Question

Using properties of congruence only, show that $x^2+7x+4$ is divisible by $3$ whenever $x=1+3k $for any integer $k$.

score 36 · Answer 1 · 2026-04-15 00:08:56

36

Views

Using properties of congruence only, show that $x^2+7x+4$ is divisible by $3$ whenever $x=1+3k $for any integer $k$.

Published on 15 Apr 2026 - 0:08

score 216 · Answer 2 · 2026-04-12 14:09:29

216

Views

I need some feedback on a proof from Peano axioms that $1a=a$

Published on 12 Apr 2026 - 14:09

score 50 · Answer 3 · 2026-04-11 11:16:55

50

Views

Locally compact spaces and filtrations

Published on 11 Apr 2026 - 11:16

score 578 · Answer 4 · 2026-03-25 01:22:39

578

Views

Finding the operator norm in $L^p$ spaces

Published on 25 Mar 2026 - 1:22

score 100 · Answer 5 · 2026-04-12 06:58:54

100

Views

Where should I search to see if a proof/identity has already been discovered? If it has, is it still "mine"?

Published on 12 Apr 2026 - 6:58

score 43 · Answer 6 · 2026-04-13 16:49:14

43

Views

Proof Check: Elementary LA Vector Space Question

Published on 13 Apr 2026 - 16:49

score 55 · Answer 7 · 2026-04-02 23:40:37

55

Views

Test $x_1=0, x_{n+1}=\frac{9+(x_n)^2}{6}$ for convergence and find its limit.

Published on 02 Apr 2026 - 23:40

score 1k · Answer 8 · 2026-04-15 07:53:57

1k

Views

Prove that $\sqrt{11}-1$ is irrational by contradiction

Published on 15 Apr 2026 - 7:53

score 94 · Answer 9 · 2026-04-14 21:26:41

94

Views

If Algorithms Count as Formal Proofs

Published on 14 Apr 2026 - 21:26

score 2.4k · Answer 10 · 2026-04-11 00:10:48

2.4k

Views

Prove that a function $g$ is Lipschitz with Lipschitz Constant without using the Mean Value Theorem.

Published on 11 Apr 2026 - 0:10

score 386 · Answer 11 · 2026-04-14 15:10:58

386

Views

If $C\subseteq [0,1]$ is uncountable then $C\cap[\alpha,1]$ is uncountable

Published on 14 Apr 2026 - 15:10

score 107 · Answer 12 · 2026-04-11 13:47:03

107

Views

How can I prove that $2a^2 + 2b^2 > ab$

Published on 11 Apr 2026 - 13:47

score 45 · Answer 13 · 2026-04-14 22:22:31

45

Views

Show $f:[1,\infty[\rightarrow[1,\infty[, x\mapsto x^x$ is bijective and continuous, and show continuity for $f^{-1}$

Published on 14 Apr 2026 - 22:22

score 44 · Answer 14 · 2026-04-03 01:17:50

44

Views

Find the limit of $d_1 = 1, d_{n+1}=1+\frac{d_n}{3}$

Published on 03 Apr 2026 - 1:17

score 536 · Answer 15 · 2026-04-11 22:13:04

536

Views

How to prove that in a tree with $3$ leaves there's exactly one vertex of degree $3$?

Published on 11 Apr 2026 - 22:13

List Question

Using properties of congruence only, show that $x^2+7x+4$ is divisible by $3$ whenever $x=1+3k $for any integer $k$.

I need some feedback on a proof from Peano axioms that $1a=a$

Locally compact spaces and filtrations

Finding the operator norm in $L^p$ spaces

Where should I search to see if a proof/identity has already been discovered? If it has, is it still "mine"?

Proof Check: Elementary LA Vector Space Question

Test $x_1=0, x_{n+1}=\frac{9+(x_n)^2}{6}$ for convergence and find its limit.

Prove that $\sqrt{11}-1$ is irrational by contradiction

If Algorithms Count as Formal Proofs

Prove that a function $g$ is Lipschitz with Lipschitz Constant without using the Mean Value Theorem.

If $C\subseteq [0,1]$ is uncountable then $C\cap[\alpha,1]$ is uncountable

How can I prove that $2a^2 + 2b^2 > ab$

Show $f:[1,\infty[\rightarrow[1,\infty[, x\mapsto x^x$ is bijective and continuous, and show continuity for $f^{-1}$

Find the limit of $d_1 = 1, d_{n+1}=1+\frac{d_n}{3}$

How to prove that in a tree with $3$ leaves there's exactly one vertex of degree $3$?

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