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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

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