Overloaded Functions in the Simple Units Environment

Description

 • In the Simple Units environment, any verifications of valid dimensions ignore so-called Unit annotations.
 • In the Simple Units environment, the following functions are overloaded with functions that remove units from their primary arguments, call the appropriate global function, and then multiply the result by the unit. The primary argument can be the first argument, as in expand(3*x*(1-x)*Unit('m')) or a subsequent argument, such as abs(1, 3.3213*Unit('m')) where the first argument is used to denote the derivative.

 abs argument ceil collect combine conjugate csgn evalc evalr expand factor floor frac Im normal Re round seq shake signum simplify trunc

 • Every command in the Simple Units environment that needs to determine whether an expression is valid or not, does so using the Units[TestDimensions] command.
 Note: Prior to Maple 2015, units were displayed surrounded by double brackets.

Examples

 > $\mathrm{with}\left(\mathrm{Units}\left[\mathrm{Simple}\right]\right):$
 > $3\mathrm{Unit}\left('W'\right)x\left(1-x\right)$
 ${3}{}{x}{}\left({1}{-}{x}\right){}⟦{W}⟧$ (1)
 > $\mathrm{expand}\left(\right)$
 $\left({-}{3}{}{{x}}^{{2}}{+}{3}{}{x}\right){}⟦{W}⟧$ (2)
 > $\mathrm{factor}\left(\right)$
 ${-}{3}{}{x}{}\left({-}{1}{+}{x}\right){}⟦{W}⟧$ (3)
 > $\mathrm{assume}\left(0
 > $2\mathrm{ln}\left(y\right)\mathrm{Unit}\left('m'\right)-\mathrm{ln}\left(z\right)\mathrm{Unit}\left('\mathrm{ft}'\right)$
 $\left({2}{}{\mathrm{ln}}{}\left({\mathrm{y~}}\right){-}\frac{{381}{}{\mathrm{ln}}{}\left({\mathrm{z~}}\right)}{{1250}}\right){}⟦{m}⟧$ (4)
 > $\mathrm{combine}\left(,\mathrm{ln}\right)$
 ${\mathrm{ln}}{}\left(\frac{{{\mathrm{y~}}}^{{2}}}{{{\mathrm{z~}}}^{\frac{{381}}{{1250}}}}\right){}⟦{m}⟧$ (5)