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Units[Natural]

  

ln

  

natural logarithmic function in the Natural Units environment

  

log

  

general logarithmic function in the Natural Units environment

  

log10

  

common logarithmic function in the Natural Units environment

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

ln(expr)

 

log(expr)

 

log10(expr)

 

log[b](expr)

log[b]expr

Parameters

expr

-

algebraic expression

b

-

algebraic expression, the base of the logarithm

Description

• 

In the Natural Units environment, the arguments for the logarithmic functions can be unit-free, or multiplied by a unit that is energy-equivalent to a rational power of the dimension length(base)/length. Examples of such units are watt/watt(base) (power ratio) or voltage/voltage(base) (voltage ratio).

• 

By default, the unit of the object returned is the nepers.

• 

For other properties, see the global function ln.

Examples

Note: In Maple 2015 and later versions, units are not surrounded by double brackets.

withUnits[Natural]:

VRln5.32voltsvoltsbase

VR:=1.671473303Np

(1)

PRln5.32wattswattsbase

PR:=0.8357366515Np

(2)

dblsmapconvert,VR,PR,'units',dB

dbls:=14.51823264dB,7.259116321dB

(3)

convertvoltsvoltsbase,'dimensions','energy'

lengthbaselength

(4)

convertwattswattsbase,'dimensions','energy'

lengthbase2length2

(5)

mapexp,dbls

5.319999998mbasem,2.306512518mbasem

(6)

See Also

ln

Units

Units/logarithmic_gain

Units/Natural

Units/Natural/exp

 


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