id	sid	eid	entity	type
ejpam-3075	1	1	european journal	ORG
ejpam-3075	2	1	10	CARDINAL
ejpam-3075	2	2	4	CARDINAL
ejpam-3075	2	3	2017	DATE
ejpam-3075	2	4	614	CARDINAL
ejpam-3075	2	5	new york	GPE
ejpam-3075	2	6	arjun k. gupta1,∗	PERSON
ejpam-3075	3	1	d. g. kabe1,2	PERSON
ejpam-3075	3	2	1	CARDINAL
ejpam-3075	3	3	ohio	GPE
ejpam-3075	3	4	usa 2	ORG
ejpam-3075	5	1	1	CARDINAL
ejpam-3075	5	2	gupta	GPE
ejpam-3075	6	1	2	CARDINAL
ejpam-3075	6	2	4	CARDINAL
ejpam-3075	6	3	mathai	PERSON
ejpam-3075	7	1	8	CARDINAL
ejpam-3075	11	1	hypercomplex	PRODUCT
ejpam-3075	12	1	6	CARDINAL
ejpam-3075	13	1	2010	DATE
ejpam-3075	13	2	62h10	CARDINAL
ejpam-3075	13	3	1	CARDINAL
ejpam-3075	15	1	x4t	PERSON
ejpam-3075	15	2	1 4	DATE
ejpam-3075	15	3	1 2	CARDINAL
ejpam-3075	15	4	1	CARDINAL
ejpam-3075	15	5	2	CARDINAL
ejpam-3075	15	6	4	CARDINAL
ejpam-3075	15	7	2	CARDINAL
ejpam-3075	16	1	1	CARDINAL
ejpam-3075	16	2	−1	DATE
ejpam-3075	16	3	jmr = kjr = knm	PERSON
ejpam-3075	17	1	2	CARDINAL
ejpam-3075	18	1	a. k. gupta	PERSON
ejpam-3075	18	2	d. g. kabe	PERSON
ejpam-3075	19	1	614	CARDINAL
ejpam-3075	19	2	2017	CARDINAL
ejpam-3075	20	1	a. k. gupta	PERSON
ejpam-3075	20	2	d. g. kabe	PERSON
ejpam-3075	21	1	j. pure	PERSON
ejpam-3075	21	2	10	CARDINAL
ejpam-3075	21	3	4	CARDINAL
ejpam-3075	21	4	2017	CARDINAL
ejpam-3075	21	5	614	CARDINAL
ejpam-3075	21	6	1	CARDINAL
ejpam-3075	21	7	2	CARDINAL
ejpam-3075	21	8	4	CARDINAL
ejpam-3075	21	9	4i	CARDINAL
ejpam-3075	21	10	hypercomplex	PERSON
ejpam-3075	21	11	clifford algebras	PERSON
ejpam-3075	22	1	octonions	CARDINAL
ejpam-3075	22	2	ȳ	ORG
ejpam-3075	24	1	3	CARDINAL
ejpam-3075	24	2	y ȳ	ORG
ejpam-3075	27	1	1 +	CARDINAL
ejpam-3075	27	2	2 + j ∑	DATE
ejpam-3075	27	3	4 + l ∑ 5 +m	QUANTITY
ejpam-3075	27	4	6 + n ∑	QUANTITY
ejpam-3075	27	5	4	CARDINAL
ejpam-3075	27	6	1	CARDINAL
ejpam-3075	27	7	2	CARDINAL
ejpam-3075	28	1	∑	ORG
ejpam-3075	30	1	6	CARDINAL
ejpam-3075	31	1	5	CARDINAL
ejpam-3075	31	2	the hc wishart	ORG
ejpam-3075	31	3	γp(2nt)}−1|	ORG
ejpam-3075	31	4	6	CARDINAL
ejpam-3075	32	1	7	CARDINAL
ejpam-3075	32	2	two	CARDINAL
ejpam-3075	32	3	1	CARDINAL
ejpam-3075	32	4	1 2	CARDINAL
ejpam-3075	33	1	2qt)}−1|i	CARDINAL
ejpam-3075	33	2	9	CARDINAL
ejpam-3075	33	3	5	CARDINAL
ejpam-3075	33	4	bp(a	NORP
ejpam-3075	34	1	10	CARDINAL
ejpam-3075	34	2	6	CARDINAL
ejpam-3075	34	3	21	CARDINAL
ejpam-3075	35	1	4t,∧ = diag(λ1	QUANTITY
ejpam-3075	35	2	11	CARDINAL
ejpam-3075	36	1	2qt)−1|i	CARDINAL
ejpam-3075	38	1	4	CARDINAL
ejpam-3075	38	2	12	CARDINAL
ejpam-3075	38	3	6	CARDINAL
ejpam-3075	40	1	section 3	LAW
ejpam-3075	41	1	section 4	LAW
ejpam-3075	41	2	section 5	LAW
ejpam-3075	42	1	a. k. gupta	PERSON
ejpam-3075	42	2	d. g. kabe	PERSON
ejpam-3075	43	1	j. pure	PERSON
ejpam-3075	43	2	10	CARDINAL
ejpam-3075	43	3	4	CARDINAL
ejpam-3075	43	4	2017	CARDINAL
ejpam-3075	43	5	614	CARDINAL
ejpam-3075	44	1	13	CARDINAL
ejpam-3075	45	1	φ(θ	PERSON
ejpam-3075	46	1	k ∫ exp{−tr(x∆x	ORG
ejpam-3075	47	1	′)}dx	CARDINAL
ejpam-3075	48	1	i=1 |δii	PERSON
ejpam-3075	48	2	14	CARDINAL
ejpam-3075	49	1	mathai	PERSON
ejpam-3075	50	1	8	CARDINAL
ejpam-3075	50	2	13	CARDINAL
ejpam-3075	51	1	14	CARDINAL
ejpam-3075	52	1	1 2	CARDINAL
ejpam-3075	52	2	1 2 pnexp{−δ1trt}|t |	CARDINAL
ejpam-3075	52	3	1 2	CARDINAL
ejpam-3075	52	4	1 2	CARDINAL
ejpam-3075	52	5	1 2	CARDINAL
ejpam-3075	52	6	1	CARDINAL
ejpam-3075	52	7	1 2 n	QUANTITY
ejpam-3075	52	8	1)δ1	CARDINAL
ejpam-3075	53	1	15	CARDINAL
ejpam-3075	54	1	mathai	PERSON
ejpam-3075	54	2	8	CARDINAL
ejpam-3075	54	3	mathai	PERSON
ejpam-3075	55	1	8	CARDINAL
ejpam-3075	55	2	mathai	PERSON
ejpam-3075	55	3	hayakawa	ORG
ejpam-3075	55	4	7	CARDINAL
ejpam-3075	55	5	chapter 5	LAW
ejpam-3075	55	6	15	CARDINAL
ejpam-3075	56	1	kexp{−(α1y1	ORG
ejpam-3075	56	2	16	CARDINAL
ejpam-3075	58	1	ψ(θ	GPE
ejpam-3075	59	1	α1	CARDINAL
ejpam-3075	63	1	17	CARDINAL
ejpam-3075	64	1	17	CARDINAL
ejpam-3075	65	1	γ(g1	GPE
ejpam-3075	65	2	+ +	DATE
ejpam-3075	66	1	+gn−1	PERSON
ejpam-3075	66	2	a. k. gupta	PERSON
ejpam-3075	66	3	d. g. kabe	PERSON
ejpam-3075	67	1	j. pure	PERSON
ejpam-3075	67	2	10	CARDINAL
ejpam-3075	67	3	4	CARDINAL
ejpam-3075	67	4	2017	CARDINAL
ejpam-3075	67	5	614	CARDINAL
ejpam-3075	70	1	18	CARDINAL
ejpam-3075	73	1	1	CARDINAL
ejpam-3075	76	1	19	CARDINAL
ejpam-3075	76	2	19	CARDINAL
ejpam-3075	77	1	two	CARDINAL
ejpam-3075	77	2	p×p wishart	ORG
ejpam-3075	77	3	ω	GPE
ejpam-3075	78	1	2g=(p+1	CARDINAL
ejpam-3075	78	2	k ∫ exp{−tr(a+b)}|a|n−g|b|q−g 0f1(n	PERSON
ejpam-3075	78	3	20	CARDINAL
ejpam-3075	78	4	0	CARDINAL
ejpam-3075	79	1	21	CARDINAL
ejpam-3075	79	2	mathai	PERSON
ejpam-3075	80	1	8	CARDINAL
ejpam-3075	80	2	339	CARDINAL
ejpam-3075	80	3	5.5	CARDINAL
ejpam-3075	81	1	1f1(b1	CARDINAL
ejpam-3075	81	2	1f1(b2	CARDINAL
ejpam-3075	81	3	d2;x2u2)du1du2 = ∫ |u1|d1−g|u2|d2−g|i	ORG
ejpam-3075	81	4	0f1(d1;x1u1z1)0f1(d2;x2u2z2)dz1dz2du1du2	CARDINAL
ejpam-3075	82	1	1f1(b1	CARDINAL
ejpam-3075	83	1	1f1(b1	CARDINAL
ejpam-3075	83	2	22	CARDINAL
ejpam-3075	83	3	15	CARDINAL
ejpam-3075	83	4	19	CARDINAL
ejpam-3075	84	1	22	CARDINAL
ejpam-3075	85	1	3	CARDINAL
ejpam-3075	86	1	23	CARDINAL
ejpam-3075	86	2	a. k. gupta	PERSON
ejpam-3075	86	3	d. g. kabe	PERSON
ejpam-3075	87	1	j. pure	PERSON
ejpam-3075	87	2	10	CARDINAL
ejpam-3075	87	3	4	CARDINAL
ejpam-3075	87	4	2017	CARDINAL
ejpam-3075	87	5	614	CARDINAL
ejpam-3075	87	6	1	CARDINAL
ejpam-3075	87	7	1 2	CARDINAL
ejpam-3075	90	1	1 2	CARDINAL
ejpam-3075	90	2	1f1	CARDINAL
ejpam-3075	90	3	1 2	CARDINAL
ejpam-3075	90	4	1	CARDINAL
ejpam-3075	90	5	1 2 n	QUANTITY
ejpam-3075	90	6	1 2	CARDINAL
ejpam-3075	90	7	1	CARDINAL
ejpam-3075	90	8	1 2	CARDINAL
ejpam-3075	91	1	24	CARDINAL
ejpam-3075	91	2	gupta	GPE
ejpam-3075	92	1	3	CARDINAL
ejpam-3075	96	1	exp{−tr(z1 +	WORK_OF_ART
ejpam-3075	96	2	0f1	CARDINAL
ejpam-3075	96	3	1 2 n	QUANTITY
ejpam-3075	96	4	0f1	CARDINAL
ejpam-3075	96	5	1 2	CARDINAL
ejpam-3075	96	6	25	CARDINAL
ejpam-3075	98	1	1 2	CARDINAL
ejpam-3075	98	2	1 2	CARDINAL
ejpam-3075	98	3	1 2	CARDINAL
ejpam-3075	98	4	1f1(1 2(n+	CARDINAL
ejpam-3075	98	5	1 2n	CARDINAL
ejpam-3075	98	6	1 2	CARDINAL
ejpam-3075	98	7	1 2	CARDINAL
ejpam-3075	98	8	n−p−1)|i	ORG
ejpam-3075	98	9	1 2	CARDINAL
ejpam-3075	98	10	q−p−1){bp(1 2n	DATE
ejpam-3075	98	11	1 2q	CARDINAL
ejpam-3075	98	12	2f1	MONEY
ejpam-3075	98	13	1 2	CARDINAL
ejpam-3075	98	14	2	CARDINAL
ejpam-3075	98	15	1 2	CARDINAL
ejpam-3075	98	16	1 2 n	QUANTITY
ejpam-3075	99	1	26	CARDINAL
ejpam-3075	99	2	15	CARDINAL
ejpam-3075	99	3	25	CARDINAL
ejpam-3075	99	4	1)δ1−	CARDINAL
ejpam-3075	100	1	4.	CARDINAL
ejpam-3075	100	2	15	CARDINAL
ejpam-3075	101	1	2tn	ORDINAL
ejpam-3075	101	2	27	CARDINAL
ejpam-3075	103	1	2tn	ORDINAL
ejpam-3075	103	2	4	CARDINAL
ejpam-3075	103	3	2	CARDINAL
ejpam-3075	103	4	1f1((n− 1)h;nh	DATE
ejpam-3075	104	1	29	CARDINAL
ejpam-3075	104	2	28	CARDINAL
ejpam-3075	104	3	29	CARDINAL
ejpam-3075	105	1	619 5	DATE
ejpam-3075	106	1	hcgqfmbd the hcgqfmbd of p× p	ORG
ejpam-3075	107	1	2qt)}−1|m	CARDINAL
ejpam-3075	107	2	2	CARDINAL
ejpam-3075	107	3	2t(n+	ORG
ejpam-3075	107	4	2tn	ORDINAL
ejpam-3075	107	5	δ−4pt 1	WORK_OF_ART
ejpam-3075	108	1	2qt)}−1|∆|4pt(δ1)2pt(n−q+2)|	CARDINAL
ejpam-3075	108	2	2	CARDINAL
ejpam-3075	108	3	2t(n+	ORG
ejpam-3075	108	4	2tn	ORDINAL
ejpam-3075	108	5	δ−4pt 1	EVENT
ejpam-3075	108	6	2	CARDINAL
ejpam-3075	110	1	2);h(n+	CARDINAL
ejpam-3075	112	1	h)|∆|−2hp(δ1)−hp(n−q+2	GPE
ejpam-3075	112	2	30	CARDINAL
ejpam-3075	112	3	29	CARDINAL
ejpam-3075	112	4	30	CARDINAL
ejpam-3075	113	1	1	CARDINAL
ejpam-3075	113	2	richard	PERSON
ejpam-3075	113	3	richards	PERSON
ejpam-3075	113	4	donald.	PERSON
ejpam-3075	114	1	1989	DATE
ejpam-3075	114	2	second	ORDINAL
ejpam-3075	115	1	karlin	PERSON
ejpam-3075	115	2	new york	GPE
ejpam-3075	116	1	2	CARDINAL
ejpam-3075	116	2	gupta	GPE
ejpam-3075	116	3	a.k.	GPE
ejpam-3075	116	4	d.g.	GPE
ejpam-3075	116	5	2005	DATE
ejpam-3075	118	1	13	CARDINAL
ejpam-3075	118	2	11	CARDINAL
ejpam-3075	119	1	3	CARDINAL
ejpam-3075	119	2	a.k.	GPE
ejpam-3075	119	3	d.g.	GPE
ejpam-3075	119	4	2007	DATE
ejpam-3075	121	1	j. appli	PERSON
ejpam-3075	123	1	1,21-25	DATE
ejpam-3075	124	1	4	CARDINAL
ejpam-3075	124	2	gupta	GPE
ejpam-3075	124	3	a.k.	GPE
ejpam-3075	124	4	d.g.	GPE
ejpam-3075	124	5	2008	DATE
ejpam-3075	125	1	eu	PERSON
ejpam-3075	125	2	j. pure	PERSON
ejpam-3075	125	3	appli	ORG
ejpam-3075	126	1	1,197	CARDINAL
ejpam-3075	127	1	5	CARDINAL
ejpam-3075	127	2	gupta	GPE
ejpam-3075	127	3	a.k.	GPE
ejpam-3075	127	4	nagar	GPE
ejpam-3075	127	5	d.k.	GPE
ejpam-3075	127	6	2007	DATE
ejpam-3075	127	7	6	CARDINAL
ejpam-3075	127	8	d.g.	GPE
ejpam-3075	127	9	1984	DATE
ejpam-3075	129	1	metrika	PERSON
ejpam-3075	130	1	31	CARDINAL
ejpam-3075	130	2	63	CARDINAL
ejpam-3075	131	1	7	CARDINAL
ejpam-3075	131	2	mathai	PERSON
ejpam-3075	131	3	hayakawa	ORG
ejpam-3075	131	4	t.	GPE
ejpam-3075	131	5	s.b.	GPE
ejpam-3075	131	6	1995	DATE
ejpam-3075	133	1	new york	GPE
ejpam-3075	134	1	8	CARDINAL
ejpam-3075	134	2	mathai	PERSON
ejpam-3075	134	3	1997	DATE
ejpam-3075	135	1	jacobians	NORP
ejpam-3075	136	1	london	GPE
ejpam-3075	136	2	england	GPE