List questions from examples-counterexamples

Published on 11 Apr 2026 - 18:57

110

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Example of an integral not converging

Published on 11 Apr 2026 - 2:41

152

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$L^1(\mathbb{R}^n)$ functions not in $\mathcal{H}^1(\mathbb{R}^n)$

Published on 14 Apr 2026 - 22:59

433

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Looking for a counter example - Normal subgroups and quotient group

Published on 15 Apr 2026 - 11:58

64

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Significance of low order terms in base expansion of integer square root

Published on 10 Apr 2026 - 20:27

2.6k

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Show a convergent series $\sum a_n$, but $\sum a_n^p$ is not convergent

Published on 14 Apr 2026 - 5:46

406

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Example of a function between boolean lattices that preserves $(\top,\bot,\wedge,\vee)$ but not complements.

Published on 14 Apr 2026 - 4:28

12.4k

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Real life examples of commutative but non-associative operations

Published on 10 Apr 2026 - 18:13

574

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Uniquely complemented lattice that is non-modular

Published on 11 Apr 2026 - 21:19

107

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Does $\phi\circ g$ convex imply $\phi\circ f\circ g$ convex?

Published on 16 Apr 2026 - 13:41

1.3k

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Maximal ideals in $C^\infty(\mathbb{R})$

Published on 13 Apr 2026 - 22:46

9.6k

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Example of continuous but not absolutely continuous strictly increasing function

Published on 12 Apr 2026 - 4:18

118

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Restricted continuity implies continuity

Published on 17 Apr 2026 - 10:25

121

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Find a group $G$ that has elements $V$ and $H$ both with order $2$ and the order of $VH$ is $3$.

Published on 15 Apr 2026 - 13:25

650

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Counterexample: multiplying modules by elements of an ideal vs. taking linear combinations

Published on 14 Apr 2026 - 15:48

List Question

Example of a finite non-commutative ring without a unity

Example of an integral not converging

$L^1(\mathbb{R}^n)$ functions not in $\mathcal{H}^1(\mathbb{R}^n)$

Looking for a counter example - Normal subgroups and quotient group

Significance of low order terms in base expansion of integer square root

Show a convergent series $\sum a_n$, but $\sum a_n^p$ is not convergent

Example of a function between boolean lattices that preserves $(\top,\bot,\wedge,\vee)$ but not complements.

Real life examples of commutative but non-associative operations

Uniquely complemented lattice that is non-modular

Does $\phi\circ g$ convex imply $\phi\circ f\circ g$ convex?

Maximal ideals in $C^\infty(\mathbb{R})$

Example of continuous but not absolutely continuous strictly increasing function

Restricted continuity implies continuity

Find a group $G$ that has elements $V$ and $H$ both with order $2$ and the order of $VH$ is $3$.

Counterexample: multiplying modules by elements of an ideal vs. taking linear combinations

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