Difference between revisions of "FractionalPart Function"
From GeoGebra Manual
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| − | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude> |
{{function|fractionalPart}} | {{function|fractionalPart}} | ||
| − | ;fractionalPart | + | |
| − | {{ | + | ;fractionalPart( <Expression> ) :Returns the fractional part of the expression. |
| − | *<code><nowiki>fractionalPart( 6 / 5 )</nowiki></code> yields <math>\frac{1}{5}</math>, | + | {{examples| 1=<div> |
| − | *<code><nowiki>fractionalPart( 1/5 + 3/2 + 2 )</nowiki></code> yields <math>\frac{7}{10}</math>. | + | *<code><nowiki>fractionalPart( 6 / 5 )</nowiki></code> yields <math>\frac{1}{5}</math> in [[File:Menu view cas.svg|link=|16px]] ''CAS View'', 0.2 in [[File:Menu view algebra.svg|link=|16px]] ''Algebra View''. |
| + | *<code><nowiki>fractionalPart( 1/5 + 3/2 + 2 )</nowiki></code> yields <math>\frac{7}{10}</math> in [[File:Menu view cas.svg|link=|16px]] ''CAS View'', 0.7 in [[File:Menu view algebra.svg|link=|16px]] ''Algebra View''. | ||
</div>}} | </div>}} | ||
| − | {{ | + | {{Note|1=<br> |
| + | In Mathematics fractional part function is defined sometimes as<br> | ||
| + | :<math>x-\lfloor x\rfloor </math><br> | ||
| + | In other cases as<br> | ||
| + | :<math>sgn(x)(\mid x\mid-\lfloor \mid x\mid\rfloor) </math>. <br> | ||
| + | '''''GeoGebra''''' uses the second definition (also used by Mathematica).<br> | ||
| + | To obtain the first function you may use '''<code>f(x) = x - floor(x)</code>'''<br> | ||
| + | ; | ||
| + | See also [[Predefined Functions and Operators]].}} | ||
Latest revision as of 14:39, 27 August 2015
- fractionalPart( <Expression> )
- Returns the fractional part of the expression.
Examples:
fractionalPart( 6 / 5 )yields \frac{1}{5} in
CAS View, 0.2 in 
Algebra View.fractionalPart( 1/5 + 3/2 + 2 )yields \frac{7}{10} in CAS View, 0.7 in 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)
Comments
The following picture shows the two possible definitions of fractional part function, the lower one is used in GeoGebra.
