g√2k+1(ﾀﾞｰｸﾏﾀｰ?)

/9.8ｶﾞｳｽ)	⋍	(⋆-1)x10	;	√2k+1		⋍1	⋍	g√2k+1	;	文献値
1.053565	⋍	0.53565	;	1.732051	/	0.309258	⋍	16.9741	;	14.13472
1.175484	⋍	1.754839	;	2.236068	/	0.784788	⋍	21.91347	;	21.02203
1.247042	⋍	2.470417	;	2.645751	/	0.93373	⋍	25.92836	;	25.01085
1.297879	⋍	2.978791	;	3	/	0.99293	⋍	29.4	;	30.42487
1.337339	⋍	3.373395	;	3.316625	/	1.017117	⋍	32.50292	;	32.93506
1.369595	⋍	3.695952	;	3.605551	/	1.025073	⋍	35.3344	;	37.58617
1.396875	⋍	3.968753	;	3.872983	/	1.024728	⋍	37.95524	;	37.58617
1.420512	⋍	4.205117	;	4.123106	/	1.019891	⋍	40.40644	;	40.91871
1.441364	⋍	4.41364	;	4.358899	/	1.012558	⋍	42.71721	;	43.32707
1.460019	⋍	4.600195	;	4.582576	/	1.003845	⋍	44.90924	;	43.32707
1.476897	⋍	4.768972	;	4.795832	/	0.994399	⋍	46.99915	;	48.00515
1.492307	⋍	4.923068	;	5	/	0.984614	⋍	49	;	49.77383
1.506483	⋍	5.064833	;	5.196152	/	0.974728	⋍	50.92229	;	49.77383
1.519609	⋍	5.196095	;	5.385165	/	0.964891	⋍	52.77462	;	52.97
1.53183	⋍	5.318304	;	5.567764	/	0.955196	⋍	54.56409	;	56.446
1.543263	⋍	5.432628	;	5.744563	/	0.945699	⋍	56.29671	;	56.446
1.554002	⋍	5.540023	;	5.91608	/	0.936435	⋍	57.97758	;	56.446
1.564128	⋍	5.641282	;	6.082763	/	0.927421	⋍	59.61107	;	59.347
1.573707	⋍	5.737068	;	6.244998	/	0.918666	⋍	61.20098	;	60.831
1.582794	⋍	5.827942	;	6.403124	/	0.910172	⋍	62.75062	;	60.831
1.591438	⋍	5.914384	;	6.557439	/	0.901935	⋍	64.2629	;	65.112
1.599681	⋍	5.996806	;	6.708204	/	0.893951	⋍	65.7404	;	65.112
1.607557	⋍	6.075565	;	6.855655	/	0.886212	⋍	67.18542	;	65.112
1.615097	⋍	6.150973	;	7	/	0.87871	⋍	68.6	;	65.112
1.62233	⋍	6.223304	;	7.141428	/	0.871437	⋍	69.986	;	65.112
1.62928	⋍	6.292799	;	7.28011	/	0.864382	⋍	71.34508	;	75.8

ｇ√2k+1との比較

q	⋍	辻本	⋍	Log（⋆）		/9.8ｶﾞｳｽ)	⋍	(⋆-1)x10	;	√2k+1		⋍1
1	⋍	2.11E+10	⋍	10.32494	/	1.053565	⋍	0.53565	;	1.732051	/	0.309258
2	⋍	3.31E+11	⋍	11.51974	/	1.175484	⋍	1.754839	;	2.236068	/	0.784788
3	⋍	1.66E+12	⋍	12.22101	/	1.247042	⋍	2.470417	;	2.645751	/	0.93373
4	⋍	5.24E+12	⋍	12.71922	/	1.297879	⋍	2.978791	;	3	/	0.99293
5	⋍	1.28E+13	⋍	13.10593	/	1.337339	⋍	3.373395	;	3.316625	/	1.017117
6	⋍	2.64E+13	⋍	13.42203	/	1.369595	⋍	3.695952	;	3.605551	/	1.025073
7	⋍	4.89E+13	⋍	13.68938	/	1.396875	⋍	3.968753	;	3.872983	/	1.024728
8	⋍	8.34E+13	⋍	13.92101	/	1.420512	⋍	4.205117	;	4.123106	/	1.019891
9	⋍	1.33E+14	⋍	14.12537	/	1.441364	⋍	4.41364	;	4.358899	/	1.012558
10	⋍	2.03E+14	⋍	14.30819	/	1.460019	⋍	4.600195	;	4.582576	/	1.003845
11	⋍	2.98E+14	⋍	14.47359	/	1.476897	⋍	4.768972	;	4.795832	/	0.994399
12	⋍	4.21E+14	⋍	14.62461	/	1.492307	⋍	4.923068	;	5	/	0.984614
13	⋍	5.8E+14	⋍	14.76354	/	1.506483	⋍	5.064833	;	5.196152	/	0.974728
14	⋍	7.8E+14	⋍	14.89217	/	1.519609	⋍	5.196095	;	5.385165	/	0.964891
15	⋍	1.03E+15	⋍	15.01194	/	1.53183	⋍	5.318304	;	5.567764	/	0.955196
16	⋍	1.33E+15	⋍	15.12398	/	1.543263	⋍	5.432628	;	5.744563	/	0.945699
17	⋍	1.7E+15	⋍	15.22922	/	1.554002	⋍	5.540023	;	5.91608	/	0.936435
18	⋍	2.13E+15	⋍	15.32846	/	1.564128	⋍	5.641282	;	6.082763	/	0.927421
19	⋍	2.64E+15	⋍	15.42233	/	1.573707	⋍	5.737068	;	6.244998	/	0.918666
20	⋍	3.25E+15	⋍	15.51138	/	1.582794	⋍	5.827942	;	6.403124	/	0.910172
21	⋍	3.95E+15	⋍	15.5961	/	1.591438	⋍	5.914384	;	6.557439	/	0.901935
22	⋍	4.75E+15	⋍	15.67687	/	1.599681	⋍	5.996806	;	6.708204	/	0.893951
23	⋍	5.68E+15	⋍	15.75405	/	1.607557	⋍	6.075565	;	6.855655	/	0.886212
24	⋍	6.73E+15	⋍	15.82795	/	1.615097	⋍	6.150973	;	7	/	0.87871
25	⋍	7.92E+15	⋍	15.89884	/	1.62233	⋍	6.223304	;	7.141428	/	0.871437
26	⋍	9.27E+15	⋍	15.96694	/	1.62928	⋍	6.292799	;	7.28011	/	0.864382

②色のｹﾞｰｼﾞ(ｽｶﾗｰﾎﾟﾃﾝｼｬﾙ)

①拡散方程式の解
ap/at⋍D△p
∴p⋍c(√D･x+Dｔ)
②色のｹﾞｰｼﾞ(ｽｶﾗｰﾎﾟﾃﾝｼｬﾙ)
h⋍{7±√(1+24b)}/2
2h⋍{7±√(1+24b)}					｢数学100の定理｣p52
2h-7⋍±√(1+24b)}		両辺を2乗
(2h-7)^2⋍1+24b
4h^2-28h+49⋍1+24b
4h^2-28h+(48-24b)⋍0		4で割
∴h^2-7h+(12-6b)⋍0
b	⋍	12-6b		解h		√	1+24b	⋍	24b⋍2k	･	?k
0	⋍	12	∴	3	4	√	1	⋍	1	･	0
1	⋍	6	∴	1	6	√	25	⋍	5	･	12
2	⋍	0	∴	0	7	√	49	⋍	7	･	24
3	⋍	-6	∴			√	73	⋍	8.544004	･	36
4	⋍	-12	∴			√	97	⋍	9.848858	･	48
5	⋍	-18	∴	ｰ2	9	√	121	⋍	11	･	60
6	⋍	-24	∴			√	145	⋍	12.04159	･	72
7	⋍	-30	∴	ｰ3	10	√	169	⋍	13	･	84
8	⋍	-36	∴			√	193	⋍	13.89244	･	96
9	⋍	-42	∴			√	217	⋍	14.73092	･	108
10	⋍	-48	∴			√	241	⋍	15.52417	･	120
11	⋍	-54	∴			√	265	⋍	16.27882	･	132
12	⋍	-60	∴	ｰ5	12	√	289	⋍	17	･	144

F[s,s+1,s]は大久保方程式を満たす.

大久保方程式は､
F[s,s+1,s]⋍	s-s-(s+1),	s+1-s⋍1	-(s+1)	,1
	s-s⋍0	-s	0	,-s
質量補正	m⇒∞
電荷補正	q⇒0
∴s⋍mqℓ	とおけばよい。
⓪ｾﾝﾀﾘﾝｸﾞ(mod11)				質量補正	(ﾍﾞｰｽﾗｲﾝ)
(1/2)	±⒤{√(2k+1)-(s/11)}			(1/2)	±⒤9.8√(2k+1)
文献値	・	文献/11	(s/11)	/11+s/11	・	文/√2k+1
14.13472	・	1.284975	(5/11)	1.73952	・	8.1606844
21.02203	・	1.911094	(4/11)	2.27473	・	9.40133762
25.01085	・	2.273714	(4/11)	2.63735	・	9.45321274
30.42487	・	2.765897	(8/11)	3.49317	・	9.17344346
32.93506	・	2.994096	(7/11)	3.63046	・	9.13454212
37.58617	・	3.416925	(5/11)	3.87147	・	9.70470736
40.91871	・	3.719883	(3/11)	3.99261	・	9.92424491
43.32707	・	3.938825	(5/11)	4.39337	・	9.93991156
48.00515	・	4.364105	(5/11)	4.81865	・	10.0097657
49.77383	・	4.524894	(4/11)	4.88853	・	9.954766
52.97	・	4.815455	(5/11)	5.27	・	10.1940813
56.446	・	5.131455	(5/11)	5.586	・	10.4817591
59.347	・	5.395182	(2/11)	5.577	・	10.6590359
60.831	・	5.530091	(1/11)	5.621	・	10.5893179
65.112	・	5.919273	(3/11)	6.192	・	10.7043469
75.8	・	6.890909	(10/11)	7.8	・	11.8379712
						9.9576955

p⋍(1/2)± ⒤g√(2k+1)-Sin(-114t+342)

)ｆ⋍-kx		x⋍Sin(-114t+342)
p⋍(1/2)±		⒤g√(2k+1)-	Sin(-114t+342)
∵三角関数の合成関数がﾌｯｸの法則を満たす
√(2k+1)	文	/√(2k+1)	傾向	Sin(-114t+342)	+	g√(2k+1)	⋍	g√(2k+1)-Sin(	)	文献値
1.732051	(	8.1606844		0.972623062	+	16.9740979	⋍	16.00147485	)	14.13472
2.236068	(	9.4013376	-	0.784980389	+	21.9134662	⋍	21.12848579	)	21.02203
2.645751	(	9.4532127	-	0	+	25.9283628	⋍	25.92836285	)	25.01085
3	(	0		-0.78498039	+	29.4	⋍	30.18498039	)	30.42487
3.316625	(	9.1734435	--	-0.97262306	+	32.5029229	⋍	33.47554601	)	32.93506
3.605551	(	9.1345421	--	-0.42013968	+	35.3344025	⋍	35.75454218	)
3.872983	(	9.7047074	-	0.452052676	+	37.9552368	⋍	37.50318412	)	37.58617
4.123106	(	9.9242449	+	0.980251584	+	40.4064351	⋍	39.42618355	)	40.91871
4.358899	(	9.9399116	+	0.762519447	+	42.7172096	⋍	41.9546902	)	43.32707
4.582576	(	0		-0.03545855	+	44.9092418	⋍	44.94470036	)
4.795832	(	10.009766	+	-0.80645406	+	46.9991489	⋍	47.80560299	)	48.00515
5	(	9.954766		-0.96377127	+	49	⋍	49.96377127	)	49.77383
5.196152	(	10.194081	+	-0.38769828	+	50.9222937	⋍	51.30999202	)
5.385165	(	10.481759	++	0.483397121	+	52.7746151	⋍	52.29121799	)	52.97
5.567764	(	10.659036	+++	0.986647238	+	54.5640908	⋍	53.57744352	)
5.744563	(	10.589318	++	0.739099482	+	56.2967139	⋍	55.55761445	)	56.446
5.91608	(	10.282316	-	-0.07087251	+	57.9775819	⋍	58.04845439	)	59.347
6.082763	(	10.000555	--	-0.82691344	+	59.6110728	⋍	60.43798624	)	60.831
6.244998	(	9.7407557	--	-0.95370734	+	61.2009804	⋍	62.15468772	)
6.403124	(	10.168786	-	-0.35476926	+	62.7506175	⋍	63.10538679	)	65.112
平均値	(	9.8318457	)