LaTeX输入主值积分符号
使用LaTeX输入主值积分符号(The Principal Value Integral symbol).
\def\Xint#1{\mathchoice
{\XXint\displaystyle\textstyle{#1}}%
{\XXint\textstyle\scriptstyle{#1}}%
{\XXint\scriptstyle\scriptscriptstyle{#1}}%
{\XXint\scriptscriptstyle\scriptscriptstyle{#1}}%
\!\int}
\def\XXint#1#2#3{{\setbox0=\hbox{$#1{#2#3}{\int}$}
\vcenter{\hbox{$#2#3$}}\kern-.5\wd0}}
\def\ddashint{\Xint=}
\def\dashint{\Xint-}
\dashint gives a single-dashed integral sign, \ddashint a double-dashed one.
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讨论函数项级数$\sum_{n=0}^\infty\sqrt{n}x^2(1-x)^n$在$[0,1]$上的一致连续性.
解. 对任意$x_1,x_2\in [0,1]$且$|x_2-x_1|<\delta=$,令$f(x)=\sqrt{n}x^2(1-x)^n$我们有
$$\sum_{n=0}^{\infty}{\frac{1}{\left( x^n+\frac{1}{x^n} \right) \left( x^{n+1}+\frac{1}{x^{n+1}} \right)}}=\frac{x}{x^2-1}\sum_{n=0}^{\infty}{\left( \frac{1}{x^{2n}+1}-\frac{1}{x^{2n+2}+1} \right)}=\frac{1}{2}\frac{x}{x^2-1}$$
Cheatsheet – Python & R codes for common Machine Learning Algorithms：https://www.analyticsvidhya.com/blog/2015/09/full-cheatsheet-machine-learning-algorithms/
机器学习算法代码汇总：http://www.csuldw.com/2015/11/21/2015-11-21-machine-learning-algorithms/
Essentials of Machine Learning Algorithms (with Python and R Codes)：https://www.analyticsvidhya.com/blog/2015/08/common-machine-learning-algorithms/
10 种机器学习算法的要点（附 Python 和 R 代码）：http://blog.jobbole.com/92021/
机器学习算法比较：http://www.csuldw.com/2016/02/26/2016-02-26-choosing-a-machine-learning-classifier/
读书心得-Do we Need Hundreds of Classifiers to Solve Real World Classification Problems：http://blog.csdn.net/vivian_ll/article/details/61199941
2021年9月14日 19:52
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