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 May 5 revised (Galois Theory) Let $E/K$ be a Galois extension with Galois group isomorphic to $Z_{12}$. Determine the subfield lattice for $E/K$ updated lattice (made an error the first time) Apr 8 revised A Young Math Enthusiast's Fear retracted personal information, and minor edits Mar 16 revised Assume that $1a_1+2a_2+\cdots+na_n=1$, where the $a_j$ are real numbers. Formatting Feb 26 revised Prove that $e ^ π$ > $π ^ e$. Formatting Oct 29 revised Epsilon-Delta Continuity proof TeX formatting Oct 29 revised Basic Question on Gradients deleted 176 characters in body Sep 16 revised Duality principle in boolean algebra corrected formatting, grammar and spelling Jan 22 revised Integral Calculus 2 TeX formatting Dec 18 revised Change of Basis of a Linear Transformation TeX formatting Dec 16 revised What sample size is needed to make sure that with 99% probability, the mean of the sample will be in error by at most 0.25 Edited title and made few improvements in the body (mostly Tex formatting) Dec 13 revised Normal Distribution and Conditional Probability edited body Dec 12 revised How to figure out the Argument of complex number? Corrected a major error in the answer Dec 11 revised How to figure out the Argument of complex number? added 386 characters in body Dec 11 revised Evaluate $\int\frac{1}{r \ln(r)} \ dr$ Tex formatting and phrasing edits Oct 27 revised Proving that $2^{2^n} + 5$ is always composite by working modulo $3$ Tex formatting Sep 2 revised How to find eigenvectors/eigenvalues of a matrix where each diagonal entry is scalar $d$ and all other entries are $1$ Tex formatting, edited phrasing of the question and edited title Aug 24 revised Solving an augumented matrix (A|B) with same matrix coeff Tex formatting and edits in Phrasing Aug 24 revised Prove that if $n$ is a positive integer then $2^{3n}-1$ is divisible by $7$. added 3 characters in body Aug 23 revised Prove that if $n$ is a positive integer then $2^{3n}-1$ is divisible by $7$. added 593 characters in body Aug 22 revised Is $\sum \sin{\frac{\pi}{n}}$ convergent? Tex formating