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Product

The term "product" refers to the result of one or more multiplications. For example, the mathematical statement would be read " times equals ," where is the product.More generally, it is possible to take the product of many different kinds of mathematical objects, including those that are not numbers. For example, the product of two sets is given by the Cartesian product. In topology, the product of spaces can be defined by using the product topology. The product of two groups, vector spaces, or modules is given by the direct product. In category theory, the product of objects is given using the category product.The product symbol is defined by(1)Useful product identities include(2)(3)

Cumulative product

A cumulative product is a sequence of partial products of a given sequence. For example, the cumulative products of the sequence , are , , , .... Cumulative products can be implemented in the Wolfram Language as Rest[FoldList[Times, 1, list]]

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