Difference between revisions of "ContinuedFraction Command"

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;ContinuedFraction[ <Number>, <Level> ]  
 
;ContinuedFraction[ <Number>, <Level> ]  
 
:Creates continued fraction of given number. Number of quotients is less than or equal to ''Level'', but never exceeds the number of quotients needed to achieve the precision mentioned above.
 
:Creates continued fraction of given number. Number of quotients is less than or equal to ''Level'', but never exceeds the number of quotients needed to achieve the precision mentioned above.
 +
{{example|1=
 +
<code>ContinuedFraction[5.45, 3]</code> gives
 +
'' <math>5 + \frac{1}{ 2+ \frac{1}{4+ ... } }</math> ''
 +
}}
 
;ContinuedFraction[ <Number>, <Level (optional)>, <Shorthand true|false> ]
 
;ContinuedFraction[ <Number>, <Level (optional)>, <Shorthand true|false> ]
 
:Meaning of first two arguments is same as above. When ''Shorthand'' is true, shorter syntax for the result is used: the LaTeX text contains a list of the integer parts of the continued fraction.
 
:Meaning of first two arguments is same as above. When ''Shorthand'' is true, shorter syntax for the result is used: the LaTeX text contains a list of the integer parts of the continued fraction.
 
{{example|1=  
 
{{example|1=  
 
<code>ContinuedFraction[5.45, true]</code> gives  [5; 2, 4, 1, 1]  
 
<code>ContinuedFraction[5.45, true]</code> gives  [5; 2, 4, 1, 1]  
 +
:<code>ContinuedFraction[5.45, 3, true]</code> gives  [5; 2, 4, ...]
 
}}
 
}}

Revision as of 19:11, 25 June 2012


ContinuedFraction[ <Number> ]
Creates continued fraction of given number. The result is a LaTeX text object. The fraction is computed numerically within precision 10-8.
Example: ContinuedFraction[5.45] gives 5 + \frac{1}{ 2+ \frac{1}{4+ \frac{1}{ 1+ \frac{1}{ 1 } } } }
ContinuedFraction[ <Number>, <Level> ]
Creates continued fraction of given number. Number of quotients is less than or equal to Level, but never exceeds the number of quotients needed to achieve the precision mentioned above.
Example: ContinuedFraction[5.45, 3] gives 5 + \frac{1}{ 2+ \frac{1}{4+ ... } }
ContinuedFraction[ <Number>, <Level (optional)>, <Shorthand true|false> ]
Meaning of first two arguments is same as above. When Shorthand is true, shorter syntax for the result is used: the LaTeX text contains a list of the integer parts of the continued fraction.
Example: ContinuedFraction[5.45, true] gives [5; 2, 4, 1, 1]
ContinuedFraction[5.45, 3, true] gives [5; 2, 4, ...]
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