MathOverview
Reputation
5,817
67/100 score
 2d revised If $A$ and $B$ are arbitrary $n \times n$ matrices, prove that $(A^TB^TBA)$ is symmetric added 1026 characters in body Apr 25 revised On the Constant Rank Theorem and the Frobenius Theorem for differential equations. edited body Apr 1 revised Show that curvature and torsion are $κ = \frac{\left|γ'∧γ''\right|}{\left|γ'\right|^3}$ and $\tau = \frac{(γ'∧γ'')\cdot γ'''}{\left|γ'∧γ''\right|^2}$ edited title Mar 25 revised If $f_1, f_2, f_3,\ldots$ is the Fibonacci sequence proof $f_1^2 + f_2^ 2 + \cdots + f_n^2 = f_n f_{n+1}$. edited title Mar 16 revised Prove $\sum_{i=0}^{n}\left(x_{i}^{n}\prod_{0\leq k\leq n}^{k\neq i}\frac{x-x_k}{x_i-x_k}\right)=x^n$ added 23 characters in body Mar 14 revised Calculating $\lim_{n\to\infty}\sum_{k=1}^{\infty}\frac{(-1)^{k}\arctan(n^{2}k)}{n^{\alpha}+k^{3/2}}$ edited tags Mar 7 revised Why the $\nabla f(x)$ in the direction orthogonal to $f(x)$? edited tags Jan 29 revised Single reference to classical results in analysis. added 267 characters in body Jan 29 revised how to prove $(-1)\cdot(-1)=1$ based only on the field axioms? I simplified the demonstration. Jan 29 revised Single reference to classical results in analysis. added 63 characters in body Jan 29 revised Single reference to classical results in analysis. eliminating small misconceptions and improving the question. Jan 27 revised Dual program is wrong. Authors claim is right. added 337 characters in body; edited tags Jan 27 revised Single reference to classical results in analysis. edited body Jan 27 revised Single reference to classical results in analysis. edited body Jan 27 revised Single reference to classical results in analysis. added 20 characters in body Jan 25 revised Uniform continuity with respect to parameter. added 39 characters in body Jan 25 revised Properties of sup and lim inf. Added more explicit upper bounds for the sequence $a_n$ and comments more enlightening. Jan 22 revised Proving $proj_{proj_{\vec u} \vec v} \vec v=proj_{\vec u} \vec v$ added 143 characters in body Dec 28 revised Prove that $5^n + 2\cdot3^{n-1} + 1$ is multiple of $8$ added 83 characters in body; edited tags Nov 19 revised Exists $y \in K$ such that $\|y-x_0\|=\inf\{\|x-x_0\| :x \in K\}$ for disjoint closed sets $K$ and the set of $\{x_0:\|x_0\|≥b\}$ added 3 characters in body; edited title