id	sid	eid	entity	type
aiti-203	2	1	2	CARDINAL
aiti-203	2	2	1	CARDINAL
aiti-203	2	3	2017	DATE
aiti-203	4	1	circle ching-shoei chiang	PERSON
aiti-203	4	2	soochow university	ORG
aiti-203	4	3	taipei	GPE
aiti-203	4	4	taiwan	GPE
aiti-203	5	1	19	CARDINAL
aiti-203	5	2	february 2016	DATE
aiti-203	5	3	april 2016	DATE
aiti-203	5	4	10	CARDINAL
aiti-203	5	5	april 2016	DATE
aiti-203	7	1	one	CARDINAL
aiti-203	8	1	2d	CARDINAL
aiti-203	11	1	4	CARDINAL
aiti-203	11	2	4	CARDINAL
aiti-203	12	1	4	CARDINAL
aiti-203	13	1	1	CARDINAL
aiti-203	14	1	2d	DATE
aiti-203	16	1	malizia	GPE
aiti-203	17	1	1	CARDINAL
aiti-203	18	1	yang	PERSON
aiti-203	18	2	lu	PERSON
aiti-203	18	3	chinese	NORP
aiti-203	19	1	chang	PERSON
aiti-203	20	1	kot[4	PERSON
aiti-203	24	1	2	CARDINAL
aiti-203	24	2	first	ORDINAL
aiti-203	25	1	two	CARDINAL
aiti-203	25	2	two	CARDINAL
aiti-203	27	1	1	CARDINAL
aiti-203	27	2	first	ORDINAL
aiti-203	27	3	second	ORDINAL
aiti-203	27	4	p1 =(-cosθ	PERSON
aiti-203	27	5	sinθ	ORG
aiti-203	28	1	sinθ	ORG
aiti-203	28	2	cosθ	ORG
aiti-203	30	1	chiang@scu.edu.tw advances	PERSON
aiti-203	31	1	2	CARDINAL
aiti-203	31	2	1	CARDINAL
aiti-203	31	3	2017	DATE
aiti-203	32	1	08 12 9	DATE
aiti-203	32	2	1	CARDINAL
aiti-203	32	3	two	CARDINAL
aiti-203	32	4	0	DATE
aiti-203	32	5	p1 =(-cosθ	PERSON
aiti-203	32	6	sinθ	ORG
aiti-203	32	7	α1(sinθ	TIME
aiti-203	32	8	cosθ	ORG
aiti-203	32	9	h1(t;θ	CARDINAL
aiti-203	32	10	α0,α1	DATE
aiti-203	32	11	0	CARDINAL
aiti-203	33	1	h1(t;θ	DATE
aiti-203	33	2	α0,α1	DATE
aiti-203	34	1	first	ORDINAL
aiti-203	34	2	-1,0	ORG
aiti-203	37	1	two	CARDINAL
aiti-203	37	2	1	CARDINAL
aiti-203	37	3	α0,α1	CARDINAL
aiti-203	37	4	0	CARDINAL
aiti-203	37	5	0	CARDINAL
aiti-203	37	6	↔	ORG
aiti-203	37	7	2	CARDINAL
aiti-203	38	1	ma	PERSON
aiti-203	38	2	sinθ	ORG
aiti-203	38	3	-1,0	ORG
aiti-203	38	4	r(t;θ	PERSON
aiti-203	39	1	2	CARDINAL
aiti-203	39	2	α0,α1	DATE
aiti-203	39	3	5	CARDINAL
aiti-203	39	4	5	CARDINAL
aiti-203	40	1	ma	PERSON
aiti-203	42	1	more than one	CARDINAL
aiti-203	42	2	more than one	CARDINAL
aiti-203	42	3	only two	CARDINAL
aiti-203	42	4	one	CARDINAL
aiti-203	48	1	ma	PERSON
aiti-203	48	2	3	CARDINAL
aiti-203	48	3	2	CARDINAL
aiti-203	49	1	c(t	ORG
aiti-203	50	1	2	CARDINAL
aiti-203	50	2	2	CARDINAL
aiti-203	50	3	1+t2	CARDINAL
aiti-203	51	1	y=tx.	PERSON
aiti-203	52	1	tx	ORG
aiti-203	53	1	c(t	ORG
aiti-203	53	2	c(t	ORG
aiti-203	54	1	2	CARDINAL
aiti-203	55	1	ma	PERSON
aiti-203	55	2	c(t	ORG
aiti-203	55	3	4	CARDINAL
aiti-203	55	4	xm	ORG
aiti-203	55	5	x′	DATE
aiti-203	55	6	xm	ORG
aiti-203	55	7	rm	PERSON
aiti-203	55	8	xm	ORG
aiti-203	55	9	y)∙(x′,y′	PERSON
aiti-203	55	10	1,t)∙(x′,y′	CARDINAL
aiti-203	55	11	1,t	CARDINAL
aiti-203	56	1	1,t)∙(−y	CARDINAL
aiti-203	56	2	1,t)∙(x′,y′	CARDINAL
aiti-203	56	3	∙	ORG
aiti-203	56	4	two	CARDINAL
aiti-203	56	5	2	CARDINAL
aiti-203	57	1	ma	PERSON
aiti-203	61	1	3	CARDINAL
aiti-203	62	1	2	CARDINAL
aiti-203	62	2	1	CARDINAL
aiti-203	62	3	2017	DATE
aiti-203	63	1	08 12 10	DATE
aiti-203	70	1	c(t2	WORK_OF_ART
aiti-203	71	1	2	CARDINAL
aiti-203	72	1	y-y(t0	ORG
aiti-203	72	2	2	CARDINAL
aiti-203	72	3	2	CARDINAL
aiti-203	73	1	2	CARDINAL
aiti-203	73	2	first	ORDINAL
aiti-203	73	3	two	CARDINAL
aiti-203	74	1	third	ORDINAL
aiti-203	74	2	two	CARDINAL
aiti-203	75	1	3	CARDINAL
aiti-203	75	2	4	CARDINAL
aiti-203	76	1	ma	PERSON
aiti-203	77	1	1	CARDINAL
aiti-203	77	2	one	CARDINAL
aiti-203	78	1	1	CARDINAL
aiti-203	78	2	cramer	PERSON
aiti-203	78	3	first	ORDINAL
aiti-203	78	4	2	CARDINAL
aiti-203	78	5	two	CARDINAL
aiti-203	79	1	2	CARDINAL
aiti-203	79	2	third	ORDINAL
aiti-203	79	3	one	CARDINAL
aiti-203	79	4	2	CARDINAL
aiti-203	80	1	3	CARDINAL
aiti-203	80	2	one	CARDINAL
aiti-203	80	3	one	CARDINAL
aiti-203	81	1	ma	PERSON
aiti-203	81	2	two	CARDINAL
aiti-203	82	1	one	CARDINAL
aiti-203	83	1	0	CARDINAL
aiti-203	84	1	one	CARDINAL
aiti-203	85	1	two	CARDINAL
aiti-203	86	1	one	CARDINAL
aiti-203	87	1	first	ORDINAL
aiti-203	88	1	first	ORDINAL
aiti-203	88	2	1	CARDINAL
aiti-203	89	1	4	CARDINAL
aiti-203	89	2	xm	ORG
aiti-203	89	3	rm	PERSON
aiti-203	90	1	two	CARDINAL
aiti-203	90	2	two	CARDINAL
aiti-203	91	1	+ 1	DATE
aiti-203	91	2	xm	ORG
aiti-203	91	3	one	CARDINAL
aiti-203	91	4	10	CARDINAL
aiti-203	94	1	2	CARDINAL
aiti-203	94	2	#	CARDINAL
aiti-203	95	1	ma	PERSON
aiti-203	96	1	2	CARDINAL
aiti-203	96	2	two	CARDINAL
aiti-203	96	3	2	CARDINAL
aiti-203	96	4	srad	ORG
aiti-203	96	5	two	CARDINAL
aiti-203	96	6	1	CARDINAL
aiti-203	97	1	3	CARDINAL
aiti-203	98	1	|dist	NORP
aiti-203	98	2	tmin+tmax)/2	TIME
aiti-203	98	3	#	CARDINAL
aiti-203	98	4	1	CARDINAL
aiti-203	99	1	dist	NORP
aiti-203	99	2	srad	ORG
aiti-203	99	3	two	CARDINAL
aiti-203	100	1	dist srad	PERSON
aiti-203	100	2	dist srad	PERSON
aiti-203	100	3	4	CARDINAL
aiti-203	103	1	2	CARDINAL
aiti-203	103	2	1	CARDINAL
aiti-203	103	3	2017	DATE
aiti-203	104	1	08 12 11	DATE
aiti-203	105	1	4	CARDINAL
aiti-203	106	1	first	ORDINAL
aiti-203	106	2	two	CARDINAL
aiti-203	107	1	third	ORDINAL
aiti-203	107	2	fourth	ORDINAL
aiti-203	108	1	1	CARDINAL
aiti-203	110	1	2	CARDINAL
aiti-203	111	1	2	CARDINAL
aiti-203	111	2	2	CARDINAL
aiti-203	111	3	α1=8	CARDINAL
aiti-203	112	1	3	CARDINAL
aiti-203	113	1	3 symm	QUANTITY
aiti-203	114	1	one	CARDINAL
aiti-203	116	1	3(b	CARDINAL
aiti-203	117	1	two	CARDINAL
aiti-203	117	2	ma	PERSON
aiti-203	118	1	3	CARDINAL
aiti-203	119	1	5/6	CARDINAL
aiti-203	120	1	fig.	DATE
aiti-203	121	1	4	CARDINAL
aiti-203	122	1	4	CARDINAL
aiti-203	122	2	4	CARDINAL
aiti-203	122	3	fig.	DATE
aiti-203	123	1	fig	ORG
aiti-203	124	1	5	CARDINAL
aiti-203	125	1	5	CARDINAL
aiti-203	126	1	4.	CARDINAL
aiti-203	126	2	h1(t;θ	GPE
aiti-203	126	3	α0,α1	DATE
aiti-203	128	1	chinese	NORP
aiti-203	130	1	two	CARDINAL
aiti-203	130	2	h1(t;θ	DATE
aiti-203	130	3	α0,α1	DATE
aiti-203	130	4	two	CARDINAL
aiti-203	131	1	7	CARDINAL
aiti-203	131	2	4	CARDINAL
aiti-203	131	3	3	CARDINAL
aiti-203	133	1	2	CARDINAL
aiti-203	133	2	1	CARDINAL
aiti-203	133	3	2017	DATE
aiti-203	134	1	08 12 12	DATE
aiti-203	135	1	h1(t;θ	GPE
aiti-203	135	2	α0,α1	DATE
aiti-203	142	1	the national science council	ORG
aiti-203	142	2	taiwan	GPE
aiti-203	142	3	104-2221-e-031-001	DATE
aiti-203	143	1	1	CARDINAL
aiti-203	143	2	s. levialdi	PERSON
aiti-203	143	3	a. malizia	PERSON
aiti-203	143	4	19	CARDINAL
aiti-203	144	1	821-828	CARDINAL
aiti-203	144	2	1998	DATE
aiti-203	145	1	2	CARDINAL
aiti-203	145	2	h. m. yang	PERSON
aiti-203	145	3	j. j. lu	PERSON
aiti-203	145	4	h. j. lee	PERSON
aiti-203	145	5	chinese	NORP
aiti-203	145	6	sixth	ORDINAL
aiti-203	145	7	276-280	CARDINAL
aiti-203	146	1	3	CARDINAL
aiti-203	146	2	h. h. chang	PERSON
aiti-203	146	3	h. yan	PERSON
aiti-203	146	4	31	DATE
aiti-203	146	5	11	CARDINAL
aiti-203	146	6	1747-1755	CARDINAL
aiti-203	146	7	1998	DATE
aiti-203	147	1	4	CARDINAL
aiti-203	147	2	a. c. kot	PERSON
aiti-203	147	3	5	CARDINAL
aiti-203	147	4	2	CARDINAL
aiti-203	147	5	314	CARDINAL
aiti-203	147	6	2010	DATE
aiti-203	148	1	5	CARDINAL
aiti-203	148	2	z. jia	PERSON
aiti-203	148	3	j. liu	PERSON
aiti-203	149	1	26	CARDINAL
aiti-203	149	2	4	CARDINAL
aiti-203	150	1	444	CARDINAL
aiti-203	150	2	2009	DATE
aiti-203	151	1	6	CARDINAL
aiti-203	151	2	p. qin	PERSON
aiti-203	151	3	c. chen	PERSON
aiti-203	151	4	bezier surfaces	PERSON
aiti-203	152	1	6	CARDINAL
aiti-203	152	2	2	CARDINAL
aiti-203	153	1	65	CARDINAL
aiti-203	154	1	7	CARDINAL
aiti-203	154	2	c. s. chiang	PERSON
aiti-203	154	3	l. y. hsu	PERSON
aiti-203	154	4	chinese	NORP
aiti-203	154	5	july 2013	DATE
aiti-203	155	1	8	CARDINAL
aiti-203	155	2	c. s. chiang	PERSON
aiti-203	156	1	22	CARDINAL
aiti-203	156	2	2015	DATE