Question

Prove from first principles that if $x_n \rightarrow x$ as $n \rightarrow \infty$, then $|x_n| \rightarrow |x|$.

score 105 · Answer 1 · 2026-03-30 06:29:20

105

Views

Prove from first principles that if $x_n \rightarrow x$ as $n \rightarrow \infty$, then $|x_n| \rightarrow |x|$.

Published on 30 Mar 2026 - 6:29

score 310 · Answer 2 · 2026-03-26 09:18:08

310

Views

Proving $\forall x\forall y(P(x) \to Q(y)) \vdash \exists x(P(x) \to \forall y \, Q(y))$ using natural deduction.

Published on 26 Mar 2026 - 9:18

score 511 · Answer 3 · 2026-04-03 19:45:37

511

Views

Contest math problem on divisibility and congruence

Published on 03 Apr 2026 - 19:45

score 64 · Answer 4 · 2026-04-08 16:09:42

64

Views

Closed Subset of a Compact Set (Proof Verification)

Published on 08 Apr 2026 - 16:09

score 220 · Answer 5 · 2020-04-17 20:50:30

220

Views

Verification of proof for bijective mapping from a subgroup $H$ to a coset $aH$.

Published on 17 Apr 2020 - 20:50

score 73 · Answer 6 · 2020-04-17 20:56:15

73

Views

Is this proof of Markov's inequality correct?

Published on 17 Apr 2020 - 20:56

score 53 · Answer 7 · 2026-03-25 16:13:16

53

Views

Verifying the global maxima of a smooth function using Dirichlet Series?

Published on 25 Mar 2026 - 16:13

score 81 · Answer 8 · 2020-04-17 22:17:10

81

Views

Can someone Check my proof? It feels weird that I didn't really have to do anything.

Published on 17 Apr 2020 - 22:17

score 1.2k · Answer 9 · 2026-03-29 04:02:51

1.2k

Views

Let $T,U:V\to W$ be linear transformations. Prove that if $W$ is finite-dimensional, then $\text{rank}(T+U)\leq\text{rank}(T) + \text{rank}(U)$.

Published on 29 Mar 2026 - 4:02

score 83 · Answer 10 · 2026-04-07 11:33:57

83

Views

Is the proof of those 2 questions the same?

Published on 07 Apr 2026 - 11:33

score 192 · Answer 11 · 2020-04-18 00:55:05

192

Views

Matrix, and Differential Equation Solution Verification

Published on 18 Apr 2020 - 0:55

score 40 · Answer 12 · 2020-04-18 01:13:53

40

Views

Proof sequence by induction

Published on 18 Apr 2020 - 1:13

score 311 · Answer 13 · 2026-04-02 01:33:49

311

Views

Every irreducible polynomial over $\mathbb F_p$ has a root in $\mathbb F_{p^{\deg f}}$

Published on 02 Apr 2026 - 1:33

score 19 · Answer 14 · 2026-03-30 14:53:02

19

Views

Proving value that maximizes function increases when function is multiplied by increasing function

Published on 30 Mar 2026 - 14:53

score 79 · Answer 15 · 2020-04-18 09:48:43

79

Views

Proving that if a group is the product of two subgroups, then it is also the product of any conjugates of the subgroups

Published on 18 Apr 2020 - 9:48

List Question

Prove from first principles that if $x_n \rightarrow x$ as $n \rightarrow \infty$, then $|x_n| \rightarrow |x|$.

Proving $\forall x\forall y(P(x) \to Q(y)) \vdash \exists x(P(x) \to \forall y \, Q(y))$ using natural deduction.

Contest math problem on divisibility and congruence

Closed Subset of a Compact Set (Proof Verification)

Verification of proof for bijective mapping from a subgroup $H$ to a coset $aH$.

Is this proof of Markov's inequality correct?

Verifying the global maxima of a smooth function using Dirichlet Series?

Can someone Check my proof? It feels weird that I didn't really have to do anything.

Let $T,U:V\to W$ be linear transformations. Prove that if $W$ is finite-dimensional, then $\text{rank}(T+U)\leq\text{rank}(T) + \text{rank}(U)$.

Is the proof of those 2 questions the same?

Matrix, and Differential Equation Solution Verification

Proof sequence by induction

Every irreducible polynomial over $\mathbb F_p$ has a root in $\mathbb F_{p^{\deg f}}$

Proving value that maximizes function increases when function is multiplied by increasing function

Proving that if a group is the product of two subgroups, then it is also the product of any conjugates of the subgroups

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