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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