id	sid	eid	entity	type
aiti-808	1	1	encit2010	ORG
aiti-808	1	2	4	CARDINAL
aiti-808	1	3	2	CARDINAL
aiti-808	1	4	2019	DATE
aiti-808	2	1	116 124	CARDINAL
aiti-808	2	2	tzu-hsia chen 1*	PERSON
aiti-808	2	3	long-chang hsieh 2 1	PERSON
aiti-808	2	4	university of science and technology	ORG
aiti-808	2	5	taiwan	GPE
aiti-808	2	6	roc	GPE
aiti-808	2	7	2	CARDINAL
aiti-808	2	8	national formosa university	ORG
aiti-808	2	9	yunlin	GPE
aiti-808	2	10	taiwan	GPE
aiti-808	2	11	roc	GPE
aiti-808	2	12	05	CARDINAL
aiti-808	2	13	june 2017	DATE
aiti-808	2	14	09 july 2017	DATE
aiti-808	2	15	29	CARDINAL
aiti-808	2	16	july 2017	DATE
aiti-808	2	17	3	CARDINAL
aiti-808	3	1	first	ORDINAL
aiti-808	3	2	2 degrees	QUANTITY
aiti-808	4	1	14	CARDINAL
aiti-808	5	1	one	CARDINAL
aiti-808	7	1	yan	PERSON
aiti-808	7	2	1	CARDINAL
aiti-808	7	3	modern days	DATE
aiti-808	13	1	two	CARDINAL
aiti-808	14	1	1-2	CARDINAL
aiti-808	14	2	3-5	CARDINAL
aiti-808	16	1	first	ORDINAL
aiti-808	17	1	2 degrees	QUANTITY
aiti-808	18	1	2	CARDINAL
aiti-808	20	1	6-11	CARDINAL
aiti-808	21	1	one	CARDINAL
aiti-808	23	1	2	CARDINAL
aiti-808	27	1	3023	CARDINAL
aiti-808	27	2	4	CARDINAL
aiti-808	27	3	2	CARDINAL
aiti-808	27	4	2019	DATE
aiti-808	28	1	116	CARDINAL
aiti-808	30	1	1	CARDINAL
aiti-808	30	2	1	CARDINAL
aiti-808	32	1	1	CARDINAL
aiti-808	32	2	1	CARDINAL
aiti-808	32	3	2	CARDINAL
aiti-808	32	4	3	CARDINAL
aiti-808	34	1	2(c	CARDINAL
aiti-808	36	1	fig	ORG
aiti-808	37	1	2	CARDINAL
aiti-808	37	2	6	CARDINAL
aiti-808	37	3	6	CARDINAL
aiti-808	37	4	5	CARDINAL
aiti-808	37	5	1	CARDINAL
aiti-808	38	1	the 1st	DATE
aiti-808	38	2	2	CARDINAL
aiti-808	38	3	2nd	ORDINAL
aiti-808	38	4	6	CARDINAL
aiti-808	40	1	2	CARDINAL
aiti-808	40	2	3	CARDINAL
aiti-808	41	1	1	CARDINAL
aiti-808	42	1	6	CARDINAL
aiti-808	42	2	1	CARDINAL
aiti-808	43	1	2	CARDINAL
aiti-808	43	2	6	CARDINAL
aiti-808	43	3	6	CARDINAL
aiti-808	43	4	5	CARDINAL
aiti-808	43	5	1	CARDINAL
aiti-808	43	6	6	CARDINAL
aiti-808	43	7	6(6	CARDINAL
aiti-808	43	8	8 2f	QUANTITY
aiti-808	46	1		PERSON
aiti-808	46	2		PERSON
aiti-808	46	3	2	CARDINAL
aiti-808	46	4	3	CARDINAL
aiti-808	47	1	2 degrees	QUANTITY
aiti-808	48	1	2	CARDINAL
aiti-808	49	1	3	CARDINAL
aiti-808	49	2	1 redundant degree	QUANTITY
aiti-808	50	1	yan	PERSON
aiti-808	50	2	6-10	CARDINAL
aiti-808	52	1	3	CARDINAL
aiti-808	52	2	yan	ORG
aiti-808	53	1	4	CARDINAL
aiti-808	53	2	2	CARDINAL
aiti-808	53	3	2019	DATE
aiti-808	54	1	116	CARDINAL
aiti-808	55	1	7	CARDINAL
aiti-808	55	2	1	CARDINAL
aiti-808	55	3	2	CARDINAL
aiti-808	56	1	2	CARDINAL
aiti-808	57	1	3	CARDINAL
aiti-808	57	2	atlas	PERSON
aiti-808	58	1	4	CARDINAL
aiti-808	58	2	3	CARDINAL
aiti-808	59	1	5	CARDINAL
aiti-808	59	2	4	CARDINAL
aiti-808	59	3	atlas	PERSON
aiti-808	60	1	3.1	CARDINAL
aiti-808	61	1	topological	ORG
aiti-808	61	2	first	ORDINAL
aiti-808	65	1	2	CARDINAL
aiti-808	65	2	3 degrees	QUANTITY
aiti-808	68	1	1	CARDINAL
aiti-808	68	2	j=6, jr=5	GPE
aiti-808	68	3	6	CARDINAL
aiti-808	68	4	6	DATE
aiti-808	68	5	2 degrees	QUANTITY
aiti-808	70	1	1	CARDINAL
aiti-808	70	2	n=5	PERSON
aiti-808	71	1	2	CARDINAL
aiti-808	71	2	5	CARDINAL
aiti-808	71	3	5	DATE
aiti-808	71	4	3 degrees	QUANTITY
aiti-808	72	1	1	CARDINAL
aiti-808	73	1	4	CARDINAL
aiti-808	73	2	2	CARDINAL
aiti-808	73	3	2019	DATE
aiti-808	74	1	116	CARDINAL
aiti-808	74	2	1	CARDINAL
aiti-808	74	3	2	CARDINAL
aiti-808	74	4	1	CARDINAL
aiti-808	74	5	6	CARDINAL
aiti-808	75	1	2	CARDINAL
aiti-808	75	2	2	CARDINAL
aiti-808	75	3	1	CARDINAL
aiti-808	76	1	3	CARDINAL
aiti-808	77	1	4	CARDINAL
aiti-808	78	1	5	CARDINAL
aiti-808	78	2	2	CARDINAL
aiti-808	78	3	at least 1	CARDINAL
aiti-808	79	1	6	CARDINAL
aiti-808	79	2	3	CARDINAL
aiti-808	79	3	at least 2	CARDINAL
aiti-808	80	1	3.2	CARDINAL
aiti-808	81	1	atlas	PERSON
aiti-808	81	2	5	CARDINAL
aiti-808	81	3	5	CARDINAL
aiti-808	81	4	6	CARDINAL
aiti-808	82	1	4	CARDINAL
aiti-808	82	2	second	ORDINAL
aiti-808	83	1	only 1	CARDINAL
aiti-808	83	2	5	CARDINAL
aiti-808	83	3	5	CARDINAL
aiti-808	83	4	only 1	CARDINAL
aiti-808	83	5	6	CARDINAL
aiti-808	83	6	6	CARDINAL
aiti-808	85	1	4	CARDINAL
aiti-808	86	1	3.3	CARDINAL
aiti-808	88	1	1	CARDINAL
aiti-808	88	2	first	ORDINAL
aiti-808	88	3	second	ORDINAL
aiti-808	89	1	2	CARDINAL
aiti-808	89	2	2	CARDINAL
aiti-808	90	1	3	CARDINAL
aiti-808	91	1	4	CARDINAL
aiti-808	91	2	2	CARDINAL
aiti-808	92	1	5	CARDINAL
aiti-808	92	2	2	CARDINAL
aiti-808	92	3	6	CARDINAL
aiti-808	92	4	5	CARDINAL
aiti-808	92	5	1	CARDINAL
aiti-808	93	1	6	CARDINAL
aiti-808	93	2	2	CARDINAL
aiti-808	93	3	5	CARDINAL
aiti-808	93	4	5	CARDINAL
aiti-808	93	5	3	CARDINAL
aiti-808	93	6	2	CARDINAL
aiti-808	94	1	7	CARDINAL
aiti-808	94	2	3	CARDINAL
aiti-808	94	3	2	CARDINAL
aiti-808	94	4	1	CARDINAL
aiti-808	95	1	3.4	CARDINAL
aiti-808	95	2	third	ORDINAL
aiti-808	97	1	4	CARDINAL
aiti-808	97	2	2	CARDINAL
aiti-808	97	3	2019	DATE
aiti-808	98	1	116 124	PERCENT
aiti-808	98	2	1	CARDINAL
aiti-808	99	1	2	CARDINAL
aiti-808	100	1	5(a	CARDINAL
aiti-808	100	2	5(b	CARDINAL
aiti-808	101	1	2	CARDINAL
aiti-808	101	2	1	CARDINAL
aiti-808	101	3	first	ORDINAL
aiti-808	101	4	second	ORDINAL
aiti-808	103	1	5(a	CARDINAL
aiti-808	103	2	5(b	CARDINAL
aiti-808	103	3	2	CARDINAL
aiti-808	104	1	6(a	CARDINAL
aiti-808	104	2	6(b	CARDINAL
aiti-808	105	1	3	CARDINAL
aiti-808	105	2	2	CARDINAL
aiti-808	107	1	5	CARDINAL
aiti-808	107	2	5(b	CARDINAL
aiti-808	107	3	5	CARDINAL
aiti-808	108	1	4	CARDINAL
aiti-808	108	2	3	CARDINAL
aiti-808	109	1	5	CARDINAL
aiti-808	109	2	5	CARDINAL
aiti-808	109	3	2	CARDINAL
aiti-808	110	1	8(b	CARDINAL
aiti-808	111	1	6	CARDINAL
aiti-808	111	2	12	CARDINAL
aiti-808	112	1	9(a)-9(e	CARDINAL
aiti-808	114	1	5	CARDINAL
aiti-808	115	1	6	CARDINAL
aiti-808	115	2	first	ORDINAL
aiti-808	115	3	second	ORDINAL
aiti-808	116	1	7	CARDINAL
aiti-808	117	1	8	CARDINAL
aiti-808	117	2	5	CARDINAL
aiti-808	117	3	5	CARDINAL
aiti-808	117	4	4	CARDINAL
aiti-808	117	5	2	CARDINAL
aiti-808	117	6	2019	DATE
aiti-808	118	1	116 124 6	MONEY
aiti-808	119	1	9	CARDINAL
aiti-808	119	2	6	CARDINAL
aiti-808	119	3	3.5	CARDINAL
aiti-808	120	1	particularization	ORG
aiti-808	121	1	10	CARDINAL
aiti-808	121	2	5	CARDINAL
aiti-808	121	3	5	CARDINAL
aiti-808	122	1	11	CARDINAL
aiti-808	122	2	6	CARDINAL
aiti-808	122	3	4	CARDINAL
aiti-808	122	4	2	CARDINAL
aiti-808	122	5	2019	DATE
aiti-808	123	1	116 124 7	DATE
aiti-808	126	1	10(a	CARDINAL
aiti-808	126	2	10(b	CARDINAL
aiti-808	126	3	2	CARDINAL
aiti-808	126	4	5	CARDINAL
aiti-808	126	5	5	CARDINAL
aiti-808	127	1	11(a)-11(l	CARDINAL
aiti-808	127	2	12	CARDINAL
aiti-808	127	3	6	CARDINAL
aiti-808	130	1	2	CARDINAL
aiti-808	130	2	only 11	CARDINAL
aiti-808	130	3	6	CARDINAL
aiti-808	130	4	2	CARDINAL
aiti-808	130	5	5	CARDINAL
aiti-808	130	6	5	CARDINAL
aiti-808	131	1	13	CARDINAL
aiti-808	132	1	4	CARDINAL
aiti-808	133	1	fig.10	CARDINAL
aiti-808	134	1	12	CARDINAL
aiti-808	134	2	fig	ORG
aiti-808	135	1	13	CARDINAL
aiti-808	136	1	2	CARDINAL
aiti-808	137	1	2	CARDINAL
aiti-808	139	1	2	CARDINAL
aiti-808	139	2	7⁰	CARDINAL
aiti-808	141	1	14	CARDINAL
aiti-808	142	1	fig	ORG
aiti-808	143	1	12	CARDINAL
aiti-808	144	1	xy plane	ORG
aiti-808	144	2	xz plane fig	ORG
aiti-808	145	1	13	CARDINAL
aiti-808	145	2	2	CARDINAL
aiti-808	145	3	0	CARDINAL
aiti-808	145	4	0	CARDINAL
aiti-808	145	5	7	CARDINAL
aiti-808	145	6	2(mm	CARDINAL
aiti-808	145	7	2(mm	CARDINAL
aiti-808	145	8	2(mm	DATE
aiti-808	145	9	2(mm	CARDINAL
aiti-808	145	10	2(mm	CARDINAL
aiti-808	146	1	7(mm	CARDINAL
aiti-808	146	2	11(mm	CARDINAL
aiti-808	146	3	7(mm	CARDINAL
aiti-808	146	4	7(mm	CARDINAL
aiti-808	146	5	11(mm	CARDINAL
aiti-808	146	6	21(mm	CARDINAL
aiti-808	146	7	41(mm	CARDINAL
aiti-808	146	8	22(mm	CARDINAL
aiti-808	146	9	33(mm	CARDINAL
aiti-808	146	10	50(mm	CARDINAL
aiti-808	146	11	33(mm	CARDINAL
aiti-808	146	12	2(mm	CARDINAL
aiti-808	146	13	2(mm	DATE
aiti-808	146	14	2(mm	CARDINAL
aiti-808	147	1	11(mm	CARDINAL
aiti-808	147	2	11(mm	CARDINAL
aiti-808	147	3	1(mm	CARDINAL
aiti-808	147	4	1(mm	CARDINAL
aiti-808	147	5	1(mm	CARDINAL
aiti-808	147	6	1(mm	CARDINAL
aiti-808	148	1	126	CARDINAL
aiti-808	148	2	128	CARDINAL
aiti-808	148	3	132	CARDINAL
aiti-808	148	4	136	CARDINAL
aiti-808	148	5	140	CARDINAL
aiti-808	148	6	187	CARDINAL
aiti-808	148	7	189	CARDINAL
aiti-808	148	8	108	CARDINAL
aiti-808	148	9	123	CARDINAL
aiti-808	148	10	128	CARDINAL
aiti-808	148	11	133	CARDINAL
aiti-808	148	12	4	CARDINAL
aiti-808	148	13	2	CARDINAL
aiti-808	148	14	2019	DATE
aiti-808	149	1	xy plane	ORG
aiti-808	149	2	xz plane fig	ORG
aiti-808	150	1	14	CARDINAL
aiti-808	150	2	xy plane	ORG
aiti-808	150	3	xz plane fig	ORG
aiti-808	151	1	15	CARDINAL
aiti-808	151	2	xy plane	ORG
aiti-808	151	3	xz plane fig	ORG
aiti-808	152	1	16	CARDINAL
aiti-808	152	2	5	CARDINAL
aiti-808	154	1	first	ORDINAL
aiti-808	155	1	13	CARDINAL
aiti-808	156	1	one	CARDINAL
aiti-808	159	1	6	CARDINAL
aiti-808	159	2	182	CARDINAL
aiti-808	159	3	184	CARDINAL
aiti-808	159	4	186	CARDINAL
aiti-808	159	5	188	CARDINAL
aiti-808	159	6	190	CARDINAL
aiti-808	159	7	-20 -10 0	FAC
aiti-808	160	1	128	CARDINAL
aiti-808	160	2	132	CARDINAL
aiti-808	160	3	136	CARDINAL
aiti-808	160	4	140	CARDINAL
aiti-808	160	5	187	CARDINAL
aiti-808	160	6	128	CARDINAL
aiti-808	161	1	132	CARDINAL
aiti-808	161	2	136	CARDINAL
aiti-808	166	1	8 10 12	CARDINAL
aiti-808	166	2	22	CARDINAL
aiti-808	166	3	180	CARDINAL
aiti-808	166	4	182	CARDINAL
aiti-808	166	5	184	CARDINAL
aiti-808	166	6	186	CARDINAL
aiti-808	166	7	188	CARDINAL
aiti-808	166	8	190	CARDINAL
aiti-808	166	9	8 10 12	CARDINAL
aiti-808	166	10	-81 -79 -77 -75	PERSON
aiti-808	168	1	4	CARDINAL
aiti-808	168	2	2	CARDINAL
aiti-808	168	3	2019	DATE
aiti-808	169	1	116 124 9	CARDINAL
aiti-808	169	2	1	CARDINAL
aiti-808	169	3	h. c. chen	PERSON
aiti-808	169	4	roc	GPE
aiti-808	169	5	june 21, 2005	DATE
aiti-808	170	1	2	CARDINAL
aiti-808	170	2	r. c. bai	PERSON
aiti-808	170	3	3d	CARDINAL
aiti-808	170	4	roc	GPE
aiti-808	170	5	march 11, 2016	DATE
aiti-808	171	1	3	CARDINAL
aiti-808	171	2	h. j. chang	PERSON
aiti-808	171	3	roc	GPE
aiti-808	171	4	april 21, 2006	DATE
aiti-808	172	1	4	CARDINAL
aiti-808	172	2	k. b. chen	PERSON
aiti-808	172	3	m. g. fang	PERSON
aiti-808	172	4	roc	GPE
aiti-808	172	5	july 21, 2016	DATE
aiti-808	173	1	5	CARDINAL
aiti-808	173	2	r. y. chen	PERSON
aiti-808	173	3	roc	GPE
aiti-808	173	4	i547273	GPE
aiti-808	173	5	september 01, 2016	DATE
aiti-808	174	1	6	CARDINAL
aiti-808	174	2	h. s. yan	PERSON
aiti-808	174	3	l. c. hsieh	PERSON
aiti-808	174	4	116	CARDINAL
aiti-808	174	5	2	CARDINAL
aiti-808	175	1	565-570	CARDINAL
aiti-808	175	2	1994	DATE
aiti-808	176	1	7	CARDINAL
aiti-808	176	2	h. s. yan	PERSON
aiti-808	176	3	singapore	GPE
aiti-808	176	4	new york	GPE
aiti-808	176	5	1998	DATE
aiti-808	177	1	8	CARDINAL
aiti-808	177	2	h. s. yan	PERSON
aiti-808	177	3	27	CARDINAL
aiti-808	177	4	3	CARDINAL
aiti-808	178	1	235242	DATE
aiti-808	178	2	1992	DATE
aiti-808	179	1	9	CARDINAL
aiti-808	179	2	l. c. hsieh	PERSON
aiti-808	179	3	t. h. chen	PERSON
aiti-808	179	4	9	CARDINAL
aiti-808	179	5	1	CARDINAL
aiti-808	179	6	318-324	CARDINAL
aiti-808	179	7	april 2012	DATE
aiti-808	180	1	10	CARDINAL
aiti-808	180	2	l. c. hsieh	PERSON
aiti-808	180	3	t. h. chen	PERSON
aiti-808	180	4	s. j. wei	PERSON
aiti-808	180	5	4	CARDINAL
aiti-808	181	1	10-12	CARDINAL
aiti-808	181	2	2016	DATE
aiti-808	182	1	11	CARDINAL
aiti-808	182	2	w.h. hsieh	PERSON
aiti-808	182	3	chen	PERSON
aiti-808	182	4	1	CARDINAL
aiti-808	182	5	1	CARDINAL
aiti-808	182	6	01-11, 2011	DATE
aiti-808	184	1	taeti	GPE
aiti-808	184	2	taiwan	GPE
aiti-808	185	1	https://creativecommons.org/licenses/by-nc/4.0/	ORG