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 Feb22 awarded Teacher Nov26 comment Is the number 100k+11 ever a square? Correction -- " ... and 89 are squares" should read " ... and 89 can be squares". Oct30 comment How can I express the sum of $\sin a+\sin2a+\sin3a+\cdots+\sin(n-1)a$? @Alex -- The answer posted here is very similar to what Boris Novikov has posted. Look up Telescopic sum Oct19 comment Calculate $\sum\limits_{n=1}^\infty (n-1)/10^n$ using pen and paper You have an Arithmetico Geometric Series. Oct19 awarded Commentator Oct19 comment In high school statistics, why does it seem like equations come out of the sky " They will slaughter us in a nuclear war next week if we don't make our students [memorize a formula] " -- Awesome! :) Oct10 comment Solve $4^{9x-4} = 3^{9x-4}$ Try this: Solve for $x$ and $y$ when $p ^ {2x + y} = q ^ {x + y + 1}$ where $p$ and $q$ are two integers that are relatively prime to each other. Oct8 comment Fastest way to check if $x^y > y^x$? Which means one has more permutations to test (I agree that it would still be far more efficient than calculating $x ^ y$ or $y ^ x$. Oct8 comment Fastest way to check if $x^y > y^x$? @Henry -- Did you mean "... 1 and $e$"? When $log$'s operand is less than one, it becomes negative and one has to be careful with inequalities with one side being negative and other being positive. Oct5 comment Why does my calculator show $2^{-329} = 0?$ Michael Hardy -- My +1 goes to @AlvinWong whose comment explains why the typical calculator shows zero. Jul30 answered What is the meaning of infinitesimal? Jun7 comment Solving the equation $11x^2-6000x-27500 =0$, preferably without the quadratic formula The last line should read $(y - 3000)^2 = 3050^2$ May26 comment How do you respond to “I was always bad at math”? @AsafKaragila -- I do not see my response for "You are getting a PhD in math?" in the pie chart -- which would be "I am so sorry!" (with a cheeky grin) Apr11 comment How can I prove that $xy\leq x^2+y^2$? If $xy < 0$ then $2xy < xy$ Jun7 awarded Scholar Jun7 accepted Teaching permutations, How to? Jun6 comment Teaching permutations, How to? Sincere thanks for the illustrated answer. Jun6 comment Teaching permutations, How to? @AndréNicolas -- While my niece would be mighty thrilled with your response as well as explains my difficulty in explaining this to her, methinks trying to make a distinction between how many ways can you arrange and how many arrangements can be made is splitting hairs in linguistic minutiae. Jun5 awarded Supporter Jun5 awarded Student