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Sum

FilledSmallSquareSum[f, i, imax] evaluates the sum .

FilledSmallSquareSum[f, i, imin, imax] starts with i = imin. Sum[f, i, imin, imax, di] uses steps di.

FilledSmallSquareSum[f, i, imin, imax, j, jmin, jmax, ... ] evaluates the multiple sum .

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

FilledSmallSquare can be entered as AliasIndicatorsumAliasIndicator or \[Sum].

FilledSmallSquareSum[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.

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

FilledSmallSquareSum uses the standard Mathematica iteration specification.

FilledSmallSquare The iteration variable i is treated as local.

FilledSmallSquare In multiple sums, the range of the outermost variable is given first.

FilledSmallSquare The limits of summation need not be numbers. They can be Infinity or symbolic expressions.

FilledSmallSquare If a sum cannot be carried out explicitly by adding up a finite number of terms, Sum will attempt to find a symbolic result. In this case, f is first evaluated symbolically.

FilledSmallSquareSum can do essentially all sums that are given in standard books of tables.

FilledSmallSquareSum is output in StandardForm using .

FilledSmallSquare See The Mathematica Book: Section 1.5.4 and Section 3.6.7.

FilledSmallSquare Implementation Notes: see section A.9.5.

FilledSmallSquare See also: Do, Product, Table, NSum, ZTransform.

Further Examples

DSolve (modified)Product (modified)