List questions from alternative-proof

Published on 25 Mar 2026 - 14:22

38

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A problem on nowhere dense sets in metric spaces.

Published on 16 Apr 2020 - 4:34

363

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Proof request: a collection of sliced squares of size 1 to n can always form a nontrivial rectangle

Published on 16 Apr 2020 - 5:33

635

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Formal proof that a polynomial $f(x)$ of degree $n$ is $O(x^n)$ and $\Omega(x^n)$

Published on 16 Apr 2020 - 21:39

45

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Is there a simple proof for the behaviour of this solution?

Published on 27 Mar 2026 - 6:59

169

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Proving a complicated looking inequality in a simple way

Published on 26 Mar 2026 - 9:49

144

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Show that any simple set is the union of a finite number of mutually disjoint canonical intervals

Published on 17 Apr 2020 - 13:32

47

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A Turan-type inequality :$\Big(a^{(2b)^n}-b^{(2a)^n}\Big)^2\geq \Big(a^{(2b)^{n-1}}-b^{(2a)^{n-1}}\Big)\Big(a^{(2b)^{n+1}}-b^{(2a)^{n+1}}\Big)$

Published on 25 Mar 2026 - 17:41

54

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Proof by counterexample for $1+2+3+...+(n-1) = kn$

Published on 19 Apr 2020 - 3:56

169

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Minimize $|a-1|^3+|b-1|^3$ with constant product $ab=s$

Published on 26 Mar 2026 - 14:42

203

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Find all functions $f:$ $\mathbb{R}^{+} \rightarrow \mathbb{R}^{+}$ $ x^{2}(f(x)+f(y))=(x+y) f(f(x) y) $

Published on 30 Mar 2026 - 8:26

275

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Prove that $\cosh x > x$

Published on 26 Mar 2026 - 20:38

53

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Show that on an infinite set $X$,the set of all possible metrics has a cardinality of $2^X$.

Published on 30 Mar 2026 - 8:36

220

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Find all functions $f: \mathbb{N} \rightarrow \mathbb{N}$ which satisfy $ f\left(m^{2}+m n\right)=f(m)^{2}+f(m) f(n) $

Published on 30 Mar 2026 - 8:24

92

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Prove that A - I is nonsingular

Published on 21 Apr 2020 - 15:36

List Question

Integral solutions to $Nx^3=y^2+1$ by Gaussian integers

A problem on nowhere dense sets in metric spaces.

Proof request: a collection of sliced squares of size 1 to n can always form a nontrivial rectangle

Formal proof that a polynomial $f(x)$ of degree $n$ is $O(x^n)$ and $\Omega(x^n)$

Is there a simple proof for the behaviour of this solution?

Proving a complicated looking inequality in a simple way

Show that any simple set is the union of a finite number of mutually disjoint canonical intervals

A Turan-type inequality :$\Big(a^{(2b)^n}-b^{(2a)^n}\Big)^2\geq \Big(a^{(2b)^{n-1}}-b^{(2a)^{n-1}}\Big)\Big(a^{(2b)^{n+1}}-b^{(2a)^{n+1}}\Big)$

Proof by counterexample for $1+2+3+...+(n-1) = kn$

Minimize $|a-1|^3+|b-1|^3$ with constant product $ab=s$

Find all functions $f:$ $\mathbb{R}^{+} \rightarrow \mathbb{R}^{+}$ $ x^{2}(f(x)+f(y))=(x+y) f(f(x) y) $

Prove that $\cosh x > x$

Show that on an infinite set $X$,the set of all possible metrics has a cardinality of $2^X$.

Find all functions $f: \mathbb{N} \rightarrow \mathbb{N}$ which satisfy $ f\left(m^{2}+m n\right)=f(m)^{2}+f(m) f(n) $

Prove that A - I is nonsingular

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