803	371	4	second	ORDINAL
ejpam-2803	372	1	h. ansari-toroghy	PERSON
ejpam-2803	372	2	s. s. pourmortazavi	PERSON
ejpam-2803	373	1	j. pure	PERSON
ejpam-2803	373	2	10	CARDINAL
ejpam-2803	373	3	2	CARDINAL
ejpam-2803	373	4	2017	CARDINAL
ejpam-2803	373	5	211-230 220	QUANTITY
ejpam-2803	373	6	second	ORDINAL
ejpam-2803	373	7	second	ORDINAL
ejpam-2803	373	8	6=	CARDINAL
ejpam-2803	373	9	−1	DATE
ejpam-2803	373	10	6	CARDINAL
ejpam-2803	374	1	3.5	CARDINAL
ejpam-2803	379	1	second	ORDINAL
ejpam-2803	387	1	second	ORDINAL
ejpam-2803	387	2	3.2	CARDINAL
ejpam-2803	388	1	⊆	CARDINAL
ejpam-2803	388	2	⊆	CARDINAL
ejpam-2803	388	3	8	CARDINAL
ejpam-2803	388	4	3.2	CARDINAL
ejpam-2803	391	1	⊆	CARDINAL
ejpam-2803	391	2	3.1	CARDINAL
ejpam-2803	392	1	⊆	CARDINAL
ejpam-2803	393	1	second	ORDINAL
ejpam-2803	393	2	3.2	CARDINAL
ejpam-2803	396	1	second	ORDINAL
ejpam-2803	398	1	second	ORDINAL
ejpam-2803	399	1	second	ORDINAL
ejpam-2803	400	1	second	ORDINAL
ejpam-2803	400	2	second	ORDINAL
ejpam-2803	401	1	⊕	GPE
ejpam-2803	401	2	⊕	GPE
ejpam-2803	401	3	⊕	GPE
ejpam-2803	401	4	⊕	GPE
ejpam-2803	401	5	⊕	GPE
ejpam-2803	401	6	⊕	GPE
ejpam-2803	401	7	⊕	GPE
ejpam-2803	401	8	0)⊕q⊕(0)⊕	CARDINAL
ejpam-2803	402	1	0)⊕(0)⊕q⊕(0)⊕	CARDINAL
ejpam-2803	402	2	s∗(s′i	ORG
ejpam-2803	403	1	2	CARDINAL
ejpam-2803	405	1	3.2	CARDINAL
ejpam-2803	405	2	0 ≤	MONEY
ejpam-2803	405	3	∈	PRODUCT
ejpam-2803	407	1	h. ansari-toroghy	PERSON
ejpam-2803	407	2	s. s. pourmortazavi	PERSON
ejpam-2803	408	1	j. pure	PERSON
ejpam-2803	408	2	10	CARDINAL
ejpam-2803	408	3	2	CARDINAL
ejpam-2803	408	4	2017	CARDINAL
ejpam-2803	408	5	211	CARDINAL
ejpam-2803	409	1	second	ORDINAL
ejpam-2803	410	1	second	ORDINAL
ejpam-2803	413	1	ni}i∈i	ORG
ejpam-2803	413	2	18	CARDINAL
ejpam-2803	415	1	ec	ORG
ejpam-2803	415	2	∈	ORG
ejpam-2803	415	3	clp(n	ORG
ejpam-2803	415	4	24	CARDINAL
ejpam-2803	415	5	92	CARDINAL
ejpam-2803	416	1	4	CARDINAL
ejpam-2803	418	1	r∈r\p rn	GPE
ejpam-2803	422	1	im0	GPE
ejpam-2803	422	2	im0	GPE
ejpam-2803	422	3	5	CARDINAL
ejpam-2803	424	1	3.6	CARDINAL
ejpam-2803	425	1	⊆	CARDINAL
ejpam-2803	425	2	clp(0	ORG
ejpam-2803	427	1	7→	CARDINAL
ejpam-2803	429	1	sec	ORG
ejpam-2803	430	1	t ⊆ homr(rp	ORG
ejpam-2803	430	2	φ(t	ORG
ejpam-2803	431	1	thenhomr(rp	GPE
ejpam-2803	431	2	kc = homr(rp	PERSON
ejpam-2803	433	1	ip(k	ORG
ejpam-2803	433	2	k. proof	PERSON
ejpam-2803	434	1	⊆	CARDINAL
ejpam-2803	434	2	sec	ORG
ejpam-2803	435	1	sec	ORG
ejpam-2803	436	1	∈	ORG
ejpam-2803	437	1	∈	ORG
ejpam-2803	437	2	∈	ORG
ejpam-2803	438	1	g(λ	PERSON
ejpam-2803	439	1	0	CARDINAL
ejpam-2803	439	2	g(λ	PERSON
ejpam-2803	439	3	homr(rp	PERSON
ejpam-2803	439	4	sec	ORG
ejpam-2803	440	1	letk	PERSON
ejpam-2803	440	2	ofm	DATE
ejpam-2803	441	1	25	CARDINAL
ejpam-2803	441	2	3.1	CARDINAL
ejpam-2803	441	3	2	CARDINAL
ejpam-2803	441	4	7→	CARDINAL
ejpam-2803	442	1	homr(rp	PERSON
ejpam-2803	443	1	∈	ORG
ejpam-2803	444	1	= k	PERSON
ejpam-2803	445	1	homr(rp	PERSON
ejpam-2803	445	2	= rhomr(rp	PERSON
ejpam-2803	445	3	25	CARDINAL
ejpam-2803	446	1	1 s	CARDINAL
ejpam-2803	448	1	h. ansari-toroghy	PERSON
ejpam-2803	448	2	s. s. pourmortazavi	PERSON
ejpam-2803	449	1	j. pure	PERSON
ejpam-2803	449	2	10	CARDINAL
ejpam-2803	449	3	2	CARDINAL
ejpam-2803	449	4	2017	CARDINAL
ejpam-2803	449	5	211	CARDINAL
ejpam-2803	450	1	1 s	CARDINAL
ejpam-2803	450	2	0	CARDINAL
ejpam-2803	451	1	clp(0	ORG
ejpam-2803	451	2	0	CARDINAL
ejpam-2803	451	3	kc = homr(rp	PERSON
ejpam-2803	452	1	7	CARDINAL
ejpam-2803	452	2	2.15	CARDINAL
ejpam-2803	453	1	3.7	CARDINAL
ejpam-2803	454	1	clp(0	ORG
ejpam-2803	455	1	0	CARDINAL
ejpam-2803	458	1	second	ORDINAL
ejpam-2803	459	1	φ(s	GPE
ejpam-2803	460	1	second	ORDINAL
ejpam-2803	461	1	⊆	CARDINAL
ejpam-2803	462	1	se1	PERSON
ejpam-2803	462	2	⊆	CARDINAL
ejpam-2803	463	1	⊆	CARDINAL
ejpam-2803	463	2	⊆	CARDINAL
ejpam-2803	464	1	sec	ORG
ejpam-2803	464	2	⊆	CARDINAL
ejpam-2803	464	3	sec	ORG
ejpam-2803	464	4	⊆	PRODUCT
ejpam-2803	464	5	lemma 3.6 (	ORG
ejpam-2803	465	1	homr(rp	ORG
ejpam-2803	465	2	3.8	CARDINAL
ejpam-2803	466	1	r.	NORP
ejpam-2803	466	2	3.7	CARDINAL
ejpam-2803	467	1	clp(0	ORG
ejpam-2803	468	1	r.	NORP
ejpam-2803	469	1	h. ansari-toroghy	PERSON
ejpam-2803	469	2	r. ovlyaee	PERSON
ejpam-2803	469	3	9	CARDINAL
ejpam-2803	471	1	7→	CARDINAL
ejpam-2803	472	1	m)/annr(m	ORG
ejpam-2803	473	1	3.9	CARDINAL
ejpam-2803	479	1	3	CARDINAL
ejpam-2803	481	1	3.10	CARDINAL
ejpam-2803	485	1	specs(zp∞	GPE
ejpam-2803	486	1	z〉	GPE
ejpam-2803	486	2	zp∞	GPE
ejpam-2803	487	1	q ⊕	PERSON
ejpam-2803	494	1	h. ansari-toroghy	PERSON
ejpam-2803	494	2	s. s. pourmortazavi	PERSON
ejpam-2803	495	1	j. pure	PERSON
ejpam-2803	495	2	10	CARDINAL
ejpam-2803	495	3	2	CARDINAL
ejpam-2803	495	4	2017	CARDINAL
ejpam-2803	495	5	211	CARDINAL
ejpam-2803	495	6	223	CARDINAL
ejpam-2803	495	7	3.11	CARDINAL
ejpam-2803	496	1	q ⊕ zp	PERSON
ejpam-2803	497	1	z∞p ⊕ zp	PERSON
ejpam-2803	498	1	specs(z∞p ⊕ zp	PERSON
ejpam-2803	498	2	{z∞p ⊕	PERSON
ejpam-2803	498	3	0	CARDINAL
ejpam-2803	499	1	3.12	CARDINAL
ejpam-2803	501	1	dcc	ORG
ejpam-2803	503	1	11	CARDINAL
ejpam-2803	503	2	2.2	CARDINAL
ejpam-2803	505	1	0	CARDINAL
ejpam-2803	506	1	11	CARDINAL
ejpam-2803	506	2	475	CARDINAL
ejpam-2803	506	3	6	CARDINAL
ejpam-2803	507	1	3.13	CARDINAL
ejpam-2803	508	1	jac(r	PERSON
ejpam-2803	511	1	s ⊕	GPE
ejpam-2803	512	1	j ∈	PERSON
ejpam-2803	512	2	s ∈ specs(mj	ORG
ejpam-2803	515	1	m1, m2	PRODUCT
ejpam-2803	515	2	mn	ORG
ejpam-2803	516	1	7	CARDINAL
ejpam-2803	516	2	2.6	CARDINAL
ejpam-2803	516	3	1 ≤	QUANTITY
ejpam-2803	516	4	jac(r	PERSON
ejpam-2803	519	1	jac(r	PERSON
ejpam-2803	520	1	0	CARDINAL
ejpam-2803	527	1	∩	PERSON
ejpam-2803	527	2	jac(r	PERSON
ejpam-2803	531	1	jac(r	PERSON
ejpam-2803	532	1	jac(r	PERSON
ejpam-2803	534	1	0	CARDINAL
ejpam-2803	535	1	jac(r	PERSON
ejpam-2803	538	1	jac(r	PERSON
ejpam-2803	540	1	second	ORDINAL
ejpam-2803	541	1	j ∈	PERSON
ejpam-2803	542	1	⊕	GPE
ejpam-2803	543	1	7	CARDINAL
ejpam-2803	543	2	2.2	CARDINAL
ejpam-2803	543	3	0)⊕	CARDINAL
ejpam-2803	544	1	⊕	PERSON
ejpam-2803	544	2	⊕	GPE
ejpam-2803	545	1	h. ansari-toroghy	PERSON
ejpam-2803	545	2	s. s. pourmortazavi	PERSON
ejpam-2803	546	1	j. pure	PERSON
ejpam-2803	546	2	10	CARDINAL
ejpam-2803	546	3	2	CARDINAL
ejpam-2803	546	4	2017	CARDINAL
ejpam-2803	546	5	211	CARDINAL
ejpam-2803	546	6	3.14	CARDINAL
ejpam-2803	547	1	second	ORDINAL
ejpam-2803	548	1	3.15	CARDINAL
ejpam-2803	554	1	two	CARDINAL
ejpam-2803	559	1	andk	GPE
ejpam-2803	560	1	6	CARDINAL
ejpam-2803	561	1	s ⊕	GPE
ejpam-2803	561	2	⊕	GPE
ejpam-2803	561	3	6	CARDINAL
ejpam-2803	562	1	k ⊕	PERSON
ejpam-2803	563	1	mi	PERSON
ejpam-2803	563	2	second	ORDINAL
ejpam-2803	565	1	second	ORDINAL
ejpam-2803	566	1	j ∈	PERSON
ejpam-2803	566	2	⊕	PERSON
ejpam-2803	571	1	6	CARDINAL
ejpam-2803	571	2	k∈imk	ORG
ejpam-2803	571	3	⊕	PERSON
ejpam-2803	571	4	0	CARDINAL
ejpam-2803	572	1	⊆	CARDINAL
ejpam-2803	572	2	6	CARDINAL
ejpam-2803	572	3	k∈i mk	PERSON
ejpam-2803	572	4	⊕	PERSON
ejpam-2803	573	1	⊕	PERSON
ejpam-2803	573	2	⊕	GPE
ejpam-2803	574	1	⊕	PERSON
ejpam-2803	574	2	⊕	GPE
ejpam-2803	575	1	k ∈	PERSON
ejpam-2803	576	1	⊕	GPE
ejpam-2803	576	2	6	CARDINAL
ejpam-2803	576	3	⊕	PERSON
ejpam-2803	576	4	⊕	GPE
ejpam-2803	577	1	second	ORDINAL
ejpam-2803	578	1	k = s	PERSON
ejpam-2803	582	1	mi	PERSON
ejpam-2803	583	1	k ∈ specsp(mj	ORG
ejpam-2803	584	1	⊕	GPE
ejpam-2803	584	2	6	CARDINAL
ejpam-2803	584	3	k ⊕	PERSON
ejpam-2803	587	1	mi	PERSON
ejpam-2803	587	2	second	ORDINAL
ejpam-2803	589	1	⊆	CARDINAL
ejpam-2803	590	1	⊕	PERSON
ejpam-2803	591	1	1	CARDINAL
ejpam-2803	591	2	2	CARDINAL
ejpam-2803	592	1	second	ORDINAL
ejpam-2803	593	1	⊆	CARDINAL
ejpam-2803	594	1	⊆	CARDINAL
ejpam-2803	594	2	⊆	CARDINAL
ejpam-2803	595	1	⊆ s1	MONEY
ejpam-2803	595	2	⊆	CARDINAL
ejpam-2803	597	1	3.16	CARDINAL
ejpam-2803	599	1	q⊕m	PRODUCT
ejpam-2803	599	2	h. ansari-toroghy	PERSON
ejpam-2803	599	3	s. s. pourmortazavi	PERSON
ejpam-2803	600	1	j. pure	PERSON
ejpam-2803	600	2	10	CARDINAL
ejpam-2803	600	3	2	CARDINAL
ejpam-2803	600	4	2017	CARDINAL
ejpam-2803	600	5	211-230 225	QUANTITY
ejpam-2803	607	1	r.	NORP
ejpam-2803	613	1	second	ORDINAL
ejpam-2803	614	1	∈	ORG
ejpam-2803	615	1	5	CARDINAL
ejpam-2803	615	2	2.10	CARDINAL
ejpam-2803	615	3	im0	GPE
ejpam-2803	616	1	im0	GPE
ejpam-2803	616	2	⊆	CARDINAL
ejpam-2803	616	3	im0	GPE
ejpam-2803	617	1	q⊕m	LOC
ejpam-2803	617	2	3.15	CARDINAL
ejpam-2803	619	1	3.15	CARDINAL
ejpam-2803	619	2	second	ORDINAL
ejpam-2803	620	1	im0	GPE
ejpam-2803	620	2	4	CARDINAL
ejpam-2803	620	3	2.10	CARDINAL
ejpam-2803	623	1	6=	CARDINAL
ejpam-2803	623	2	⊆	CARDINAL
ejpam-2803	624	1	⊆	CARDINAL
ejpam-2803	626	1	3.15	CARDINAL
ejpam-2803	628	1	⊆	CARDINAL
ejpam-2803	629	1	⊆	CARDINAL
ejpam-2803	631	1	⊆	CARDINAL
ejpam-2803	631	2	annr(s2	ORG
ejpam-2803	631	3	⊆	CARDINAL
ejpam-2803	631	4	⊆	CARDINAL
ejpam-2803	632	1	⊆	CARDINAL
ejpam-2803	634	1	second	ORDINAL
ejpam-2803	635	1	iλ1	PERSON
ejpam-2803	636	1	si ⊆	ORG
ejpam-2803	636	2	⊆	CARDINAL
ejpam-2803	637	1	⊆	CARDINAL
ejpam-2803	637	2	annr(si	GPE
ejpam-2803	637	3	1	CARDINAL
ejpam-2803	637	4	2	CARDINAL
ejpam-2803	639	1	⊆	CARDINAL
ejpam-2803	640	1	3.17	CARDINAL
ejpam-2803	643	1	∈	ORG
ejpam-2803	643	2	6=	CARDINAL
ejpam-2803	643	3	min(m	ORG
ejpam-2803	643	4	6=	CARDINAL
ejpam-2803	645	1	∈	ORG
ejpam-2803	645	2	min(m	ORG
ejpam-2803	645	3	∈	ORG
ejpam-2803	646	1	h. ansari-toroghy	PERSON
ejpam-2803	646	2	s. s. pourmortazavi	PERSON
ejpam-2803	647	1	j. pure	PERSON
ejpam-2803	647	2	10	CARDINAL
ejpam-2803	647	3	2	CARDINAL
ejpam-2803	647	4	2017	CARDINAL
ejpam-2803	647	5	211	CARDINAL
ejpam-2803	647	6	min(m	ORG
ejpam-2803	647	7	im0	GPE
ejpam-2803	647	8	min(m	ORG
ejpam-2803	650	1	∈	ORG
ejpam-2803	650	2	6=	CARDINAL
ejpam-2803	652	1	⊆	CARDINAL
ejpam-2803	652	2	4	CARDINAL
ejpam-2803	652	3	2.9	CARDINAL
ejpam-2803	653	1	∈	PRODUCT
ejpam-2803	654	1	6=	CARDINAL
ejpam-2803	656	1	4	CARDINAL
ejpam-2803	656	2	2.9	CARDINAL
ejpam-2803	656	3	6=	CARDINAL
ejpam-2803	658	1	∈	ORG
ejpam-2803	659	1	second	ORDINAL
ejpam-2803	659	2	6=	CARDINAL
ejpam-2803	660	1	∈ ω	ORG
ejpam-2803	661	1	30	CARDINAL
ejpam-2803	661	2	1.4	CARDINAL
ejpam-2803	662	1	k ⊆	ORG
ejpam-2803	666	1	ω ⊆	ORG
ejpam-2803	666	2	min(m	ORG
ejpam-2803	668	1	∈	PRODUCT
ejpam-2803	670	1	6=	CARDINAL
ejpam-2803	671	1	s ∈ ω	ORG
ejpam-2803	671	2	min(m	ORG
ejpam-2803	673	1	∈	PRODUCT
ejpam-2803	674	1	6=	CARDINAL
ejpam-2803	674	2	4	CARDINAL
ejpam-2803	674	3	2.10	CARDINAL
ejpam-2803	679	1	second	ORDINAL
ejpam-2803	679	2	second	ORDINAL
ejpam-2803	679	3	5	CARDINAL
ejpam-2803	683	1	⊆ τ sm	QUANTITY
ejpam-2803	684	1	3.18	CARDINAL
ejpam-2803	686	1	three	CARDINAL
ejpam-2803	687	1	one	CARDINAL
ejpam-2803	693	1	h. ansari-toroghy	PERSON
ejpam-2803	693	2	s. s. pourmortazavi	PERSON
ejpam-2803	694	1	j. pure	PERSON
ejpam-2803	694	2	10	CARDINAL
ejpam-2803	694	3	2	CARDINAL
ejpam-2803	694	4	2017	CARDINAL
ejpam-2803	694	5	211	CARDINAL
ejpam-2803	695	1	⊆	CARDINAL
ejpam-2803	696	1	⊆	CARDINAL
ejpam-2803	696	2	∑	PERSON
ejpam-2803	699	1	first	ORDINAL
ejpam-2803	700	1	∈	PRODUCT
ejpam-2803	701	1	⊆	CARDINAL
ejpam-2803	702	1	7	CARDINAL
ejpam-2803	702	2	2.6	CARDINAL
ejpam-2803	706	1	second	ORDINAL
ejpam-2803	706	2	⊆	CARDINAL
ejpam-2803	706	3	second	ORDINAL
ejpam-2803	707	1	∈	ORG
ejpam-2803	708	1	⊆	CARDINAL
ejpam-2803	708	2	⊆	CARDINAL
ejpam-2803	708	3	⊆	CARDINAL
ejpam-2803	709	1	⊆	CARDINAL
ejpam-2803	709	2	β∈j annr(lβ	PERSON
ejpam-2803	709	3	⊆	CARDINAL
ejpam-2803	711	1	∈	ORG
ejpam-2803	711	2	annr(nα0	PERSON
ejpam-2803	712	1	nα0 = s	PERSON
ejpam-2803	712	2	lβ0 =	PERSON
ejpam-2803	713	1	s ⊆ n	PRODUCT
ejpam-2803	714	1	second	ORDINAL
ejpam-2803	715	1	4	CARDINAL
ejpam-2803	715	2	2.10	CARDINAL
ejpam-2803	718	1	6=	CARDINAL
ejpam-2803	719	1	30	CARDINAL
ejpam-2803	719	2	1.4	CARDINAL
ejpam-2803	720	1	second	ORDINAL
ejpam-2803	722	1	6=	CARDINAL
ejpam-2803	727	1	r.	NORP
ejpam-2803	727	2	7	CARDINAL
ejpam-2803	727	3	3.3	CARDINAL
ejpam-2803	727	4	3.6	CARDINAL
ejpam-2803	728	1	s∗(0	PERSON
ejpam-2803	730	1	ψ(v s∗(n	PERSON
ejpam-2803	737	1	6=	DATE
ejpam-2803	740	1	⊆	CARDINAL
ejpam-2803	741	1	∈	PRODUCT
ejpam-2803	742	1	3.17	CARDINAL
ejpam-2803	743	1	∈	ORG
ejpam-2803	744	1	6=	CARDINAL
ejpam-2803	744	2	⊆	CARDINAL
ejpam-2803	744	3	228	CARDINAL
ejpam-2803	747	1	annr	PERSON
ejpam-2803	747	2	∑ q∈i	LOC
ejpam-2803	748	1	⊆	CARDINAL
ejpam-2803	749	1	⊆	CARDINAL
ejpam-2803	752	1	3.19	CARDINAL
ejpam-2803	754	1	3.13	CARDINAL
ejpam-2803	754	2	3.15	CARDINAL
ejpam-2803	754	3	zpj ⊕	PERSON
ejpam-2803	755	1	1 ≤ j ≤ n	QUANTITY
ejpam-2803	758	1	3.18	CARDINAL
ejpam-2803	760	1	3.20	CARDINAL
ejpam-2803	761	1	⊕ zq	PERSON
ejpam-2803	762	1	one	CARDINAL
ejpam-2803	763	1	3.18	CARDINAL
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