List questions from examples-counterexamples

Published on 31 Jul 2018 - 16:11

179

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Example of a complex function analytic only on angular neighbourhoods

Published on 25 Mar 2026 - 11:09

161

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Examples of smooth implicit curves and surfaces

Published on 22 Mar 2026 - 10:22

180

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Banach algebras with trivial center

Published on 25 Mar 2026 - 15:47

61

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$\int_{-1}^0 \sin^{2} (\frac{\pi}{2} f(x+1)) dx +\int_{0}^1 \cos^{2} (\frac{\pi}{2} f(x)) dx =?$

Published on 03 Aug 2018 - 1:12

130

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What are some really weird abelian categories?

Published on 03 Aug 2018 - 13:53

466

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The product of perfectly normal compact Hausdorff spaces is perfectly normal

Published on 25 Mar 2026 - 1:38

60

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Prove that $\frac{a}{2a+\beta b}+\frac{b}{\alpha b+\beta a}\ge \frac{2}{\alpha +\beta }$

Published on 05 Aug 2018 - 2:27

85

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Common root question on quadratics equations to show that $a+b+c=0$

Published on 05 Aug 2018 - 14:57

44

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Belongs or not?

Published on 10 Aug 2018 - 14:02

63

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Does the given statements means the same?

Published on 25 Mar 2026 - 11:08

137

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$f$ is a real valued function. $f$ is differentiable at a point. Does that imply $f$ is continuous in a neighbourhood of $a$?

Published on 11 Aug 2018 - 9:32

49

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Example of commutative ring with two elements that don't generate entire ring

Published on 13 Aug 2018 - 6:30

914

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Examples non experiments in probability

Published on 14 Aug 2018 - 12:11

53

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Find a chain of fields $F \subseteq E \subseteq K$, where $E \cong F[X]/(X^2 + X + 1)$ and $K \cong E[X]/(X^3 - a)$ for some $a \in E$.

Published on 14 Aug 2018 - 20:18

List Question

Expectation: Is this statment true or is there a counter example

Example of a complex function analytic only on angular neighbourhoods

Examples of smooth implicit curves and surfaces

Banach algebras with trivial center

$\int_{-1}^0 \sin^{2} (\frac{\pi}{2} f(x+1)) dx +\int_{0}^1 \cos^{2} (\frac{\pi}{2} f(x)) dx =?$

What are some really weird abelian categories?

The product of perfectly normal compact Hausdorff spaces is perfectly normal

Prove that $\frac{a}{2a+\beta b}+\frac{b}{\alpha b+\beta a}\ge \frac{2}{\alpha +\beta }$

Common root question on quadratics equations to show that $a+b+c=0$

Belongs or not?

Does the given statements means the same?

$f$ is a real valued function. $f$ is differentiable at a point. Does that imply $f$ is continuous in a neighbourhood of $a$?

Example of commutative ring with two elements that don't generate entire ring

Examples non experiments in probability

Find a chain of fields $F \subseteq E \subseteq K$, where $E \cong F[X]/(X^2 + X + 1)$ and $K \cong E[X]/(X^3 - a)$ for some $a \in E$.

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