Question

A proof that $L^{\infty}$ is complete

score 115 · Answer 1 · 2026-04-11 18:50:35

115

Views

A proof that $L^{\infty}$ is complete

Published on 11 Apr 2026 - 18:50

score 310 · Answer 2 · 2026-04-12 02:39:50

310

Views

Does $L^\infty$ convergence imply convergence almost surely?

Published on 12 Apr 2026 - 2:39

score 97 · Answer 3 · 2026-04-14 23:47:15

97

Views

Using ordered pairs and sequences to give a required condition for any counter-example to Legendre's Conjecture

Published on 14 Apr 2026 - 23:47

score 456 · Answer 4 · 2026-04-14 16:44:00

456

Views

How to evaluate $\int_{|z|=2} \frac{1}{z^2+z+1} dz$

Published on 14 Apr 2026 - 16:44

score 31 · Answer 5 · 2026-04-17 04:18:01

31

Views

$\limsup$ and $\liminf$ computations for a sequence of subsets $(A_n)_{n=1}^{\infty}$ differing depending on $n$ odd or even

Published on 17 Apr 2026 - 4:18

score 276 · Answer 6 · 2026-04-15 21:53:56

276

Views

A ${\bf subbasis}$ $\mathcal{S}$ for a topology on $X$ is a collection of subsets of $X$ whose union equals $X$

Published on 15 Apr 2026 - 21:53

score 86 · Answer 7 · 2026-04-16 14:03:20

86

Views

Find angles $A$ and $B$ in equation $\frac{F_1}{\cos A }=\frac{F_2}{\cos B}=\frac{F_3}{\sin(A+B)}$

Published on 16 Apr 2026 - 14:03

score 428 · Answer 8 · 2026-04-15 10:51:14

428

Views

Show that basis $\mathscr{A}$ equals the intersection of all topologies on $X$ that contain $\mathscr{A}$

Published on 15 Apr 2026 - 10:51

score 379 · Answer 9 · 2026-04-13 18:56:01

379

Views

Spivak Calculus chapter 1 problem 13 proof critique

Published on 13 Apr 2026 - 18:56

score 84 · Answer 10 · 2026-04-15 18:05:19

84

Views

If $x \not= 0$ and $\lambda x = 0$, then $\lambda = 0$.

Published on 15 Apr 2026 - 18:05

score 188 · Answer 11 · 2026-04-12 09:07:18

188

Views

Questions about cohomology and cocycles in Munkres's book and my attempt to find cocycles in $n$-fold dunce cap

Published on 12 Apr 2026 - 9:07

score 49 · Answer 12 · 2026-04-17 09:21:13

49

Views

If $f$ has limit for $x\to \infty$ then we can suppose $x>0$ (and similar cases)

Published on 17 Apr 2026 - 9:21

score 366 · Answer 13 · 2026-04-11 02:09:49

366

Views

Complex function with values on the unit circle copied everywhere

Published on 11 Apr 2026 - 2:09

score 446 · Answer 14 · 2026-04-14 05:12:42

446

Views

Exact sequence of ideals: intersection, product, direct sum, sum

Published on 14 Apr 2026 - 5:12

score 637 · Answer 15 · 2026-04-14 18:15:23

637

Views

Prove that the collection is a basis that generates standard topology of the real line

Published on 14 Apr 2026 - 18:15

List Question

A proof that $L^{\infty}$ is complete

Does $L^\infty$ convergence imply convergence almost surely?

Using ordered pairs and sequences to give a required condition for any counter-example to Legendre's Conjecture

How to evaluate $\int_{|z|=2} \frac{1}{z^2+z+1} dz$

$\limsup$ and $\liminf$ computations for a sequence of subsets $(A_n)_{n=1}^{\infty}$ differing depending on $n$ odd or even

A ${\bf subbasis}$ $\mathcal{S}$ for a topology on $X$ is a collection of subsets of $X$ whose union equals $X$

Find angles $A$ and $B$ in equation $\frac{F_1}{\cos A }=\frac{F_2}{\cos B}=\frac{F_3}{\sin(A+B)}$

Show that basis $\mathscr{A}$ equals the intersection of all topologies on $X$ that contain $\mathscr{A}$

Spivak Calculus chapter 1 problem 13 proof critique

If $x \not= 0$ and $\lambda x = 0$, then $\lambda = 0$.

Questions about cohomology and cocycles in Munkres's book and my attempt to find cocycles in $n$-fold dunce cap

If $f$ has limit for $x\to \infty$ then we can suppose $x>0$ (and similar cases)

Complex function with values on the unit circle copied everywhere

Exact sequence of ideals: intersection, product, direct sum, sum

Prove that the collection is a basis that generates standard topology of the real line

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