List questions from self-learning

Published on 11 Apr 2026 - 13:18

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Proof of the limit laws (Analysis)

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$F = \{f\in C^1([0,1])| \hspace{2mm} \|f\|\leq M, \|f'\|\leq N\}$. Showing it is precompact and not closed.

Published on 28 Sep 2013 - 1:32

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Questions about coercive functions and its implications

Published on 10 Apr 2026 - 21:34

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Calculate the Burning Time for a Lamp

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Show convergence of a sequence of continuous functions $f_n$ to a continuous function $f$ does not imply convergence of corresponding integrals.

Published on 28 Sep 2013 - 22:13

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If $f^{-1}(G)$ is open in $X$ for every open set $G$ in $Y$, then $f$ is continuous. Question on proof.

Published on 29 Sep 2013 - 2:32

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Venn diagram question

Published on 08 Apr 2026 - 20:18

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Question on the convergence of $|x|^n\rightarrow 0$ when $|x|<1$.

Published on 29 Sep 2013 - 19:24

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Interspersing of integers by reals

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Determine the direction of given parametrization.

Published on 30 Sep 2013 - 14:19

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Independence of sigma-algebras

Published on 30 Sep 2013 - 15:49

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Please checking to find an arc-length reparametrization

Published on 30 Sep 2013 - 17:52

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Algebra Textbook

Published on 11 Apr 2026 - 0:19

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Question on the definition of infimum?

Published on 11 Apr 2026 - 7:18

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Exercise: product of transposition

Proof of the limit laws (Analysis)

$F = \{f\in C^1([0,1])| \hspace{2mm} \|f\|\leq M, \|f'\|\leq N\}$. Showing it is precompact and not closed.

Questions about coercive functions and its implications

Calculate the Burning Time for a Lamp

Show convergence of a sequence of continuous functions $f_n$ to a continuous function $f$ does not imply convergence of corresponding integrals.

If $f^{-1}(G)$ is open in $X$ for every open set $G$ in $Y$, then $f$ is continuous. Question on proof.

Venn diagram question

Question on the convergence of $|x|^n\rightarrow 0$ when $|x|<1$.

Interspersing of integers by reals

Determine the direction of given parametrization.

Independence of sigma-algebras

Please checking to find an arc-length reparametrization

Algebra Textbook

Question on the definition of infimum?

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