# Thomas

 7h reviewed Leave Open Formal proof: $f: A \rightarrow B$ is injective if $f$ is surjective and $|A| = |B| <\infty$ 7h reviewed Close Prove that $R\left[x\right]/I\left[x\right]\cong\left(R/I\right)\left[x\right]$ 7h reviewed Close Units in finite polynomial rings 7h reviewed Close Is the sequence $(1 + (-1)^n)$ Cauchy? 7h reviewed Leave Open Where do the definitions in statistics come from? 7h reviewed Leave Open show the following conditions are equivalent for a category $C$ 7h reviewed Leave Open Power Relation $\ge$ on the Set of Natural numbers 7h reviewed Close The dihedral group $D_n$ of order $2n$, $n\geq 3$, has a subgroup of $n$ rotations and a subgroup of order $2$. 7h reviewed Close What is the order of the element $14+\langle8\rangle$ in the factor group $\mathbb Z_{24}/\langle8\rangle$. 7h reviewed Close find the derivative $\displaystyle \frac{d}{dx}\int^a_x \tan(\tan(t))\,dt =$ 2d reviewed Leave Open Cohen Macaulay rings by Bruns and Herzog after Matsumura Dec 3 reviewed Approve suggested edit on Evaluate the indefinite integral using "U" Substitution Dec 3 reviewed Approve suggested edit on Big $O$ real world applications Dec 3 reviewed Close How to I prove the equivalence of $f(S_1 \cup S_2)$ and $f(S_1) \cup f(S_2)$ (Discrete Mathematics) Dec 3 reviewed Close What am I doing wrong in this attempt to solve this integral? Dec 3 reviewed Approve suggested edit on Showing $\mathbb{E}(\max_{k \leq n}|X_k|)/\sqrt{n} \to 0$ as $n \to \infty$. Dec 2 revised Requests for Reopen Votesadded 18 characters in body Dec 1 reviewed Approve suggested edit on Volume of solids of revoution Dec 1 reviewed Leave Open There exist $\{a_{n}\},\{b_{n}\}$ such $\lim_{n\to\infty}\frac{a_{n}}{b_{n}}=c？$ Dec 1 reviewed Leave Open Proof by Induction for a $f_3 + f_6 + · · · + f_{3n} = \frac{1}{2} (f_{3n+2} - 1)$