Mariano Suárez-Alvarez

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1,063 Answers

newest activity votes
161
How can adding an infinite number of rationals yield an irrational number?
72
What's a proof that the angles of a triangle add up to 180°?
56
Why do mathematicians use single-letter variables?
51
Why is 'abuse of notation' tolerated?
46
Proving the identity $\sum\limits_{k=1}^n {k^3} = \left(\sum\limits_{k=1}^n k\right)^2$ without induction
31
If $A$ is singular, is $A^3+A^2+A$ singular?
25
Functions that are their Own nth Derivatives for Real n
23
Why is $\omega$ the smallest $\infty$?
23
Importance of Representation Theory
22
Why does drawing $\square$ mean the end of a proof?
21
Solutions to the matrix equation $\mathbf{AB-BA=I}$ over general fields
20
Why is associativity required for groups?
20
Getting the sequence $1, 0, -1, 0, 1, 0, -1, 0, \ldots$ without trig?
20
Cohomology of projective plane
19
Compute $\int \frac{\sin(x)}{\sin(x)+\cos(x)}\mathrm dx$
19
Chain Rule Intuition
18
Why is the Jordan Curve Theorem not “obvious”?
17
Index of a maximal subgroup in a finite group
16
“Why do I always get 1 when I keep hitting the square root button on my calculator?”
15
Does uncountable summation, with a finite sum, ever occur in mathematics?
15
Fundamental group of GL(n,C) is isomorphic to Z. How to learn to prove facts like this?
14
On a 500 page proof
14
How should someone release their proof to the world?
14
Is the usual addition of integers unique?
14
$K\subseteq \mathbb{R}^n$ is a compact space iff every continuous function in $K$ is bounded.
14
Defining a manifold without reference to the reals
14
Alternative definition of the determinant of a square matrix and its advantages?
14
Isomorphic quotient groups
14
What does $\ll$ mean?
14
Elegant proof that $L^2([a,b])$ is separable
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