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Why Can't $\delta$ depend on $x$ in $\delta-\epsilon$ Proofs

score 2.1k · Answer 1 · 2026-03-25 01:27:11

2.1k

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Why Can't $\delta$ depend on $x$ in $\delta-\epsilon$ Proofs

Published on 25 Mar 2026 - 1:27

score 172 · Answer 2 · 2026-04-09 03:42:06

172

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counting set bits of a natural number

Published on 09 Apr 2026 - 3:42

score 120 · Answer 3 · 2026-03-25 17:44:05

120

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Finite Field has Finite Characteristic

Published on 25 Mar 2026 - 17:44

score 1.3k · Answer 4 · 2026-03-25 08:05:57

1.3k

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Invertible Matrix Theorem Proof

Published on 25 Mar 2026 - 8:05

score 90 · Answer 5 · 2026-03-29 08:15:11

90

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Let $\{c_n\}$ be a sequence and $\{c_{n_i}\}$ any subsequence. Show if $\sum c_n$ is absolutely convergent, then ...

Published on 29 Mar 2026 - 8:15

score 757 · Answer 6 · 2018-03-12 01:43:01

757

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Let $A, B, C$, and $D$ be sets with $C \subseteq A$ and $D \subseteq B$. Prove that $D-A \subseteq B-C$.

Published on 12 Mar 2018 - 1:43

score 2k · Answer 7 · 2026-03-25 09:22:44

2k

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Hyperbola with Perpendicular Asymptotes

Published on 25 Mar 2026 - 9:22

score 80 · Answer 8 · 2026-04-11 08:20:47

80

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Direct proof problem

Published on 11 Apr 2026 - 8:20

score 748 · Answer 9 · 2026-03-28 23:16:41

748

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Prove that $x=-1$ if and only if $x^3+x^2+x+1=0$

Published on 28 Mar 2026 - 23:16

score 100 · Answer 10 · 2026-04-09 00:04:10

100

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Writing a short but rigorous proof

Published on 09 Apr 2026 - 0:04

score 63 · Answer 11 · 2018-03-13 04:38:26

63

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Concise proof for showing $S = (\mathbb{R}\times \mathbb{R})/\{(0, 0)\}$ is closed

Published on 13 Mar 2018 - 4:38

score 1k · Answer 12 · 2026-03-26 07:39:05

1k

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Use induction to show that any integer greater than 3 can be represented as a sum of 2s and 5s.

Published on 26 Mar 2026 - 7:39

score 548 · Answer 13 · 2018-03-13 17:20:07

let $m,n$ be two positive integers. prove that if $4$ does not divide $mn$, then $2$ does not divide $m$ or $2$ does not divide $n$

score 106 · Answer 14 · 2026-04-11 17:24:23

106

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Direct Proof - $ac\leq bc \Rightarrow c \leq 0$

Published on 11 Apr 2026 - 17:24

score 4.1k · Answer 15 · 2026-03-25 02:48:34

4.1k

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Proving that in a simple graph with $n$ vertices, two vertices have the same degree

Published on 25 Mar 2026 - 2:48

List Question

Why Can't $\delta$ depend on $x$ in $\delta-\epsilon$ Proofs

counting set bits of a natural number

Finite Field has Finite Characteristic

Invertible Matrix Theorem Proof

Let $\{c_n\}$ be a sequence and $\{c_{n_i}\}$ any subsequence. Show if $\sum c_n$ is absolutely convergent, then ...

Let $A, B, C$, and $D$ be sets with $C \subseteq A$ and $D \subseteq B$. Prove that $D-A \subseteq B-C$.

Hyperbola with Perpendicular Asymptotes

Direct proof problem

Prove that $x=-1$ if and only if $x^3+x^2+x+1=0$

Writing a short but rigorous proof

Concise proof for showing $S = (\mathbb{R}\times \mathbb{R})/\{(0, 0)\}$ is closed

Use induction to show that any integer greater than 3 can be represented as a sum of 2s and 5s.

let $m,n$ be two positive integers. prove that if $4$ does not divide $mn$, then $2$ does not divide $m$ or $2$ does not divide $n$

Direct Proof - $ac\leq bc \Rightarrow c \leq 0$

Proving that in a simple graph with $n$ vertices, two vertices have the same degree

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