Mathjax TeX 測試

2023-08-22 15:51 作者:B1ueMicr0 0人讀過 | 我要投稿

$B%20%E7%AB%99%E4%B8%93%E6%A0%8F%E7%9A%84%E5%95%A5%E5%B8%81%20%5CLaTeX%20%E7%B3%BB%E7%BB%9F%E7%9A%84%E6%B5%8B%E8%AF%95.%20$

$%E9%97%AE%E9%A2%98%E5%BE%88%E5%A4%9A%EF%BC%8C%E4%BE%8B%E5%A6%82%E7%BC%96%E8%BE%91%E6%97%B6%E8%87%AA%E5%8A%A8%E6%9B%BF%E6%8D%A2%E5%89%8D%E9%9D%A2%E7%9A%84%E5%85%AC%E5%BC%8F%E6%88%96%E8%80%85%E8%AF%BB%E8%80%85%E9%98%85%E8%AF%BB%E8%BF%87%E7%A8%8B%E4%B8%AD%E9%9A%8F%E6%9C%BA%E5%87%BA%E7%8E%B0%E7%9A%84%20$ $%5Ctpe$ ? $%E5%AD%97%E6%A0%B7.$

$%E5%88%86%E6%95%B0%E6%8C%87%E6%95%B0%E5%B9%82%E8%BF%90%E7%AE%97%E6%B3%95%E5%88%99%EF%BC%9A%5Cleft%20(%20%5Cfrac%7Ba%7D%7Bb%7D%5Cright%20)%5E%7Bn%7D%3D%20%5Cfrac%7Ba%5E%7Bn%7D%7D%7Bb%5E%7Bn%7D%7D%20$

$%E6%AD%A3%E5%BC%A6%E5%AE%9A%E7%90%86%EF%BC%9A%5Cfrac%7B%5Csin%20A%7D%7Ba%7D%3D%5Cfrac%7B%5Csin%20B%7D%7Bb%7D%3D%5Cfrac%7B%5Csin%20C%7D%7Bc%7D%3D%5Cfrac%7B1%7D%7B2R%7D%20$

$%E4%BD%99%E5%BC%A6%E5%AE%9A%E7%90%86%EF%BC%9Aa%5E%7B2%7D%3Db%5E%7B2%7D%2Bc%5E%7B2%7D-2bc%5Ccos%20A%20$

$%E5%90%84%E7%B1%BB%E5%B9%B3%E5%9D%87%EF%BC%9A%5Cbegin%7Barray%7D%7Bc%7D%20%0A%20%20H_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B%5Csum%20%5Climits_%7Bi%3D1%7D%5E%7Bn%7D%5Cfrac%7B1%7D%7Bx_%7Bi%7D%7D%7D%3D%20%5Cfrac%7Bn%7D%7B%5Cfrac%7B1%7D%7Bx_%7B1%7D%7D%2B%20%5Cfrac%7B1%7D%7Bx_%7B2%7D%7D%2B%20%5Ccdots%20%2B%20%5Cfrac%7B1%7D%7Bx_%7Bn%7D%7D%7D%20%5C%5C%20G_%7Bn%7D%3D%5Csqrt%5Bn%5D%7B%5Cprod%20%5Climits_%7Bi%3D1%7D%5E%7Bn%7Dx_%7Bi%7D%7D%3D%20%5Csqrt%5Bn%5D%7Bx_%7B1%7Dx_%7B2%7D%5Ccdots%20x_%7Bn%7D%7D%20%5C%5C%20A_%7Bn%7D%3D%5Cfrac%7B1%7D%7Bn%7D%5Csum%20%5Climits_%7Bi%3D1%7D%5E%7Bn%7Dx_%7Bi%7D%3D%5Cfrac%7Bx_%7B1%7D%2B%20x_%7B2%7D%2B%20%5Ccdots%20%2B%20x_%7Bn%7D%7D%7Bn%7D%20%5C%5C%20Q_%7Bn%7D%3D%5Csqrt%7B%5Csum%20%5Climits_%7Bi%3D1%7D%5E%7Bn%7Dx_%7Bi%7D%5E%7B2%7D%7D%3D%20%5Csqrt%7B%5Cfrac%7Bx_%7B1%7D%5E%7B2%7D%2B%20x_%7B2%7D%5E%7B2%7D%2B%20%5Ccdots%20%2B%20x_%7Bn%7D%5E%7B2%7D%7D%7Bn%7D%7D%20%5C%5C%20H_%7Bn%7D%5Cleq%20G_%7Bn%7D%5Cleq%20A_%7Bn%7D%5Cleq%20Q_%7Bn%7D%20%0A%5Cend%7Barray%7D$

$Cauchy%E4%B8%8D%E7%AD%89%E5%BC%8F%EF%BC%9A%0A%5Cleft(%20%5Csum_%7Bk%3D1%7D%5En%20a_k%20b_k%20%5Cright)%5E%7B%5C!%5C!2%7D%5Cleq%20%20%20%0A%5Cleft(%20%5Csum_%7Bk%3D1%7D%5En%20a_k%5E2%20%5Cright)%20%5Cleft(%20%5Csum_%7Bk%3D1%7D%5En%20b_k%5E2%20%5Cright)%20$

$%E7%BB%99%E6%AD%A3%E5%BC%A6%E5%87%BD%E6%95%B0%E5%AF%BC%EF%BC%9A%5Cfrac%7B%5Cmathrm%7Bd%7D%7D%7B%5Cmathrm%7Bd%7Dx%7D%5Csin%20x%3D%5Ccos%20x%20$

$%E7%A7%AF%E5%9B%9E%E5%8E%BB%EF%BC%9A%5Cint_%7B%7D%5E%7B%7D%20%5Ccos%20x%20dx%20%3D%5Csin%20x%20%2BC$

$%E4%B8%80%E4%B8%AA%203%5Ctimes%203%20%E7%9F%A9%E9%98%B5%EF%BC%9A%5Cbegin%7Bpmatrix%7D%20%20%0A%20%20a_%7B11%7D%20%26%20a_%7B12%7D%20%26%20a_%7B13%7D%20%5C%5C%20%20%0A%20%20a_%7B21%7D%20%26%20a_%7B22%7D%20%26%20a_%7B23%7D%20%5C%5C%20%20%0A%20%20a_%7B31%7D%20%26%20a_%7B32%7D%20%26%20a_%7B33%7D%20%20%0A%5Cend%7Bpmatrix%7D%20$