/9.8ガウス) | ⋍ | (⋆-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 |
q | ⋍ | 辻本 | ⋍ | Log(⋆) | /9.8ガウス) | ⋍ | (⋆-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 |
①拡散方程式の解 | |||||||||||
ap/at⋍D△p | |||||||||||
∴p⋍c(√D・x+Dt) | |||||||||||
②色のゲージ(スカラーポテンシャル) | |||||||||||
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 |
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センタリング(mod11) | 質量補正 | (ベースライン) | ||||
(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 |
)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 | ) |