<?xml version="1.0" encoding="utf-8" ?><rss version="2.0"><channel><title><![CDATA[三角形的心]]></title><description><![CDATA[喜欢数理基础科学]]></description><link>https://blog.youkuaiyun.com/jthmath</link><language>zh-cn</language><generator>https://blog.youkuaiyun.com/</generator><copyright><![CDATA[Copyright &copy; jthmath]]></copyright><item><title><![CDATA[粘接引理]]></title><link>https://blog.youkuaiyun.com/jthmath/article/details/50196901</link><guid>https://blog.youkuaiyun.com/jthmath/article/details/50196901</guid><author>jthmath</author><pubDate>Tue, 22 Dec 2015 23:43:41 +0800</pubDate><description><![CDATA[点集拓扑中的粘接引理很基础、很重要，应用也很广泛。粘接引理设{Xα|α∈Γ}\{ X_\alpha | \alpha \in  \varGamma \}为拓扑空间(X,TX)(X, \mathscr{T}_X)的一族子拓扑空间，且 
⋃α∈ΓXα=X. \bigcup_{\alpha \in  \varGamma} X_\alpha = X . 
(Y,TY)(Y, \mathscr{T}_Y)为拓]]></description><category></category></item><item><title><![CDATA[2015年国际数学奥林匹克（IMO）试题]]></title><link>https://blog.youkuaiyun.com/jthmath/article/details/46934781</link><guid>https://blog.youkuaiyun.com/jthmath/article/details/46934781</guid><author>jthmath</author><pubDate>Sat, 18 Jul 2015 00:06:34 +0800</pubDate><description><![CDATA[每题7分，共6题第一天 2015年7月10日第1题我们称平面上一个有限点集SS是平衡的，如果SS中任意两个不同的点AA、BB，都存在SS中一点CC，满足AC=BCAC=BC. 我们称SS是无中心的，如果对SS中任意三个不同的店AA、BB、CC，都不存在SS中一点PP，满足PA=PB=PCPA=PB=PC. 
(a)证明：对每个整数n≥3n \geq 3，都存在一个由nn个点组成的平衡点集. 
(b)]]></description><category></category></item><item><title><![CDATA[构造无穷个无穷小量，使它们的乘积为常数]]></title><link>https://blog.youkuaiyun.com/jthmath/article/details/44965827</link><guid>https://blog.youkuaiyun.com/jthmath/article/details/44965827</guid><author>jthmath</author><pubDate>Thu, 09 Apr 2015 21:26:24 +0800</pubDate><description><![CDATA[定义函数序列fn:(1,+∞)→R,n=1,2,3,⋯f_n:(1,+\infty) \to \mathbb R, n=1,2,3, \cdots如下： 
f1(x)=1x,x>1,f2(x)={x,1x,1<x≤2,x>2,f_1(x)= \frac1x, x>1, \\ f_2(x)= \begin{cases}
x,  & 1<x \le 2, \\ \frac1x, & x>2,
\end{]]></description><category></category></item><item><title><![CDATA[证明调和级数发散]]></title><link>https://blog.youkuaiyun.com/jthmath/article/details/44960539</link><guid>https://blog.youkuaiyun.com/jthmath/article/details/44960539</guid><author>jthmath</author><pubDate>Thu, 09 Apr 2015 15:16:59 +0800</pubDate><description><![CDATA[调和级数发散的证明。]]></description><category></category></item><item><title><![CDATA[近世代数【第一章 群】2 子群]]></title><link>https://blog.youkuaiyun.com/jthmath/article/details/44833961</link><guid>https://blog.youkuaiyun.com/jthmath/article/details/44833961</guid><author>jthmath</author><pubDate>Thu, 02 Apr 2015 16:32:18 +0800</pubDate><description><![CDATA[介绍子群的概念和性质。]]></description><category></category></item><item><title><![CDATA[近世代数【第一章 群】1 群的概念]]></title><link>https://blog.youkuaiyun.com/jthmath/article/details/43954657</link><guid>https://blog.youkuaiyun.com/jthmath/article/details/43954657</guid><author>jthmath</author><pubDate>Thu, 26 Feb 2015 16:59:08 +0800</pubDate><description><![CDATA[设GG为非空集合，∗*为GG上的一个二元运算，如果∗*满足： 
（1）结合律：(a∗b)∗c=a∗(b∗c)(a*b)*c=a*(b*c)； 
（2）单位元：存在e∈Ge \in G，使得对任意a∈Ga \in G，有e∗a=a∗e=ae*a=a*e=a； 
（3）逆元：对任意a∈Ga \in G，存在b∈Gb \in G，使得a∗b=b∗a=ea*b=b*a=e。 
则称(G,∗)(G,*)是一个]]></description><category></category></item><item><title><![CDATA[我的核心价值观]]></title><link>https://blog.youkuaiyun.com/jthmath/article/details/39994063</link><guid>https://blog.youkuaiyun.com/jthmath/article/details/39994063</guid><author>jthmath</author><pubDate>Sat, 11 Oct 2014 14:44:59 +0800</pubDate><description><![CDATA[独立、自由、平等]]></description><category></category></item></channel></rss>