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LeetCode——Sqrt(x)
Implement int sqrt(int x). Compute and return the square root of x. 原题链接:https://oj.leetcode.com/problems/sqrtx/ 使用二分法来解题。 public int sqrt(int x) { if(x == 0 || x== 1) return x; in...
分类:其他好文   时间:2014-11-21 16:24:07    阅读次数:175
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.5.6
Let $A$ be a nilpotent operator. Show how to obtain, from aJordan basis for $A$, aJordan basis of $\wedge^2A$.
分类:其他好文   时间:2014-11-21 10:37:06    阅读次数:160
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.5.3
Let $\scrM$ be a $p$-dimensional subspace of $\scrH$ and $\scrN$ its orthogonal complement. Choosing $j$ vectors from $\scrM$ and $k-j$ vectors from $...
分类:其他好文   时间:2014-11-21 10:24:43    阅读次数:159
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.5.4
If $\dim \scrH=3$, then $\dim \otimes^3\scrH =27$, $\dim \wedge^3\scrH =1$ and $\dim \vee^3\scrH =10$. In terms of an orthonormal basis of $\scrH$, wr...
分类:其他好文   时间:2014-11-21 10:24:21    阅读次数:121
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.5.7
Prove that for any vectors $$\bex u_1,\cdots,u_k,\quad v_1,\cdots,v_k, \eex$$ we have $$\bex |\det(\sef{u_i,v_j})|^2 \leq \det\sex{\sef{u_i,u_j}}\cdot...
分类:其他好文   时间:2014-11-21 10:21:56    阅读次数:155
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.5.5
Show that the inner product $$\bex \sef{x_1\vee \cdots \vee x_k,y_1\vee \cdots\vee y_k} \eex$$ is equal to the permanent of the $k\times k$ matrix $\s...
分类:其他好文   时间:2014-11-21 10:20:49    阅读次数:259
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.5.2
The elementary tensors $x\otimes \cdots \otimes x$, with all factors equal, are all in the subspace $\vee^k\scrH$. Do they span it?
分类:其他好文   时间:2014-11-21 10:18:30    阅读次数:134
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.5.1
Show that the inner product $$\bex \sef{x_1\wedge \cdots \wedge x_k,y_1\wedge \cdots\wedge y_k} \eex$$ is equal to the determinant of the $k\times k$ ...
分类:其他好文   时间:2014-11-21 09:09:37    阅读次数:225
我们需要解决的机器学习问题
From:http://machinelearningmastery.com/practical-machine-learning-problems/Practical Machine Learning ProblemsWhat is Machine Learning? We can readaut...
分类:其他好文   时间:2014-11-20 20:11:17    阅读次数:394
c++ why can't class template hide its implementation in cpp file?
类似的问题还有: why can't class template use Handle Class Pattern to hide its implementation? || why there are linker problems (undefined reference) to my cl...
分类:编程语言   时间:2014-11-19 20:18:49    阅读次数:526
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