On the Statistics of the Number of FixedDimensional Subcubes in a Random Subset of the nDimensional Discrete Unit Cube
By Svante Janson, Blair Seidler and Doron Zeilberger
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LaTeX source
Written: Feb. 17, 2023
[Appeared in the Palestinian Journal of Mathematics V. 12(3) (2023), 512520.]
Maple package

SMCboole.txt,
a Maple package for computing explicit expressions, in n, for moments of r.v. "number of kdim subcubes" in the (truth table) of a (uniformly) random Boolean function.
Sample Input and Output for SMCboole.txt

If you want to see the third through the sixth moments (about the mean), and the scaled versions, as explicit expressions in n, for the random variable
"number of edges contained in the truthtable of a random Boolean function of n variables"
the input gives the
output.

If you want to see the third and fourth moments (about the mean), and the scaled versions, as explicit expressions in n, for the random variable
"number of squares (i.e. twodimensional unit cubes) contained in the truthtable of a random Boolean function of n variables"
the input gives the
output.

If you want to see the third moment (about the mean), and the scaled version, as an explicit expression in n, for the random variable
"number of 3dim cubes contained in the truthtable of a random Boolean function of n variables"
the input gives the
output.
Mathematical Works by Svante Janson
Blair Seidler's homepage
Papers by Doron Zeilberger.