[置顶] 说明
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最近在玩GitHub博客，感觉不错，但愿不要被墙就好啦，这样我就可以把它作为主站啦。hypergroups.github.com 阅读全文
posted @ 2013-07-12 20:44 HyperGropus 阅读(163) 评论(0) 推荐(0) 编辑
Rudin-《数学分析原理》1.1
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Chapter 1 Real and Complex Number Systems INTRODUCTION A satisfactory discussion of the main concepts of analysis (such as convergence, continuity, differentiation, and integration) must be based o... 阅读全文
posted @ 2013-08-13 22:35 HyperGropus 阅读(591) 评论(0) 推荐(0) 编辑
#多项式定理
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#多项式定理 --- #瓮模型Urn --- $n$个瓮里各有一个球，各个球不同，从中取出$k$个球，则有几种取法（$k$个球是有排列的）？ 回忆： case1: 每次取出后放回去，由乘法原理，每次取，都有$n$种情况, $n^k$ case2: 每次取出后不放回去， $$\begin{align*}n(n-1)(n-2)\text{...}(n-k)\tag{1}\end{align*}$$... 阅读全文
posted @ 2013-08-11 15:10 HyperGropus 阅读(391) 评论(1) 推荐(0) 编辑
1.1 THE ALGEBRA OF COMPLEX NUMBERS
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It is fundamental that real and complex numbers obey the same basic laws of arithmetic. We begin our study of complex function theory by stressing and implementing this analogy. Created with Wolfr... 阅读全文
posted @ 2013-07-12 11:47 HyperGropus 阅读(111) 评论(0) 推荐(0) 编辑
#多项式笔记
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#多项式笔记 --- $\text{GCD}$要注意的一个东西是唯一性跟首项系数有关，两个多项式的$\text{GCD}$在差一个非零常数倍时是唯一确定的，这样所有$\text{GCD}$们都是$\text{$\unicode{9996}\unicode{4e00}$GCD}$的倍数。 另外整除关系不因系数域的扩大而改变，但是$Z[x]$中不能做除法，并不能直接算带余除法，扩域如复数域能分解的，... 阅读全文
posted @ 2013-07-10 14:19 HyperGropus 阅读(190) 评论(0) 推荐(0) 编辑
1.1 Introduction (MathJax-Latex测试)
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#INTRODUCTION --- A satisfactory discussion of the main concepts of analysis (such as convergence, continuity, differentiation, and integration) must be based on an accurately defined number concep... 阅读全文
posted @ 2013-07-07 19:45 HyperGropus 阅读(219) 评论(0) 推荐(0) 编辑
1.1 INTRODUCTION
摘要：
INTRODUCTION A satisfactory discussion of the main concepts of analysis (such as convergence, continuity, differentiation, and integration) must be based on an accurately defined number concept. We... 阅读全文
posted @ 2013-07-07 19:31 HyperGropus 阅读(168) 评论(0) 推荐(0) 编辑
