# 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, ...]