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Codeforces 1296E2. String Coloring (hard version)
这道题和HDU1257一模一样,一开始窝都用贪心直接解,没法理解为什么求一个最长下降序列,直到看了巨巨的题解,先给出一个定理,Dilworth's theorem,离散学不好,补题两行泪,该定理是说,对于任意的偏序集,其最长反链的长度与能分解的最少的链数(chain decomposition)相等 ...
分类:其他好文   时间:2020-02-05 18:49:49    阅读次数:87
概率论基础知识(Probability Theory)
概率(Probability):事件发生的可能性的数值度量。 组合(Combination):从n项中选取r项的组合数,不考虑排列顺序。组合计数法则:。 排列(Permutation):从n项中选取r项的组合数,考虑排列顺序。排列计数法则:。 贝叶斯定理(Bayes's Theorem):获取新信息 ...
分类:其他好文   时间:2019-12-20 22:22:28    阅读次数:140
lecture 10.22
1. 不能使用master theorem的地方 2. basic induction 3. inductive case中也可以分别对base case0,1两种情况分别证明p(k+2)成立,即分别证明奇数成立,偶数成立 4. induction m upwords induction steps ...
分类:其他好文   时间:2019-10-23 11:26:38    阅读次数:74
POJ - 3006 - Dirichlet's Theorem on Arithmetic Progressions = 水题
http://poj.org/problem?id=3006 给一个等差数列,求其中的第n个质数,答案保证不超过1e6。n还特别小?!!! 埃筛之后暴力。 include include include include include include include include include ...
分类:其他好文   时间:2019-10-23 00:28:53    阅读次数:94
[Mathematics][MIT 18.03] Proof of a Theory about the Solution to Second-order Linear Homogeneous Differential Equation
Edit: I suddenly found that this theorem is called Abel Identity. And the proof here is exactly the same as what he did. At first, I'd like to say tha ...
分类:其他好文   时间:2019-10-04 21:03:48    阅读次数:98
GCD&&素筛&&快速幂 --A - Pseudoprime numbers
Fermat's theorem states that for any prime number p and for any integer a > 1, ap = a (mod p). That is, if we raise a to the pth power and divide by p ...
分类:其他好文   时间:2019-07-25 00:39:48    阅读次数:104
深度学习中那些有趣的定理或理论
1.通用近似定理 在人工神经网络领域的数学观点中,「通用近似定理 (Universal approximation theorem,一译万能逼近定理)」指的是:如果一个前馈神经网络具有线性输出层和至少一层隐藏层,只要给予网络足够数量的神经元,便可以实现以足够高精度来逼近任意一个在 ?n 的紧子集 ( ...
分类:其他好文   时间:2019-05-21 17:27:32    阅读次数:173
每日定理5
Isaacs, $\textit{Character Theory of Finite Groups}$, Theorem(1.10) Let $V$ be an $A$-module. Then $V$ is completely reducible iff it is a sum of irre ...
分类:其他好文   时间:2019-04-21 10:16:28    阅读次数:102
hdu 3480 Division(四边形不等式优化)
Problem Description Little D is really interested in the theorem of sets recently. There’s a problem that confused him a long time. Let T be a set of ...
分类:其他好文   时间:2019-04-16 01:30:50    阅读次数:171
确界原理 supremum and infimum principle 戴德金定理 Dedekind theorem
确界原理 supremum and infimum principle 戴德金定理 Dedekind theorem http://www.math.ubc.ca/~cass/courses/m446-05b/dedekind-book.pdf#page=15 continulity and irr ...
分类:其他好文   时间:2019-04-02 09:20:24    阅读次数:190
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