id	sid	eid	entity	type
ejpam-4859	1	1	european journal	ORG
ejpam-4859	2	1	16	CARDINAL
ejpam-4859	2	2	4	CARDINAL
ejpam-4859	2	3	2023	CARDINAL
ejpam-4859	2	4	2557-2580	CARDINAL
ejpam-4859	2	5	1307-5543	DATE
ejpam-4859	2	6	new york	GPE
ejpam-4859	2	7	daryl m. magpantay college	PERSON
ejpam-4859	2	8	batangas state university	ORG
ejpam-4859	2	9	the national engineering university	ORG
ejpam-4859	2	10	batangas city	GPE
ejpam-4859	2	11	batangas	GPE
ejpam-4859	2	12	philippines	GPE
ejpam-4859	8	1	nonnegative linear combinations	ORG
ejpam-4859	9	1	1	CARDINAL
ejpam-4859	10	1	pyk systems	ORG
ejpam-4859	12	1	2020	DATE
ejpam-4859	12	2	92	CARDINAL
ejpam-4859	12	3	1	CARDINAL
ejpam-4859	15	1	one	CARDINAL
ejpam-4859	16	1	daryl.magpantay@g.batstate-u.edu.ph	GPE
ejpam-4859	16	2	d. magpantay	PERSON
ejpam-4859	16	3	2557	CARDINAL
ejpam-4859	17	1	2023	CARDINAL
ejpam-4859	18	1	d. magpantay	PERSON
ejpam-4859	19	1	j. pure	PERSON
ejpam-4859	19	2	16	CARDINAL
ejpam-4859	19	3	4	CARDINAL
ejpam-4859	19	4	2023	CARDINAL
ejpam-4859	19	5	2557-2580 2558	CARDINAL
ejpam-4859	22	1	3	CARDINAL
ejpam-4859	24	1	9	CARDINAL
ejpam-4859	25	1	two	CARDINAL
ejpam-4859	28	1	crnt	ORG
ejpam-4859	29	1	linear	ORG
ejpam-4859	33	1	6	CARDINAL
ejpam-4859	34	1	1	CARDINAL
ejpam-4859	36	1	pyk systems	ORG
ejpam-4859	38	1	2	CARDINAL
ejpam-4859	38	2	2.1	CARDINAL
ejpam-4859	39	1	phd	PERSON
ejpam-4859	39	2	2	CARDINAL
ejpam-4859	40	1	1	CARDINAL
ejpam-4859	42	1	d. magpantay	PERSON
ejpam-4859	43	1	j. pure	PERSON
ejpam-4859	43	2	16	CARDINAL
ejpam-4859	43	3	4	CARDINAL
ejpam-4859	43	4	2023	CARDINAL
ejpam-4859	43	5	2557-2580 2559	CARDINAL
ejpam-4859	46	1	only one	CARDINAL
ejpam-4859	47	1	1	CARDINAL
ejpam-4859	47	2	zero	CARDINAL
ejpam-4859	47	3	0	CARDINAL
ejpam-4859	48	1	zero	CARDINAL
ejpam-4859	50	1	zero	CARDINAL
ejpam-4859	51	1	2	CARDINAL
ejpam-4859	54	1	r.	NORP
ejpam-4859	58	1	3	CARDINAL
ejpam-4859	59	1	three	CARDINAL
ejpam-4859	61	1	1	CARDINAL
ejpam-4859	61	2	2a1	CARDINAL
ejpam-4859	61	3	3a4	CARDINAL
ejpam-4859	61	4	2a1	CARDINAL
ejpam-4859	61	5	3a4	CARDINAL
ejpam-4859	61	6	2a1	CARDINAL
ejpam-4859	61	7	3a4	CARDINAL
ejpam-4859	61	8	3a4	CARDINAL
ejpam-4859	61	9	3a4	CARDINAL
ejpam-4859	61	10	4	CARDINAL
ejpam-4859	61	11	5	CARDINAL
ejpam-4859	61	12	d. magpantay	PERSON
ejpam-4859	62	1	j. pure	PERSON
ejpam-4859	62	2	16	CARDINAL
ejpam-4859	62	3	4	CARDINAL
ejpam-4859	62	4	2023	CARDINAL
ejpam-4859	62	5	2557-2580	CARDINAL
ejpam-4859	63	1	first	ORDINAL
ejpam-4859	64	1	two	CARDINAL
ejpam-4859	65	1	yn	PERSON
ejpam-4859	69	1	crns	PERSON
ejpam-4859	70	1	4	CARDINAL
ejpam-4859	74	1	2	CARDINAL
ejpam-4859	74	2	1	CARDINAL
ejpam-4859	74	3	1	CARDINAL
ejpam-4859	74	4	2a1	CARDINAL
ejpam-4859	74	5	3a4	CARDINAL
ejpam-4859	74	6	3	CARDINAL
ejpam-4859	74	7	2a1	CARDINAL
ejpam-4859	74	8	3a4	CARDINAL
ejpam-4859	74	9	1	CARDINAL
ejpam-4859	75	1	ℓ ≤ t ≤ sℓ.	FAC
ejpam-4859	75	2	two	CARDINAL
ejpam-4859	76	1	5	CARDINAL
ejpam-4859	77	1	one	CARDINAL
ejpam-4859	78	1	1	CARDINAL
ejpam-4859	85	1	0	CARDINAL
ejpam-4859	87	1	3	CARDINAL
ejpam-4859	87	2	example 1	DATE
ejpam-4859	87	3	1	CARDINAL
ejpam-4859	87	4	0	CARDINAL
ejpam-4859	90	1	1	CARDINAL
ejpam-4859	91	1	d. magpantay	PERSON
ejpam-4859	92	1	j. pure	PERSON
ejpam-4859	92	2	16	CARDINAL
ejpam-4859	92	3	4	CARDINAL
ejpam-4859	92	4	2023	CARDINAL
ejpam-4859	92	5	2557-2580 2561	QUANTITY
ejpam-4859	94	1	1	CARDINAL
ejpam-4859	98	1	at least two	CARDINAL
ejpam-4859	98	2	t ′	DATE
ejpam-4859	98	3	first	ORDINAL
ejpam-4859	98	4	at least one	CARDINAL
ejpam-4859	98	5	2	CARDINAL
ejpam-4859	99	1	2.3	CARDINAL
ejpam-4859	100	1	shinar	ORG
ejpam-4859	100	2	feinberg	PERSON
ejpam-4859	101	1	8	CARDINAL
ejpam-4859	102	1	linear	ORG
ejpam-4859	103	1	zero	CARDINAL
ejpam-4859	103	2	linear	ORG
ejpam-4859	105	1	6	CARDINAL
ejpam-4859	106	1	4	CARDINAL
ejpam-4859	107	1	example 1	DATE
ejpam-4859	107	2	1	CARDINAL
ejpam-4859	107	3	3	CARDINAL
ejpam-4859	107	4	0	CARDINAL
ejpam-4859	109	1	4	CARDINAL
ejpam-4859	110	1	2	CARDINAL
ejpam-4859	112	1	ia	GPE
ejpam-4859	114	1	dim(ker(y	GPE
ejpam-4859	114	2	ia	GPE
ejpam-4859	117	1	dim(ker(y	GPE
ejpam-4859	117	2	ia	GPE
ejpam-4859	118	1	− dim(im(y ia	PERSON
ejpam-4859	120	1	− s.	PERSON
ejpam-4859	120	2	ia	GPE
ejpam-4859	121	1	d. magpantay	PERSON
ejpam-4859	122	1	j. pure	PERSON
ejpam-4859	122	2	16	CARDINAL
ejpam-4859	122	3	4	CARDINAL
ejpam-4859	122	4	2023	CARDINAL
ejpam-4859	122	5	2557-2580 2562	DATE
ejpam-4859	123	1	− (n− ℓ	ORG
ejpam-4859	124	1	dim(ker(y	GPE
ejpam-4859	128	1	2.3.1	CARDINAL
ejpam-4859	129	1	7	CARDINAL
ejpam-4859	131	1	t−ℓ ≤ δ	FAC
ejpam-4859	133	1	8	DATE
ejpam-4859	136	1	hrd	ORG
ejpam-4859	136	2	5	CARDINAL
ejpam-4859	137	1	1	CARDINAL
ejpam-4859	138	1	1	CARDINAL
ejpam-4859	138	2	1	CARDINAL
ejpam-4859	138	3	4	CARDINAL
ejpam-4859	138	4	3	CARDINAL
ejpam-4859	138	5	= s. hence	PERSON
ejpam-4859	139	1	3	CARDINAL
ejpam-4859	143	1	1	CARDINAL
ejpam-4859	144	1	4	CARDINAL
ejpam-4859	146	1	istbd	PERSON
ejpam-4859	150	1	d. magpantay	PERSON
ejpam-4859	151	1	j. pure	PERSON
ejpam-4859	151	2	16	CARDINAL
ejpam-4859	151	3	4	CARDINAL
ejpam-4859	151	4	2023	CARDINAL
ejpam-4859	151	5	2557-2580	CARDINAL
ejpam-4859	151	6	ρ(r	PRODUCT
ejpam-4859	152	1	ρ(r	PERSON
ejpam-4859	153	1	9	CARDINAL
ejpam-4859	155	1	2	CARDINAL
ejpam-4859	160	1	6	CARDINAL
ejpam-4859	161	1	1	CARDINAL
ejpam-4859	161	2	3a4}⟩.	CARDINAL
ejpam-4859	161	3	4	CARDINAL
ejpam-4859	163	1	10	CARDINAL
ejpam-4859	165	1	hrr	ORG
ejpam-4859	165	2	zero	CARDINAL
ejpam-4859	166	1	7	CARDINAL
ejpam-4859	166	2	1	CARDINAL
ejpam-4859	168	1	3− 4	DATE
ejpam-4859	168	2	−1	DATE
ejpam-4859	173	1	1	CARDINAL
ejpam-4859	174	1	11	DATE
ejpam-4859	175	1	q. example 8	PERSON
ejpam-4859	176	1	1	CARDINAL
ejpam-4859	177	1	4−4	CARDINAL
ejpam-4859	177	2	0	CARDINAL
ejpam-4859	177	3	2.5	CARDINAL
ejpam-4859	182	1	12	CARDINAL
ejpam-4859	183	1	⊆	CARDINAL
ejpam-4859	183	2	⊆	CARDINAL
ejpam-4859	183	3	kij(c	GPE
ejpam-4859	183	4	0	CARDINAL
ejpam-4859	183	5	∈	ORG
ejpam-4859	187	1	kr	PERSON
ejpam-4859	189	1	d. magpantay	PERSON
ejpam-4859	190	1	j. pure	PERSON
ejpam-4859	190	2	16	CARDINAL
ejpam-4859	190	3	4	CARDINAL
ejpam-4859	190	4	2023	CARDINAL
ejpam-4859	190	5	2557-2580 2564	QUANTITY
ejpam-4859	191	1	10	CARDINAL
ejpam-4859	192	1	13	CARDINAL
ejpam-4859	193	1	kij(c	ORG
ejpam-4859	193	2	0	CARDINAL
ejpam-4859	194	1	supp	GPE
ejpam-4859	194	2	⊂	GPE
ejpam-4859	194	3	∈	ORG
ejpam-4859	194	4	3	CARDINAL
ejpam-4859	194	5	feinberg	ORG
ejpam-4859	194	6	1987	DATE
ejpam-4859	196	1	supp	ORG
ejpam-4859	197	1	supp	GPE
ejpam-4859	197	2	⊂	GPE
ejpam-4859	199	1	two	CARDINAL
ejpam-4859	199	2	14	DATE
ejpam-4859	200	1	f(x	ORG
ejpam-4859	204	1	9	CARDINAL
ejpam-4859	204	2	1	CARDINAL
ejpam-4859	206	1	0	CARDINAL
ejpam-4859	206	2	1	CARDINAL
ejpam-4859	206	3	0	CARDINAL
ejpam-4859	206	4	1	CARDINAL
ejpam-4859	207	1	3	CARDINAL
ejpam-4859	208	1	k3a4→a2+a3 k2a1→3a4	PERSON
ejpam-4859	209	1	k(x	PERSON
ejpam-4859	212	1	1 ≤	QUANTITY
ejpam-4859	212	2	ki ∈	PERSON
ejpam-4859	212	3	fij ∈ r. power law kinetics	PERSON
ejpam-4859	214	1	k ∈	PERSON
ejpam-4859	216	1	example 1	DATE
ejpam-4859	216	2	d. magpantay	PERSON
ejpam-4859	217	1	j. pure	PERSON
ejpam-4859	217	2	16	CARDINAL
ejpam-4859	217	3	4	CARDINAL
ejpam-4859	217	4	2023	CARDINAL
ejpam-4859	217	5	2557-2580 2565	CARDINAL
ejpam-4859	218	1	0	CARDINAL
ejpam-4859	218	2	r1 r2 r3	PERSON
ejpam-4859	218	3	fij ∈ r.	PERSON
ejpam-4859	219	1	1	CARDINAL
ejpam-4859	222	1	gma systems	ORG
ejpam-4859	222	2	bst	NORP
ejpam-4859	224	1	xm	ORG
ejpam-4859	224	2	15	CARDINAL
ejpam-4859	226	1	1 ≤	QUANTITY
ejpam-4859	226	2	1	CARDINAL
ejpam-4859	226	3	ki ∈	PERSON
ejpam-4859	226	4	1 ≤ j ≤	QUANTITY
ejpam-4859	233	1	10	CARDINAL
ejpam-4859	234	1	2x	CARDINAL
ejpam-4859	234	2	2x	CARDINAL
ejpam-4859	234	3	k1(x	PERSON
ejpam-4859	236	1	k2(x	PERSON
ejpam-4859	238	1	+x3	PERSON
ejpam-4859	239	1	f1,k	ORG
ejpam-4859	240	1	1 1	CARDINAL
ejpam-4859	240	2	f2,k	ORG
ejpam-4859	241	1	2 1 3	DATE
ejpam-4859	244	1	d. magpantay	PERSON
ejpam-4859	245	1	j. pure	PERSON
ejpam-4859	245	2	16	CARDINAL
ejpam-4859	245	3	4	CARDINAL
ejpam-4859	245	4	2023	CARDINAL
ejpam-4859	245	5	2557-2580 2566 2.6	QUANTITY
ejpam-4859	248	1	16	CARDINAL
ejpam-4859	252	1	5	CARDINAL
ejpam-4859	257	1	span(im f	GPE
ejpam-4859	258	1	k.	PERSON
ejpam-4859	259	1	two	CARDINAL
ejpam-4859	259	2	one	CARDINAL
ejpam-4859	261	1	17	CARDINAL
ejpam-4859	263	1	d. magpantay	PERSON
ejpam-4859	264	1	j. pure	PERSON
ejpam-4859	264	2	16	CARDINAL
ejpam-4859	264	3	4	CARDINAL
ejpam-4859	264	4	2023	CARDINAL
ejpam-4859	264	5	2557-2580 2567 2.7	CARDINAL
ejpam-4859	270	1	2	CARDINAL
ejpam-4859	273	1	4	CARDINAL
ejpam-4859	274	1	+ 1	DATE
ejpam-4859	274	2	1	CARDINAL
ejpam-4859	275	1	1	CARDINAL
ejpam-4859	276	1	3y +	CARDINAL
ejpam-4859	278	1	4y 2 + 6xy 3	DATE
ejpam-4859	280	1	3y +	CARDINAL
ejpam-4859	282	1	4y 2 + 2xy 3	DATE
ejpam-4859	285	1	one	CARDINAL
ejpam-4859	287	1	6	CARDINAL
ejpam-4859	291	1	first	ORDINAL
ejpam-4859	291	2	2	CARDINAL
ejpam-4859	292	1	5	CARDINAL
ejpam-4859	293	1	k∗ijmij	ORDINAL
ejpam-4859	294	1	d. magpantay	PERSON
ejpam-4859	295	1	j. pure	PERSON
ejpam-4859	295	2	16	CARDINAL
ejpam-4859	295	3	4	CARDINAL
ejpam-4859	295	4	2023	CARDINAL
ejpam-4859	295	5	2557-2580 2568	DATE
ejpam-4859	296	1	ci1, ci2	PERSON
ejpam-4859	302	1	rr1 rr2 .	PERSON
ejpam-4859	303	1	rrh n∗	ORG
ejpam-4859	306	1	c11 c21 c21	ORG
ejpam-4859	308	1	cr1 cr1 .	PERSON
ejpam-4859	309	1	cr1 c12 c12	PERSON
ejpam-4859	310	1	c12 c22 c22	PERSON
ejpam-4859	311	1	c22	PERSON
ejpam-4859	312	1	cr2 cr2	PERSON
ejpam-4859	320	1	c1m	PERSON
ejpam-4859	320	2	c1m	PERSON
ejpam-4859	322	1	c2m	PERSON
ejpam-4859	323	1	crm crm	PRODUCT
ejpam-4859	324	1	11	CARDINAL
ejpam-4859	324	2	12	CARDINAL
ejpam-4859	325	1	1h	CARDINAL
ejpam-4859	325	2	21	CARDINAL
ejpam-4859	325	3	22	CARDINAL
ejpam-4859	326	1	2h	CARDINAL
ejpam-4859	328	1	k∗ rh	PERSON
ejpam-4859	331	1	11 +	DATE
ejpam-4859	331	2	12 +	DATE
ejpam-4859	332	1	1h	CARDINAL
ejpam-4859	334	1	2h +	DATE
ejpam-4859	335	1	r2 +	FAC
ejpam-4859	336	1	rh	ORG
ejpam-4859	336	2	11 +	QUANTITY
ejpam-4859	336	3	12 +	DATE
ejpam-4859	337	1	1h + c22k∗	MONEY
ejpam-4859	340	1	11	CARDINAL
ejpam-4859	340	2	12 +	DATE
ejpam-4859	341	1	1h +	DATE
ejpam-4859	341	2	21 +	DATE
ejpam-4859	341	3	22 +	DATE
ejpam-4859	342	1	2h	CARDINAL
ejpam-4859	345	1	12 +	DATE
ejpam-4859	346	1	1h	CARDINAL
ejpam-4859	347	1	∗ 21	DATE
ejpam-4859	348	1	22 +	DATE
ejpam-4859	349	1	2h	CARDINAL
ejpam-4859	352	1	cr1(k ∗ r1 +k∗	PERSON
ejpam-4859	352	2	r2 + .	FAC
ejpam-4859	354	1	12 +	DATE
ejpam-4859	355	1	1h	CARDINAL
ejpam-4859	357	1	22 +	DATE
ejpam-4859	358	1	2h	CARDINAL
ejpam-4859	360	1	∗	CARDINAL
ejpam-4859	360	2	r2 + .	FAC
ejpam-4859	362	1	11	CARDINAL
ejpam-4859	363	1	12 +	DATE
ejpam-4859	364	1	1h	CARDINAL
ejpam-4859	365	1	21 +	DATE
ejpam-4859	365	2	22	CARDINAL
ejpam-4859	367	1	2h	CARDINAL
ejpam-4859	369	1	crm(k∗ r1 +	PERSON
ejpam-4859	369	2	r2 + .	FAC
ejpam-4859	371	1	cr1kr	PERSON
ejpam-4859	373	1	crmkr	ORG
ejpam-4859	373	2	d. magpantay	PERSON
ejpam-4859	374	1	j. pure	PERSON
ejpam-4859	374	2	16	CARDINAL
ejpam-4859	374	3	4	CARDINAL
ejpam-4859	374	4	2023	CARDINAL
ejpam-4859	374	5	2557-2580 2569	QUANTITY
ejpam-4859	375	1	cr1 c12 c22	PERSON
ejpam-4859	378	1	crm	PERSON
ejpam-4859	385	1	3	CARDINAL
ejpam-4859	385	2	first	ORDINAL
ejpam-4859	387	1	3.1	CARDINAL
ejpam-4859	389	1	one	CARDINAL
ejpam-4859	389	2	18	DATE
ejpam-4859	392	1	1	CARDINAL
ejpam-4859	395	1	k(x	PERSON
ejpam-4859	396	1	1	CARDINAL
ejpam-4859	397	1	k	PERSON
ejpam-4859	399	1	∗ 1	DATE
ejpam-4859	399	2	2	CARDINAL
ejpam-4859	399	3	∗	CARDINAL
ejpam-4859	399	4	ci ≤ 0	PERSON
ejpam-4859	399	5	1	CARDINAL
ejpam-4859	400	1	k	PERSON
ejpam-4859	402	1	y′	DATE
ejpam-4859	406	1	∗ 2	DATE
ejpam-4859	406	2	∗ 1	DATE
ejpam-4859	406	3	1 ≤	QUANTITY
ejpam-4859	406	4	j ≤ h.	PERSON
ejpam-4859	406	5	11	CARDINAL
ejpam-4859	407	1	2x	CARDINAL
ejpam-4859	407	2	2x	CARDINAL
ejpam-4859	407	3	5x +	QUANTITY
ejpam-4859	407	4	kr(x	NORP
ejpam-4859	408	1	2	DATE
ejpam-4859	410	1	d. magpantay	PERSON
ejpam-4859	411	1	j. pure	PERSON
ejpam-4859	411	2	16	CARDINAL
ejpam-4859	411	3	4	CARDINAL
ejpam-4859	411	4	2023	CARDINAL
ejpam-4859	411	5	2557-2580 2570	QUANTITY
ejpam-4859	413	1	3x	CARDINAL
ejpam-4859	415	1	2x	CARDINAL
ejpam-4859	415	2	2x	CARDINAL
ejpam-4859	415	3	3x	DATE
ejpam-4859	416	1	2x	CARDINAL
ejpam-4859	416	2	5x +	QUANTITY
ejpam-4859	416	3	5x	CARDINAL
ejpam-4859	416	4	8x + 2y	DATE
ejpam-4859	417	1	k∗	PERSON
ejpam-4859	419	1	r∗(x	GPE
ejpam-4859	420	1	2	CARDINAL
ejpam-4859	420	2	2 k∗	PERSON
ejpam-4859	421	1	r′∗(x	GPE
ejpam-4859	424	1	12	CARDINAL
ejpam-4859	425	1	2x	CARDINAL
ejpam-4859	426	1	kr1(x	PERSON
ejpam-4859	427	1	+ 5y 2	DATE
ejpam-4859	428	1	2 + 2x3y	CARDINAL
ejpam-4859	428	2	kr3(x	ORG
ejpam-4859	430	1	2x	CARDINAL
ejpam-4859	432	1	3x	CARDINAL
ejpam-4859	432	2	2x + 2y	DATE
ejpam-4859	435	1	2x	CARDINAL
ejpam-4859	435	2	2x	CARDINAL
ejpam-4859	435	3	2x + 2y	DATE
ejpam-4859	435	4	2x	CARDINAL
ejpam-4859	435	5	2x + 3y	MONEY
ejpam-4859	436	1	k∗ r1(x	PERSON
ejpam-4859	438	1	5k1y	ORDINAL
ejpam-4859	438	2	2	CARDINAL
ejpam-4859	438	3	2	CARDINAL
ejpam-4859	439	1	2	CARDINAL
ejpam-4859	440	1	2k2x	ORDINAL
ejpam-4859	440	2	3y	CARDINAL
ejpam-4859	440	3	k∗∗2	GPE
ejpam-4859	440	4	k∗	PERSON
ejpam-4859	441	1	2.5k3x	CARDINAL
ejpam-4859	441	2	k∗	PERSON
ejpam-4859	442	1	3 = k∗∗3	QUANTITY
ejpam-4859	447	1	3.1	CARDINAL
ejpam-4859	451	1	two	CARDINAL
ejpam-4859	452	1	3.1	CARDINAL
ejpam-4859	453	1	d. magpantay	PERSON
ejpam-4859	454	1	j. pure	PERSON
ejpam-4859	454	2	16	CARDINAL
ejpam-4859	454	3	4	CARDINAL
ejpam-4859	454	4	2023	CARDINAL
ejpam-4859	454	5	2557-2580 2571	CARDINAL
ejpam-4859	454	6	1	CARDINAL
ejpam-4859	454	7	n ≤ n∗	MONEY
ejpam-4859	455	1	r∗	PERSON
ejpam-4859	458	1	∗	CARDINAL
ejpam-4859	458	2	δ∗ ≤ n+ r(h− 1)−	FAC
ejpam-4859	458	3	1	CARDINAL
ejpam-4859	460	1	3.1	CARDINAL
ejpam-4859	462	1	3.1	CARDINAL
ejpam-4859	464	1	3.3	CARDINAL
ejpam-4859	465	1	crn	ORG
ejpam-4859	467	1	3.3.1	CARDINAL
ejpam-4859	467	2	1	CARDINAL
ejpam-4859	467	3	1	CARDINAL
ejpam-4859	469	1	1	CARDINAL
ejpam-4859	469	2	2	CARDINAL
ejpam-4859	473	1	2	CARDINAL
ejpam-4859	474	1	d−(y	GPE
ejpam-4859	476	1	1	CARDINAL
ejpam-4859	478	1	2	CARDINAL
ejpam-4859	481	1	1	CARDINAL
ejpam-4859	483	1	d. magpantay	PERSON
ejpam-4859	484	1	j. pure	PERSON
ejpam-4859	484	2	16	CARDINAL
ejpam-4859	484	3	4	CARDINAL
ejpam-4859	484	4	2023	CARDINAL
ejpam-4859	484	5	2557-2580 2572	QUANTITY
ejpam-4859	485	1	1	CARDINAL
ejpam-4859	485	2	2	CARDINAL
ejpam-4859	485	3	one	CARDINAL
ejpam-4859	485	4	y∗	GPE
ejpam-4859	488	1	y∗2	ORG
ejpam-4859	488	2	y∗2	GPE
ejpam-4859	488	3	y∗2 → y2 → y′2	ORG
ejpam-4859	489	1	y∗2	ORG
ejpam-4859	490	1	one	CARDINAL
ejpam-4859	493	1	3.3.2	CARDINAL
ejpam-4859	493	2	12	CARDINAL
ejpam-4859	496	1	∗ 2	ORG
ejpam-4859	498	1	8	CARDINAL
ejpam-4859	499	1	y∗	DATE
ejpam-4859	499	2	n∗	ORG
ejpam-4859	504	1	ŷ	GPE
ejpam-4859	505	1	ŷ	GPE
ejpam-4859	506	1	ŷ	GPE
ejpam-4859	507	1	ŷ	GPE
ejpam-4859	507	2	y ⇒ ŷ	PERSON
ejpam-4859	508	1	ŷ	GPE
ejpam-4859	509	1	ŷ ̸= y∗	ORG
ejpam-4859	509	2	ŷ	GPE
ejpam-4859	509	3	ŷ ⇒ y∗	GPE
ejpam-4859	510	1	y∗	GPE
ejpam-4859	510	2	d. magpantay	PERSON
ejpam-4859	511	1	j. pure	PERSON
ejpam-4859	511	2	16	CARDINAL
ejpam-4859	511	3	4	CARDINAL
ejpam-4859	511	4	2023	CARDINAL
ejpam-4859	511	5	2557-2580 2573	DATE
ejpam-4859	511	6	y∗	DATE
ejpam-4859	512	1	ŷ	PERSON
ejpam-4859	516	1	example 12	DATE
ejpam-4859	518	1	n∗	ORG
ejpam-4859	518	2	6	CARDINAL
ejpam-4859	522	1	y∗	DATE
ejpam-4859	525	1	n∗	ORG
ejpam-4859	525	2	n∗	ORG
ejpam-4859	527	1	y∗	DATE
ejpam-4859	529	1	n∗	ORG
ejpam-4859	529	2	n∗	ORG
ejpam-4859	530	1	n∗	ORG
ejpam-4859	534	1	n∗	ORG
ejpam-4859	535	1	first	ORDINAL
ejpam-4859	536	1	3.3.4	CARDINAL
ejpam-4859	537	1	10	CARDINAL
ejpam-4859	542	1	d. magpantay	PERSON
ejpam-4859	543	1	j. pure	PERSON
ejpam-4859	543	2	16	CARDINAL
ejpam-4859	543	3	4	CARDINAL
ejpam-4859	543	4	2023	CARDINAL
ejpam-4859	543	5	2557-2580 2574	CARDINAL
ejpam-4859	547	1	n∗	ORG
ejpam-4859	547	2	n∗	ORG
ejpam-4859	548	1	− n∗	ORG
ejpam-4859	549	1	two	CARDINAL
ejpam-4859	550	1	1	CARDINAL
ejpam-4859	550	2	d+(y∗	PERSON
ejpam-4859	554	1	n∗	ORG
ejpam-4859	554	2	x.	EVENT
ejpam-4859	557	1	2	CARDINAL
ejpam-4859	559	1	n∗	ORG
ejpam-4859	567	1	d. magpantay	PERSON
ejpam-4859	568	1	j. pure	PERSON
ejpam-4859	568	2	16	CARDINAL
ejpam-4859	568	3	4	CARDINAL
ejpam-4859	568	4	2023	CARDINAL
ejpam-4859	568	5	2557-2580 2575	CARDINAL
ejpam-4859	568	6	11	CARDINAL
ejpam-4859	571	1	span{y′−y ∈	PERSON
ejpam-4859	571	2	dim s.	PERSON
ejpam-4859	573	1	y′	DATE
ejpam-4859	574	1	n ∗	ORG
ejpam-4859	577	1	3.3.6	CARDINAL
ejpam-4859	578	1	two	CARDINAL
ejpam-4859	579	1	12	CARDINAL
ejpam-4859	585	1	two	CARDINAL
ejpam-4859	586	1	i.	PERSON
ejpam-4859	586	2	≤	CARDINAL
ejpam-4859	586	3	n ≤ n∗	ORG
ejpam-4859	586	4	n−	ORG
ejpam-4859	586	5	− s∗. ii	PERSON
ejpam-4859	588	1	d. magpantay	PERSON
ejpam-4859	589	1	j. pure	PERSON
ejpam-4859	589	2	16	CARDINAL
ejpam-4859	589	3	4	CARDINAL
ejpam-4859	589	4	2023	CARDINAL
ejpam-4859	589	5	2557-2580 2576	CARDINAL
ejpam-4859	589	6	y∗	DATE
ejpam-4859	589	7	d+(y∗	PERSON
ejpam-4859	590	1	0}|	CARDINAL
ejpam-4859	591	1	d+(y∗	PERSON
ejpam-4859	596	1	δ∗	ORG
ejpam-4859	600	1	13	CARDINAL
ejpam-4859	606	1	n∗	ORG
ejpam-4859	606	2	n∗	ORG
ejpam-4859	606	3	n∗	ORG
ejpam-4859	607	1	2	CARDINAL
ejpam-4859	607	2	2	CARDINAL
ejpam-4859	607	3	n∗	ORG
ejpam-4859	608	1	1	CARDINAL
ejpam-4859	608	2	d. magpantay	PERSON
ejpam-4859	609	1	j. pure	PERSON
ejpam-4859	609	2	16	CARDINAL
ejpam-4859	609	3	4	CARDINAL
ejpam-4859	609	4	2023	CARDINAL
ejpam-4859	609	5	2557-2580 2577 3.3.7	CARDINAL
ejpam-4859	612	1	13	CARDINAL
ejpam-4859	615	1	+ 2y	DATE
ejpam-4859	616	1	+ 2y	DATE
ejpam-4859	616	2	2x + 2y	DATE
ejpam-4859	617	1	kr1(x	PERSON
ejpam-4859	619	1	2y	CARDINAL
ejpam-4859	622	1	2	CARDINAL
ejpam-4859	625	1	+3y	ORG
ejpam-4859	625	2	2x	CARDINAL
ejpam-4859	625	3	2x	CARDINAL
ejpam-4859	625	4	3x	CARDINAL
ejpam-4859	626	1	k∗ r1(x	PERSON
ejpam-4859	627	1	2y	CARDINAL
ejpam-4859	629	1	k∗∗2	GPE
ejpam-4859	630	1	r2∗(x	PERSON
ejpam-4859	631	1	2	CARDINAL
ejpam-4859	635	1	14	DATE
ejpam-4859	636	1	2	CARDINAL
ejpam-4859	637	1	i.	PERSON
ejpam-4859	637	2	0	CARDINAL
ejpam-4859	640	1	zero	CARDINAL
ejpam-4859	642	1	2	CARDINAL
ejpam-4859	646	1	d. magpantay	PERSON
ejpam-4859	647	1	j. pure	PERSON
ejpam-4859	647	2	16	CARDINAL
ejpam-4859	647	3	4	CARDINAL
ejpam-4859	647	4	2023	CARDINAL
ejpam-4859	647	5	2557-2580 2578	CARDINAL
ejpam-4859	647	6	0	CARDINAL
ejpam-4859	648	1	n∗	ORG
ejpam-4859	649	1	2	CARDINAL
ejpam-4859	652	1	one	CARDINAL
ejpam-4859	652	2	3.3.8	DATE
ejpam-4859	655	1	15	CARDINAL
ejpam-4859	657	1	δ ≤	ORG
ejpam-4859	657	2	δ∗ ≤ n+ r(m− 1)− s−	FAC
ejpam-4859	657	3	1	CARDINAL
ejpam-4859	659	1	i. n ≤ n∗	PERSON
ejpam-4859	661	1	two	CARDINAL
ejpam-4859	661	2	n− ℓ ≤ n∗	ORG
ejpam-4859	661	3	3	CARDINAL
ejpam-4859	661	4	11	CARDINAL
ejpam-4859	661	5	= s.	PERSON
ejpam-4859	661	6	3	CARDINAL
ejpam-4859	661	7	2579	CARDINAL
ejpam-4859	661	8	k	GPE
ejpam-4859	661	9	h− 1)r	ORG
ejpam-4859	662	1	δ ≤	ORG
ejpam-4859	662	2	δ∗ ≤ n+	FAC
ejpam-4859	663	1	δ∗ ≤ n+ r(h− 1)−	FAC
ejpam-4859	663	2	1	CARDINAL
ejpam-4859	663	3	3.3.9	CARDINAL
ejpam-4859	664	1	16	CARDINAL
ejpam-4859	666	1	n ∗	ORG
ejpam-4859	669	1	n∗.	NORP
ejpam-4859	673	1	y′	DATE
ejpam-4859	679	1	1	CARDINAL
ejpam-4859	679	2	jose ec	PERSON
ejpam-4859	679	3	lao ar	PERSON
ejpam-4859	681	1	56(2):395–422	CARDINAL
ejpam-4859	681	2	2018	DATE
ejpam-4859	681	3	2580	CARDINAL
ejpam-4859	681	4	2	CARDINAL
ejpam-4859	681	5	one	CARDINAL
ejpam-4859	682	1	phd thesis	PERSON
ejpam-4859	682	2	eotvos	GPE
ejpam-4859	683	1	3	CARDINAL
ejpam-4859	683	2	tao y.	PERSON
ejpam-4859	684	1	thenational academy of sciences	ORG
ejpam-4859	684	2	111	CARDINAL
ejpam-4859	684	3	10810–10817	DATE
ejpam-4859	684	4	2018	DATE
ejpam-4859	684	5	4	CARDINAL
ejpam-4859	684	6	feinberg m.	PERSON
ejpam-4859	685	1	the university of wisconsin	ORG
ejpam-4859	686	1	1979	DATE
ejpam-4859	687	1	5	CARDINAL
ejpam-4859	687	2	feinberg m. chemical	PERSON
ejpam-4859	687	3	zero	CARDINAL
ejpam-4859	687	4	one	CARDINAL
ejpam-4859	689	1	42 2229-2268,1987	CARDINAL
ejpam-4859	690	1	6	CARDINAL
ejpam-4859	690	2	lao ar	PERSON
ejpam-4859	691	1	manila	GPE
ejpam-4859	691	2	11	CARDINAL
ejpam-4859	691	3	81-96	DATE
ejpam-4859	691	4	2018	DATE
ejpam-4859	691	5	7	CARDINAL
ejpam-4859	691	6	jose ec	PERSON
ejpam-4859	692	1	linear	ORG
ejpam-4859	694	1	10910018-0909-2, 2018	DATE
ejpam-4859	695	1	8	CARDINAL
ejpam-4859	695	2	feinberg m.	PERSON
ejpam-4859	696	1	231 1:39–48, 2011	DATE
ejpam-4859	697	1	9	CARDINAL
ejpam-4859	697	2	fajardo a.	PERSON
ejpam-4859	700	1	68	CARDINAL
ejpam-4859	700	2	181-206	CARDINAL
ejpam-4859	700	3	2014	DATE
ejpam-4859	701	1	10	CARDINAL
ejpam-4859	701	2	e. power-law kinetics	PERSON
ejpam-4859	702	1	iam j	PERSON
ejpam-4859	702	2	dyn syst	GPE
ejpam-4859	703	1	12	CARDINAL
ejpam-4859	703	2	1685-1721	DATE
ejpam-4859	703	3	2013	DATE