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Jun
23
answered How do I show that $B$ has an infinite number of extreme points, but no faces (sides) of dimension $1$ or $2$?
Jun
23
asked Infinite matrix is injective if all its upper left minors are invertible?
Jun
19
asked Which ZFC axiom schemes are reducible to a single axiom?
Jun
14
asked variant of Heine-Borel theorem : countable subcovering of segment covering in $\mathbb R$
Jun
14
answered Show $f(x)\geq 0$ for all $x$ if and only if it has even degree and is of the form $f(x)=r(x)^2(x^2+a_1x+b_1)(x^2+a_2x+b_2) \cdots (x^2+a_nx+b_n)$
Jun
8
answered Irreducible polynomial of $\sqrt{2}+\sqrt{7}$ on $\Bbb{Q}$.
Jun
7
answered How can we prove that $[ {c^n - (a^n+b^n)} + d^n ] / (ab-cd)$ will yield integers always?
Jun
7
answered Proving the inequality $2^{-1+\frac{1}{n}}\left(x+1\right)\leq\left(x^{n}+1\right)^{\frac{1}{n}}$ for $n\in\mathbb{N} $ and $x>0$
May
31
answered Galois extension of degree 75
May
31
answered Show that $f=x^3+7x+5$ has no roots in $\mathbb {Q}(\sqrt[4]{2})$
May
28
answered find all continuous functions $f:\mathbb{R}^n \rightarrow \mathbb{R}$ satisfying $f(x+y)+f(x-y)=2f(x)+2f(y)$ for all $x,y \in \mathbb{R}^n$
May
27
answered Number theory, prime numbers
May
27
answered how to show that$ n<{2n \choose n}$ in sets
May
25
asked Interpolation with nonvanishing constraint
May
25
answered Three planes in general position, one point in each, construct sections
May
24
answered Show that $|\operatorname{Aut}(\mathbb{Q}(\sqrt[10]2))|=2$
May
17
answered Matrices over $\mathbb{Q}[x,y,z]$ which are not equivalent
May
11
asked Three planes in general position, one point in each, construct sections
May
11
answered Extrema of quartic functions
May
8
answered Power series related to Bernoulli numbers