List questions from proof-verification

Published on 13 Apr 2026 - 1:16

168

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If $f$ is continuous then $G_f \subset M \times \mathbb{R}$ is closed.

Published on 16 Oct 2018 - 4:38

211

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Why isn't Legendre's Conjecture resolved by the work done by Nair and Hanson in relation to Least Common Multiples?

Published on 09 Apr 2026 - 7:33

65

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Sequential Compactness implies compactness.

Published on 13 Apr 2026 - 1:33

1.8k

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Homotopic maps induce the same homomorphism for reduced homology groups

Published on 31 Mar 2026 - 8:44

31

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Show that $\log_b{(y\cdot z)} = \log_b(y)+log_b(z)$

Published on 16 Oct 2018 - 9:57

1.3k

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Proof of $f^{-1}(A) \cap f^{-1}(B)= f^{-1}(A \cap B)$

Published on 16 Oct 2018 - 11:30

928

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What is the proof of the fact "a positive definite matrix has a unique positive definite square root"?

Published on 11 Apr 2026 - 21:32

55

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Dual Transformation is 1-1 implies tranformation is onto

Published on 25 Mar 2026 - 14:22

78

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Open set in $\Bbb{R}^4$ [ Direct Proof]

Published on 10 Apr 2026 - 16:49

1.6k

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Calculating Null T and Range T for the linear transformation $T(x,y,z)=(x+2y-z,y+z,x+y-2z)$?

Published on 02 Apr 2026 - 7:05

59

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Proving a contrapositive of the ratio test for sequences.

Published on 16 Oct 2018 - 16:15

118

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A Lemma in Transfinite Recursion Theorem

Published on 11 Apr 2026 - 16:56

1k

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Finding density and distribution of $X=\tan(\theta)$?

Published on 10 Apr 2026 - 3:25

89

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Show that a function cannot be expressed as a strictly increasing transformation of another function

Published on 10 Apr 2026 - 6:26

List Question

Proving $A\subset B\implies |A|\leq |B|$

If $f$ is continuous then $G_f \subset M \times \mathbb{R}$ is closed.

Why isn't Legendre's Conjecture resolved by the work done by Nair and Hanson in relation to Least Common Multiples?

Sequential Compactness implies compactness.

Homotopic maps induce the same homomorphism for reduced homology groups

Show that $\log_b{(y\cdot z)} = \log_b(y)+log_b(z)$

Proof of $f^{-1}(A) \cap f^{-1}(B)= f^{-1}(A \cap B)$

What is the proof of the fact "a positive definite matrix has a unique positive definite square root"?

Dual Transformation is 1-1 implies tranformation is onto

Open set in $\Bbb{R}^4$ [ Direct Proof]

Calculating Null T and Range T for the linear transformation $T(x,y,z)=(x+2y-z,y+z,x+y-2z)$?

Proving a contrapositive of the ratio test for sequences.

A Lemma in Transfinite Recursion Theorem

Finding density and distribution of $X=\tan(\theta)$?

Show that a function cannot be expressed as a strictly increasing transformation of another function

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