[Everyday Mathematics]20150131
在 $\bbR^4$ 中定义如下有界区域 $\Omega$: $$\bex \Omega=\sed{(x,y,z,w)\in\bbR^4;\ |x|+|y|+\sqrt{z^2+w^2}\leq 1}, \eex$$ 计算 $\Omega$ 的体积.[Everyday Mathematics]201...
[Everyday Mathematics]20150303
设 $f$ 是 $\bbR$ 上的 $T$ - 周期函数, 试证: $$\bex \int_T^\infty\frac{f(x)}{x}\rd x\mbox{ 收敛 } \ra \int_0^T f(x)\rd x=0. \eex$$[Everyday Mathematics]20150303的更多...
[Everyday Mathematics]20150226
设 $z\in\bbC$ 适合 $|z+1|>2$. 试证: $$\bex |z^3+1|>1. \eex$$[Everyday Mathematics]20150226的更多相关文章[Everyday Mathematics]20150304证明...
[Everyday Mathematics]20150227
(Marden's Theorem) 设 $p(z)$ 是三次复系数多项式, 其三个根 $z_1,z_2,z_3$ 不共线; 再设 $T$ 是以 $z_1,z_2,z_3$ 为顶点的三角形. 则存在唯一的一个内切于 $T$ 的椭圆, 使得切点为 $T$ 各边的中点, 椭圆的的两焦点为 $p'(z)$...
[Everyday Mathematics]20150225
设 $f:\bbR\to\bbR$ 二次可微, 适合 $f(0)=0$. 试证: $$\bex \exists\ \xi\in\sex{-\frac{\pi}{2},\frac{\pi}{2}},\st f''(\xi)=f(\xi)(1+2\tan^2\xi). \eex$$[Everyday M...
[Everyday Mathematics]20150204
设 $k_0>0$, $\phi:[k_0,\infty)\to[0,\infty)$ 是有界递减函数, 并且 $$\bex \phi(k)\leq \frac{A}{(k-h)^\al}\phi(h)^\beta,\quad k>h>k_0, \eex$$ 其中 $A,\al&g...
经典书Discrete.Mathematics上的大神
版权声明：本文作者靖心，靖空间地址：http://blog.csdn.net/kenden23/，未经本作者同意不得转载。https://blog.csdn.net/kenden23/article/details/25339917Discrete.Mathematics.and.Its.Appli...
[Everyday Mathematics]20150125
试求极限 $$\bex \lim_{x\to 0^+}\int_x^{2x} \frac{\sin^m t}{t^n}\rd t\quad\sex{m,n\in\bbN}. \eex$$
How do I learn mathematics for machine learning?
https://www.quora.com/How-do-I-learn-mathematics-for-machine-learningHow do I learn mathematics for machine learning?Promoted by Time DoctorSoftware f...
How to Be Good at Mathematics
How to Be Good at MathematicsCommunity Q&ASometimes, the hardest subject for some people is mathematics. There are so many formulas, equations, an...
[Everyday Mathematics]20150126
设 $A$ 是 $4\times 2$ 阶实矩阵, $B$ 是 $2\times 4$ 阶实矩阵, 满足 $$\bex AB=\sex{\ba{cccc} 1&0&-1&0\\ 0&1&0&-1\\ -1&0&1&0\\ 0&a...
How to do Mathematics
著作权归作者所有。商业转载请联系作者获得授权，非商业转载请注明出处。作者：匿名用户链接：http://www.zhihu.com/question/30087053/answer/47815698来源：知乎Benson Farb：晨兴通俗报告How to do Mathematics文稿(z)晨兴通...
[Everyday Mathematics]20150114
设 $a_0$, $d$ 给定, $a_k=a_0+kd$, $k=0,1,\cdots,n$. 试求如下 $n+1$ 阶行列式的值: $$\bex \sev{\ba{ccccc} a_0&a_1&a_2&\cdots&a_n\\ a_1&a_0&a_...
[Everyday Mathematics]20150202
设 $f:\bbR^2\to \bbR$ 为连续函数, 且满足条件 $$\bex f(x+1,y)=f(x,y+1)=f(x,y),\quad\forall\ (x,y)\in \bbR^2. \eex$$ 证明: $f$ 是一致连续函数.
[Everyday Mathematics]20150129
计算下列积分 $$\bex \int_a^b (x-a)^2(b-x)^3\rd x. \eex$$
Principles and strategies for mathematics study
Make mathematics study a habit with dogged perseveranceDon't build mansion on top of loose sand. Concrete a solid foundation by allocating at least on...
What Is Mathematics?
What Is Mathematics?The National Council of Teachers of Mathematics (NCTM), the world's largest organization devoted to improving mathematics educatio...
Mathematics for Computer Graphics数学在计算机图形学中的应用 [转]
最近严重感觉到数学知识的不足！http://bbs.gameres.com/showthread.asp?threadid=10509[译]Mathematics for Computer GraphicsMathematics for Computer Graphics数学在计算机图形学中的应用G...
Consideration about improving mathematics study
In this article, I’ll present my ideas about how to improve mathematics study, which are the forewords of my handwriting notes on Royden’s “Real Analy...
UnicodeMath数学公式编码_翻译(Unicode Nearly Plain - Text Encoding of Mathematics Version 3)
强烈推荐本文简明版UnicodeMath编码教程本文为UnicodeMath官方文档的翻译，原文看这。翻译如有不准还请谅解！由于我个人只想学习在word中使用UnicodeMath，故可能不会翻译整个文档。word插入公式不自动斜体的解决办法微软官网Word 中使用 UnicodeMath 和 La...