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Convergent (continued fraction)
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Geliefert zwischen Fr., 30.01.2026 und Mo., 02.02.2026
Details
A convergent is one of a sequence of values obtained by evaluating successive truncations of a continued fraction. The nth convergent is also known as the nth approximant of a continued fraction.Every real number can be expressed as a regular continued fraction in canonical form. Each convergent of that continued fraction is in a sense the best possible rational approximation to that real number, for a given number of digits. Such a convergent is usually about as accurate as a finite decimal expansion having as many digits as the total number of digits in the nth numerator and nth denominator. For example, the third convergent 333/106 for (Pi) is roughly 3.1415094, which is not quite as accurate as the 6-digit 3.14159; the fourth convergent 355/113 = 3.14159292 is more accurate than the 6-digit decimal.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131106682
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131106682
- Format Fachbuch
- Titel Convergent (continued fraction)
- Herausgeber Betascript Publishing
- Anzahl Seiten 112
- Genre Mathematik
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