List questions from fake-proofs

Published on 18 Jul 2023 - 8:52

45

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Why are the probable candidates getting eliminated with this line of reasoning?

Published on 20 Jul 2023 - 9:03

110

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Prove that the equalities $A(B\cap C)=AB\cap AC$ and $(A\cap B)C=AC\cap BC$ do not generally hold.

Published on 22 Jul 2023 - 15:44

28

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If $A_i$ and $B_i$ are subset of $(X_i,*_i)$ then does the equality $\prod_{i∈I}A_i⋆\prod_{i∈I}B_i=\prod_{i∈I}(A_i⋆_i B_i)$ holds?

Published on 23 Jul 2023 - 10:36

88

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What is wrong with the following proof of the Second Fundamental Theorem of Integral Calculus?

Published on 03 Aug 2023 - 2:58

18

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Positive quadratic function in $\mathbb{R}$ for all real numbers requires a negative determinant

Published on 03 Aug 2023 - 14:08

76

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if $f[X]=f[Y]$ then $X=Y$???

Published on 03 Aug 2023 - 15:53

106

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Question on a proof that a space of linear map between normed spaces is a Banach space when the arrival space is a Banach space

Published on 04 Aug 2023 - 21:06

54

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Finding a recursive formula for $r$ permute $n$

Published on 09 Aug 2023 - 23:28

127

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A proof that $\int_{-1}^1\frac1xdx=0$

Published on 10 Aug 2023 - 18:05

48

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Is the statement about continuity of a linear function based on the closedness of its kernel always true?

Published on 12 Aug 2023 - 21:48

198

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Why series expansion doesn’t work

Published on 25 Mar 2026 - 5:58

51

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Problem when factoring operators

Published on 06 Sep 2023 - 4:27

2.5k

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u-substitution shows 0=1

Published on 07 Sep 2023 - 3:13

51

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Won't signed measures upset Riemann?

Published on 25 Mar 2026 - 9:23

List Question

Pdf of the radius of a 2D Gaussian for a fixed angle

Why are the probable candidates getting eliminated with this line of reasoning?

Prove that the equalities $A(B\cap C)=AB\cap AC$ and $(A\cap B)C=AC\cap BC$ do not generally hold.

If $A_i$ and $B_i$ are subset of $(X_i,*_i)$ then does the equality $\prod_{i∈I}A_i⋆\prod_{i∈I}B_i=\prod_{i∈I}(A_i⋆_i B_i)$ holds?

What is wrong with the following proof of the Second Fundamental Theorem of Integral Calculus?

Positive quadratic function in $\mathbb{R}$ for all real numbers requires a negative determinant

if $f[X]=f[Y]$ then $X=Y$???

Question on a proof that a space of linear map between normed spaces is a Banach space when the arrival space is a Banach space

Finding a recursive formula for $r$ permute $n$

A proof that $\int_{-1}^1\frac1xdx=0$

Is the statement about continuity of a linear function based on the closedness of its kernel always true?

Why series expansion doesn’t work

Problem when factoring operators

u-substitution shows 0=1

Won't signed measures upset Riemann?

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