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Axion004
  • Member for 7 years
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1543 votes
86 answers
583k views

Visually stunning math concepts which are easy to explain

  • 821
445 votes
23 answers
85k views

Proofs that every mathematician should know. [closed]

  • 1,107
367 votes
24 answers
45k views

Zero to the zero power – is $0^0=1$?

  • 3,921
193 votes
3 answers
101k views

When can a sum and integral be interchanged?

  • 1,941
162 votes
6 answers
8k views

Why is the Penrose triangle "impossible"?

118 votes
15 answers
12k views

Infiniteness of non-twin primes.

  • 1,321
114 votes
10 answers
478k views

What does it mean to have a determinant equal to zero?

  • 1,265
114 votes
12 answers
221k views

What does the dot product of two vectors represent?

  • 6,573
104 votes
14 answers
14k views

Comparing $\pi^e$ and $e^\pi$ without calculating them

  • 1,297
104 votes
3 answers
58k views

Does convergence in $L^p$ imply convergence almost everywhere?

  • 1,115
101 votes
9 answers
11k views

Why should I "believe in" weak solutions to PDEs?

96 votes
4 answers
83k views

Pointwise vs. Uniform Convergence

  • 1,493
79 votes
6 answers
32k views

Not every metric is induced from a norm

  • 11.9k
78 votes
4 answers
40k views

Difference between complete and closed set

  • 1,845
68 votes
3 answers
132k views

Gradient of 2-norm squared

66 votes
16 answers
47k views

Proving $1^3+ 2^3 + \cdots + n^3 = \left(\frac{n(n+1)}{2}\right)^2$ using induction

  • 409
65 votes
6 answers
7k views

Is there a reason it is so rare we can solve differential equations?

64 votes
12 answers
40k views

How to prove every closed interval in R is compact?

  • 20k
63 votes
7 answers
9k views

Compute polynomial $p(x)$ if $x^5=1,\, x\neq 1$ [reducing mod $\textit{simpler}$ multiples]

  • 993
61 votes
2 answers
209k views

Is there really no way to integrate $e^{-x^2}$?

  • 1,541
60 votes
6 answers
7k views

"Gaps" or "holes" in rational number system

  • 623
59 votes
2 answers
2k views

An illusionist and their assistant are about to perform the following magic trick

  • 86.6k
55 votes
7 answers
17k views

What does it take to get a job at a top 50 math program in the U.S.? [closed]

  • 595
52 votes
2 answers
5k views

Why can't Antoine's necklace fall apart?

  • 3,173
50 votes
5 answers
48k views

Recommendations for Numerical Analysis texts?

  • 1,215
50 votes
4 answers
7k views

Given a Fibonacci number , find the next Fibonacci number

  • 761
47 votes
6 answers
2k views

Completing the square to solve limit problems

45 votes
3 answers
8k views

Why are certain PDE called "elliptic", "hyperbolic", or "parabolic"?

44 votes
5 answers
3k views

Prove $\int_0^{\infty}\! \frac{\mathbb{d}x}{1+x^n}=\frac{\pi}{n \sin\frac{\pi}{n}}$ using real analysis techniques only

  • 1,408
44 votes
11 answers
8k views

How can a "proper" function have a vertical slope?

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