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1d

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How to write an abstract for a math paper?
Step #1: write a math paper. 
1d

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Four Dimensional Rook Domination
Burchett has a couple of papers on $k$tuple domination on the rook's graph. I haven't seen the papers, and they are (indexed but) not reviewed in Math Reviews, so I don't know whether they are at all relevant. The references are Congr Numer 199 (2009) 187204 and 209 (2011) 179187. 
Jun 25 
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Conway's box function iterated to produce a hierarchy of nested sets of real numbers
What kind of bounds do you have in mind? In terms of cardinality, countably infinite is countably infinite. All countably infinite sets have the same cardinality. 
Jun 25 
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Black and white setting mathematics lectures
math.stackexchange.com/questions/18843/… 
Jun 25 
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Complex structure on $S^6$ gets published in Journ. Math. Phys
Previous discussion at mathoverflow.net/questions/1973/… 
Jun 25 
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Conway's box function iterated to produce a hierarchy of nested sets of real numbers
The real numbers have cardinality at least $\aleph_1$. There are proper subsets of the reals of cardinality $\aleph_1$, but that adds no further information. Given any countably infinite set of reals, there are reals that aren't in that set, but that again adds no further information. I'm not sure whether that settles the points you raise in your comments. In any event, there are dozens of expository accounts of orders of infinity on the web and in the libraries, and I encourage you to avail yourself of them if you wish to learn more about the matter. 
Jun 23 
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Subsequence and integers as a sum of $\frac{1}{n}$
Previously posted to m.se, math.stackexchange.com/questions/1328872/… 
Jun 23 
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Classic question on integer partitions (with distinct summands)
$R(n,n)$ is the number of partitions of $n$ into distinct parts. This is tabulated at oeis.org/A000009 where there are many references and also asymptotics. 
Jun 23 
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Conway's box function iterated to produce a hierarchy of nested sets of real numbers
That the real numbers have cardinality $\aleph_1$ is not known, but rather is an assertion known as Cantor's Continuum Hypothesis. This hypothesis has been proved to be independent of the usual axioms (ZermeloFrankel with Choice). 
Jun 22 
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Examples of unexpected mathematical images
11630 is in five OEIS sequences, for example, oeis.org/A163279, which was posted in 2009. 12067 is in 9 sequences, including oeis.org/A163675, from 2009. 12407 is in two sequences, 12887 in seven, 13258 in three. 
Jun 21 
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Is this a legitimately correct equation, once I assign some values to the letters?
There's a left parenthesis with no matching right parenthesis. 
Jun 21 
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Pseudodecision procedures for first order arithmetic
Then perhaps, Roger, the onus is on you to do a better job of explaining your question. 
Jun 21 
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How to Randomly Generate SAT Scores in R with max and min?
We do math research here at MO. I'm sure you can find a more suitable site for your question. 
Jun 19 
awarded  Nice Answer 
Jun 18 
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Book on the tetrahedron
There's a website element.hr/artikli/440/tetrahedron that might help if you can get through to it, but I keep getting an error message. 
Jun 18 
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MonteCarlo computation of the Smith normal form
@Carlo, thanks for looking into this more deeply than I did. I note that the references in (at least one of) the papers I listed seem to include papers that discuss probabilistic computation of Smith normal form, and maybe one of those is the one JanChristophe is looking for. 
Jun 18 
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Probability that a stick randomly broken in five places can form a tetrahedron
The Illinois students have put up a video, youtube.com/watch?v=qFeyBCGviNQ 
Jun 18 
revised 
undergraduate logic textbook
edited tags 
Jun 18 
answered  MonteCarlo computation of the Smith normal form 
Jun 18 
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What would you do if you improve your own result that is submitted but not publishied?
@Andy, wouldn't trustworthiness depend on the distribution from which the random people on the internet are drawn? 