New posts in Solution Verification

STEP 2013 P1 Statistics and Probability Question

Prove that $x \in {\rm Jac}(R)$ if and only if $1-xy \in R^{\times}$ for all $y$.

Define $1+x+x^2+\cdots+x^n$ recursively

Prove With Three Real Numbers Prove That We Can Pick Two And Their Product is Non Negative

The equation $|z-\omega|^2+|z-\omega^2|^2=\lambda$ will represent a circle if

Suppose $[a],[b],[c]\in\Bbb Z_n$, and are residue classes which satisfy $[a][b]=[1]$ and $[a][c]=[1]$. Prove $[b]=[c]$.

Clarification on pigeonhole principle for case of choosing $k$ elements from a set such that $2$ elements from the subset sum to a particular number

Find the $26^{th}$ digit of a $50$ digit number divisible by $13$.

Proof strategy for 4-Colour-Theorem

prove that $xy+yz+zx\ge x\sqrt{yz}+y\sqrt{xz}+z\sqrt{xy}$