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>}}
 
</div>}}
{{note|1=In Mathematics fractional part function is sometimes defined as <math>x-\lfloor x\rfloor </math>, in other cases as <math>sgn(x)(\mid x\mid-\lfloor \mid x\mid\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]].}}
+
{{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]].}}

Revision as of 23:01, 29 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 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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