Question

Let $(a_n)$ and $(b_n)$ be Cauchy sequences of rationals. Then $(a_nb_n)$ is Cauchy sequence

score 808 · Answer 1 · 2026-04-16 12:28:10

808

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Let $(a_n)$ and $(b_n)$ be Cauchy sequences of rationals. Then $(a_nb_n)$ is Cauchy sequence

Published on 16 Apr 2026 - 12:28

score 113 · Answer 2 · 2026-04-14 03:17:04

113

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Homomorphism $f: \mathbb{Z}_{12} \longrightarrow \mathbb{Z}_{30}$

Published on 14 Apr 2026 - 3:17

score 49 · Answer 3 · 2026-04-13 07:25:16

49

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Lecture notes proof verification - Intermediate Value Theorem

Published on 13 Apr 2026 - 7:25

score 635 · Answer 4 · 2026-04-17 12:33:10

635

Views

Solving y = 1/4 log(2) (8x – 56)^16 – 12

Published on 17 Apr 2026 - 12:33

score 395 · Answer 5 · 2026-04-10 22:32:38

395

Views

Probability of extracting a ball after two balls were swapped

Published on 10 Apr 2026 - 22:32

score 200 · Answer 6 · 2026-04-16 03:10:03

200

Views

Show that if $f:[a,b]\rightarrow \mathbb{R}$ is continuous and $[a,b]\subseteq f([a,b])$ then there exists a fixed point $f(x)=x$

Published on 16 Apr 2026 - 3:10

score 146 · Answer 7 · 2026-04-12 08:46:31

146

Views

Basic application of the Nullstellensatz to locus of hypersurfaces

Published on 12 Apr 2026 - 8:46

score 1.7k · Answer 8 · 2026-04-09 12:40:55

1.7k

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What are the semi-direct products of $\mathbb{Z}$ with itself? (Check my work please)

Published on 09 Apr 2026 - 12:40

score 212 · Answer 9 · 2026-04-11 02:28:13

212

Views

Proof by Induction: Summation

Published on 11 Apr 2026 - 2:28

score 62 · Answer 10 · 2026-04-29 06:30:35

62

Views

$[0,1]$ is compact regarding the basis $\mathscr{B}=\{\{q\}:q\in\mathbb{Q}\cap[0,1]\}\cup\{]a,b[:0\leqslant a<b\leqslant 1\}\}$

Published on 29 Apr 2026 - 6:30

score 38 · Answer 11 · 2026-04-08 23:21:27

38

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How to prove by method of induction a statement with factorials

Published on 08 Apr 2026 - 23:21

score 358 · Answer 12 · 2026-04-17 07:24:07

358

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Irreducible components of hypersurface

Published on 17 Apr 2026 - 7:24

score 124 · Answer 13 · 2026-04-15 21:34:14

124

Views

$x^{\log_5 3}=-6$,Solve for x

Published on 15 Apr 2026 - 21:34

score 616 · Answer 14 · 2026-04-11 21:24:04

616

Views

Proof of a property of the trace of a product of two operators, using Dirac bra-ket notation

Published on 11 Apr 2026 - 21:24

score 132 · Answer 15 · 2026-04-11 21:56:43

132

Views

Solution for unknown variable in general form for the equation of a line

Published on 11 Apr 2026 - 21:56

List Question

Let $(a_n)$ and $(b_n)$ be Cauchy sequences of rationals. Then $(a_nb_n)$ is Cauchy sequence

Homomorphism $f: \mathbb{Z}_{12} \longrightarrow \mathbb{Z}_{30}$

Lecture notes proof verification - Intermediate Value Theorem

Solving y = 1/4 log(2) (8x – 56)^16 – 12

Probability of extracting a ball after two balls were swapped

Show that if $f:[a,b]\rightarrow \mathbb{R}$ is continuous and $[a,b]\subseteq f([a,b])$ then there exists a fixed point $f(x)=x$

Basic application of the Nullstellensatz to locus of hypersurfaces

What are the semi-direct products of $\mathbb{Z}$ with itself? (Check my work please)

Proof by Induction: Summation

$[0,1]$ is compact regarding the basis $\mathscr{B}=\{\{q\}:q\in\mathbb{Q}\cap[0,1]\}\cup\{]a,b[:0\leqslant a<b\leqslant 1\}\}$

How to prove by method of induction a statement with factorials

Irreducible components of hypersurface

$x^{\log_5 3}=-6$,Solve for x

Proof of a property of the trace of a product of two operators, using Dirac bra-ket notation

Solution for unknown variable in general form for the equation of a line

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