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Mathematica® Teacher's Edition (2002)

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Product

FilledSmallSquare Product[f, i, imax] evaluates the product .
FilledSmallSquare Product[f, i, imin, imax] starts with i = imin. Product[f, i, imin, imax, di] uses steps di.
FilledSmallSquare Product[f, i, imin, imax, j, jmin, jmax, ... ] evaluates the multiple product .

FilledSmallSquare Product[f, i, imax] can be entered as .
FilledSmallSquare can be entered as AliasIndicatorprodAliasIndicator or \[Product].
FilledSmallSquare Product[f, i, imin, imax] can be entered as .
FilledSmallSquare The limits should be underscripts and overscripts of in normal input, and subscripts and superscripts when embedded in other text.
FilledSmallSquare Product evaluates its arguments in a non-standard way (see Section A.4.2).
FilledSmallSquare Product uses the standard Mathematica TE iteration specification.
FilledSmallSquare The iteration variable i is treated as local.
FilledSmallSquare In multiple products, the range of the outermost variable is given first.
FilledSmallSquare The limits of a product need not be numbers. They can be Infinity or symbolic expressions.
FilledSmallSquare If a product cannot be carried out explicitly by multiplying a finite number of terms, Product will attempt to find a symbolic result. In this case, f is first evaluated symbolically.
FilledSmallSquare Product can do essentially all products that are given in standard books of tables.
FilledSmallSquare Product is output in StandardForm using .
FilledSmallSquare See The Mathematica Book on the web: Section 1.5.4.
FilledSmallSquare Implementation Notes: see Section A.9.5.
FilledSmallSquare See also: Do, Sum, Table, NProduct.