 Summand - Maple Help

Student[Calculus1]

 Summand
 find the summands in an expression Calling Sequence Summand(f) Parameters

 f - algebraic expression or list, set, or rtable of algebraic expressions Description

 • The Summand(f) command returns a list containing the summands found in f, sorted by summation nesting level. Examples

 > $\mathrm{with}\left({\mathrm{Student}}_{\mathrm{Calculus1}}\right):$
 > $R≔\mathrm{ApproximateInt}\left(\mathrm{sin}\left(x\right)+3,x=0..3,\mathrm{output}=\mathrm{sum}\right)$
 ${R}{≔}\frac{{3}{}\left({\sum }_{{i}{=}{0}}^{{9}}{}\left({\mathrm{sin}}{}\left(\frac{{3}{}{i}}{{10}}{+}\frac{{3}}{{20}}\right){+}{3}\right)\right)}{{10}}$ (1)
 > $\mathrm{Summand}\left(R\right)$
 $\left[{\mathrm{sin}}{}\left(\frac{{3}{}{i}}{{10}}{+}\frac{{3}}{{20}}\right){+}{3}\right]$ (2)
 > $\mathrm{Summand}\left({\sum }_{n=1}^{\mathrm{∞}}\phantom{\rule[-0.0ex]{5.0px}{0.0ex}}\frac{1}{{n}^{2}}\right)$
 $\left[\frac{{1}}{{{n}}^{{2}}}\right]$ (3)
 > $\mathrm{Summand}\left(\left[{\sum }_{n}\phantom{\rule[-0.0ex]{5.0px}{0.0ex}}\frac{1}{n},{\sum }_{k}\phantom{\rule[-0.0ex]{5.0px}{0.0ex}}\frac{1}{{k}^{2}},{\sum }_{k=1}^{10}\phantom{\rule[-0.0ex]{5.0px}{0.0ex}}{\sum }_{j=1}^{10}\phantom{\rule[-0.0ex]{5.0px}{0.0ex}}\frac{j}{{k}^{3}}\right]\right)$
 $\left[\frac{{j}}{{{k}}^{{3}}}{,}\frac{{1}}{{n}}{,}\frac{{1}}{{{k}}^{{2}}}{,}{\sum }_{{j}{=}{1}}^{{10}}{}\frac{{j}}{{{k}}^{{3}}}\right]$ (4)
 > $\mathrm{Summand}\left(\right)$
 $\left[\frac{{j}}{{{k}}^{{3}}}\right]$ (5)