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Sum (modified)Assumptions


FilledSmallSquareProduct[f, i, imax] evaluates the product .

FilledSmallSquareProduct[f, i, imin, imax] starts with i = imin. Product[f, i, imin, imax, di] uses steps di.

FilledSmallSquareProduct[f, i, imin, imax, j, jmin, jmax, ... ] evaluates the multiple product .

FilledSmallSquareProduct[f, i, imax] can be entered as .

FilledSmallSquare can be entered as AliasIndicatorprodAliasIndicator or \[Product].

FilledSmallSquareProduct[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.

FilledSmallSquareProduct evaluates its arguments in a non-standard way (see Section A.4.2).

FilledSmallSquareProduct uses the standard Mathematica 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.

FilledSmallSquareProduct can do essentially all products that are given in standard books of tables.

FilledSmallSquareProduct is output in StandardForm using .

FilledSmallSquare See The Mathematica Book: Section 1.5.4.

FilledSmallSquare Implementation Notes: see section A.9.5.

FilledSmallSquare See also: Do, Sum, Table, NProduct.

Further Examples

Sum (modified)Assumptions