Difference between revisions of "ContinuedFraction Command"
From GeoGebra Manual
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;ContinuedFraction[ <Number> ] | ;ContinuedFraction[ <Number> ] | ||
:Creates [[w:Continued fraction|continued fraction]] of given number. The result is a LaTeX [[Texts|text object]]. The fraction is computed numerically within precision 10<sup>-8</sup>. | :Creates [[w:Continued fraction|continued fraction]] of given number. The result is a LaTeX [[Texts|text object]]. The fraction is computed numerically within precision 10<sup>-8</sup>. | ||
− | {{example|1= | + | :{{example|1=<code>ContinuedFraction[5.45]</code> gives '' <math>5 + \frac{1}{ 2+ \frac{1}{4+ \frac{1}{ 1+ \frac{1}{ 1 } } } }</math> ''}} |
− | <code>ContinuedFraction[5.45]</code> gives | ||
− | '' <math>5 + \frac{1}{ 2+ \frac{1}{4+ \frac{1}{ 1+ \frac{1}{ 1 } } } }</math> '' | ||
− | }} | ||
;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= | + | :{{example|1=<code>ContinuedFraction[5.45, 3]</code> gives '' <math>5 + \frac{1}{ 2+ \frac{1}{4+ ... } }</math> ''}} |
− | <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, ...]}} |
− | :<code>ContinuedFraction[5.45, 3, true]</code> gives [5; 2, 4, ...] | ||
− | }} |
Revision as of 15:52, 2 July 2012
This page is about a feature that is supported only in GeoGebra 4.2. |
- 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, ...]