# Steven-Owen

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bio website none location everywhere age 15 member for 2 years, 9 months seen Jun 5 '13 at 0:57 profile views 232

Math! :)

# 52 Questions

 154 In the history of mathematics, has there ever been a mistake? 68 What are some examples of a mathematical result being counterintuitive? 10 Cauchy's Integral Formula and Green's Theorem 8 Elementary proof that if $A$ is a matrix map from $\mathbb{Z}^m$ to $\mathbb Z^n$, then the map is surjective iff the gcd of maximal minors is $1$ 8 Do complex eigenvalues of a real matrix imply a rotation-dilation?

# 1,700 Reputation

 +80 In the history of mathematics, has there ever been a mistake? +5 Higher Dimensional analogue to translation and rotation. +5 Show that $\mathbb{Q}^+/\mathbb{Z}^+$ cannot be decomposed into the direct sum of cyclic groups. +5 Proving without reciprocity laws that if $p>0$ a prime such $p=1(5)$ then 5 is a quadratic residue mod $p$.

 3 Show the polynomial $(x-\alpha)(x-\alpha^p)\cdots(x-\alpha^{p^{n-1}})$ is in $F_p[x]$ if $\alpha\in F_{p^n}$ 3 Write down a $\mathbb Q$-Basis for $\mathbb Q(\alpha, i)$ and show that $\mathbb Q(\alpha, i) = \mathbb Q(\alpha + i)$. 3 How to prove $\int_0^a f(x)\,dx=\int_0^a f(a-x)\,dx$ 2 Using characters in finite fields to find number of solutions to polynomials. 1 A simple question about representation of a group

# 53 Tags

 5 finite-fields × 7 1 representation-theory × 8 4 abstract-algebra × 16 1 group-theory × 7 3 field-theory × 3 1 notation × 2 3 integration 1 real-analysis 3 calculus 1 limits

# 6 Accounts

 Mathematics 1,700 rep 21132 MathOverflow 116 rep 2 Meta Stack Exchange 101 rep 1 TeX - LaTeX 101 rep 1 Physics 101 rep 1