Chain

The poset $1 < 2 < \cdots < n$, on which MoebiusFunction is $1$ on a point, $-1$ on a cover, and $0$ on anything longer.

Chain(n)the chain $1 < 2 < \cdots < n$

Typed signatures

Type	Package	Applies
(integer) -> expression<Chain>	incidence	always

Domain: Incidence algebras

Examples

Basic #

live ↗

In$\mathrm{PosetElements}(\mathrm{Chain}(4))$Out$\bigl\lbrack1, 2, 3, 4\bigr\rbrack$

Zero beyond a cover

live ↗

In$\mathrm{MoebiusFunction}(\mathrm{Chain}(4), 1, 3)$Out$0$

About

Examples	2

See also: IncidenceAlgebra, PosetElements, MoebiusFunction