Programmer Guide/Command Reference/EVAL/log: Difference between revisions

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Logarithm to base <var>b</var>
Logarithm to base <var>b</var>
{{DISPLAYTITLE:log, ln, ld}}
Compute the logarithm of the argument ''x'' element by element.
;Usage: '''<code>log(<var>x</var> , <var>b</var></code>'''
:'''<code>log(<var>x</var>)</code>''' ... common logarithm (base 10)
:'''<code>ln(<var>x</var>)</code>''' ... natural logarithm (base e); alias: <code>log(''x'','''e''')</code>
:'''<code>ld(<var>x</var>)</code>''' ... logarithm to the base 2; alias: <code>log(''x'','''2''')</code>
:;<var>x</var>a scalar, vector or matrix; all elements must be greater than 0
:;<var>b</var>the base of the logarithm; must be a positive number
;Result: The result ''r'' has the same type as ''x'' and contains the logarithm of ''x'' to the specified base ''b'', computed element by element.
;See also: [[Programmer_Guide/Command_Reference/EVAL/npow2|npow2]], [[Programmer_Guide/Command_Reference/EVAL/exp|exp]]
;Note: For the inverse function the [[Programmer_Guide/Command_Reference/EVAL#Operators|operater ''^'']] can be used; e.g.: 10^''x'', e^''x'', ...
Example:
<pre>
#a := eval vv(1,2,3,4,5)
#b := eval init(5,2,0)
#c := eval vmcol($#a, $#b, $#a)
// -> $#c is a matrix with 4 rows and 5 columns:
//    $#c[*,*] = $#a,  #c[1,*] = $#b[*,0],  $#c[2,*] = $#b[*,1],  $#c[3,*] = $#a
</pre>
[[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]]

Revision as of 13:29, 6 April 2011

log

Logarithm

Usage:

log(x)

Function:

Common logarithm (b=10)

Usage:

log(x, b)

Function:

Logarithm to base b

Warning: Display title "log, ln, ld" overrides earlier display title "log". Compute the logarithm of the argument x element by element.

Usage
log(x , b
log(x) ... common logarithm (base 10)
ln(x) ... natural logarithm (base e); alias: log(x,e)
ld(x) ... logarithm to the base 2; alias: log(x,2)
xa scalar, vector or matrix; all elements must be greater than 0
bthe base of the logarithm; must be a positive number
Result
The result r has the same type as x and contains the logarithm of x to the specified base b, computed element by element.
See also
npow2, exp
Note
For the inverse function the operater ^ can be used; e.g.: 10^x, e^x, ...

Example:

#a := eval vv(1,2,3,4,5)
#b := eval init(5,2,0)
#c := eval vmcol($#a, $#b, $#a) 
// -> $#c is a matrix with 4 rows and 5 columns:
//    $#c[*,*] = $#a,  #c[1,*] = $#b[*,0],  $#c[2,*] = $#b[*,1],  $#c[3,*] = $#a

<function list>

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