Difference between revisions of "Numerator Command"

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m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)")
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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>}}
 
:{{example|1=<div><code><nowiki>Numerator[(3x² + 1) / (2x - 1)]</nowiki></code> yields ''f(x) = 3x² + 1''.</div>}}
;Numerator[ <Number> ]
+
;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 [[ContinuedFraction Command|continued fraction]] is returned.
 
: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]].}}
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==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>}}
 
:*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>}}

Revision as of 17:15, 7 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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