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ncmathsadist
  • Member for 12 years, 2 months
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106 votes

Examples of patterns that eventually fail

87 votes
Accepted

Why is $L^{\infty}$ not separable?

83 votes

Surprising identities / equations

63 votes

Is there a mathematical symbol for "For every element"?

54 votes

Your favourite application of the Baire Category Theorem

54 votes

Prove: $\int_0^\infty \sin (x^2) \, dx$ converges.

53 votes
Accepted

What is the purpose of the first test in an inductive proof?

44 votes
Accepted

Prime factorization of 1

41 votes
Accepted

Why $0!$ is equal to $1$?

41 votes

Interesting "real life" applications of serious theorems

34 votes
Accepted

Changing a number between arbitrary bases

30 votes
Accepted

When do we get extraneous roots?

27 votes

Piecewise functions: Got an example of a real world piecewise function?

23 votes

Why is the complex number $z=a+bi$ equivalent to the matrix form $\left(\begin{smallmatrix}a &-b\\b&a\end{smallmatrix}\right)$

23 votes

Homomorphisms between fields are injective.

23 votes
Accepted

Summation Theorem how to get formula for exponent greater than 3

20 votes
Accepted

Does Bounded Covergence Theorem hold for Riemann integral?

19 votes

The square of an integer is congruent to 0 or 1 mod 4

19 votes

$\sqrt{x}$ isn't Lipschitz function

18 votes

Continuous bijection from $(0,1)$ to $[0,1]$

18 votes

Is a line parallel with itself?

18 votes
Accepted

Pseudo-Cauchy sequence

18 votes
Accepted

Inequality with (1-x) as denominator

17 votes

How to find a random axis or unit vector in 3D?

17 votes
Accepted

Is $a^{\ln b} = b^{\ln a}$?

16 votes
Accepted

Negative 1 to the power of Infinity

16 votes

Your favourite application of the Baire Category Theorem

16 votes

Distinct permutations of the word "toffee"

15 votes

Show that $\mathbb{R}/\mathbb{Z}$ is isomorphic to $\{e^{i\theta} : 0 \le \theta \le 2\pi \}$

15 votes

Proof that the Cantor set has measure zero.

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