TheJoker

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39 Answers

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7	$I_m - AB$ is invertible if and only if $I_n - BA$ is invertible.
5	Can we characterize the Möbius transformations that maps the unit circle into itself?
4	Good examples for mathemathical problems/statements that are easely solvable/provable in one theory and hard to solve/prove in another
4	Let $m \in \mathbb Z, m>1$, then $\cos(2 \pi/m) \in \mathbb Q$ if and only if $m \in \{1,2,3,4,6\}$.
3	Finding coefficients of quadratic given one tangent and point on the curve

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+10	Can we characterize the Möbius transformations that maps the unit circle into itself?
+10	In terms of complexity, is there a quicker way of checking if a matrix is nonsingular than computing the determinant?
+10	$I_m - AB$ is invertible if and only if $I_n - BA$ is invertible.
+10	What is degree of freedom in statistics?

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1 Question

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2	inequality of definite integrals involving ${F'(x)}^2 $ and ${F(x)}^2$

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10 linear-algebra × 4	7 probability × 5
10 abstract-algebra × 2	5 soft-question × 3
9 statistics × 6	4 calculus × 4
8 complex-analysis × 3	4 trigonometry
8 matrices × 2	4 functions

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