①D(Cos√x)=Sin√x/2√x(ベッセル,三角関数合成関数) | |||||||
②レニムスケート(r^2=a^2・Cos2θ)軌道 | |||||||
③d=∫1/(√x・Cos[√x])dx= | |||||||
~2Log[c+s/c-s]= | 2Log[1+tanθ/1-tanθ] | ||||||
ベーテの | ⓪零点1/2±⒤ | (複比)=d(光錐上距離p861) | |||||
γ(x)=1/(√x・Cos[√x]) -√(1 - x) | |||||||
Solve[√x・Cos[√x]== 0, x] | |||||||
∴x=0,π^2/4 | ≒2π | ||||||
n | ⋆ | (π^2/4)・√n | ⋆ | 文献値 | ⋆ | 文/()√n | |
1 | ⋆ | 2.467401095 | ⋆ | 14.13472 | ⋆ | 5.7286 | |
2 | ⋆ | 3.489432092 | ⋆ | 21.02203 | ⋆ | 6.0245 | |
3 | ⋆ | 4.273664059 | ⋆ | 25.01085 | ⋆ | 5.8523 | |
4 | ⋆ | 4.934802189 | ⋆ | 30.42487 | ⋆ | 6.1654 | |
5 | ⋆ | 5.517276575 | ⋆ | 32.93506 | ⋆ | 5.9694 | |
6 | ⋆ | 6.043873673 | ⋆ | 37.58617 | ⋆ | 6.2189 | |
7 | ⋆ | 6.528129681 | ⋆ | 40.91871 | ⋆ | 6.2681 | |
8 | ⋆ | 6.978864184 | ⋆ | 43.32707 | ⋆ | 6.2083 | |
9 | ⋆ | 7.402203284 | ⋆ | 48.00515 | ⋆ | 6.4853 | |
10 | ⋆ | 7.80260736 | ⋆ | 49.77383 | ⋆ | 6.3791 | |
11 | ⋆ | 8.183443638 | ⋆ | 52.97 | ⋆ | 6.4728 | |
12 | ⋆ | 8.547328117 | ⋆ | 56.446 | ⋆ | 6.6039 | |
13 | ⋆ | 8.896341164 | ⋆ | 59.347 | ⋆ | 6.6709 | |
14 | ⋆ | 9.232169532 | ⋆ | 60.831 | ⋆ | 6.589 | |
15 | ⋆ | 9.556203348 | ⋆ | 65.112 | ⋆ | 6.8136 |