List questions from solution-verification

Published on 16 Apr 2026 - 9:09

32

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If $f(x)=\cos(\log_ex)$, find the value of $(\frac{1}{x})f(\frac{1}{y})-\frac{1}{2}\{ f(xy)+f(\frac{x}{y}) \}$

Published on 16 Apr 2026 - 18:25

186

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Cadlag adapted processes with bounded jumps are locally bounded.

Published on 08 Apr 2026 - 21:49

74

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Verification of solution: Injectivity, surjectivity, preimage of $f(x)=x^2-x$ for $x\geq0$, $f(x)=-x$ for $x\lt 0$

Published on 16 Apr 2026 - 3:48

300

Views

(Proof-check) Alternative formula for the total variation

Published on 26 Mar 2026 - 14:18

93

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The set "T" mapped on all real numbers. Fairly "T" seems to be subset of set "S"

Published on 15 Apr 2026 - 5:32

97

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Show the set $\{(x,y) \in \mathbb{Z} \times \mathbb{Z} : 3x+y=4\}$ is a function from $\mathbb{Z}$ to $ \mathbb{Z}$.

Published on 09 Apr 2026 - 8:04

300

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Continuity is a local property: topology, proof

Published on 15 Apr 2026 - 16:05

179

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The intersection of maximal subgroups of a group lies in a maximal subgroup of that group

Published on 13 Apr 2026 - 9:32

104

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Proof $P(\limsup X_n=5)=1$

Published on 14 Apr 2026 - 21:40

286

Views

Finding minimal polynomial of lower triangular matrix

Published on 14 Apr 2026 - 1:32

82

Views

Fourier serie find $c_n$

Published on 11 Apr 2026 - 12:58

26

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Finding $g(N)$ for $T(N)= \frac{\exp(N^3)}{\lg N}$ such that $T(N) = \Theta(g(N))$

Published on 19 Apr 2026 - 9:29

49

Views

Abstract Algebra: Normal Subgroups

Published on 13 Apr 2026 - 12:52

147

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Why does $\frac{|\sin\theta|}{2}<\frac{|\theta|}{2}<\frac{|\tan\theta|}{2}$ not imply that $1>\lim_{\theta\to 0}\frac{\sin\theta}{\theta}>1$?

Published on 15 Apr 2026 - 21:27

List Question

Prove that the homomorphism $f$ is an isomorphism

If $f(x)=\cos(\log_ex)$, find the value of $(\frac{1}{x})f(\frac{1}{y})-\frac{1}{2}\{ f(xy)+f(\frac{x}{y}) \}$

Cadlag adapted processes with bounded jumps are locally bounded.

Verification of solution: Injectivity, surjectivity, preimage of $f(x)=x^2-x$ for $x\geq0$, $f(x)=-x$ for $x\lt 0$

(Proof-check) Alternative formula for the total variation

The set "T" mapped on all real numbers. Fairly "T" seems to be subset of set "S"

Show the set $\{(x,y) \in \mathbb{Z} \times \mathbb{Z} : 3x+y=4\}$ is a function from $\mathbb{Z}$ to $ \mathbb{Z}$.

Continuity is a local property: topology, proof

The intersection of maximal subgroups of a group lies in a maximal subgroup of that group

Proof $P(\limsup X_n=5)=1$

Finding minimal polynomial of lower triangular matrix

Fourier serie find $c_n$

Finding $g(N)$ for $T(N)= \frac{\exp(N^3)}{\lg N}$ such that $T(N) = \Theta(g(N))$

Abstract Algebra: Normal Subgroups

Why does $\frac{|\sin\theta|}{2}<\frac{|\theta|}{2}<\frac{|\tan\theta|}{2}$ not imply that $1>\lim_{\theta\to 0}\frac{\sin\theta}{\theta}>1$?

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