id	sid	eid	entity	type
ejpam-1889	1	1	european journal	ORG
ejpam-1889	2	1	7	CARDINAL
ejpam-1889	2	2	2, 2014	DATE
ejpam-1889	2	3	140	CARDINAL
ejpam-1889	2	4	affine	NORP
ejpam-1889	2	5	1	CARDINAL
ejpam-1889	2	6	dennis i. barrett	PERSON
ejpam-1889	2	7	rory biggs	PERSON
ejpam-1889	2	8	claudiu c. remsing∗	PERSON
ejpam-1889	2	9	rhodes university	ORG
ejpam-1889	2	10	6140	DATE
ejpam-1889	2	11	south africa	GPE
ejpam-1889	4	1	affine subspaces	PERSON
ejpam-1889	4	2	1	CARDINAL
ejpam-1889	5	1	invariant control	ORG
ejpam-1889	5	2	affine	ORG
ejpam-1889	7	1	2010	DATE
ejpam-1889	7	2	22e60	CARDINAL
ejpam-1889	7	3	93b27	CARDINAL
ejpam-1889	7	4	affine subspace	ORG
ejpam-1889	7	5	1	CARDINAL
ejpam-1889	11	1	11	CARDINAL
ejpam-1889	11	2	16	CARDINAL
ejpam-1889	13	1	g ∈	PERSON
ejpam-1889	13	2	∈	ORG
ejpam-1889	14	1	1	CARDINAL
ejpam-1889	16	1	3	CARDINAL
ejpam-1889	16	2	8	DATE
ejpam-1889	16	3	10	CARDINAL
ejpam-1889	17	1	two	CARDINAL
ejpam-1889	17	2	affine systems	ORG
ejpam-1889	18	1	9	CARDINAL
ejpam-1889	18	2	15	CARDINAL
ejpam-1889	19	1	one	CARDINAL
ejpam-1889	20	1	two	CARDINAL
ejpam-1889	20	2	one	CARDINAL
ejpam-1889	22	1	d. barrett	PERSON
ejpam-1889	22	2	rorybiggs@gmail.com	ORG
ejpam-1889	22	3	r. biggs	PERSON
ejpam-1889	23	1	140	CARDINAL
ejpam-1889	23	2	2014	DATE
ejpam-1889	24	1	d. barrett	PERSON
ejpam-1889	24	2	r. biggs	PERSON
ejpam-1889	25	1	j. pure	PERSON
ejpam-1889	25	2	7 (2014	DATE
ejpam-1889	25	3	140	CARDINAL
ejpam-1889	26	1	two	CARDINAL
ejpam-1889	26	2	4	CARDINAL
ejpam-1889	27	1	two	CARDINAL
ejpam-1889	30	1	affine subspaces	PERSON
ejpam-1889	31	1	1	CARDINAL
ejpam-1889	31	2	affine subspace	PERSON
ejpam-1889	31	3	7→	CARDINAL
ejpam-1889	32	1	affine subspace	PERSON
ejpam-1889	32	2	〈b1	PERSON
ejpam-1889	34	1	1	CARDINAL
ejpam-1889	34	2	2	CARDINAL
ejpam-1889	36	1	affine subspaces	PERSON
ejpam-1889	37	1	first	ORDINAL
ejpam-1889	38	1	affine	NORP
ejpam-1889	39	1	affine	ORG
ejpam-1889	42	1	2	CARDINAL
ejpam-1889	42	2	affine	ORG
ejpam-1889	42	3	〈b1	PERSON
ejpam-1889	44	1	2	CARDINAL
ejpam-1889	48	1	∈	ORG
ejpam-1889	49	1	1)-affine	CARDINAL
ejpam-1889	50	1	two	CARDINAL
ejpam-1889	50	2	γ′.	DATE
ejpam-1889	50	3	a′	ORG
ejpam-1889	50	4	γ′.	DATE
ejpam-1889	50	5	affine subspace	PERSON
ejpam-1889	50	6	affine	ORG
ejpam-1889	51	1	affine subspace	PERSON
ejpam-1889	53	1	u`	ORG
ejpam-1889	53	2	7→	CARDINAL
ejpam-1889	58	1	two	CARDINAL
ejpam-1889	58	2	affine subspaces π	ORG
ejpam-1889	58	3	π′	DATE
ejpam-1889	59	1	π′	DATE
ejpam-1889	60	1	u`b ′	WORK_OF_ART
ejpam-1889	63	1	affine subspace	ORG
ejpam-1889	65	1	affine subspace	PERSON
ejpam-1889	68	1	affine subspaces	PERSON
ejpam-1889	69	1	d. barrett	PERSON
ejpam-1889	69	2	r. biggs	PERSON
ejpam-1889	70	1	j. pure	PERSON
ejpam-1889	70	2	7 (2014	DATE
ejpam-1889	70	3	140	CARDINAL
ejpam-1889	71	1	three	CARDINAL
ejpam-1889	71	2	1	CARDINAL
ejpam-1889	75	1	x3 ∈	ORG
ejpam-1889	75	2		LAW
ejpam-1889	75	3	 0	PERSON
ejpam-1889	76	1	0	CARDINAL
ejpam-1889	76	2	 0 0	PERSON
ejpam-1889	76	3	 0 0	PERSON
ejpam-1889	76	4	1	CARDINAL
ejpam-1889	78	1	0	CARDINAL
ejpam-1889	81	1	−1	DATE
ejpam-1889	81	2	1	CARDINAL
ejpam-1889	81	3	bianchi-behr	ORG
ejpam-1889	82	1	12–14	CARDINAL
ejpam-1889	83	1	automorphisms aut	ORG
ejpam-1889	83	2	se(1	ORG
ejpam-1889	83	3	1	CARDINAL
ejpam-1889	83	4	 x	PERSON
ejpam-1889	84	1	0	CARDINAL
ejpam-1889	84	2	∈	ORG
ejpam-1889	84	3	∈	ORG
ejpam-1889	84	4	−1	CARDINAL
ejpam-1889	84	5	1	CARDINAL
ejpam-1889	85	1	y2 	PRODUCT
ejpam-1889	89	1	affine subspaces	PERSON
ejpam-1889	89	2	1	CARDINAL
ejpam-1889	91	1	first	ORDINAL
ejpam-1889	91	2	affine	NORP
ejpam-1889	91	3	four	CARDINAL
ejpam-1889	91	4	affine	NORP
ejpam-1889	94	1	affine subspace	PERSON
ejpam-1889	96	1	0	CARDINAL
ejpam-1889	96	2	∈	ORG
ejpam-1889	96	3	r.	NORP
ejpam-1889	97	1	three	CARDINAL
ejpam-1889	97	2	2	CARDINAL
ejpam-1889	98	1	1	CARDINAL
ejpam-1889	99	1	1,1)-affine	CARDINAL
ejpam-1889	100	1	2,0)-affine	CARDINAL
ejpam-1889	100	2	subspace	ORG
ejpam-1889	102	1	2,1)-affine	CARDINAL
ejpam-1889	102	2	3	CARDINAL
ejpam-1889	103	1	d. barrett	PERSON
ejpam-1889	103	2	r. biggs	PERSON
ejpam-1889	104	1	j. pure	PERSON
ejpam-1889	104	2	7 (2014	DATE
ejpam-1889	104	3	140	CARDINAL
ejpam-1889	104	4	3.1	CARDINAL
ejpam-1889	104	5	affine	ORG
ejpam-1889	105	1	7	CARDINAL
ejpam-1889	108	1	1	CARDINAL
ejpam-1889	109	1	1	CARDINAL
ejpam-1889	109	2	1)-affine	CARDINAL
ejpam-1889	109	3	affine subspaces ¨ γ(1,1	ORG
ejpam-1889	109	4	1	CARDINAL
ejpam-1889	109	5	0	CARDINAL
ejpam-1889	109	6	6=	CARDINAL
ejpam-1889	109	7	2,α	CARDINAL
ejpam-1889	109	8	0	CARDINAL
ejpam-1889	110	1	0	CARDINAL
ejpam-1889	112	1	0	CARDINAL
ejpam-1889	112	2	6=	CARDINAL
ejpam-1889	112	3	0	CARDINAL
ejpam-1889	113	1	γ =	GPE
ejpam-1889	113	2	 a1 a2	PERSON
ejpam-1889	113	3	1−a2 2	CARDINAL
ejpam-1889	113	4	1−a2 2	DATE
ejpam-1889	113	5	1−a2 2 a1 a2	DATE
ejpam-1889	113	6	1−a2 2	DATE
ejpam-1889	113	7	  	ORG
ejpam-1889	113	8	0 1	QUANTITY
ejpam-1889	113	9	1,1	CARDINAL
ejpam-1889	113	10	1	CARDINAL
ejpam-1889	113	11	γ	GPE
ejpam-1889	113	12	1 6=	CARDINAL
ejpam-1889	113	13	2	CARDINAL
ejpam-1889	114	1	γ	GPE
ejpam-1889	114	2	1	CARDINAL
ejpam-1889	115	1	0	CARDINAL
ejpam-1889	116	1	γ =	GPE
ejpam-1889	117	1	〈b1e1 + b2e2	PERSON
ejpam-1889	117	2	1−b2 2	CARDINAL
ejpam-1889	117	3	1−b2 2	CARDINAL
ejpam-1889	117	4	1−b2 2	CARDINAL
ejpam-1889	117	5	1−b2 2	CARDINAL
ejpam-1889	117	6	0	CARDINAL
ejpam-1889	117	7	1,1	CARDINAL
ejpam-1889	117	8	2,α	CARDINAL
ejpam-1889	117	9	0	CARDINAL
ejpam-1889	118	1	1 6=	CARDINAL
ejpam-1889	118	2	2	CARDINAL
ejpam-1889	119	1	γ(1,1	GPE
ejpam-1889	119	2	2,α	CARDINAL
ejpam-1889	120	1	〈e1	PERSON
ejpam-1889	120	2	1	CARDINAL
ejpam-1889	120	3	γ(1,1	GPE
ejpam-1889	120	4	2,α	CARDINAL
ejpam-1889	121	1	γ(1,1	GPE
ejpam-1889	121	2	2,α and γ(1,1	GPE
ejpam-1889	121	3	2,α′	CARDINAL
ejpam-1889	121	4	α′.	ORG
ejpam-1889	121	5	2	CARDINAL
ejpam-1889	121	6	0)-affine subspace	PERSON
ejpam-1889	121	7	1,1)-affine	CARDINAL
ejpam-1889	121	8	γ(1,1	GPE
ejpam-1889	121	9	1 or γ(1,1	DATE
ejpam-1889	121	10	2,α	CARDINAL
ejpam-1889	122	1	γ	GPE
ejpam-1889	122	2	1	CARDINAL
ejpam-1889	122	3	2,α	CARDINAL
ejpam-1889	123	1	2	CARDINAL
ejpam-1889	124	1	1	CARDINAL
ejpam-1889	125	1	2,0)-affine	CARDINAL
ejpam-1889	125	2	subspace	ORG
ejpam-1889	126	1	2	CARDINAL
ejpam-1889	127	1	2	CARDINAL
ejpam-1889	127	2	1)-affine	CARDINAL
ejpam-1889	127	3	affine subspaces 	ORG
ejpam-1889	127	4	1	CARDINAL
ejpam-1889	127	5	0	CARDINAL
ejpam-1889	127	6	6=	CARDINAL
ejpam-1889	127	7	0	CARDINAL
ejpam-1889	129	1	2	CARDINAL
ejpam-1889	129	2	0	CARDINAL
ejpam-1889	130	1	6=	CARDINAL
ejpam-1889	130	2	0	CARDINAL
ejpam-1889	130	3	3,α	CARDINAL
ejpam-1889	130	4	0	CARDINAL
ejpam-1889	131	1	0	CARDINAL
ejpam-1889	132	1	d. barrett	PERSON
ejpam-1889	132	2	r. biggs	PERSON
ejpam-1889	133	1	j. pure	PERSON
ejpam-1889	133	2	7 (2014	DATE
ejpam-1889	133	3	140	CARDINAL
ejpam-1889	133	4	0	CARDINAL
ejpam-1889	133	5	6=	CARDINAL
ejpam-1889	133	6	0	CARDINAL
ejpam-1889	135	1	γ =	GPE
ejpam-1889	135	2	1 6=	CARDINAL
ejpam-1889	135	3	2	CARDINAL
ejpam-1889	135	4	 1 0	PERSON
ejpam-1889	135	5	6=	DATE
ejpam-1889	135	6	0	CARDINAL
ejpam-1889	136	1	1−b2 2	CARDINAL
ejpam-1889	136	2	0	CARDINAL
ejpam-1889	136	3	1−b2 2	CARDINAL
ejpam-1889	136	4	0	CARDINAL
ejpam-1889	136	5	  	ORG
ejpam-1889	136	6	1−b2 2	CARDINAL
ejpam-1889	136	7	1−b2 2	CARDINAL
ejpam-1889	136	8	1−b2 2	CARDINAL
ejpam-1889	136	9	1−b2	CARDINAL
ejpam-1889	136	10	 	ORG
ejpam-1889	136	11	1	CARDINAL
ejpam-1889	136	12	2	CARDINAL
ejpam-1889	136	13	2,1	CARDINAL
ejpam-1889	136	14	1	CARDINAL
ejpam-1889	137	1	γ	GPE
ejpam-1889	137	2	1	CARDINAL
ejpam-1889	138	1	0	CARDINAL
ejpam-1889	138	2	6=	CARDINAL
ejpam-1889	138	3	0	CARDINAL
ejpam-1889	139	1	γ =	GPE
ejpam-1889	139	2	0 1	QUANTITY
ejpam-1889	139	3	a1 ∓ a2	PERSON
ejpam-1889	139	4	0	CARDINAL
ejpam-1889	140	1	 a1 a2	PERSON
ejpam-1889	140	2	1−a2 2	CARDINAL
ejpam-1889	140	3	1−a2 2	DATE
ejpam-1889	140	4	1−a2 2 ± a1	DATE
ejpam-1889	140	5	1−a2 2	DATE
ejpam-1889	141	1	a1 ∓ a2	PERSON
ejpam-1889	141	2	1	CARDINAL
ejpam-1889	141	3	2	CARDINAL
ejpam-1889	141	4	2,1	CARDINAL
ejpam-1889	141	5	2	CARDINAL
ejpam-1889	142	1	γ	GPE
ejpam-1889	142	2	2	CARDINAL
ejpam-1889	143	1	0	CARDINAL
ejpam-1889	144	1	0	CARDINAL
ejpam-1889	144	2	2,1	CARDINAL
ejpam-1889	144	3	3,α	CARDINAL
ejpam-1889	144	4	d. barrett	PERSON
ejpam-1889	144	5	r. biggs	PERSON
ejpam-1889	145	1	j. pure	PERSON
ejpam-1889	145	2	7 (2014	DATE
ejpam-1889	145	3	140	CARDINAL
ejpam-1889	145	4	0	CARDINAL
ejpam-1889	147	1	〈e1	PERSON
ejpam-1889	148	1	α′.	ORG
ejpam-1889	149	1	only one	CARDINAL
ejpam-1889	149	2	3,0)-affine	CARDINAL
ejpam-1889	149	3	1	CARDINAL
ejpam-1889	150	1	3.2	CARDINAL
ejpam-1889	151	1	affine subspaces	PERSON
ejpam-1889	151	2	3 ∑	QUANTITY
ejpam-1889	151	3	3 ∑	QUANTITY
ejpam-1889	151	4	i=1 bi ei	PERSON
ejpam-1889	152	1	i=1 ci ei	PERSON
ejpam-1889	153	1	i=1 di ei	PERSON
ejpam-1889	153	2	 a1 b1 c1 d1 a2	PERSON
ejpam-1889	155	1	1	CARDINAL
ejpam-1889	156	1	3	CARDINAL
ejpam-1889	157	1	1	CARDINAL
ejpam-1889	157	2	1)-affine	CARDINAL
ejpam-1889	158	1	1	CARDINAL
ejpam-1889	158	2	affine subspaces π(1,1	ORG
ejpam-1889	158	3	1,α	DATE
ejpam-1889	159	1	γ(1,1	GPE
ejpam-1889	159	2	2,α	CARDINAL
ejpam-1889	159	3	affine subspaces π(1,1	ORG
ejpam-1889	159	4	2,α	CARDINAL
ejpam-1889	160	1	0	CARDINAL
ejpam-1889	163	1	i=1	NORP
ejpam-1889	164	1	1	CARDINAL
ejpam-1889	164	2	γ	GPE
ejpam-1889	164	3	1	CARDINAL
ejpam-1889	164	4	2,α	CARDINAL
ejpam-1889	165	1	1	CARDINAL
ejpam-1889	166	1	0	CARDINAL
ejpam-1889	166	2	0	CARDINAL
ejpam-1889	167	1	 a1 b1 a2	PERSON
ejpam-1889	167	2	b3 	GPE
ejpam-1889	167	3	 a′1 0	PERSON
ejpam-1889	168	1	0	CARDINAL
ejpam-1889	168	2		ORG
ejpam-1889	168	3	d. barrett	PERSON
ejpam-1889	168	4	r. biggs	PERSON
ejpam-1889	169	1	j. pure	PERSON
ejpam-1889	169	2	7 (2014	DATE
ejpam-1889	169	3	140	CARDINAL
ejpam-1889	169	4	a′2	ORG
ejpam-1889	169	5	∈	ORG
ejpam-1889	170	1	γ	GPE
ejpam-1889	170	2	1	CARDINAL
ejpam-1889	170	3	0	CARDINAL
ejpam-1889	170	4	6=	CARDINAL
ejpam-1889	171	1	2 6=	CARDINAL
ejpam-1889	171	2	2	CARDINAL
ejpam-1889	171	3	 a′1	PERSON
ejpam-1889	171	4	2−(a′2)2	CARDINAL
ejpam-1889	171	5	2−(a′2)2	CARDINAL
ejpam-1889	171	6	2−(a′2)2	CARDINAL
ejpam-1889	171	7	a′1	PERSON
ejpam-1889	171	8	2−(a′2)2	CARDINAL
ejpam-1889	171	9	1	CARDINAL
ejpam-1889	171	10	    	ORG
ejpam-1889	171	11	 a′1 0	PERSON
ejpam-1889	172	1	0	CARDINAL
ejpam-1889	172	2	|b3|  = 	GPE
ejpam-1889	172	3	0	CARDINAL
ejpam-1889	172	4	r.	NORP
ejpam-1889	172	5	π(1,1	LOC
ejpam-1889	172	6	1,α	DATE
ejpam-1889	172	7	γ	GPE
ejpam-1889	172	8	γ(1,1	GPE
ejpam-1889	172	9	2,α	CARDINAL
ejpam-1889	173	1	0	CARDINAL
ejpam-1889	173	2	1 6=	CARDINAL
ejpam-1889	173	3	2	CARDINAL
ejpam-1889	174	1	 a1 b1 a2	PERSON
ejpam-1889	174	2	0	CARDINAL
ejpam-1889	175	1	 0	ORG
ejpam-1889	175	2	0	CARDINAL
ejpam-1889	177	1	1−b2 2	CARDINAL
ejpam-1889	177	2	1−b2	CARDINAL
ejpam-1889	177	3	1−b2 2	CARDINAL
ejpam-1889	177	4	1−b2	CARDINAL
ejpam-1889	177	5	  	ORG
ejpam-1889	177	6	 0	ORG
ejpam-1889	177	7	0	CARDINAL
ejpam-1889	177	8	0	CARDINAL
ejpam-1889	178	1	0 1	CARDINAL
ejpam-1889	179	1	0	CARDINAL
ejpam-1889	180	1	2,α	CARDINAL
ejpam-1889	181	1	1, γ(1,1	PERCENT
ejpam-1889	181	2	1	CARDINAL
ejpam-1889	181	3	2,α	CARDINAL
ejpam-1889	182	1	π(1,1	EVENT
ejpam-1889	182	2	1,α	DATE
ejpam-1889	182	3	γ	GPE
ejpam-1889	182	4	2,α	CARDINAL
ejpam-1889	183	1	∈	ORG
ejpam-1889	183	2	1	CARDINAL
ejpam-1889	183	3	1,α	DATE
ejpam-1889	183	4	γ = π	ORG
ejpam-1889	183	5	1,1	CARDINAL
ejpam-1889	183	6	1,α′,γ′	CARDINAL
ejpam-1889	184	1	 x	PERSON
ejpam-1889	185	1	0	CARDINAL
ejpam-1889	186	1	6=	CARDINAL
ejpam-1889	186	2	1	CARDINAL
ejpam-1889	186	3	γ′.	DATE
ejpam-1889	187	1	2,α	CARDINAL
ejpam-1889	187	2	1,1	CARDINAL
ejpam-1889	187	3	2,α′	CARDINAL
ejpam-1889	187	4	0	CARDINAL
ejpam-1889	187	5	0 1	CARDINAL
ejpam-1889	187	6	0	CARDINAL
ejpam-1889	187	7	α′.	ORG
ejpam-1889	187	8	2,0)-affine	CARDINAL
ejpam-1889	187	9	7→	CARDINAL
ejpam-1889	187	10	1,1)-affine	CARDINAL
ejpam-1889	187	11	π(1,1	LOC
ejpam-1889	187	12	1,α	DATE
ejpam-1889	187	13	2,α	CARDINAL
ejpam-1889	188	1	2,0)-affine	CARDINAL
ejpam-1889	189	1	parametrize γ(2,0	ORG
ejpam-1889	190	1	d. barrett	PERSON
ejpam-1889	190	2	r. biggs	PERSON
ejpam-1889	191	1	j. pure	PERSON
ejpam-1889	191	2	7 (2014	DATE
ejpam-1889	191	3	140	CARDINAL
ejpam-1889	191	4	155 147	CARDINAL
ejpam-1889	191	5	2	CARDINAL
ejpam-1889	195	1	i=1 ci	PERSON
ejpam-1889	196	1	2	CARDINAL
ejpam-1889	197	1	affine subspaces (	ORG
ejpam-1889	198	1	6=	DATE
ejpam-1889	198	2	2,α	CARDINAL
ejpam-1889	202	1	2	CARDINAL
ejpam-1889	203	1	1	CARDINAL
ejpam-1889	204	1	i=1 x	PERSON
ejpam-1889	206	1	−1	CARDINAL
ejpam-1889	206	2	1	CARDINAL
ejpam-1889	207	1	∈	ORG
ejpam-1889	207	2	1	CARDINAL
ejpam-1889	208	1	 x	PERSON
ejpam-1889	208	2	 1 0 σy3  	PERSON
ejpam-1889	208	3	 0 0 σz3  	PERSON
ejpam-1889	208	4	∈	ORG
ejpam-1889	208	5	1	CARDINAL
ejpam-1889	209	1	 x	PERSON
ejpam-1889	209	2	 1 %	PERCENT
ejpam-1889	209	3	 0 0	PERSON
ejpam-1889	211	1	2	CARDINAL
ejpam-1889	211	2	∈	ORG
ejpam-1889	211	3	1	CARDINAL
ejpam-1889	211	4	 1 −σ	PERSON
ejpam-1889	211	5	σ%x3  	PERSON
ejpam-1889	211	6	 1 σ σ%	PERSON
ejpam-1889	211	7	 0 0	PERSON
ejpam-1889	214	1	 y1 y2 1−y2 2	FAC
ejpam-1889	215	1	1−y2 2	DATE
ejpam-1889	215	2	1−y2 2 σy1 y2 1−y2 2	DATE
ejpam-1889	215	3	 x1	PERSON
ejpam-1889	218	1	z3  =	GPE
ejpam-1889	218	2	 x	PERSON
ejpam-1889	218	3	σy3 σz3  	PERSON
ejpam-1889	220	1	0	CARDINAL
ejpam-1889	222	1	1−x2	CARDINAL
ejpam-1889	223	1	1−x2	CARDINAL
ejpam-1889	223	2	2 ± x1	QUANTITY
ejpam-1889	224	1	1−x2	CARDINAL
ejpam-1889	227	1	x3 y3 z3  = 	PERSON
ejpam-1889	227	2	 1	FAC
ejpam-1889	227	3	d. barrett	PERSON
ejpam-1889	227	4	r. biggs	PERSON
ejpam-1889	228	1	j. pure	PERSON
ejpam-1889	228	2	7 (2014	DATE
ejpam-1889	228	3	140	CARDINAL
ejpam-1889	228	4	0	CARDINAL
ejpam-1889	228	5	0	CARDINAL
ejpam-1889	228	6	0	CARDINAL
ejpam-1889	229	1	±z3 	PERSON
ejpam-1889	229	2	1	CARDINAL
ejpam-1889	229	3	0 %	PERCENT
ejpam-1889	229	4	σy3 σz3 	PERSON
ejpam-1889	229	5	±1	PERSON
ejpam-1889	230	1	two	CARDINAL
ejpam-1889	231	1	2	CARDINAL
ejpam-1889	233	1	x0	ORG
ejpam-1889	234	1	6=	DATE
ejpam-1889	234	2	0	CARDINAL
ejpam-1889	238	1	∓x0	PERSON
ejpam-1889	239	1	1	CARDINAL
ejpam-1889	239	2	0 ± 1	MONEY
ejpam-1889	239	3	 x0	PERSON
ejpam-1889	240	1	∓x0	PERSON
ejpam-1889	240	2	x3 y3 z3  =	PERSON
ejpam-1889	241	1	 x	PERSON
ejpam-1889	241	2	1	CARDINAL
ejpam-1889	242	1	2x	CARDINAL
ejpam-1889	242	2	2x	CARDINAL
ejpam-1889	242	3	σ(x	ORG
ejpam-1889	242	4	2x	CARDINAL
ejpam-1889	243	1	0	CARDINAL
ejpam-1889	243	2	  	ORG
ejpam-1889	243	3	 x	PERSON
ejpam-1889	243	4	1	CARDINAL
ejpam-1889	243	5	±z3 	PERSON
ejpam-1889	244	1	4	CARDINAL
ejpam-1889	248	1	i=1 ci	PERSON
ejpam-1889	249	1	2	CARDINAL
ejpam-1889	249	2	1)affine	CARDINAL
ejpam-1889	249	3	subspace γ.	ORG
ejpam-1889	250	1	1	CARDINAL
ejpam-1889	250	2	affine subspaces	ORG
ejpam-1889	251	1	6=	CARDINAL
ejpam-1889	251	2	0 π(2,1	GPE
ejpam-1889	251	3	2,α	CARDINAL
ejpam-1889	252	1	0	CARDINAL
ejpam-1889	252	2	2	CARDINAL
ejpam-1889	252	3	affine subspaces 	ORG
ejpam-1889	252	4	3,β	DATE
ejpam-1889	253	1	a1c3−a3c1 c3 �	PERSON
ejpam-1889	253	2	2 6=	CARDINAL
ejpam-1889	253	3	2	CARDINAL
ejpam-1889	253	4	4,β	CARDINAL
ejpam-1889	254	1	a1c3−a3c1 c3 �2	PERSON
ejpam-1889	254	2	2	CARDINAL
ejpam-1889	254	3	5,β	CARDINAL
ejpam-1889	254	4	2 6=	CARDINAL
ejpam-1889	254	5	2	CARDINAL
ejpam-1889	254	6	6,β	CARDINAL
ejpam-1889	255	1	2	CARDINAL
ejpam-1889	255	2	2	CARDINAL
ejpam-1889	256	1	affine subspaces 	ORG
ejpam-1889	256	2	7,α	CARDINAL
ejpam-1889	258	1	1 6=	CARDINAL
ejpam-1889	258	2	2	CARDINAL
ejpam-1889	258	3	8,β	CARDINAL
ejpam-1889	259	1	1	CARDINAL
ejpam-1889	259	2	2	CARDINAL
ejpam-1889	259	3	1 6=	CARDINAL
ejpam-1889	259	4	2	CARDINAL
ejpam-1889	259	5	9,β	CARDINAL
ejpam-1889	260	1	1	CARDINAL
ejpam-1889	260	2	2	CARDINAL
ejpam-1889	260	3	1	CARDINAL
ejpam-1889	260	4	2	CARDINAL
ejpam-1889	260	5	d. barrett	PERSON
ejpam-1889	260	6	r. biggs	PERSON
ejpam-1889	261	1	j. pure	PERSON
ejpam-1889	261	2	7 (2014	DATE
ejpam-1889	261	3	140	CARDINAL
ejpam-1889	261	4	0	CARDINAL
ejpam-1889	262	1	∈	ORG
ejpam-1889	264	1	2	CARDINAL
ejpam-1889	264	2	1	CARDINAL
ejpam-1889	264	3	2	CARDINAL
ejpam-1889	266	1	affine subspace ∑3	ORG
ejpam-1889	266	2	i=1 bi ei+	GPE
ejpam-1889	267	1	i=1 ci ei �	PERSON
ejpam-1889	267	2	affine subspace	ORG
ejpam-1889	268	1	i=1 ci ei	PERSON
ejpam-1889	268	2	π(1,1	LOC
ejpam-1889	268	3	1,α	DATE
ejpam-1889	268	4	2,α	CARDINAL
ejpam-1889	268	5	3	CARDINAL
ejpam-1889	269	1	π(2,1	GPE
ejpam-1889	269	2	6=	CARDINAL
ejpam-1889	270	1	π(2,1	GPE
ejpam-1889	270	2	2,α	CARDINAL
ejpam-1889	270	3	0	CARDINAL
ejpam-1889	271	1	0	CARDINAL
ejpam-1889	272	1	0	CARDINAL
ejpam-1889	272	2	0	CARDINAL
ejpam-1889	273	1	0	CARDINAL
ejpam-1889	274	1	0	CARDINAL
ejpam-1889	274	2	 a1 b1 c1 a2	PERSON
ejpam-1889	274	3	b3 c3  =	PERSON
ejpam-1889	274	4	 a′1	PERSON
ejpam-1889	274	5	0	CARDINAL
ejpam-1889	274	6	b3 c3  	PERSON
ejpam-1889	274	7	a1c3−a3c1 c3	PERSON
ejpam-1889	274	8	c3	PERSON
ejpam-1889	274	9	γ	GPE
ejpam-1889	274	10	2	CARDINAL
ejpam-1889	274	11	2	CARDINAL
ejpam-1889	274	12	2	CARDINAL
ejpam-1889	274	13	2 6=	CARDINAL
ejpam-1889	274	14	2	CARDINAL
ejpam-1889	275	1	∈	ORG
ejpam-1889	275	2	1	CARDINAL
ejpam-1889	275	3	 a′1	PERSON
ejpam-1889	275	4	0	CARDINAL
ejpam-1889	275	5	b3 c3  = 	PERSON
ejpam-1889	275	6	1	CARDINAL
ejpam-1889	275	7	∈	ORG
ejpam-1889	275	8	r.	NORP
ejpam-1889	275	9	3,β	DATE
ejpam-1889	275	10	γ	GPE
ejpam-1889	275	11	2	CARDINAL
ejpam-1889	275	12	2	CARDINAL
ejpam-1889	275	13	∈	ORG
ejpam-1889	275	14	 a′1	PERSON
ejpam-1889	275	15	0	CARDINAL
ejpam-1889	275	16	b3 c3  = 	PERSON
ejpam-1889	276	1	1 1	CARDINAL
ejpam-1889	276	2	∈	ORG
ejpam-1889	276	3	r.	NORP
ejpam-1889	276	4	π(2,1	GPE
ejpam-1889	276	5	4,β	CARDINAL
ejpam-1889	276	6	γ	GPE
ejpam-1889	276	7	0	CARDINAL
ejpam-1889	276	8	0 1	CARDINAL
ejpam-1889	276	9	0	CARDINAL
ejpam-1889	276	10	  	ORG
ejpam-1889	276	11	 a1 b1 c1 a2	PERSON
ejpam-1889	276	12	0	CARDINAL
ejpam-1889	276	13	 a′1 0	PERSON
ejpam-1889	277	1	0	CARDINAL
ejpam-1889	277	2		ORG
ejpam-1889	277	3	d. barrett	PERSON
ejpam-1889	277	4	r. biggs	PERSON
ejpam-1889	278	1	j. pure	PERSON
ejpam-1889	278	2	7 (2014	DATE
ejpam-1889	278	3	140	CARDINAL
ejpam-1889	278	4	b3−b1a3 b3	PERSON
ejpam-1889	278	5	r.	NORP
ejpam-1889	278	6	γ	GPE
ejpam-1889	278	7	2	CARDINAL
ejpam-1889	278	8	2	CARDINAL
ejpam-1889	278	9	2	CARDINAL
ejpam-1889	278	10	2 6=	CARDINAL
ejpam-1889	278	11	2	CARDINAL
ejpam-1889	278	12	∈	ORG
ejpam-1889	278	13	 a′1 0	PERSON
ejpam-1889	279	1	0	CARDINAL
ejpam-1889	279	2	0	CARDINAL
ejpam-1889	279	3	0	CARDINAL
ejpam-1889	279	4	∈	ORG
ejpam-1889	279	5	r.	NORP
ejpam-1889	279	6	π(2,1	GPE
ejpam-1889	279	7	5,β	DATE
ejpam-1889	279	8	γ	GPE
ejpam-1889	280	1	2	CARDINAL
ejpam-1889	280	2	2	CARDINAL
ejpam-1889	280	3	∈	ORG
ejpam-1889	280	4	1	CARDINAL
ejpam-1889	280	5	 a′1 0	PERSON
ejpam-1889	281	1	0	CARDINAL
ejpam-1889	281	2	0	CARDINAL
ejpam-1889	281	3	1	CARDINAL
ejpam-1889	281	4	1	CARDINAL
ejpam-1889	281	5	∈	ORG
ejpam-1889	281	6	r.	NORP
ejpam-1889	281	7	π(2,1	GPE
ejpam-1889	281	8	6,β	CARDINAL
ejpam-1889	281	9	γ	GPE
ejpam-1889	281	10	b3 = c3	PERSON
ejpam-1889	282	1	0	CARDINAL
ejpam-1889	282	2	 a1 b1 c1 a2	PERSON
ejpam-1889	282	3	0	CARDINAL
ejpam-1889	282	4	0	CARDINAL
ejpam-1889	282	5	 0	ORG
ejpam-1889	282	6	0	CARDINAL
ejpam-1889	282	7	0	CARDINAL
ejpam-1889	283	1	1 6=	CARDINAL
ejpam-1889	283	2	2	CARDINAL
ejpam-1889	284	1	+ c2e2	GPE
ejpam-1889	284	2	∈	ORG
ejpam-1889	284	3	1	CARDINAL
ejpam-1889	284	4	 0 b1	PERSON
ejpam-1889	284	5	0	CARDINAL
ejpam-1889	284	6	0	CARDINAL
ejpam-1889	284	7	0	CARDINAL
ejpam-1889	285	1	0	CARDINAL
ejpam-1889	285	2	0	CARDINAL
ejpam-1889	286	1	0	CARDINAL
ejpam-1889	287	1	0	CARDINAL
ejpam-1889	287	2	∈	ORG
ejpam-1889	287	3	r.	NORP
ejpam-1889	287	4	π(2,1	GPE
ejpam-1889	287	5	γ	GPE
ejpam-1889	287	6	1	CARDINAL
ejpam-1889	287	7	2	CARDINAL
ejpam-1889	287	8	1 6=	CARDINAL
ejpam-1889	287	9	2	CARDINAL
ejpam-1889	288	1	+ c2e2	GPE
ejpam-1889	288	2	∈	ORG
ejpam-1889	288	3	 0 b1	PERSON
ejpam-1889	288	4	0	CARDINAL
ejpam-1889	288	5	0	CARDINAL
ejpam-1889	288	6	0	CARDINAL
ejpam-1889	289	1	 0	PERSON
ejpam-1889	290	1	1	CARDINAL
ejpam-1889	290	2	0 1	DATE
ejpam-1889	290	3	0	CARDINAL
ejpam-1889	291	1	π(2,1	GPE
ejpam-1889	291	2	8,β	CARDINAL
ejpam-1889	292	1	1	CARDINAL
ejpam-1889	292	2	2	CARDINAL
ejpam-1889	292	3	1	CARDINAL
ejpam-1889	292	4	2	CARDINAL
ejpam-1889	293	1	+ c2e2	GPE
ejpam-1889	293	2	∈	ORG
ejpam-1889	293	3	 0 b1	PERSON
ejpam-1889	293	4	0	CARDINAL
ejpam-1889	293	5	0	CARDINAL
ejpam-1889	293	6	0	CARDINAL
ejpam-1889	294	1	0	CARDINAL
ejpam-1889	294	2	d. barrett	PERSON
ejpam-1889	294	3	r. biggs	PERSON
ejpam-1889	295	1	j. pure	PERSON
ejpam-1889	295	2	7 (2014	DATE
ejpam-1889	295	3	140	CARDINAL
ejpam-1889	295	4	0	CARDINAL
ejpam-1889	296	1	π(2,1	GPE
ejpam-1889	296	2	9,β	CARDINAL
ejpam-1889	297	1	2	CARDINAL
ejpam-1889	297	2	1)-affine	CARDINAL
ejpam-1889	298	1	two	CARDINAL
ejpam-1889	299	1	two	CARDINAL
ejpam-1889	300	1	3,0)-affine	CARDINAL
ejpam-1889	301	1	affine subspace bγ =	PERSON
ejpam-1889	302	1	2	CARDINAL
ejpam-1889	302	2	1)-affine	CARDINAL
ejpam-1889	302	3	one	CARDINAL
ejpam-1889	302	4	4	CARDINAL
ejpam-1889	302	5	3,0)-affine	CARDINAL
ejpam-1889	302	6	2	CARDINAL
ejpam-1889	302	7	2,1)-affine	CARDINAL
ejpam-1889	303	1	3	CARDINAL
ejpam-1889	304	1	letπ	ORG
ejpam-1889	306	1	i=1 ci ei+u3 ∑3	ORG
ejpam-1889	306	2	i=1 di ei	PERSON
ejpam-1889	306	3	3	CARDINAL
ejpam-1889	307	1	1	CARDINAL
ejpam-1889	308	1	+ u3(αe3	MONEY
ejpam-1889	308	2	2,α	CARDINAL
ejpam-1889	310	1	0	CARDINAL
ejpam-1889	310	2	2	CARDINAL
ejpam-1889	310	3	3,β	DATE
ejpam-1889	313	1	2 6=	CARDINAL
ejpam-1889	313	2	2	CARDINAL
ejpam-1889	313	3	4,β	CARDINAL
ejpam-1889	313	4	i=1	GPE
ejpam-1889	314	1	− e2 + γ4e3	ORG
ejpam-1889	316	1	2	CARDINAL
ejpam-1889	316	2	b2d3−b3d2 d3	PERSON
ejpam-1889	316	3	2	CARDINAL
ejpam-1889	316	4	5,β	CARDINAL
ejpam-1889	319	1	2 6=	CARDINAL
ejpam-1889	319	2	b2c3−b3c2 c3	PERSON
ejpam-1889	319	3	6,β	CARDINAL
ejpam-1889	319	4	i=1	GPE
ejpam-1889	320	1	− e2 + γ4e3	ORG
ejpam-1889	321	1	2	CARDINAL
ejpam-1889	321	2	b2c3−b3c2 c3 �	PERSON
ejpam-1889	321	3	2	CARDINAL
ejpam-1889	322	1	7,α	CARDINAL
ejpam-1889	325	1	8,β	CARDINAL
ejpam-1889	328	1	2	CARDINAL
ejpam-1889	328	2	1 6=	CARDINAL
ejpam-1889	328	3	2	CARDINAL
ejpam-1889	328	4	9,β	DATE
ejpam-1889	330	1	2	CARDINAL
ejpam-1889	330	2	1	CARDINAL
ejpam-1889	330	3	2	CARDINAL
ejpam-1889	331	1	152	CARDINAL
ejpam-1889	331	2	0	CARDINAL
ejpam-1889	332	1	∈	ORG
ejpam-1889	333	1	4	CARDINAL
ejpam-1889	334	1	affine	NORP
ejpam-1889	335	1	affine subspaces	PERSON
ejpam-1889	337	1	affine	ORG
ejpam-1889	338	1	1	CARDINAL
ejpam-1889	338	2	two	CARDINAL
ejpam-1889	338	3	1	CARDINAL
ejpam-1889	338	4	1	CARDINAL
ejpam-1889	339	1	2	CARDINAL
ejpam-1889	339	2	two	CARDINAL
ejpam-1889	339	3	1	CARDINAL
ejpam-1889	341	1	1	CARDINAL
ejpam-1889	341	2	r biggs	PERSON
ejpam-1889	343	1	41(3):513–524	CARDINAL
ejpam-1889	343	2	2012	DATE
ejpam-1889	344	1	2	CARDINAL
ejpam-1889	344	2	r biggs	PERSON
ejpam-1889	346	1	21(2):107–128, 2013	DATE
ejpam-1889	347	1	3	CARDINAL
ejpam-1889	349	1	berlin	GPE
ejpam-1889	349	2	2004	DATE
ejpam-1889	350	1	4	CARDINAL
ejpam-1889	353	1	20(1):355–368, 2012	DATE
ejpam-1889	354	1	5	CARDINAL
ejpam-1889	355	1	affine	ORG
ejpam-1889	355	2	three	CARDINAL
ejpam-1889	356	1	i. cuza” din iaşi	PERSON
ejpam-1889	357	1	59(2):399–414	CARDINAL
ejpam-1889	357	2	2013	DATE
ejpam-1889	358	1	6	CARDINAL
ejpam-1889	359	1	affine	ORG
ejpam-1889	359	2	three	CARDINAL
ejpam-1889	359	3	i. archivum mathematicum	PERSON
ejpam-1889	359	4	49(3):187–197	CARDINAL
ejpam-1889	359	5	2013	DATE
ejpam-1889	360	1	7	CARDINAL
ejpam-1889	361	1	affine	ORG
ejpam-1889	361	2	three	CARDINAL
ejpam-1889	362	1	di matematica	PERSON
ejpam-1889	362	2	33(2):19–31, 2013	DATE
ejpam-1889	363	1	8	CARDINAL
ejpam-1889	365	1	new york	GPE
ejpam-1889	365	2	2003	DATE
ejpam-1889	366	1	9	CARDINAL
ejpam-1889	368	1	marcel dekker	PERSON
ejpam-1889	368	2	new york	GPE
ejpam-1889	368	3	1990	DATE
ejpam-1889	369	1	153	CARDINAL
ejpam-1889	369	2	10	CARDINAL
ejpam-1889	371	1	cambridge university press	ORG
ejpam-1889	371	2	cambridge	GPE
ejpam-1889	371	3	1997	DATE
ejpam-1889	372	1	11	CARDINAL
ejpam-1889	373	1	control systems	ORG
ejpam-1889	374	1	12(2):313–329	CARDINAL
ejpam-1889	374	2	1972	DATE
ejpam-1889	375	1	12	CARDINAL
ejpam-1889	375	2	c behr	PERSON
ejpam-1889	375	3	e schücking	PERSON
ejpam-1889	375	4	g ellis	PERSON
ejpam-1889	375	5	r jantzen	PERSON
ejpam-1889	375	6	w kundt	PERSON
ejpam-1889	376	1	schücking-behr	ORG
ejpam-1889	377	1	35(3):475–489, 2003	DATE
ejpam-1889	378	1	13	CARDINAL
ejpam-1889	379	1	four	CARDINAL
ejpam-1889	380	1	e. schücking	PERSON
ejpam-1889	381	1	new york	GPE
ejpam-1889	381	2	1999	DATE
ejpam-1889	382	1	14	CARDINAL
ejpam-1889	382	2	j ratcliffe	PERSON
ejpam-1889	383	1	hyperbolic manifolds	ORG
ejpam-1889	383	2	springer-verlag	PERSON
ejpam-1889	383	3	new york	GPE
ejpam-1889	383	4	second	ORDINAL
ejpam-1889	383	5	2006	DATE
ejpam-1889	384	1	15	CARDINAL
ejpam-1889	386	1	w perruquetti	PERSON
ejpam-1889	387	1	eng	GPE
ejpam-1889	388	1	taylor & francis	ORG
ejpam-1889	388	2	crc press	ORG
ejpam-1889	388	3	2006	DATE
ejpam-1889	389	1	16	CARDINAL
ejpam-1889	391	1	156(3):381	CARDINAL
ejpam-1889	391	2	439	CARDINAL
ejpam-1889	391	3	2009	DATE
ejpam-1889	392	1	154	CARDINAL
ejpam-1889	392	2	1	CARDINAL
ejpam-1889	392	3	affine	NORP
ejpam-1889	392	4	affine subspaces	ORG
ejpam-1889	392	5	affine	NORP
ejpam-1889	392	6	1	CARDINAL
ejpam-1889	392	7	αe3 +	FAC
ejpam-1889	394	1	2	CARDINAL
ejpam-1889	394	2	0	CARDINAL
ejpam-1889	396	1	1	CARDINAL
ejpam-1889	396	2	0	CARDINAL
ejpam-1889	396	3	2	CARDINAL
ejpam-1889	396	4	1	CARDINAL
ejpam-1889	396	5	0	CARDINAL
ejpam-1889	396	6	0	CARDINAL
ejpam-1889	397	1	1	CARDINAL
ejpam-1889	397	2	  	ORG
ejpam-1889	397	3	1 1	CARDINAL
ejpam-1889	397	4	  	ORG
ejpam-1889	397	5	0	CARDINAL
ejpam-1889	397	6	1	CARDINAL
ejpam-1889	397	7	1	CARDINAL
ejpam-1889	397	8	αe3 + 〈e1	FAC
ejpam-1889	397	9	0	CARDINAL
ejpam-1889	397	10	0	CARDINAL
ejpam-1889	398	1	0	CARDINAL
ejpam-1889	398	2	  	ORG
ejpam-1889	398	3	 0	PERSON
ejpam-1889	399	1	1	CARDINAL
ejpam-1889	399	2	0 1	DATE
ejpam-1889	399	3	  	ORG
ejpam-1889	399	4	0	CARDINAL
ejpam-1889	399	5	0	CARDINAL
ejpam-1889	399	6	∈	ORG
ejpam-1889	399	7	155	CARDINAL
ejpam-1889	399	8	2	CARDINAL
ejpam-1889	399	9	3,0)-affine	CARDINAL
ejpam-1889	401	1	affine subspaces e∗3(〈c	ORG
ejpam-1889	401	2	6=	CARDINAL
ejpam-1889	403	1	1 0	DATE
ejpam-1889	404	1	0 1	CARDINAL
ejpam-1889	404	2	6=	CARDINAL
ejpam-1889	404	3	0} e1 ±	MONEY
ejpam-1889	404	4	  γ1 β1	DATE
ejpam-1889	404	5	1	CARDINAL
ejpam-1889	404	6	0	CARDINAL
ejpam-1889	404	7	0	CARDINAL
ejpam-1889	404	8	−1 1	DATE
ejpam-1889	404	9	  	ORG
ejpam-1889	404	10	0 1	CARDINAL
ejpam-1889	404	11	0	CARDINAL
ejpam-1889	404	12	0	CARDINAL
ejpam-1889	404	13	1	CARDINAL
ejpam-1889	404	14	0	CARDINAL
ejpam-1889	404	15	0	CARDINAL
ejpam-1889	404	16	1	CARDINAL
ejpam-1889	404	17	0	CARDINAL
ejpam-1889	405	1	  	ORG
ejpam-1889	406	1	1	CARDINAL
ejpam-1889	406	2	0	CARDINAL
ejpam-1889	406	3	  	ORG
ejpam-1889	406	4	0	CARDINAL
ejpam-1889	407	1	0	CARDINAL
ejpam-1889	407	2	0	CARDINAL
ejpam-1889	407	3	∈	ORG