List questions from proof-verification

Published on 23 Mar 2018 - 1:34

3.8k

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Proving that if $n$ is odd, then $n^2=8k+1 \text{ for some } k\in\mathbb{Z}$

Published on 23 Mar 2018 - 1:54

96

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Proving if $f \circ h$ = $g \circ h$, then $f = g$ for all functions $F$.

Published on 23 Mar 2018 - 3:13

28

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proving that $\forall(\epsilon>0)\exists(\delta>0)\forall(x\geq1)\forall(y\geq1)(|x-y|<\delta \implies|\frac {1}{x}-\frac{1}{y}|<\epsilon)$

Published on 25 Mar 2026 - 14:25

525

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Prob. 6, Sec. 3.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: How to find this limit?

Published on 23 Mar 2018 - 9:24

284

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Proof Verification - If E is an infinite subset of a compact set K, then E has a limit point in K

Published on 27 Mar 2026 - 16:47

57

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Find $\oint\limits_{|z-\frac{1}{3}|=3} z \text{Im}(z)\text{d}z$

Published on 23 Mar 2018 - 15:13

42

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Prove that closed subspaces of a compact space are compact as well.

Published on 27 Mar 2026 - 16:54

52

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Proof Verification/Help: Convergence of a recursively defined sequence

Published on 29 Mar 2026 - 6:29

68

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Some fundamental theory of calc 2 questions.

Published on 23 Mar 2018 - 19:44

79

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How can I find the other solutions of $\sqrt{i}$?

Published on 23 Mar 2018 - 20:23

1.9k

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Proof that $\sqrt{2}$ is irrational

Published on 29 Mar 2026 - 6:28

114

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$ab \equiv 1 \ (n)$ implies $a$ and $b$ coprime with $n$? [Proof Verification]

Published on 23 Mar 2018 - 22:32

70

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Are my proofs correct for basic addition properties for natural numbers?

Published on 24 Mar 2026 - 23:43

605

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Prove that resultant vectors of a linear transformation forms a basis if it is invertible.

Published on 27 Mar 2026 - 0:04

List Question

If $V=L$ then $L(\kappa) = H(\kappa)$

Proving that if $n$ is odd, then $n^2=8k+1 \text{ for some } k\in\mathbb{Z}$

Proving if $f \circ h$ = $g \circ h$, then $f = g$ for all functions $F$.

proving that $\forall(\epsilon>0)\exists(\delta>0)\forall(x\geq1)\forall(y\geq1)(|x-y|<\delta \implies|\frac {1}{x}-\frac{1}{y}|<\epsilon)$

Prob. 6, Sec. 3.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: How to find this limit?

Proof Verification - If E is an infinite subset of a compact set K, then E has a limit point in K

Find $\oint\limits_{|z-\frac{1}{3}|=3} z \text{Im}(z)\text{d}z$

Prove that closed subspaces of a compact space are compact as well.

Proof Verification/Help: Convergence of a recursively defined sequence

Some fundamental theory of calc 2 questions.

How can I find the other solutions of $\sqrt{i}$?

Proof that $\sqrt{2}$ is irrational

$ab \equiv 1 \ (n)$ implies $a$ and $b$ coprime with $n$? [Proof Verification]

Are my proofs correct for basic addition properties for natural numbers?

Prove that resultant vectors of a linear transformation forms a basis if it is invertible.

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