id	sid	eid	entity	type
m-1112	1	1	ijo international journal of mathematics	ORG
m-1112	1	2	2992-4421	DATE
m-1112	1	3	08	CARDINAL
m-1112	2	1	08	DATE
m-1112	3	1	august 2025	DATE
m-1112	3	2	markos georgallides 1larnaca	PERSON
m-1112	3	3	varosha-famagusta	ORG
m-1112	3	4	turks	NORP
m-1112	3	5	aug 1974	DATE
m-1112	3	6	athens	GPE
m-1112	4	1	one	CARDINAL
m-1112	5	1	zero	CARDINAL
m-1112	5	2	0	DATE
m-1112	5	3	zero	CARDINAL
m-1112	5	4	±	CARDINAL
m-1112	5	5	zero	CARDINAL
m-1112	6	1	pns space	LOC
m-1112	6	2	⊕	GPE
m-1112	7	1	first	ORDINAL
m-1112	8	1	𝐀𝐁	ORG
m-1112	9	1	𝐁	ORG
m-1112	9	2	σ	ORG
m-1112	10	1	108	CARDINAL
m-1112	10	2	110	CARDINAL
m-1112	11	1	first	ORDINAL
m-1112	11	2	second	ORDINAL
m-1112	11	3	 σ	PERSON
m-1112	12	1	g k = g	PERSON
m-1112	15	1	⏊	DATE
m-1112	16	1	1	CARDINAL
m-1112	16	2	mailto:georgallides.marcos@cytanet.com.cy 2	FAC
m-1112	16	3	mfmf pns	LOC
m-1112	18	1	⊕	GPE
m-1112	29	1	first	ORDINAL
m-1112	29	2	4	CARDINAL
m-1112	30	1	1 ≈ ∞	QUANTITY
m-1112	30	2	1≈	CARDINAL
m-1112	30	3	monad ≡ ±	ORG
m-1112	31	1	1 ≈	QUANTITY
m-1112	31	2	one	CARDINAL
m-1112	31	3	two	CARDINAL
m-1112	34	1	xn−2	ORG
m-1112	38	1	f. rn	PERSON
m-1112	39	1	2	CARDINAL
m-1112	40	1	xn−2 b.rn−2	ORG
m-1112	44	1	0	CARDINAL
m-1112	47	1	62	CARDINAL
m-1112	48	1	one	CARDINAL
m-1112	49	1	111	CARDINAL
m-1112	49	2	110	CARDINAL
m-1112	51	1	106	CARDINAL
m-1112	52	1	114	CARDINAL
m-1112	54	1	ijo international journal of mathematics	ORG
m-1112	54	2	2992-4421	DATE
m-1112	54	3	08	CARDINAL
m-1112	55	1	08	DATE
m-1112	56	1	august 2025	DATE
m-1112	56	2	3	CARDINAL
m-1112	56	3	mfmf pns	LOC
m-1112	57	1	1	CARDINAL
m-1112	57	2	1a	CARDINAL
m-1112	57	3	4	CARDINAL
m-1112	57	4	2a	CARDINAL
m-1112	58	1	3a	CARDINAL
m-1112	58	2	7	CARDINAL
m-1112	58	3	4a	CARDINAL
m-1112	58	4	5a	CARDINAL
m-1112	58	5	1 ≈	QUANTITY
m-1112	58	6	6a	CARDINAL
m-1112	58	7	21.fig-4	CARDINAL
m-1112	58	8	7a	CARDINAL
m-1112	58	9	23	CARDINAL
m-1112	58	10	8a	CARDINAL
m-1112	58	11	24.fig-5	CARDINAL
m-1112	59	1	26.fig-6,7.7a,7b,7c	CARDINAL
m-1112	60	1	32.fig-8a	CARDINAL
m-1112	60	2	8b	CARDINAL
m-1112	62	1	35.fig-9,9a	CARDINAL
m-1112	64	1	43.fig-10	CARDINAL
m-1112	64	2	9a	CARDINAL
m-1112	64	3	45.fig-11	CARDINAL
m-1112	64	4	10a	CARDINAL
m-1112	64	5	1b	CARDINAL
m-1112	64	6	2b	CARDINAL
m-1112	65	1	56	CARDINAL
m-1112	65	2	3b	CARDINAL
m-1112	65	3	4b	CARDINAL
m-1112	65	4	1c	CARDINAL
m-1112	65	5	62	CARDINAL
m-1112	65	6	2c	CARDINAL
m-1112	65	7	69	CARDINAL
m-1112	65	8	3c	CARDINAL
m-1112	65	9	4c	CARDINAL
m-1112	65	10	5c	CARDINAL
m-1112	65	11	6c	CARDINAL
m-1112	66	1	78.fig-17a,17b,17c,17d,17e	DATE
m-1112	66	2	1d	CARDINAL
m-1112	66	3	2d	DATE
m-1112	66	4	100.fig-19 5d	CARDINAL
m-1112	66	5	8d	CARDINAL
m-1112	66	6	108.fig26 9d	CARDINAL
m-1112	66	7	113	CARDINAL
m-1112	66	8	ijo international journal of mathematics	ORG
m-1112	66	9	2992-4421	DATE
m-1112	66	10	08	CARDINAL
m-1112	67	1	08	DATE
m-1112	68	1	august 2025	DATE
m-1112	68	2	4	CARDINAL
m-1112	68	3	mfmf pns	LOC
m-1112	70	1	6 -12	QUANTITY
m-1112	71	1	6	CARDINAL
m-1112	71	2	0	DATE
m-1112	71	3	± ∞	QUANTITY
m-1112	72	1	±	CARDINAL
m-1112	73	1	±	CARDINAL
m-1112	74	1	2a	CARDINAL
m-1112	75	1	2a1	CARDINAL
m-1112	75	2	first	ORDINAL
m-1112	75	3	two	CARDINAL
m-1112	77	1	6	CARDINAL
m-1112	78	1	▫ ▫ ▫ —▫	DATE
m-1112	78	2	⃗	CARDINAL
m-1112	79	1	ab⃗⃗⃗⃗ ⃗	PERSON
m-1112	81	1	1.b	CARDINAL
m-1112	83	1	2	CARDINAL
m-1112	83	2	monad ab	PERSON
m-1112	83	3	11	CARDINAL
m-1112	83	4	13	CARDINAL
m-1112	83	5	two	CARDINAL
m-1112	83	6	three	CARDINAL
m-1112	83	7	ab⃗⃗⃗⃗ ⃗	PERSON
m-1112	83	8	⃗	ORG
m-1112	86	1	2992-4421	DATE
m-1112	86	2	08	CARDINAL
m-1112	87	1	08	DATE
m-1112	88	1	august 2025	DATE
m-1112	88	2	5	CARDINAL
m-1112	88	3	mfmf pns	LOC
m-1112	89	1	⃗	PERSON
m-1112	90	1	⃗	ORG
m-1112	92	1	2a2	CARDINAL
m-1112	93	1	±	CARDINAL
m-1112	95	1	two	CARDINAL
m-1112	96	1	1,62	CARDINAL
m-1112	96	2	two	CARDINAL
m-1112	99	1	1	CARDINAL
m-1112	99	2	ab ↔	ORG
m-1112	101	1	11	CARDINAL
m-1112	101	2	2	CARDINAL
m-1112	101	3	three	CARDINAL
m-1112	103	1	11	CARDINAL
m-1112	103	2	3	CARDINAL
m-1112	103	3	3d	CARDINAL
m-1112	105	1	±	CARDINAL
m-1112	105	2	± ∞	QUANTITY
m-1112	105	3	one	CARDINAL
m-1112	106	1	ab	ORG
m-1112	106	2	ab ↔	ORG
m-1112	109	1	ab / n	ORG
m-1112	111	1	ijo international journal of mathematics	ORG
m-1112	111	2	2992-4421	DATE
m-1112	112	1	08	CARDINAL
m-1112	113	1	08	DATE
m-1112	114	1	august 2025	DATE
m-1112	114	2	6	CARDINAL
m-1112	114	3	mfmf pns	LOC
m-1112	115	1	two	CARDINAL
m-1112	116	1	11	CARDINAL
m-1112	116	2	4	CARDINAL
m-1112	116	3	3d	CARDINAL
m-1112	118	1	0	CARDINAL
m-1112	118	2	zero	CARDINAL
m-1112	118	3	𝑃𝑑𝑠 𝐵 𝐴	PERSON
m-1112	118	4	0	CARDINAL
m-1112	120	1	one	CARDINAL
m-1112	121	1	2a3	CARDINAL
m-1112	124	1	17	CARDINAL
m-1112	125	1	ab⃗⃗⃗⃗ ⃗	PERSON
m-1112	126	1	three	CARDINAL
m-1112	128	1	ijo international journal of mathematics	ORG
m-1112	128	2	2992-4421	DATE
m-1112	128	3	08	CARDINAL
m-1112	129	1	08	DATE
m-1112	130	1	august 2025	DATE
m-1112	130	2	7	CARDINAL
m-1112	130	3	mfmf pns	LOC
m-1112	131	1	0	DATE
m-1112	131	2	2r	CARDINAL
m-1112	134	1	two	CARDINAL
m-1112	134	2	quanta of points	ORG
m-1112	134	3	quanta of energy (	ORG
m-1112	134	4	two	CARDINAL
m-1112	136	1	10	CARDINAL
m-1112	136	2	1	CARDINAL
m-1112	137	1	4	CARDINAL
m-1112	138	1	3a	CARDINAL
m-1112	139	1	ijo international journal of mathematics	ORG
m-1112	139	2	2992-4421	DATE
m-1112	140	1	08	CARDINAL
m-1112	141	1	08	DATE
m-1112	142	1	august 2025	DATE
m-1112	142	2	8	CARDINAL
m-1112	142	3	mfmf pns	LOC
m-1112	144	1	second	ORDINAL
m-1112	144	2	first	ORDINAL
m-1112	145	1	al force mg	ORG
m-1112	145	2	k.δ = mg	PERSON
m-1112	146	1	second	ORDINAL
m-1112	147	1	2	CARDINAL
m-1112	147	2	7	CARDINAL
m-1112	147	3	2	CARDINAL
m-1112	147	4	𝐟	PERSON
m-1112	147	5	1 2π √ k	TIME
m-1112	147	6	1 2π √	TIME
m-1112	150	1	mass=	CARDINAL
m-1112	150	2	²𝐧 x	QUANTITY
m-1112	151	1	k m	PERSON
m-1112	152	1	√ k	PERSON
m-1112	154	1	𝟐𝛑	CARDINAL
m-1112	161	1	power ≡	ORG
m-1112	161	2	1	CARDINAL
m-1112	161	3	1 2	CARDINAL
m-1112	162	1	²	CARDINAL
m-1112	162	2	2e	CARDINAL
m-1112	163	1	²	CARDINAL
m-1112	164	1	2	CARDINAL
m-1112	164	2	𝟐𝛑	CARDINAL
m-1112	164	3	𝟐𝛑	PRODUCT
m-1112	164	4	3	CARDINAL
m-1112	164	5	0,5	CARDINAL
m-1112	167	1	𝛔 𝐇	PERSON
m-1112	169	1	6	CARDINAL
m-1112	170	1	7	CARDINAL
m-1112	170	2	±	CARDINAL
m-1112	171	1	ijo international journal of mathematics	ORG
m-1112	171	2	2992-4421	DATE
m-1112	171	3	08	CARDINAL
m-1112	172	1	08	DATE
m-1112	173	1	august 2025	DATE
m-1112	173	2	9	CARDINAL
m-1112	173	3	mfmf pns	LOC
m-1112	175	1	8	CARDINAL
m-1112	175	2	one	CARDINAL
m-1112	175	3	one	CARDINAL
m-1112	175	4	b̅ & w̅	ORG
m-1112	175	5	w ≡	ORG
m-1112	175	6	macrocosm	GPE
m-1112	176	1	1	CARDINAL
m-1112	176	2	b̅ & w̅	ORG
m-1112	176	3	2	CARDINAL
m-1112	177	1	3	CARDINAL
m-1112	178	1	4	CARDINAL
m-1112	179	1	5	CARDINAL
m-1112	179	2	2	CARDINAL
m-1112	180	1	1	CARDINAL
m-1112	180	2	𝐏 𝐇 2	PRODUCT
m-1112	180	3	3	CARDINAL
m-1112	181	1	4	CARDINAL
m-1112	181	2	two	CARDINAL
m-1112	181	3	markos	ORG
m-1112	184	1	einstein podolsky rosen	PERSON
m-1112	185	1	100,104	CARDINAL
m-1112	186	1	5	CARDINAL
m-1112	187	1	75-90 %	PERCENT
m-1112	188	1	100	CARDINAL
m-1112	188	2	6	CARDINAL
m-1112	188	3	two	CARDINAL
m-1112	188	4	ijo international journal of mathematics	ORG
m-1112	188	5	2992-4421	DATE
m-1112	188	6	08	CARDINAL
m-1112	189	1	08	DATE
m-1112	190	1	august 2025	DATE
m-1112	190	2	10	CARDINAL
m-1112	190	3	mfmf pns	LOC
m-1112	191	1	6a	CARDINAL
m-1112	191	2	φ	ORG
m-1112	192	1	6b1	CARDINAL
m-1112	192	2	1015	CARDINAL
m-1112	192	3	6b2	CARDINAL
m-1112	192	4	1015	CARDINAL
m-1112	192	5	6c	CARDINAL
m-1112	193	1	6d	CARDINAL
m-1112	193	2	10−12	DATE
m-1112	193	3	-10−6 tesla	PERSON
m-1112	193	4	6e	CARDINAL
m-1112	193	5	10−12 ampere	DATE
m-1112	193	6	6f	CARDINAL
m-1112	193	7	10−6	CARDINAL
m-1112	193	8	6	CARDINAL
m-1112	193	9	6h	CARDINAL
m-1112	193	10	105 meters	QUANTITY
m-1112	193	11	6i1	CARDINAL
m-1112	193	12	6i2	CARDINAL
m-1112	193	13	6j	CARDINAL
m-1112	193	14	6k	CARDINAL
m-1112	193	15	𝐂𝐓	DATE
m-1112	193	16	10−20 watt	QUANTITY
m-1112	193	17	6l	CARDINAL
m-1112	193	18	10−20 watt	DATE
m-1112	193	19	6	CARDINAL
m-1112	193	20	𝐀 𝐁	ORG
m-1112	193	21	10−10 meter	QUANTITY
m-1112	193	22	6n	CARDINAL
m-1112	193	23	n-n	LOC
m-1112	193	24	6o	CARDINAL
m-1112	193	25	6p	CARDINAL
m-1112	193	26	n-n	LOC
m-1112	193	27	6q	CARDINAL
m-1112	193	28	±	CARDINAL
m-1112	194	1	ijo international journal of mathematics	ORG
m-1112	194	2	2992-4421	DATE
m-1112	194	3	08	CARDINAL
m-1112	195	1	08	DATE
m-1112	196	1	august 2025	DATE
m-1112	196	2	11	CARDINAL
m-1112	196	3	mfmf pns	LOC
m-1112	197	1	two	CARDINAL
m-1112	197	2	1 +	QUANTITY
m-1112	197	3	1	CARDINAL
m-1112	197	4	1−1	CARDINAL
m-1112	197	5	1	CARDINAL
m-1112	197	6	0 + h0 1	QUANTITY
m-1112	197	7	2	CARDINAL
m-1112	197	8	4 4	CARDINAL
m-1112	197	9	2−2h2−2 2	CARDINAL
m-1112	197	10	0	CARDINAL
m-1112	197	11	2	CARDINAL
m-1112	197	12	2	CARDINAL
m-1112	197	13	2	CARDINAL
m-1112	198	1	102	CARDINAL
m-1112	198	2	4a	CARDINAL
m-1112	199	1	⇅	LANGUAGE
m-1112	199	2	e. σ	PERSON
m-1112	199	3	3	CARDINAL
m-1112	199	4	φ	ORG
m-1112	200	1	two	CARDINAL
m-1112	201	1	fig-1-1	DATE
m-1112	201	2	2r	CARDINAL
m-1112	203	1	2,√r2	CARDINAL
m-1112	204	1	1 2	CARDINAL
m-1112	204	2	polygon	ORG
m-1112	205	1	2	CARDINAL
m-1112	205	2	2	CARDINAL
m-1112	205	3	polygon	ORG
m-1112	206	1	2	CARDINAL
m-1112	206	2	3	CARDINAL
m-1112	206	3	polygon	ORG
m-1112	207	1	2	CARDINAL
m-1112	207	2	4	CARDINAL
m-1112	207	3	polygon	ORG
m-1112	207	4	0	CARDINAL
m-1112	208	1	polygon	ORG
m-1112	209	1	2	CARDINAL
m-1112	210	1	2	CARDINAL
m-1112	210	2	²	CARDINAL
m-1112	212	1	4	CARDINAL
m-1112	212	2	5	DATE
m-1112	212	3	6	DATE
m-1112	212	4	2r	CARDINAL
m-1112	214	1	4	CARDINAL
m-1112	214	2	euler	PERSON
m-1112	215	1	+ 2rn	DATE
m-1112	217	1	i. sinw	PERSON
m-1112	220	1	2r.𝑒𝑖.𝑛𝜔𝑡	TIME
m-1112	220	2	2rn	ORDINAL
m-1112	222	1	i. sinw	PERSON
m-1112	230	1	2r	CARDINAL
m-1112	230	2	2	CARDINAL
m-1112	231	1	2r	CARDINAL
m-1112	231	2	2	CARDINAL
m-1112	232	1	2r	CARDINAL
m-1112	232	2	2	CARDINAL
m-1112	233	1	ijo international journal of mathematics	ORG
m-1112	233	2	2992-4421	DATE
m-1112	233	3	08	CARDINAL
m-1112	234	1	08	DATE
m-1112	235	1	august 2025	DATE
m-1112	235	2	12	CARDINAL
m-1112	235	3	mfmf pns	LOC
m-1112	240	1	.y	GPE
m-1112	240	2	10−35	CARDINAL
m-1112	241	1	2r	CARDINAL
m-1112	244	1	.y	GPE
m-1112	245	1	2r	CARDINAL
m-1112	249	1	2r	CARDINAL
m-1112	249	2	2n	CARDINAL
m-1112	250	1	polygon	ORG
m-1112	252	1	2n	CARDINAL
m-1112	252	2	polygon	ORG
m-1112	253	1	n= r.m.v n=	GPE
m-1112	254	1	polygon	ORG
m-1112	254	2	two	CARDINAL
m-1112	254	3	two	CARDINAL
m-1112	254	4	e ⊥ h	LOC
m-1112	255	1	1+√5 2	CARDINAL
m-1112	255	2	2πr	CARDINAL
m-1112	256	1	8	CARDINAL
m-1112	256	2	2	CARDINAL
m-1112	257	1	2	CARDINAL
m-1112	259	1	2	CARDINAL
m-1112	262	1	2π.x	CARDINAL
m-1112	265	1	²n = m.v²n= ke .	PERSON
m-1112	266	1	±	CARDINAL
m-1112	266	2	±	CARDINAL
m-1112	266	3	π.r2 2	CARDINAL
m-1112	266	4	σ φ	PERSON
m-1112	266	5	two	CARDINAL
m-1112	267	1	ab ≡	ORG
m-1112	268	1	two	CARDINAL
m-1112	268	2	↔	ORG
m-1112	269	1	simultaneousley	ORG
m-1112	269	2	ab conductor	ORG
m-1112	269	3	𝐄 𝐅	PRODUCT
m-1112	269	4	𝐌 𝐅 ⊥ 𝐀𝐁̅̅ ̅̅ ⊥ 𝐄 𝐅	PRODUCT
m-1112	270	1	ijo international journal of mathematics	ORG
m-1112	270	2	2992-4421	DATE
m-1112	270	3	08	CARDINAL
m-1112	271	1	08	DATE
m-1112	272	1	august 2025	DATE
m-1112	272	2	13	CARDINAL
m-1112	272	3	mfmf pns	LOC
m-1112	273	1	5a	CARDINAL
m-1112	273	2	1 ≈ ∞	QUANTITY
m-1112	273	3	4	CARDINAL
m-1112	274	1	2r	CARDINAL
m-1112	278	1	polygon	ORG
m-1112	278	2	1	CARDINAL
m-1112	278	3	2	CARDINAL
m-1112	278	4	4	CARDINAL
m-1112	279	1	2	CARDINAL
m-1112	279	2	4	CARDINAL
m-1112	280	1	3	CARDINAL
m-1112	280	2	4	CARDINAL
m-1112	282	1	±	CARDINAL
m-1112	282	2	2.r	CARDINAL
m-1112	282	3	ijo international journal of mathematics	ORG
m-1112	282	4	2992-4421	DATE
m-1112	282	5	08	CARDINAL
m-1112	283	1	08	DATE
m-1112	284	1	august 2025	DATE
m-1112	284	2	14	CARDINAL
m-1112	284	3	mfmf pns	LOC
m-1112	285	1	1	CARDINAL
m-1112	285	2	4	CARDINAL
m-1112	285	3	99	CARDINAL
m-1112	285	4	2r.𝑒𝑖.𝑛𝜔𝑡	CARDINAL
m-1112	285	5	2	CARDINAL
m-1112	285	6	5	CARDINAL
m-1112	285	7	wave=	CARDINAL
m-1112	285	8	2r.𝑒𝑖.𝑛𝜔𝑡 3	DATE
m-1112	285	9	6	CARDINAL
m-1112	285	10	±	CARDINAL
m-1112	286	1	62	CARDINAL
m-1112	286	2	two	CARDINAL
m-1112	286	3	two	CARDINAL
m-1112	286	4	two	CARDINAL
m-1112	286	5	two	CARDINAL
m-1112	287	1	two	CARDINAL
m-1112	287	2	two	CARDINAL
m-1112	289	1	one	CARDINAL
m-1112	289	2	two	CARDINAL
m-1112	292	1	2	CARDINAL
m-1112	298	1	n. x0	PERSON
m-1112	300	1	2	CARDINAL
m-1112	304	1	² + e .r 2(n−2	DATE
m-1112	305	1	2(n−1	CARDINAL
m-1112	308	1	0	CARDINAL
m-1112	313	1	2 + cos 2𝑡	DATE
m-1112	314	1	2 + cos 2𝑡	DATE
m-1112	315	1	4	CARDINAL
m-1112	315	2	±	CARDINAL
m-1112	315	3	1 ≈	QUANTITY
m-1112	315	4	62	CARDINAL
m-1112	315	5	n 	GPE
m-1112	318	1	ijo international journal of mathematics	ORG
m-1112	318	2	2992-4421	DATE
m-1112	318	3	08	CARDINAL
m-1112	319	1	08	DATE
m-1112	320	1	august 2025	DATE
m-1112	320	2	15	CARDINAL
m-1112	320	3	mfmf pns	LOC
m-1112	322	1	2	CARDINAL
m-1112	323	1	+ 2	DATE
m-1112	325	1	+ 2	DATE
m-1112	328	1	…… 2	PRODUCT
m-1112	330	1	2	CARDINAL
m-1112	331	1	4.r ²	MONEY
m-1112	332	1	2	CARDINAL
m-1112	335	1	4.r4	CARDINAL
m-1112	335	2	4	CARDINAL
m-1112	338	1	8	CARDINAL
m-1112	339	1	10	CARDINAL
m-1112	345	1	64	CARDINAL
m-1112	346	1	896	CARDINAL
m-1112	349	1	a4	ORG
m-1112	349	2	12.r²	DATE
m-1112	350	1	a6 +a8	PRODUCT
m-1112	350	2	2	CARDINAL
m-1112	351	1	2	CARDINAL
m-1112	351	2	3a	CARDINAL
m-1112	351	3	fig-1-1	DATE
m-1112	351	4	2r	CARDINAL
m-1112	352	1	2,√r2	CARDINAL
m-1112	353	1	1 2	CARDINAL
m-1112	353	2	polygon	ORG
m-1112	354	1	2	CARDINAL
m-1112	354	2	2	CARDINAL
m-1112	354	3	polygon	ORG
m-1112	355	1	2	CARDINAL
m-1112	355	2	3	CARDINAL
m-1112	355	3	polygon	ORG
m-1112	356	1	2	CARDINAL
m-1112	356	2	4	CARDINAL
m-1112	356	3	polygon	ORG
m-1112	356	4	0	CARDINAL
m-1112	357	1	polygon	ORG
m-1112	358	1	2	CARDINAL
m-1112	359	1	2	CARDINAL
m-1112	359	2	²	CARDINAL
m-1112	361	1	polygon	ORG
m-1112	361	2	u +	ORG
m-1112	367	1	𝛛	DATE
m-1112	369	1	𝛛𝐭²	GPE
m-1112	371	1	𝛛	DATE
m-1112	371	2	4	CARDINAL
m-1112	371	3	4	CARDINAL
m-1112	371	4	polygon	ORG
m-1112	371	5	ijo international journal of mathematics	ORG
m-1112	371	6	2992-4421	DATE
m-1112	372	1	08	CARDINAL
m-1112	373	1	08	DATE
m-1112	374	1	august 2025	DATE
m-1112	374	2	16	CARDINAL
m-1112	374	3	mfmf pns	LOC
m-1112	375	1	zero	CARDINAL
m-1112	375	2	⊕	GPE
m-1112	376	1	0	CARDINAL
m-1112	378	1	two	CARDINAL
m-1112	378	2	5	CARDINAL
m-1112	378	3	≡ linear	ORG
m-1112	386	1	5	CARDINAL
m-1112	386	2	5	CARDINAL
m-1112	386	3	first	ORDINAL
m-1112	386	4	0	CARDINAL
m-1112	387	1	second	ORDINAL
m-1112	388	1	w	GPE
m-1112	393	1	2π	CARDINAL
m-1112	393	2	3π	CARDINAL
m-1112	395	1	7	CARDINAL
m-1112	397	1	φ	ORG
m-1112	398	1	2π	CARDINAL
m-1112	401	1	2λ	CARDINAL
m-1112	401	2	0	CARDINAL
m-1112	401	3	1.c	CARDINAL
m-1112	401	4	2λ	CARDINAL
m-1112	401	5	2λ	CARDINAL
m-1112	401	6	2λ	CARDINAL
m-1112	402	1	2λ	CARDINAL
m-1112	403	1	2	CARDINAL
m-1112	403	2	y(x	ORG
m-1112	403	3	2n	CARDINAL
m-1112	404	1	x].cos	PRODUCT
m-1112	405	1	2πc	ORDINAL
m-1112	405	2	9	CARDINAL
m-1112	405	3	2λ	CARDINAL
m-1112	406	1	k x =	PERSON
m-1112	406	2	0	CARDINAL
m-1112	406	3	1	DATE
m-1112	406	4	2	DATE
m-1112	406	5	3	DATE
m-1112	407	1	2π	CARDINAL
m-1112	408	1	2n.π	CARDINAL
m-1112	411	1	2π	CARDINAL
m-1112	411	2	𝟐𝛑	CARDINAL
m-1112	412	1	10	CARDINAL
m-1112	414	1	2n.π	CARDINAL
m-1112	414	2	𝟐𝛑	CARDINAL
m-1112	415	1	10a	DATE
m-1112	415	2	2π	CARDINAL
m-1112	415	3	1	CARDINAL
m-1112	415	4	≡ energy ≡ motion	ORG
m-1112	415	5	k λ ≡ e ≡	ORG
m-1112	416	1	λ / 2	ORG
m-1112	416	2	2λ	CARDINAL
m-1112	416	3	0,5	CARDINAL
m-1112	416	4	2λ	CARDINAL
m-1112	416	5	1,5.c 2λ	CARDINAL
m-1112	416	6	2,5.c 2λ	DATE
m-1112	416	7	3,5.c 2λ	CARDINAL
m-1112	416	8	2n+1	ORG
m-1112	417	1	2 2λ	CARDINAL
m-1112	417	2	1 2	CARDINAL
m-1112	417	3	2λ	CARDINAL
m-1112	417	4	3 2	CARDINAL
m-1112	417	5	2λ	CARDINAL
m-1112	417	6	5 2 |	QUANTITY
m-1112	417	7	2λ	CARDINAL
m-1112	418	1	2n+1 2	FAC
m-1112	419	1	2λ	CARDINAL
m-1112	420	1	⃗	ORG
m-1112	421	1	aka|	GPE
m-1112	421	2	⊕	GPE
m-1112	422	1	⃗	ORG
m-1112	422	2	↕||	FAC
m-1112	422	3	≡ ®	ORG
m-1112	423	1	two	CARDINAL
m-1112	423	2	1 x k 2|	QUANTITY
m-1112	424	1	1┴2	QUANTITY
m-1112	424	2	𝟐𝛑	CARDINAL
m-1112	424	3	2π.f	CARDINAL
m-1112	426	1	-9 ijo international journal of mathematics	ORG
m-1112	426	2	2992-4421	DATE
m-1112	426	3	08	CARDINAL
m-1112	427	1	08	DATE
m-1112	428	1	august 2025	DATE
m-1112	428	2	17	CARDINAL
m-1112	428	3	mfmf pns	LOC
m-1112	429	1	𝐊𝐀	ORG
m-1112	429	2	⊕	GPE
m-1112	430	1	|⊕	CARDINAL
m-1112	430	2	↕	PERSON
m-1112	430	3	⊕	GPE
m-1112	431	1	⃗	ORG
m-1112	431	2	2r	PRODUCT
m-1112	432	1	2d	DATE
m-1112	435	1	2λ	CARDINAL
m-1112	436	1	2n+1 2	FAC
m-1112	436	2	2λ	CARDINAL
m-1112	438	1	3.h.c	CARDINAL
m-1112	438	2	……	PRODUCT
m-1112	438	3	11	CARDINAL
m-1112	440	1	2π	CARDINAL
m-1112	441	1	2π	CARDINAL
m-1112	441	2	2πf	ORDINAL
m-1112	441	3	1	CARDINAL
m-1112	442	1	2	CARDINAL
m-1112	442	2	2π	CARDINAL
m-1112	442	3	2πf	ORDINAL
m-1112	446	1	2	CARDINAL
m-1112	447	1	two	CARDINAL
m-1112	448	1	↕	PERSON
m-1112	448	2	↔	ORG
m-1112	448	3	↕ |≡|𝐐 ⇉	PERSON
m-1112	451	1	⇈	DATE
m-1112	451	2	≡ ⤱|	ORG
m-1112	452	1	2π	CARDINAL
m-1112	452	2	2πf	ORDINAL
m-1112	452	3	1	CARDINAL
m-1112	452	4	2λ	CARDINAL
m-1112	452	5	3.	CARDINAL
m-1112	452	6	4	CARDINAL
m-1112	452	7	3.𝛔	CARDINAL
m-1112	452	8	4	CARDINAL
m-1112	453	1	⊕	GPE
m-1112	456	1	σ.σ] r²	PERSON
m-1112	457	1	2	CARDINAL
m-1112	458	1	2	CARDINAL
m-1112	459	1	2πf φ	PRODUCT
m-1112	459	2	2	CARDINAL
m-1112	460	1	w φ	PERSON
m-1112	460	2	2	CARDINAL
m-1112	461	1	mass mt	GPE
m-1112	462	1	m.r² 3	DATE
m-1112	463	1	j w	PERSON
m-1112	463	2	j w	PERSON
m-1112	463	3	m.r² 3	CARDINAL
m-1112	464	1	3	CARDINAL
m-1112	465	1	2πf.r³ 3	DATE
m-1112	465	2	14	CARDINAL
m-1112	466	1	2πf	ORDINAL
m-1112	467	1	2	CARDINAL
m-1112	467	2	2π	CARDINAL
m-1112	467	3	3.	CARDINAL
m-1112	467	4	4 λ |	QUANTITY
m-1112	467	5	²	CARDINAL
m-1112	467	6	3πv	ORDINAL
m-1112	468	1	2	CARDINAL
m-1112	469	1	14	CARDINAL
m-1112	469	2	15	CARDINAL
m-1112	470	1	3π	CARDINAL
m-1112	471	1	2πf.r³ 3	DATE
m-1112	471	2	²	CARDINAL
m-1112	471	3	2	CARDINAL
m-1112	471	4	2	CARDINAL
m-1112	471	5	2	CARDINAL
m-1112	471	6	16	CARDINAL
m-1112	472	1	6,195543.10−7	CARDINAL
m-1112	472	2	m.v q̅	PERSON
m-1112	472	3	1,6.10−19c.[6,195543.10−7	CARDINAL
m-1112	472	4	2,718088.1013	CARDINAL
m-1112	476	1	|aka|	PERSON
m-1112	478	1	↕|.|aka|	PERSON
m-1112	478	2	17	CARDINAL
m-1112	478	3	|kx|	CARDINAL
m-1112	478	4	↕	PERSON
m-1112	478	5	↕	PERSON
m-1112	478	6	conductor`s	PERSON
m-1112	479	1	2	CARDINAL
m-1112	480	1	mass mt	GPE
m-1112	480	2	aae	PRODUCT
m-1112	480	3	2	CARDINAL
m-1112	485	1	ijo international journal of mathematics	ORG
m-1112	485	2	2992-4421	DATE
m-1112	486	1	08	CARDINAL
m-1112	487	1	08	DATE
m-1112	488	1	august 2025	DATE
m-1112	488	2	18	CARDINAL
m-1112	488	3	mfmf pns	LOC
m-1112	489	1	2r	CARDINAL
m-1112	490	1	15	CARDINAL
m-1112	491	1	2πf	ORDINAL
m-1112	492	1	2	CARDINAL
m-1112	492	2	2π	CARDINAL
m-1112	492	3	3.	CARDINAL
m-1112	492	4	3πv	ORDINAL
m-1112	493	1	2	CARDINAL
m-1112	493	2	⇅	NORP
m-1112	493	3	|kx|	CARDINAL
m-1112	493	4	↕	PERSON
m-1112	493	5	17a	CARDINAL
m-1112	494	1	j w	PERSON
m-1112	495	1	m.r² 3	CARDINAL
m-1112	495	2	2πf.r³ 3	DATE
m-1112	495	3	3	CARDINAL
m-1112	495	4	14a	CARDINAL
m-1112	496	1	14a	CARDINAL
m-1112	496	2	f[+↔+	ORG
m-1112	496	3	3πw	ORDINAL
m-1112	496	4	²	CARDINAL
m-1112	498	1	2	CARDINAL
m-1112	499	1	2	CARDINAL
m-1112	499	2	2	CARDINAL
m-1112	500	1	2l=	CARDINAL
m-1112	500	2	2	CARDINAL
m-1112	500	3	2l	CARDINAL
m-1112	500	4	angularmomentum ≡	ORG
m-1112	501	1	2l	CARDINAL
m-1112	502	1	ae	ORG
m-1112	504	1	⇈	ORG
m-1112	506	1	↕|.|ae ka	PERSON
m-1112	507	1	18	CARDINAL
m-1112	507	2	|kx|	CARDINAL
m-1112	507	3	↕	PERSON
m-1112	508	1	↕	PERSON
m-1112	508	2	two	CARDINAL
m-1112	508	3	ky	GPE
m-1112	508	4	+ k²y	PERSON
m-1112	508	5	r.cos θ	WORK_OF_ART
m-1112	508	6	r.sin θ	PERSON
m-1112	510	1	2l	CARDINAL
m-1112	510	2	w ≡ e k	PERSON
m-1112	511	1	u ≡ |kx|+ |ky|	ORG
m-1112	511	2	ky	GPE
m-1112	511	3	2	CARDINAL
m-1112	511	4	two	CARDINAL
m-1112	511	5	two	CARDINAL
m-1112	513	1	one	CARDINAL
m-1112	513	2	kx= za̅̅̅̅	GPE
m-1112	513	3	k y= 1,mm̅̅	ORG
m-1112	513	4	2	CARDINAL
m-1112	513	5	two	CARDINAL
m-1112	513	6	kx= zb̅̅̅̅	PERSON
m-1112	513	7	k y= za̅̅̅̅	GPE
m-1112	514	1	1_2_3	CARDINAL
m-1112	514	2	2l	CARDINAL
m-1112	514	3	w ≡	PERSON
m-1112	515	1	k + e u ≡ |kx|x|ky|x|aka| ≡	ORG
m-1112	515	2	three	CARDINAL
m-1112	515	3	9b	CARDINAL
m-1112	515	4	9c	CARDINAL
m-1112	516	1	↔	GPE
m-1112	516	2	↕	PERSON
m-1112	518	1	↑↓	ORG
m-1112	519	1	k π	GPE
m-1112	520	1	max	PERSON
m-1112	521	1	1	CARDINAL
m-1112	521	2	6	CARDINAL
m-1112	526	1	0	CARDINAL
m-1112	527	1	14	CARDINAL
m-1112	530	1	b̅n	PERSON
m-1112	531	1	15a	DATE
m-1112	531	2	fn̅	CARDINAL
m-1112	532	1	2λ	CARDINAL
m-1112	532	2	15	CARDINAL
m-1112	532	3	ijo international journal of mathematics	ORG
m-1112	532	4	2992-4421	DATE
m-1112	532	5	08	CARDINAL
m-1112	533	1	08	DATE
m-1112	534	1	august 2025	DATE
m-1112	534	2	19	CARDINAL
m-1112	534	3	mfmf pns	LOC
m-1112	535	1	⇈	DATE
m-1112	535	2	↕ |x|aka| ≡ |qx.qy|.|aka| ≡	ORG
m-1112	536	1	↔	GPE
m-1112	536	2	↕	PERSON
m-1112	537	1	k π	PERSON
m-1112	537	2	2π	CARDINAL
m-1112	537	3	2πf	ORDINAL
m-1112	540	1	1	CARDINAL
m-1112	540	2	w k =	PERSON
m-1112	540	3	|aka|	PERSON
m-1112	540	4	fn̅	GPE
m-1112	541	1	16	CARDINAL
m-1112	543	1	≡ e u ≡ potential energy	ORG
m-1112	543	2	≡ e k ≡	ORG
m-1112	545	1	|aka|	PERSON
m-1112	548	1	⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗	ORG
m-1112	551	1	2	CARDINAL
m-1112	551	2	k ≡	ORG
m-1112	551	3	u ≡	ORG
m-1112	553	1	b̅n	PERSON
m-1112	557	1	2r	CARDINAL
m-1112	558	1	2π	CARDINAL
m-1112	558	2	2π	CARDINAL
m-1112	558	3	²	CARDINAL
m-1112	558	4	σ.φ k.3r	PERSON
m-1112	559	1	𝐜/𝐄	GPE
m-1112	559	2	|e̅0|.sine	PRODUCT
m-1112	561	1	2π	CARDINAL
m-1112	563	1	1	CARDINAL
m-1112	564	1	2r	CARDINAL
m-1112	564	2	⊕	GPE
m-1112	564	3	zero	CARDINAL
m-1112	564	4	⊕	GPE
m-1112	565	1	2.r	CARDINAL
m-1112	566	1	2,9979.108]² 2.r	CARDINAL
m-1112	566	2	8,9874044.1016	CARDINAL
m-1112	567	1	10−16,100,1016	TIME
m-1112	567	2	2.r	CARDINAL
m-1112	567	3	8,9874.1016 2.10−16	CARDINAL
m-1112	567	4	4,4937.1032	CARDINAL
m-1112	567	5	2.r	CARDINAL
m-1112	567	6	8,9874044.1016	CARDINAL
m-1112	568	1	4,4937022.1016	CARDINAL
m-1112	568	2	2.r	CARDINAL
m-1112	568	3	8,9874044.1016	CARDINAL
m-1112	569	1	2.1016	CARDINAL
m-1112	569	2	4,4937022.100	CARDINAL
m-1112	570	1	= m.a e = m e	PERSON
m-1112	571	1	9.10−31 1,6022.10−19	DATE
m-1112	572	1	1020	CARDINAL
m-1112	574	1	9.10−31 1,6022.10−19	DATE
m-1112	575	1	4,4937022.1016	CARDINAL
m-1112	575	2	25,242366	CARDINAL
m-1112	576	1	10	CARDINAL
m-1112	577	1	9.10−31 1,6022.10−19	DATE
m-1112	577	2	25,242366	CARDINAL
m-1112	578	1	10−12	DATE
m-1112	578	2	⊕	GPE
m-1112	580	1	2	CARDINAL
m-1112	582	1	2πr	CARDINAL
m-1112	582	2	1,6022.10−19.2,9979108	CARDINAL
m-1112	582	3	2π.r	CARDINAL
m-1112	582	4	7	CARDINAL
m-1112	582	5	644811.10−12	CARDINAL
m-1112	583	1	1	CARDINAL
m-1112	583	2	𝟏𝟎𝟎	ORG
m-1112	583	3	𝟏𝟎𝟏𝟔	DATE
m-1112	585	1	2πr	CARDINAL
m-1112	586	1	7	CARDINAL
m-1112	586	2	644811.10−12	CARDINAL
m-1112	587	1	1	CARDINAL
m-1112	587	2	10−16	CARDINAL
m-1112	587	3	7 ,644811.104 7	DATE
m-1112	587	4	644811.10−12	CARDINAL
m-1112	587	5	7	DATE
m-1112	587	6	644811.10−28 ampere	QUANTITY
m-1112	588	1	ijo international journal of mathematics	ORG
m-1112	588	2	2992-4421	DATE
m-1112	588	3	08	CARDINAL
m-1112	589	1	08	DATE
m-1112	590	1	august 2025	DATE
m-1112	590	2	20	CARDINAL
m-1112	590	3	mfmf pns	LOC
m-1112	591	1	3	CARDINAL
m-1112	591	2	1,602.10−19	CARDINAL
m-1112	592	1	10−16	CARDINAL
m-1112	592	2	14,4038.106	CARDINAL
m-1112	592	3	1,44038.107volt	CARDINAL
m-1112	592	4	nm²	ORG
m-1112	592	5	1,6022.10−19	CARDINAL
m-1112	593	1	14	CARDINAL
m-1112	593	2	14,403778.10−26	CARDINAL
m-1112	593	3	4	CARDINAL
m-1112	594	1	14,403778.106	CARDINAL
m-1112	595	1	14,403778.1022	ORDINAL
m-1112	595	2	14,403778.10−10	CARDINAL
m-1112	595	3	5	CARDINAL
m-1112	595	4	1,6022.10−19.{14	CARDINAL
m-1112	595	5	403778.1022}=	CARDINAL
m-1112	596	1	1,6022.10−19.{14	CARDINAL
m-1112	596	2	403778.10	CARDINAL
m-1112	596	3	6	CARDINAL
m-1112	597	1	23	CARDINAL
m-1112	597	2	077733.103.{10−16	DATE
m-1112	598	1	23	CARDINAL
m-1112	600	1	23	CARDINAL
m-1112	600	2	23	CARDINAL
m-1112	600	3	077733.103	DATE
m-1112	600	4	23	DATE
m-1112	602	1	0 7	CARDINAL
m-1112	602	2	e−r	TIME
m-1112	602	3	2	CARDINAL
m-1112	602	4	2,998.108.1,602210−19(14	CARDINAL
m-1112	602	5	4038.1022)²	CARDINAL
m-1112	602	6	2	CARDINAL
m-1112	602	7	498,26077.1033w/m2	QUANTITY
m-1112	602	8	498	CARDINAL
m-1112	602	9	261.101w= 4,9826077.103w	DATE
m-1112	602	10	𝐄−𝟑=	CARDINAL
m-1112	602	11	2	CARDINAL
m-1112	602	12	4,9826077.10−29	CARDINAL
m-1112	602	13	8	CARDINAL
m-1112	602	14	14,403778.1022)²	CARDINAL
m-1112	602	15	6,60394.1077w	CARDINAL
m-1112	602	16	6,60394.1057	DATE
m-1112	602	17	6,604.1013w 9	CARDINAL
m-1112	602	18	two	CARDINAL
m-1112	607	1	1,602210−19(10−16	CARDINAL
m-1112	608	1	1,11235.10−26,1,11235.10−10 m2	QUANTITY
m-1112	608	2	1,44038.1023	CARDINAL
m-1112	608	3	7	DATE
m-1112	608	4	1	CARDINAL
m-1112	609	1	σ x	QUANTITY
m-1112	609	2	σ y	PERSON
m-1112	609	3	1	CARDINAL
m-1112	609	4	2	CARDINAL
m-1112	610	1	polygon	ORG
m-1112	611	1	2	CARDINAL
m-1112	614	1	3	CARDINAL
m-1112	615	1	one	CARDINAL
m-1112	616	1	polygon	ORG
m-1112	616	2	conductor`s	PERSON
m-1112	617	1	4	CARDINAL
m-1112	618	1	three	CARDINAL
m-1112	619	1	1	CARDINAL
m-1112	619	2	2	CARDINAL
m-1112	621	1	5	CARDINAL
m-1112	621	2	polygon vertices	ORG
m-1112	622	1	polygon	ORG
m-1112	622	2	2.y	CARDINAL
m-1112	622	3	2r.𝑒𝑖.𝑛𝑤𝑡	CARDINAL
m-1112	623	1	2r.[cos	CARDINAL
m-1112	625	1	polygon	ORG
m-1112	626	1	6a	CARDINAL
m-1112	627	1	ijo international journal of mathematics	ORG
m-1112	627	2	2992-4421	DATE
m-1112	627	3	08	CARDINAL
m-1112	628	1	08	DATE
m-1112	629	1	august 2025	DATE
m-1112	629	2	21	CARDINAL
m-1112	629	3	mfmf pns	LOC
m-1112	630	1	σ	ORG
m-1112	631	1	second	ORDINAL
m-1112	631	2	nine	CARDINAL
m-1112	631	3	𝐓𝐧	PERSON
m-1112	631	4	φ	ORG
m-1112	633	1	∆f/∆a	ORG
m-1112	633	2	lim	PERSON
m-1112	634	1	dfi	PERSON
m-1112	636	1	4	CARDINAL
m-1112	636	2	pns -space	ORG
m-1112	636	3	fig-1-3	DATE
m-1112	636	4	two	CARDINAL
m-1112	637	1	𝐦.𝐯³	CARDINAL
m-1112	637	2	2πr.f	CARDINAL
m-1112	637	3	2r	CARDINAL
m-1112	639	1	10−35	CARDINAL
m-1112	640	1	10−62	CARDINAL
m-1112	643	1	⊕	GPE
m-1112	644	1	1-2	CARDINAL
m-1112	644	2	⊕	GPE
m-1112	644	3	o	DATE
m-1112	644	4	2r	CARDINAL
m-1112	645	1	vp √c²−r² ).t	ORG
m-1112	645	2	ijo international journal of mathematics	ORG
m-1112	645	3	2992-4421	DATE
m-1112	645	4	08	CARDINAL
m-1112	646	1	08	DATE
m-1112	647	1	august 2025	DATE
m-1112	647	2	22	CARDINAL
m-1112	647	3	mfmf pns	LOC
m-1112	649	1	2r	CARDINAL
m-1112	653	1	3	CARDINAL
m-1112	653	2	0	CARDINAL
m-1112	654	1	3	CARDINAL
m-1112	654	2	±	CARDINAL
m-1112	654	3	±	CARDINAL
m-1112	656	1	2π.fp	CARDINAL
m-1112	663	1	a.sin θ	PERSON
m-1112	664	1	coswt	PERSON
m-1112	664	2	y = a.sin θ	PERSON
m-1112	664	3	a.cos θ = a.	ORG
m-1112	664	4	1	CARDINAL
m-1112	669	1	herpolhode	TIME
m-1112	669	2	lagrange`s	GPE
m-1112	669	3	𝐄 𝐊	PERSON
m-1112	669	4	1 2	CARDINAL
m-1112	671	1	1 2	CARDINAL
m-1112	672	1	² + w².sin ²	FAC
m-1112	672	2	a.cos	CARDINAL
m-1112	672	3	m.a²	ORG
m-1112	673	1	² 2	FAC
m-1112	673	2	1 𝑚,𝑎²	QUANTITY
m-1112	673	3	a.cos	CARDINAL
m-1112	674	1	+ 1 2 m a².w².sin	QUANTITY
m-1112	674	2	²	CARDINAL
m-1112	675	1	²θ	CARDINAL
m-1112	677	1	0	CARDINAL
m-1112	677	2	1	CARDINAL
m-1112	677	3	0	CARDINAL
m-1112	677	4	2	CARDINAL
m-1112	677	5	θ.cos	PERSON
m-1112	678	1	2θ	CARDINAL
m-1112	678	2	0	CARDINAL
m-1112	678	3	2𝛉	CARDINAL
m-1112	679	1	2π	CARDINAL
m-1112	679	2	cos	PRODUCT
m-1112	682	1	w ²	PRODUCT
m-1112	682	2	1	CARDINAL
m-1112	682	3	1	CARDINAL
m-1112	682	4	0	CARDINAL
m-1112	682	5	𝐊 𝟎	PRODUCT
m-1112	683	1	2	CARDINAL
m-1112	683	2	2	CARDINAL
m-1112	684	1	ijo international journal of mathematics	ORG
m-1112	684	2	2992-4421	DATE
m-1112	684	3	08	CARDINAL
m-1112	685	1	08	DATE
m-1112	686	1	august 2025	DATE
m-1112	686	2	23	CARDINAL
m-1112	686	3	mfmf pns	LOC
m-1112	687	1	𝐊 𝟎	PRODUCT
m-1112	688	1	3	CARDINAL
m-1112	688	2	3	CARDINAL
m-1112	688	3	0	CARDINAL
m-1112	688	4	𝐊 𝟎	PRODUCT
m-1112	688	5	±	CARDINAL
m-1112	688	6	w ²	LOC
m-1112	688	7	0	DATE
m-1112	688	8	0	CARDINAL
m-1112	689	1	4	CARDINAL
m-1112	689	2	w ²	FAC
m-1112	690	1	w ²	FAC
m-1112	690	2	0	CARDINAL
m-1112	691	1	w ²	FAC
m-1112	692	1	w ²	PRODUCT
m-1112	692	2	0	CARDINAL
m-1112	693	1	w ²	PRODUCT
m-1112	695	1	w ²	PRODUCT
m-1112	696	1	2π	CARDINAL
m-1112	698	1	5	CARDINAL
m-1112	698	2	two	CARDINAL
m-1112	701	1	2,√r2	CARDINAL
m-1112	703	1	1 2	CARDINAL
m-1112	703	2	−	GPE
m-1112	703	3	1 2	CARDINAL
m-1112	705	1	polygon	ORG
m-1112	706	1	𝐚𝟐𝐧	ORG
m-1112	707	1	7a	CARDINAL
m-1112	708	1	1	CARDINAL
m-1112	710	1	2	CARDINAL
m-1112	712	1	4	CARDINAL
m-1112	715	1	5	CARDINAL
m-1112	716	1	10−62	CARDINAL
m-1112	717	1	6	CARDINAL
m-1112	718	1	10−35	CARDINAL
m-1112	719	1	7	CARDINAL
m-1112	719	2	10−62	CARDINAL
m-1112	721	1	8	CARDINAL
m-1112	730	1	²	CARDINAL
m-1112	731	1	² ± 2.s	CARDINAL
m-1112	733	1	8a	CARDINAL
m-1112	734	1	ijo international journal of mathematics	ORG
m-1112	734	2	2992-4421	DATE
m-1112	734	3	08	CARDINAL
m-1112	735	1	08	DATE
m-1112	736	1	august 2025	DATE
m-1112	737	1	24	CARDINAL
m-1112	737	2	mfmf pns	LOC
m-1112	738	1	8	CARDINAL
m-1112	738	2	six	CARDINAL
m-1112	738	3	centrifugal force fc	ORG
m-1112	739	1	8	CARDINAL
m-1112	739	2	two	CARDINAL
m-1112	739	3	two	CARDINAL
m-1112	739	4	three	CARDINAL
m-1112	740	1	8b	CARDINAL
m-1112	741	1	fig-8|4|	DATE
m-1112	741	2	⏊	ORG
m-1112	741	3	2 halve ±	QUANTITY
m-1112	742	1	8	CARDINAL
m-1112	742	2	three	CARDINAL
m-1112	742	3	markos tetrahedron	PERSON
m-1112	744	1	⏊	ORG
m-1112	744	2	⏊	ORG
m-1112	745	1	8	CARDINAL
m-1112	745	2	two	CARDINAL
m-1112	748	1	fig-9	ORG
m-1112	748	2	second	ORDINAL
m-1112	749	1	2	CARDINAL
m-1112	750	1	second	ORDINAL
m-1112	751	1	lagrange`s	GPE
m-1112	751	2	0	CARDINAL
m-1112	751	3	δqin i=1	PERSON
m-1112	752	1	fig-3	ORG
m-1112	752	2	21	DATE
m-1112	752	3	22	CARDINAL
m-1112	753	1	8	CARDINAL
m-1112	753	2	5	CARDINAL
m-1112	754	1	ijo international journal of mathematics	ORG
m-1112	754	2	2992-4421	DATE
m-1112	754	3	08	CARDINAL
m-1112	755	1	08	DATE
m-1112	756	1	august 2025	DATE
m-1112	756	2	25	CARDINAL
m-1112	756	3	mfmf pns	LOC
m-1112	757	1	euclidean & material-geometry	ORG
m-1112	757	2	three	CARDINAL
m-1112	758	1	1	CARDINAL
m-1112	758	2	one	CARDINAL
m-1112	758	3	one	CARDINAL
m-1112	759	1	two	CARDINAL
m-1112	760	1	three	CARDINAL
m-1112	760	2	four	CARDINAL
m-1112	761	1	five	CARDINAL
m-1112	762	1	1	CARDINAL
m-1112	762	2	one	CARDINAL
m-1112	762	3	two	CARDINAL
m-1112	762	4	2	CARDINAL
m-1112	762	5	two	CARDINAL
m-1112	762	6	four	CARDINAL
m-1112	762	7	one	CARDINAL
m-1112	762	8	3	CARDINAL
m-1112	762	9	three	CARDINAL
m-1112	762	10	six	CARDINAL
m-1112	762	11	two	CARDINAL
m-1112	762	12	four	CARDINAL
m-1112	762	13	eight	CARDINAL
m-1112	762	14	three	CARDINAL
m-1112	762	15	⊕	PERSON
m-1112	763	1	2-3	DATE
m-1112	767	1	2	CARDINAL
m-1112	767	2	²	CARDINAL
m-1112	768	1	⊕	GPE
m-1112	768	2	⊕	GPE
m-1112	769	1	ab	GPE
m-1112	769	2	4	CARDINAL
m-1112	769	3	6	CARDINAL
m-1112	769	4	8	CARDINAL
m-1112	771	1	6	CARDINAL
m-1112	771	2	first	ORDINAL
m-1112	771	3	two	CARDINAL
m-1112	771	4	.only ijo international journal of mathematics	ORG
m-1112	771	5	2992-4421	DATE
m-1112	772	1	08	CARDINAL
m-1112	773	1	08	DATE
m-1112	774	1	august 2025	DATE
m-1112	774	2	26	CARDINAL
m-1112	774	3	mfmf pns	LOC
m-1112	775	1	8	CARDINAL
m-1112	775	2	six	CARDINAL
m-1112	777	1	-6	DATE
m-1112	778	1	three	CARDINAL
m-1112	779	1	γ = r. 𝐬𝐞𝐜𝛗.	PERSON
m-1112	780	1	97	CARDINAL
m-1112	781	1	abc	ORG
m-1112	781	2	kakbkc = triangle	ORG
m-1112	781	3	aebece = triangle	PERSON
m-1112	784	1	γ = 𝒄 𝒗	ORG
m-1112	786	1	φ	ORG
m-1112	788	1	0	DATE
m-1112	788	2	⊕	GPE
m-1112	788	3	⊕	GPE
m-1112	790	1	6	CARDINAL
m-1112	791	1	three	CARDINAL
m-1112	791	2	three	CARDINAL
m-1112	791	3	2s ²	QUANTITY
m-1112	791	4	²	CARDINAL
m-1112	791	5	three	CARDINAL
m-1112	791	6	kb kc	PERSON
m-1112	791	7	ae	ORG
m-1112	791	8	±	CARDINAL
m-1112	792	1	ijo international journal of mathematics	ORG
m-1112	792	2	2992-4421	DATE
m-1112	792	3	08	CARDINAL
m-1112	793	1	08	DATE
m-1112	794	1	august 2025	DATE
m-1112	794	2	27	CARDINAL
m-1112	794	3	mfmf pns	LOC
m-1112	796	1	3	CARDINAL
m-1112	796	2	3	CARDINAL
m-1112	796	3	3	CARDINAL
m-1112	797	1	three	CARDINAL
m-1112	797	2	⊕	GPE
m-1112	797	3	⊕	GPE
m-1112	797	4	three	CARDINAL
m-1112	798	1	sec	ORG
m-1112	798	2	±	CARDINAL
m-1112	801	1	the spring	DATE
m-1112	802	1	𝐀𝐄	GPE
m-1112	802	2	𝐁𝐄	GPE
m-1112	802	3	𝐊𝐀	ORG
m-1112	802	4	𝐊𝐁	GPE
m-1112	802	5	𝐊𝐂	ORG
m-1112	802	6	three	CARDINAL
m-1112	802	7	𝐊𝐀𝐊𝐁	ORG
m-1112	802	8	𝐊𝐁 𝐊𝐂	ORG
m-1112	802	9	𝐊𝐂𝐊𝐀	ORG
m-1112	802	10	six	CARDINAL
m-1112	802	11	𝐁𝐂𝐄	ORG
m-1112	803	1	𝐂𝐀𝐄	GPE
m-1112	804	1	𝐁𝐀𝐄	ORG
m-1112	804	2	dc	GPE
m-1112	804	3	𝐊𝐁 𝐊𝐂	ORG
m-1112	804	4	bc	ORG
m-1112	804	5	𝐁𝐄𝐂𝐄	ORG
m-1112	804	6	𝐊𝐀𝐊𝐂	ORG
m-1112	804	7	ac	ORG
m-1112	804	8	𝐀𝐄𝐂𝐄	ORG
m-1112	804	9	ab	GPE
m-1112	804	10	𝐀𝐄𝐁𝐄	ORG
m-1112	804	11	18	CARDINAL
m-1112	804	12	kb kc	PERSON
m-1112	804	13	ceba`s	GPE
m-1112	805	1	27	CARDINAL
m-1112	805	2	cpt	ORG
m-1112	806	1	8	CARDINAL
m-1112	807	1	fig	ORG
m-1112	807	2	6	CARDINAL
m-1112	807	3	one	CARDINAL
m-1112	807	4	±	CARDINAL
m-1112	808	1	mr².w̅	PERSON
m-1112	809	1	affine	ORG
m-1112	810	1	two	CARDINAL
m-1112	812	1	2πr	ORDINAL
m-1112	812	2	2π	CARDINAL
m-1112	813	1	2π/[v/𝑟𝑐	CARDINAL
m-1112	813	2	rv	GPE
m-1112	814	1	𝐬𝐞𝐜𝛗 =	PERSON
m-1112	816	1	± 1 /	QUANTITY
m-1112	817	1	2992-4421	DATE
m-1112	818	1	08	CARDINAL
m-1112	819	1	08	DATE
m-1112	820	1	august 2025	DATE
m-1112	820	2	28	CARDINAL
m-1112	820	3	mfmf pns	LOC
m-1112	821	1	γ	GPE
m-1112	822	1	2r	CARDINAL
m-1112	822	2	̅r	ORG
m-1112	823	1	2π	CARDINAL
m-1112	824	1	2πf	ORDINAL
m-1112	827	1	s. d(w	PERSON
m-1112	828	1	σ φ	PERSON
m-1112	829	1	second	ORDINAL
m-1112	833	1	⊕	GPE
m-1112	833	2	⊕	GPE
m-1112	833	3	three	CARDINAL
m-1112	833	4	⊕	GPE
m-1112	836	1	affine	NORP
m-1112	840	1	two	CARDINAL
m-1112	843	1	±	CARDINAL
m-1112	843	2	2(wr)²	CARDINAL
m-1112	844	1	ijo international journal of mathematics	ORG
m-1112	844	2	2992-4421	DATE
m-1112	845	1	08	CARDINAL
m-1112	846	1	08	DATE
m-1112	847	1	august 2025	DATE
m-1112	847	2	29	CARDINAL
m-1112	847	3	mfmf pns	LOC
m-1112	848	1	ellipsoid	ORG
m-1112	848	2	herpolhode	TIME
m-1112	851	1	ellipsoid	ORG
m-1112	852	1	ellipsoid	ORG
m-1112	852	2	herpolhode	TIME
m-1112	852	3	cpt	ORG
m-1112	853	1	|⊕	ORG
m-1112	854	1	↕	PERSON
m-1112	854	2	3	CARDINAL
m-1112	859	1	x'+	GPE
m-1112	861	1	dao}/ γ	PERSON
m-1112	861	2	ada	PERSON
m-1112	864	1	72	CARDINAL
m-1112	865	1	95	CARDINAL
m-1112	865	2	1,41429.[2,9979346.10 8	DATE
m-1112	865	3	coulomb`s	GPE
m-1112	868	1	6,8116.10−12	CARDINAL
m-1112	868	2	6,68056.10−11	CARDINAL
m-1112	871	1	𝟐𝛑𝐫	NORP
m-1112	873	1	𝟐𝛑𝐫	NORP
m-1112	878	1	two	CARDINAL
m-1112	881	1	→{w≡em	ORG
m-1112	882	1	2.λc.sin.2φ	CARDINAL
m-1112	884	1	87-89	CARDINAL
m-1112	884	2	three	CARDINAL
m-1112	886	1	2s²=	ORG
m-1112	886	2	3	CARDINAL
m-1112	887	1	ijo international journal of mathematics	ORG
m-1112	887	2	2992-4421	DATE
m-1112	887	3	08	CARDINAL
m-1112	888	1	08	DATE
m-1112	889	1	august 2025	DATE
m-1112	889	2	30	CARDINAL
m-1112	889	3	mfmf pns	LOC
m-1112	890	1	⊕	GPE
m-1112	890	2	7	CARDINAL
m-1112	891	1	²	CARDINAL
m-1112	891	2	+2.sv̅.i	PERSON
m-1112	892	1	⊕	GPE
m-1112	893	1	7a	CARDINAL
m-1112	894	1	²	CARDINAL
m-1112	894	2	+2.sv̅.i	PERSON
m-1112	895	1	⊕	GPE
m-1112	895	2	2992-4421	DATE
m-1112	895	3	08	CARDINAL
m-1112	896	1	08	DATE
m-1112	897	1	august 2025	DATE
m-1112	897	2	31	CARDINAL
m-1112	897	3	mfmf pns	LOC
m-1112	899	1	anti-quarks	NORP
m-1112	901	1	²	CARDINAL
m-1112	902	1	+2.sv̅.i	PERSON
m-1112	904	1	7	CARDINAL
m-1112	905	1	⊕	GPE
m-1112	907	1	²	CARDINAL
m-1112	908	1	+2.sv̅.i	PERSON
m-1112	910	1	⊕	GPE
m-1112	910	2	three	CARDINAL
m-1112	911	1	7,593.1035	CARDINAL
m-1112	911	2	ijo international journal of mathematics	ORG
m-1112	911	3	2992-4421	DATE
m-1112	911	4	08	CARDINAL
m-1112	912	1	08	DATE
m-1112	913	1	august 2025	DATE
m-1112	913	2	32	CARDINAL
m-1112	913	3	mfmf pns	LOC
m-1112	914	1	8	CARDINAL
m-1112	914	2	two	CARDINAL
m-1112	914	3	three	CARDINAL
m-1112	915	1	two	CARDINAL
m-1112	915	2	⊥ cp	GPE
m-1112	915	3	three	CARDINAL
m-1112	915	4	two	CARDINAL
m-1112	916	1	62	CARDINAL
m-1112	921	1	²	CARDINAL
m-1112	921	2	²	CARDINAL
m-1112	924	1	² = cmnh square	QUANTITY
m-1112	925	1	47 51	CARDINAL
m-1112	925	2	two	CARDINAL
m-1112	925	3	1	CARDINAL
m-1112	925	4	2	CARDINAL
m-1112	925	5	𝐀	ORG
m-1112	925	6	² = cmnh square	QUANTITY
m-1112	927	1	47 51	CARDINAL
m-1112	927	2	98a	CARDINAL
m-1112	928	1	two	CARDINAL
m-1112	928	2	²	CARDINAL
m-1112	928	3	|∷|	DATE
m-1112	928	4	2-half	CARDINAL
m-1112	928	5	cb ²	ORG
m-1112	928	6	⤭	DATE
m-1112	928	7	⊕	GPE
m-1112	931	1	⊕→⊝-charge	PRODUCT
m-1112	931	2	ijo international journal of mathematics	ORG
m-1112	931	3	2992-4421	DATE
m-1112	931	4	08	CARDINAL
m-1112	932	1	08	DATE
m-1112	933	1	august 2025	DATE
m-1112	933	2	33	CARDINAL
m-1112	933	3	mfmf pns	LOC
m-1112	935	1	2πf	ORDINAL
m-1112	936	1	²	CARDINAL
m-1112	936	2	σ φ	PERSON
m-1112	936	3	1	CARDINAL
m-1112	937	1	2d	DATE
m-1112	938	1	2d.f²	CARDINAL
m-1112	939	1	2d	DATE
m-1112	939	2	|v⃗	LANGUAGE
m-1112	940	1	v.[d w	PERSON
m-1112	940	2	2	CARDINAL
m-1112	940	3	𝐂𝐀𝐏	ORG
m-1112	940	4	⃗	ORG
m-1112	941	1	𝟐𝛑𝐫	NORP
m-1112	941	2	σ φ	PERSON
m-1112	942	1	𝐅𝐨𝐫𝐜𝐞 𝐀𝐫𝐞𝐚	PERSON
m-1112	946	1	1,41429.2,9979346.108	CARDINAL
m-1112	947	1	1,574.10−19	CARDINAL
m-1112	947	2	σ φ ←	PERSON
m-1112	947	3	φ	ORG
m-1112	947	4	σ	ORG
m-1112	948	1	σ	ORG
m-1112	948	2	0	CARDINAL
m-1112	950	1	2	CARDINAL
m-1112	950	2	3	CARDINAL
m-1112	950	3	∷	GPE
m-1112	952	1	↑	ORG
m-1112	953	1	|∷|	DATE
m-1112	953	2	2-half	CARDINAL
m-1112	953	3	⤭	DATE
m-1112	954	1	⊕	GPE
m-1112	955	1	∷ 2	FAC
m-1112	956	1	⊕	GPE
m-1112	956	2	∷ 2	FAC
m-1112	956	3	0	CARDINAL
m-1112	959	1	2𝐫	CARDINAL
m-1112	960	1	2π	CARDINAL
m-1112	960	2	2π	CARDINAL
m-1112	961	1	mpm ≡ markos	ORG
m-1112	962	1	cp⃖⃗⃗⃗ ⊥ ca⃖⃗⃗⃗	PERSON
m-1112	962	2	c⃡c`ap	PRODUCT
m-1112	963	1	4	CARDINAL
m-1112	963	2	4	CARDINAL
m-1112	965	1	two	CARDINAL
m-1112	966	1	2π	CARDINAL
m-1112	966	2	²	CARDINAL
m-1112	966	3	cd⃖⃗ ⃗⃗	PERSON
m-1112	967	1	half	CARDINAL
m-1112	967	2	𝐎𝐁	ORG
m-1112	967	3	²	CARDINAL
m-1112	967	4	𝐎𝐁	ORG
m-1112	967	5	two	CARDINAL
m-1112	968	1	theone	ORG
m-1112	968	2	two	CARDINAL
m-1112	968	3	three	CARDINAL
m-1112	968	4	three	CARDINAL
m-1112	969	1	ijo international journal of mathematics	ORG
m-1112	969	2	2992-4421	DATE
m-1112	969	3	08	CARDINAL
m-1112	970	1	08	DATE
m-1112	971	1	august 2025	DATE
m-1112	971	2	34	CARDINAL
m-1112	971	3	mfmf pns	LOC
m-1112	973	1	ea	CARDINAL
m-1112	973	2	ec	ORG
m-1112	973	3	2	CARDINAL
m-1112	973	4	3	CARDINAL
m-1112	973	5	4	CARDINAL
m-1112	974	1	3	CARDINAL
m-1112	974	2	two	CARDINAL
m-1112	974	3	⊥ cp	GPE
m-1112	974	4	three	CARDINAL
m-1112	974	5	two	CARDINAL
m-1112	974	6	|copb’|	PERSON
m-1112	976	1	2	CARDINAL
m-1112	977	1	two	CARDINAL
m-1112	977	2	1	CARDINAL
m-1112	977	3	2	CARDINAL
m-1112	977	4	3	CARDINAL
m-1112	977	5	𝐀	ORG
m-1112	977	6	² = cmnh square	QUANTITY
m-1112	977	7	²	CARDINAL
m-1112	977	8	47-51	CARDINAL
m-1112	978	1	62	CARDINAL
m-1112	978	2	1	CARDINAL
m-1112	978	3	two	CARDINAL
m-1112	978	4	three	CARDINAL
m-1112	978	5	two	CARDINAL
m-1112	979	1	2	CARDINAL
m-1112	979	2	2	CARDINAL
m-1112	980	1	3	CARDINAL
m-1112	981	1	2r	CARDINAL
m-1112	981	2	2n	CARDINAL
m-1112	982	1	polygon	ORG
m-1112	983	1	2.n	CARDINAL
m-1112	983	2	−	GPE
m-1112	983	3	polygon	ORG
m-1112	984	1	ijo international journal of mathematics	ORG
m-1112	984	2	2992-4421	DATE
m-1112	984	3	08	CARDINAL
m-1112	985	1	08	DATE
m-1112	986	1	august 2025	DATE
m-1112	986	2	35	CARDINAL
m-1112	986	3	mfmf pns	LOC
m-1112	987	1	8	CARDINAL
m-1112	989	1	9	CARDINAL
m-1112	990	1	za	PERSON
m-1112	990	2	zb	ORG
m-1112	990	3	three	CARDINAL
m-1112	990	4	three	CARDINAL
m-1112	990	5	1	CARDINAL
m-1112	990	6	2	DATE
m-1112	990	7	3	DATE
m-1112	990	8	4	DATE
m-1112	990	9	5	DATE
m-1112	990	10	6	DATE
m-1112	990	11	7	DATE
m-1112	990	12	8	DATE
m-1112	991	1	three	CARDINAL
m-1112	992	1	61	CARDINAL
m-1112	993	1	2	CARDINAL
m-1112	993	2	4	DATE
m-1112	993	3	8	DATE
m-1112	993	4	16	CARDINAL
m-1112	993	5	4	CARDINAL
m-1112	993	6	2	CARDINAL
m-1112	993	7	4	CARDINAL
m-1112	994	1	8)	CARDINAL
m-1112	994	2	16	CARDINAL
m-1112	995	1	8	CARDINAL
m-1112	997	1	1	CARDINAL
m-1112	997	2	⊕	GPE
m-1112	997	3	1	CARDINAL
m-1112	998	1	zero	CARDINAL
m-1112	998	2	zero	CARDINAL
m-1112	998	3	two	CARDINAL
m-1112	999	1	z-point ⊕	MONEY
m-1112	1000	1	only three	CARDINAL
m-1112	1000	2	⊕	GPE
m-1112	1002	1	0	DATE
m-1112	1005	1	ijo international journal of mathematics	ORG
m-1112	1005	2	2992-4421	DATE
m-1112	1005	3	08	CARDINAL
m-1112	1006	1	08	DATE
m-1112	1007	1	august 2025	DATE
m-1112	1007	2	36	CARDINAL
m-1112	1007	3	mfmf pns	LOC
m-1112	1008	1	2n=1−4	CARDINAL
m-1112	1008	2	2	CARDINAL
m-1112	1008	3	4	DATE
m-1112	1008	4	8	DATE
m-1112	1008	5	16	CARDINAL
m-1112	1008	6	4	CARDINAL
m-1112	1008	7	the first	DATE
m-1112	1008	8	1	CARDINAL
m-1112	1008	9	2points	PRODUCT
m-1112	1008	10	3points	PRODUCT
m-1112	1008	11	4	CARDINAL
m-1112	1010	1	2 n	QUANTITY
m-1112	1010	2	3	CARDINAL
m-1112	1010	3	8	CARDINAL
m-1112	1011	1	1	CARDINAL
m-1112	1011	2	eight	CARDINAL
m-1112	1011	3	π g ≡ energy ≡	ORG
m-1112	1014	1	1+√5	CARDINAL
m-1112	1014	2	σ	CARDINAL
m-1112	1014	3	2πr ≡ h	ORG
m-1112	1014	4	4𝜋2	CARDINAL
m-1112	1019	1	1	CARDINAL
m-1112	1019	2	1	CARDINAL
m-1112	1019	3	1	CARDINAL
m-1112	1019	4	2	CARDINAL
m-1112	1020	1	3	CARDINAL
m-1112	1021	1	0	CARDINAL
m-1112	1021	2	2⃡	CARDINAL
m-1112	1022	1	1e	CARDINAL
m-1112	1023	1	4	CARDINAL
m-1112	1024	1	0	CARDINAL
m-1112	1024	2	2⃡	CARDINAL
m-1112	1025	1	1e	CARDINAL
m-1112	1027	1	ke ke ke ke	PERSON
m-1112	1027	2	8	CARDINAL
m-1112	1027	3	ke ke ke ke	PERSON
m-1112	1031	1	↔anti	ORG
m-1112	1031	2	e−= ⊝→	PERSON
m-1112	1031	3	9,11.10−31 kg	QUANTITY
m-1112	1031	4	1,602.10−19	CARDINAL
m-1112	1031	5	5,0.10−17	CARDINAL
m-1112	1031	6	1	CARDINAL
m-1112	1032	1	e−→	DATE
m-1112	1032	2	2	CARDINAL
m-1112	1032	3	1	CARDINAL
m-1112	1033	1	1	CARDINAL
m-1112	1033	2	1 me + 1	CARDINAL
m-1112	1033	3	2	CARDINAL
m-1112	1033	4	2 9,11.10−31	CARDINAL
m-1112	1033	5	1 4,555.10−31	CARDINAL
m-1112	1033	6	1 2	CARDINAL
m-1112	1033	7	1 2	CARDINAL
m-1112	1033	8	4,555	CARDINAL
m-1112	1034	1	10−31].[2,998	CARDINAL
m-1112	1035	1	108]²	CARDINAL
m-1112	1036	1	10−15	CARDINAL
m-1112	1036	2	j = j	PERSON
m-1112	1036	3	1,6022.10−19	CARDINAL
m-1112	1037	1	4,2616059	CARDINAL
m-1112	1038	1	10	CARDINAL
m-1112	1038	2	42,616059	CARDINAL
m-1112	1038	3	6,827945.10−15	CARDINAL
m-1112	1039	1	1,0304667	CARDINAL
m-1112	1040	1	10 19	CARDINAL
m-1112	1040	2	𝐟 𝛄 ijo international journal of mathematics	ORG
m-1112	1040	3	2992-4421	DATE
m-1112	1040	4	08	CARDINAL
m-1112	1041	1	08	DATE
m-1112	1042	1	august 2025	DATE
m-1112	1042	2	37	CARDINAL
m-1112	1042	3	mfmf pns	LOC
m-1112	1044	1	three	CARDINAL
m-1112	1045	1	60	CARDINAL
m-1112	1045	2	9a	CARDINAL
m-1112	1045	3	3	CARDINAL
m-1112	1045	4	2	CARDINAL
m-1112	1045	5	one	CARDINAL
m-1112	1048	1	f-23	DATE
m-1112	1050	1	⊕	GPE
m-1112	1054	1	2 σ	CARDINAL
m-1112	1054	2	ijo international journal of mathematics	ORG
m-1112	1054	3	2992-4421	DATE
m-1112	1054	4	08	CARDINAL
m-1112	1055	1	08	DATE
m-1112	1056	1	august 2025	DATE
m-1112	1056	2	38	CARDINAL
m-1112	1056	3	mfmf pns	LOC
m-1112	1058	1	58	CARDINAL
m-1112	1058	2	three	CARDINAL
m-1112	1058	3	three	CARDINAL
m-1112	1058	4	6	CARDINAL
m-1112	1059	1	3	CARDINAL
m-1112	1059	2	18	CARDINAL
m-1112	1060	1	1	CARDINAL
m-1112	1063	1	2	CARDINAL
m-1112	1064	1	bka |x| cka ckb	PERSON
m-1112	1065	1	3	CARDINAL
m-1112	1066	1	3	CARDINAL
m-1112	1066	2	2	CARDINAL
m-1112	1068	1	3conductors	PRODUCT
m-1112	1068	2	102	CARDINAL
m-1112	1068	3	3	CARDINAL
m-1112	1068	4	8	CARDINAL
m-1112	1068	5	⊕ 8	DATE
m-1112	1069	1	16	CARDINAL
m-1112	1069	2	1	CARDINAL
m-1112	1069	3	2	DATE
m-1112	1069	4	3	DATE
m-1112	1069	5	4 5	DATE
m-1112	1069	6	6	DATE
m-1112	1069	7	7	DATE
m-1112	1069	8	8 9	DATE
m-1112	1069	9	10	DATE
m-1112	1069	10	11	DATE
m-1112	1069	11	12	DATE
m-1112	1069	12	13	DATE
m-1112	1069	13	14	DATE
m-1112	1069	14	15	DATE
m-1112	1069	15	16	CARDINAL
m-1112	1069	16	16	CARDINAL
m-1112	1069	17	z-(∆d	DATE
m-1112	1069	18	abc	ORG
m-1112	1069	19	t3	ORG
m-1112	1069	20	2	CARDINAL
m-1112	1070	1	2πr	CARDINAL
m-1112	1074	1	fn̅	GPE
m-1112	1076	1	8	CARDINAL
m-1112	1081	1	1	CARDINAL
m-1112	1081	2	one	CARDINAL
m-1112	1083	1	ijo international journal of mathematics	ORG
m-1112	1083	2	2992-4421	DATE
m-1112	1083	3	08	CARDINAL
m-1112	1084	1	08	DATE
m-1112	1085	1	august 2025	DATE
m-1112	1085	2	39	CARDINAL
m-1112	1085	3	mfmf pns	LOC
m-1112	1088	1	9b	CARDINAL
m-1112	1088	2	3	CARDINAL
m-1112	1088	3	2	CARDINAL
m-1112	1089	1	8anti	CARDINAL
m-1112	1089	2	da1b	NORP
m-1112	1089	3	⊕ 8space	DATE
m-1112	1089	4	16	CARDINAL
m-1112	1089	5	1	CARDINAL
m-1112	1089	6	2	DATE
m-1112	1089	7	3	DATE
m-1112	1089	8	4	DATE
m-1112	1089	9	5	DATE
m-1112	1089	10	6	DATE
m-1112	1089	11	7	DATE
m-1112	1089	12	8 9	DATE
m-1112	1089	13	10	DATE
m-1112	1089	14	11	DATE
m-1112	1089	15	12	DATE
m-1112	1089	16	13	DATE
m-1112	1089	17	14	DATE
m-1112	1089	18	15	DATE
m-1112	1089	19	16	CARDINAL
m-1112	1090	1	16	CARDINAL
m-1112	1091	1	abc	ORG
m-1112	1093	1	88	CARDINAL
m-1112	1093	2	3-d	QUANTITY
m-1112	1093	3	9c	CARDINAL
m-1112	1093	4	4	CARDINAL
m-1112	1094	1	2n=1−4	CARDINAL
m-1112	1094	2	2	CARDINAL
m-1112	1094	3	4	DATE
m-1112	1094	4	8	DATE
m-1112	1094	5	16	CARDINAL
m-1112	1094	6	4	CARDINAL
m-1112	1094	7	2992-4421	DATE
m-1112	1095	1	08	CARDINAL
m-1112	1096	1	08	DATE
m-1112	1097	1	august 2025	DATE
m-1112	1097	2	40	CARDINAL
m-1112	1097	3	mfmf pns	LOC
m-1112	1098	1	9d	CARDINAL
m-1112	1099	1	deka hexahedron	PERSON
m-1112	1099	2	4	CARDINAL
m-1112	1100	1	tetrahedron ≡	ORG
m-1112	1101	1	2	CARDINAL
m-1112	1101	2	1	CARDINAL
m-1112	1102	1	8 2	CARDINAL
m-1112	1102	2	6	CARDINAL
m-1112	1102	3	1𝑒	CARDINAL
m-1112	1102	4	2⃡	CARDINAL
m-1112	1102	5	1𝑒	CARDINAL
m-1112	1102	6	1𝑒	CARDINAL
m-1112	1102	7	± 2 2	MONEY
m-1112	1102	8	⓪	PERSON
m-1112	1102	9	first	ORDINAL
m-1112	1102	10	zero	CARDINAL
m-1112	1102	11	1e	CARDINAL
m-1112	1102	12	first	ORDINAL
m-1112	1102	13	①	ORG
m-1112	1102	14	2	CARDINAL
m-1112	1102	15	①	ORG
m-1112	1102	16	2e	CARDINAL
m-1112	1102	17	2⃡	CARDINAL
m-1112	1102	18	1⃗	CARDINAL
m-1112	1102	19	1⃗⃖	DATE
m-1112	1102	20	nutation`s	GPE
m-1112	1103	1	mwhich	PERSON
m-1112	1104	1	2μ.b	CARDINAL
m-1112	1106	1	ijo international journal of mathematics	ORG
m-1112	1106	2	2992-4421	DATE
m-1112	1106	3	08	CARDINAL
m-1112	1107	1	08	DATE
m-1112	1108	1	august 2025	DATE
m-1112	1108	2	41	CARDINAL
m-1112	1108	3	mfmf pns	LOC
m-1112	1109	1	two	CARDINAL
m-1112	1109	2	1	CARDINAL
m-1112	1109	3	6	CARDINAL
m-1112	1109	4	2	CARDINAL
m-1112	1109	5	5	CARDINAL
m-1112	1109	6	3	CARDINAL
m-1112	1109	7	8	CARDINAL
m-1112	1109	8	4 ↔7	TIME
m-1112	1109	9	⃗	ORG
m-1112	1110	1	one	CARDINAL
m-1112	1111	1	zero	CARDINAL
m-1112	1112	1	first	ORDINAL
m-1112	1112	2	4	CARDINAL
m-1112	1112	3	9c--2 1	DATE
m-1112	1112	4	first	ORDINAL
m-1112	1112	5	2	CARDINAL
m-1112	1112	6	first	ORDINAL
m-1112	1112	7	max	PERSON
m-1112	1113	1	2.n²	CARDINAL
m-1112	1113	2	8	CARDINAL
m-1112	1113	3	3	CARDINAL
m-1112	1113	4	first	ORDINAL
m-1112	1114	1	4	CARDINAL
m-1112	1114	2	2	CARDINAL
m-1112	1114	3	3	DATE
m-1112	1114	4	4	DATE
m-1112	1114	5	5	DATE
m-1112	1114	6	6	DATE
m-1112	1114	7	7	DATE
m-1112	1114	8	8	CARDINAL
m-1112	1115	1	deka hexahedron	PERSON
m-1112	1115	2	4	CARDINAL
m-1112	1115	3	3	CARDINAL
m-1112	1115	4	2	CARDINAL
m-1112	1115	5	1	CARDINAL
m-1112	1118	1	70	CARDINAL
m-1112	1118	2	two	CARDINAL
m-1112	1118	3	↕	PERSON
m-1112	1118	4	↕|≡|𝐐 ⇉	PERSON
m-1112	1118	5	|aka|	PERSON
m-1112	1119	1	⃗	ORG
m-1112	1120	1	𝐲].|aka|	GPE
m-1112	1121	1	↔	ORG
m-1112	1121	2	↕|.|aka|	PERSON
m-1112	1121	3	three	CARDINAL
m-1112	1125	1	8 2	CARDINAL
m-1112	1125	2	6	CARDINAL
m-1112	1125	3	10	CARDINAL
m-1112	1125	4	8	CARDINAL
m-1112	1125	5	1𝑒 0|	MONEY
m-1112	1126	1	2|⃖⃗	CARDINAL
m-1112	1126	2	1	CARDINAL
m-1112	1126	3	1𝑒/	CARDINAL
m-1112	1126	4	②	CARDINAL
m-1112	1126	5	2⃡ + 8	DATE
m-1112	1126	6	10	CARDINAL
m-1112	1126	7	two	CARDINAL
m-1112	1126	8	1e	CARDINAL
m-1112	1126	9	0	CARDINAL
m-1112	1127	1	1e	CARDINAL
m-1112	1127	2	0	CARDINAL
m-1112	1128	1	8	CARDINAL
m-1112	1129	1	⓪	PERSON
m-1112	1129	2	first	ORDINAL
m-1112	1129	3	zero	CARDINAL
m-1112	1129	4	1e	CARDINAL
m-1112	1129	5	first	ORDINAL
m-1112	1129	6	①	ORG
m-1112	1129	7	2	CARDINAL
m-1112	1129	8	①	ORG
m-1112	1129	9	2e	CARDINAL
m-1112	1129	10	1⃗	CARDINAL
m-1112	1129	11	1⃗⃖	DATE
m-1112	1130	1	①	ORG
m-1112	1130	2	first	ORDINAL
m-1112	1130	3	one	CARDINAL
m-1112	1130	4	ijo international journal of mathematics	ORG
m-1112	1130	5	2992-4421	DATE
m-1112	1131	1	08	CARDINAL
m-1112	1132	1	08	DATE
m-1112	1133	1	august 2025	DATE
m-1112	1133	2	42	CARDINAL
m-1112	1133	3	mfmf pns	LOC
m-1112	1134	1	2e	CARDINAL
m-1112	1134	2	nutation`s	GPE
m-1112	1135	1	mwhich	PERSON
m-1112	1135	2	2μ.b	CARDINAL
m-1112	1135	3	hbh	ORG
m-1112	1136	1	6	CARDINAL
m-1112	1136	2	two	CARDINAL
m-1112	1136	3	1 ↔ 6	MONEY
m-1112	1136	4	2	CARDINAL
m-1112	1136	5	5	CARDINAL
m-1112	1136	6	3	CARDINAL
m-1112	1136	7	8	CARDINAL
m-1112	1136	8	4 ↔7	TIME
m-1112	1136	9	⃗	ORG
m-1112	1137	1	one	CARDINAL
m-1112	1138	1	1	CARDINAL
m-1112	1139	1	2	CARDINAL
m-1112	1140	1	3	CARDINAL
m-1112	1141	1	4	CARDINAL
m-1112	1141	2	62	CARDINAL
m-1112	1142	1	one	CARDINAL
m-1112	1147	1	2πrf	CARDINAL
m-1112	1150	1	9e	CARDINAL
m-1112	1150	2	three	CARDINAL
m-1112	1151	1	tcic	LOC
m-1112	1153	1	three	CARDINAL
m-1112	1154	1	1	CARDINAL
m-1112	1154	2	2	CARDINAL
m-1112	1158	1	ijo international journal of mathematics	ORG
m-1112	1158	2	2992-4421	DATE
m-1112	1158	3	08	CARDINAL
m-1112	1159	1	08	DATE
m-1112	1160	1	august 2025	DATE
m-1112	1160	2	43	CARDINAL
m-1112	1160	3	mfmf pns	LOC
m-1112	1161	1	2	CARDINAL
m-1112	1162	1	↔	GPE
m-1112	1162	2	8	CARDINAL
m-1112	1163	1	g ≡ g.ke ≡	ORG
m-1112	1165	1	9,8078925	CARDINAL
m-1112	1165	2	6,8116.10−12	CARDINAL
m-1112	1165	3	6,68056.10−11	CARDINAL
m-1112	1165	4	nutation`s	GPE
m-1112	1170	1	1-degree	QUANTITY
m-1112	1170	2	0	CARDINAL
m-1112	1170	3	2π	CARDINAL
m-1112	1170	4	2π.j3w sq	QUANTITY
m-1112	1170	5	2π.j3w	CARDINAL
m-1112	1170	6	2	CARDINAL
m-1112	1172	1	70	CARDINAL
m-1112	1175	1	one	CARDINAL
m-1112	1175	2	1+ √5	QUANTITY
m-1112	1176	1	4πr	CARDINAL
m-1112	1177	1	σ 𝛷 2πr	PERSON
m-1112	1177	2	b̅ ≡	ORG
m-1112	1178	1	ijo international journal of mathematics	ORG
m-1112	1178	2	2992-4421	DATE
m-1112	1178	3	08	CARDINAL
m-1112	1179	1	08	DATE
m-1112	1180	1	august 2025	DATE
m-1112	1180	2	44	DATE
m-1112	1180	3	mfmf pns	LOC
m-1112	1181	1	l ≡ s ≡	ORG
m-1112	1184	1	2	CARDINAL
m-1112	1184	2	first	ORDINAL
m-1112	1184	3	𝐟𝐍	PERSON
m-1112	1185	1	σ 𝛷	PERSON
m-1112	1188	1	18,817009.10−24	CARDINAL
m-1112	1190	1	18,817009	CARDINAL
m-1112	1191	1	10−24	CARDINAL
m-1112	1192	1	4,19	DATE
m-1112	1192	2	103	CARDINAL
m-1112	1193	1	10−27 kcal	QUANTITY
m-1112	1194	1	1ev	ORDINAL
m-1112	1194	2	96,363636 kj	PERSON
m-1112	1195	1	10−27 kcal	QUANTITY
m-1112	1196	1	4,660399.10−29	CARDINAL
m-1112	1198	1	1 m2	QUANTITY
m-1112	1198	2	60s	DATE
m-1112	1198	3	20 kcal	QUANTITY
m-1112	1198	4	20.(4,19	CARDINAL
m-1112	1198	5	103	CARDINAL
m-1112	1202	1	2,24546.10−28	CARDINAL
m-1112	1203	1	years-ago	DATE
m-1112	1203	2	106.365.24.3600	CARDINAL
m-1112	1203	3	3,1536.1013	CARDINAL
m-1112	1203	4	sec	ORG
m-1112	1203	5	3,1536.1013.4,49093.10−27	CARDINAL
m-1112	1203	6	1,41626.𝟏𝟎−𝟏𝟑 kcal	QUANTITY
m-1112	1203	7	1quadrillion years	DATE
m-1112	1203	8	1-kcal	QUANTITY
m-1112	1204	1	half	CARDINAL
m-1112	1204	2	1,4199223.1010	CARDINAL
m-1112	1204	3	s−1	NORP
m-1112	1204	4	zero	CARDINAL
m-1112	1205	1	6,62606957.10−34	CARDINAL
m-1112	1206	1	1,4199223.1010	CARDINAL
m-1112	1207	1	9,4085039.10−24	ORDINAL
m-1112	1207	2	1,6022.10−19	CARDINAL
m-1112	1207	3	5,8722405.10−6	CARDINAL
m-1112	1209	1	1	CARDINAL
m-1112	1210	1	moore	PERSON
m-1112	1210	2	1	CARDINAL
m-1112	1211	1	− 𝛔𝟐)²	ORG
m-1112	1212	1	±	CARDINAL
m-1112	1212	2	+ 4 τyz²	DATE
m-1112	1212	3	max	PERSON
m-1112	1212	4	2 + 4	DATE
m-1112	1212	5	τ ²	PERSON
m-1112	1213	1	2	CARDINAL
m-1112	1214	1	1	CARDINAL
m-1112	1215	1	− 𝛔𝟐)²	ORG
m-1112	1216	1	±	CARDINAL
m-1112	1216	2	2	CARDINAL
m-1112	1219	1	2	CARDINAL
m-1112	1219	2	bernoulli	PERSON
m-1112	1220	1	3	CARDINAL
m-1112	1221	1	ijo international journal of mathematics	ORG
m-1112	1221	2	2992-4421	DATE
m-1112	1221	3	08	CARDINAL
m-1112	1222	1	08	DATE
m-1112	1223	1	august 2025	DATE
m-1112	1223	2	45	CARDINAL
m-1112	1223	3	mfmf pns	LOC
m-1112	1224	1	1d	CARDINAL
m-1112	1225	1	87-89	CARDINAL
m-1112	1227	1	87	CARDINAL
m-1112	1227	2	𝐐𝐓	DATE
m-1112	1228	1	91	CARDINAL
m-1112	1228	2	three	CARDINAL
m-1112	1228	3	three	CARDINAL
m-1112	1228	4	⊕	GPE
m-1112	1228	5	3	CARDINAL
m-1112	1228	6	linear & rotational	ORG
m-1112	1228	7	91	CARDINAL
m-1112	1229	1	9a	CARDINAL
m-1112	1231	1	1	CARDINAL
m-1112	1231	2	9	CARDINAL
m-1112	1232	1	15	CARDINAL
m-1112	1233	1	22	CARDINAL
m-1112	1233	2	a𝐏𝐀 ↔	ORG
m-1112	1234	1	0	CARDINAL
m-1112	1236	1	greek	NORP
m-1112	1240	1	21-22	CARDINAL
m-1112	1243	1	2	CARDINAL
m-1112	1244	1	±	CARDINAL
m-1112	1245	1	w|λ|/2	ORG
m-1112	1246	1	25	CARDINAL
m-1112	1247	1	1	CARDINAL
m-1112	1247	2	0	CARDINAL
m-1112	1248	1	19	CARDINAL
m-1112	1250	1	3	CARDINAL
m-1112	1250	2	±	CARDINAL
m-1112	1252	1	0	CARDINAL
m-1112	1255	1	𝚽.𝛌	CARDINAL
m-1112	1255	2	ijo international journal of mathematics	ORG
m-1112	1255	3	2992-4421	DATE
m-1112	1255	4	08	CARDINAL
m-1112	1256	1	08	DATE
m-1112	1257	1	august 2025	DATE
m-1112	1257	2	46	DATE
m-1112	1257	3	mfmf pns	LOC
m-1112	1258	1	𝟐𝛑𝐫.𝛔	PERSON
m-1112	1260	1	𝟐𝛑𝐫	WORK_OF_ART
m-1112	1261	1	3.a	CARDINAL
m-1112	1262	1	e i.	PERSON
m-1112	1262	2	9.π	CARDINAL
m-1112	1267	1	0	CARDINAL
m-1112	1269	1	30	CARDINAL
m-1112	1270	1	3.b	CARDINAL
m-1112	1270	2	0|.𝐞−	CARDINAL
m-1112	1270	3	𝟏𝟎	CARDINAL
m-1112	1272	1	fig-1 3.c	LAW
m-1112	1274	1	e i.	PERSON
m-1112	1275	1	10	CARDINAL
m-1112	1275	2	n.r.t	ORG
m-1112	1275	3	4	CARDINAL
m-1112	1276	1	±	CARDINAL
m-1112	1281	1	±	CARDINAL
m-1112	1282	1	↔	ORG
m-1112	1287	1	±	CARDINAL
m-1112	1288	1	↔	ORG
m-1112	1290	1	fig -1 i.e.	ORG
m-1112	1290	2	↔	ORG
m-1112	1291	1	1	CARDINAL
m-1112	1291	2	0	CARDINAL
m-1112	1292	1	2	CARDINAL
m-1112	1292	2	0	CARDINAL
m-1112	1293	1	⊕	GPE
m-1112	1293	2	the next figure-11	DATE
m-1112	1294	1	ijo international journal of mathematics	ORG
m-1112	1294	2	2992-4421	DATE
m-1112	1294	3	08	CARDINAL
m-1112	1295	1	08	DATE
m-1112	1296	1	august 2025	DATE
m-1112	1297	1	47	DATE
m-1112	1297	2	mfmf pns	LOC
m-1112	1298	1	11	CARDINAL
m-1112	1298	2	⊕	GPE
m-1112	1298	3	1	CARDINAL
m-1112	1298	4	1	CARDINAL
m-1112	1299	1	σ ⊕	PERSON
m-1112	1300	1	2π	CARDINAL
m-1112	1301	1	2πr	ORDINAL
m-1112	1304	1	±	CARDINAL
m-1112	1304	2	1+ √5	QUANTITY
m-1112	1306	1	σ φ 2πr	PERSON
m-1112	1306	2	4πr	ORDINAL
m-1112	1307	1	2πr	ORDINAL
m-1112	1307	2	±	CARDINAL
m-1112	1307	3	two	CARDINAL
m-1112	1309	1	2	CARDINAL
m-1112	1310	1	𝜋 r4 2	PRODUCT
m-1112	1312	1	𝜋 r4 2	PRODUCT
m-1112	1312	2	2πf	ORDINAL
m-1112	1313	1	1+ √5	QUANTITY
m-1112	1313	2	4πr	CARDINAL
m-1112	1314	1	2πr	MONEY
m-1112	1314	2	zero	CARDINAL
m-1112	1315	1	70	CARDINAL
m-1112	1315	2	⊕	GPE
m-1112	1315	3	2π	CARDINAL
m-1112	1316	1	4πr	ORDINAL
m-1112	1318	1	1+ √5	QUANTITY
m-1112	1319	1	σ φ 2πr	PERSON
m-1112	1320	1	± σ	CARDINAL
m-1112	1320	2	two	CARDINAL
m-1112	1320	3	fp	ORG
m-1112	1320	4	centrifugal	ORG
m-1112	1320	5	one	CARDINAL
m-1112	1321	1	⊕	GPE
m-1112	1321	2	2	CARDINAL
m-1112	1321	3	2π	CARDINAL
m-1112	1322	1	4πr	ORDINAL
m-1112	1323	1	1+ √5	QUANTITY
m-1112	1324	1	σ 8πr	PERSON
m-1112	1325	1	4πr	ORDINAL
m-1112	1325	2	±	CARDINAL
m-1112	1325	3	two	CARDINAL
m-1112	1325	4	fp	ORG
m-1112	1325	5	centrifugal	ORG
m-1112	1327	1	1+ √5	QUANTITY
m-1112	1328	1	4πr	ORDINAL
m-1112	1328	2	one	CARDINAL
m-1112	1329	1	2	CARDINAL
m-1112	1329	2	90ᵒ	CARDINAL
m-1112	1329	3	ijo international journal of mathematics	ORG
m-1112	1329	4	2992-4421	DATE
m-1112	1329	5	08	CARDINAL
m-1112	1330	1	08	DATE
m-1112	1331	1	august 2025	DATE
m-1112	1331	2	48	DATE
m-1112	1331	3	mfmf pns	LOC
m-1112	1332	1	linear	ORG
m-1112	1333	1	70	CARDINAL
m-1112	1335	1	⊕	GPE
m-1112	1337	1	±	CARDINAL
m-1112	1339	1	𝐅𝐟	PERSON
m-1112	1340	1	r. mv	PERSON
m-1112	1341	1	r² w	PERSON
m-1112	1341	2	2πf	ORDINAL
m-1112	1342	1	2	CARDINAL
m-1112	1342	2	4	CARDINAL
m-1112	1343	1	2	CARDINAL
m-1112	1343	2	2π³𝐫⁴,f	CARDINAL
m-1112	1345	1	𝟒	PRODUCT
m-1112	1345	2	4	CARDINAL
m-1112	1345	3	8,992023.10−15 kg	QUANTITY
m-1112	1347	1	10−7	CARDINAL
m-1112	1347	2	±	CARDINAL
m-1112	1348	1	1,78118	CARDINAL
m-1112	1348	2	7	CARDINAL
m-1112	1348	3	2	CARDINAL
m-1112	1349	1	4π²	CARDINAL
m-1112	1351	1	²	CARDINAL
m-1112	1352	1	4π²	CARDINAL
m-1112	1357	1	m. v²e +	PERSON
m-1112	1358	1	m. v²e +	PERSON
m-1112	1359	1	²	CARDINAL
m-1112	1363	1	r. mv̅ = m. wλ²/4	PERSON
m-1112	1364	1	wavelength λ	PERSON
m-1112	1368	1	ijo international journal of mathematics	ORG
m-1112	1368	2	2992-4421	DATE
m-1112	1368	3	08	CARDINAL
m-1112	1369	1	08	DATE
m-1112	1370	1	august 2025	DATE
m-1112	1370	2	49	DATE
m-1112	1370	3	mfmf pns	LOC
m-1112	1371	1	a. sin(wt	PERSON
m-1112	1371	2	w.a .cos(wt-θ	PERSON
m-1112	1372	1	²dt	ORG
m-1112	1385	1	±	CARDINAL
m-1112	1387	1	1	CARDINAL
m-1112	1389	1	monad ab̅̅ ̅̅	WORK_OF_ART
m-1112	1394	1	three	CARDINAL
m-1112	1394	2	three	CARDINAL
m-1112	1395	1	25 26	CARDINAL
m-1112	1397	1	the spring	DATE
m-1112	1399	1	2	CARDINAL
m-1112	1399	2	1	CARDINAL
m-1112	1399	3	0	CARDINAL
m-1112	1399	4	3	CARDINAL
m-1112	1400	1	92	CARDINAL
m-1112	1400	2	two	CARDINAL
m-1112	1400	3	±	CARDINAL
m-1112	1400	4	two	CARDINAL
m-1112	1401	1	1+ √5	QUANTITY
m-1112	1402	1	4πr	ORDINAL
m-1112	1402	2	one	CARDINAL
m-1112	1403	1	1+ √5	QUANTITY
m-1112	1404	1	σ 8πr	PERSON
m-1112	1405	1	4πr	ORDINAL
m-1112	1406	1	10.a	CARDINAL
m-1112	1409	1	80	CARDINAL
m-1112	1409	2	ijo international journal of mathematics	ORG
m-1112	1409	3	2992-4421	DATE
m-1112	1409	4	08	CARDINAL
m-1112	1410	1	08	DATE
m-1112	1411	1	august 2025	DATE
m-1112	1411	2	50	CARDINAL
m-1112	1411	3	mfmf pns	LOC
m-1112	1412	1	12aan	CARDINAL
m-1112	1415	1	a3 , ak , ak+1	ORG
m-1112	1415	2	o	DATE
m-1112	1415	3	⏊	WORK_OF_ART
m-1112	1415	4	ok = h	ORG
m-1112	1416	1	a3 , ak , ak+1	ORG
m-1112	1418	1	ok = n	PERSON
m-1112	1420	1	80	CARDINAL
m-1112	1420	2	1	CARDINAL
m-1112	1422	1	polygon	ORG
m-1112	1423	1	8	CARDINAL
m-1112	1423	2	six	CARDINAL
m-1112	1424	1	3	CARDINAL
m-1112	1424	2	2	CARDINAL
m-1112	1424	3	9a 2	CARDINAL
m-1112	1424	4	𝐬𝐢𝐧	ORG
m-1112	1425	1	2992-4421	DATE
m-1112	1425	2	08	CARDINAL
m-1112	1426	1	08	DATE
m-1112	1427	1	august 2025	DATE
m-1112	1427	2	51	CARDINAL
m-1112	1427	3	mfmf pns	LOC
m-1112	1431	1	𝐅 𝟎	PRODUCT
m-1112	1434	1	𝟎 .e	DATE
m-1112	1435	1	spring	DATE
m-1112	1440	1	0	CARDINAL
m-1112	1446	1	1	CARDINAL
m-1112	1446	2	w ² = k 2	PRODUCT
m-1112	1446	3	2	DATE
m-1112	1446	4	8	DATE
m-1112	1446	5	4	DATE
m-1112	1446	6	2	CARDINAL
m-1112	1446	7	zero	CARDINAL
m-1112	1447	1	k 2	ORG
m-1112	1447	2	2	DATE
m-1112	1449	1	w ²	FAC
m-1112	1449	2	cw]2	ORG
m-1112	1449	3	w k−mw ²	PRODUCT
m-1112	1450	1	𝐰	ORG
m-1112	1450	2	2	CARDINAL
m-1112	1451	1	2𝜁	CARDINAL
m-1112	1452	1	2|	CARDINAL
m-1112	1452	2	2	CARDINAL
m-1112	1456	1	2π	CARDINAL
m-1112	1457	1	1 2π	CARDINAL
m-1112	1458	1	2m²	CARDINAL
m-1112	1459	1	1 2	CARDINAL
m-1112	1462	1	ijo international journal of mathematics	ORG
m-1112	1462	2	2992-4421	DATE
m-1112	1462	3	08	CARDINAL
m-1112	1463	1	08	DATE
m-1112	1464	1	august 2025	DATE
m-1112	1464	2	52	CARDINAL
m-1112	1464	3	mfmf pns	LOC
m-1112	1466	1	un	ORG
m-1112	1466	2	±	CARDINAL
m-1112	1467	1	1	CARDINAL
m-1112	1468	1	1	CARDINAL
m-1112	1468	2	m.w².x	ORG
m-1112	1469	1	spring	DATE
m-1112	1469	2	k x	PERSON
m-1112	1469	3	2	CARDINAL
m-1112	1470	1	1	CARDINAL
m-1112	1470	2	90 °	QUANTITY
m-1112	1470	3	mw²x	PERSON
m-1112	1470	4	the spring	DATE
m-1112	1470	5	k x	PERSON
m-1112	1472	1	𝟐𝛇	CARDINAL
m-1112	1473	1	3	CARDINAL
m-1112	1474	1	1	CARDINAL
m-1112	1474	2	φ	ORG
m-1112	1474	3	180 °	CARDINAL
m-1112	1474	4	mw²x	PERSON
m-1112	1478	1	12c	CARDINAL
m-1112	1480	1	96a	CARDINAL
m-1112	1480	2	0	CARDINAL
m-1112	1485	1	ijo international journal of mathematics	ORG
m-1112	1485	2	2992-4421	DATE
m-1112	1486	1	08	CARDINAL
m-1112	1487	1	08	DATE
m-1112	1488	1	august 2025	DATE
m-1112	1488	2	53	CARDINAL
m-1112	1488	3	mfmf pns	LOC
m-1112	1493	1	𝟎 .e	DATE
m-1112	1495	1	cẋ	ORG
m-1112	1495	2	k x	PERSON
m-1112	1495	3	polygon	ORG
m-1112	1496	1	polygon	ORG
m-1112	1497	1	2	CARDINAL
m-1112	1497	2	2 m2	QUANTITY
m-1112	1497	3	1 to zero	CARDINAL
m-1112	1497	4	two	CARDINAL
m-1112	1497	5	1	CARDINAL
m-1112	1497	6	2	CARDINAL
m-1112	1497	7	⏊	ORG
m-1112	1498	1	8	CARDINAL
m-1112	1500	1	six	CARDINAL
m-1112	1500	2	three	CARDINAL
m-1112	1500	3	2r	CARDINAL
m-1112	1501	1	pascal-desargues lines	ORG
m-1112	1501	2	1	CARDINAL
m-1112	1501	3	2	CARDINAL
m-1112	1501	4	1	CARDINAL
m-1112	1501	5	3-n degree	QUANTITY
m-1112	1501	6	2	CARDINAL
m-1112	1502	1	3	CARDINAL
m-1112	1502	2	three3	ORG
m-1112	1504	1	2s²=	ORG
m-1112	1504	2	3	CARDINAL
m-1112	1505	1	3	CARDINAL
m-1112	1506	1	3	CARDINAL
m-1112	1508	1	8	CARDINAL
m-1112	1508	2	atom`s &compounds	ORG
m-1112	1509	1	ijo international journal of mathematics	ORG
m-1112	1509	2	2992-4421	DATE
m-1112	1509	3	08	CARDINAL
m-1112	1510	1	08	DATE
m-1112	1511	1	august 2025	DATE
m-1112	1511	2	54	DATE
m-1112	1511	3	mfmf pns	LOC
m-1112	1512	1	1.b	CARDINAL
m-1112	1514	1	1	CARDINAL
m-1112	1514	2	two	CARDINAL
m-1112	1516	1	32	CARDINAL
m-1112	1516	2	2	CARDINAL
m-1112	1516	3	48	CARDINAL
m-1112	1516	4	3	CARDINAL
m-1112	1516	5	greek	NORP
m-1112	1516	6	50	CARDINAL
m-1112	1516	7	54	CARDINAL
m-1112	1516	8	39	CARDINAL
m-1112	1516	9	68	CARDINAL
m-1112	1517	1	any-two	CARDINAL
m-1112	1517	2	zero	CARDINAL
m-1112	1518	1	0	CARDINAL
m-1112	1519	1	± ∞	QUANTITY
m-1112	1519	2	52	CARDINAL
m-1112	1519	3	4	CARDINAL
m-1112	1520	1	1010	CARDINAL
m-1112	1523	1	5	CARDINAL
m-1112	1524	1	4	CARDINAL
m-1112	1524	2	only-one	CARDINAL
m-1112	1524	3	±	CARDINAL
m-1112	1525	1	6	CARDINAL
m-1112	1525	2	first	ORDINAL
m-1112	1525	3	4	CARDINAL
m-1112	1525	4	first	ORDINAL
m-1112	1525	5	two	CARDINAL
m-1112	1525	6	4	CARDINAL
m-1112	1525	7	2	CARDINAL
m-1112	1525	8	8	CARDINAL
m-1112	1526	1	7	CARDINAL
m-1112	1526	2	1-8	CARDINAL
m-1112	1526	3	14	CARDINAL
m-1112	1526	4	⊕ ↔	ORG
m-1112	1528	1	↔	ORG
m-1112	1529	1	1	CARDINAL
m-1112	1529	2	2	DATE
m-1112	1529	3	3	DATE
m-1112	1529	4	4	DATE
m-1112	1530	1	zero	CARDINAL
m-1112	1530	2	8	CARDINAL
m-1112	1531	1	four	CARDINAL
m-1112	1532	1	8	CARDINAL
m-1112	1532	2	110	CARDINAL
m-1112	1532	3	220	CARDINAL
m-1112	1532	4	the ijo international journal of mathematics	ORG
m-1112	1532	5	2992-4421	DATE
m-1112	1532	6	08	CARDINAL
m-1112	1533	1	08	DATE
m-1112	1534	1	august 2025	DATE
m-1112	1534	2	55	CARDINAL
m-1112	1534	3	mfmf pns	LOC
m-1112	1537	1	9	CARDINAL
m-1112	1538	1	10	CARDINAL
m-1112	1538	2	11	CARDINAL
m-1112	1538	3	110	CARDINAL
m-1112	1538	4	72	CARDINAL
m-1112	1538	5	three	CARDINAL
m-1112	1538	6	𝐋 𝐏	ORG
m-1112	1539	1	33	CARDINAL
m-1112	1539	2	un	ORG
m-1112	1539	3	±	CARDINAL
m-1112	1540	1	±	CARDINAL
m-1112	1542	1	±	CARDINAL
m-1112	1542	2	±	CARDINAL
m-1112	1543	1	±	CARDINAL
m-1112	1543	2	±	CARDINAL
m-1112	1543	3	±	CARDINAL
m-1112	1544	1	𝟐 	NORP
m-1112	1546	1	±	CARDINAL
m-1112	1546	2	±	CARDINAL
m-1112	1547	1	2	CARDINAL
m-1112	1548	1	dark energy de ≡	ORG
m-1112	1549	1	five	CARDINAL
m-1112	1549	2	±	CARDINAL
m-1112	1549	3	dm = dark	ORG
m-1112	1550	1	dm-de	ORG
m-1112	1553	1	ijo international journal of mathematics	ORG
m-1112	1553	2	2992-4421	DATE
m-1112	1553	3	08	CARDINAL
m-1112	1554	1	08	DATE
m-1112	1555	1	august 2025	DATE
m-1112	1555	2	56	CARDINAL
m-1112	1555	3	mfmf pns	LOC
m-1112	1556	1	kepler	PERSON
m-1112	1557	1	13	CARDINAL
m-1112	1558	1	ab	ORG
m-1112	1558	2	≡ quaternions	FAC
m-1112	1559	1	zero	CARDINAL
m-1112	1560	1	two	CARDINAL
m-1112	1560	2	two	CARDINAL
m-1112	1560	3	two	CARDINAL
m-1112	1560	4	one	CARDINAL
m-1112	1561	1	↔	ORG
m-1112	1562	1	3	CARDINAL
m-1112	1566	1	2πr	ORDINAL
m-1112	1569	1	±	CARDINAL
m-1112	1570	1	2πr	ORDINAL
m-1112	1572	1	2.b	CARDINAL
m-1112	1574	1	1	CARDINAL
m-1112	1574	2	two	CARDINAL
m-1112	1575	1	i. y1	PERSON
m-1112	1577	1	2992-4421	DATE
m-1112	1577	2	08	CARDINAL
m-1112	1578	1	08	DATE
m-1112	1579	1	august 2025	DATE
m-1112	1579	2	57	CARDINAL
m-1112	1579	3	mfmf pns	LOC
m-1112	1582	1	φ2	GPE
m-1112	1582	2	φ	ORG
m-1112	1583	1	x1 + i. y1	ORG
m-1112	1584	1	x2 + i. y2	ORG
m-1112	1587	1	+ φ2	GPE
m-1112	1589	1	+ φ2	GPE
m-1112	1592	1	euler`s	ORG
m-1112	1593	1	i. sin(wφ	PERSON
m-1112	1593	2	1	CARDINAL
m-1112	1593	3	1w	CARDINAL
m-1112	1594	1	cos.(wφ	PERSON
m-1112	1596	1	1	CARDINAL
m-1112	1596	2	first	ORDINAL
m-1112	1596	3	polygon	ORG
m-1112	1596	4	φ	ORG
m-1112	1600	1	360 +	CARDINAL
m-1112	1600	2	1+ 0.i	CARDINAL
m-1112	1600	3	1	CARDINAL
m-1112	1600	4	1	CARDINAL
m-1112	1600	5	1 as one	CARDINAL
m-1112	1600	6	𝐳−	TIME
m-1112	1602	1	3d	CARDINAL
m-1112	1602	2	±	CARDINAL
m-1112	1602	3	²	CARDINAL
m-1112	1602	4	1	CARDINAL
m-1112	1603	1	three	CARDINAL
m-1112	1603	2	𝐯𝟏	ORG
m-1112	1604	1	1 + 3	CARDINAL
m-1112	1604	2	4 degrees	QUANTITY
m-1112	1604	3	dx	ORG
m-1112	1605	1	2	CARDINAL
m-1112	1605	2	de moivre´s	PERSON
m-1112	1606	1	±	CARDINAL
m-1112	1606	2	x+y.i	GPE
m-1112	1606	3	first	ORDINAL
m-1112	1606	4	1	CARDINAL
m-1112	1606	5	1	CARDINAL
m-1112	1606	6	0	CARDINAL
m-1112	1606	7	2π	CARDINAL
m-1112	1607	1	y.i / 𝐓𝐲	ORG
m-1112	1609	1	±	CARDINAL
m-1112	1612	1	2π	CARDINAL
m-1112	1612	2	±	CARDINAL
m-1112	1612	3	1	CARDINAL
m-1112	1614	1	1	CARDINAL
m-1112	1617	1	𝟏.	CARDINAL
m-1112	1619	1	i.	PERSON
m-1112	1621	1	𝟏.	CARDINAL
m-1112	1622	1	𝝏𝟐	ORG
m-1112	1623	1	.y	GPE
m-1112	1623	2	ijo international journal of mathematics	ORG
m-1112	1623	3	2992-4421	DATE
m-1112	1623	4	08	CARDINAL
m-1112	1624	1	08	DATE
m-1112	1625	1	august 2025	DATE
m-1112	1625	2	58	DATE
m-1112	1625	3	mfmf pns	LOC
m-1112	1629	1	1	CARDINAL
m-1112	1629	2	±	CARDINAL
m-1112	1629	3	x+y.i	GPE
m-1112	1630	1	𝟐	CARDINAL
m-1112	1630	2	² + 𝐲	QUANTITY
m-1112	1630	3	² + 𝐲²𝟏 +	QUANTITY
m-1112	1632	1	y.i / 𝐓𝐲	ORG
m-1112	1634	1	±	CARDINAL
m-1112	1634	2	𝐲𝟐.𝐚𝟐	TIME
m-1112	1636	1	2a	CARDINAL
m-1112	1636	2	2b	CARDINAL
m-1112	1636	3	3	CARDINAL
m-1112	1637	1	non-linear	LOC
m-1112	1638	1	one	CARDINAL
m-1112	1638	2	6	CARDINAL
m-1112	1638	3	three	CARDINAL
m-1112	1638	4	⊕	GPE
m-1112	1639	1	93	CARDINAL
m-1112	1639	2	6,6262.10−34	CARDINAL
m-1112	1639	3	2	CARDINAL
m-1112	1639	4	176.10−18	CARDINAL
m-1112	1639	5	2	CARDINAL
m-1112	1640	1	1,6.10−19	CARDINAL
m-1112	1640	2	13,6	CARDINAL
m-1112	1641	1	13,6	CARDINAL
m-1112	1642	1	14	CARDINAL
m-1112	1645	1	²	CARDINAL
m-1112	1646	1	2.	CARDINAL
m-1112	1648	1	pythagoras theorem	PERSON
m-1112	1649	1	3b	CARDINAL
m-1112	1649	2	2n=1−4	CARDINAL
m-1112	1649	3	2	CARDINAL
m-1112	1649	4	4	DATE
m-1112	1649	5	8	DATE
m-1112	1649	6	16	CARDINAL
m-1112	1649	7	4	CARDINAL
m-1112	1649	8	the first	DATE
m-1112	1649	9	1	CARDINAL
m-1112	1649	10	ijo international journal of mathematics	ORG
m-1112	1649	11	2992-4421	DATE
m-1112	1650	1	08	CARDINAL
m-1112	1651	1	08	DATE
m-1112	1652	1	august 2025	DATE
m-1112	1652	2	59	CARDINAL
m-1112	1652	3	mfmf pns	LOC
m-1112	1653	1	2points	PRODUCT
m-1112	1653	2	3points	PRODUCT
m-1112	1653	3	4points	ORG
m-1112	1655	1	2 n	QUANTITY
m-1112	1655	2	3	CARDINAL
m-1112	1655	3	8	CARDINAL
m-1112	1656	1	4b	CARDINAL
m-1112	1658	1	101]-3c.p-21	DATE
m-1112	1661	1	b̅n	PERSON
m-1112	1663	1	0	CARDINAL
m-1112	1664	1	b̅n	PERSON
m-1112	1667	1	b̅n	PERSON
m-1112	1667	2	𝛑𝟐.𝐫⁴	PERSON
m-1112	1669	1	𝟐𝛑	CARDINAL
m-1112	1669	2	⁴ |	TIME
m-1112	1669	3	1	CARDINAL
m-1112	1669	4	1	CARDINAL
m-1112	1669	5	i. cx	PERSON
m-1112	1670	1	j. cy	PERSON
m-1112	1673	1	15	CARDINAL
m-1112	1674	1	ijo international journal of mathematics	ORG
m-1112	1674	2	2992-4421	DATE
m-1112	1674	3	08	CARDINAL
m-1112	1675	1	08	DATE
m-1112	1676	1	august 2025	DATE
m-1112	1676	2	60	CARDINAL
m-1112	1676	3	mfmf pns	LOC
m-1112	1677	1	cx	ORG
m-1112	1677	2	two	CARDINAL
m-1112	1677	3	⏊	DATE
m-1112	1678	1	t 1 2	DATE
m-1112	1678	2	1 2	CARDINAL
m-1112	1678	3	2/	CARDINAL
m-1112	1678	4	² 2	TIME
m-1112	1678	5	² 2	PRODUCT
m-1112	1678	6	90°	QUANTITY
m-1112	1680	1	sin²	ORG
m-1112	1680	2	1	CARDINAL
m-1112	1681	1	1	CARDINAL
m-1112	1681	2	0 -1	ORG
m-1112	1681	3	2	CARDINAL
m-1112	1682	1	4	CARDINAL
m-1112	1683	1	4	CARDINAL
m-1112	1684	1	λ / 4	ORG
m-1112	1685	1	90°	QUANTITY
m-1112	1685	2	2	CARDINAL
m-1112	1689	1	2	CARDINAL
m-1112	1690	1	2	CARDINAL
m-1112	1690	2	2𝑎	CARDINAL
m-1112	1690	3	2	CARDINAL
m-1112	1693	1	1	CARDINAL
m-1112	1693	2	2a	CARDINAL
m-1112	1693	3	90 °	TIME
m-1112	1693	4	45 °	TIME
m-1112	1693	5	45 °	TIME
m-1112	1694	1	two	CARDINAL
m-1112	1694	2	90°	QUANTITY
m-1112	1694	3	45	CARDINAL
m-1112	1695	1	two	CARDINAL
m-1112	1695	2	90°	QUANTITY
m-1112	1695	3	45°	TIME
m-1112	1696	1	0°	QUANTITY
m-1112	1697	1	0	CARDINAL
m-1112	1698	1	0	CARDINAL
m-1112	1698	2	⏊	DATE
m-1112	1698	3	1	CARDINAL
m-1112	1699	1	1-2	CARDINAL
m-1112	1699	2	2	CARDINAL
m-1112	1701	1	1	CARDINAL
m-1112	1701	2	⏊	PRODUCT
m-1112	1701	3	2	CARDINAL
m-1112	1702	1	2-3	CARDINAL
m-1112	1702	2	3	CARDINAL
m-1112	1704	1	2	CARDINAL
m-1112	1705	1	⏊	PRODUCT
m-1112	1705	2	3	CARDINAL
m-1112	1706	1	3-4	CARDINAL
m-1112	1706	2	3	CARDINAL
m-1112	1708	1	3	CARDINAL
m-1112	1708	2	⏊	PRODUCT
m-1112	1708	3	4	CARDINAL
m-1112	1709	1	2𝜋=	CARDINAL
m-1112	1709	2	2𝑎	CARDINAL
m-1112	1710	1	2(90	CARDINAL
m-1112	1711	1	1	CARDINAL
m-1112	1713	1	2	CARDINAL
m-1112	1715	1	2𝑎	CARDINAL
m-1112	1716	1	2	CARDINAL
m-1112	1716	2	2𝑎	CARDINAL
m-1112	1716	3	2𝑎	CARDINAL
m-1112	1716	4	2𝑎	CARDINAL
m-1112	1716	5	1a	CARDINAL
m-1112	1716	6	ijo international journal of mathematics	ORG
m-1112	1716	7	2992-4421	DATE
m-1112	1717	1	08	CARDINAL
m-1112	1718	1	08	DATE
m-1112	1719	1	august 2025	DATE
m-1112	1719	2	61	CARDINAL
m-1112	1719	3	mfmf pns	LOC
m-1112	1721	1	b̅n	PERSON
m-1112	1723	1	0	CARDINAL
m-1112	1724	1	b̅n	PERSON
m-1112	1727	1	b̅n	PERSON
m-1112	1728	1	𝛑𝟐.𝐫⁴	PERSON
m-1112	1730	1	𝟐 𝛑.𝐟	FAC
m-1112	1731	1	𝟐 .𝐟	MONEY
m-1112	1731	2	2 v |=	QUANTITY
m-1112	1731	3	3π	CARDINAL
m-1112	1732	1	n.[π/2	GPE
m-1112	1732	2	2r	CARDINAL
m-1112	1733	1	two	CARDINAL
m-1112	1733	2	0	CARDINAL
m-1112	1734	1	⁴.	CARDINAL
m-1112	1734	2	2r	CARDINAL
m-1112	1736	1	2π.𝐟𝟏	CARDINAL
m-1112	1736	2	16.𝑟²	CARDINAL
m-1112	1738	1	b̅n	PERSON
m-1112	1738	2	1	CARDINAL
m-1112	1738	3	1a	CARDINAL
m-1112	1738	4	two	CARDINAL
m-1112	1738	5	92	CARDINAL
m-1112	1739	1	two	CARDINAL
m-1112	1740	1	2	CARDINAL
m-1112	1741	1	2	CARDINAL
m-1112	1741	2	φ	ORG
m-1112	1741	3	two	CARDINAL
m-1112	1742	1	two	CARDINAL
m-1112	1743	1	2.t	CARDINAL
m-1112	1743	2	2c.sin(φ	CARDINAL
m-1112	1744	1	2	CARDINAL
m-1112	1745	1	2c.sin(φ	CARDINAL
m-1112	1746	1	2.𝑐²	CARDINAL
m-1112	1747	1	²	CARDINAL
m-1112	1749	1	φ	ORG
m-1112	1749	2	3	CARDINAL
m-1112	1750	1	2φ	CARDINAL
m-1112	1751	1	𝜋 2 − φ	LAW
m-1112	1751	2	ijo international journal of mathematics	ORG
m-1112	1751	3	2992-4421	DATE
m-1112	1751	4	08	CARDINAL
m-1112	1752	1	08	DATE
m-1112	1753	1	august 2025	DATE
m-1112	1753	2	62	CARDINAL
m-1112	1753	3	mfmf pns	LOC
m-1112	1755	1	− 𝟐𝛗	PERSON
m-1112	1757	1	𝐬𝐢𝐧	PERSON
m-1112	1757	2	ab ≡	ORG
m-1112	1758	1	two	CARDINAL
m-1112	1758	2	↔	ORG
m-1112	1759	1	⏊	PRODUCT
m-1112	1762	1	1	CARDINAL
m-1112	1762	2	2	CARDINAL
m-1112	1762	3	3	CARDINAL
m-1112	1762	4	4	CARDINAL
m-1112	1762	5	5	CARDINAL
m-1112	1762	6	6	CARDINAL
m-1112	1762	7	⏊	ORG
m-1112	1762	8	7	CARDINAL
m-1112	1764	1	8	CARDINAL
m-1112	1764	2	two	CARDINAL
m-1112	1765	1	1c	CARDINAL
m-1112	1766	1	78-79	CARDINAL
m-1112	1766	2	16	CARDINAL
m-1112	1767	1	two	CARDINAL
m-1112	1769	1	2992-4421	DATE
m-1112	1770	1	08	CARDINAL
m-1112	1771	1	08	DATE
m-1112	1772	1	august 2025	DATE
m-1112	1772	2	63	CARDINAL
m-1112	1772	3	mfmf pns	LOC
m-1112	1773	1	three	CARDINAL
m-1112	1779	1	newton	ORG
m-1112	1779	2	two	CARDINAL
m-1112	1779	3	89	CARDINAL
m-1112	1780	1	g kick-start	PERSON
m-1112	1780	2	2π	CARDINAL
m-1112	1780	3	³ 2	ORG
m-1112	1781	1	first	ORDINAL
m-1112	1781	2	1	CARDINAL
m-1112	1781	3	²𝐧	CARDINAL
m-1112	1783	1	²𝐧	CARDINAL
m-1112	1784	1	79	CARDINAL
m-1112	1785	1	1	CARDINAL
m-1112	1786	1	one	CARDINAL
m-1112	1786	2	two	CARDINAL
m-1112	1788	1	two	CARDINAL
m-1112	1788	2	⊕	GPE
m-1112	1792	1	2,1145016	TIME
m-1112	1792	2	3,04513.10−16	CARDINAL
m-1112	1792	3	1	CARDINAL
m-1112	1792	4	2,1145016.10−16	CARDINAL
m-1112	1793	1	3,28393	CARDINAL
m-1112	1793	2	1015	CARDINAL
m-1112	1793	3	3,96	CARDINAL
m-1112	1794	1	10−32 m³	QUANTITY
m-1112	1795	1	6,6262.10−34	CARDINAL
m-1112	1795	2	2992-4421	DATE
m-1112	1795	3	08	CARDINAL
m-1112	1796	1	08	DATE
m-1112	1797	1	august 2025	DATE
m-1112	1797	2	64	CARDINAL
m-1112	1797	3	mfmf pns	LOC
m-1112	1798	1	2	CARDINAL
m-1112	1798	2	176.10−18	CARDINAL
m-1112	1798	3	2	CARDINAL
m-1112	1799	1	1,6.10−19	CARDINAL
m-1112	1799	2	13,6	CARDINAL
m-1112	1800	1	13,6	CARDINAL
m-1112	1803	1	3	CARDINAL
m-1112	1803	2	2,1145016.10−16	CARDINAL
m-1112	1807	1	[ gl kl ] = g .k	PERSON
m-1112	1809	1	[ gl kl ]	PERSON
m-1112	1809	2	first	ORDINAL
m-1112	1809	3	1	CARDINAL
m-1112	1809	4	13,6	CARDINAL
m-1112	1809	5	k e	PERSON
m-1112	1809	6	first	ORDINAL
m-1112	1809	7	1	CARDINAL
m-1112	1810	1	9, 8076941	DATE
m-1112	1812	1	72	CARDINAL
m-1112	1812	2	𝐁𝐑	ORG
m-1112	1814	1	kr	PERSON
m-1112	1814	2	 σ	PERSON
m-1112	1815	1	1	CARDINAL
m-1112	1820	1	8	CARDINAL
m-1112	1820	2	9.109	CARDINAL
m-1112	1820	3	zero	CARDINAL
m-1112	1821	1	zero	CARDINAL
m-1112	1821	2	g.𝐤𝐑	CARDINAL
m-1112	1821	3	𝐅𝐨𝐫𝐜𝐞 𝐀𝐫𝐞𝐚	PERSON
m-1112	1821	4	𝐠.𝐌𝐚𝐬𝐬 𝐀𝐫𝐞𝐚	PERSON
m-1112	1821	5	5,9723.1024 kg	QUANTITY
m-1112	1821	6	6378,137 km	QUANTITY
m-1112	1822	1	6,378.106	CARDINAL
m-1112	1824	1	6,378.106]² 5,98.1024	CARDINAL
m-1112	1824	2	9,8076941	CARDINAL
m-1112	1825	1	6	CARDINAL
m-1112	1825	2	68056.𝟏𝟎−𝟏𝟏	CARDINAL
m-1112	1826	1	first	ORDINAL
m-1112	1826	2	ijo international journal of mathematics	ORG
m-1112	1826	3	2992-4421	DATE
m-1112	1827	1	08	CARDINAL
m-1112	1828	1	08	DATE
m-1112	1829	1	august 2025	DATE
m-1112	1829	2	65	CARDINAL
m-1112	1829	3	mfmf pns	LOC
m-1112	1830	1	13,6	CARDINAL
m-1112	1832	1	2l=	CARDINAL
m-1112	1832	2	2e	CARDINAL
m-1112	1832	3	2.(0,5.m.c²	TIME
m-1112	1832	4	m.c²	CARDINAL
m-1112	1832	5	0,5.π.𝑟4.𝑐2/4	CARDINAL
m-1112	1832	6	4	CARDINAL
m-1112	1833	1	𝐜𝟐. 𝐫𝟒	DATE
m-1112	1833	2	≡ n.(1+√5	ORG
m-1112	1833	3	2.𝜋.𝑟	CARDINAL
m-1112	1834	1	𝐜𝟐. 𝐫𝟒 / 4.	CARDINAL
m-1112	1834	2	𝐁 𝐏	ORG
m-1112	1838	1	 σ	PERSON
m-1112	1838	2	≅ ±	CARDINAL
m-1112	1838	3	g k	PERSON
m-1112	1838	4	1	CARDINAL
m-1112	1840	1	[ gl kl ] ≡ 9,808238* 6,8116.10−12	PERSON
m-1112	1840	2	6,68056.10−11	CARDINAL
m-1112	1841	1	[gl kl ]	PERSON
m-1112	1841	2	quanta of gravitation	ORG
m-1112	1841	3	≅ ± 𝜎	DATE
m-1112	1842	1	m.m md² =	PERSON
m-1112	1845	1	ke	PERSON
m-1112	1848	1	9	CARDINAL
m-1112	1848	2	two	CARDINAL
m-1112	1849	1	6,68056.𝟏𝟎−𝟏𝟏 m3/ n.s²	QUANTITY
m-1112	1849	2	1	CARDINAL
m-1112	1849	3	= c. r³. 𝐟𝐏² → fp	PERSON
m-1112	1850	1	c. r³	PERSON
m-1112	1850	2	1	CARDINAL
m-1112	1852	1	77	CARDINAL
m-1112	1852	2	1	CARDINAL
m-1112	1853	1	5,9723.1024 kg	QUANTITY
m-1112	1853	2	6378,137 km	QUANTITY
m-1112	1855	1	6,378.106	CARDINAL
m-1112	1856	1	6,378.106]² 5,9723.1024	CARDINAL
m-1112	1857	1	9,8076941* 6,8115518.10−12	CARDINAL
m-1112	1857	2	6,6805616*𝟏𝟎−𝟏𝟏	CARDINAL
m-1112	1858	1	6,6805616.10−11 m3	QUANTITY
m-1112	1859	1	4,0.10 52 kg	QUANTITY
m-1112	1859	2	ijo international journal of mathematics	ORG
m-1112	1859	3	2992-4421	DATE
m-1112	1859	4	08	CARDINAL
m-1112	1860	1	08	DATE
m-1112	1861	1	august 2025	DATE
m-1112	1861	2	66	CARDINAL
m-1112	1861	3	mfmf pns	LOC
m-1112	1862	1	3,08.1025	CARDINAL
m-1112	1863	1	3,08.1025]²	CARDINAL
m-1112	1865	1	2,3716.10−2 𝐠𝐁𝐇	CARDINAL
m-1112	1865	2	= k e k	PERSON
m-1112	1865	3	6,81155.10−12	CARDINAL
m-1112	1865	4	2	CARDINAL
m-1112	1865	5	872.10−10	DATE
m-1112	1866	1	ge → i.e.	ORG
m-1112	1866	2	6,81155.10−12	DATE
m-1112	1866	3	2,3716.10−2 m2/kg	QUANTITY
m-1112	1866	4	2,872.10−10	CARDINAL
m-1112	1867	1	ge	ORG
m-1112	1871	1	2,872.10−10	CARDINAL
m-1112	1871	2	6,6805616*𝟏𝟎−𝟏𝟏	CARDINAL
m-1112	1872	1	newton	GPE
m-1112	1872	2	𝐅𝐠𝐫𝐚𝐯	PERSON
m-1112	1872	3	𝐌.𝐦	CARDINAL
m-1112	1873	1	= 𝐠.	PERSON
m-1112	1875	1	= 𝐠.[	PERSON
m-1112	1878	1	9,807694	CARDINAL
m-1112	1878	2	two	CARDINAL
m-1112	1878	3	²𝐄	ORG
m-1112	1878	4	𝐁	ORG
m-1112	1878	5	²𝐁	ORG
m-1112	1878	6	𝐁	ORG
m-1112	1879	1	𝐅𝐞𝐥𝐞𝐜𝐭𝐫𝐨𝐧 = 𝐤𝐜	PERSON
m-1112	1881	1	9.𝟏𝟎𝟗	CARDINAL
m-1112	1881	2	3	CARDINAL
m-1112	1881	3	𝐅𝐞𝐥𝐞𝐜𝐭𝐫𝐨𝐧	PERSON
m-1112	1883	1	4	CARDINAL
m-1112	1886	1	two	CARDINAL
m-1112	1886	2	two	CARDINAL
m-1112	1887	1	70	CARDINAL
m-1112	1887	2	⃗	ORG
m-1112	1887	3	2l	CARDINAL
m-1112	1888	1	first	ORDINAL
m-1112	1889	1	= 𝛔.(𝟏+√𝟓	ORG
m-1112	1890	1	75	CARDINAL
m-1112	1892	1	𝟖 𝐫²	DATE
m-1112	1893	1	ijo international journal of mathematics	ORG
m-1112	1893	2	2992-4421	DATE
m-1112	1894	1	08	CARDINAL
m-1112	1895	1	08	DATE
m-1112	1896	1	august 2025	DATE
m-1112	1896	2	67	CARDINAL
m-1112	1896	3	mfmf pns	LOC
m-1112	1897	1	𝟖	CARDINAL
m-1112	1897	2	²	CARDINAL
m-1112	1898	1	1+√5 2	CARDINAL
m-1112	1898	2	𝟐𝛑𝐫	NORP
m-1112	1898	3	8 r ²	QUANTITY
m-1112	1898	4	1+√5 2	CARDINAL
m-1112	1898	5	1+√5 2	CARDINAL
m-1112	1898	6	φ	ORG
m-1112	1898	7	1	CARDINAL
m-1112	1898	8	first	ORDINAL
m-1112	1899	1	2l	CARDINAL
m-1112	1901	1	≡ h. 𝐟𝐧 ← i.e.	ORG
m-1112	1901	2	φ	ORG
m-1112	1902	1	75	CARDINAL
m-1112	1902	2	34	CARDINAL
m-1112	1903	1	zero	CARDINAL
m-1112	1904	1	zero	CARDINAL
m-1112	1908	1	𝐅𝐨𝐫𝐜𝐞 𝐀𝐫𝐞𝐚	PERSON
m-1112	1908	2	𝐌𝐚𝐬𝐬 𝐀𝐫𝐞𝐚	PERSON
m-1112	1908	3	page-33	DATE
m-1112	1908	4	77	CARDINAL
m-1112	1909	1	6,378.106]² 5,98.1024	CARDINAL
m-1112	1909	2	9,8076941	CARDINAL
m-1112	1910	1	6,68056.𝟏𝟎−𝟏𝟏 m3	QUANTITY
m-1112	1910	2	9,8076941.6,8116.10−12= 6,68056.𝟏𝟎−𝟏𝟏 m3/ n.s²	QUANTITY
m-1112	1910	3	1= c. r³. 𝐟𝐏²	LOC
m-1112	1911	1	1	CARDINAL
m-1112	1911	2	²	CARDINAL
m-1112	1912	1	zero	CARDINAL
m-1112	1912	2	71	CARDINAL
m-1112	1913	1	1	CARDINAL
m-1112	1914	1	2	CARDINAL
m-1112	1914	2	3	CARDINAL
m-1112	1914	3	4	CARDINAL
m-1112	1914	4	e⊥b⊥r	CARDINAL
m-1112	1915	1	5	CARDINAL
m-1112	1915	2	6	CARDINAL
m-1112	1915	3	7	CARDINAL
m-1112	1915	4	one	CARDINAL
m-1112	1916	1	w̅ij	GPE
m-1112	1917	1	r̅ij ijo international journal of mathematics	ORG
m-1112	1917	2	2992-4421	DATE
m-1112	1917	3	08	CARDINAL
m-1112	1918	1	08	DATE
m-1112	1919	1	august 2025	DATE
m-1112	1919	2	68	CARDINAL
m-1112	1919	3	mfmf pns	LOC
m-1112	1921	1	f2	ORG
m-1112	1922	1	⊕ ↔	ORG
m-1112	1922	2	1+√5)σ	CARDINAL
m-1112	1922	3	n.σ.b̅ 8 r² →	ORG
m-1112	1923	1	9	CARDINAL
m-1112	1923	2	3.108	CARDINAL
m-1112	1923	3	3.10−34	CARDINAL
m-1112	1924	1	4π²	CARDINAL
m-1112	1927	1	kepler`s	ORG
m-1112	1928	1	2	CARDINAL
m-1112	1928	2	3	CARDINAL
m-1112	1928	3	σ1²	PERSON
m-1112	1928	4	σ3²	CARDINAL
m-1112	1928	5	1	CARDINAL
m-1112	1929	1	1	CARDINAL
m-1112	1930	1	f2	ORG
m-1112	1930	2	1+√5)σ	CARDINAL
m-1112	1930	3	8	CARDINAL
m-1112	1930	4	σ	ORG
m-1112	1931	1	70	CARDINAL
m-1112	1931	2	⊕	GPE
m-1112	1933	1	1	CARDINAL
m-1112	1933	2	1	CARDINAL
m-1112	1934	1	≡ σ1	ORG
m-1112	1934	2	⊥ σ2	PRODUCT
m-1112	1935	1	two	CARDINAL
m-1112	1935	2	two	CARDINAL
m-1112	1935	3	≡ σ1	ORG
m-1112	1935	4	⊥ σ2	PRODUCT
m-1112	1936	1	2π/t).r	DATE
m-1112	1936	2	2π.f1	CARDINAL
m-1112	1936	3	ijo international journal of mathematics	ORG
m-1112	1936	4	2992-4421	DATE
m-1112	1936	5	08	CARDINAL
m-1112	1937	1	08	DATE
m-1112	1938	1	august 2025	DATE
m-1112	1938	2	69	CARDINAL
m-1112	1938	3	mfmf pns	LOC
m-1112	1940	1	1	CARDINAL
m-1112	1940	2	2π.f	CARDINAL
m-1112	1940	3	4	CARDINAL
m-1112	1940	4	n.π ,times	ORG
m-1112	1940	5	more than three	CARDINAL
m-1112	1942	1	three	CARDINAL
m-1112	1942	2	4	CARDINAL
m-1112	1942	3	2c	CARDINAL
m-1112	1942	4	9,0.109 n.m²/c²	PERSON
m-1112	1943	1	newton	ORG
m-1112	1943	2	m1, m2	PRODUCT
m-1112	1944	1	1	CARDINAL
m-1112	1944	2	2.g	CARDINAL
m-1112	1944	3	²	CARDINAL
m-1112	1945	1	𝐅𝐍	FAC
m-1112	1945	2	newton	GPE
m-1112	1946	1	two	CARDINAL
m-1112	1947	1	ge	ORG
m-1112	1947	2	²	CARDINAL
m-1112	1949	1	1	CARDINAL
m-1112	1949	2	1	CARDINAL
m-1112	1949	3	two	CARDINAL
m-1112	1949	4	3c	CARDINAL
m-1112	1949	5	9, 8076941	CARDINAL
m-1112	1951	1	1)-[87	CARDINAL
m-1112	1951	2	³	ORG
m-1112	1951	3	σ ²	QUANTITY
m-1112	1951	4	σ	ORG
m-1112	1952	1	2πf	ORDINAL
m-1112	1954	1	𝐋𝐏	NORP
m-1112	1955	1	|φ	PERSON
m-1112	1955	2	𝚽³	CARDINAL
m-1112	1955	3	𝟐.𝐆	DATE
m-1112	1957	1	g φ	PERSON
m-1112	1957	2	φ	ORG
m-1112	1959	1	2	CARDINAL
m-1112	1959	2	24	CARDINAL
m-1112	1959	3	1	CARDINAL
m-1112	1960	1	+ 1 , 1	DATE
m-1112	1961	1	2	CARDINAL
m-1112	1961	2	4	CARDINAL
m-1112	1966	1	ijo international journal of mathematics	ORG
m-1112	1966	2	2992-4421	DATE
m-1112	1966	3	08	CARDINAL
m-1112	1967	1	08	DATE
m-1112	1968	1	august 2025	DATE
m-1112	1968	2	70	CARDINAL
m-1112	1968	3	mfmf pns	LOC
m-1112	1969	1	𝐌𝐨𝐮𝐥𝐝 𝐄𝐥𝐞𝐦𝐞𝐧𝐭𝐬	ORG
m-1112	1970	1	10	CARDINAL
m-1112	1970	2	1010	CARDINAL
m-1112	1970	3	two	CARDINAL
m-1112	1970	4	⊕	GPE
m-1112	1970	5	10[10]²	CARDINAL
m-1112	1970	6	1020	CARDINAL
m-1112	1970	7	10−x	DATE
m-1112	1970	8	1 10x	CARDINAL
m-1112	1970	9	10−20	DATE
m-1112	1970	10	0,707106781.10−20	CARDINAL
m-1112	1971	1	1	CARDINAL
m-1112	1972	1	0, 0707106781	CARDINAL
m-1112	1973	1	10	CARDINAL
m-1112	1973	2	1, 0707106781	DATE
m-1112	1973	3	1, 0707106781	CARDINAL
m-1112	1973	4	3.601588 m2	QUANTITY
m-1112	1973	5	3.601588	MONEY
m-1112	1978	1	2.99819938 .𝟏𝟎𝟖 m/s i.e.	MONEY
m-1112	1978	2	≡ qua ≡	ORG
m-1112	1979	1	49	CARDINAL
m-1112	1980	1	83	CARDINAL
m-1112	1980	2	three	CARDINAL
m-1112	1981	1	0	DATE
m-1112	1982	1	two	CARDINAL
m-1112	1982	2	2	CARDINAL
m-1112	1982	3	2	CARDINAL
m-1112	1984	1	three	CARDINAL
m-1112	1984	2	1 3	CARDINAL
m-1112	1984	3	3.(3-1).(3-2	DATE
m-1112	1984	4	6	CARDINAL
m-1112	1984	5	three	CARDINAL
m-1112	1984	6	1 3	CARDINAL
m-1112	1984	7	3.(3-1).(3-2	DATE
m-1112	1984	8	6	CARDINAL
m-1112	1984	9	3	CARDINAL
m-1112	1985	1	3	CARDINAL
m-1112	1985	2	6	CARDINAL
m-1112	1985	3	6	CARDINAL
m-1112	1985	4	36	CARDINAL
m-1112	1986	1	10	CARDINAL
m-1112	1986	2	1010	CARDINAL
m-1112	1986	3	two	CARDINAL
m-1112	1986	4	⊕	GPE
m-1112	1987	1	10	CARDINAL
m-1112	1987	2	10	CARDINAL
m-1112	1987	3	1020	CARDINAL
m-1112	1987	4	10−x	CARDINAL
m-1112	1987	5	1 10x	CARDINAL
m-1112	1987	6	36.10−20	CARDINAL
m-1112	1988	1	g φ	PERSON
m-1112	1988	2	6,673692	CARDINAL
m-1112	1988	3	36	CARDINAL
m-1112	1988	4	−20	PERSON
m-1112	1989	1	2.9795163	CARDINAL
m-1112	1989	2	108	CARDINAL
m-1112	1992	1	two	CARDINAL
m-1112	1992	2	2πrf	CARDINAL
m-1112	1992	3	φ	ORG
m-1112	1992	4	𝚽. ijo international journal of mathematics	ORG
m-1112	1992	5	2992-4421	DATE
m-1112	1992	6	08	CARDINAL
m-1112	1993	1	08	DATE
m-1112	1994	1	august 2025	DATE
m-1112	1994	2	71	CARDINAL
m-1112	1994	3	mfmf pns	LOC
m-1112	1995	1	first	ORDINAL
m-1112	1996	1	one	CARDINAL
m-1112	2000	1	2π / t).r	DATE
m-1112	2000	2	2π.f1	CARDINAL
m-1112	2001	1	f1	PERSON
m-1112	2001	2	2π.f1	CARDINAL
m-1112	2002	1	2f1	CARDINAL
m-1112	2004	1	n.π times	ORG
m-1112	2006	1	42	CARDINAL
m-1112	2007	1	1.m 2/	CARDINAL
m-1112	2009	1	macrocosm	GPE
m-1112	2011	1	10−62	CARDINAL
m-1112	2011	2	w	GPE
m-1112	2014	1	1,574.10−19	CARDINAL
m-1112	2015	1	coulomb`s	GPE
m-1112	2016	1	5π/2	CARDINAL
m-1112	2018	1	72	CARDINAL
m-1112	2020	1	2l	CARDINAL
m-1112	2021	1	2l	CARDINAL
m-1112	2023	1	2l	CARDINAL
m-1112	2024	1	1	CARDINAL
m-1112	2024	2	2π	CARDINAL
m-1112	2026	1	70	CARDINAL
m-1112	2027	1	ijo international journal of mathematics	ORG
m-1112	2027	2	2992-4421	DATE
m-1112	2027	3	08	CARDINAL
m-1112	2028	1	08	DATE
m-1112	2029	1	august 2025	DATE
m-1112	2029	2	72	DATE
m-1112	2029	3	mfmf pns	LOC
m-1112	2030	1	four	CARDINAL
m-1112	2030	2	99	CARDINAL
m-1112	2031	1	2	CARDINAL
m-1112	2031	2	.(5π/2	GPE
m-1112	2032	1	1,616199.10−35	CARDINAL
m-1112	2033	1	9, 8076941	CARDINAL
m-1112	2033	2	fg	ORG
m-1112	2034	1	g. ke ≡	PERSON
m-1112	2035	1	6,68056.𝟏𝟎−𝟏𝟏	CARDINAL
m-1112	2037	1	1+√5)σ	CARDINAL
m-1112	2037	2	2	CARDINAL
m-1112	2038	1	4𝜋.r	CARDINAL
m-1112	2038	2	4	CARDINAL
m-1112	2038	3	φ	ORG
m-1112	2041	1	g φ	PERSON
m-1112	2041	2	6,673692	CARDINAL
m-1112	2041	3	36	CARDINAL
m-1112	2041	4	−20	PERSON
m-1112	2043	1	2.9985163	CARDINAL
m-1112	2043	2	108	CARDINAL
m-1112	2044	1	4c	CARDINAL
m-1112	2044	2	relation g ≡ g.ke ≡	ORG
m-1112	2047	1	g k	PERSON
m-1112	2047	2	1	CARDINAL
m-1112	2050	1	sinwnt	PERSON
m-1112	2050	2	+ x(0).coswnt	DATE
m-1112	2051	1	one	CARDINAL
m-1112	2051	2	𝟐𝛑	CARDINAL
m-1112	2051	3	1 2𝜋 √ k m	TIME
m-1112	2051	4	4	CARDINAL
m-1112	2053	1	= k =	PERSON
m-1112	2055	1	2,176.10−16 joule	QUANTITY
m-1112	2056	1	6,6262.10−34	CARDINAL
m-1112	2056	2	3	CARDINAL
m-1112	2056	3	4	CARDINAL
m-1112	2057	1	²	CARDINAL
m-1112	2057	2	7 , 2373149	DATE
m-1112	2058	1	4b	CARDINAL
m-1112	2060	1	3	CARDINAL
m-1112	2060	2	2	CARDINAL
m-1112	2060	3	3762992.𝟏𝟎−𝟏𝟔	CARDINAL
m-1112	2060	4	4c	CARDINAL
m-1112	2060	5	4π²f²e	CARDINAL
m-1112	2062	1	compton	PERSON
m-1112	2063	1	𝐟	PERSON
m-1112	2063	2	ijo international journal of mathematics	ORG
m-1112	2063	3	2992-4421	DATE
m-1112	2063	4	08	CARDINAL
m-1112	2064	1	08	DATE
m-1112	2065	1	august 2025	DATE
m-1112	2065	2	73	CARDINAL
m-1112	2065	3	mfmf pns	LOC
m-1112	2067	1	𝐟𝐞= 3,283998.1016	DATE
m-1112	2070	1	second	ORDINAL
m-1112	2071	1	𝐋𝐏	ORG
m-1112	2072	1	1	CARDINAL
m-1112	2072	2	² 8πf	DATE
m-1112	2072	3	≡ vp ≡ c	ORG
m-1112	2073	1	1	CARDINAL
m-1112	2073	2	two	CARDINAL
m-1112	2073	3	1 2π √	TIME
m-1112	2074	1	2	DATE
m-1112	2074	2	² 3	DATE
m-1112	2075	1	1	CARDINAL
m-1112	2075	2	2	CARDINAL
m-1112	2076	1	³ 2	ORG
m-1112	2076	2	1,8133418.10−3	CARDINAL
m-1112	2076	3	3,3010625.𝟏𝟎−𝟏𝟓	CARDINAL
m-1112	2076	4	1,41429.[2,9979346.10 8	DATE
m-1112	2076	5	coulomb`s	GPE
m-1112	2076	6	g ≡	ORG
m-1112	2080	1	6,8116.10−12	CARDINAL
m-1112	2080	2	6,68056.10−11	CARDINAL
m-1112	2083	1	𝟐𝛑𝐫	NORP
m-1112	2085	1	𝟐𝛑𝐫	NORP
m-1112	2089	1	two	CARDINAL
m-1112	2092	1	→{w≡em	ORG
m-1112	2093	1	2.λc.sin.2φ	CARDINAL
m-1112	2095	1	87-89	CARDINAL
m-1112	2095	2	5c	CARDINAL
m-1112	2096	1	99	CARDINAL
m-1112	2096	2	kepler third law	ORG
m-1112	2097	1	w	NORP
m-1112	2098	1	𝟐𝛑	CARDINAL
m-1112	2100	1	³ 𝐓²	PRODUCT
m-1112	2100	2	4π²	CARDINAL
m-1112	2101	1	4π².r³.𝐟²𝐩	CARDINAL
m-1112	2101	2	2992-4421	DATE
m-1112	2102	1	08	CARDINAL
m-1112	2103	1	08	DATE
m-1112	2104	1	august 2025	DATE
m-1112	2104	2	74	CARDINAL
m-1112	2104	3	mfmf pns	LOC
m-1112	2105	1	²p	PRODUCT
m-1112	2106	1	+ w	PERSON
m-1112	2106	2	1	CARDINAL
m-1112	2106	3	𝐖𝐮	PERSON
m-1112	2106	4	1	CARDINAL
m-1112	2106	5	²	CARDINAL
m-1112	2106	6	3	CARDINAL
m-1112	2106	7	²	CARDINAL
m-1112	2107	1	2	CARDINAL
m-1112	2107	2	1145016.10−11	CARDINAL
m-1112	2107	3	9	CARDINAL
m-1112	2108	1	3,04513.10−16	CARDINAL
m-1112	2109	1	6.62607.10−34	CARDINAL
m-1112	2110	1	3,2839982.1015	CARDINAL
m-1112	2110	2	2,175999	CARDINAL
m-1112	2111	1	10−18	DATE
m-1112	2112	1	13,59999	CARDINAL
m-1112	2112	2	13,6	CARDINAL
m-1112	2113	1	𝟐	NORP
m-1112	2114	1	+ 2el2	MONEY
m-1112	2117	1	4π²	CARDINAL
m-1112	2117	2	gm	ORG
m-1112	2118	1	newton	GPE
m-1112	2118	2	gm	ORG
m-1112	2118	3	2	CARDINAL
m-1112	2119	1	gmm²	ORG
m-1112	2120	1	g mm = 2a.e	PERSON
m-1112	2120	2	2a²e	CARDINAL
m-1112	2121	1	2a².e	CARDINAL
m-1112	2123	1	kepler	ORG
m-1112	2123	2	second	ORDINAL
m-1112	2123	3	4	CARDINAL
m-1112	2124	1	1	CARDINAL
m-1112	2124	2	4	CARDINAL
m-1112	2124	3	²p	PRODUCT
m-1112	2124	4	1	CARDINAL
m-1112	2124	5	²𝐩	CARDINAL
m-1112	2124	6	1 4π²ma3	CARDINAL
m-1112	2124	7	4	CARDINAL
m-1112	2125	1	2a	CARDINAL
m-1112	2126	1	1 4π²ma3	CARDINAL
m-1112	2127	1	1	CARDINAL
m-1112	2127	2	1	CARDINAL
m-1112	2129	1	4πa3	CARDINAL
m-1112	2129	2	1kw	ORDINAL
m-1112	2129	3	1	CARDINAL
m-1112	2130	1	4πa3	CARDINAL
m-1112	2130	2	1	CARDINAL
m-1112	2132	1	1	CARDINAL
m-1112	2133	1	ijo international journal of mathematics	ORG
m-1112	2133	2	2992-4421	DATE
m-1112	2134	1	08	CARDINAL
m-1112	2135	1	08	DATE
m-1112	2136	1	august 2025	DATE
m-1112	2136	2	75	CARDINAL
m-1112	2136	3	mfmf pns	LOC
m-1112	2137	1	the quanta of energy	ORG
m-1112	2137	2	kepler`s	FAC
m-1112	2137	3	second	ORDINAL
m-1112	2137	4	third	ORDINAL
m-1112	2137	5	fourth	ORDINAL
m-1112	2138	1	w	GPE
m-1112	2138	2	2π	CARDINAL
m-1112	2138	3	2π.fn	CARDINAL
m-1112	2138	4	1+√5 2	CARDINAL
m-1112	2138	5	σ 2πr	CARDINAL
m-1112	2141	1	1	CARDINAL
m-1112	2141	2	1	CARDINAL
m-1112	2141	3	= k .f ²n	PERSON
m-1112	2142	1	kepler`s	ORG
m-1112	2142	2	newton`s lagrange	ORG
m-1112	2142	3	² 3	CARDINAL
m-1112	2142	4	3	CARDINAL
m-1112	2143	1	4π2].x	CARDINAL
m-1112	2143	2	3	CARDINAL
m-1112	2143	3	2π	CARDINAL
m-1112	2144	1	√ k=1 g.a	PERSON
m-1112	2144	2	³ 2	PERSON
m-1112	2144	3	2	CARDINAL
m-1112	2144	4	√ k md ev	PERSON
m-1112	2144	5	quanta	GPE
m-1112	2146	1	two	CARDINAL
m-1112	2147	1	2r	CARDINAL
m-1112	2147	2	1 4	CARDINAL
m-1112	2147	3	8.r	CARDINAL
m-1112	2147	4	8.𝜋𝑟𝑐	CARDINAL
m-1112	2148	1	8.𝜋𝑟𝑐	CARDINAL
m-1112	2151	1	2πr	CARDINAL
m-1112	2155	1	fn̅	GPE
m-1112	2155	2	3.10−7m	PRODUCT
m-1112	2155	3	3.√3.10−7	CARDINAL
m-1112	2157	1	the quanta of energy	ORG
m-1112	2157	2	fourth	ORDINAL
m-1112	2158	1	1	CARDINAL
m-1112	2162	1	6,6262.10−34	CARDINAL
m-1112	2163	1	2,176.10−18	CARDINAL
m-1112	2163	2	2	CARDINAL
m-1112	2164	1	1,6.10−19	CARDINAL
m-1112	2164	2	13,6	CARDINAL
m-1112	2166	1	3,04513.10−16]²	CARDINAL
m-1112	2166	2	3	CARDINAL
m-1112	2166	3	2,1145016.10−11	CARDINAL
m-1112	2167	1	2	CARDINAL
m-1112	2167	2	𝟐	CARDINAL
m-1112	2167	3	𝟐	CARDINAL
m-1112	2167	4	2	CARDINAL
m-1112	2168	1	𝟐	NORP
m-1112	2168	2	𝐁𝐄	GPE
m-1112	2168	3	2.π⁵.r³.f	CARDINAL
m-1112	2169	1	three	CARDINAL
m-1112	2171	1	7,593.1035	CARDINAL
m-1112	2171	2	ijo international journal of mathematics	ORG
m-1112	2171	3	2992-4421	DATE
m-1112	2171	4	08	CARDINAL
m-1112	2172	1	08	DATE
m-1112	2173	1	august 2025	DATE
m-1112	2173	2	76	DATE
m-1112	2173	3	mfmf pns	LOC
m-1112	2183	1	²	CARDINAL
m-1112	2184	1	² ± 2.s	CARDINAL
m-1112	2187	1	polygon	ORG
m-1112	2188	1	4	CARDINAL
m-1112	2189	1	2r	CARDINAL
m-1112	2190	1	2r	CARDINAL
m-1112	2190	2	2rmonad	CARDINAL
m-1112	2192	1	≡ qua ≡	ORG
m-1112	2192	2	2rmonad	CARDINAL
m-1112	2193	1	⇅	LAW
m-1112	2194	1	1	CARDINAL
m-1112	2194	2	1 abm	CARDINAL
m-1112	2195	1	1,58.10−19 coulomb	CARDINAL
m-1112	2196	1	1)	CARDINAL
m-1112	2196	2	g. ke ≡	PERSON
m-1112	2199	1	6,673692	CARDINAL
m-1112	2200	1	9,8076941	CARDINAL
m-1112	2205	1	36.10−20	CARDINAL
m-1112	2205	2	g φ	PERSON
m-1112	2205	3	6,673692	CARDINAL
m-1112	2205	4	36	CARDINAL
m-1112	2206	1	2.9895163.108 m/s 2	QUANTITY
m-1112	2210	1	g φ	PERSON
m-1112	2210	2	6,673692	CARDINAL
m-1112	2210	3	36	CARDINAL
m-1112	2210	4	−20	PERSON
m-1112	2211	1	2.9985163.108	CARDINAL
m-1112	2212	1	3	CARDINAL
m-1112	2212	2	two	CARDINAL
m-1112	2212	3	two	CARDINAL
m-1112	2212	4	three	CARDINAL
m-1112	2212	5	{qua} ≡	PERSON
m-1112	2216	1	two	CARDINAL
m-1112	2216	2	⏊	ORG
m-1112	2217	1	2r	CARDINAL
m-1112	2217	2	σ φ	PERSON
m-1112	2218	1	three	CARDINAL
m-1112	2218	2	2s²	CARDINAL
m-1112	2219	1	3	CARDINAL
m-1112	2219	2	n ≡ 3	ORG
m-1112	2219	3	3	CARDINAL
m-1112	2219	4	7,593.1035	CARDINAL
m-1112	2219	5	atom`s & compounds	ORG
m-1112	2219	6	the ijo international journal of mathematics	ORG
m-1112	2219	7	2992-4421	DATE
m-1112	2220	1	08	CARDINAL
m-1112	2221	1	08	DATE
m-1112	2222	1	august 2025	DATE
m-1112	2222	2	77	DATE
m-1112	2222	3	mfmf pns	LOC
m-1112	2227	1	8	CARDINAL
m-1112	2227	2	①	ORG
m-1112	2227	3	three	CARDINAL
m-1112	2227	4	markos tetrahedron	PERSON
m-1112	2227	5	⏊	ORG
m-1112	2227	6	⏊	ORG
m-1112	2228	1	8 x	QUANTITY
m-1112	2230	1	1	CARDINAL
m-1112	2230	2	1	CARDINAL
m-1112	2230	3	1	CARDINAL
m-1112	2230	4	2	CARDINAL
m-1112	2231	1	3	CARDINAL
m-1112	2232	1	4	CARDINAL
m-1112	2234	1	kn kp	PERSON
m-1112	2236	1	kn kp kn kp	PERSON
m-1112	2238	1	kn kp kn	PERSON
m-1112	2239	1	kn kp kn kp	PERSON
m-1112	2244	1	𝟐𝛑𝐫	NORP
m-1112	2245	1	𝟐𝛑𝐫	NORP
m-1112	2253	1	1	CARDINAL
m-1112	2253	2	two	CARDINAL
m-1112	2257	1	→{w≡em	ORG
m-1112	2257	2	2.λc.sin.2φ	CARDINAL
m-1112	2259	1	ijo international journal of mathematics	ORG
m-1112	2259	2	2992-4421	DATE
m-1112	2259	3	08	CARDINAL
m-1112	2260	1	08	DATE
m-1112	2261	1	august 2025	DATE
m-1112	2261	2	78	CARDINAL
m-1112	2261	3	mfmf pns	LOC
m-1112	2262	1	6c	CARDINAL
m-1112	2263	1	17	CARDINAL
m-1112	2264	1	1	CARDINAL
m-1112	2265	1	1	CARDINAL
m-1112	2265	2	2	CARDINAL
m-1112	2267	1	1	CARDINAL
m-1112	2267	2	3	CARDINAL
m-1112	2269	1	1	CARDINAL
m-1112	2269	2	4	CARDINAL
m-1112	2271	1	1	CARDINAL
m-1112	2271	2	6c1	CARDINAL
m-1112	2272	1	ijo international journal of mathematics	ORG
m-1112	2272	2	2992-4421	DATE
m-1112	2272	3	08	CARDINAL
m-1112	2273	1	08	DATE
m-1112	2274	1	august 2025	DATE
m-1112	2274	2	79	CARDINAL
m-1112	2274	3	mfmf pns	LOC
m-1112	2275	1	two	CARDINAL
m-1112	2275	2	0	DATE
m-1112	2277	1	2πfn.r	CARDINAL
m-1112	2277	2	2πr	ORDINAL
m-1112	2278	1	σ φ	PERSON
m-1112	2280	1	1,61626.10−35	CARDINAL
m-1112	2281	1	2π	CARDINAL
m-1112	2282	1	σ φ	PERSON
m-1112	2284	1	cx	ORG
m-1112	2284	2	two	CARDINAL
m-1112	2284	3	⏊	DATE
m-1112	2285	1	4	CARDINAL
m-1112	2286	1	4	CARDINAL
m-1112	2287	1	λ / 4	ORG
m-1112	2288	1	90°	QUANTITY
m-1112	2288	2	2	CARDINAL
m-1112	2290	1	90°	QUANTITY
m-1112	2291	1	quarter	CARDINAL
m-1112	2291	2	0°	QUANTITY
m-1112	2291	3	90°	QUANTITY
m-1112	2291	4	quarter	CARDINAL
m-1112	2291	5	quarter	CARDINAL
m-1112	2291	6	4	CARDINAL
m-1112	2291	7	quarter	CARDINAL
m-1112	2291	8	2-o-3	CARDINAL
m-1112	2291	9	quarter	CARDINAL
m-1112	2292	1	±	CARDINAL
m-1112	2292	2	quarter	CARDINAL
m-1112	2293	1	quarter	CARDINAL
m-1112	2294	1	+ +	DATE
m-1112	2294	2	quarter	DATE
m-1112	2294	3	quarter	DATE
m-1112	2295	1	108	CARDINAL
m-1112	2295	2	newton	GPE
m-1112	2297	1	magnetic ijo international journal of mathematics	ORG
m-1112	2297	2	2992-4421	DATE
m-1112	2297	3	08	CARDINAL
m-1112	2297	4	08	DATE
m-1112	2298	1	august 2025	DATE
m-1112	2298	2	80	CARDINAL
m-1112	2298	3	mfmf pns	LOC
m-1112	2299	1	newton	GPE
m-1112	2300	1	1,616255.10−35	CARDINAL
m-1112	2300	2	1-4	CARDINAL
m-1112	2300	3	quarter	CARDINAL
m-1112	2300	4	0	CARDINAL
m-1112	2300	5	4-o-2 ]	CARDINAL
m-1112	2300	6	quarter	CARDINAL
m-1112	2301	1	2-o-3	CARDINAL
m-1112	2301	2	quarter	CARDINAL
m-1112	2301	3	3-o-1	CARDINAL
m-1112	2301	4	quarter	CARDINAL
m-1112	2301	5	+quarter	DATE
m-1112	2302	1	1-o-4	CARDINAL
m-1112	2302	2	quarter	CARDINAL
m-1112	2302	3	4	CARDINAL
m-1112	2302	4	1	CARDINAL
m-1112	2303	1	1	CARDINAL
m-1112	2303	2	4	CARDINAL
m-1112	2303	3	2	CARDINAL
m-1112	2303	4	3	CARDINAL
m-1112	2303	5	⏊	ORG
m-1112	2304	1	2πr φ	PRODUCT
m-1112	2305	1	2πfn.r	CARDINAL
m-1112	2305	2	2πr	ORDINAL
m-1112	2306	1	σ φ	PERSON
m-1112	2306	2	0	DATE
m-1112	2307	1	0	CARDINAL
m-1112	2307	2	two	CARDINAL
m-1112	2310	1	1+√5)σ	CARDINAL
m-1112	2311	1	2πr φ	PRODUCT
m-1112	2311	2	1	CARDINAL
m-1112	2311	3	4π²r²	CARDINAL
m-1112	2311	4	1	CARDINAL
m-1112	2312	1	2𝜋 σ	CARDINAL
m-1112	2312	2	²	CARDINAL
m-1112	2312	3	2e	CARDINAL
m-1112	2312	4	2e	CARDINAL
m-1112	2312	5	2π.f	CARDINAL
m-1112	2312	6	2	CARDINAL
m-1112	2313	1	2e	CARDINAL
m-1112	2313	2	b̅fn	GPE
m-1112	2313	3	1+√5)σ	CARDINAL
m-1112	2314	1	σ 2πr	QUANTITY
m-1112	2314	2	.b̅ φ	PERSON
m-1112	2317	1	1,6180339	CARDINAL
m-1112	2317	2	1 4𝜋.1,6840307.10−17	CARDINAL
m-1112	2318	1	10−17=	CARDINAL
m-1112	2319	1	21,76.10−19 1,6.10 19	DATE
m-1112	2320	1	13,6	CARDINAL
m-1112	2321	1	⃗	ORG
m-1112	2321	2	⃗	ORG
m-1112	2321	3	⃗	ORG
m-1112	2322	1	2	CARDINAL
m-1112	2322	2	2	CARDINAL
m-1112	2322	3	2l	CARDINAL
m-1112	2322	4	2	CARDINAL
m-1112	2323	1	2πf	ORDINAL
m-1112	2324	1	j w	PERSON
m-1112	2325	1	2	CARDINAL
m-1112	2325	2	𝛑.𝐫𝟑	CARDINAL
m-1112	2325	3	𝟒	PRODUCT
m-1112	2325	4	2992-4421	DATE
m-1112	2325	5	08	CARDINAL
m-1112	2326	1	08	DATE
m-1112	2327	1	august 2025	DATE
m-1112	2328	1	81	CARDINAL
m-1112	2328	2	mfmf pns	LOC
m-1112	2329	1	±	CARDINAL
m-1112	2330	1	𝛑.𝐫𝟐	CARDINAL
m-1112	2331	1	r² w	PERSON
m-1112	2331	2	2πf	ORDINAL
m-1112	2332	1	2	CARDINAL
m-1112	2332	2	2	CARDINAL
m-1112	2332	3	2	CARDINAL
m-1112	2332	4	4	CARDINAL
m-1112	2333	1	2πf]=	CARDINAL
m-1112	2334	1	𝟒	CARDINAL
m-1112	2334	2	±	CARDINAL
m-1112	2336	1	²	CARDINAL
m-1112	2337	1	𝐦𝐆g= g.	PERSON
m-1112	2339	1	𝛑𝐫𝐯𝟒 𝟐	FAC
m-1112	2339	2	±	CARDINAL
m-1112	2343	1	80,773378.𝟏𝟎𝟑𝟐. 20,085536	DATE
m-1112	2343	2	±	CARDINAL
m-1112	2344	1	two	CARDINAL
m-1112	2345	1	0	CARDINAL
m-1112	2345	2	two	CARDINAL
m-1112	2346	1	two	CARDINAL
m-1112	2346	2	±	CARDINAL
m-1112	2348	1	6c2	CARDINAL
m-1112	2349	1	1	CARDINAL
m-1112	2350	1	±	CARDINAL
m-1112	2351	1	2	CARDINAL
m-1112	2351	2	ẋ.	CARDINAL
m-1112	2351	3	0	CARDINAL
m-1112	2351	4	3	CARDINAL
m-1112	2352	1	2	CARDINAL
m-1112	2352	2	∫ 𝑓(𝑥)𝑑𝑥	ORG
m-1112	2352	3	0	CARDINAL
m-1112	2352	4	ijo international journal of mathematics	ORG
m-1112	2352	5	2992-4421	DATE
m-1112	2352	6	08	CARDINAL
m-1112	2353	1	08	DATE
m-1112	2354	1	august 2025	DATE
m-1112	2354	2	82	CARDINAL
m-1112	2354	3	mfmf pns	LOC
m-1112	2355	1	0	CARDINAL
m-1112	2356	1	4	CARDINAL
m-1112	2356	2	2	CARDINAL
m-1112	2356	3	2	CARDINAL
m-1112	2357	1	3	CARDINAL
m-1112	2362	1	1,2	CARDINAL
m-1112	2362	2	f(x	ORG
m-1112	2365	1	3	CARDINAL
m-1112	2365	2	4	DATE
m-1112	2365	3	u(x	ORG
m-1112	2365	4	zero	CARDINAL
m-1112	2365	5	±	CARDINAL
m-1112	2366	1	4	CARDINAL
m-1112	2367	1	2-o-3	CARDINAL
m-1112	2368	1	3-o-1	CARDINAL
m-1112	2368	2	cx	ORG
m-1112	2369	1	1	CARDINAL
m-1112	2369	2	2	CARDINAL
m-1112	2369	3	1 2	CARDINAL
m-1112	2369	4	+ 1 2 k	QUANTITY
m-1112	2370	1	1	CARDINAL
m-1112	2372	1	2	CARDINAL
m-1112	2372	2	2.9985163	CARDINAL
m-1112	2372	3	108	CARDINAL
m-1112	2372	4	4	CARDINAL
m-1112	2373	1	10−35	CARDINAL
m-1112	2374	1	0	CARDINAL
m-1112	2375	1	2	CARDINAL
m-1112	2375	2	3	CARDINAL
m-1112	2375	3	4	DATE
m-1112	2376	1	3	CARDINAL
m-1112	2376	2	4	DATE
m-1112	2376	3	zero	CARDINAL
m-1112	2377	1	3	CARDINAL
m-1112	2378	1	quarter	CARDINAL
m-1112	2379	1	quarter	CARDINAL
m-1112	2379	2	2-o-3	CARDINAL
m-1112	2379	3	the ijo international journal of mathematics	ORG
m-1112	2379	4	2992-4421	DATE
m-1112	2379	5	08	CARDINAL
m-1112	2380	1	08	DATE
m-1112	2381	1	august 2025	DATE
m-1112	2381	2	83	CARDINAL
m-1112	2381	3	mfmf pns	LOC
m-1112	2384	1	4	CARDINAL
m-1112	2384	2	²	CARDINAL
m-1112	2384	3	1	CARDINAL
m-1112	2384	4	²	CARDINAL
m-1112	2384	5	³	ORG
m-1112	2384	6	j w	PERSON
m-1112	2384	7	± √ gm	QUANTITY
m-1112	2384	8	2	CARDINAL
m-1112	2384	9	2.r³ 2	DATE
m-1112	2384	10	2 2	CARDINAL
m-1112	2385	1	caves`s	ORG
m-1112	2386	1	zero	CARDINAL
m-1112	2386	2	8	CARDINAL
m-1112	2387	1	5	CARDINAL
m-1112	2387	2	70	CARDINAL
m-1112	2387	3	3,535.1016	CARDINAL
m-1112	2389	1	1,6162.10−35	DATE
m-1112	2390	1	6,344907.10−35 kg	QUANTITY
m-1112	2392	1	2l	CARDINAL
m-1112	2394	1	2l	CARDINAL
m-1112	2395	1	2l	CARDINAL
m-1112	2397	1	2l	CARDINAL
m-1112	2398	1	1	CARDINAL
m-1112	2398	2	2π	CARDINAL
m-1112	2398	3	1 fm	QUANTITY
m-1112	2398	4	kepler	ORG
m-1112	2398	5	k = 4π²	PERSON
m-1112	2398	6	1	CARDINAL
m-1112	2398	7	4𝜋²	CARDINAL
m-1112	2398	8	1	CARDINAL
m-1112	2400	1	4π²	CARDINAL
m-1112	2402	1	4π²	CARDINAL
m-1112	2403	1	³.	CARDINAL
m-1112	2405	1	±	CARDINAL
m-1112	2407	1	² +	DATE
m-1112	2407	2	1	CARDINAL
m-1112	2414	1	r² w	PERSON
m-1112	2414	2	2πf	ORDINAL
m-1112	2415	1	2	CARDINAL
m-1112	2415	2	4	CARDINAL
m-1112	2416	1	2	CARDINAL
m-1112	2416	2	2w.r²	CARDINAL
m-1112	2417	1	2v	CARDINAL
m-1112	2418	1	4	CARDINAL
m-1112	2418	2	quarter	CARDINAL
m-1112	2418	3	±	CARDINAL
m-1112	2418	4	𝛑.𝐫²	ORG
m-1112	2418	5	1,1107206.10−70	CARDINAL
m-1112	2419	1	1,782662.10−36 kg	QUANTITY
m-1112	2419	2	1,1107206.10−70 m²/ 1,782662	DATE
m-1112	2420	1	10−36	CARDINAL
m-1112	2421	1	10−35 kg	QUANTITY
m-1112	2421	2	=√2𝑐3a qc / g	PERSON
m-1112	2421	3	𝐏𝐍𝐒 ≡	ORG
m-1112	2421	4	1,4143.(27.10"24)1,1107206.10−70 𝟔,680056.10−11	DATE
m-1112	2422	1	6,344907.10−35 kg	QUANTITY
m-1112	2424	1	22	CARDINAL
m-1112	2424	2	ijo international journal of mathematics	ORG
m-1112	2424	3	2992-4421	DATE
m-1112	2424	4	08	CARDINAL
m-1112	2424	5	08	DATE
m-1112	2425	1	august 2025	DATE
m-1112	2425	2	84	CARDINAL
m-1112	2425	3	mfmf pns	LOC
m-1112	2426	1	zero	CARDINAL
m-1112	2426	2	w	ORG
m-1112	2428	1	0	CARDINAL
m-1112	2428	2	0	CARDINAL
m-1112	2428	3	⃗	ORG
m-1112	2429	1	ab⃗⃗⃗⃗ ⃗	PERSON
m-1112	2429	2	0	CARDINAL
m-1112	2429	3	0	CARDINAL
m-1112	2430	1	one	CARDINAL
m-1112	2431	1	impulse ≡ motion ≡ energy	ORG
m-1112	2431	2	6c3	CARDINAL
m-1112	2432	1	w	GPE
m-1112	2432	2	two	CARDINAL
m-1112	2432	3	three	CARDINAL
m-1112	2432	4	1	CARDINAL
m-1112	2432	5	2	CARDINAL
m-1112	2433	1	3	CARDINAL
m-1112	2433	2	4	CARDINAL
m-1112	2434	1	5	CARDINAL
m-1112	2435	1	6	CARDINAL
m-1112	2435	2	three	CARDINAL
m-1112	2435	3	2l	CARDINAL
m-1112	2436	1	⊕	GPE
m-1112	2437	1	first	ORDINAL
m-1112	2438	1	wd	ORG
m-1112	2440	1	4π	CARDINAL
m-1112	2442	1	𝟒𝝅𝒓² 𝟑 ].𝐧𝐟𝟏 = n	WORK_OF_ART
m-1112	2443	1	8	CARDINAL
m-1112	2444	1	⃗	ORG
m-1112	2444	2	zero	CARDINAL
m-1112	2444	3	ijo international journal of mathematics	ORG
m-1112	2444	4	2992-4421	DATE
m-1112	2444	5	08	CARDINAL
m-1112	2445	1	08	DATE
m-1112	2446	1	august 2025	DATE
m-1112	2446	2	85	CARDINAL
m-1112	2446	3	mfmf pns	LOC
m-1112	2447	1	0	CARDINAL
m-1112	2447	2	zero	CARDINAL
m-1112	2447	3	0	CARDINAL
m-1112	2449	1	58	CARDINAL
m-1112	2449	2	10 8 m/s	QUANTITY
m-1112	2450	1	1,616255.10−35	CARDINAL
m-1112	2451	1	newton	GPE
m-1112	2453	1	2	CARDINAL
m-1112	2453	2	𝛑.𝐫𝟑	CARDINAL
m-1112	2453	3	𝟒	PRODUCT
m-1112	2453	4	4	CARDINAL
m-1112	2453	5	4	CARDINAL
m-1112	2454	1	≡ ↓	ORG
m-1112	2454	2	4	CARDINAL
m-1112	2454	3	the – planckcave	DATE
m-1112	2455	1	antigravity g ≡	ORG
m-1112	2455	2	↑	ORG
m-1112	2456	1	4	CARDINAL
m-1112	2456	2	↑	ORG
m-1112	2457	1	17b	CARDINAL
m-1112	2457	2	1	CARDINAL
m-1112	2459	1	9, 8076925	DATE
m-1112	2461	1	2992-4421	DATE
m-1112	2461	2	08	CARDINAL
m-1112	2462	1	08	DATE
m-1112	2463	1	august 2025	DATE
m-1112	2463	2	86	CARDINAL
m-1112	2463	3	mfmf pns	LOC
m-1112	2465	1	1+ √5	QUANTITY
m-1112	2466	1	4πr	CARDINAL
m-1112	2467	1	𝛔𝟏,𝟐	GPE
m-1112	2467	2	±	CARDINAL
m-1112	2467	3	½)√σ1²	ORG
m-1112	2467	4	+ 4	DATE
m-1112	2468	1	ẋ/r	GPE
m-1112	2470	1	1m.wn	CARDINAL
m-1112	2471	1	1	CARDINAL
m-1112	2473	1	1+√5	CARDINAL
m-1112	2473	2	²	CARDINAL
m-1112	2473	3	3+√5	CARDINAL
m-1112	2474	1	σ	ORG
m-1112	2477	1	2	CARDINAL
m-1112	2478	1	kepler`s 2nd	DATE
m-1112	2478	2	4m²	QUANTITY
m-1112	2479	1	²	CARDINAL
m-1112	2479	2	²	CARDINAL
m-1112	2479	3	4π²m	ORDINAL
m-1112	2479	4	2e	CARDINAL
m-1112	2479	5	4π²	CARDINAL
m-1112	2479	6	4π²	CARDINAL
m-1112	2479	7	gm	ORG
m-1112	2481	1	1	CARDINAL
m-1112	2484	1	4π² gm	QUANTITY
m-1112	2485	1	second	ORDINAL
m-1112	2487	1	w	GPE
m-1112	2487	2	dx	ORG
m-1112	2488	1	+ 1 𝐶	QUANTITY
m-1112	2491	1	d²q / dt² = the space distribution of charge	ORG
m-1112	2492	1	b. 𝑒𝑠2.𝑡	PERSON
m-1112	2493	1	2	CARDINAL
m-1112	2493	2	1	CARDINAL
m-1112	2493	3	2	CARDINAL
m-1112	2493	4	quanta of energy	ORG
m-1112	2496	1	ijo international journal of mathematics	ORG
m-1112	2496	2	2992-4421	DATE
m-1112	2496	3	08	CARDINAL
m-1112	2497	1	08	DATE
m-1112	2498	1	august 2025	DATE
m-1112	2498	2	87	CARDINAL
m-1112	2498	3	mfmf pns	LOC
m-1112	2500	1	two	CARDINAL
m-1112	2500	2	first	ORDINAL
m-1112	2500	3	second	ORDINAL
m-1112	2501	1	 σ	PERSON
m-1112	2502	1	g ke = g	PERSON
m-1112	2504	1	g gl kl	PERSON
m-1112	2505	1	4	CARDINAL
m-1112	2505	2	3	CARDINAL
m-1112	2505	3	φ ³	PERSON
m-1112	2507	1	6c4	CARDINAL
m-1112	2508	1	w ² ←	PRODUCT
m-1112	2508	2	𝐀 𝐂	ORG
m-1112	2510	1	²	CARDINAL
m-1112	2510	2	√6,68	ORG
m-1112	2511	1	10−35]²	CARDINAL
m-1112	2512	1	0,5057.1030	CARDINAL
m-1112	2513	1	±	CARDINAL
m-1112	2517	1	↔	ORG
m-1112	2517	2	2	CARDINAL
m-1112	2517	3	2 +	DATE
m-1112	2517	4	w−2wc 2	DATE
m-1112	2519	1	dm = antidotes	ORG
m-1112	2522	1	106	CARDINAL
m-1112	2522	2	ijo international journal of mathematics	ORG
m-1112	2522	3	2992-4421	DATE
m-1112	2522	4	08	CARDINAL
m-1112	2523	1	08	DATE
m-1112	2524	1	august 2025	DATE
m-1112	2524	2	88	CARDINAL
m-1112	2524	3	mfmf pns	LOC
m-1112	2526	1	𝐄𝐂	ORG
m-1112	2527	1	signalling.(wc	GPE
m-1112	2530	1	2	CARDINAL
m-1112	2530	2	2	CARDINAL
m-1112	2531	1	2 +	DATE
m-1112	2531	2	w−2wc 2	DATE
m-1112	2531	3	1	CARDINAL
m-1112	2532	1	±	CARDINAL
m-1112	2535	1	±	CARDINAL
m-1112	2537	1	2	CARDINAL
m-1112	2538	1	±	CARDINAL
m-1112	2546	1	↔	ORG
m-1112	2547	1	↔	ORG
m-1112	2547	2	dm = antidotes	ORG
m-1112	2548	1	6c5	CARDINAL
m-1112	2549	1	1)	CARDINAL
m-1112	2551	1	2)it	CARDINAL
m-1112	2551	2	70	CARDINAL
m-1112	2551	3	two	CARDINAL
m-1112	2551	4	±	CARDINAL
m-1112	2553	1	0	CARDINAL
m-1112	2554	1	4	CARDINAL
m-1112	2555	1	2	CARDINAL
m-1112	2555	2	k pns 2 j1.cos	ORG
m-1112	2556	1	𝐉𝟏.𝐜𝐨𝐬𝛝 +	LOC
m-1112	2556	2	±	CARDINAL
m-1112	2557	1	2	CARDINAL
m-1112	2557	2	j1.cos	GPE
m-1112	2557	3	2	CARDINAL
m-1112	2558	1	4	CARDINAL
m-1112	2559	1	j1 cos	PERSON
m-1112	2559	2	2	CARDINAL
m-1112	2560	1	2l	CARDINAL
m-1112	2561	1	𝐏𝐍𝐒	ORG
m-1112	2561	2	4	CARDINAL
m-1112	2561	3	1 |	TIME
m-1112	2562	1	2 |	TIME
m-1112	2563	1	3 |	TIME
m-1112	2566	1	ijo international journal of mathematics	ORG
m-1112	2566	2	2992-4421	DATE
m-1112	2566	3	08	CARDINAL
m-1112	2567	1	08	DATE
m-1112	2568	1	august 2025	DATE
m-1112	2568	2	89	CARDINAL
m-1112	2568	3	mfmf pns	LOC
m-1112	2569	1	solution-4 	PERSON
m-1112	2569	2	4 |	TIME
m-1112	2572	1	root ≡ micro	ORG
m-1112	2574	1	4	CARDINAL
m-1112	2574	2	𝐉𝟏.𝐜𝐨𝐬𝛝 +	LOC
m-1112	2574	3	²	CARDINAL
m-1112	2574	4	𝐉𝟏.𝐜𝐨𝐬𝛝 +	LOC
m-1112	2574	5	𝐉𝟏.𝐜𝐨𝐬𝛝 +	LOC
m-1112	2574	6	²	CARDINAL
m-1112	2574	7	𝐉𝟏.𝐜𝐨𝐬𝛝 +	LOC
m-1112	2574	8	𝐉𝟏.𝐜𝐨𝐬𝛝 +	LOC
m-1112	2574	9	²	CARDINAL
m-1112	2574	10	𝐉𝟏.𝐜𝐨𝐬 𝛝 +	GPE
m-1112	2575	1	𝐉𝟏.𝐜𝐨𝐬𝛝 +	LOC
m-1112	2575	2	²	CARDINAL
m-1112	2575	3	𝐉𝟏.𝐜𝐨𝐬𝛝 +	LOC
m-1112	2576	1	one	CARDINAL
m-1112	2576	2	±	CARDINAL
m-1112	2576	3	two	CARDINAL
m-1112	2576	4	herpolhode	TIME
m-1112	2576	5	ellipsoid	ORG
m-1112	2576	6	↓	ORG
m-1112	2577	1	↑	ORG
m-1112	2579	1	2,√r2	CARDINAL
m-1112	2579	2	1 2	CARDINAL
m-1112	2579	3	2|r|	CARDINAL
m-1112	2579	4	σ	CARDINAL
m-1112	2580	1	1 2	CARDINAL
m-1112	2581	1	𝐚𝟐𝐧	ORG
m-1112	2581	2	2n	CARDINAL
m-1112	2582	1	4	CARDINAL
m-1112	2584	1	the |w2 ̅̅ ̅̅	ORG
m-1112	2589	1	9,8076941.6,8116.10−12= 6,68056.𝟏𝟎−𝟏𝟏 m3/ n.s²	QUANTITY
m-1112	2589	2	ijo international journal of mathematics	ORG
m-1112	2589	3	2992-4421	DATE
m-1112	2589	4	08	CARDINAL
m-1112	2590	1	08	DATE
m-1112	2591	1	august 2025	DATE
m-1112	2591	2	90	CARDINAL
m-1112	2591	3	mfmf pns	LOC
m-1112	2592	1	1	CARDINAL
m-1112	2592	2	= c. r³. 𝐟𝐏²	PERSON
m-1112	2594	1	1	CARDINAL
m-1112	2596	1	zero	CARDINAL
m-1112	2596	2	7	CARDINAL
m-1112	2596	3	one	CARDINAL
m-1112	2597	1	w̅ij	GPE
m-1112	2598	1	8)	CARDINAL
m-1112	2599	1	9	CARDINAL
m-1112	2600	1	f2	ORG
m-1112	2600	2	w²]=	GPE
m-1112	2601	1	1+√5)σ	CARDINAL
m-1112	2601	2	n.σ.b̅ 8 r² →	ORG
m-1112	2604	1	𝛉 	PRODUCT
m-1112	2604	2	90	CARDINAL
m-1112	2605	1	2l	CARDINAL
m-1112	2606	1	3	CARDINAL
m-1112	2606	2	1,895644.𝟏𝟎−𝟓𝟎	ORDINAL
m-1112	2606	3	j/s	LAW
m-1112	2606	4	10−35	CARDINAL
m-1112	2607	1	10−62	CARDINAL
m-1112	2609	1	two	CARDINAL
m-1112	2609	2	uplanc	ORG
m-1112	2610	1	two	CARDINAL
m-1112	2611	1	6,6262.10−34	CARDINAL
m-1112	2612	1	1,777.10−62	CARDINAL
m-1112	2612	2	6,6262.10−34	CARDINAL
m-1112	2612	3	2	CARDINAL
m-1112	2612	4	6,6262.10−34)³ 2	CARDINAL
m-1112	2612	5	1,83585.10 50	DATE
m-1112	2612	6	6.62607.10−34	CARDINAL
m-1112	2613	1	1,83585.10 50	CARDINAL
m-1112	2613	2	1,216447	CARDINAL
m-1112	2614	1	1017	CARDINAL
m-1112	2614	2	1cb	ORDINAL
m-1112	2614	3	1,6	CARDINAL
m-1112	2614	4	ev	ORG
m-1112	2614	5	1volt	DATE
m-1112	2614	6	1joule 1culomb	CARDINAL
m-1112	2614	7	1v	CARDINAL
m-1112	2614	8	1cb	ORDINAL
m-1112	2615	1	7,593.10 35	DATE
m-1112	2617	1	1	CARDINAL
m-1112	2617	2	216447.1017	CARDINAL
m-1112	2617	3	7,593.𝟏𝟎 𝟑𝟓	DATE
m-1112	2617	4	lpla	ORG
m-1112	2617	5	7,593.10 35	DATE
m-1112	2617	6	two	CARDINAL
m-1112	2617	7	l gra	ORG
m-1112	2618	1	l gra	GPE
m-1112	2618	2	ijo international journal of mathematics	ORG
m-1112	2618	3	2992-4421	DATE
m-1112	2618	4	08	CARDINAL
m-1112	2619	1	08	DATE
m-1112	2620	1	august 2025	DATE
m-1112	2620	2	91	CARDINAL
m-1112	2620	3	mfmf pns	LOC
m-1112	2621	1	lpla	ORG
m-1112	2621	2	7,593.10 35	DATE
m-1112	2621	3	two	CARDINAL
m-1112	2623	1	fig-13	ORG
m-1112	2624	1	90	CARDINAL
m-1112	2624	2	w= 2l=	CARDINAL
m-1112	2626	1	3	CARDINAL
m-1112	2627	1	10−35	CARDINAL
m-1112	2628	1	10−62	CARDINAL
m-1112	2630	1	𝛉 	PRODUCT
m-1112	2630	2	90	CARDINAL
m-1112	2631	1	⊕	GPE
m-1112	2631	2	𝛉	ORG
m-1112	2632	1	90	CARDINAL
m-1112	2632	2	𝛉	ORG
m-1112	2632	3	90	CARDINAL
m-1112	2632	4	180	CARDINAL
m-1112	2632	5	⊕	GPE
m-1112	2633	1	three	CARDINAL
m-1112	2634	1	this pm	TIME
m-1112	2634	2	three	CARDINAL
m-1112	2634	3	2s ²	QUANTITY
m-1112	2634	4	²	CARDINAL
m-1112	2634	5	three	CARDINAL
m-1112	2634	6	kb kc	PERSON
m-1112	2634	7	ae	ORG
m-1112	2634	8	±	CARDINAL
m-1112	2636	1	1	CARDINAL
m-1112	2636	2	0	CARDINAL
m-1112	2636	3	511mev	CARDINAL
m-1112	2636	4	0	CARDINAL
m-1112	2636	5	511.10−6	CARDINAL
m-1112	2637	1	1,80	CARDINAL
m-1112	2638	1	10−27	CARDINAL
m-1112	2639	1	9,198.10−34 kg	QUANTITY
m-1112	2641	1	5,0.10−18	CARDINAL
m-1112	2641	2	1,602.10−19	CARDINAL
m-1112	2641	3	2	CARDINAL
m-1112	2642	1	2,845976.10−34{kg	CARDINAL
m-1112	2642	2	𝟐	NORP
m-1112	2642	3	36.10−20	CARDINAL
m-1112	2643	1	51,428	CARDINAL
m-1112	2644	1	+ 2,111843.1010j	CARDINAL
m-1112	2644	2	51,43 ev+ 1,32	DATE
m-1112	2644	3	.1029	ORG
m-1112	2645	1	2	CARDINAL
m-1112	2645	2	three	CARDINAL
m-1112	2645	3	7,593.1035	CARDINAL
m-1112	2646	1	ijo international journal of mathematics	ORG
m-1112	2646	2	2992-4421	DATE
m-1112	2646	3	08	CARDINAL
m-1112	2647	1	08	DATE
m-1112	2648	1	august 2025	DATE
m-1112	2648	2	92	CARDINAL
m-1112	2648	3	mfmf pns	LOC
m-1112	2650	1	1	CARDINAL
m-1112	2650	2	o	DATE
m-1112	2650	3	o	DATE
m-1112	2650	4	ρ̅	ORG
m-1112	2650	5	o	DATE
m-1112	2650	6	ρ̅	ORG
m-1112	2651	1	2	CARDINAL
m-1112	2651	2	o	DATE
m-1112	2651	3	o	DATE
m-1112	2653	1	3	CARDINAL
m-1112	2653	2	mohr	PERSON
m-1112	2653	3	two	CARDINAL
m-1112	2653	4	o	DATE
m-1112	2653	5	ρ̅	ORG
m-1112	2653	6	o	DATE
m-1112	2653	7	ja ≡	PERSON
m-1112	2653	8	ρ̅	ORG
m-1112	2655	1	12	CARDINAL
m-1112	2655	2	two	CARDINAL
m-1112	2656	1	2l	CARDINAL
m-1112	2656	2	1	CARDINAL
m-1112	2656	3	+ 1	CARDINAL
m-1112	2656	4	j2	ORG
m-1112	2656	5	2l	CARDINAL
m-1112	2656	6	²	CARDINAL
m-1112	2656	7	13a	CARDINAL
m-1112	2656	8	1	CARDINAL
m-1112	2656	9	fig-17	ORDINAL
m-1112	2656	10	2	CARDINAL
m-1112	2659	1	ρ̅	ORG
m-1112	2661	1	ρ̅ ⊥ a̅ ≡	ORG
m-1112	2662	1	ρ̅ ≡	ORG
m-1112	2663	1	12	CARDINAL
m-1112	2663	2	ρ̅	ORG
m-1112	2664	1	2.b	CARDINAL
m-1112	2664	2	5	CARDINAL
m-1112	2665	1	2	CARDINAL
m-1112	2667	1	2	CARDINAL
m-1112	2667	2	90	CARDINAL
m-1112	2668	1	w= 2l=	CARDINAL
m-1112	2668	2	2	CARDINAL
m-1112	2668	3	⊕	PERSON
m-1112	2670	1	ijo international journal of mathematics	ORG
m-1112	2670	2	2992-4421	DATE
m-1112	2670	3	08	CARDINAL
m-1112	2671	1	08	DATE
m-1112	2672	1	august 2025	DATE
m-1112	2672	2	93	CARDINAL
m-1112	2672	3	mfmf pns	LOC
m-1112	2673	1	6c6	CARDINAL
m-1112	2673	2	pns  mfmf	PRODUCT
m-1112	2674	1	𝐉𝟏.𝐜𝐨𝐬𝛝 +	LOC
m-1112	2674	2	±	CARDINAL
m-1112	2677	1	2	CARDINAL
m-1112	2677	2	j1.cos	GPE
m-1112	2679	1	2	CARDINAL
m-1112	2680	1	4	CARDINAL
m-1112	2680	2	j1 cos	PERSON
m-1112	2680	3	2	CARDINAL
m-1112	2680	4	1,836.1045hz	CARDINAL
m-1112	2681	1	2π.f	CARDINAL
m-1112	2681	2	56,13308	CARDINAL
m-1112	2682	1	2	CARDINAL
m-1112	2682	2	j w	PERSON
m-1112	2684	1	2	CARDINAL
m-1112	2684	2	3	CARDINAL
m-1112	2684	3	3	CARDINAL
m-1112	2684	4	j / 1,6022	ORG
m-1112	2684	5	3,754935.10−76	CARDINAL
m-1112	2684	6	3	CARDINAL
m-1112	2684	7	𝛉 	PRODUCT
m-1112	2684	8	90	CARDINAL
m-1112	2685	1	2l	CARDINAL
m-1112	2686	1	3	CARDINAL
m-1112	2686	2	1,895644.𝟏𝟎−𝟓𝟎	ORDINAL
m-1112	2686	3	j/s	LAW
m-1112	2686	4	10−35	CARDINAL
m-1112	2687	1	10−62	CARDINAL
m-1112	2688	1	ijo international journal of mathematics	ORG
m-1112	2688	2	2992-4421	DATE
m-1112	2688	3	08	CARDINAL
m-1112	2689	1	08	DATE
m-1112	2690	1	august 2025	DATE
m-1112	2690	2	94	CARDINAL
m-1112	2690	3	mfmf pns	LOC
m-1112	2692	1	two	CARDINAL
m-1112	2692	2	uplanc	ORG
m-1112	2693	1	two	CARDINAL
m-1112	2694	1	6,6262.10−34	CARDINAL
m-1112	2695	1	1,777.10−62	CARDINAL
m-1112	2695	2	1,216447.	CARDINAL
m-1112	2696	1	1017	CARDINAL
m-1112	2696	2	1cb	ORDINAL
m-1112	2696	3	1,6	CARDINAL
m-1112	2696	4	ev	ORG
m-1112	2696	5	1volt	DATE
m-1112	2696	6	1−joule 1−culomb	DATE
m-1112	2696	7	1v	CARDINAL
m-1112	2696	8	1cb	ORDINAL
m-1112	2699	1	1	CARDINAL
m-1112	2699	2	216447.1017	CARDINAL
m-1112	2699	3	7,593.𝟏𝟎 𝟑𝟓	DATE
m-1112	2699	4	lpla	ORG
m-1112	2699	5	7,593.10 35	DATE
m-1112	2699	6	two	CARDINAL
m-1112	2699	7	⊕	GPE
m-1112	2699	8	l gra	ORG
m-1112	2700	1	l gra	GPE
m-1112	2700	2	lpla	ORG
m-1112	2700	3	𝐕𝐂𝐑	ORG
m-1112	2700	4	7,593.10 35	DATE
m-1112	2700	5	≡ ⇄	ORG
m-1112	2700	6	two	CARDINAL
m-1112	2702	1		ORG
m-1112	2702	2	lpla	ORG
m-1112	2702	3	3,695.10 30	DATE
m-1112	2702	4	≡ ⇄	ORG
m-1112	2702	5	two	CARDINAL
m-1112	2702	6	↑	ORG
m-1112	2702	7	↑	ORG
m-1112	2705	1	5	CARDINAL
m-1112	2705	2	0ᶱ	CARDINAL
m-1112	2705	3	45ᶱ	DATE
m-1112	2705	4	90ᶱ	DATE
m-1112	2705	5	135ᶱ	PRODUCT
m-1112	2705	6	180ᶱ	PRODUCT
m-1112	2706	1	1	CARDINAL
m-1112	2706	2	00ᶱ	DATE
m-1112	2706	3	7,593.10 35	DATE
m-1112	2706	4	↑	ORG
m-1112	2706	5	2	CARDINAL
m-1112	2706	6	45ᶱ	DATE
m-1112	2706	7	7,593.10 35	DATE
m-1112	2706	8	3	CARDINAL
m-1112	2706	9	θ 	ORG
m-1112	2706	10	90ᶱ	DATE
m-1112	2706	11	⏊	ORG
m-1112	2706	12	7,593.10 35	DATE
m-1112	2707	1	4	CARDINAL
m-1112	2707	2	135ᶱ	PRODUCT
m-1112	2707	3	7,593.10 35	DATE
m-1112	2707	4	≠	PERSON
m-1112	2707	5	5	CARDINAL
m-1112	2707	6	⏊	ORG
m-1112	2708	1	7,593.10 35	DATE
m-1112	2708	2	⇅	NORP
m-1112	2708	3	4	CARDINAL
m-1112	2709	1	7,593.10 35	DATE
m-1112	2709	2	two	CARDINAL
m-1112	2711	1	ijo international journal of mathematics	ORG
m-1112	2711	2	2992-4421	DATE
m-1112	2711	3	08	CARDINAL
m-1112	2712	1	08	DATE
m-1112	2713	1	august 2025	DATE
m-1112	2713	2	95	CARDINAL
m-1112	2713	3	mfmf pns	LOC
m-1112	2714	1	5	CARDINAL
m-1112	2714	2	2	CARDINAL
m-1112	2714	3	⊕	PERSON
m-1112	2716	1	two	CARDINAL
m-1112	2717	1	newton	GPE
m-1112	2718	1	2φ	CARDINAL
m-1112	2719	1	𝜋 2 − φ	LAW
m-1112	2719	2	2	CARDINAL
m-1112	2719	3	3	CARDINAL
m-1112	2719	4	𝐀	ORG
m-1112	2719	5	² = cmnh square	QUANTITY
m-1112	2719	6	²	CARDINAL
m-1112	2721	1	45 °	TIME
m-1112	2722	1	two	CARDINAL
m-1112	2722	2	90°	QUANTITY
m-1112	2722	3	45	CARDINAL
m-1112	2723	1	two	CARDINAL
m-1112	2724	1	89 96	CARDINAL
m-1112	2727	1	1	CARDINAL
m-1112	2728	1	ijo international journal of mathematics	ORG
m-1112	2728	2	2992-4421	DATE
m-1112	2728	3	08	CARDINAL
m-1112	2729	1	08	DATE
m-1112	2730	1	august 2025	DATE
m-1112	2730	2	96	CARDINAL
m-1112	2730	3	mfmf pns	LOC
m-1112	2732	1	2r	CARDINAL
m-1112	2733	1	3	CARDINAL
m-1112	2735	1	|q⃗⃗	DATE
m-1112	2736	1	zero	CARDINAL
m-1112	2736	2	≡  ≡	ORG
m-1112	2736	3	|q⃗⃗	DATE
m-1112	2736	4	one	CARDINAL
m-1112	2736	5	2l	CARDINAL
m-1112	2739	1	2.r	CARDINAL
m-1112	2740	1	three	CARDINAL
m-1112	2741	1	|q⃗⃗	DATE
m-1112	2742	1	↑	ORG
m-1112	2742	2	⃗	ORG
m-1112	2743	1	↑	ORG
m-1112	2743	2	⃗	ORG
m-1112	2744	1	ea	CARDINAL
m-1112	2746	1	φ	ORG
m-1112	2747	1	³	PERSON
m-1112	2747	2	↑	ORG
m-1112	2747	3	⃗	ORG
m-1112	2747	4	⃗	ORG
m-1112	2749	1	ellipsoid	ORG
m-1112	2750	1	70	CARDINAL
m-1112	2750	2	𝐊𝐀	ORG
m-1112	2751	1	⊕	GPE
m-1112	2751	2	|⊕	ORG
m-1112	2751	3	⃗	ORG
m-1112	2751	4	↕	PERSON
m-1112	2752	1	2l	CARDINAL
m-1112	2752	2	kaa⃐⃗⃗⃗	GPE
m-1112	2753	1	x|qy= cb ⇈	PERSON
m-1112	2754	1	𝐫²	DATE
m-1112	2757	1	two	CARDINAL
m-1112	2758	1	↕	PERSON
m-1112	2760	1	↕|≡|𝐐 ⇉	PERSON
m-1112	2760	2	|aka|	PERSON
m-1112	2761	1	⃗	ORG
m-1112	2762	1	⃗	ORG
m-1112	2763	1	𝐲].|aka|	GPE
m-1112	2763	2	↔	ORG
m-1112	2763	3	↕|.|aka|	PERSON
m-1112	2763	4	three	CARDINAL
m-1112	2767	1	ijo international journal of mathematics	ORG
m-1112	2767	2	2992-4421	DATE
m-1112	2767	3	08	CARDINAL
m-1112	2768	1	08	DATE
m-1112	2769	1	august 2025	DATE
m-1112	2769	2	97	CARDINAL
m-1112	2769	3	mfmf pns	LOC
m-1112	2771	1	⃗	CARDINAL
m-1112	2771	2	co³.[𝐐	ORG
m-1112	2772	1	2	CARDINAL
m-1112	2772	2	↕	PERSON
m-1112	2772	3	³	PERSON
m-1112	2772	4	k π	ORG
m-1112	2774	1	macrocosm	GPE
m-1112	2775	1	two	CARDINAL
m-1112	2777	1	zero	CARDINAL
m-1112	2777	2	0	DATE
m-1112	2777	3	zero	CARDINAL
m-1112	2777	4	±	CARDINAL
m-1112	2777	5	zero	CARDINAL
m-1112	2778	1	⊕	GPE
m-1112	2779	1	first	ORDINAL
m-1112	2781	1	kepler`s	ORG
m-1112	2781	2	first	ORDINAL
m-1112	2782	1	σ	ORG
m-1112	2784	1	1	CARDINAL
m-1112	2785	1	2πr	ORDINAL
m-1112	2785	2	2,839844	CARDINAL
m-1112	2788	1	²	CARDINAL
m-1112	2789	1	 σ	PERSON
m-1112	2791	1	109	CARDINAL
m-1112	2793	1	b̅n	PERSON
m-1112	2795	1	b̅n	PERSON
m-1112	2796	1	two	CARDINAL
m-1112	2796	2	²	CARDINAL
m-1112	2796	3	1	CARDINAL
m-1112	2796	4	ijo international journal of mathematics	ORG
m-1112	2796	5	2992-4421	DATE
m-1112	2797	1	08	CARDINAL
m-1112	2798	1	08	DATE
m-1112	2799	1	august 2025	DATE
m-1112	2799	2	98	CARDINAL
m-1112	2799	3	mfmf pns	LOC
m-1112	2800	1	4 3	CARDINAL
m-1112	2800	2	4.r 3	CARDINAL
m-1112	2800	3	²	CARDINAL
m-1112	2800	4	4	CARDINAL
m-1112	2800	5	1	CARDINAL
m-1112	2801	1	1	CARDINAL
m-1112	2803	1	⃗	CARDINAL
m-1112	2804	1	three	CARDINAL
m-1112	2804	2	kn	PERSON
m-1112	2805	1	⃗	CARDINAL
m-1112	2806	1	𝐂𝐁	ORG
m-1112	2807	1	⃗	CARDINAL
m-1112	2807	2	3	CARDINAL
m-1112	2808	1	⊕	PERSON
m-1112	2810	1	⃗	ORG
m-1112	2810	2	3	CARDINAL
m-1112	2810	3	2	CARDINAL
m-1112	2811	1	4π	CARDINAL
m-1112	2812	1	⃗	ORG
m-1112	2812	2	±	CARDINAL
m-1112	2813	1	.[𝐄	DATE
m-1112	2814	1	two	CARDINAL
m-1112	2814	2	±	CARDINAL
m-1112	2814	3	±	CARDINAL
m-1112	2814	4	⊕	PERSON
m-1112	2814	5	3d	CARDINAL
m-1112	2815	1	≡ ↓	ORG
m-1112	2815	2	4	CARDINAL
m-1112	2816	1	107	CARDINAL
m-1112	2816	2	↑	ORG
m-1112	2816	3	4	CARDINAL
m-1112	2816	4	↑	ORG
m-1112	2818	1	b̅ & w̅	ORG
m-1112	2818	2	⊕	GPE
m-1112	2818	3	the |𝐎𝐒̅̅ ̅̅	ORG
m-1112	2818	4	𝐅 𝐂	ORG
m-1112	2820	1	109	CARDINAL
m-1112	2820	2	b̅ & w̅	ORG
m-1112	2820	3	±	CARDINAL
m-1112	2820	4	𝐅 𝐂	ORG
m-1112	2820	5	𝐅 𝐂	ORG
m-1112	2820	6	↑	ORG
m-1112	2821	1	ijo international journal of mathematics	ORG
m-1112	2821	2	2992-4421	DATE
m-1112	2821	3	08	CARDINAL
m-1112	2822	1	08	DATE
m-1112	2823	1	august 2025	DATE
m-1112	2823	2	99	CARDINAL
m-1112	2823	3	mfmf pns	LOC
m-1112	2825	1	2l	CARDINAL
m-1112	2826	1	2l	CARDINAL
m-1112	2828	1	2l	CARDINAL
m-1112	2829	1	1	CARDINAL
m-1112	2829	2	2π	CARDINAL
m-1112	2831	1	89	CARDINAL
m-1112	2832	1	64	CARDINAL
m-1112	2832	2	two	CARDINAL
m-1112	2833	1	two	CARDINAL
m-1112	2834	1	²	CARDINAL
m-1112	2835	1	² ± 2.s	CARDINAL
m-1112	2839	1	dipole ab	PERSON
m-1112	2841	1	±	CARDINAL
m-1112	2841	2	λ̅	PERSON
m-1112	2842	1	mr².w̅	PERSON
m-1112	2842	2	±	CARDINAL
m-1112	2842	3	λ̅	NORP
m-1112	2842	4	two	CARDINAL
m-1112	2844	1	|w̅ x	PERSON
m-1112	2846	1	2r	CARDINAL
m-1112	2846	2	0	CARDINAL
m-1112	2846	3	2r	CARDINAL
m-1112	2846	4	0	CARDINAL
m-1112	2847	1	two	CARDINAL
m-1112	2847	2	±	CARDINAL
m-1112	2848	1	ijo international journal of mathematics	ORG
m-1112	2848	2	2992-4421	DATE
m-1112	2848	3	08	CARDINAL
m-1112	2849	1	08	DATE
m-1112	2850	1	august 2025	DATE
m-1112	2850	2	100	CARDINAL
m-1112	2850	3	mfmf pns	LOC
m-1112	2851	1	two	CARDINAL
m-1112	2851	2	− v̅	PERSON
m-1112	2851	3	two	CARDINAL
m-1112	2851	4	two	CARDINAL
m-1112	2854	1	²	CARDINAL
m-1112	2859	1	2w̅].|s|	CARDINAL
m-1112	2860	1	²	CARDINAL
m-1112	2860	2	|w̅ x r̅|²	PERSON
m-1112	2860	3	w	GPE
m-1112	2860	4	2	CARDINAL
m-1112	2863	1	²	CARDINAL
m-1112	2863	2	²	CARDINAL
m-1112	2863	3	|w̅xr̅|²	PRODUCT
m-1112	2863	4	²	CARDINAL
m-1112	2864	1	²	CARDINAL
m-1112	2864	2	2w̅].|v̅||.r̅.	CARDINAL
m-1112	2864	3	2	CARDINAL
m-1112	2864	4	2	CARDINAL
m-1112	2864	5	2[⊕↔⊝	CARDINAL
m-1112	2864	6	2s ²	QUANTITY
m-1112	2864	7	0	CARDINAL
m-1112	2864	8	2r	CARDINAL
m-1112	2864	9	fig-16	ORG
m-1112	2864	10	17 2d	CARDINAL
m-1112	2865	1	54	CARDINAL
m-1112	2866	1	19	CARDINAL
m-1112	2866	2	rhodonea	PERSON
m-1112	2866	3	rotor`s	ORG
m-1112	2867	1	1	CARDINAL
m-1112	2867	2	⊕	GPE
m-1112	2867	3	⊕	GPE
m-1112	2869	1	2	CARDINAL
m-1112	2869	2	two	CARDINAL
m-1112	2869	3	one	CARDINAL
m-1112	2869	4	ijo international journal of mathematics	ORG
m-1112	2869	5	2992-4421	DATE
m-1112	2870	1	08	CARDINAL
m-1112	2871	1	08	DATE
m-1112	2872	1	august 2025	DATE
m-1112	2872	2	101	CARDINAL
m-1112	2872	3	mfmf pns	LOC
m-1112	2875	1	sin(c.θ	ORDINAL
m-1112	2876	1	2r+2r	CARDINAL
m-1112	2876	2	4r	CARDINAL
m-1112	2876	3	2c	CARDINAL
m-1112	2877	1	2π	CARDINAL
m-1112	2877	2	0	CARDINAL
m-1112	2877	3	2c	CARDINAL
m-1112	2877	4	cartesian	NORP
m-1112	2877	5	2(c+1	CARDINAL
m-1112	2878	1	3	CARDINAL
m-1112	2878	2	three	CARDINAL
m-1112	2878	3	two	CARDINAL
m-1112	2881	1	sin(c.θ	ORDINAL
m-1112	2881	2	2r	CARDINAL
m-1112	2882	1	6r	CARDINAL
m-1112	2882	2	2c	CARDINAL
m-1112	2883	1	2	CARDINAL
m-1112	2883	2	rd.sin φ	PERSON
m-1112	2884	1	rhodonea	PERSON
m-1112	2884	2	2r	CARDINAL
m-1112	2887	1	4	CARDINAL
m-1112	2888	1	3	CARDINAL
m-1112	2890	1	2s²=	ORG
m-1112	2890	2	3-k	QUANTITY
m-1112	2891	1	5	CARDINAL
m-1112	2893	1	8	CARDINAL
m-1112	2893	2	atom`s &compounds	ORG
m-1112	2894	1	ijo international journal of mathematics	ORG
m-1112	2894	2	2992-4421	DATE
m-1112	2894	3	08	CARDINAL
m-1112	2895	1	08	DATE
m-1112	2896	1	august 2025	DATE
m-1112	2896	2	102	CARDINAL
m-1112	2896	3	mfmf pns	LOC
m-1112	2897	1	20	CARDINAL
m-1112	2897	2	first	ORDINAL
m-1112	2897	3	4	CARDINAL
m-1112	2899	1	deka hexahedron	PERSON
m-1112	2899	2	4	CARDINAL
m-1112	2899	3	3	CARDINAL
m-1112	2899	4	2	CARDINAL
m-1112	2899	5	1	CARDINAL
m-1112	2900	1	8 2	CARDINAL
m-1112	2900	2	6	CARDINAL
m-1112	2900	3	1𝑒	CARDINAL
m-1112	2900	4	2⃡	CARDINAL
m-1112	2900	5	1𝑒	CARDINAL
m-1112	2900	6	1𝑒	CARDINAL
m-1112	2900	7	± 2 2	MONEY
m-1112	2900	8	⓪	PERSON
m-1112	2900	9	first	ORDINAL
m-1112	2900	10	zero	CARDINAL
m-1112	2900	11	1e	CARDINAL
m-1112	2900	12	first	ORDINAL
m-1112	2900	13	①	ORG
m-1112	2900	14	2	CARDINAL
m-1112	2900	15	①	ORG
m-1112	2900	16	2e	CARDINAL
m-1112	2900	17	2⃡	CARDINAL
m-1112	2900	18	1⃗	CARDINAL
m-1112	2900	19	1⃗⃖	DATE
m-1112	2900	20	nutation`s	GPE
m-1112	2901	1	mwhich	PERSON
m-1112	2902	1	2μ.b	CARDINAL
m-1112	2902	2	hbh	ORG
m-1112	2903	1	5d	CARDINAL
m-1112	2904	1	3conductors	PRODUCT
m-1112	2904	2	102	CARDINAL
m-1112	2904	3	ijo international journal of mathematics	ORG
m-1112	2904	4	2992-4421	DATE
m-1112	2904	5	08	CARDINAL
m-1112	2905	1	08	DATE
m-1112	2906	1	august 2025	DATE
m-1112	2906	2	103	CARDINAL
m-1112	2906	3	mfmf pns	LOC
m-1112	2908	1	only-three	CARDINAL
m-1112	2910	1	⊕ ↔	ORG
m-1112	2910	2	two	CARDINAL
m-1112	2912	1	⃗	ORG
m-1112	2913	1	fig-20b	DATE
m-1112	2913	2	3	CARDINAL
m-1112	2914	1	8	CARDINAL
m-1112	2915	1	⊕ 8	DATE
m-1112	2915	2	16	CARDINAL
m-1112	2915	3	1	CARDINAL
m-1112	2915	4	2	DATE
m-1112	2915	5	3	DATE
m-1112	2915	6	4	DATE
m-1112	2915	7	5	DATE
m-1112	2915	8	6	DATE
m-1112	2915	9	7	DATE
m-1112	2915	10	8 9	DATE
m-1112	2915	11	10	DATE
m-1112	2915	12	11	DATE
m-1112	2915	13	12	DATE
m-1112	2915	14	13	DATE
m-1112	2915	15	14	DATE
m-1112	2915	16	15	DATE
m-1112	2915	17	16	CARDINAL
m-1112	2915	18	16	CARDINAL
m-1112	2915	19	z-(∆d	DATE
m-1112	2915	20	abc	ORG
m-1112	2915	21	t3	ORG
m-1112	2915	22	2	CARDINAL
m-1112	2916	1	2πr	CARDINAL
m-1112	2920	1	fn̅	GPE
m-1112	2922	1	8	CARDINAL
m-1112	2926	1	3	CARDINAL
m-1112	2926	2	2	CARDINAL
m-1112	2927	1	8	CARDINAL
m-1112	2927	2	da1b	NORP
m-1112	2927	3	⊕ 8space	DATE
m-1112	2927	4	16	CARDINAL
m-1112	2927	5	1	CARDINAL
m-1112	2927	6	2	DATE
m-1112	2927	7	3	DATE
m-1112	2927	8	4	DATE
m-1112	2927	9	5	DATE
m-1112	2927	10	6	DATE
m-1112	2927	11	7	DATE
m-1112	2927	12	8 9	DATE
m-1112	2927	13	10	DATE
m-1112	2927	14	11	DATE
m-1112	2927	15	12	DATE
m-1112	2927	16	13	DATE
m-1112	2927	17	14	DATE
m-1112	2927	18	15	DATE
m-1112	2927	19	16	CARDINAL
m-1112	2927	20	ijo international journal of mathematics	ORG
m-1112	2927	21	2992-4421	DATE
m-1112	2927	22	08	CARDINAL
m-1112	2928	1	08	DATE
m-1112	2929	1	august 2025	DATE
m-1112	2929	2	104	CARDINAL
m-1112	2929	3	mfmf pns	LOC
m-1112	2932	1	16	CARDINAL
m-1112	2932	2	z-(∆d	DATE
m-1112	2933	1	88	CARDINAL
m-1112	2934	1	2r	CARDINAL
m-1112	2935	1	4.𝜋	CARDINAL
m-1112	2935	2	3	CARDINAL
m-1112	2935	3	2a²	CARDINAL
m-1112	2935	4	3,a²	CARDINAL
m-1112	2935	5	√3 = d.,√3	PERSON
m-1112	2935	6	3	CARDINAL
m-1112	2935	7	3	CARDINAL
m-1112	2935	8	2√3,r 3	DATE
m-1112	2935	9	8	CARDINAL
m-1112	2935	10	0	CARDINAL
m-1112	2935	11	𝐙 𝟎	PRODUCT
m-1112	2935	12	− a. 2	PERSON
m-1112	2936	1	− a. 2	PERSON
m-1112	2936	2	𝟓	CARDINAL
m-1112	2936	3	− a. 2	PERSON
m-1112	2936	4	𝟓	CARDINAL
m-1112	2936	5	− a. 2	PERSON
m-1112	2936	6	− a. 2	PERSON
m-1112	2936	7	𝟔	CARDINAL
m-1112	2937	1	− a. 2	PERSON
m-1112	2937	2	𝟖	CARDINAL
m-1112	2937	3	𝟖	CARDINAL
m-1112	2937	4	𝟖	CARDINAL
m-1112	2937	5	three	CARDINAL
m-1112	2937	6	𝟏−𝟕	CARDINAL
m-1112	2937	7	3	CARDINAL
m-1112	2939	1	𝟏−𝟕	CARDINAL
m-1112	2940	1	1-8	CARDINAL
m-1112	2941	1	2-5	CARDINAL
m-1112	2941	2	3-6	CARDINAL
m-1112	2941	3	4	CARDINAL
m-1112	2941	4	4	CARDINAL
m-1112	2941	5	3	CARDINAL
m-1112	2941	6	3	CARDINAL
m-1112	2942	1	𝐏𝟐	PRODUCT
m-1112	2943	1	𝐏𝟕 𝐏𝟖	CARDINAL
m-1112	2943	2	o	DATE
m-1112	2944	1	2	CARDINAL
m-1112	2945	1	1	CARDINAL
m-1112	2945	2	1	CARDINAL
m-1112	2945	3	1	CARDINAL
m-1112	2945	4	1	CARDINAL
m-1112	2945	5	-1	ORG
m-1112	2945	6	2	CARDINAL
m-1112	2945	7	2	CARDINAL
m-1112	2945	8	2	CARDINAL
m-1112	2945	9	2	CARDINAL
m-1112	2945	10	2	CARDINAL
m-1112	2945	11	3	CARDINAL
m-1112	2945	12	3	CARDINAL
m-1112	2945	13	3	CARDINAL
m-1112	2945	14	3	CARDINAL
m-1112	2945	15	4	CARDINAL
m-1112	2945	16	4	CARDINAL
m-1112	2945	17	4	CARDINAL
m-1112	2945	18	4	CARDINAL
m-1112	2945	19	4	CARDINAL
m-1112	2945	20	5	CARDINAL
m-1112	2945	21	5	CARDINAL
m-1112	2945	22	5	CARDINAL
m-1112	2945	23	5	CARDINAL
m-1112	2945	24	6	CARDINAL
m-1112	2945	25	6	CARDINAL
m-1112	2945	26	6	CARDINAL
m-1112	2945	27	6	CARDINAL
m-1112	2945	28	6	CARDINAL
m-1112	2945	29	7	CARDINAL
m-1112	2945	30	7	CARDINAL
m-1112	2945	31	7	CARDINAL
m-1112	2945	32	7	CARDINAL
m-1112	2946	1	8	CARDINAL
m-1112	2946	2	8	CARDINAL
m-1112	2946	3	8	CARDINAL
m-1112	2946	4	8	CARDINAL
m-1112	2946	5	8	CARDINAL
m-1112	2946	6	4	CARDINAL
m-1112	2947	1	4	CARDINAL
m-1112	2947	2	𝐒𝐧	PERSON
m-1112	2947	3	𝐒𝐧	PERSON
m-1112	2948	1	± √	QUANTITY
m-1112	2948	2	1 ≈	QUANTITY
m-1112	2948	3	3	CARDINAL
m-1112	2948	4	ijo international journal of mathematics	ORG
m-1112	2948	5	2992-4421	DATE
m-1112	2948	6	08	CARDINAL
m-1112	2949	1	08	DATE
m-1112	2950	1	august 2025	DATE
m-1112	2950	2	105	CARDINAL
m-1112	2950	3	mfmf pns	LOC
m-1112	2951	1	3	CARDINAL
m-1112	2952	1	3 and ± √ oz̅̅̅̅	QUANTITY
m-1112	2953	1	4 and ± √ oz̅̅̅̅ 𝑛=4 5 	QUANTITY
m-1112	2953	2	pentagon	ORG
m-1112	2954	1	5 and ± √ oz̅̅̅̅	QUANTITY
m-1112	2954	2	6	CARDINAL
m-1112	2955	1	6 and ± √ oz̅̅̅̅	QUANTITY
m-1112	2956	1	7 and	QUANTITY
m-1112	2957	1	8 and ±	QUANTITY
m-1112	2957	2	poly-9rd degree	PERSON
m-1112	2958	1	9 and ± √ oz̅̅̅̅	QUANTITY
m-1112	2959	1	1	CARDINAL
m-1112	2959	2	≡ qua ≡	ORG
m-1112	2960	1	2	CARDINAL
m-1112	2960	2	{qua} ≡	PERSON
m-1112	2964	1	2	CARDINAL
m-1112	2965	1	2.9982.108	CARDINAL
m-1112	2965	2	1,58.10−19 coulomb	CARDINAL
m-1112	2966	1	3	CARDINAL
m-1112	2966	2	3	CARDINAL
m-1112	2966	3	7,593.1035	CARDINAL
m-1112	2967	1	three	CARDINAL
m-1112	2967	2	3	CARDINAL
m-1112	2969	1	2s²=	ORG
m-1112	2969	2	101	CARDINAL
m-1112	2969	3	6d	CARDINAL
m-1112	2969	4	kb kc	PERSON
m-1112	2969	5	kc ka	PERSON
m-1112	2969	6	kb	ORG
m-1112	2969	7	2	CARDINAL
m-1112	2970	1	k=da	PERSON
m-1112	2970	2	bc	ORG
m-1112	2970	3	c+a−b	ORG
m-1112	2970	4	ab a+b−c	ORG
m-1112	2970	5	c+a−b	ORG
m-1112	2971	1	fig-17	ORG
m-1112	2973	1	oc`≡ oce	PERSON
m-1112	2974	1	ada-apa	PERSON
m-1112	2974	2	cdc	ORG
m-1112	2974	3	the ijo international journal of mathematics	ORG
m-1112	2974	4	2992-4421	DATE
m-1112	2974	5	08	CARDINAL
m-1112	2975	1	08	DATE
m-1112	2976	1	august 2025	DATE
m-1112	2977	1	106	CARDINAL
m-1112	2977	2	mfmf pns	LOC
m-1112	2978	1	±	CARDINAL
m-1112	2978	2	±	CARDINAL
m-1112	2978	3	euler savary coupler	PERSON
m-1112	2980	1	91	CARDINAL
m-1112	2980	2	fig-26	GPE
m-1112	2980	3	fig-28-30	DATE
m-1112	2981	1	three	CARDINAL
m-1112	2981	2	two	CARDINAL
m-1112	2982	1	+ w ²	QUANTITY
m-1112	2982	2	0	CARDINAL
m-1112	2984	1	83	CARDINAL
m-1112	2984	2	90⁰	CARDINAL
m-1112	2984	3	eight	CARDINAL
m-1112	2985	1	0⁰	CARDINAL
m-1112	2985	2	∝	ORG
m-1112	2986	1	45⁰	CARDINAL
m-1112	2988	1	73	CARDINAL
m-1112	2988	2	1	CARDINAL
m-1112	2988	3	1	CARDINAL
m-1112	2988	4	84	CARDINAL
m-1112	2991	1	86	CARDINAL
m-1112	2991	2	2	CARDINAL
m-1112	2991	3	2	CARDINAL
m-1112	2991	4	3	CARDINAL
m-1112	2991	5	3	CARDINAL
m-1112	2992	1	1	CARDINAL
m-1112	2993	1	31	CARDINAL
m-1112	2993	2	two	CARDINAL
m-1112	2993	3	10	CARDINAL
m-1112	3004	1	w. lv	PERSON
m-1112	3007	1	10	CARDINAL
m-1112	3007	2	± ∞	QUANTITY
m-1112	3008	1	10	CARDINAL
m-1112	3009	1	1 .10	CARDINAL
m-1112	3009	2	6	CARDINAL
m-1112	3009	3	±	CARDINAL
m-1112	3010	1	1,78118	CARDINAL
m-1112	3010	2	7	CARDINAL
m-1112	3010	3	10	CARDINAL
m-1112	3010	4	16,1181	CARDINAL
m-1112	3010	5	1 .10	CARDINAL
m-1112	3010	6	7	CARDINAL
m-1112	3010	7	1,07.𝟏𝟎−𝟕	CARDINAL
m-1112	3010	8	m.	PERSON
m-1112	3010	9	1	CARDINAL
m-1112	3010	10	1	CARDINAL
m-1112	3010	11	8,0647139.1020	CARDINAL
m-1112	3010	12	2,839844	CARDINAL
m-1112	3010	13	4	CARDINAL
m-1112	3010	14	7d	CARDINAL
m-1112	3010	15	evolute	ORG
m-1112	3011	1	evolute	NORP
m-1112	3011	2	one	CARDINAL
m-1112	3012	1	ijo international journal of mathematics	ORG
m-1112	3012	2	2992-4421	DATE
m-1112	3012	3	08	CARDINAL
m-1112	3013	1	08	DATE
m-1112	3014	1	august 2025	DATE
m-1112	3014	2	107	CARDINAL
m-1112	3014	3	mfmf pns	LOC
m-1112	3016	1	25	CARDINAL
m-1112	3018	1	quanta	GPE
m-1112	3019	1	three	CARDINAL
m-1112	3020	1	60	CARDINAL
m-1112	3022	1	f-23	DATE
m-1112	3024	1	⊕	GPE
m-1112	3028	1	2 σ	CARDINAL
m-1112	3029	1	58	CARDINAL
m-1112	3029	2	three	CARDINAL
m-1112	3029	3	three	CARDINAL
m-1112	3029	4	6	CARDINAL
m-1112	3030	1	3	CARDINAL
m-1112	3030	2	18	CARDINAL
m-1112	3035	1	bka |x| cka ckb	PERSON
m-1112	3039	1	ijo international journal of mathematics	ORG
m-1112	3039	2	2992-4421	DATE
m-1112	3039	3	08	CARDINAL
m-1112	3040	1	08	DATE
m-1112	3041	1	august 2025	DATE
m-1112	3041	2	108	CARDINAL
m-1112	3041	3	mfmf pns	LOC
m-1112	3042	1	8d	CARDINAL
m-1112	3044	1	-26	PERSON
m-1112	3044	2	⊕	GPE
m-1112	3045	1	kb kc	PERSON
m-1112	3047	1	first	ORDINAL
m-1112	3047	2	2e	CARDINAL
m-1112	3048	1	ceba`s energy triangle	ORG
m-1112	3050	1	60	CARDINAL
m-1112	3052	1	⊕	GPE
m-1112	3056	1	2 σ	CARDINAL
m-1112	3057	1	58	CARDINAL
m-1112	3059	1	three	CARDINAL
m-1112	3059	2	three	CARDINAL
m-1112	3059	3	6	CARDINAL
m-1112	3060	1	3	CARDINAL
m-1112	3060	2	18	CARDINAL
m-1112	3065	1	bka |x| cka ckb	PERSON
m-1112	3065	2	1	CARDINAL
m-1112	3068	1	7	CARDINAL
m-1112	3068	2	centrifugal force	ORG
m-1112	3069	1	ijo international journal of mathematics	ORG
m-1112	3069	2	2992-4421	DATE
m-1112	3069	3	08	CARDINAL
m-1112	3070	1	08	DATE
m-1112	3071	1	august 2025	DATE
m-1112	3071	2	109	CARDINAL
m-1112	3071	3	mfmf pns	LOC
m-1112	3075	1	²	CARDINAL
m-1112	3075	2	𝐫²	DATE
m-1112	3075	3	2	CARDINAL
m-1112	3075	4	95	CARDINAL
m-1112	3078	1	² |	TIME
m-1112	3079	1	1,7724538.10−3	CARDINAL
m-1112	3081	1	2,998.108].[1,0546.10−34]j	CARDINAL
m-1112	3081	2	1,7724538.10−3	CARDINAL
m-1112	3081	3	²	CARDINAL
m-1112	3081	4	1,6022.10−19	CARDINAL
m-1112	3082	1	1,41429.2,9979346.108	CARDINAL
m-1112	3082	2	1,574.10−19	CARDINAL
m-1112	3085	1	2,998.108].[6,62606957.10−34	CARDINAL
m-1112	3085	2	²	CARDINAL
m-1112	3086	1	10−11	CARDINAL
m-1112	3090	1	the spring	DATE
m-1112	3092	1	2	CARDINAL
m-1112	3092	2	1	CARDINAL
m-1112	3092	3	0	CARDINAL
m-1112	3092	4	3	CARDINAL
m-1112	3093	1	4	CARDINAL
m-1112	3094	1	𝐒𝐧	PERSON
m-1112	3094	2	𝐒𝐧	PERSON
m-1112	3095	1	± √	QUANTITY
m-1112	3095	2	1 ≈	QUANTITY
m-1112	3095	3	²𝐧	CARDINAL
m-1112	3095	4	4	CARDINAL
m-1112	3096	1	4	CARDINAL
m-1112	3096	2	1	CARDINAL
m-1112	3097	1	2	CARDINAL
m-1112	3098	1	3	CARDINAL
m-1112	3098	2	4	CARDINAL
m-1112	3098	3	4.n	CARDINAL
m-1112	3098	4	4.n	CARDINAL
m-1112	3099	1	5	CARDINAL
m-1112	3099	2	4	CARDINAL
m-1112	3099	3	ijo international journal of mathematics	ORG
m-1112	3099	4	2992-4421	DATE
m-1112	3099	5	08	CARDINAL
m-1112	3100	1	08	DATE
m-1112	3101	1	august 2025	DATE
m-1112	3101	2	110	CARDINAL
m-1112	3101	3	mfmf pns	LOC
m-1112	3102	1	4.n	CARDINAL
m-1112	3103	1	4.n	CARDINAL
m-1112	3104	1	6	CARDINAL
m-1112	3105	1	9d	CARDINAL
m-1112	3106	1	89	CARDINAL
m-1112	3106	2	figure-27	PERSON
m-1112	3106	3	⊕	GPE
m-1112	3106	4	three	CARDINAL
m-1112	3106	5	⊕	GPE
m-1112	3109	1	two	CARDINAL
m-1112	3109	2	one	CARDINAL
m-1112	3112	1	mass mt	GPE
m-1112	3112	2	1	CARDINAL
m-1112	3112	3	1 mu + 1 mu + 1	QUANTITY
m-1112	3112	4	md	GPE
m-1112	3112	5	2.qu	CARDINAL
m-1112	3112	6	2.(2/3).e	CARDINAL
m-1112	3112	7	1/3	CARDINAL
m-1112	3114	1	+ 1	DATE
m-1112	3114	2	6022.10−19	CARDINAL
m-1112	3114	3	2	CARDINAL
m-1112	3114	4	2.qu + qd	DATE
m-1112	3114	5	kepler	ORG
m-1112	3114	6	second	ORDINAL
m-1112	3114	7	4	CARDINAL
m-1112	3114	8	1	CARDINAL
m-1112	3115	1	the ijo international journal of mathematics	ORG
m-1112	3115	2	2992-4421	DATE
m-1112	3115	3	08	CARDINAL
m-1112	3116	1	08	DATE
m-1112	3117	1	august 2025	DATE
m-1112	3117	2	111	CARDINAL
m-1112	3117	3	mfmf pns	LOC
m-1112	3118	1	4	CARDINAL
m-1112	3118	2	²p	PRODUCT
m-1112	3118	3	1	CARDINAL
m-1112	3118	4	²𝐩	CARDINAL
m-1112	3118	5	1 4π²ma3	CARDINAL
m-1112	3119	1	√ 1	DATE
m-1112	3119	2	4	CARDINAL
m-1112	3121	1	1,672.10−27 kg	QUANTITY
m-1112	3122	1	1,602.10−19	CARDINAL
m-1112	3122	2	8,4.10−16	CARDINAL
m-1112	3122	3	9,11.10−31 kg	QUANTITY
m-1112	3123	1	1,602.10−19	CARDINAL
m-1112	3123	2	5,0.10−17	CARDINAL
m-1112	3123	3	1,672.10−27 kg	QUANTITY
m-1112	3123	4	0	CARDINAL
m-1112	3123	5	0	CARDINAL
m-1112	3123	6	2.mu	CARDINAL
m-1112	3123	7	3.mu	CARDINAL
m-1112	3123	8	1,672.10−27 kg	QUANTITY
m-1112	3123	9	quark	NORP
m-1112	3123	10	5,573.10−28 kg	QUANTITY
m-1112	3123	11	1	CARDINAL
m-1112	3123	12	1 mu + 1 mu + 1	QUANTITY
m-1112	3123	13	3	CARDINAL
m-1112	3123	14	+ 2.3	PERSON
m-1112	3124	1	9	CARDINAL
m-1112	3124	2	1,857777.10−28 kg	QUANTITY
m-1112	3125	1	2.qu +	DATE
m-1112	3125	2	2	CARDINAL
m-1112	3125	3	2 3	CARDINAL
m-1112	3126	1	1,602	CARDINAL
m-1112	3127	1	10−19	CARDINAL
m-1112	3127	2	𝐂𝐪𝐮 =	PERSON
m-1112	3127	3	2 3	CARDINAL
m-1112	3127	4	1 3	CARDINAL
m-1112	3127	5	2.qu + qd	DATE
m-1112	3127	6	3.q	CARDINAL
m-1112	3128	1	3	CARDINAL
m-1112	3128	2	1,602.10−19	CARDINAL
m-1112	3129	1	4	CARDINAL
m-1112	3129	2	4	CARDINAL
m-1112	3129	3	5,26241.1017	CARDINAL
m-1112	3129	4	the united	ORG
m-1112	3130	1	2𝜋.1,85777.10−285,262409.1017 1,6022.10−19	CARDINAL
m-1112	3131	1	3,83389.109	CARDINAL
m-1112	3131	2	ten-thousands	CARDINAL
m-1112	3133	1	2	CARDINAL
m-1112	3133	2	8,9875.109(nm2	CARDINAL
m-1112	3134	1	2 9	CARDINAL
m-1112	3134	2	1,602.10−19	CARDINAL
m-1112	3134	3	10−16)²	CARDINAL
m-1112	3134	4	1,997222.10	CARDINAL
m-1112	3134	5	2	CARDINAL
m-1112	3134	6	8,9875.109(nm2	CARDINAL
m-1112	3135	1	2 9	CARDINAL
m-1112	3135	2	1,602.10−19	CARDINAL
m-1112	3135	3	10−16)²	CARDINAL
m-1112	3135	4	6 n	QUANTITY
m-1112	3135	5	2.qd	CARDINAL
m-1112	3135	6	2	CARDINAL
m-1112	3135	7	1 3	CARDINAL
m-1112	3135	8	0.e	CARDINAL
m-1112	3136	1	ijo international journal of mathematics	ORG
m-1112	3136	2	2992-4421	DATE
m-1112	3136	3	08	CARDINAL
m-1112	3137	1	08	DATE
m-1112	3138	1	august 2025	DATE
m-1112	3138	2	112	CARDINAL
m-1112	3138	3	mfmf pns	LOC
m-1112	3139	1	1	CARDINAL
m-1112	3139	2	3,11	CARDINAL
m-1112	3140	1	mev	PERSON
m-1112	3140	2	1,8.10−28	CARDINAL
m-1112	3140	3	5	CARDINAL
m-1112	3140	4	598	CARDINAL
m-1112	3141	1	7,0.10−21	CARDINAL
m-1112	3143	1	5,6.10−34	CARDINAL
m-1112	3144	1	1017].1,6022.10−19	CARDINAL
m-1112	3144	2	8,96912.10−36	CARDINAL
m-1112	3144	3	13,536244	CARDINAL
m-1112	3145	1	√ 1	DATE
m-1112	3145	2	2	CARDINAL
m-1112	3145	3	5,347345.𝟏𝟎𝟑𝟎	CARDINAL
m-1112	3145	4	s.	PERSON
m-1112	3145	5	5,347.1030	CARDINAL
m-1112	3145	6	𝟐	NORP
m-1112	3145	7	36.10−20	CARDINAL
m-1112	3145	8	51,428	CARDINAL
m-1112	3145	9	2,528774.1017ev	CARDINAL
m-1112	3145	10	252,8774	CARDINAL
m-1112	3145	11	1015	CARDINAL
m-1112	3146	1	2	CARDINAL
m-1112	3146	2	0	CARDINAL
m-1112	3146	3	511mev	CARDINAL
m-1112	3146	4	0	CARDINAL
m-1112	3147	1	1,80	CARDINAL
m-1112	3148	1	10−27	CARDINAL
m-1112	3150	1	9,198.10−31 kg	QUANTITY
m-1112	3152	1	5,0.10−18	CARDINAL
m-1112	3152	2	1,602.10−19	CARDINAL
m-1112	3152	3	2	CARDINAL
m-1112	3153	1	2,845976.10−34{kg	CARDINAL
m-1112	3153	2	5.10−18	CARDINAL
m-1112	3154	1	2	CARDINAL
m-1112	3154	2	5.10−18)³ 2	CARDINAL
m-1112	3154	3	2,801114.10 26	DATE
m-1112	3155	1	𝟐	NORP
m-1112	3155	2	36.10−20	CARDINAL
m-1112	3156	1	51,428	CARDINAL
m-1112	3157	1	+ 2,111843.1010j	CARDINAL
m-1112	3157	2	51,43 ev+	DATE
m-1112	3158	1	.1029	ORG
m-1112	3158	2	133 gr	QUANTITY
m-1112	3158	3	1 meter	QUANTITY
m-1112	3159	1	1	CARDINAL
m-1112	3159	2	2πrf	CARDINAL
m-1112	3159	3	𝐀 𝚽 ] ≡ σ.φ³ ≡ φ ²	ORG
m-1112	3160	1	σ φ	PERSON
m-1112	3161	1	2πfp	CARDINAL
m-1112	3161	2	≡ w	ORG
m-1112	3161	3	≡ v̅ ≡	ORG
m-1112	3161	4	2.b	CARDINAL
m-1112	3161	5	w	GPE
m-1112	3161	6	1	CARDINAL
m-1112	3162	1	φ	ORG
m-1112	3163	1	markos 9/4/2020.	PERSON
m-1112	3164	1	φ	ORG
m-1112	3164	2	2πrf	CARDINAL
m-1112	3173	1	²	CARDINAL
m-1112	3174	1	² ± 2.s	CARDINAL
m-1112	3177	1	polygon	ORG
m-1112	3178	1	4	CARDINAL
m-1112	3179	1	2r	CARDINAL
m-1112	3180	1	2r	CARDINAL
m-1112	3180	2	2rmonad	CARDINAL
m-1112	3182	1	ijo international journal of mathematics	ORG
m-1112	3182	2	2992-4421	DATE
m-1112	3182	3	08	CARDINAL
m-1112	3183	1	08	DATE
m-1112	3184	1	august 2025	DATE
m-1112	3184	2	113	CARDINAL
m-1112	3184	3	mfmf pns	LOC
m-1112	3185	1	≡ qua ≡	ORG
m-1112	3185	2	2rmonad	CARDINAL
m-1112	3186	1	⇅	LAW
m-1112	3187	1	1	CARDINAL
m-1112	3187	2	-28	PERSON
m-1112	3187	3	↔	ORG
m-1112	3187	4	4	CARDINAL
m-1112	3188	1	1	CARDINAL
m-1112	3188	2	j.l.meek library of	ORG
m-1112	3188	3	congress	ORG
m-1112	3188	4	1971	DATE
m-1112	3189	1	2	CARDINAL
m-1112	3189	2	der zweck	PERSON
m-1112	3189	3	rudolf v. jhering 1935	PERSON
m-1112	3190	1	3	CARDINAL
m-1112	3190	2	j. l.heisenberg	PERSON
m-1112	3190	3	1883-1886	DATE
m-1112	3190	4	english	NORP
m-1112	3190	5	richard fitzpatrick	PERSON
m-1112	3190	6	4	CARDINAL
m-1112	3190	7	1	CARDINAL
m-1112	3191	1	5	CARDINAL
m-1112	3192	1	6	CARDINAL
m-1112	3192	2	greek	NORP
m-1112	3192	3	thomas	PERSON
m-1112	3192	4	dover publications, inc	ORG
m-1112	3192	5	new york	GPE
m-1112	3193	1	63-3571	DATE
m-1112	3193	2	7	CARDINAL
m-1112	3193	3	william t. thomson	PERSON
m-1112	3193	4	fourth	ORDINAL
m-1112	3194	1	8	CARDINAL
m-1112	3194	2	http://www.scribd.com/mobile/doc/33887739	ORG
m-1112	3195	1	9	CARDINAL
m-1112	3195	2	10	CARDINAL
m-1112	3195	3	heptagon	ORG
m-1112	3196	1	11	CARDINAL
m-1112	3197	1	12	CARDINAL
m-1112	3197	2	13	CARDINAL
m-1112	3197	3	http://www.vixra.org/pdf/1310.0146v1.pdf ijo international journal of mathematics	ORG
m-1112	3197	4	2992-4421	DATE
m-1112	3198	1	08	CARDINAL
m-1112	3199	1	08	DATE
m-1112	3200	1	august 2025	DATE
m-1112	3201	1	114	CARDINAL
m-1112	3201	2	mfmf pns	LOC
m-1112	3202	1	14	CARDINAL
m-1112	3202	2	spring	DATE
m-1112	3202	3	http://www.scribd.com/mobile/doc/57533734	ORG
m-1112	3203	1	15	CARDINAL
m-1112	3203	2	zeno`s	NORP
m-1112	3204	1	16	CARDINAL
m-1112	3205	1	florentine smarandashe	PERSON
m-1112	3205	2	17	CARDINAL
m-1112	3205	3	six	CARDINAL
m-1112	3205	4	18	CARDINAL
m-1112	3205	5	19	CARDINAL
m-1112	3205	6	http://www.scribd.com/mobile/doc/105109978	ORG
m-1112	3205	7	20	CARDINAL
m-1112	3205	8	http://vixra.org/abs/1209.0081	GPE
m-1112	3206	1	21	CARDINAL
m-1112	3207	1	22	CARDINAL
m-1112	3207	2	23	CARDINAL
m-1112	3208	1	24	CARDINAL
m-1112	3208	2	25	CARDINAL
m-1112	3209	1	26	CARDINAL
m-1112	3209	2	27	CARDINAL
m-1112	3209	3	http://vixra.org/abs/1404.0023	ORG
m-1112	3209	4	28	CARDINAL
m-1112	3210	1	http:/vixra.org/abs/1406.0063	ORG
m-1112	3210	2	29	CARDINAL
m-1112	3211	1	30	CARDINAL
m-1112	3212	1	31	CARDINAL
m-1112	3213	1	32	CARDINAL
m-1112	3214	1	33	CARDINAL
m-1112	3215	1	scribd & vixra	ORG
m-1112	3215	2	34	CARDINAL
m-1112	3216	1	ijpst14-082601	ORG
m-1112	3217	1	35	CARDINAL
m-1112	3218	1	36	CARDINAL
m-1112	3218	2	.ijesit.com	ORG
m-1112	3218	3	1491	CARDINAL
m-1112	3218	4	37	CARDINAL
m-1112	3218	5	294	CARDINAL
m-1112	3220	1	38	CARDINAL
m-1112	3220	2	four	CARDINAL
m-1112	3220	3	american	NORP
m-1112	3220	4	1800978	DATE
m-1112	3221	1	39	CARDINAL
m-1112	3221	2	american	NORP
m-1112	3221	3	1221001	DATE
m-1112	3222	1	40	CARDINAL
m-1112	3223	1	15	CARDINAL
m-1112	3223	2	3	CARDINAL
m-1112	3223	3	1.0	CARDINAL
m-1112	3223	4	41	CARDINAL
m-1112	3224	1	42	CARDINAL
m-1112	3225	1	https://www.scribd.com/doc/267917624	CARDINAL
m-1112	3226	1	43	CARDINAL
m-1112	3227	1	american	NORP
m-1112	3227	2	modern ijo international journal of mathematics	ORG
m-1112	3227	3	2992-4421	DATE
m-1112	3227	4	08	CARDINAL
m-1112	3228	1	08	DATE
m-1112	3229	1	august 2025	DATE
m-1112	3229	2	ijo	ORG
m-1112	3229	3	http://www.scribd.com/mobile/doc/57533734 http://www.scribd.com/mobile/doc/59304295	ORG
m-1112	3229	4	http://vixra.org/abs/1404.0023	GPE
m-1112	3231	1	115	CARDINAL
m-1112	3231	2	mfmf pns	LOC
m-1112	3232	1	622012001	DATE
m-1112	3233	1	44	CARDINAL
m-1112	3233	2	four	CARDINAL
m-1112	3236	1	45	CARDINAL
m-1112	3236	2	46	CARDINAL
m-1112	3237	1	47	CARDINAL
m-1112	3238	1	greek	NORP
m-1112	3239	1	48	CARDINAL
m-1112	3242	1	49	CARDINAL
m-1112	3242	2	51	CARDINAL
m-1112	3242	3	½ -1	ORG
m-1112	3243	1	50	CARDINAL
m-1112	3244	1	greek	NORP
m-1112	3244	2	paper/3068.iso 9001	EVENT
m-1112	3245	1	51	CARDINAL
m-1112	3245	2	ancient-greek	NORP
m-1112	3248	1	52	CARDINAL
m-1112	3248	2	4	CARDINAL
m-1112	3248	3	2	CARDINAL
m-1112	3248	4	53	CARDINAL
m-1112	3249	1	54	CARDINAL
m-1112	3250	1	54	CARDINAL
m-1112	3252	1	55	CARDINAL
m-1112	3252	2	particles & physics	ORG
m-1112	3253	1	56	CARDINAL
m-1112	3254	1	www.technicaldean.org	ORG
m-1112	3255	1	57	CARDINAL
m-1112	3256	1	58	CARDINAL
m-1112	3256	2	59	CARDINAL
m-1112	3258	1	60	CARDINAL
m-1112	3259	1	61	CARDINAL
m-1112	3259	2	61	CARDINAL
m-1112	3261	1	62	CARDINAL
m-1112	3263	1	62	CARDINAL
m-1112	3263	2	greek	NORP
m-1112	3264	1	63	CARDINAL
m-1112	3264	2	greek	NORP
m-1112	3266	1	63	CARDINAL
m-1112	3266	2	greek	NORP
m-1112	3268	1	63	CARDINAL
m-1112	3269	1	ijo international journal of mathematics	ORG
m-1112	3269	2	2992-4421	DATE
m-1112	3269	3	08	CARDINAL
m-1112	3270	1	08	DATE
m-1112	3271	1	august 2025	DATE
m-1112	3272	1	http://www.sciencepublishinggroup.com/j	CARDINAL
m-1112	3272	2	http://ijemcs.in/ http://www.iosrjournals.org/ http://ephjournal.com/	ORG
m-1112	3272	3	116	CARDINAL
m-1112	3272	4	mfmf pns	LOC
m-1112	3273	1	greek	NORP
m-1112	3275	1	64	CARDINAL
m-1112	3278	1	64	CARDINAL
m-1112	3279	1	65	CARDINAL
m-1112	3281	1	66	CARDINAL
m-1112	3283	1	67	CARDINAL
m-1112	3284	1	http://vixra.org/.	PERSON
m-1112	3285	1	68	CARDINAL
m-1112	3286	1	69	CARDINAL
m-1112	3288	1	70	CARDINAL
m-1112	3289	1	70	CARDINAL
m-1112	3289	2	70	CARDINAL
m-1112	3291	1	71	CARDINAL
m-1112	3293	1	72	CARDINAL
m-1112	3294	1	mailto:editorusa@globaljournals.org	ORG
m-1112	3296	1	73	CARDINAL
m-1112	3298	1	74	CARDINAL
m-1112	3301	1	75	CARDINAL
m-1112	3303	1	76	CARDINAL
m-1112	3304	1	principia http://www.i-b-r.org	PERSON
m-1112	3305	1	76a	CARDINAL
m-1112	3305	2	.http://www.i-b-r.org	ORG
m-1112	3306	1	77	CARDINAL
m-1112	3309	1	79	CARDINAL
m-1112	3311	1	80	CARDINAL
m-1112	3313	1	81	CARDINAL
m-1112	3314	1	82	CARDINAL
m-1112	3315	1	83	CARDINAL
m-1112	3316	1	1.html	CARDINAL
m-1112	3318	1	1.html	CARDINAL
m-1112	3318	2	84	CARDINAL
m-1112	3320	1	85	CARDINAL
m-1112	3321	1	86	CARDINAL
m-1112	3321	2	ijo international journal of mathematics	ORG
m-1112	3321	3	2992-4421	DATE
m-1112	3321	4	08	CARDINAL
m-1112	3322	1	08	DATE
m-1112	3323	1	august 2025	DATE
m-1112	3324	1	http://vixra.org/ http://vixra.org/ http://www.ijrdo.org/ http://www.ajer.org/ http://vixra.org/ http://science/ http://www.ijrdo.org/ http://science/	PERSON
m-1112	3325	1	mailto:editorusa@globaljournals.org	ORG
m-1112	3326	1	117	CARDINAL
m-1112	3326	2	mfmf pns	LOC
m-1112	3328	1	87	CARDINAL
m-1112	3329	1	87	CARDINAL
m-1112	3332	1	88	CARDINAL
m-1112	3335	1	90	CARDINAL
m-1112	3337	1	91	CARDINAL
m-1112	3339	1	92	CARDINAL
m-1112	3342	1	93	CARDINAL
m-1112	3344	1	94	CARDINAL
m-1112	3346	1	95	CARDINAL
m-1112	3347	1	2021	CARDINAL
m-1112	3348	1	294	CARDINAL
m-1112	3348	2	95	CARDINAL
m-1112	3349	1	96	CARDINAL
m-1112	3350	1	97a	CARDINAL
m-1112	3350	2	http://science mpg ≡ markos	ORG
m-1112	3352	1	greek	NORP
m-1112	3354	1	98b	CARDINAL
m-1112	3357	1	dragan miljak	PERSON
m-1112	3358	1	99aaa	CARDINAL
m-1112	3361	1	99ccc	CARDINAL
m-1112	3362	1	4	CARDINAL
m-1112	3363	1	georgallides ijo international journal of mathematics	ORG
m-1112	3363	2	2992-4421	DATE
m-1112	3363	3	08	CARDINAL
m-1112	3364	1	08	DATE
m-1112	3365	1	august 2025	DATE
m-1112	3366	1	118	CARDINAL
m-1112	3366	2	mfmf pns	LOC
m-1112	3367	1	99	CARDINAL
m-1112	3367	2	100	CARDINAL
m-1112	3368	1	101	CARDINAL
m-1112	3369	1	102	CARDINAL
m-1112	3371	1	103	CARDINAL
m-1112	3372	1	104	CARDINAL
m-1112	3372	2	105	CARDINAL
m-1112	3374	1	106	CARDINAL
m-1112	3374	2	106	CARDINAL
m-1112	3376	1	107	CARDINAL
m-1112	3377	1	107	CARDINAL
m-1112	3378	1	108	CARDINAL
m-1112	3380	1	109	CARDINAL
m-1112	3380	2	the black -holes	PERSON
m-1112	3380	3	110	CARDINAL
m-1112	3381	1	111	CARDINAL
m-1112	3383	1	http://science mpg ≡ markos	ORG
m-1112	3383	2	112	CARDINAL
m-1112	3384	1	http://science mpg ≡ markos	ORG
m-1112	3384	2	113	CARDINAL
m-1112	3386	1	markos georgallides	PERSON
m-1112	3386	2	larnaca	GPE
m-1112	3386	3	famagusta	ORG
m-1112	3386	4	turks	NORP
m-1112	3386	5	august 1974	DATE
m-1112	3389	1	athens	GPE
m-1112	3389	2	polytechnic university	ORG
m-1112	3389	3	germany	GPE
m-1112	3390	1	ijo international journal of mathematics	ORG
m-1112	3390	2	2992-4421	DATE
m-1112	3390	3	08	CARDINAL
m-1112	3391	1	08	DATE
m-1112	3392	1	august 2025	DATE