“Near Noble Number”的概念、定义、习题解题方法及翻译-数学辞典

单词

Near Noble Number

释义

Near Noble Number

A Real Number whose Continued Fraction is periodic, and the periodic sequence of terms iscomposed of a string of 1s followed by an Integer ,

(1)

This can be written in the form

(2)

which can be solved to give

(3)

where

is a Fibonacci Number. The special case

gives

(4)

See also Noble Number

References

Schroeder, M. R. Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity, 2nd enl. ed., corr. printing. Berlin: Springer-Verlag, 1990.

Schroeder, M. ``Noble and Near Noble Numbers.'' In Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise. New York: W. H. Freeman, pp. 392-394, 1991.

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