| 两侧同时换到之前的修订记录 前一修订版 后一修订版 | 前一修订版 |
| public:math:start [2015/02/11 13:30] – oakfire | public:math:start [2022/09/22 09:27] (当前版本) – oakfire |
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| ====== Mathematics ====== | ====== Mathematics ====== |
| | ===== Useful ===== |
| | * [[https://aimath.org/textbooks/approved-textbooks/|美国数学学会认可的教科书]] |
| | * [[https://proofwiki.org/wiki/Main_Page|ProofWiki 定理证明收集wiki]] |
| | ===== 问题 ===== |
| | * [[.:funny formula]] |
| | * [[.:Coupon_collector_problem]] |
| | * [[.:Euler's formula]] |
| | * [[.:Tessellation]] |
| | ===== 子分类 ===== |
| | * [[.:Number_Theory]] |
| | * [[.:Graph_Theory]] |
| | * [[.:statistics]] |
| | * [[.:Mathematical_Analysis]] |
| | ===== Tools ===== |
| | * [[LaTeX]] |
| | |
| | ===== Fun ===== |
| | * [[http://www.conwaylife.com/wiki/Conway's_Game_of_Life|Conway's Game of Life]] |
| | * [[http://mingplusplus.com/game-of-life/]] |
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| ===== 赠券收集问题 ===== | |
| * [[http://en.wikipedia.org/wiki/Coupon_collector%27s_problem | Coupon collector's problem ]] | |
| * [[http://zh.wikipedia.org/wiki/%E8%B4%88%E5%88%B8%E6%94%B6%E9%9B%86%E5%95%8F%E9%A1%8C | 赠券收集问题]] | |
| * [[http://zh.wikipedia.org/wiki/%E8%AA%BF%E5%92%8C%E6%95%B8 | 调和数]],[[http://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constant | Euler–Mascheroni constant]] | |
| * 估算公式:<math> | |
| \operatorname{E}(T) = n \cdot H_n = n \log n + \gamma n + \frac1{2} + o(1), \ \ | |
| \text{as} \ n \to \infty, | |
| </math> | |
| where <math>\gamma \approx 0.5772156649</math> is the [[http://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constant | Euler–Mascheroni constant]]. | |
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oakfire