List questions from solution-verification

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Find locus of point

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If $|{z}|=\max\big\{|{z}+2|,|{z}-2|\big\}$, then which is true: $|z\pm \bar{z}|=2$ or $|z\pm \bar{z}|=1/2$?

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Zeros and poles of rational function.

Published on 12 Apr 2026 - 5:39

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Is my proof for $f$ is convex iff $f'$ is monotonically increasing correct?

Published on 16 Apr 2026 - 17:55

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What is the value of $1 -\omega^h + \omega^{2h} -...+(-1)^{n-1} \omega^{(n-1)h}$ when $\omega$ is a root of unity?

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For which primes $p$ and positive integers $k$ is the deficiency $D(p^k)$ equal to the arithmetic derivative of $p^k$?

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$\Bbb{R}^n$ and $\Bbb{R}$ are isomorphic as vector spaces over $\Bbb{Q}$.

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Differentiating under the Integral with Carathéodory.

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Proof $\exists\alpha$ s.t. $P(X>\alpha)>0$ if $P(X>0)>0$

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Equality of an Inequality

Published on 09 Apr 2026 - 0:15

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A sequence $f_n \to f$ uniformly on $(0,1)$ where $f, f_n \in C([0,1])$ implies $f_n(0) \to f(0)$, $f_n(1) \to f(1)$.

Published on 15 Apr 2026 - 20:11

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My proof of $A^{\mathrm{c}}$ is closed iff $A$ is open

Published on 10 Apr 2026 - 16:43

List Question

Find all minimal and maximal elements of $B$

Solution verification to a linear algebra 1 exam task

Find locus of point

If $|{z}|=\max\big\{|{z}+2|,|{z}-2|\big\}$, then which is true: $|z\pm \bar{z}|=2$ or $|z\pm \bar{z}|=1/2$?

Distance between two closed subsets of $\mathbb{R}$

Zeros and poles of rational function.

Is my proof for $f$ is convex iff $f'$ is monotonically increasing correct?

What is the value of $1 -\omega^h + \omega^{2h} -...+(-1)^{n-1} \omega^{(n-1)h}$ when $\omega$ is a root of unity?

For which primes $p$ and positive integers $k$ is the deficiency $D(p^k)$ equal to the arithmetic derivative of $p^k$?

$\Bbb{R}^n$ and $\Bbb{R}$ are isomorphic as vector spaces over $\Bbb{Q}$.

Differentiating under the Integral with Carathéodory.

Proof $\exists\alpha$ s.t. $P(X>\alpha)>0$ if $P(X>0)>0$

Equality of an Inequality

A sequence $f_n \to f$ uniformly on $(0,1)$ where $f, f_n \in C([0,1])$ implies $f_n(0) \to f(0)$, $f_n(1) \to f(1)$.

My proof of $A^{\mathrm{c}}$ is closed iff $A$ is open

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