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# mu -- Compute the point representing a semigroup in the Kunz cone

- Usage:
    `K = mu L`
    `K = mu H`
- Inputs:
  - L, a list,
  - H, a hash table, produced by apery L
- Outputs:
  - K, a list,

## Description

The apery set A of a semigroup s with multiplicity m has the form A_i = i+ mu_i*m. The point with coordinates mu(L) represents semigroup L in the Kunz cone P_m.

    i1 : m = 3

    o1 = 3

    i2 : L = {3,7}

    o2 = {3, 7}

    o2 : List

    i3 : a = aperySet L

    o3 = {7, 14}

    o3 : List

    i4 : b = mu L

    o4 = {2, 4}

    o4 : List

    i5 : apply (#b, i -> (i+1)+(b_i*m))

    o5 = {7, 14}

    o5 : List

## See also

- aperySet -- Compute the apery set of a numerical semigroup

## Ways to use mu:

- `mu(HashTable)`
- `mu(List)`

## For the programmer

The object mu is a method function.

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/NumericalSemigroups.m2:1776:0.