id	sid	eid	entity	type
aiti-7988	1	1	4___aiti#7988_in	ORG
aiti-7988	1	2	7	CARDINAL
aiti-7988	1	3	1	CARDINAL
aiti-7988	1	4	2022	DATE
aiti-7988	2	1	41-55	CARDINAL
aiti-7988	2	2	jabbar hussein mohmmed *	PERSON
aiti-7988	2	3	mauwafak ali	PERSON
aiti-7988	2	4	qasim abbas	PERSON
aiti-7988	2	5	atiyah department	ORG
aiti-7988	2	6	university of technology	ORG
aiti-7988	2	7	baghdad	GPE
aiti-7988	2	8	iraq	GPE
aiti-7988	2	9	28	CARDINAL
aiti-7988	2	10	september 2021	DATE
aiti-7988	2	11	03	CARDINAL
aiti-7988	2	12	2021	CARDINAL
aiti-7988	2	13	euler-bernoulli	ORG
aiti-7988	10	1	1	CARDINAL
aiti-7988	14	1	1	CARDINAL
aiti-7988	18	1	the last six decades	DATE
aiti-7988	20	1	first	ORDINAL
aiti-7988	20	2	3	CARDINAL
aiti-7988	22	1	stein	PERSON
aiti-7988	23	1	4	CARDINAL
aiti-7988	25	1	5	CARDINAL
aiti-7988	26	1	plaut	PERSON
aiti-7988	27	1	6	CARDINAL
aiti-7988	27	2	hatfield et al	PERSON
aiti-7988	28	1	7	CARDINAL
aiti-7988	29	1	8	CARDINAL
aiti-7988	32	1	7	CARDINAL
aiti-7988	32	2	1	CARDINAL
aiti-7988	32	3	2022	DATE
aiti-7988	33	1	41-55	CARDINAL
aiti-7988	37	1	one	CARDINAL
aiti-7988	39	1	9	CARDINAL
aiti-7988	41	1	qian et al	PERSON
aiti-7988	42	1	9	CARDINAL
aiti-7988	43	1	zhao et al	PERSON
aiti-7988	44	1	10	CARDINAL
aiti-7988	45	1	kukla	PERSON
aiti-7988	46	1	11	CARDINAL
aiti-7988	47	1	blandino	GPE
aiti-7988	47	2	thornton	PERSON
aiti-7988	48	1	12	CARDINAL
aiti-7988	49	1	alfosail et al	PERSON
aiti-7988	50	1	13	CARDINAL
aiti-7988	51	1	gan et al	PERSON
aiti-7988	52	1	14	CARDINAL
aiti-7988	53	1	yang	PERSON
aiti-7988	53	2	wang	PERSON
aiti-7988	54	1	15	CARDINAL
aiti-7988	56	1	linear	ORG
aiti-7988	56	2	non-linear	ORG
aiti-7988	61	1	firstly	ORDINAL
aiti-7988	65	1	section 1	LAW
aiti-7988	66	1	section 2	LAW
aiti-7988	67	1	section 3	LAW
aiti-7988	68	1	section 4	LAW
aiti-7988	69	1	section 5	LAW
aiti-7988	70	1	2	CARDINAL
aiti-7988	70	2	2.1	CARDINAL
aiti-7988	73	1	42	CARDINAL
aiti-7988	74	1	7	CARDINAL
aiti-7988	74	2	1	CARDINAL
aiti-7988	74	3	2022	DATE
aiti-7988	75	1	41-55	CARDINAL
aiti-7988	76	1	16	CARDINAL
aiti-7988	77	1	18-19	CARDINAL
aiti-7988	79	1	0	CARDINAL
aiti-7988	79	2	0	CARDINAL
aiti-7988	80	1	1	CARDINAL
aiti-7988	80	2	1	CARDINAL
aiti-7988	81	1	2	CARDINAL
aiti-7988	83	1	2	CARDINAL
aiti-7988	83	2	1	CARDINAL
aiti-7988	83	3	2	DATE
aiti-7988	83	4	3	DATE
aiti-7988	84	1	2.2	CARDINAL
aiti-7988	86	1	20-21	CARDINAL
aiti-7988	91	1	0 ≤ x ≤	MONEY
aiti-7988	91	2	22	CARDINAL
aiti-7988	92	1	1	CARDINAL
aiti-7988	94	1	f f n xdx fπ= =∫	PERSON
aiti-7988	94	2	3	CARDINAL
aiti-7988	94	3	1	CARDINAL
aiti-7988	94	4	1	CARDINAL
aiti-7988	94	5	2	CARDINAL
aiti-7988	95	1	4	CARDINAL
aiti-7988	96	1	3	CARDINAL
aiti-7988	96	2	3.1	CARDINAL
aiti-7988	97	1	linear	ORG
aiti-7988	102	1	23	CARDINAL
aiti-7988	104	1	1	CARDINAL
aiti-7988	104	2	2	CARDINAL
aiti-7988	104	3	cartesian	NORP
aiti-7988	105	1	1	CARDINAL
aiti-7988	107	1	three	CARDINAL
aiti-7988	107	2	two	CARDINAL
aiti-7988	108	1	fig	PERSON
aiti-7988	109	1	3	CARDINAL
aiti-7988	110	1	43	CARDINAL
aiti-7988	110	2	7	CARDINAL
aiti-7988	110	3	1	CARDINAL
aiti-7988	110	4	2022	DATE
aiti-7988	111	1	41-55	CARDINAL
aiti-7988	111	2	1	CARDINAL
aiti-7988	111	3	0.025	CARDINAL
aiti-7988	111	4	0.018	CARDINAL
aiti-7988	111	5	0.0035	CARDINAL
aiti-7988	111	6	0.5	CARDINAL
aiti-7988	112	1	20-50	CARDINAL
aiti-7988	112	2	0.8	CARDINAL
aiti-7988	112	3	25°	QUANTITY
aiti-7988	112	4	0.38	CARDINAL
aiti-7988	112	5	50°	QUANTITY
aiti-7988	112	6	0.23	CARDINAL
aiti-7988	112	7	70°	QUANTITY
aiti-7988	112	8	3	CARDINAL
aiti-7988	112	9	909	CARDINAL
aiti-7988	112	10	3	CARDINAL
aiti-7988	112	11	1000	CARDINAL
aiti-7988	112	12	0.3	CARDINAL
aiti-7988	113	1	1 three	CARDINAL
aiti-7988	114	1	2	CARDINAL
aiti-7988	115	1	3	CARDINAL
aiti-7988	115	2	euler-bernoulli	ORG
aiti-7988	116	1	44	CARDINAL
aiti-7988	116	2	7	CARDINAL
aiti-7988	116	3	1	CARDINAL
aiti-7988	116	4	2022	DATE
aiti-7988	117	1	41-55	CARDINAL
aiti-7988	118	1	25	CARDINAL
aiti-7988	118	2	4	CARDINAL
aiti-7988	118	3	2	CARDINAL
aiti-7988	124	1	l x	PERSON
aiti-7988	126	1	∂−	GPE
aiti-7988	129	1	5	CARDINAL
aiti-7988	130	1	y(x	ORG
aiti-7988	131	1	1/°	QUANTITY
aiti-7988	132	1	tpt)x − ti	PERSON
aiti-7988	134	1	tpt)x	PERSON
aiti-7988	136	1	5	CARDINAL
aiti-7988	136	2	first	ORDINAL
aiti-7988	136	3	second	ORDINAL
aiti-7988	136	4	third	ORDINAL
aiti-7988	137	1	fifth	ORDINAL
aiti-7988	137	2	sixth	ORDINAL
aiti-7988	138	1	seventh	ORDINAL
aiti-7988	140	1	5	CARDINAL
aiti-7988	140	2	4	CARDINAL
aiti-7988	140	3	2	CARDINAL
aiti-7988	143	1	l x g n	PERSON
aiti-7988	143	2	tx	ORG
aiti-7988	144	1	∂−	GPE
aiti-7988	146	1	∂∂	NORP
aiti-7988	146	2	6	CARDINAL
aiti-7988	147	1	6	CARDINAL
aiti-7988	147	2	4	CARDINAL
aiti-7988	147	3	2	CARDINAL
aiti-7988	147	4	t φ φ φ φ φ	ORG
aiti-7988	147	5	θ θ θ	ORG
aiti-7988	150	1	7	CARDINAL
aiti-7988	150	2	8)	CARDINAL
aiti-7988	150	3	9	CARDINAL
aiti-7988	152	1	10	CARDINAL
aiti-7988	152	2	3	CARDINAL
aiti-7988	153	1	11	CARDINAL
aiti-7988	153	2	1 2	CARDINAL
aiti-7988	153	3	u vl ei =  	PERSON
aiti-7988	153	4		ORG
aiti-7988	154	1	12	CARDINAL
aiti-7988	154	2	45	CARDINAL
aiti-7988	155	1	7	CARDINAL
aiti-7988	155	2	1	CARDINAL
aiti-7988	155	3	2022	DATE
aiti-7988	156	1	41-55	CARDINAL
aiti-7988	157	1		PERSON
aiti-7988	157	2		ORG
aiti-7988	157	3	13	CARDINAL
aiti-7988	157	4	2 nl n	QUANTITY
aiti-7988	157	5	14	CARDINAL
aiti-7988	157	6	2	CARDINAL
aiti-7988	157	7	2 1	CARDINAL
aiti-7988	157	8	2	CARDINAL
aiti-7988	157	9	θ φ	ORG
aiti-7988	157	10	φ φ θ′′′′	ORG
aiti-7988	158	1	15	CARDINAL
aiti-7988	158	2	3.2	CARDINAL
aiti-7988	159	1	15	CARDINAL
aiti-7988	160	1	η(ζ	ORG
aiti-7988	161	1	16	CARDINAL
aiti-7988	161	2	γ(ζ	ORG
aiti-7988	162	1	1	CARDINAL
aiti-7988	162	2	0	CARDINAL
aiti-7988	162	3	0	CARDINAL
aiti-7988	162	4	0	CARDINAL
aiti-7988	162	5	1	CARDINAL
aiti-7988	162	6	0	CARDINAL
aiti-7988	164	1	16	CARDINAL
aiti-7988	165	1	15	CARDINAL
aiti-7988	165	2	2 1 21	DATE
aiti-7988	165	3	2	CARDINAL
aiti-7988	165	4	′′	ORG
aiti-7988	166	1	17	CARDINAL
aiti-7988	167	1	17	CARDINAL
aiti-7988	168	1	first	ORDINAL
aiti-7988	169	1	1	CARDINAL
aiti-7988	169	2	zero	CARDINAL
aiti-7988	170	1	2	CARDINAL
aiti-7988	170	2	2	CARDINAL
aiti-7988	170	3	18	CARDINAL
aiti-7988	171	1	18	CARDINAL
aiti-7988	173	1	3	CARDINAL
aiti-7988	174	1	18	CARDINAL
aiti-7988	174	2	1	CARDINAL
aiti-7988	174	3	2	CARDINAL
aiti-7988	178	1	′′′′	PRODUCT
aiti-7988	178	2	′′	ORG
aiti-7988	179	1	γ ′	ORG
aiti-7988	181	1	∫ ∫ ∫ ∫ ∫ ∫ ∫	ORG
aiti-7988	181	2	19	CARDINAL
aiti-7988	181	3	cosh l cos l cosh cos	ORG
aiti-7988	183	1	  	ORG
aiti-7988	183	2	20	CARDINAL
aiti-7988	183	3	46	CARDINAL
aiti-7988	184	1	7	CARDINAL
aiti-7988	184	2	1	CARDINAL
aiti-7988	184	3	2022	DATE
aiti-7988	185	1	41-55	CARDINAL
aiti-7988	185	2	  	ORG
aiti-7988	185	3	21	CARDINAL
aiti-7988	186	1	20	CARDINAL
aiti-7988	186	2	21	CARDINAL
aiti-7988	187	1	19	CARDINAL
aiti-7988	188	1	2	CARDINAL
aiti-7988	190	1	22	CARDINAL
aiti-7988	190	2	4	CARDINAL
aiti-7988	191	1	23	CARDINAL
aiti-7988	191	2	4	CARDINAL
aiti-7988	191	3	540	CARDINAL
aiti-7988	192	1		PERSON
aiti-7988	192	2	  	ORG
aiti-7988	192	3	24	CARDINAL
aiti-7988	192	4	1	CARDINAL
aiti-7988	193	1	21	CARDINAL
aiti-7988	193	2	25.20	CARDINAL
aiti-7988	193	3	first	ORDINAL
aiti-7988	195	1	23	CARDINAL
aiti-7988	196	1	19	CARDINAL
aiti-7988	196	2	1 5	CARDINAL
aiti-7988	196	3	1 1	CARDINAL
aiti-7988	196	4	12	CARDINAL
aiti-7988	197	1	1 1	CARDINAL
aiti-7988	198	1	1 1	CARDINAL
aiti-7988	198	2	1	CARDINAL
aiti-7988	198	3	1 1	CARDINAL
aiti-7988	198	4	1 1	CARDINAL
aiti-7988	199	1	1 1	CARDINAL
aiti-7988	199	2	1 1	CARDINAL
aiti-7988	199	3	24	CARDINAL
aiti-7988	200	1	1 1	CARDINAL
aiti-7988	201	1	1 2 1	QUANTITY
aiti-7988	202	1	1 1 ] n	QUANTITY
aiti-7988	202	2	θ π π π	ORG
aiti-7988	215	1		WORK_OF_ART
aiti-7988	215	2		PERSON
aiti-7988	215	3	4 1	CARDINAL
aiti-7988	216	1		PRODUCT
aiti-7988	216	2	25	CARDINAL
aiti-7988	216	3	1 1	CARDINAL
aiti-7988	217	1	1 1	CARDINAL
aiti-7988	217	2	1	CARDINAL
aiti-7988	218	1	26	CARDINAL
aiti-7988	219	1	25	CARDINAL
aiti-7988	219	2	1	CARDINAL
aiti-7988	220	1	27	CARDINAL
aiti-7988	220	2	1 11	CARDINAL
aiti-7988	220	3	24 242	CARDINAL
aiti-7988	220	4	1 1	CARDINAL
aiti-7988	221	1	1 1	CARDINAL
aiti-7988	221	2	1 1	CARDINAL
aiti-7988	221	3	24	CARDINAL
aiti-7988	222	1	1 1	CARDINAL
aiti-7988	222	2	24	CARDINAL
aiti-7988	223	1	1 1	CARDINAL
aiti-7988	224	1	1 2 1	QUANTITY
aiti-7988	225	1	1 1	CARDINAL
aiti-7988	225	2	θ π π π π +	ORG
aiti-7988	234	1	28	CARDINAL
aiti-7988	234	2	47	CARDINAL
aiti-7988	234	3	7	CARDINAL
aiti-7988	234	4	1	CARDINAL
aiti-7988	234	5	2022	DATE
aiti-7988	235	1	41-55	CARDINAL
aiti-7988	235	2	1 12 1 25	DATE
aiti-7988	235	3	1 1	CARDINAL
aiti-7988	236	1	1 1	CARDINAL
aiti-7988	240	1	29	CARDINAL
aiti-7988	241	1	1	CARDINAL
aiti-7988	241	2	1 1	CARDINAL
aiti-7988	241	3	1 1	CARDINAL
aiti-7988	246	1	30	CARDINAL
aiti-7988	246	2	22	CARDINAL
aiti-7988	246	3	1 1	CARDINAL
aiti-7988	247	1	1 1	CARDINAL
aiti-7988	251	1	31	CARDINAL
aiti-7988	251	2	4 1 1 5	DATE
aiti-7988	251	3	24 1	DATE
aiti-7988	251	4	1 1	CARDINAL
aiti-7988	252	1	1 1 ] n n	QUANTITY
aiti-7988	253	1	a s n n s s s θ π π ϕ ϕ +	WORK_OF_ART
aiti-7988	257	1	+ +	DATE
aiti-7988	257	2	32	CARDINAL
aiti-7988	258	1	4	CARDINAL
aiti-7988	258	2	cos .f	PERSON
aiti-7988	258	3	24 2	QUANTITY
aiti-7988	259	1		PERSON
aiti-7988	259	2		ORG
aiti-7988	260	1	33	CARDINAL
aiti-7988	260	2	2	CARDINAL
aiti-7988	270	1	  	ORG
aiti-7988	270	2	34	CARDINAL
aiti-7988	270	3	2	CARDINAL
aiti-7988	275	1	35	CARDINAL
aiti-7988	275	2	2	CARDINAL
aiti-7988	280	1	36	CARDINAL
aiti-7988	280	2	2 2	CARDINAL
aiti-7988	283	1	 	PERSON
aiti-7988	283	2		PRODUCT
aiti-7988	285	1	37	CARDINAL
aiti-7988	285	2	2	CARDINAL
aiti-7988	285	3	f ω ϕ= −	ORG
aiti-7988	285	4	38	CARDINAL
aiti-7988	285	5	ωn	CARDINAL
aiti-7988	286	1	2019b	DATE
aiti-7988	288	1	4	CARDINAL
aiti-7988	288	2	48	CARDINAL
aiti-7988	288	3	7	CARDINAL
aiti-7988	288	4	1	CARDINAL
aiti-7988	288	5	2022	DATE
aiti-7988	289	1	41-55	CARDINAL
aiti-7988	290	1	4	CARDINAL
aiti-7988	290	2	4	CARDINAL
aiti-7988	290	3	4.1	CARDINAL
aiti-7988	291	1	0.5	CARDINAL
aiti-7988	291	2	1	CARDINAL
aiti-7988	291	3	1.5	CARDINAL
aiti-7988	291	4	ni et al	PERSON
aiti-7988	292	1	26	CARDINAL
aiti-7988	292	2	liang et al	PERSON
aiti-7988	293	1	27	CARDINAL
aiti-7988	293	2	2	CARDINAL
aiti-7988	294	1	3	CARDINAL
aiti-7988	295	1	26	CARDINAL
aiti-7988	295	2	less than 2.46%	PERCENT
aiti-7988	296	1	two	CARDINAL
aiti-7988	298	1	26	CARDINAL
aiti-7988	298	2	euler	PERSON
aiti-7988	300	1	2	CARDINAL
aiti-7988	300	2	210	CARDINAL
aiti-7988	300	3	324 mm	QUANTITY
aiti-7988	300	4	8200 kg	QUANTITY
aiti-7988	300	5	3 908.2 kg	QUANTITY
aiti-7988	300	6	3	CARDINAL
aiti-7988	300	7	292 mm	QUANTITY
aiti-7988	300	8	3	CARDINAL
aiti-7988	301	1	26	CARDINAL
aiti-7988	302	1	27	CARDINAL
aiti-7988	302	2	0.22 22.42 0.49	QUANTITY
aiti-7988	302	3	0.5 22.2534	CARDINAL
aiti-7988	302	4	22.0910	CARDINAL
aiti-7988	302	5	22.27 0.07	CARDINAL
aiti-7988	302	6	1 22.0864	CARDINAL
aiti-7988	302	7	0.10	CARDINAL
aiti-7988	302	8	1.5 21.8053	CARDINAL
aiti-7988	302	9	1.81 21.28	QUANTITY
aiti-7988	304	1	37	CARDINAL
aiti-7988	305	1	1	CARDINAL
aiti-7988	306	1	#	MONEY
aiti-7988	306	2	$%	PERCENT
aiti-7988	306	3	$%&	MONEY
aiti-7988	309	1	49	CARDINAL
aiti-7988	310	1	7	CARDINAL
aiti-7988	310	2	1	CARDINAL
aiti-7988	310	3	2022	DATE
aiti-7988	311	1	41-55	CARDINAL
aiti-7988	312	1	5	CARDINAL
aiti-7988	313	1	two	CARDINAL
aiti-7988	314	1	5	CARDINAL
aiti-7988	314	2	8	CARDINAL
aiti-7988	314	3	two	CARDINAL
aiti-7988	319	1	1st	ORDINAL
aiti-7988	319	2	ni et al	PERSON
aiti-7988	320	1	26	CARDINAL
aiti-7988	320	2	2nd	ORDINAL
aiti-7988	321	1	28	CARDINAL
aiti-7988	322	1	29	CARDINAL
aiti-7988	322	2	30	CARDINAL
aiti-7988	323	1	fig	ORG
aiti-7988	324	1	5	CARDINAL
aiti-7988	329	1	liang	PERSON
aiti-7988	330	1	27	CARDINAL
aiti-7988	331	1	31	CARDINAL
aiti-7988	333	1	5	CARDINAL
aiti-7988	335	1	5	CARDINAL
aiti-7988	337	1	0°	CARDINAL
aiti-7988	339	1	15°	CARDINAL
aiti-7988	340	1	30°	QUANTITY
aiti-7988	341	1	5	CARDINAL
aiti-7988	341	2	25°	QUANTITY
aiti-7988	341	3	1 50	CARDINAL
aiti-7988	342	1	7	CARDINAL
aiti-7988	342	2	1	CARDINAL
aiti-7988	342	3	2022	DATE
aiti-7988	343	1	41-55	CARDINAL
aiti-7988	344	1	6	CARDINAL
aiti-7988	344	2	7	DATE
aiti-7988	347	1	approximately by 0.18%	PERCENT
aiti-7988	347	2	23.104	CARDINAL
aiti-7988	347	3	0° to	TIME
aiti-7988	347	4	60°	TIME
aiti-7988	347	5	20	CARDINAL
aiti-7988	347	6	5.2%	PERCENT
aiti-7988	347	7	22.223	CARDINAL
aiti-7988	347	8	0° to	TIME
aiti-7988	347	9	60°	TIME
aiti-7988	347	10	50	CARDINAL
aiti-7988	349	1	7	CARDINAL
aiti-7988	350	1	50	CARDINAL
aiti-7988	350	2	40-90	CARDINAL
aiti-7988	353	1	90°	QUANTITY
aiti-7988	353	2	90°	QUANTITY
aiti-7988	355	1	two	CARDINAL
aiti-7988	356	1	90	CARDINAL
aiti-7988	358	1	90	DATE
aiti-7988	359	1	20	CARDINAL
aiti-7988	359	2	30	CARDINAL
aiti-7988	359	3	50	CARDINAL
aiti-7988	360	1	6	CARDINAL
aiti-7988	360	2	25°	QUANTITY
aiti-7988	360	3	1 51	CARDINAL
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aiti-7988	361	3	2022	DATE
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aiti-7988	367	1	ashley et al	LOC
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aiti-7988	395	1	41-55	CARDINAL
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aiti-7988	412	1	6	CARDINAL
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aiti-7988	412	5	4	CARDINAL
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aiti-7988	413	1	7	CARDINAL
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aiti-7988	462	5	3	CARDINAL
aiti-7988	462	6	229	CARDINAL
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aiti-7988	463	1	33	CARDINAL
aiti-7988	464	1	t. a.	GPE
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