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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.