Stirling

The number of ways of partitioning a set of n elements into k nonempty sets iscalled a Stirling set number. For example, the set {1,2,3} can be partitioned into three subsets in one way: {{1},{2},{3}}; into two subsets in three ways: {{1,2},{3}}, {{1,3},{2}}, and {{1},{2,3}}; and into one subset... Platforms: Matlab

Text::NSP::Measures::3D::MI::ps is a Perl module that implements Poisson Stirling Measure for trigrams. SYNOPSIS Basic Usage use Text::NSP::Measures::3D::MI::ps; $ps_value = calculateStatistic( n111=>10, n1pp=>40, np1p=>45, npp1=>42, n11p=>20, n1p1=>23, np11=>21, nppp=>100); if(... Platforms: *nix

Text::NSP::Measures::2D::MI is a Perl module that provides error checks for Loglieklihood, Total Mutual Information, Pointwise Mutual Information and Poisson-Stirling Measure. SYNOPSIS Basic Usage use Text::NSP::Measures::2D::MI::ll; my $npp = 60; my $n1p = 20; my $np1 = 20; my $n11 = 10;... Platforms: *nix

Text::NSP::Measures::2D::MI::ps is a Perl module that implements Poisson-Stirling measure of association for bigrams. SYNOPSIS Basic Usage use Text::NSP::Measures::2D::MI::ps; my $npp = 60; my $n1p = 20; my $np1 = 20; my $n11 = 10; $ps_value = calculateStatistic( n11=>$n11, n1p=>$n1p,... Platforms: *nix

Text::NSP::Measures::3D::MI is a Perl module that provides error checks and framework to implement Loglieklihood, Total Mutual Information, Pointwise Mutual Information and Poisson Stirling Measure for trigrams. SYNOPSIS Basic Usage use Text::NSP::Measures::3D::MI::ll; $ll_value =... Platforms: *nix

INPUT: N the number of elements in the set to be partitionedOUTPUT: a matrix whose element (i,j) is S(i,j) Platforms: Matlab

Nothing fancy here. Just the recurrence relations and double loops.It seems to be the most efficient solution for this problem. Platforms: Matlab

Matlab doesn't provide the values of n! when n>170, but this code can evaluate the logarithm of of n! with absolute accuracy of 1e-12 or better, and relative accuracy of 1e-15 or better. The following codes employ Stirling's integration formula of Gamma function. Platforms: Matlab