Javier
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 Dec 13 comment Can integration get the real value of $\pi$? @user3015600: You could, in principle, get $\pi$ with infinite precision. If you want any digit of the decimal expansion of $\pi$, there's a zillion formulas that you can use to get it. The problem is that we can never know all of them, not because math doesn't work, but simply because there's infinitely many of them and we don't have infinite time. Dec 13 answered Can integration get the real value of $\pi$? Dec 10 comment Explain complex numbers Also, I think this is a duplicate: math.stackexchange.com/questions/251665/… Dec 10 comment Explain complex numbers @tandberg: You can't always explain something at a level the other person can understand. If your cousin is familiar with the plane and a bit of analytic geometry, you can make the connection there. Otherwise, I'm not sure. Dec 6 awarded Custodian Dec 6 reviewed Leave Open Are all good mathematicians fluent in computational aspects of mathematics Dec 6 reviewed Edit Using Laplace transform to solve an IVP Dec 6 revised Using Laplace transform to solve an IVP improved formatting Nov 29 answered The arithmetic mean of $X$ when arithmetic mean of $X^2 = 29$. Nov 25 comment $2\times2$ matrices are not big enough @MarcvanLeeuwen: The reason I made my comment is that yours seemed to imply that this isn't a very good example because it's not evident how to define a rotation matrix for $n > 2$ dimensions. I just wanted to make clear that $3$-dimensional rotation matrices are easy to define and don't commute, that's all. Nov 24 comment $2\times2$ matrices are not big enough @MarcvanLeeuwen: Rotation matrices don't commute in three dimensions. Nov 24 reviewed Edit How to prove the equation $\cos x=2x$ has only one solution? Nov 24 revised How to prove the equation $\cos x=2x$ has only one solution? improve formating Nov 16 answered Vector by integral, notation convention or mistake? Nov 16 accepted Solving $y'' + (ax+b)y = 0$ Nov 15 comment Solving $y'' + (ax+b)y = 0$ Side note; how do I make the expression for $\phi(k)$ look nice? The symbols look extremely small to me. Nov 15 asked Solving $y'' + (ax+b)y = 0$ Oct 29 awarded Famous Question Oct 29 comment can not find the proof that logarithms are the inverse of exponentials What's your definition of both? People usually define one of those to be the inverse of the other. Oct 28 comment What situations/models require calculating the area under a curve? Are you asking specifically about finding the area below a curve, or about integrating in general? Because there is an endless list of uses for the latter.