Cross-set scale: Difference between revisions

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	A '''cross-set scale''' is a [[scale]] generated by taking every ordered pair in the [[Wikipedia:Cartesian product\|Cartesian product]] of two or more scales, or of a scale with itself, and stacking all elements in each ordered pair. In mathematical notation, the cross-set of scales ''A'', ''B'', ..., ''Z'' is:		A '''cross-set scale''' is a [[scale]] generated by taking every ordered pair in the [[Wikipedia:Cartesian product\|Cartesian product]] of two or more scales, or of a scale with itself, and stacking all elements in each ordered pair. In mathematical notation, the cross-set of scales ''A'', ''B'', ..., ''Z'' is (note that stacking has been written as addition):

	<math>\text{Cross-set}(A, B, ..., Z) = \{ a + b + \cdots + z : (a, b, ..., z) \in A \times B \times \cdots \times Z\}.</math>		<math>\text{Cross-set}(A, B, ..., Z) = \{ a + b + \cdots + z : (a, b, ..., z) \in A \times B \times \cdots \times Z\}.</math>