List questions from alternative-proof | MathQa

Let $\{a_n\}$ be a sequence, $a,b$ given so that $\lim\limits_{n\rightarrow\infty} a_n=a$ and $\lim\limits_{n\rightarrow\infty} a_n=b$, then $a=b$.

Published on 28 Dec 2024 - 20:32

Linear maps preserving the determinant and Hermiticity

Published on 02 Jan 2025 - 13:27

Let $f(x) = 1$ for rational numbers $x$, and $f(x)=0$ for irrational numbers. Show $f$ is discontinuous at every $x$ in $\mathbb{R}$

Published on 12 Jan 2025 - 8:28

Symmetric proof for the probability of real roots of a quadratic with exponentially distributed parameters

Published on 12 Jan 2025 - 8:36

Characteristic polynomial of adjoint

Published on 12 Jan 2025 - 8:26

Proof that $|d(x,y) + d(y,z)| \leq d(x,z)$

Published on 02 Jan 2025 - 7:18

Proof of the Reverse Triangle Inequality

Published on 29 Dec 2024 - 3:16

The quotient of a Dedekind domain by a principal ideal is a principal ideal ring.

Published on 05 Jan 2025 - 5:36

If $\liminf\, |a_n|=0.$ Does there exists a subsequence of $\{a_n\}$ which has finite sum?

Published on 11 Jan 2025 - 6:39

If all continuous functions $f: X\subset \mathbb{R}\to \mathbb{R}$ are bounded then $X$ is compact

Published on 02 Jan 2025 - 22:24