id	sid	eid	entity	type
ejpam-2272	1	1	2	CARDINAL
ejpam-2272	1	2	kumar1	PERSON
ejpam-2272	1	3	manish kant dubey2	PERSON
ejpam-2272	1	4	3,∗ 1	CARDINAL
ejpam-2272	1	5	university of delhi	ORG
ejpam-2272	1	6	delhi	GPE
ejpam-2272	1	7	110007	DATE
ejpam-2272	1	8	india	GPE
ejpam-2272	1	9	2	CARDINAL
ejpam-2272	1	10	metcalf house	GPE
ejpam-2272	1	11	110054	DATE
ejpam-2272	1	12	india	GPE
ejpam-2272	1	13	3	CARDINAL
ejpam-2272	1	14	lakshmibai college	ORG
ejpam-2272	1	15	university of delhi	ORG
ejpam-2272	1	16	delhi	GPE
ejpam-2272	1	17	110052	DATE
ejpam-2272	1	18	india	GPE
ejpam-2272	3	1	2	CARDINAL
ejpam-2272	3	2	2	CARDINAL
ejpam-2272	3	3	1	CARDINAL
ejpam-2272	4	1	2	CARDINAL
ejpam-2272	4	2	2	CARDINAL
ejpam-2272	4	3	abc ∈	ORG
ejpam-2272	4	4	∈	ORG
ejpam-2272	5	1	bc	ORG
ejpam-2272	8	1	2absorbing	CARDINAL
ejpam-2272	8	2	2	CARDINAL
ejpam-2272	9	1	2	CARDINAL
ejpam-2272	9	2	2	CARDINAL
ejpam-2272	10	1	2010	DATE
ejpam-2272	10	2	16y30	CARDINAL
ejpam-2272	10	3	16y60	CARDINAL
ejpam-2272	10	4	2	CARDINAL
ejpam-2272	10	5	2	CARDINAL
ejpam-2272	10	6	1	CARDINAL
ejpam-2272	12	1	h. s. vandiver	PERSON
ejpam-2272	13	1	13	CARDINAL
ejpam-2272	13	2	1934	DATE
ejpam-2272	14	1	the decades	DATE
ejpam-2272	15	1	anderson	PERSON
ejpam-2272	16	1	2	CARDINAL
ejpam-2272	16	2	zero	CARDINAL
ejpam-2272	17	1	2	CARDINAL
ejpam-2272	17	2	2	CARDINAL
ejpam-2272	17	3	badawi	PERSON
ejpam-2272	17	4	badawi	PERSON
ejpam-2272	18	1	8	CARDINAL
ejpam-2272	19	1	badawi et al	PERSON
ejpam-2272	20	1	9	CARDINAL
ejpam-2272	20	2	2absorbing	CARDINAL
ejpam-2272	20	3	1	CARDINAL
ejpam-2272	22	1	p. kumar	PERSON
ejpam-2272	22	2	m. k. dubey	PERSON
ejpam-2272	23	1	186	CARDINAL
ejpam-2272	23	2	2016	CARDINAL
ejpam-2272	24	1	european journal	ORG
ejpam-2272	25	1	9	CARDINAL
ejpam-2272	25	2	2	CARDINAL
ejpam-2272	25	3	2016	DATE
ejpam-2272	25	4	186	CARDINAL
ejpam-2272	25	5	1307-5543	CARDINAL
ejpam-2272	25	6	p. kumar	PERSON
ejpam-2272	25	7	m. dubey	PERSON
ejpam-2272	26	1	j. pure	PERSON
ejpam-2272	26	2	9 (	PERCENT
ejpam-2272	26	3	2016	DATE
ejpam-2272	26	4	186	CARDINAL
ejpam-2272	26	5	⋅	GPE
ejpam-2272	26	6	s,+	ORG
ejpam-2272	26	7	0s	CARDINAL
ejpam-2272	26	8	0s	CARDINAL
ejpam-2272	26	9	0s	CARDINAL
ejpam-2272	27	1	0s	CARDINAL
ejpam-2272	27	2	0s	CARDINAL
ejpam-2272	27	3	∈	ORG
ejpam-2272	28	1	nonempty	ORG
ejpam-2272	29	1	∈	ORG
ejpam-2272	29	2	∈	ORG
ejpam-2272	30	1	∈	ORG
ejpam-2272	31	1	∈	ORG
ejpam-2272	31	2	∈	ORG
ejpam-2272	33	1	s.	PERSON
ejpam-2272	35	1	∈	ORG
ejpam-2272	37	1	10	CARDINAL
ejpam-2272	37	2	2	CARDINAL
ejpam-2272	37	3	∈	ORG
ejpam-2272	38	1	abc ∈	ORG
ejpam-2272	38	2	ab ∈	ORG
ejpam-2272	42	1	2	CARDINAL
ejpam-2272	42	2	2absorbing	CARDINAL
ejpam-2272	43	1	11	CARDINAL
ejpam-2272	43	2	2	CARDINAL
ejpam-2272	43	3	2	CARDINAL
ejpam-2272	44	1	section 2	LAW
ejpam-2272	44	2	2	CARDINAL
ejpam-2272	45	1	section 3	LAW
ejpam-2272	45	2	2absorbing	CARDINAL
ejpam-2272	45	3	5	CARDINAL
ejpam-2272	45	4	6	DATE
ejpam-2272	45	5	10	CARDINAL
ejpam-2272	45	6	12	CARDINAL
ejpam-2272	46	1	1	CARDINAL
ejpam-2272	46	2	0	CARDINAL
ejpam-2272	46	3	2	CARDINAL
ejpam-2272	46	4	2	CARDINAL
ejpam-2272	46	5	2	CARDINAL
ejpam-2272	47	1	1	CARDINAL
ejpam-2272	48	1	s.	PERSON
ejpam-2272	49	1	2	CARDINAL
ejpam-2272	49	2	∈	ORG
ejpam-2272	49	3	abc ∈	ORG
ejpam-2272	50	1	∈	ORG
ejpam-2272	52	1	bc	ORG
ejpam-2272	54	1	2	CARDINAL
ejpam-2272	54	2	2	CARDINAL
ejpam-2272	56	1	s.	PERSON
ejpam-2272	57	1	2	CARDINAL
ejpam-2272	58	1	2	CARDINAL
ejpam-2272	58	2	2.2.2 ∈	CARDINAL
ejpam-2272	58	3	2.2	CARDINAL
ejpam-2272	58	4	∉	ORG
ejpam-2272	58	5	2	CARDINAL
ejpam-2272	58	6	2	CARDINAL
ejpam-2272	59	1	s. theorem 1	ORG
ejpam-2272	60	1	f ∶ s ↦	ORG
ejpam-2272	61	1	2	CARDINAL
ejpam-2272	61	2	2	CARDINAL
ejpam-2272	61	3	s. proof	ORG
ejpam-2272	62	1	abc	ORG
ejpam-2272	62	2	∈	PRODUCT
ejpam-2272	63	1	abc	ORG
ejpam-2272	63	2	∈	ORG
ejpam-2272	64	1	2	CARDINAL
ejpam-2272	68	1	∈	ORG
ejpam-2272	68	2	bc	ORG
ejpam-2272	68	3	∈	PRODUCT
ejpam-2272	68	4	−1	DATE
ejpam-2272	68	5	∈	ORG
ejpam-2272	68	6	−1	DATE
ejpam-2272	69	1	2	CARDINAL
ejpam-2272	69	2	s. p. kumar	PERSON
ejpam-2272	69	3	m. dubey	PERSON
ejpam-2272	70	1	j. pure	PERSON
ejpam-2272	70	2	9 (	PERCENT
ejpam-2272	70	3	2016	DATE
ejpam-2272	70	4	186	CARDINAL
ejpam-2272	70	5	188	CARDINAL
ejpam-2272	70	6	2	CARDINAL
ejpam-2272	71	1	2	CARDINAL
ejpam-2272	71	2	2	CARDINAL
ejpam-2272	71	3	s. proof	ORG
ejpam-2272	72	1	abc	ORG
ejpam-2272	72	2	ac ∉ √	ORG
ejpam-2272	72	3	bc	ORG
ejpam-2272	73	1	abc ∈ √	ORG
ejpam-2272	74	1	∈	ORG
ejpam-2272	76	1	2	CARDINAL
ejpam-2272	76	2	ac ∉ √	ORG
ejpam-2272	76	3	bc	ORG
ejpam-2272	78	1	√	PERSON
ejpam-2272	78	2	2	CARDINAL
ejpam-2272	78	3	s. corollary 1	ORG
ejpam-2272	79	1	1	CARDINAL
ejpam-2272	79	2	2	CARDINAL
ejpam-2272	79	3	s. (2) √	ORG
ejpam-2272	80	1	2	CARDINAL
ejpam-2272	80	2	abc ∈	ORG
ejpam-2272	80	3	bc	ORG
ejpam-2272	82	1	∈	ORG
ejpam-2272	84	1	2	CARDINAL
ejpam-2272	85	1	2	CARDINAL
ejpam-2272	86	1	2	CARDINAL
ejpam-2272	86	2	2	CARDINAL
ejpam-2272	86	3	s. theorem 3	ORG
ejpam-2272	89	1	2	CARDINAL
ejpam-2272	89	2	2	CARDINAL
ejpam-2272	89	3	s.	PERSON
ejpam-2272	90	1	2−absorbing	CARDINAL
ejpam-2272	90	2	s. proof	ORG
ejpam-2272	91	1	9	CARDINAL
ejpam-2272	91	2	2.16	CARDINAL
ejpam-2272	92	1	4	CARDINAL
ejpam-2272	94	1	1	CARDINAL
ejpam-2272	94	2	2	CARDINAL
ejpam-2272	94	3	s.	ORG
ejpam-2272	94	4	2	CARDINAL
ejpam-2272	94	5	2	CARDINAL
ejpam-2272	94	6	s. proof	ORG
ejpam-2272	95	1	9	CARDINAL
ejpam-2272	95	2	2.4	CARDINAL
ejpam-2272	96	1	5	CARDINAL
ejpam-2272	97	1	2	CARDINAL
ejpam-2272	99	1	s.	ORG
ejpam-2272	99	2	2	CARDINAL
ejpam-2272	99	3	s with √	PRODUCT
ejpam-2272	100	1	∈	ORG
ejpam-2272	101	1	∈	ORG
ejpam-2272	103	1	∈	ORG
ejpam-2272	104	1	∈	ORG
ejpam-2272	106	1	⊆	CARDINAL
ejpam-2272	106	2	⊆	CARDINAL
ejpam-2272	108	1	⊆	CARDINAL
ejpam-2272	110	1	√	PERSON
ejpam-2272	112	1	∈	ORG
ejpam-2272	112	2	abc ∈	ORG
ejpam-2272	113	1	abcx	GPE
ejpam-2272	113	2	∈	ORG
ejpam-2272	114	1	abc	ORG
ejpam-2272	119	1	ac ∈ √	ORG
ejpam-2272	120	1	bc	ORG
ejpam-2272	121	1	√	PERSON
ejpam-2272	123	1	abc ∈	ORG
ejpam-2272	123	2	∈	ORG
ejpam-2272	124	1	bc	ORG
ejpam-2272	126	1	2	CARDINAL
ejpam-2272	126	2	s.	ORG
ejpam-2272	126	3	ab ∈	ORG
ejpam-2272	126	4	bc	ORG
ejpam-2272	127	1	2	CARDINAL
ejpam-2272	127	2	s. p. kumar	PERSON
ejpam-2272	127	3	m. dubey	PERSON
ejpam-2272	128	1	j. pure	PERSON
ejpam-2272	128	2	9 (	PERCENT
ejpam-2272	128	3	2016	DATE
ejpam-2272	128	4	186	CARDINAL
ejpam-2272	128	5	189	CARDINAL
ejpam-2272	128	6	6	CARDINAL
ejpam-2272	129	1	2	CARDINAL
ejpam-2272	129	2	1	CARDINAL
ejpam-2272	129	3	2	CARDINAL
ejpam-2272	129	4	∈	ORG
ejpam-2272	130	1	2	CARDINAL
ejpam-2272	131	1	∈	ORG
ejpam-2272	133	1	1	CARDINAL
ejpam-2272	133	2	∈	ORG
ejpam-2272	133	3	abc ∈	ORG
ejpam-2272	136	1	√	PERSON
ejpam-2272	136	2	2	CARDINAL
ejpam-2272	139	1	cax ∈	ORG
ejpam-2272	140	1	ab ∈	ORG
ejpam-2272	140	2	bc	ORG
ejpam-2272	140	3	∈	PRODUCT
ejpam-2272	140	4	∈	ORG
ejpam-2272	141	1	2	CARDINAL
ejpam-2272	141	2	s.	ORG
ejpam-2272	141	3	2	CARDINAL
ejpam-2272	141	4	⊆	CARDINAL
ejpam-2272	145	1	2	CARDINAL
ejpam-2272	147	1	y ∈ √	PERSON
ejpam-2272	152	1	3	CARDINAL
ejpam-2272	154	1	2	CARDINAL
ejpam-2272	154	2	2	CARDINAL
ejpam-2272	156	1	∈	ORG
ejpam-2272	156	2	∈	ORG
ejpam-2272	156	3	abc/st	ORG
ejpam-2272	156	4	bc	ORG
ejpam-2272	159	1	= st rp ∈	PERSON
ejpam-2272	160	1	∉	PERSON
ejpam-2272	162	1	bc	ORG
ejpam-2272	164	1	∈	ORG
ejpam-2272	164	2	2	CARDINAL
ejpam-2272	164	3	ab ∈	ORG
ejpam-2272	164	4	ab/st ∈	ORG
ejpam-2272	165	1	2	CARDINAL
ejpam-2272	166	1	1	CARDINAL
ejpam-2272	167	1	2	CARDINAL
ejpam-2272	167	2	∈	ORG
ejpam-2272	167	3	j of s.	PERSON
ejpam-2272	167	4	ab ∉	PERSON
ejpam-2272	167	5	aj ⊆ √	PERSON
ejpam-2272	169	1	aj /⊆ √	PERSON
ejpam-2272	173	1	y ∉ √	PERSON
ejpam-2272	174	1	∈	ORG
ejpam-2272	174	2	ab ∉	ORG
ejpam-2272	178	1	ab ∉	ORG
ejpam-2272	178	2	y ∉	PERSON
ejpam-2272	186	1	2	CARDINAL
ejpam-2272	193	1	aj ⊆ √	PERSON
ejpam-2272	194	1	8	CARDINAL
ejpam-2272	195	1	√	PERSON
ejpam-2272	195	2	s.	PERSON
ejpam-2272	196	1	2	CARDINAL
ejpam-2272	197	1	⊆	CARDINAL
ejpam-2272	197	2	⊆	CARDINAL
ejpam-2272	201	1	9	CARDINAL
ejpam-2272	201	2	2.19	CARDINAL
ejpam-2272	201	3	3	CARDINAL
ejpam-2272	201	4	1	CARDINAL
ejpam-2272	201	5	4	CARDINAL
ejpam-2272	203	1	p. kumar	PERSON
ejpam-2272	203	2	m. dubey	PERSON
ejpam-2272	204	1	j. pure	PERSON
ejpam-2272	204	2	9 (	PERCENT
ejpam-2272	204	3	2016	DATE
ejpam-2272	204	4	186	CARDINAL
ejpam-2272	204	5	1	CARDINAL
ejpam-2272	205	1	2	CARDINAL
ejpam-2272	208	1	⊙	LAW
ejpam-2272	209	1	⊕	PERSON
ejpam-2272	210	1	q3 ∈	PERSON
ejpam-2272	212	1	⊆	CARDINAL
ejpam-2272	213	1	⊙	ORG
ejpam-2272	214	1	q4 ∈	PERSON
ejpam-2272	216	1	⊆	CARDINAL
ejpam-2272	219	1	⊆	CARDINAL
ejpam-2272	222	1	zero	CARDINAL
ejpam-2272	224	1	9	CARDINAL
ejpam-2272	225	1	⊆	CARDINAL
ejpam-2272	226	1	2	CARDINAL
ejpam-2272	227	1	iq∩p	PRODUCT
ejpam-2272	227	2	2	CARDINAL
ejpam-2272	229	1	2	CARDINAL
ejpam-2272	230	1	⊙	ORG
ejpam-2272	230	2	⊙	ORG
ejpam-2272	232	1	iq∩p	PRODUCT
ejpam-2272	232	2	q4 ∈	PERSON
ejpam-2272	232	3	∩ p	ORG
ejpam-2272	233	1	⊆	CARDINAL
ejpam-2272	234	1	iq∩p	PRODUCT
ejpam-2272	237	1	2absorbing	CARDINAL
ejpam-2272	237	2	∈	ORG
ejpam-2272	237	3	∈	ORG
ejpam-2272	237	4	q3q1)n ∈ p	ORG
ejpam-2272	238	1	∈	ORG
ejpam-2272	239	1	⊙	ORG
ejpam-2272	240	1	∈	ORG
ejpam-2272	242	1	⊆	CARDINAL
ejpam-2272	245	1	⊆	CARDINAL
ejpam-2272	245	2	∈	ORG
ejpam-2272	245	3	iq∩p	PRODUCT
ejpam-2272	245	4	2	CARDINAL
ejpam-2272	246	1	2	CARDINAL
ejpam-2272	246	2	3	CARDINAL
ejpam-2272	246	3	integer m.	PERSON
ejpam-2272	246	4	⊙	ORG
ejpam-2272	247	1	∈	ORG
ejpam-2272	247	2	3 +	CARDINAL
ejpam-2272	247	3	⊆	CARDINAL
ejpam-2272	248	1	2	CARDINAL
ejpam-2272	248	2	3 + e1	QUANTITY
ejpam-2272	250	1	⊆	CARDINAL
ejpam-2272	250	2	∈	ORG
ejpam-2272	251	1	⊙	PRODUCT
ejpam-2272	251	2	q3	ORG
ejpam-2272	252	1	2 +	DATE
ejpam-2272	253	1	2	CARDINAL
ejpam-2272	253	2	3 +	CARDINAL
ejpam-2272	253	3	⊆	CARDINAL
ejpam-2272	254	1	∈	ORG
ejpam-2272	255	1	iq∩p	PRODUCT
ejpam-2272	255	2	2	CARDINAL
ejpam-2272	256	1	q3q1)n ∈ p	ORG
ejpam-2272	256	2	iq∩p	PRODUCT
ejpam-2272	256	3	2	CARDINAL
ejpam-2272	257	1	iq∩p	PRODUCT
ejpam-2272	257	2	2	CARDINAL
ejpam-2272	258	1	abc ∈ p	ORG
ejpam-2272	258	2	q3	ORG
ejpam-2272	258	3	q4 ∈	PERSON
ejpam-2272	261	1	abc ∈	ORG
ejpam-2272	261	2	⊙	ORG
ejpam-2272	261	3	⊙	ORG
ejpam-2272	263	1	abc	ORG
ejpam-2272	263	2	∈	ORG
ejpam-2272	263	3	∈	ORG
ejpam-2272	265	1	⊆	CARDINAL
ejpam-2272	265	2	q4 ∈	PERSON
ejpam-2272	267	1	iq∩p	PRODUCT
ejpam-2272	267	2	iq∩p	PRODUCT
ejpam-2272	267	3	3+i	CARDINAL
ejpam-2272	267	4	iq∩p	PRODUCT
ejpam-2272	267	5	1+i	CARDINAL
ejpam-2272	267	6	iq∩p	PRODUCT
ejpam-2272	267	7	iq∩p	PRODUCT
ejpam-2272	267	8	2	CARDINAL
ejpam-2272	268	1	iq∩p	PRODUCT
ejpam-2272	268	2	q5 ∈	ORG
ejpam-2272	268	3	ab ∈	ORG
ejpam-2272	269	1	ab = q5	ORG
ejpam-2272	271	1	∈	ORG
ejpam-2272	272	1	2	CARDINAL
ejpam-2272	272	2	s.	ORG
ejpam-2272	272	3	3+i	CARDINAL
ejpam-2272	272	4	iq∩p	PRODUCT
ejpam-2272	272	5	∈	ORG
ejpam-2272	272	6	3+i	CARDINAL
ejpam-2272	276	1	∈	ORG
ejpam-2272	278	1	∈	ORG
ejpam-2272	278	2	bc	ORG
ejpam-2272	280	1	2	CARDINAL
ejpam-2272	280	2	s. p. kumar	PERSON
ejpam-2272	280	3	m. dubey	PERSON
ejpam-2272	281	1	j. pure	PERSON
ejpam-2272	281	2	9 (	PERCENT
ejpam-2272	281	3	2016	DATE
ejpam-2272	281	4	186	CARDINAL
ejpam-2272	281	5	2	CARDINAL
ejpam-2272	281	6	2	CARDINAL
ejpam-2272	282	1	4	CARDINAL
ejpam-2272	283	1	s.	PERSON
ejpam-2272	284	1	2	CARDINAL
ejpam-2272	284	2	∈	ORG
ejpam-2272	284	3	0	CARDINAL
ejpam-2272	285	1	∈	ORG
ejpam-2272	287	1	bc	ORG
ejpam-2272	289	1	2	CARDINAL
ejpam-2272	289	2	2	CARDINAL
ejpam-2272	289	3	2	CARDINAL
ejpam-2272	289	4	2absorbing	CARDINAL
ejpam-2272	289	5	s.	ORG
ejpam-2272	289	6	0	CARDINAL
ejpam-2272	289	7	1	DATE
ejpam-2272	289	8	2	CARDINAL
ejpam-2272	290	1	15	CARDINAL
ejpam-2272	291	1	16	CARDINAL
ejpam-2272	292	1	0	CARDINAL
ejpam-2272	292	2	8	CARDINAL
ejpam-2272	293	1	2	CARDINAL
ejpam-2272	294	1	2	CARDINAL
ejpam-2272	295	1	2.2	CARDINAL
ejpam-2272	296	1	2	CARDINAL
ejpam-2272	296	2	2	CARDINAL
ejpam-2272	296	3	⇓ ⇓ ⇓	ORG
ejpam-2272	296	4	2	CARDINAL
ejpam-2272	296	5	2	CARDINAL
ejpam-2272	296	6	2	CARDINAL
ejpam-2272	296	7	6	CARDINAL
ejpam-2272	296	8	2.5	CARDINAL
ejpam-2272	304	1	∈	ORG
ejpam-2272	304	2	∈	ORG
ejpam-2272	307	1	10	CARDINAL
ejpam-2272	309	1	2	CARDINAL
ejpam-2272	309	2	2	CARDINAL
ejpam-2272	309	3	s. then √	ORG
ejpam-2272	314	1	first	ORDINAL
ejpam-2272	314	2	0	CARDINAL
ejpam-2272	315	1	2absorbing	CARDINAL
ejpam-2272	315	2	s. let abc ∈	ORG
ejpam-2272	316	1	abc	ORG
ejpam-2272	316	2	ab ∈	ORG
ejpam-2272	316	3	bc	ORG
ejpam-2272	318	1	2	CARDINAL
ejpam-2272	318	2	s. so	ORG
ejpam-2272	319	1	abc	ORG
ejpam-2272	319	2	0	CARDINAL
ejpam-2272	320	1	abi ≠ 0	PERSON
ejpam-2272	320	2	0 ≠	PERSON
ejpam-2272	321	1	∈	ORG
ejpam-2272	322	1	2	CARDINAL
ejpam-2272	322	2	∈	ORG
ejpam-2272	322	3	b(c + a′	ORG
ejpam-2272	325	1	lemma 2	ORG
ejpam-2272	325	2	ab ∈	ORG
ejpam-2272	326	1	bc	ORG
ejpam-2272	331	1	aic	PERSON
ejpam-2272	331	2	bc	ORG
ejpam-2272	332	1	0	CARDINAL
ejpam-2272	333	1	ai2 ≠ 0	PERSON
ejpam-2272	334	1	∈	ORG
ejpam-2272	335	1	ai1i2	ORG
ejpam-2272	336	1	abi = aic =	PERSON
ejpam-2272	336	2	bc	ORG
ejpam-2272	336	3	0	CARDINAL
ejpam-2272	337	1	ai1i2 ∈	PERSON
ejpam-2272	343	1	∈	ORG
ejpam-2272	345	1	bc	ORG
ejpam-2272	347	1	0	CARDINAL
ejpam-2272	350	1	pqr ≠ 0	ORG
ejpam-2272	358	1	bc+br+qc+qr ∈ √	PERSON
ejpam-2272	359	1	m. dubey	PERSON
ejpam-2272	360	1	j. pure	PERSON
ejpam-2272	360	2	9 (	PERCENT
ejpam-2272	360	3	2016	DATE
ejpam-2272	360	4	186	CARDINAL
ejpam-2272	360	5	ac + ar +	ORG
ejpam-2272	362	1	∈	ORG
ejpam-2272	362	2	bc	ORG
ejpam-2272	364	1	2	CARDINAL
ejpam-2272	365	1	0	CARDINAL
ejpam-2272	367	1	⊆	CARDINAL
ejpam-2272	368	1	⊆	CARDINAL
ejpam-2272	369	1	√	PERSON
ejpam-2272	371	1	11	CARDINAL
ejpam-2272	372	1	2	CARDINAL
ejpam-2272	372	2	2	CARDINAL
ejpam-2272	372	3	s.	PERSON
ejpam-2272	373	1	2	CARDINAL
ejpam-2272	373	2	s. proof	ORG
ejpam-2272	374	1	2	CARDINAL
ejpam-2272	374	2	2absorbing	CARDINAL
ejpam-2272	374	3	10	CARDINAL
ejpam-2272	374	4	√ ii	PERSON
ejpam-2272	374	5	∈	ORG
ejpam-2272	379	1	∈	ORG
ejpam-2272	380	1	ab ∉	PERSON
ejpam-2272	381	1	∈	ORG
ejpam-2272	381	2	ab ∉ ii	ORG
ejpam-2272	381	3	0	CARDINAL
ejpam-2272	382	1	bc	ORG
ejpam-2272	382	2	ac ∈ √ii	ORG
ejpam-2272	382	3	ii	ORG
ejpam-2272	382	4	2	CARDINAL
ejpam-2272	382	5	ab ∉ ii	PERSON
ejpam-2272	383	1	bc	ORG
ejpam-2272	388	1	2	CARDINAL
ejpam-2272	388	2	s.	ORG
ejpam-2272	388	3	5	CARDINAL
ejpam-2272	388	4	4	CARDINAL
ejpam-2272	388	5	1(i	CARDINAL
ejpam-2272	389	1	∈	ORG
ejpam-2272	390	1	0	CARDINAL
ejpam-2272	392	1	f ∶ s ↦	ORG
ejpam-2272	393	1	s.	ORG
ejpam-2272	393	2	1	CARDINAL
ejpam-2272	393	3	2	CARDINAL
ejpam-2272	396	1	2	CARDINAL
ejpam-2272	396	2	2	CARDINAL
ejpam-2272	396	3	2	CARDINAL
ejpam-2272	397	1	2	CARDINAL
ejpam-2272	398	1	1	CARDINAL
ejpam-2272	398	2	∈	ORG
ejpam-2272	399	1	∈	ORG
ejpam-2272	400	1	∈	ORG
ejpam-2272	400	2	∈	ORG
ejpam-2272	402	1	0	CARDINAL
ejpam-2272	402	2	pqr + n ∈	ORG
ejpam-2272	405	1	0	CARDINAL
ejpam-2272	406	1	2	CARDINAL
ejpam-2272	408	1	ab ∈	ORG
ejpam-2272	408	2	bc	ORG
ejpam-2272	408	3	∈	PRODUCT
ejpam-2272	409	1	⊆ √	QUANTITY
ejpam-2272	410	1	⊆ √	QUANTITY
ejpam-2272	411	1	2	CARDINAL
ejpam-2272	411	2	2	CARDINAL
ejpam-2272	411	3	1	CARDINAL
ejpam-2272	412	1	2	CARDINAL
ejpam-2272	413	1	1	CARDINAL
ejpam-2272	413	2	⊆	CARDINAL
ejpam-2272	414	1	sx	ORG
ejpam-2272	414	2	2	CARDINAL
ejpam-2272	415	1	2	CARDINAL
ejpam-2272	415	2	s. (2	ORG
ejpam-2272	415	3	⊆	CARDINAL
ejpam-2272	416	1	2	CARDINAL
ejpam-2272	417	1	2	CARDINAL
ejpam-2272	417	2	s. p. kumar	PERSON
ejpam-2272	417	3	m. dubey	PERSON
ejpam-2272	418	1	j. pure	PERSON
ejpam-2272	418	2	9 (	PERCENT
ejpam-2272	418	3	2016	DATE
ejpam-2272	418	4	186	CARDINAL
ejpam-2272	419	1	1	CARDINAL
ejpam-2272	419	2	2	CARDINAL
ejpam-2272	420	1	rst ≠ 0	PERSON
ejpam-2272	420	2	st ∈ √	PERSON
ejpam-2272	420	3	2	CARDINAL
ejpam-2272	420	4	s.	PERSON
ejpam-2272	421	1	0	CARDINAL
ejpam-2272	423	1	r(x +	FAC
ejpam-2272	423	2	sx	ORG
ejpam-2272	423	3	2	CARDINAL
ejpam-2272	423	4	lemma 2	ORG
ejpam-2272	423	5	st ∈ √	PERSON
ejpam-2272	424	1	0	CARDINAL
ejpam-2272	424	2	⊆	CARDINAL
ejpam-2272	425	1	sx	ORG
ejpam-2272	425	2	2	CARDINAL
ejpam-2272	425	3	s.	ORG
ejpam-2272	425	4	2	CARDINAL
ejpam-2272	425	5	2	CARDINAL
ejpam-2272	425	6	∈	ORG
ejpam-2272	426	1	rst ≠ 0	PERSON
ejpam-2272	427	1	st ∈ √	PERSON
ejpam-2272	427	2	2	CARDINAL
ejpam-2272	427	3	s. so	ORG
ejpam-2272	428	1	∈	ORG
ejpam-2272	429	1	≠ 0	PERSON
ejpam-2272	430	1	lemma 2	ORG
ejpam-2272	431	1	st ∈ √	PERSON
ejpam-2272	432	1	0	CARDINAL
ejpam-2272	432	2	0	CARDINAL
ejpam-2272	432	3	0	CARDINAL
ejpam-2272	433	1	⊆	CARDINAL
ejpam-2272	434	1	2	CARDINAL
ejpam-2272	434	2	s.	ORG
ejpam-2272	434	3	1	CARDINAL
ejpam-2272	434	4	2	DATE
ejpam-2272	435	1	∈	ORG
ejpam-2272	436	1	3	CARDINAL
ejpam-2272	438	1	1	CARDINAL
ejpam-2272	438	2	2	CARDINAL
ejpam-2272	439	1	2	CARDINAL
ejpam-2272	439	2	2	CARDINAL
ejpam-2272	440	1	3	CARDINAL
ejpam-2272	440	2	2	CARDINAL
ejpam-2272	442	1	1	CARDINAL
ejpam-2272	442	2	2	CARDINAL
ejpam-2272	442	3	b2)(c1	GPE
ejpam-2272	447	1	2absorbing	CARDINAL
ejpam-2272	450	1	1 cm 1 ∈	QUANTITY
ejpam-2272	450	2	1	CARDINAL
ejpam-2272	450	3	2	CARDINAL
ejpam-2272	450	4	2	CARDINAL
ejpam-2272	450	5	1 cm 1	QUANTITY
ejpam-2272	450	6	2 cm 2	QUANTITY
ejpam-2272	451	1	2	CARDINAL
ejpam-2272	451	2	s. (2) ⇒ (	ORG
ejpam-2272	451	3	3	CARDINAL
ejpam-2272	452	1	3	CARDINAL
ejpam-2272	452	2	1	CARDINAL
ejpam-2272	452	3	abc ∈	ORG
ejpam-2272	453	1	∈	ORG
ejpam-2272	453	2	0	CARDINAL
ejpam-2272	453	3	1)(b	DATE
ejpam-2272	453	4	1)(c	DATE
ejpam-2272	455	1	1)(b	CARDINAL
ejpam-2272	455	2	1	CARDINAL
ejpam-2272	455	3	bm	ORG
ejpam-2272	455	4	1)(cm	DATE
ejpam-2272	456	1	1	CARDINAL
ejpam-2272	457	1	2	CARDINAL
ejpam-2272	457	2	s.	ORG
ejpam-2272	457	3	∈	ORG
ejpam-2272	458	1	∈	ORG
ejpam-2272	458	2	∈	ORG
ejpam-2272	458	3	2	CARDINAL
ejpam-2272	459	1	12	CARDINAL
ejpam-2272	460	1	0	CARDINAL
ejpam-2272	461	1	2	CARDINAL
ejpam-2272	461	2	s. proof	ORG
ejpam-2272	462	1	10	CARDINAL
ejpam-2272	462	2	2.8	CARDINAL
ejpam-2272	463	1	194	CARDINAL
ejpam-2272	463	2	13	CARDINAL
ejpam-2272	464	1	⊆	CARDINAL
ejpam-2272	465	1	1	CARDINAL
ejpam-2272	465	2	2	CARDINAL
ejpam-2272	465	3	2	CARDINAL
ejpam-2272	466	1	2	CARDINAL
ejpam-2272	466	2	2	CARDINAL
ejpam-2272	466	3	2	CARDINAL
ejpam-2272	466	4	s. proof	ORG
ejpam-2272	467	1	1	CARDINAL
ejpam-2272	467	2	9	CARDINAL
ejpam-2272	468	1	2	CARDINAL
ejpam-2272	468	2	∈	ORG
ejpam-2272	469	1	abc ∈	ORG
ejpam-2272	470	1	∈	ORG
ejpam-2272	470	2	⊆	CARDINAL
ejpam-2272	470	3	bc	ORG
ejpam-2272	470	4	⊆	CARDINAL
ejpam-2272	470	5	∈	ORG
ejpam-2272	470	6	⊆	CARDINAL
ejpam-2272	470	7	2	CARDINAL
ejpam-2272	470	8	s. so	ORG
ejpam-2272	470	9	abc ∉	ORG
ejpam-2272	471	1	q3 ∈	PERSON
ejpam-2272	473	1	∈	ORG
ejpam-2272	474	1	abc	ORG
ejpam-2272	474	2	+ q2q3i1	NORP
ejpam-2272	475	1	q4	PERSON
ejpam-2272	475	2	⊆	CARDINAL
ejpam-2272	476	1	q4 ∈ p	PERSON
ejpam-2272	476	2	∩q	ORDINAL
ejpam-2272	477	1	⊆	CARDINAL
ejpam-2272	478	1	iq∩p	PRODUCT
ejpam-2272	478	2	iq∩p	PRODUCT
ejpam-2272	479	1	∈	ORG
ejpam-2272	479	2	zero	CARDINAL
ejpam-2272	480	1	0s	CARDINAL
ejpam-2272	484	1	cor	ORG
ejpam-2272	484	2	8.23	CARDINAL
ejpam-2272	484	3	11	CARDINAL
ejpam-2272	485	1	abc ∈	ORG
ejpam-2272	486	1	0s	CARDINAL
ejpam-2272	486	2	⊙	ORG
ejpam-2272	486	3	⊙	ORG
ejpam-2272	486	4	iq∩p	PRODUCT
ejpam-2272	487	1	⊙	ORG
ejpam-2272	488	1	iq∩p	PRODUCT
ejpam-2272	488	2	⊙	LAW
ejpam-2272	489	1	iq∩p	PRODUCT
ejpam-2272	489	2	⊙	ORG
ejpam-2272	489	3	iq∩p	PRODUCT
ejpam-2272	489	4	iq∩p	PRODUCT
ejpam-2272	489	5	2	CARDINAL
ejpam-2272	490	1	ab ∈ p	ORG
ejpam-2272	490	2	t. hence	GPE
ejpam-2272	490	3	2	CARDINAL
ejpam-2272	490	4	1	CARDINAL
ejpam-2272	490	5	allen	PERSON
ejpam-2272	491	1	american	NORP
ejpam-2272	491	2	21	DATE
ejpam-2272	491	3	412–416	CARDINAL
ejpam-2272	491	4	1969	DATE
ejpam-2272	492	1	2	CARDINAL
ejpam-2272	492	2	anderson	PERSON
ejpam-2272	492	3	e smith	PERSON
ejpam-2272	493	1	houston journal of mathematics	ORG
ejpam-2272	493	2	29	DATE
ejpam-2272	493	3	831–840	CARDINAL
ejpam-2272	493	4	2003	DATE
ejpam-2272	494	1	3	CARDINAL
ejpam-2272	494	2	buletinul academiei de stiinte	ORG
ejpam-2272	494	3	moldova	ORG
ejpam-2272	494	4	matematica	ORG
ejpam-2272	494	5	57(2	CARDINAL
ejpam-2272	494	6	14–23	CARDINAL
ejpam-2272	494	7	2008	DATE
ejpam-2272	495	1	4	CARDINAL
ejpam-2272	496	1	moldova	ORG
ejpam-2272	496	2	matematica	ORG
ejpam-2272	496	3	3(67	GPE
ejpam-2272	496	4	15-28	CARDINAL
ejpam-2272	498	1	5	CARDINAL
ejpam-2272	498	2	f. farzalipour	PERSON
ejpam-2272	499	1	georgian mathematical journal	ORG
ejpam-2272	499	2	423–429	CARDINAL
ejpam-2272	499	3	2005	DATE
ejpam-2272	500	1	195	CARDINAL
ejpam-2272	500	2	6	CARDINAL
ejpam-2272	501	1	sarajevo journal of mathematics	ORG
ejpam-2272	501	2	9–13	CARDINAL
ejpam-2272	501	3	2007	DATE
ejpam-2272	502	1	7	CARDINAL
ejpam-2272	502	2	a. badawi	PERSON
ejpam-2272	503	1	2	CARDINAL
ejpam-2272	503	2	australian	NORP
ejpam-2272	503	3	75	CARDINAL
ejpam-2272	503	4	417–429	GPE
ejpam-2272	503	5	2007	DATE
ejpam-2272	504	1	8	CARDINAL
ejpam-2272	504	2	a. badawi	PERSON
ejpam-2272	504	3	a.y	DATE
ejpam-2272	504	4	darani	PERSON
ejpam-2272	505	1	2	CARDINAL
ejpam-2272	505	2	houston journal of mathematics	ORG
ejpam-2272	505	3	39(2	CARDINAL
ejpam-2272	505	4	441–452	CARDINAL
ejpam-2272	505	5	2013	DATE
ejpam-2272	506	1	9	CARDINAL
ejpam-2272	506	2	a. badawi	PERSON
ejpam-2272	506	3	e. yetkin	PERSON
ejpam-2272	507	1	2	CARDINAL
ejpam-2272	507	2	korean	NORP
ejpam-2272	507	3	1163–1173	CARDINAL
ejpam-2272	507	4	2014	DATE
ejpam-2272	508	1	10	CARDINAL
ejpam-2272	508	2	darani	PERSON
ejpam-2272	509	1	2	CARDINAL
ejpam-2272	509	2	2	CARDINAL
ejpam-2272	509	3	kyungpook mathematical journal	ORG
ejpam-2272	509	4	2012	DATE
ejpam-2272	509	5	2012	DATE
ejpam-2272	510	1	11	CARDINAL
ejpam-2272	510	2	golan	PERSON
ejpam-2272	510	3	kluwer	ORG
ejpam-2272	510	4	dordrecht	ORG
ejpam-2272	510	5	1999	DATE
ejpam-2272	511	1	12	CARDINAL
ejpam-2272	512	1	second	ORDINAL
ejpam-2272	512	2	cambridge university press	ORG
ejpam-2272	512	3	cambridge	GPE
ejpam-2272	512	4	2000	DATE
ejpam-2272	513	1	13	CARDINAL
ejpam-2272	514	1	american	NORP
ejpam-2272	514	2	40(3	CARDINAL
ejpam-2272	514	3	916–920. 1934	DATE