id	sid	eid	entity	type
ap-1811	1	1	acta polytechnica acta polytechnica	ORG
ap-1811	1	2	53(3):302–305	CARDINAL
ap-1811	1	3	2013	DATE
ap-1811	1	4	czech technical university	ORG
ap-1811	1	5	prague	GPE
ap-1811	1	6	2013	DATE
ap-1811	1	7	linear	ORG
ap-1811	1	8	p. g. l. leacha	PERSON
ap-1811	1	9	b,∗	GPE
ap-1811	1	10	university of kwazulu-natal	ORG
ap-1811	1	11	4000	CARDINAL
ap-1811	1	12	republic of south africa	ORG
ap-1811	2	1	university of cyprus	ORG
ap-1811	2	2	lefkosia	GPE
ap-1811	2	3	republic of cyprus ∗	ORG
ap-1811	3	1	noether	PERSON
ap-1811	3	2	symmetries	ORG
ap-1811	3	3	first	ORDINAL
ap-1811	4	1	linear	ORG
ap-1811	6	1	hamitonian	PERSON
ap-1811	7	1	1	CARDINAL
ap-1811	8	1	noether	PERSON
ap-1811	8	2	1918	DATE
ap-1811	9	1	13	CARDINAL
ap-1811	9	2	felix klein	PERSON
ap-1811	11	1	one	CARDINAL
ap-1811	11	2	one	CARDINAL
ap-1811	11	3	first	ORDINAL
ap-1811	12	1	t0 l	DATE
ap-1811	12	2	ẋ)dt	DATE
ap-1811	14	1	+ η	PERSON
ap-1811	14	2	− ẋτ̇	PERSON
ap-1811	16	1	+ τ̇l	GPE
ap-1811	17	1	η	PERSON
ap-1811	17	2	ẋ.	CARDINAL
ap-1811	19	1	first	ORDINAL
ap-1811	23	1	the approximately 90 years	DATE
ap-1811	26	1	2	CARDINAL
ap-1811	26	2	hamilton	PERSON
ap-1811	26	3	second	ORDINAL
ap-1811	26	4	first	ORDINAL
ap-1811	26	5	newton	ORG
ap-1811	26	6	second	ORDINAL
ap-1811	28	1	1926	DATE
ap-1811	28	2	hamiltonian	NORP
ap-1811	30	1	lagrangian mechanics	ORG
ap-1811	30	2	newton	ORG
ap-1811	31	1	one	CARDINAL
ap-1811	31	2	hamilton	PERSON
ap-1811	31	3	euler	PERSON
ap-1811	31	4	lagrange	GPE
ap-1811	31	5	newton	ORG
ap-1811	33	1	4	CARDINAL
ap-1811	33	2	302	CARDINAL
ap-1811	34	1	53	CARDINAL
ap-1811	35	1	linear	ORG
ap-1811	35	2	0	CARDINAL
ap-1811	35	3	+ tx∂x	TIME
ap-1811	35	4	1 2x 2	CARDINAL
ap-1811	35	5	0	CARDINAL
ap-1811	35	6	1	CARDINAL
ap-1811	35	7	1	CARDINAL
ap-1811	36	1	noether	PERSON
ap-1811	39	1	two	CARDINAL
ap-1811	39	2	1 2	CARDINAL
ap-1811	39	3	2	CARDINAL
ap-1811	39	4	1	CARDINAL
ap-1811	41	1	0	CARDINAL
ap-1811	42	1	noether symmetries	PERSON
ap-1811	42	2	five	CARDINAL
ap-1811	42	3	one-degree-offreedom	QUANTITY
ap-1811	45	1	hamiltonian	NORP
ap-1811	45	2	2i∂u	ORG
ap-1811	45	3	0	CARDINAL
ap-1811	46	1	2t∂t	CARDINAL
ap-1811	48	1	ix2 −	ORG
ap-1811	50	1	five	CARDINAL
ap-1811	50	2	five	CARDINAL
ap-1811	50	3	1 2	CARDINAL
ap-1811	50	4	2	CARDINAL
ap-1811	51	1	1	CARDINAL
ap-1811	52	1	one	CARDINAL
ap-1811	53	1	+	CARDINAL
ap-1811	53	2	1 2	CARDINAL
ap-1811	53	3	+ b(t	PERSON
ap-1811	54	1	1 4	CARDINAL
ap-1811	54	2	iä(t)x2	ORG
ap-1811	54	3	σ = a(t)∂t	PERSON
ap-1811	55	1	+	CARDINAL
ap-1811	55	2	1 2	CARDINAL
ap-1811	55	3	+ b(t	PERSON
ap-1811	56	1	1 4	DATE
ap-1811	56	2	c(t	ORG
ap-1811	56	3	c(t	ORG
ap-1811	57	1	1 4	DATE
ap-1811	59	1	3	CARDINAL
ap-1811	59	2	0	CARDINAL
ap-1811	60	1	0	CARDINAL
ap-1811	65	1	2t+	ORDINAL
ap-1811	65	2	x2)u∂u	GPE
ap-1811	65	3	∆4	ORG
ap-1811	65	4	− xu∂u	PERSON
ap-1811	66	1	w3 } ⊕s ∞a1	PERSON
ap-1811	68	1	8	CARDINAL
ap-1811	69	1	4	CARDINAL
ap-1811	69	2	approximately 40 years ago	DATE
ap-1811	70	1	1	CARDINAL
ap-1811	70	2	2	CARDINAL
ap-1811	71	1	9–12	CARDINAL
ap-1811	74	1	black-scholes	PERSON
ap-1811	74	2	+ 1	DATE
ap-1811	74	3	2x2uxx	CARDINAL
ap-1811	74	4	0	CARDINAL
ap-1811	75	1	303	CARDINAL
ap-1811	75	2	p. g. l. leach acta polytechnica financial processes	PERSON
ap-1811	77	1	firstly	ORDINAL
ap-1811	77	2	gasizov	PERSON
ap-1811	77	3	5	CARDINAL
ap-1811	78	1	u(t	ORG
ap-1811	80	1	2tx∂x	CARDINAL
ap-1811	81	1	2	CARDINAL
ap-1811	83	1	2	CARDINAL
ap-1811	83	2	4r	CARDINAL
ap-1811	83	3	x∂x	PERSON
ap-1811	85	1	4	CARDINAL
ap-1811	85	2	x)2	GPE
ap-1811	86	1	w3	PRODUCT
ap-1811	86	2	three	CARDINAL
ap-1811	90	1	7→	CARDINAL
ap-1811	90	2	7→	CARDINAL
ap-1811	90	3	1 2	CARDINAL
ap-1811	90	4	1− 2r	CARDINAL
ap-1811	91	1	+ 1 8σ2	DATE
ap-1811	91	2	2	CARDINAL
ap-1811	91	3	2wt	ORG
ap-1811	92	1	0	CARDINAL
ap-1811	94	1	one	CARDINAL
ap-1811	96	1	5	CARDINAL
ap-1811	96	2	the department of physics	ORG
ap-1811	96	3	johannesburg	GPE
ap-1811	96	4	1996	DATE
ap-1811	98	1	w3} ⊕s∞a1	ORG
ap-1811	99	1	1 + 1	CARDINAL
ap-1811	100	1	eduardo schwartz	PERSON
ap-1811	101	1	3	CARDINAL
ap-1811	101	2	6	DATE
ap-1811	101	3	14	CARDINAL
ap-1811	101	4	15	CARDINAL
ap-1811	102	1	schwartz	ORG
ap-1811	102	2	one	CARDINAL
ap-1811	102	3	two	CARDINAL
ap-1811	102	4	three	CARDINAL
ap-1811	105	1	norwegian	NORP
ap-1811	106	1	5	CARDINAL
ap-1811	108	1	one	CARDINAL
ap-1811	108	2	one	CARDINAL
ap-1811	113	1	one	CARDINAL
ap-1811	117	1	304	CARDINAL
ap-1811	118	1	53	CARDINAL
ap-1811	119	1	linear	ORG
ap-1811	120	1	γ = σi=6 i=1αiγi	ORG
ap-1811	123	1	six	CARDINAL
ap-1811	123	2	two	CARDINAL
ap-1811	124	1	non-abelian	NORP
ap-1811	127	1	6	CARDINAL
ap-1811	127	2	tantum adesse	PERSON
ap-1811	130	1	1 + 1	CARDINAL
ap-1811	131	1	schwartz	ORG
ap-1811	133	1	mc nucci	PERSON
ap-1811	133	2	di matematica e informatica	ORG
ap-1811	133	3	università di perugia	PERSON
ap-1811	134	1	the university of kwazulunatal	ORG
ap-1811	134	2	the national research foundation of south africa	ORG
ap-1811	135	1	two	CARDINAL
ap-1811	136	1	1	CARDINAL
ap-1811	136	2	fischer & scholes myron	ORG
ap-1811	136	3	1972	DATE
ap-1811	136	4	27 399–417	DATE
ap-1811	137	1	2	CARDINAL
ap-1811	137	2	fischer & scholes myron	ORG
ap-1811	137	3	1973	DATE
ap-1811	137	4	81 637–659	CARDINAL
ap-1811	138	1	3	CARDINAL
ap-1811	138	2	brennan mj & schwartz	ORG
ap-1811	138	3	1985	DATE
ap-1811	138	4	58 133–155	DATE
ap-1811	139	1	4	CARDINAL
ap-1811	139	2	dirac pam	PERSON
ap-1811	139	3	1932	DATE
ap-1811	139	4	cambridge	GPE
ap-1811	139	5	the clarendon press	ORG
ap-1811	140	1	5	CARDINAL
ap-1811	140	2	1998	DATE
ap-1811	140	3	17 387–407	DATE
ap-1811	141	1	6	CARDINAL
ap-1811	141	2	gibson r & schwartz	ORG
ap-1811	141	3	1990	DATE
ap-1811	141	4	45 959–976	CARDINAL
ap-1811	142	1	7	CARDINAL
ap-1811	142	2	soh	ORG
ap-1811	142	3	1997	DATE
ap-1811	142	4	naqvi kr &	ORG
ap-1811	142	5	e edd	ORG
ap-1811	142	6	norway	GPE
ap-1811	143	1	8	CARDINAL
ap-1811	143	2	2006	DATE
ap-1811	143	3	322 288–297	CARDINAL
ap-1811	144	1	9	CARDINAL
ap-1811	144	2	1969	DATE
ap-1811	144	3	lifetime	DATE
ap-1811	144	4	51 247–257	CARDINAL
ap-1811	145	1	10	CARDINAL
ap-1811	145	2	1971	DATE
ap-1811	145	3	373–413	MONEY
ap-1811	146	1	11	CARDINAL
ap-1811	146	2	robert c	PERSON
ap-1811	146	3	1973	DATE
ap-1811	146	4	bell journal of economics	ORG
ap-1811	146	5	4 141–183	CARDINAL
ap-1811	147	1	12	CARDINAL
ap-1811	147	2	1974	DATE
ap-1811	147	3	29 449–470	CARDINAL
ap-1811	148	1	13	CARDINAL
ap-1811	148	2	1918	DATE
ap-1811	148	3	2 235–267	CARDINAL
ap-1811	149	1	14	CARDINAL
ap-1811	149	2	52 923–973	PERCENT
ap-1811	150	1	15	CARDINAL
ap-1811	150	2	pgl &	ORG
ap-1811	150	3	andriopoulos k	PERSON
ap-1811	150	4	2008	DATE
ap-1811	150	5	31 679–694	DATE
ap-1811	151	1	305	CARDINAL
ap-1811	151	2	53(3):302–305	CARDINAL
ap-1811	151	3	2013 1	DATE
ap-1811	151	4	2	CARDINAL
ap-1811	151	5	3	CARDINAL
ap-1811	151	6	4	CARDINAL
ap-1811	151	7	5	CARDINAL
ap-1811	151	8	6	CARDINAL