id	sid	eid	entity	type
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american_scientific_journal-1367	1	2	issn	PERSON
american_scientific_journal-1367	1	3	2313	CARDINAL
american_scientific_journal-1367	1	4	2313	CARDINAL
american_scientific_journal-1367	1	5	riad * department of university requirements	ORG
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american_scientific_journal-1367	1	7	damascus	GPE
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american_scientific_journal-1367	5	1	von neumann	PERSON
american_scientific_journal-1367	7	1	1	CARDINAL
american_scientific_journal-1367	10	1	extr1	PERSON
american_scientific_journal-1367	12	1	1	CARDINAL
american_scientific_journal-1367	13	1	2	CARDINAL
american_scientific_journal-1367	14	1	i.	PERSON
american_scientific_journal-1367	15	1	i. fp-injective	PERSON
american_scientific_journal-1367	15	2	3	CARDINAL
american_scientific_journal-1367	18	1	132	CARDINAL
american_scientific_journal-1367	18	2	american scientific research journal	ORG
american_scientific_journal-1367	18	3	2016	CARDINAL
american_scientific_journal-1367	18	4	17	CARDINAL
american_scientific_journal-1367	18	5	132	CARDINAL
american_scientific_journal-1367	20	1	ext1(n	CARDINAL
american_scientific_journal-1367	20	2	4	CARDINAL
american_scientific_journal-1367	21	1	5	CARDINAL
american_scientific_journal-1367	21	2	6	CARDINAL
american_scientific_journal-1367	22	1	⊆	CARDINAL
american_scientific_journal-1367	22	2	𝒞𝒞⊥	ORG
american_scientific_journal-1367	22	3	∈	PRODUCT
american_scientific_journal-1367	22	4	∈	PRODUCT
american_scientific_journal-1367	23	1	⊆	CARDINAL
american_scientific_journal-1367	23	2	𝒞𝒞⊥	ORG
american_scientific_journal-1367	25	1	φ	PERSON
american_scientific_journal-1367	26	1	g φ = f.	ORG
american_scientific_journal-1367	26	2	the 𝒞𝒞-preenvelope φ	ORG
american_scientific_journal-1367	26	3	7	CARDINAL
american_scientific_journal-1367	28	1	𝒞𝒞-envelopes	PERSON
american_scientific_journal-1367	29	1	⊆	CARDINAL
american_scientific_journal-1367	29	2	mod-r.	PERSON
american_scientific_journal-1367	30	1	⊆	CARDINAL
american_scientific_journal-1367	31	1	⊆	CARDINAL
american_scientific_journal-1367	32	1	ℬ-envelope	LOC
american_scientific_journal-1367	32	2	8	CARDINAL
american_scientific_journal-1367	32	3	9	CARDINAL
american_scientific_journal-1367	33	1	8	CARDINAL
american_scientific_journal-1367	33	2	0	DATE
american_scientific_journal-1367	33	3	8	CARDINAL
american_scientific_journal-1367	33	4	1.2	CARDINAL
american_scientific_journal-1367	33	5	ℬ.	PERSON
american_scientific_journal-1367	33	6	two	CARDINAL
american_scientific_journal-1367	33	7	first	ORDINAL
american_scientific_journal-1367	34	1	fp-inj	ORG
american_scientific_journal-1367	34	2	fp-inj	ORG
american_scientific_journal-1367	35	1	section two	LAW
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american_scientific_journal-1367	35	3	3	CARDINAL
american_scientific_journal-1367	36	1	von neumann	PERSON
american_scientific_journal-1367	37	1	2.	CARDINAL
american_scientific_journal-1367	37	2	first	ORDINAL
american_scientific_journal-1367	37	3	first	ORDINAL
american_scientific_journal-1367	38	1	133	CARDINAL
american_scientific_journal-1367	38	2	american scientific research journal	ORG
american_scientific_journal-1367	38	3	2016	CARDINAL
american_scientific_journal-1367	38	4	17	CARDINAL
american_scientific_journal-1367	38	5	132-143 2.1	QUANTITY
american_scientific_journal-1367	39	1	1	CARDINAL
american_scientific_journal-1367	39	2	2	CARDINAL
american_scientific_journal-1367	40	1	ext1(n	CARDINAL
american_scientific_journal-1367	45	1	2.2	CARDINAL
american_scientific_journal-1367	47	1	1	CARDINAL
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american_scientific_journal-1367	52	1	4	CARDINAL
american_scientific_journal-1367	52	2	0	CARDINAL
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american_scientific_journal-1367	57	2	0	CARDINAL
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american_scientific_journal-1367	60	1	3	CARDINAL
american_scientific_journal-1367	60	2	1	CARDINAL
american_scientific_journal-1367	61	1	r.	NORP
american_scientific_journal-1367	62	1	0	CARDINAL
american_scientific_journal-1367	63	1	3	CARDINAL
american_scientific_journal-1367	65	1	1	CARDINAL
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american_scientific_journal-1367	66	2	4	CARDINAL
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american_scientific_journal-1367	69	2	american scientific research journal	ORG
american_scientific_journal-1367	69	3	2016	CARDINAL
american_scientific_journal-1367	69	4	17	CARDINAL
american_scientific_journal-1367	69	5	132-143	CARDINAL
american_scientific_journal-1367	69	6	4	CARDINAL
american_scientific_journal-1367	69	7	5	CARDINAL
american_scientific_journal-1367	69	8	6	CARDINAL
american_scientific_journal-1367	69	9	7	CARDINAL
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american_scientific_journal-1367	70	2	1	CARDINAL
american_scientific_journal-1367	71	1	0	CARDINAL
american_scientific_journal-1367	71	2	r.	NORP
american_scientific_journal-1367	71	3	7	CARDINAL
american_scientific_journal-1367	73	1	1	CARDINAL
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american_scientific_journal-1367	80	2	0	CARDINAL
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american_scientific_journal-1367	83	2	0	CARDINAL
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american_scientific_journal-1367	88	1	0	CARDINAL
american_scientific_journal-1367	88	2	a. hence	PERSON
american_scientific_journal-1367	88	3	2	CARDINAL
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american_scientific_journal-1367	95	1	1	CARDINAL
american_scientific_journal-1367	95	2	4	CARDINAL
american_scientific_journal-1367	97	1	f)→	ORG
american_scientific_journal-1367	97	2	0	CARDINAL
american_scientific_journal-1367	98	1	4	CARDINAL
american_scientific_journal-1367	99	1	4	CARDINAL
american_scientific_journal-1367	99	2	5	CARDINAL
american_scientific_journal-1367	99	3	6	CARDINAL
american_scientific_journal-1367	100	1	6	CARDINAL
american_scientific_journal-1367	100	2	1	CARDINAL
american_scientific_journal-1367	103	1	0	CARDINAL
american_scientific_journal-1367	103	2	0	CARDINAL
american_scientific_journal-1367	103	3	6).this	CARDINAL
american_scientific_journal-1367	103	4	0	CARDINAL
american_scientific_journal-1367	103	5	1	CARDINAL
american_scientific_journal-1367	103	6	135	CARDINAL
american_scientific_journal-1367	103	7	american scientific research journal	ORG
american_scientific_journal-1367	103	8	2016	CARDINAL
american_scientific_journal-1367	103	9	17	CARDINAL
american_scientific_journal-1367	103	10	132	CARDINAL
american_scientific_journal-1367	105	1	10	CARDINAL
american_scientific_journal-1367	105	2	5	CARDINAL
american_scientific_journal-1367	105	3	0	CARDINAL
american_scientific_journal-1367	105	4	∈	ORG
american_scientific_journal-1367	105	5	2.4	CARDINAL
american_scientific_journal-1367	106	1	10	CARDINAL
american_scientific_journal-1367	106	2	10	CARDINAL
american_scientific_journal-1367	108	1	2.5	CARDINAL
american_scientific_journal-1367	108	2	7	CARDINAL
american_scientific_journal-1367	110	1	fp-inj	ORG
american_scientific_journal-1367	111	1	2.6	CARDINAL
american_scientific_journal-1367	112	1	fp-inj	ORG
american_scientific_journal-1367	116	1	∈	ORG
american_scientific_journal-1367	117	1	0	CARDINAL
american_scientific_journal-1367	117	2	𝒞𝒞⊥	ORG
american_scientific_journal-1367	119	1	𝒞𝒞⊥	ORG
american_scientific_journal-1367	119	2	ext1(n	CARDINAL
american_scientific_journal-1367	120	1	𝒞𝒞⊥	ORG
american_scientific_journal-1367	121	1	𝒞𝒞⊥	ORG
american_scientific_journal-1367	123	1	lemma 2.4	ORG
american_scientific_journal-1367	123	2	2.5	CARDINAL
american_scientific_journal-1367	123	3	9	CARDINAL
american_scientific_journal-1367	127	1	⊆	CARDINAL
american_scientific_journal-1367	127	2	⊆	CARDINAL
american_scientific_journal-1367	129	1	𝒫𝒫ℐ	ORG
american_scientific_journal-1367	130	1	2.7	CARDINAL
american_scientific_journal-1367	131	1	9	CARDINAL
american_scientific_journal-1367	131	2	1.11	CARDINAL
american_scientific_journal-1367	132	1	⊆	CARDINAL
american_scientific_journal-1367	132	2	⊆	CARDINAL
american_scientific_journal-1367	133	1	𝒜𝒜⊥	PERSON
american_scientific_journal-1367	133	2	𝒞𝒞	ORG
american_scientific_journal-1367	135	1	136	CARDINAL
american_scientific_journal-1367	135	2	american scientific research journal	ORG
american_scientific_journal-1367	135	3	2016	CARDINAL
american_scientific_journal-1367	135	4	17	CARDINAL
american_scientific_journal-1367	135	5	132	CARDINAL
american_scientific_journal-1367	135	6	2.8	CARDINAL
american_scientific_journal-1367	138	1	2.9	CARDINAL
american_scientific_journal-1367	151	1	lemma 2.7	ORG
american_scientific_journal-1367	151	2	𝒜𝒜⊥	PERSON
american_scientific_journal-1367	151	3	𝒞𝒞	ORG
american_scientific_journal-1367	153	1	2.8	CARDINAL
american_scientific_journal-1367	153	2	𝒜𝒜⊥	PERSON
american_scientific_journal-1367	154	1	𝒜𝒜⊥	PERSON
american_scientific_journal-1367	154	2	∈	PRODUCT
american_scientific_journal-1367	154	3	0	CARDINAL
american_scientific_journal-1367	156	1	3	CARDINAL
american_scientific_journal-1367	158	1	11	CARDINAL
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american_scientific_journal-1367	161	1	1	CARDINAL
american_scientific_journal-1367	162	1	2	CARDINAL
american_scientific_journal-1367	163	1	3	CARDINAL
american_scientific_journal-1367	164	1	4	CARDINAL
american_scientific_journal-1367	165	1	5	CARDINAL
american_scientific_journal-1367	166	1	6	CARDINAL
american_scientific_journal-1367	166	2	fp-inj	ORG
american_scientific_journal-1367	168	1	2	CARDINAL
american_scientific_journal-1367	168	2	3	CARDINAL
american_scientific_journal-1367	168	3	4	CARDINAL
american_scientific_journal-1367	169	1	4	CARDINAL
american_scientific_journal-1367	169	2	5	CARDINAL
american_scientific_journal-1367	171	1	r.	NORP
american_scientific_journal-1367	171	2	0	CARDINAL
american_scientific_journal-1367	171	3	4).thus	CARDINAL
american_scientific_journal-1367	172	1	5	CARDINAL
american_scientific_journal-1367	172	2	2	CARDINAL
american_scientific_journal-1367	173	1	0	CARDINAL
american_scientific_journal-1367	173	2	0	CARDINAL
american_scientific_journal-1367	174	1	5	CARDINAL
american_scientific_journal-1367	174	2	0	CARDINAL
american_scientific_journal-1367	175	1	2.3	CARDINAL
american_scientific_journal-1367	175	2	2	CARDINAL
american_scientific_journal-1367	176	1	137	CARDINAL
american_scientific_journal-1367	176	2	american scientific research journal	ORG
american_scientific_journal-1367	176	3	2016	CARDINAL
american_scientific_journal-1367	176	4	17	CARDINAL
american_scientific_journal-1367	176	5	132-143	CARDINAL
american_scientific_journal-1367	176	6	5	CARDINAL
american_scientific_journal-1367	176	7	1	CARDINAL
american_scientific_journal-1367	178	1	5	CARDINAL
american_scientific_journal-1367	178	2	11	CARDINAL
american_scientific_journal-1367	179	1	1	CARDINAL
american_scientific_journal-1367	179	2	5	CARDINAL
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american_scientific_journal-1367	183	2	11	CARDINAL
american_scientific_journal-1367	184	1	2	CARDINAL
american_scientific_journal-1367	184	2	6	CARDINAL
american_scientific_journal-1367	185	1	6	CARDINAL
american_scientific_journal-1367	185	2	2	CARDINAL
american_scientific_journal-1367	187	1	fp-inj	ORG
american_scientific_journal-1367	187	2	2.6	CARDINAL
american_scientific_journal-1367	188	1	fp-inj	ORG
american_scientific_journal-1367	188	2	6	CARDINAL
american_scientific_journal-1367	189	1	2	CARDINAL
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american_scientific_journal-1367	194	1	3.2	CARDINAL
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american_scientific_journal-1367	196	1	3	CARDINAL
american_scientific_journal-1367	197	1	4	CARDINAL
american_scientific_journal-1367	198	1	5	CARDINAL
american_scientific_journal-1367	199	1	6	CARDINAL
american_scientific_journal-1367	200	1	7	CARDINAL
american_scientific_journal-1367	202	1	9	CARDINAL
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american_scientific_journal-1367	204	2	2	CARDINAL
american_scientific_journal-1367	204	3	3	CARDINAL
american_scientific_journal-1367	204	4	4	CARDINAL
american_scientific_journal-1367	204	5	3	CARDINAL
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american_scientific_journal-1367	205	1	5	CARDINAL
american_scientific_journal-1367	205	2	6	CARDINAL
american_scientific_journal-1367	206	1	6	CARDINAL
american_scientific_journal-1367	206	2	2	CARDINAL
american_scientific_journal-1367	208	1	ext1(a	GPE
american_scientific_journal-1367	208	2	0	CARDINAL
american_scientific_journal-1367	208	3	6).thus	CARDINAL
american_scientific_journal-1367	209	1	2	CARDINAL
american_scientific_journal-1367	209	2	5	CARDINAL
american_scientific_journal-1367	211	1	2016	CARDINAL
american_scientific_journal-1367	211	2	17	CARDINAL
american_scientific_journal-1367	211	3	132	CARDINAL
american_scientific_journal-1367	211	4	2	CARDINAL
american_scientific_journal-1367	211	5	0	CARDINAL
american_scientific_journal-1367	213	1	3	CARDINAL
american_scientific_journal-1367	213	2	7	CARDINAL
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american_scientific_journal-1367	217	1	r.	NORP
american_scientific_journal-1367	217	2	3	CARDINAL
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american_scientific_journal-1367	221	2	9	CARDINAL
american_scientific_journal-1367	223	1	4	CARDINAL
american_scientific_journal-1367	223	2	ext1(n	CARDINAL
american_scientific_journal-1367	226	1	9	CARDINAL
american_scientific_journal-1367	226	2	4	CARDINAL
american_scientific_journal-1367	226	3	4	CARDINAL
american_scientific_journal-1367	226	4	9	CARDINAL
american_scientific_journal-1367	227	1	14	CARDINAL
american_scientific_journal-1367	229	1	15	CARDINAL
american_scientific_journal-1367	229	2	2.1	CARDINAL
american_scientific_journal-1367	230	1	3.2	DATE
american_scientific_journal-1367	231	1	3.3	CARDINAL
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american_scientific_journal-1367	232	1	2	CARDINAL
american_scientific_journal-1367	233	1	3	CARDINAL
american_scientific_journal-1367	235	1	1	CARDINAL
american_scientific_journal-1367	235	2	2	CARDINAL
american_scientific_journal-1367	237	1	3	CARDINAL
american_scientific_journal-1367	237	2	2.8	CARDINAL
american_scientific_journal-1367	237	3	4	CARDINAL
american_scientific_journal-1367	238	1	ext1(n	CARDINAL
american_scientific_journal-1367	241	1	2	CARDINAL
american_scientific_journal-1367	241	2	1	CARDINAL
american_scientific_journal-1367	242	1	2	CARDINAL
american_scientific_journal-1367	242	2	3.2	CARDINAL
american_scientific_journal-1367	242	3	9	CARDINAL
american_scientific_journal-1367	243	1	ext1(n	CARDINAL
american_scientific_journal-1367	243	2	0	CARDINAL
american_scientific_journal-1367	243	3	2	CARDINAL
american_scientific_journal-1367	246	1	2	CARDINAL
american_scientific_journal-1367	246	2	3	CARDINAL
american_scientific_journal-1367	247	1	3	CARDINAL
american_scientific_journal-1367	247	2	2	CARDINAL
american_scientific_journal-1367	249	1	2.9	CARDINAL
american_scientific_journal-1367	250	1	3	CARDINAL
american_scientific_journal-1367	251	1	2	CARDINAL
american_scientific_journal-1367	252	1	139	CARDINAL
american_scientific_journal-1367	252	2	american scientific research journal	ORG
american_scientific_journal-1367	252	3	2016	CARDINAL
american_scientific_journal-1367	252	4	17	CARDINAL
american_scientific_journal-1367	252	5	132	CARDINAL
american_scientific_journal-1367	252	6	a von neumann	PERSON
american_scientific_journal-1367	252	7	r.	NORP
american_scientific_journal-1367	254	1	3	CARDINAL
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american_scientific_journal-1367	254	3	r.	NORP
american_scientific_journal-1367	256	1	3.4	CARDINAL
american_scientific_journal-1367	257	1	1	CARDINAL
american_scientific_journal-1367	258	1	2	CARDINAL
american_scientific_journal-1367	260	1	3	CARDINAL
american_scientific_journal-1367	261	1	4	CARDINAL
american_scientific_journal-1367	262	1	5	CARDINAL
american_scientific_journal-1367	263	1	6	CARDINAL
american_scientific_journal-1367	264	1	7	CARDINAL
american_scientific_journal-1367	266	1	9	CARDINAL
american_scientific_journal-1367	267	1	10	CARDINAL
american_scientific_journal-1367	267	2	fp-inj	ORG
american_scientific_journal-1367	269	1	1	CARDINAL
american_scientific_journal-1367	269	2	2	CARDINAL
american_scientific_journal-1367	269	3	3	CARDINAL
american_scientific_journal-1367	269	4	4	CARDINAL
american_scientific_journal-1367	269	5	3	CARDINAL
american_scientific_journal-1367	269	6	3.5	CARDINAL
american_scientific_journal-1367	270	1	3	CARDINAL
american_scientific_journal-1367	270	2	5	CARDINAL
american_scientific_journal-1367	272	1	3	CARDINAL
american_scientific_journal-1367	273	1	5	CARDINAL
american_scientific_journal-1367	273	2	2	CARDINAL
american_scientific_journal-1367	273	3	i.	PERSON
american_scientific_journal-1367	273	4	3	CARDINAL
american_scientific_journal-1367	273	5	6	CARDINAL
american_scientific_journal-1367	274	1	6	CARDINAL
american_scientific_journal-1367	274	2	2	CARDINAL
american_scientific_journal-1367	276	1	6	CARDINAL
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