Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of Strong-Uniform Fuzzy Partitions of Arbitrary Dimensions   Strong-uniform fuzzy partition is necessary for the accuracy of fuzzy
partition-based histograms. Most previous research focused on constructing
one-dimensional strong-uniform fuzzy partitions. While to the best of our
knowledge, few have been reported for high-dimensional cases. In order to fill
this theoretical vacancy, this paper proves the existence of high-dimensional
strong-uniform fuzzy partitions via proposing an analytic formula to construct
strong-uniform fuzzy partitions of arbitrary dimensions.

1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an