Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random number generators produce collisions: Why, how many and more   It seems surprising that when applying widely used random number generators
to generate one million random numbers on modern architectures, one obtains, on
average, about 116 collisions. This article explains why, how to mathematically
compute such a number, why they often cannot be obtained in a straightforward
way, how to numerically compute them in a robust way and, among other things,
what would need to be changed to bring this number below 1. The probability of
at least one collision is also briefly addressed, which, as it turns out, again
needs a careful numerical treatment. Overall, the article provides an
introduction to the representation of floating-point numbers on a computer and
corresponding implications in statistics and simulation. All computations are
carried out in R and are reproducible with the code included in this article.

4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg