# Tojamaru

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# 609 Questions

 27 To show that the set point distant by 1 of a compact set has Lebesgue measure $0$ 16 There exist an infinite subset $S\subseteq\mathbb{R}^3$ such that any three vectors in $S$ are linearly independent. 13 Subset of $\mathbb{Q}$ 12 Relation between area of a triangle on a sphere and plane 11 I need to calculate $x^{50}$ [duplicate]

# 10,950 Reputation

 +65 Let $f$ be an analytic function such that if $|z|=\frac{1}{2}$ then $f(z)\in \mathbb{R}$. Prove that $f$ is constant. +5 Is a bounded and continuous function uniformly continuous? +5 how many types of calendars should he prepare +5 How to show path-connectedness of $GL(n,\mathbb{C})$

 25 Compute $\int \frac{\sin(x)}{\sin(x)+\cos(x)}\mathrm dx$ 9 If $2^x=3^y=6^{-z}$ then prove that:$\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=0$ 7 $AB-BA=I$ having no solutions 7 Is $e^x$ the only isomorphism between the groups $(\mathbb{R},+)$ and $(\mathbb{R}_{> 0},*)$? 6 Basic group theory exercise

# 138 Tags

 82 real-analysis × 187 29 integration × 10 66 calculus × 36 26 linear-algebra × 110 63 homework × 37 25 group-theory × 44 51 complex-analysis × 151 25 indefinite-integral × 2 48 general-topology × 118 23 continuity × 30

# 7 Accounts

 Mathematics 10,950 rep 1839 Movies & TV 148 rep 5 English Language & Usage 113 rep 4 Physics 106 rep 1 Philosophy 101 rep 1