论文标题
关于数字的几何形状的注释
A note on the geometry of figurate numbers
论文作者
论文摘要
我们给出了公式的简短证明$ n^p = \ sum _ {\ ell = 0}^{p-1}（-1）^{\ ell} c_ {p，\ ell} f^{p- \ el} f^{p- \ ell} _n $ $（p- \ ell）$ - 通过切割$ p $二维多维数据集获得的$ p $二维简单的尺寸。
We give a short proof of the formula $n^p=\sum_{\ell=0}^{p-1} (-1)^{\ell} c_{p,\ell} F^{p-\ell}_n$, where $F^{p-\ell}_n$ is the figurate number and $c_{p,\ell}$ is the number of $(p-\ell)$-dimensional facets of $p$-dimensional simplices obtained by cutting the $p$-dimensional cube.
