Difference between revisions of "Numerator Command"
From GeoGebra Manual
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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 | + | ;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 | + | ;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 | + | ;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.
Note: See also Denominator Command and FractionText Command.
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 andNumerator[Simplify[a + b/c]]
yields a c + b