# genepeer

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bio website euler.genepeer.com location age 22 member for 2 years seen Dec 8 at 5:46 profile views 75

 9 What is the point of countable vs. uncountable sets? 4 Making up for wasted high school years - where should I begin? 3 Continued fraction for $\sqrt{14}$ 3 Composition of Continous function is continuous 2 Prove $\prod_{i=1}^{n-1} \sin(i\pi/n) = 2^{1-n} n$ without complex functions.

# 695 Reputation

 +20 Prove $\prod_{i=1}^{n-1} \sin(i\pi/n) = 2^{1-n} n$ without complex functions. +10 Prove $\prod_{i=1}^{n-1} \sin(i\pi/n) = 2^{1-n} n$ without complex functions. +5 Show $(1+\frac{1}{3}-\frac{1}{5}-\frac{1}{7}+\frac{1}{9}+\frac{1}{11}-\cdots)^2 = 1+\frac{1}{9}+\frac{1}{25}+\frac{1}{49} + \cdots$ +5 Basis for $\mathbb{[Q(\pi):Q]}$

# 14 Questions

 27 Show $(1+\frac{1}{3}-\frac{1}{5}-\frac{1}{7}+\frac{1}{9}+\frac{1}{11}-\cdots)^2 = 1+\frac{1}{9}+\frac{1}{25}+\frac{1}{49} + \cdots$ 10 Diophantine: $x^3+y^3=z^3 \pm 1$ 7 Uniform Convergence of $\sum_{n=1}^\infty -x^{2n} \ln x$ 7 Basis for $\mathbb{[Q(\pi):Q]}$ 6 Finding the units in $\mathbb{Z}[\sqrt[3]{2}]$ and other questions

# 51 Tags

 9 analysis × 2 3 limits × 2 5 linear-algebra × 4 3 continued-fractions 5 calculus × 3 3 functions 4 abstract-algebra × 4 2 field-theory × 2 3 convergence × 2 2 rational-functions × 2

# 1 Account

 Mathematics 695 rep 316