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location Macquarie University
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visits member for 4 years, 10 months
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17h
comment Solving z^n=a+ib using only radicals of positive real numbers
"The answer to your question follows directly from the paper mentioned above." above is not constant across platforms and viewing modes. Could you please employ some more invariant term, so I can know what paper you mean?
Dec
14
answered Numbers with all N-digit prefixes divisible by N
Dec
14
awarded  Good Answer
Dec
12
awarded  Necromancer
Dec
12
comment How to prove that the following double sum is always an integer?
Never mind; math.stackexchange.com/questions/1042332/…
Dec
12
comment How to prove that the following double sum is always an integer?
Also posted to m.se --- you should put a link at each site to the question at the other site.
Dec
11
comment Most dispersed set of points in a disk?
@S.Carnahan, done.
Dec
11
answered Most dispersed set of points in a disk?
Dec
11
comment Most dispersed set of points in a disk?
Actually, I think this is the "Heillbron triangle problem", see en.wikipedia.org/wiki/Heilbronn_triangle_problem
Dec
11
comment Most dispersed set of points in a disk?
This sounds something like the problem of packing $n$ identical circles into a circle. So far as I know, the optimal solution for that problem is not even known for $n=12$, so a billion may be a bit much to ask for.
Dec
10
revised a question about points and line segments in the plane
typo in title
Dec
9
answered Waring's problem
Dec
9
comment Gauss--Lucas type theorem for tracts and higher derivatives of a polynomial
The m.se post is math.stackexchange.com/questions/891169/…
Dec
8
comment How to prove that two univariate polynomials are always algebraically dependent?
If you're going to do this, the way to do it is to give your proof, so we don't waste our time and yours by telling you something you already know.
Dec
8
comment Is a particular type of question about certain infinite sets still being asked?
How about the largest infinite set of cardinality less than the continuum?
Dec
8
comment Is a particular type of question about certain infinite sets still being asked?
But is there a specific entire function which is known to have infinitely many non-equivalent factorizations, but for which it is not known whether that infinity is countable?
Dec
8
comment construct totally real cubic fields
Sorry, still don't follow. $u+1$ has norm $-1$, but you are allowing "up to multiplication by $-1$", so look at $-u-1$. Well, that's no good because it's negative, but one of its conjugates is positive, so take that positive conjugate to be $\sigma_1(-u-1)$. Or is it that you want to assign the $\sigma_i$ first, so that one assignment works for all units?
Dec
8
comment Enumerating ways to decompose an integer into the sum of two squares
@pts, I think for $13^4$ you have to look at $(3+2i)^4$, $(3+2i)^3(3-2i)$, and $(3+2i)^2(3-2i)^2$, which give rise to $120^2+119^2$, $156^2+65^2$, $169^2+0^2$, respectively. But, honestly, why do you not work these out for yourself?
Dec
7
comment construct totally real cubic fields
I don't understand your objection, Ted. That $u$ is a unit, it is positive, and its conjugates are negative. What desired property is it missing?
Dec
7
comment Isomorphism problem for two radical extensions
So, where will your monograph be published?