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Apr
4
reviewed No Action Needed Creating random numbers matching mean and standard deviation
Apr
4
reviewed No Action Needed Show that no non-trivial open set in $\mathbb{R}^n$ has measure zero in $\mathbb{R}^n$
Apr
4
reviewed Approve Integral of $\frac{\sin x}{1+\sin^2x}$ from 0 to $\pi/2$
Apr
3
reviewed Approve Second moment of a PGF and relation to expectation
Apr
3
asked Existence of a number under Artin's conjecture
Apr
2
reviewed Approve Integration Question
Mar
30
comment circle as polar coordinates
@snowman There is indeed no answer. In mathematics the method is usually problem-dependent. From my point of view, what I did is more straightforward, as I'm just calculating the integral, of course a lot of times you solve integrals by doing changes of variables that are not simple isometries such as a translation-rotation. You just have to look in each case which is the best method. In this particular case the integrand is just $r$ in polar coordinates, so trying to evaluate the area of integration in those coordinates seemed to be a better option.
Mar
30
comment circle as polar coordinates
@snowman What you do is equivalent to translating the circle (and the function) to the left so the circle is centered at the origin. That should give the same result. What I did was just evaluate the function in the area in which we're integrating.
Mar
30
comment circle as polar coordinates
@snowman I edited the answer with further details about that.
Mar
30
revised circle as polar coordinates
added 340 characters in body
Mar
30
answered circle as polar coordinates
Mar
24
comment About this congruence implication
you mean when $X=0$?, then it's just Fermat's little theorem.
Mar
24
comment About this congruence implication
Thank you so much. The second one was unneccessary, but I was reading it in a paper and they said that that was an implication of both equations. Thank you again
Mar
24
accepted About this congruence implication
Mar
24
asked About this congruence implication
Mar
12
accepted Help visualizing this quotient space
Mar
12
comment Help visualizing this quotient space
I was seeing that cylinder, just wanted to be able to visualize that "wrapping and stretching" a little bit better.
Mar
11
awarded  Custodian
Mar
11
asked Help visualizing this quotient space
Dec
17
awarded  Caucus