Units[Standard] - Maple Programming Help

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Units[Standard]

 exp
 exponential function

Calling Sequence

 exp(expr) ${ⅇ}^{\mathrm{expr}}$

Parameters

 expr - algebraic expression

Description

 • In the Standard Units environment, the arguments for the exponential functions can be unit-free, or multiplied by a unit with the dimension logarithmic_gain. An error is returned if the dimension of the argument is not one of logarithmic gain.
 • By default, the units of the object returned are a ratio of wave numbers (inverse length). Using energy conversions, this ratio is proportional to a voltage ratio and its square is proportional to a power ratio.
 • Note that the first calling sequence must be entered in 2-D math notation by using either the palettes or command completion. The exponential ${e}^{x}$ will not be recognized if it is entered manually.
 • For other properties, see the global function exp.

Examples

Notes:

 – To enter a unit in 2-D Math input, select the unit from the appropriate Units palette. If the unit you want is not there, select $\mathrm{unit}$ and then enter the unit.
 – In Maple 2015 and later versions, the double brackets around a unit are not displayed unless you are editing the unit.
 > $\mathrm{with}\left(\mathrm{Units}[\mathrm{Standard}]\right):$
 > $\mathrm{ratio}≔{ⅇ}^{15.5⟦'\mathrm{dB}'⟧}$
 ${\mathrm{ratio}}{≔}{5.956621435}{}⟦\frac{{m}{}\left({\mathrm{base}}\right)}{{m}}⟧$ (1)
 > $\mathrm{convert}\left(\mathrm{ratio},'\mathrm{units}',\frac{'\mathrm{volts}'}{'\mathrm{volts}\left(\mathrm{base}\right)'},'\mathrm{energy}'\right)$
 ${5.956621435}{}⟦\frac{{V}}{{V}{}\left({\mathrm{base}}\right)}⟧$ (2)
 > $\mathrm{convert}\left({\mathrm{ratio}}^{2},'\mathrm{units}',\frac{'\mathrm{watt}'}{'\mathrm{watt}\left(\mathrm{base}\right)'},'\mathrm{energy}'\right)$
 ${35.48133892}{}⟦\frac{{W}}{{W}{}\left({\mathrm{base}}\right)}⟧$ (3)
 > $\mathrm{log10}\left(\right)$
 ${0.7750000000}{}⟦{\mathrm{Np}}⟧$ (4)
 > $\mathrm{convert}\left(,'\mathrm{units}','\mathrm{dB}'\right)$
 ${6.731564469}{}⟦{\mathrm{dB}}⟧$ (5)
 > $\mathrm{ln}\left(\right)$
 ${1.784503447}{}⟦{\mathrm{Np}}⟧$ (6)
 > $\mathrm{convert}\left(,'\mathrm{units}','\mathrm{dB}'\right)$
 ${15.50000000}{}⟦{\mathrm{dB}}⟧$ (7)
 > $\mathrm{ln}\left({ⅇ}^{15.5⟦'\mathrm{dB}'⟧}\right)$
 ${1.784503447}{}⟦{\mathrm{Np}}⟧$ (8)