Question

Proving $a\ne{b}\implies{a<b}\lor{b<a}$ for natural numbers beginning with 1 using Peano's Axioms without induction hypothesis

score 249 · Answer 1 · 2026-04-15 02:50:46

249

Views

Proving $a\ne{b}\implies{a<b}\lor{b<a}$ for natural numbers beginning with 1 using Peano's Axioms without induction hypothesis

Published on 15 Apr 2026 - 2:50

score 145 · Answer 2 · 2026-04-15 00:52:33

145

Views

Prove that every infinite set has a countable subset (non constructive proof)

Published on 15 Apr 2026 - 0:52

score 25 · Answer 3 · 2026-04-08 19:37:17

25

Views

Solution verification: Calculating a value using iterated sum/product notation

Published on 08 Apr 2026 - 19:37

score 348 · Answer 4 · 2026-04-16 04:09:34

348

Views

Show that every metrizable space with a countable dense subset has a countable basis

Published on 16 Apr 2026 - 4:09

score 109 · Answer 5 · 2026-04-13 09:40:58

(Proof-verification) Prove that a consistent linear system Ax = b has infinitely many solutions if and only if Ax = 0 has a nontrivial solution

score 125 · Answer 6 · 2026-04-17 13:03:24

125

Views

Big Oh Approximation of a Function

Published on 17 Apr 2026 - 13:03

score 54 · Answer 7 · 2026-05-11 02:18:18

54

Views

Error in proof of wick's theorem

Published on 11 May 2026 - 2:18

score 73 · Answer 8 · 2026-05-11 02:49:53

73

Views

I need to solve one equation, but I dont know how to solve equation with floor functions

Published on 11 May 2026 - 2:49

score 387 · Answer 9 · 2026-04-16 06:26:21

387

Views

Proving that $\int x^{x^{x^{.^{.......}}}} dx= \sum_{n=1}^{\infty}\frac {(-n)^{n-1}}{n!} \Gamma(n, -\ln x)$ [Proof Verification]

Published on 16 Apr 2026 - 6:26

score 474 · Answer 10 · 2026-04-14 07:49:44

474

Views

Prove Fibonacci Numbers $F_n$ and $F_{n+1}$ are relatively prime (induction with proof by contradiction?)

Published on 14 Apr 2026 - 7:49

score 58 · Answer 11 · 2026-04-09 10:48:44

58

Views

Proof on diagonalizable

Published on 09 Apr 2026 - 10:48

score 121 · Answer 12 · 2026-04-16 10:50:32

121

Views

Prove that a set is closed.

Published on 16 Apr 2026 - 10:50

score 25 · Answer 13 · 2026-04-15 21:19:18

25

Views

JProve $T_1$ is finite if there exists bijection from $T_1$ to another finite set $T_2$

Published on 15 Apr 2026 - 21:19

score 1.4k · Answer 14 · 2026-05-11 09:06:40

1.4k

Views

Problem on finding the set of biases and weights in a specific neural network

Published on 11 May 2026 - 9:06

score 118 · Answer 15 · 2026-04-15 22:51:49

118

Views

convergence radius of two specific power series

Published on 15 Apr 2026 - 22:51

List Question

Proving $a\ne{b}\implies{a<b}\lor{b<a}$ for natural numbers beginning with 1 using Peano's Axioms without induction hypothesis

Prove that every infinite set has a countable subset (non constructive proof)

Solution verification: Calculating a value using iterated sum/product notation

Show that every metrizable space with a countable dense subset has a countable basis

(Proof-verification) Prove that a consistent linear system Ax = b has infinitely many solutions if and only if Ax = 0 has a nontrivial solution

Big Oh Approximation of a Function

Error in proof of wick's theorem

I need to solve one equation, but I dont know how to solve equation with floor functions

Proving that $\int x^{x^{x^{.^{.......}}}} dx= \sum_{n=1}^{\infty}\frac {(-n)^{n-1}}{n!} \Gamma(n, -\ln x)$ [Proof Verification]

Prove Fibonacci Numbers $F_n$ and $F_{n+1}$ are relatively prime (induction with proof by contradiction?)

Proof on diagonalizable

Prove that a set is closed.

JProve $T_1$ is finite if there exists bijection from $T_1$ to another finite set $T_2$

Problem on finding the set of biases and weights in a specific neural network

convergence radius of two specific power series

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