Question

Connectedness of Cofinite Topology

score 1.1k · Answer 1 · 2018-04-03 23:28:25

1.1k

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Connectedness of Cofinite Topology

Published on 03 Apr 2018 - 23:28

score 31 · Answer 2 · 2026-03-25 07:39:48

31

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Counting how many functions exist given a relation

Published on 25 Mar 2026 - 7:39

score 1.5k · Answer 3 · 2018-04-04 01:06:34

1.5k

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How to prove a piecewise function is 1-1

Published on 04 Apr 2018 - 1:06

score 64 · Answer 4 · 2026-03-25 11:51:58

64

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Elementary Number Theory: Quadratic Reciprocity

Published on 25 Mar 2026 - 11:51

score 53 · Answer 5 · 2026-03-25 07:49:06

53

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Proving That $R$ is an Equivalence Relation: Is This Solution Proof for Transitivity Incorrect?

Published on 25 Mar 2026 - 7:49

score 99 · Answer 6 · 2026-03-25 01:32:00

99

Views

Closed-form expression for a complicated equation

Published on 25 Mar 2026 - 1:32

score 78 · Answer 7 · 2026-03-25 19:07:06

78

Views

Show that $\bigg|\int_{0}^{T}\overline {f(t)}g(t)~dt\bigg|^{2}\le\frac{T^{2}}{4\pi^{2}}\int_{0}^{T}|f(t)|^{2}dt\int_{0}^{T}|g'(t)|^{2}dt$

Published on 25 Mar 2026 - 19:07

score 114 · Answer 8 · 2026-03-27 03:49:44

114

Views

Showing convergence of joint random variables

Published on 27 Mar 2026 - 3:49

score 306 · Answer 9 · 2026-03-26 01:12:12

306

Views

Prove that if $\lim_{x\rightarrow c}f(x)=L$ and $\lim_{x\rightarrow c}g(x)=M$ then $\lim_{x\rightarrow c}f(x)g(x)=LM$.

Published on 26 Mar 2026 - 1:12

score 287 · Answer 10 · 2026-03-25 00:02:53

287

Views

The limit of a coproduct (of functors) is the product of the limits

Published on 25 Mar 2026 - 0:02

score 134 · Answer 11 · 2018-04-04 08:40:14

134

Views

Proving a positive continuous function on $\mathbb{R}$ with $\lim\limits_{x\rightarrow\pm\infty}f(x) = 0$ has a maximum, with somewhat of a twist

Published on 04 Apr 2018 - 8:40

score 671 · Answer 12 · 2018-04-04 11:03:29

671

Views

Find the value of $\lim \limits_{x \to \pi /3} \frac{(1-\cos6x)^{1/2}}{\sqrt 2 (\frac \pi3 - x)}$

Published on 04 Apr 2018 - 11:03

score 311 · Answer 13 · 2018-04-04 11:11:18

311

Views

$(X \times Y) \setminus (A \times B)$ is connected.

Published on 04 Apr 2018 - 11:11

score 140 · Answer 14 · 2018-04-04 16:42:52

140

Views

Proof verification: derivative of $x^n$

Published on 04 Apr 2018 - 16:42

score 41 · Answer 15 · 2026-03-25 01:35:25

41

Views

Help with proof in Linear Algebra (rank, dual base, beginner level)

Published on 25 Mar 2026 - 1:35

List Question

Connectedness of Cofinite Topology

Counting how many functions exist given a relation

How to prove a piecewise function is 1-1

Elementary Number Theory: Quadratic Reciprocity

Proving That $R$ is an Equivalence Relation: Is This Solution Proof for Transitivity Incorrect?

Closed-form expression for a complicated equation

Show that $\bigg|\int_{0}^{T}\overline {f(t)}g(t)~dt\bigg|^{2}\le\frac{T^{2}}{4\pi^{2}}\int_{0}^{T}|f(t)|^{2}dt\int_{0}^{T}|g'(t)|^{2}dt$

Showing convergence of joint random variables

Prove that if $\lim_{x\rightarrow c}f(x)=L$ and $\lim_{x\rightarrow c}g(x)=M$ then $\lim_{x\rightarrow c}f(x)g(x)=LM$.

The limit of a coproduct (of functors) is the product of the limits

Proving a positive continuous function on $\mathbb{R}$ with $\lim\limits_{x\rightarrow\pm\infty}f(x) = 0$ has a maximum, with somewhat of a twist

Find the value of $\lim \limits_{x \to \pi /3} \frac{(1-\cos6x)^{1/2}}{\sqrt 2 (\frac \pi3 - x)}$

$(X \times Y) \setminus (A \times B)$ is connected.

Proof verification: derivative of $x^n$

Help with proof in Linear Algebra (rank, dual base, beginner level)

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