Kettenbruch (Befehl)

Kettenbruch[ <Zahl> ]

Erzeugt den Kettenbruch der angegebenen Zahl in Form eines LaTeX Textobjekts. Der Bruch wird numerisch mit einer Genauigkeit von 10^-8 berechnet.

Beispiel: Kettenbruch[5.45] erzeugt 5 + \frac{1}{ 2+ \frac{1}{4+ \frac{1}{ 1+ \frac{1}{ 1 } } } }

Kettenbruch[ <Zahl> ] , <Ebene> ]

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.

Beispiel: Kettenbruch[5.45, 3] erzeugt 5 + \frac{1}{ 2+ \frac{1}{4+ ... } }

Kettenbruch[ <Zahl> ] , <Ebene (optional)>, <Kurzschrift 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.

Beispiel: ContinuedFraction[5.45, true] gives [5; 2, 4, 1, 1]

ContinuedFraction[5.45, 3, true] gives [5; 2, 4, ...]