Un Chien Andalou
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### Questions (695)

 51 Examples of bijective map from $\mathbb{R}^3\rightarrow \mathbb{R}$ 34 To show that the set point distant by 1 of a compact set has Lebesgue measure $0$ 17 How to show path-connectedness of $GL(n,\mathbb{C})$ 16 There exist an infinite subset $S\subseteq\mathbb{R}^3$ such that any three vectors in $S$ are linearly independent. 15 I need to calculate $x^{50}$ [duplicate]

### Reputation (14,423)

 +5 geometric multiplicity= algebraic multiplicity for a symmetric matrix +5 Examples of bijective map from $\mathbb{R}^3\rightarrow \mathbb{R}$ +38 Prove $a \equiv b \pmod{c} \implies a^n \equiv b^n \pmod{c}$. +5 a question on linear relations

 32 Compute $\int \frac{\sin(x)}{\sin(x)+\cos(x)}\mathrm dx$ 13 $AB-BA=I$ having no solutions 10 If $2^x=3^y=6^{-z}$ then prove that:$\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=0$ 7 $I-AB$ be invertible $\Leftrightarrow$ $I-BA$ is invertible 7 Is $e^x$ the only isomorphism between the groups $(\mathbb{R},+)$ and $(\mathbb{R}_{> 0},*)$?

### Tags (158)

 94 real-analysis × 202 36 group-theory × 52 80 calculus × 42 36 integration × 10 68 general-topology × 126 36 trigonometry × 5 57 complex-analysis × 154 33 matrices × 56 49 linear-algebra × 163 32 indefinite-integrals × 2

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