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 Jun10 asked Find an orthogonal matrix $Q$ so that the matrix $QAQ^{-1}$ is diagonal. Jun1 comment How do I enter the equation $y=\sin\frac{2\pi }{3}x$ into Wolfram Alpha? You should use chat for questions like this. chat.stackexchange.com/rooms/36/mathematics May31 comment Are the solutions of $x^{x^{x^{x^{\cdot^{{\cdot}^{\cdot}}}}}}=2$ correct? Note that interpreting it as $$x^2=2$$ demonstrates a problem-solving technique for 'infinite things'. You can use it for other problems involving infinite things which converge. See the solution for problem 4 in this question as an example: math.stackexchange.com/questions/407047/… May31 comment What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) Let's take an example: 5*5=25. The reason you find it so easy is because you have used it so many times in your life. You don't actually have to 'actively remember' things. Another example is 4+5=9, one 'real way' of finding out that 4+5=9 is by drawing 4 circles and 5 circles, then counting how many total circles there are. We're just so used to addition and multiplication that they have become second nature. An analogy is that when we come across new math in our life, it requires effort to learn it, but after lots of using that math it becomes second nature. May31 comment Probability of k out of m microbes splitting. My mistake: I've corrected my comment. May31 accepted Probability of k out of m microbes splitting. May31 comment Probability of k out of m microbes splitting. Remark:'the probability of having $m+k$ microbes in the $n+1$th generation given you had $m$ in the $n$th' is equivalent to 'the probability of $k$ microbes splitting and $m-k$ microbes disintegrating in the transition from the $n$th to the $n+1$th generations', because $(m-k)+2k=m+k$ May31 revised Probability of k out of m microbes splitting. added 49 characters in body May31 comment Probability of k out of m microbes splitting. Are you referring to the probability that k out of m microbes will split ? May31 comment My son's Sum of Some is beautiful! But what is the proof or explanation? @hyg17 read this, it's worth your time! graphics8.nytimes.com/images/blogs/freakonomics/pdf/… May31 asked Probability of k out of m microbes splitting. May31 comment Find Probability that a player will win Nth match Here's a working link for Dilip Sarwate's broken link: courses.engr.illinois.edu/ece313/sp2009/Problems.html May30 accepted Confusion regarding probability of microbe producing everlasting colony. May30 asked Confusion regarding probability of microbe producing everlasting colony. May25 awarded Talkative May25 comment What is Putnam exam/competition? May24 accepted What does it take to get a perfect score on the Putnam? May24 revised Studying for the Putnam Exam fixed 'not all steps' May24 suggested approved edit on Studying for the Putnam Exam May23 asked What does it take to get a perfect score on the Putnam?