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1,663 Answers

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89
Examples of patterns that eventually fail
Feb 21 '12 at 0:28
73
Surprising identities / equations
Sep 30 '13 at 1:01
65
Why is $L^{\infty}$ not separable?
Jan 9 '12 at 16:21
56
Is there a mathematical symbol for “For every element”?
Jun 19 '12 at 14:16
52
Prove: $\int_0^\infty \sin (x^2) \, dx$ converges.
Feb 3 '12 at 1:00
51
What is the purpose of the first test in an inductive proof?
Dec 1 '13 at 1:21
43
Your favourite application of the Baire Category Theorem
Jul 2 '12 at 13:55
41
Prime factorization of 1
Jun 23 '11 at 14:36
40
Interesting “real life” applications of serious theorems
May 15 '14 at 18:54
38
Why $0!$ is equal to $1$?
Nov 1 '12 at 1:22
30
Changing a number between arbitrary bases
Feb 20 '12 at 2:09
26
When do we get extraneous roots?
Aug 3 '11 at 22:55
25
Piecewise functions: Got an example of a real world piecewise function?
Jun 5 '12 at 12:52
23
Summation Theorem how to get formula for exponent greater than 3
Jul 8 '15 at 0:39
18
Inequality with (1-x) as denominator
Apr 22 '15 at 12:44
18
Pseudo-Cauchy sequence
Apr 16 '15 at 16:03
17
Is $a^{\ln b} = b^{\ln a}$?
Dec 18 '15 at 2:15
17
Why is the complex number $z=a+bi$ equivalent to the matrix form $\left(\begin{smallmatrix}a &-b\\b&a\end{smallmatrix}\right)$
Aug 9 '12 at 22:24
17
Is a line parallel with itself?
Jun 15 '11 at 14:49
17
Continuous bijection from $(0,1)$ to $[0,1]$
May 31 '11 at 12:01
16
Does Bounded Covergence Theorem hold for Riemann integral?
May 25 '12 at 12:32
16
Negative 1 to the power of Infinity
Jul 2 '11 at 21:07
15
The square of an integer is congruent to 0 or 1 mod 4
Jan 17 '12 at 1:54
15
How to find a random axis or unit vector in 3D?
Jun 19 '11 at 2:51
14
Is it unlikely to get the same number of heads/tails?
Jul 5 '12 at 22:08
14
$\sqrt{x}$ isn't Lipschitz function
Feb 7 '14 at 13:39
14
Show that $\mathbb{R}/\mathbb{Z}$ is isomorphic to $\{e^{i\theta} : 0 \le \theta \le 2\pi \}$
Jan 10 '13 at 0:08
14
Distinct permutations of the word “toffee”
Jul 26 '12 at 22:24
14
Your favourite application of the Baire Category Theorem
Jul 2 '12 at 14:12
13
Is $f(x) = (x + 1)/(x +2)$ a function?
Oct 15 '15 at 0:13
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