Cross-set scale: Difference between revisions
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In mathematical notation, the cross-set of scales ''A'', ''B'', ..., ''Z'' is (note that interval stacking has been written as addition): | In mathematical notation, the cross-set of scales ''A'', ''B'', ..., ''Z'' is (note that interval stacking has been written as addition): | ||
<math>\text{Cross-set}(A, B, ..., Z) = A + B + \cdots + Z = \{ a + b + \cdots + z : (a, b, ..., z) \in A \times B \times \cdots \times Z\}.</math> | <math>\begin{align*}\text{Cross-set}(A, B, ..., Z) &= A + B + \cdots + Z \\ &= \{ a + b + \cdots + z : (a, b, ..., z) \in A \times B \times \cdots \times Z\}.\end{align*}</math> | ||
In combinatorics, this operation is called a [[wikipedia:Sumset|sumset]]. | In combinatorics, this operation is called a [[wikipedia:Sumset|sumset]]. | ||