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Favorite Question

Question saved by 25 users. This badge can be awarded multiple times.

Awarded 3292 times.

Proof that all abelian simple groups are cyclic groups of prime order

Awarded Nov 24 at 11:22

thobanster

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Applications of the Isomorphism theorems

Awarded Nov 22 at 20:51

Katie Dobbs

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Is there an explicit isomorphism between $L^\infty[0,1]$ and $\ell^\infty$?

Awarded Nov 14 at 15:33

t.b.

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Does $\lfloor \sqrt{p} \rfloor$ generate all natural numbers?

Awarded Nov 12 at 17:00

CODE

5,1974 gold badges27 silver badges51 bronze badges

Weak convergence in probability implies uniform convergence in distribution functions

Awarded Nov 10 at 23:33

Keith

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Derivative of a function with respect to another function. [duplicate]

Awarded Nov 9 at 21:32

Marco

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Compactness in the weak* topology

Awarded Nov 9 at 20:47

Jesse Madnick

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When is the product of two quotient maps a quotient map?

Awarded Nov 7 at 1:28

DBr

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Show that a proper continuous map from $X$ to locally compact $Y$ is closed

Awarded Nov 3 at 0:54

JZS

5,1763 gold badges25 silver badges48 bronze badges

What is the difference between an indefinite integral and an antiderivative?

Awarded Nov 2 at 15:22

user85798

Extended stars-and-bars problem (where the upper limit of the variable is bounded)

Awarded Nov 1 at 22:11

Niaz Mohammad Khan

4611 gold badge5 silver badges4 bronze badges

Prove that Every Vector Space Has a Basis

Awarded Nov 1 at 17:50

Andy Tam

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IMO 1988, problem 6

Awarded Oct 26 at 12:28

Mikael Jensen

1,8972 gold badges18 silver badges26 bronze badges

What are some conjectures of your own?

Awarded Oct 22 at 19:53

Graviton

4,68819 silver badges36 bronze badges

Conjecture ${\large\int}_0^\infty\left[\frac1{x^4}-\frac1{2x^3}+\frac1{12\,x^2}-\frac1{\left(e^x-1\right)x^3}\right]dx=\frac{\zeta(3)}{8\pi^2}$

Awarded Oct 21 at 18:32

Vladimir Reshetnikov

32.8k11 gold badges180 silver badges324 bronze badges

Derivative of matrix exponential w.r.t. to each element of the matrix

Awarded Oct 16 at 18:41

darwin rajpal

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The limit of a convergent Gaussian random variable sequence is still a Gaussian random variable

Awarded Oct 14 at 15:56

pluskid

1,1692 gold badges12 silver badges16 bronze badges

How do you formally prove that rotation is a linear transformation?

Awarded Oct 7 at 4:43

guest

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How can we show that $\mathbb Q$ is not a free $\mathbb Z$-module?

Awarded Oct 4 at 21:42

Emily

1,3812 gold badges13 silver badges17 bronze badges

Show that the $\max{ \{ x,y \} }= \frac{x+y+|x-y|}{2}$.

Awarded Oct 2 at 8:10

user72195

1,6073 gold badges22 silver badges31 bronze badges

How To Present Algebraic Topology To Non-Mathematicians?

Awarded Oct 1 at 17:02

Rahman

1,20910 silver badges20 bronze badges

Advice for writing good mathematics?

Awarded Sep 28 at 14:03

Tyler

2,9073 gold badges26 silver badges42 bronze badges

Triangulation of Torus

Awarded Sep 28 at 13:07

ChesterX

2,4141 gold badge19 silver badges27 bronze badges

Example of filtration in probability theory

Awarded Sep 20 at 23:02

J. Goles

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Proofs of the Cauchy-Schwarz Inequality?

Awarded Sep 15 at 20:08

Vafa Khalighi

2,0496 gold badges24 silver badges25 bronze badges

Online MathJaX editor

Awarded Sep 13 at 19:49

Dahn

5,9542 gold badges37 silver badges55 bronze badges

When functions commute under composition

Awarded Sep 11 at 14:53

AnonymousCoward

5,7822 gold badges38 silver badges43 bronze badges

Why is the multiplicative group of a finite field cyclic? [duplicate]

Awarded Sep 4 at 6:20

MickG

9,1355 gold badges53 silver badges106 bronze badges

Can a continuous function from the reals to the reals assume each value an even number of times?

Awarded Sep 1 at 4:22

Richard Hevener

1,6331 gold badge12 silver badges26 bronze badges

Solvability criterion for Chinese Remainder theorem with non-pairwise coprime moduli [duplicate]

Awarded Aug 31 at 4:51

Richard

4,6122 gold badges40 silver badges59 bronze badges

What's an intuitive way of looking at quotient spaces?

Awarded Aug 30 at 20:32

Ted

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What does the word "let" mean in mathematics?

Awarded Aug 29 at 2:12

Qiaochu Yuan

477k55 gold badges1.1k silver badges1.5k bronze badges

What axioms does ZF have, exactly?

Awarded Aug 24 at 2:37

user132181

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How can I prove that all rational numbers are either terminating decimal or repeating decimal numerals?

Awarded Aug 21 at 4:55

Jeff

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Reference for Gauss-Manin connection

Awarded Aug 10 at 23:25

Tmster

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Abelian categories and axiom (AB5)

Awarded Aug 8 at 17:47

DBr

5,0603 gold badges37 silver badges42 bronze badges

When is the pushforward of a quasi-coherent sheaf quasi-coherent? Hartshorne proof

Awarded Aug 1 at 5:56

Stefano

4,55426 silver badges47 bronze badges

A question about the arctangent addition formula.

Awarded Jul 25 at 23:06

Johnny Westerling

1,8414 gold badges22 silver badges28 bronze badges

How to show that $C=C[0,1]$ is a Banach space

Awarded Jul 21 at 20:16

Nana

8,7778 gold badges43 silver badges48 bronze badges

Integral of matrix exponential

Awarded Jul 17 at 11:39

samsa44

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Why does cross product give a vector which is perpendicular to a plane

Awarded Jul 15 at 14:26

jjepsuomi

9,02913 gold badges68 silver badges104 bronze badges

Why is an empty function considered a function?

Awarded Jul 15 at 8:06

user11750

1,0492 gold badges10 silver badges12 bronze badges

An open ball is an open set

Awarded Jul 13 at 1:26

Emir

2,3436 gold badges34 silver badges48 bronze badges

Fermat's Last Theorem and Kummer's Objection

Awarded Jul 11 at 10:51

Eric Naslund

73.8k12 gold badges182 silver badges272 bronze badges

Use irreducible fibers to show $X$ is irreducible

Awarded Jul 9 at 13:03

Gazerun

6875 silver badges11 bronze badges

Theorems that disappointed mathematicians

Awarded Jul 3 at 17:31

QED

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Properties of $\liminf$ and $\limsup$ of sum of sequences: $\limsup s_n + \liminf t_n \leq \limsup (s_n + t_n) \leq \limsup s_n + \limsup t_n$

Awarded Jul 3 at 5:42

emka

6,70415 gold badges67 silver badges110 bronze badges

on the adjointness of the global section functor and the Spec functor

Awarded Jun 29 at 11:56

user14242

3,0301 gold badge30 silver badges34 bronze badges

When is the image of a proper map closed?

Awarded Jun 28 at 15:06

s.harp

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Convergence in law and uniformly integrability

Awarded Jun 22 at 15:55

Stefan Hansen

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What specific algebraic properties are broken at each Cayley-Dickson stage beyond octonions?

Awarded Jun 18 at 23:16

Pat Muchmore

7357 silver badges13 bronze badges

Why do we use big Oh in taylor series?

Awarded Jun 18 at 8:21

Maksim

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Proof $\int_{-\infty}^\infty\frac{dx}{\left(e^x+e^{-x}+e^{ix\sqrt{3}}\right)^2}=\frac{1}{3}$

Awarded Jun 14 at 11:32

D.B. Cooper

4,0202 gold badges28 silver badges62 bronze badges

Integrability of Thomae's Function on $[0,1]$.

Awarded Jun 12 at 4:35

Anthony Peter

7,0052 gold badges44 silver badges93 bronze badges

Applications of Differential Geometry in Artificial Intelligence

Awarded Jun 6 at 12:53

user3046045

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Advanced Differential Geometry Textbook

Awarded May 27 at 14:10

DiffGeomInterest

3294 silver badges3 bronze badges

Combinatorial interpretation of sum of squares, cubes

Awarded May 27 at 13:16

2'5 9'2

57.7k8 gold badges90 silver badges165 bronze badges

Is there a rational number between any two irrationals?

Awarded May 21 at 22:46

MJD

68.1k44 gold badges311 silver badges627 bronze badges

Every finite abelian group is the Galois group of some finite extension of the rationals

Awarded May 15 at 17:50

daisy

2313 silver badges3 bronze badges

Prove that the function $\sqrt x$ is uniformly continuous on $\{x\in \mathbb{R} | x \ge 0\}$.

Awarded May 13 at 17:52

user104235

1,8437 gold badges22 silver badges35 bronze badges

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