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Jul
18
comment When does $Ax=b$ have any solutions?
A non-zero determinant is required only for a unique solution.
Feb
4
comment integral from zero to zero
Perhaps the Dirac delta function is an $f$ which gives a non-zero value
Dec
31
answered Am I Calculating Quartiles Correctly?
Nov
7
comment How to put 9 pigs into 4 pens so that there are an odd number of pigs in each pen?
It's certainly not an odd number though!
Aug
16
comment If $AB=I_n$ and $BA=I_m$ then $n=m$.
It is possibly simpler to say that the conditions in the question mean that $rank(A) = m$ and $rank(A) = n$. Since the rank of a matrix is unique that means $n = m$
Aug
1
comment $2^a +1$ is not divisible by $2^b-1$.
@AndréNicolas Thanks, I really appreciate it.
Aug
1
comment $2^a +1$ is not divisible by $2^b-1$.
Can you explain the last line a little more please?
Jun
4
comment $\int^{1}_{0} f^{-1} = 1 - \int^1_0 f$
@Harold Do you mean obvious?
May
22
comment A Question about Doctoral Theses in Mathematics
Good points. I'd also add that a thesis is also a measure of your expertise in the subject matter and research skills (which is essentialy what the doctorate signifies, not a groundbreaking result), and a short thesis may imply a lack thereof.
Apr
4
revised How can I Create an integral that can only be evaluated via complex contour integration?
Made the question consistent with the quote
Apr
4
suggested suggested edit on How can I Create an integral that can only be evaluated via complex contour integration?
Oct
5
awarded  Commentator
Oct
5
comment How to prove that $G_3>0$ in this case?
If cubing is enough to ensure you have a real number, then squaring this will give you a positive number
Oct
5
comment How to prove that $G_3>0$ in this case?
$\omega^6 = \(\omega^3\)^2$
Oct
5
awarded  Editor
Oct
5
revised What sorts of problems can fractals solve?
added 275 characters in body
Oct
5
answered What sorts of problems can fractals solve?
Sep
7
comment Prove that $i^i$ is a real number
@CameronBuie I agree for most practical purposes you don't need to distinguish but formally, since complex numbers and reals have different properties, do you have to do an intermediate conversion? For instance, can you assert $1+0i < 2+0i$ in the same way you can assert $1 < 2$?
Sep
6
comment Prove that $i^i$ is a real number
A pedantic point: is a complex number with a 0 imaginary part the same as a real number?
Sep
8
comment What is your favorite application of the Pigeonhole Principle?
Shouldn't it be: ...containing at least four of them.