User:ERS ROHU/数学区

这只是一个数学实验区~

神·公式 (∑的秘方)

鬼知道它是被如何发现的……

公式
$\sum _{k=1}^{n}k=n(n+1)\div 2$ 或者这么写： $\sum _{k=1}^{n}k={\frac {n(n+1)}{2}}$ 是的，它看上去是很简单 但它并没有这么简单⋯⋯

另外一个

没想到吧！

公式
$\sum _{k=b(b\neq \leqslant 1)}^{n}k=n(n+1)\div 2-b$

分数的秘密

我们都知道，什么是分数。 但下面有东西啊

好的首先我们需要知道带分数、假分数之间如何转换，请看下面的公式： $a{\frac {b}{c}}={\frac {(ac+b)c}{c}}$

平方根

有限分数 （转化为小数后是有限小数的分数）

公式
${\sqrt {\frac {a}{b}}}={\frac {\sqrt {ab}}{b}}$

例子
${\sqrt {\frac {5}{19}}}={\frac {\sqrt {19\times 5}}{19}}={\frac {\sqrt {95}}{19}}$

古戈尔普勒克斯

有本事你就展开

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这就是古戈尔普勒克斯（$10^{10^{100}}$）