List questions from examples-counterexamples

Published on 13 Jan 2020 - 10:43

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A structure around $n \equiv p^k \pmod q$?

Published on 13 Jan 2020 - 15:17

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A $\Bbb Z$-module that is not a direct sum of cyclic modules

Published on 30 Mar 2026 - 10:19

246

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Example of a non-quasiconvex function which is quasiconvex at a point

Published on 15 Jan 2020 - 17:47

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Asymptotic behavior of $n$-fold iterate near the origin

Published on 15 Jan 2020 - 20:57

66

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Does there exist analytic functions satisfying the following property?

Published on 26 Mar 2026 - 19:05

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Is the statement $(\exists x\psi(x)\rightarrow\forall x\theta(x))\vdash \forall x(\psi(x)\rightarrow\theta(x))$ true in intuitionistic/minimal logic?

Published on 31 Mar 2026 - 3:13

381

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Sum of endomorphisms that is not an endomorphism

Published on 29 Mar 2026 - 8:18

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Example of proof needing $\liminf = \limsup$

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prove that composition $g$ of $f$ is bijective then $f$ is injective and $g$ is surjective

Published on 01 Apr 2026 - 8:52

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Example of a sigma compact space which is not locally compact

Published on 01 Apr 2026 - 13:42

281

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If $H$ is a subgroup and $K$ is a normal subgroup of $G$ then $HK$ is a subgroup of $G$ but it need not be normal

Published on 29 Mar 2026 - 19:30

243

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Finding a special prime

Published on 29 Mar 2026 - 18:11

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Example of $f(x) +f(2x) \neq 0$

Published on 22 Jan 2020 - 20:53

89

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example of Sturm-Liouville problem with Lu=u'' differential operator

Published on 28 Mar 2026 - 1:25

List Question

Construction of an operator on $\ell^2$

A structure around $n \equiv p^k \pmod q$?

A $\Bbb Z$-module that is not a direct sum of cyclic modules

Example of a non-quasiconvex function which is quasiconvex at a point

Asymptotic behavior of $n$-fold iterate near the origin

Does there exist analytic functions satisfying the following property?

Is the statement $(\exists x\psi(x)\rightarrow\forall x\theta(x))\vdash \forall x(\psi(x)\rightarrow\theta(x))$ true in intuitionistic/minimal logic?

Sum of endomorphisms that is not an endomorphism

Example of proof needing $\liminf = \limsup$

prove that composition $g$ of $f$ is bijective then $f$ is injective and $g$ is surjective

Example of a sigma compact space which is not locally compact

If $H$ is a subgroup and $K$ is a normal subgroup of $G$ then $HK$ is a subgroup of $G$ but it need not be normal

Finding a special prime

Example of $f(x) +f(2x) \neq 0$

example of Sturm-Liouville problem with Lu=u'' differential operator

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