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# 187 Posts

 Aug4 asked From what set of numbers can $a$ and $b$ be from in the complex number $a+bi\in\mathbb{C}$ Mar9 asked How can I find the coefficient of a term in this generating function by using the “old” method? Mar3 asked How do I design a generating function to count subsets of distinct objects? Feb2 asked How to tell if I am double counting in a combinatorics problem? Dec17 asked How does the triangle inequality work for $|x-y|$? Nov6 asked How to conclusively determine the interior of a set Nov4 asked Convert a WFF to Clausal Form Nov3 asked Finding the matrix of a linear transformation relative to two non-standard bases Nov3 asked How to find the coordinate vector of $\left[\begin{array}{r}x\\y\end{array}\right]$ with respect to some non-standard basis $\mathcal{B}$ Oct28 asked If $\mathbb{Z}_m^*$ is cyclic, and $\mathbb{Z}_m^*=\langle\overline{g}\rangle$, is $\overline{g}$ a primitive root? Oct28 asked What are the generators of $\mathbb{Z}_9^*$? Oct27 asked Find the natural numbers $n$ for which $\varphi(n)$ is not divisible by $4$. Oct25 answered Solve for n: $\varphi(2n)=\varphi(3n)$ Oct24 asked Solve for n: $\varphi(2n)=\varphi(3n)$ Oct23 asked What is an “incongruent” solution? Oct22 answered Let $ABC$ be a well-defined product of matrices. Suppose that $A,C$ are both invertible. Prove that $rank(ABC)=rank(B)$. Oct22 asked Let $ABC$ be a well-defined product of matrices. Suppose that $A,C$ are both invertible. Prove that $rank(ABC)=rank(B)$. Oct16 asked Need help with starting proof Oct15 asked Calculate $\lim_{n\to\infty}\frac{1+a+a^2+\dots+a^n}{1+b+b^2+\dots+b^n}$ Oct14 asked How to solve $9^{89}\equiv x\mod{1000}$ for $0\leq x\leq 999$ without calculating $9^{89}$