Difference between revisions of "FractionalPart Function"

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*<code><nowiki>fractionalPart( 1/5 + 3/2 + 2 )</nowiki></code> yields <math>\frac{7}{10}</math>.
 
*<code><nowiki>fractionalPart( 1/5 + 3/2 + 2 )</nowiki></code> yields <math>\frac{7}{10}</math>.
 
</div>}}
 
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{{note| 1=<div>For fractional part there are two possible conventions as seen on the graphs below. GeoGebra uses the second one (also used by Mathematica). To obtain the first one you may use <code>f(x)=x-floor(x)</code>, see  [[Predefined Functions and Operators]].</div>}}
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{{note| 1=<div>In Mathematics fractional part function is sometimes defined as <math>x-\lfloor x\rfloor </math>, in other cases as <math>sgn(x)(|x|-\lfloor |x|\rfloor </math>. GeoGebra uses the second definition (also used by Mathematica). To obtain the first function you may use <code>f(x)=x-floor(x)</code>, see  [[Predefined Functions and Operators]].</div>}}

Revision as of 13:21, 18 September 2012

fractionalPart[ <Expression> ]
Returns the fractional part of the expression.
Example:
  • fractionalPart( 6 / 5 ) yields \frac{1}{5},
  • fractionalPart( 1/5 + 3/2 + 2 ) yields \frac{7}{10}.
Note:
In Mathematics fractional part function is sometimes defined as x-\lfloor x\rfloor , in other cases as sgn(x)(|x|-\lfloor |x|\rfloor . GeoGebra uses the second definition (also used by Mathematica). To obtain the first function you may use f(x)=x-floor(x), see 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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