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In mathematics, a Cartesian product is a mathematical operation which returns a set (or product set or simply product) from multiple sets. That is, for sets ''A'' and ''B'', the Cartesian product is the set of all ordered pairs where and . Products can be specified using set-builder notation, e.g. :〔Warner, S: ''Modern Algebra'', page 6. Dover Press, 1990.〕 A table can be created by taking the Cartesian product of a set of rows and a set of columns. If the Cartesian product is taken, the cells of the table contain ordered pairs of the form . More generally, a Cartesian product of ''n'' sets, also known as an ''n''-fold Cartesian product, can be represented by an array of ''n'' dimensions, where each element is an ''n''-tuple. An ordered pair is a 2-tuple or couple. The Cartesian product is named after René Descartes,〔cartesian. (2009). In Merriam-Webster Online Dictionary. Retrieved December 1, 2009, from http://www.merriam-webster.com/dictionary/cartesian〕 whose formulation of analytic geometry gave rise to the concept, which is further generalized in terms of direct product. == Examples == 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Cartesian product」の詳細全文を読む スポンサード リンク
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