# Dalek

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African American Dalek

 22 What is sum of all positive odd integers less than $1000$? 16 Proving a relation between $\sum\frac{1}{(2n-1)^2}$ and $\sum \frac{1}{n^2}$ 11 Show that $n \ge \sqrt{n+1}+\sqrt{n}$ 7 First Course in Linear Algebra book suggestions? 6 How to prove this inequality $\frac{x^y}{y^x}+\frac{y^z}{z^y}+\frac{z^x}{x^z}\ge 3$

# 1,438 Reputation

 -2 Let f be bounded and let $\lim_{x \to c} {g(x)=L}$. Prove or give counterexample: +2 Optimization of difference of two convex function. +50 Determine splitting field $K$ over $\mathbb{Q}$ of the polynomial $x^3 - 2$ +10 Analysis - Uniform Continuity

# 2 Questions

 6 If $q$ is prime, then $w=(1+q+q^2)/3$ is a composite integer iff $w$ has a prime divisor less than $\sqrt{w}$ and congruent to $1$ modulo $6$ 4 Determining a confidence interval for $\sigma$ from a Rayleigh distribution

# 34 Tags

 45 algebra-precalculus × 4 12 induction × 2 35 homework × 5 10 linear-algebra × 2 22 summation 8 integration × 2 17 inequality × 2 7 real-analysis × 5 16 sequences-and-series 7 reference-request × 2

# 2 Accounts

 Mathematics 1,438 rep 320 Stack Overflow 99 rep 2