Product
Usage
• Product[f, {i, }] evaluates the product . • Product[f, {i, , }] starts with i = . Product[f, {i, , , di}] uses steps di. • Product[f, {i, , }, {j, , }, ... ] evaluates the multiple product .
Notes
• Product[f, {i, }] can be entered as  . •  can be entered as prod or \ [Product]. • Product[f, {i, , }] can be entered as  . • The limits should be underscripts and overscripts of  in normal input, and subscripts and superscripts when embedded in other text. • Product evaluates its arguments in a non-standard way (see Section A.4.2). • Product uses the standard Mathematica iteration specification. • The iteration variable i is treated as local. • In multiple products, the range of the outermost variable is given first. • The limits of a product need not be numbers. They can be Infinity or symbolic expressions. • 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. • Product can do essentially all products that are given in standard books of tables. • New in Version 1; modified in 3.
|