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Posets :: magnitude

magnitude -- computes the magnitude of a poset



The magnitude of $P$ is the sum over all relations $v \leq w$ of the Möbius number $\mu(v,w)$.

This integer is multiplicative for Cartesian product of posets, and additive for disjoint union.

i1 : B = booleanLattice 3;
i2 : z = magnitude B

o2 = 1

Ways to use magnitude :

For the programmer

The object magnitude is a method function.