Difference between revisions of "Numerator Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}
;Numerator[ <Function> ]
+
;Numerator( <Function> )
 
:Returns the numerator of the function.
 
:Returns the numerator of the function.
:{{example|1=<div><code><nowiki>Numerator[(3x² + 1) / (2x - 1)]</nowiki></code> yields ''f(x) = 3x² + 1''.</div>}}
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:{{example|1=<code><nowiki>Numerator((3x² + 1) / (2x - 1))</nowiki></code> yields ''f(x) = 3x² + 1''.}}
;Numerator[ <Number> ]
+
;Numerator( <Number> )
:For a rational number returns it's numerator. It uses a numerical method, which limits this command to numbers with small denominator. For irrational output the numerator of a its [[ContinuedFraction Command|continued fraction]] is returned.
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:For a rational number returns its numerator. It uses a numerical method, which limits this command to numbers with small denominator. For irrational input the numerator of its [[ContinuedFraction Command|continued fraction]] is returned.
 
{{note|1=See also [[Denominator Command]] and [[FractionText Command]].}}
 
{{note|1=See also [[Denominator Command]] and [[FractionText Command]].}}
  
  
 
==CAS Syntax==
 
==CAS Syntax==
;Numerator[ <Expression> ]
+
;Numerator( <Expression> )
 
:Returns the numerator of a rational number or expression.
 
:Returns the numerator of a rational number or expression.
 
:{{examples|1=<div>
 
:{{examples|1=<div>
:*<code><nowiki>Numerator[2/3 + 1/15]</nowiki></code> yields ''11''.
+
:*<code><nowiki>Numerator(2/3 + 1/15)</nowiki></code> yields ''11''.
:*If variables ''a, b'' and ''c'' haven't been previously defined in GeoGebra, then <code>Numerator[a/b]</code> yields ''a''  and <code>Numerator[Simplify[a + b/c]]</code> yields ''a c + b''</div>}}
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:*If variables ''a, b'' and ''c'' haven't been previously defined in GeoGebra, then <code>Numerator(a/b)</code> yields ''a''  and <code>Numerator(Simplify(a + b/c))</code> yields ''a c + b''</div>}}

Latest revision as of 08:39, 9 October 2017


Numerator( <Function> )
Returns the numerator of the function.
Example: Numerator((3x² + 1) / (2x - 1)) yields f(x) = 3x² + 1.
Numerator( <Number> )
For a rational number returns its numerator. It uses a numerical method, which limits this command to numbers with small denominator. For irrational input the numerator of its continued fraction is returned.


CAS Syntax

Numerator( <Expression> )
Returns the numerator of a rational number or expression.
Examples:
  • Numerator(2/3 + 1/15) yields 11.
  • If variables a, b and c haven't been previously defined in GeoGebra, then Numerator(a/b) yields a and Numerator(Simplify(a + b/c)) yields a c + b
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