Difference between revisions of "FractionalPart Function"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>  
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>  
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{{function|fractionalPart}}
 
{{function|fractionalPart}}
 
;fractionalPart( <Expression> ) :Returns the fractional part of the expression.
 
;fractionalPart( <Expression> ) :Returns the fractional part of the expression.

Revision as of 14:29, 27 August 2015

fractionalPart( <Expression> )
Returns the fractional part of the expression.
Examples:
  • fractionalPart( 6 / 5 ) yields \frac{1}{5} in Menu view cas.svg CAS View, 0.2 in Menu view algebra.svg Algebra View
  • fractionalPart( 1/5 + 3/2 + 2 ) yields \frac{7}{10} in Menu view cas.svg CAS View, 0.7 in Menu view algebra.svg Algebra View
Note:

In Mathematics fractional part function is defined sometimes as

x-\lfloor x\rfloor

In other cases as

sgn(x)(\mid x\mid-\lfloor \mid x\mid\rfloor) .

GeoGebra uses the second definition (also used by Mathematica).
To obtain the first function you may use f(x) = x - floor(x)

See also Predefined Functions and Operators.

Comments

The following picture shows the two possible definitions of fractional part function, the lower one is used in GeoGebra. Fractionalpart.png

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