student(deprecated)/Sum - Maple Help

student

 Sum
 inert form of sum

 Calling Sequence Sum(f, i = a..b)

Parameters

 f - expression to be summed (expression in i) i - summation variable a, b - (optional) upper and lower bounds defining the range of summation for i

Description

 • Important: The student package has been deprecated. Use the superseding package Student instead.
 • This function corresponds to the sum of f for i in the given range.  It is an unevaluated form of the Maple sum function, so only some minor simplifications are performed. Expressions involving Sum can be manipulated by routines such as expand, and changevar.
 • Use value to force Sum to evaluate like sum.
 • The command with(student,Sum) allows the use of the abbreviated form of this command.

Examples

Important: The student package has been deprecated. Use the superseding package Student instead.

 > $\mathrm{with}\left(\mathrm{student}\right):$
 > $\mathrm{Sum}\left(f\left(i\right),i=a..b\right)$
 ${\sum }_{{i}{=}{a}}^{{b}}{}{f}{}\left({i}\right)$ (1)
 > $\mathrm{Sum}\left({x}^{2}+x,x=1..n\right)$
 ${\sum }_{{x}{=}{1}}^{{n}}{}\left({{x}}^{{2}}{+}{x}\right)$ (2)
 > $\mathrm{expand}\left(\right)$
 $\left({\sum }_{{x}{=}{1}}^{{n}}{}{{x}}^{{2}}\right){+}\left({\sum }_{{x}{=}{1}}^{{n}}{}{x}\right)$ (3)