Displaying similar documents to “An Exercise on Fibonacci Representations”

An exercise on Fibonacci representations

Jean Berstel (2001)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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We give a partial answer to a question of Carlitz asking for a closed formula for the number of distinct representations of an integer in the Fibonacci base.

Representations of Reals in Reverse Mathematics

Jeffry L. Hirst (2007)

Bulletin of the Polish Academy of Sciences. Mathematics

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Working in the framework of reverse mathematics, we consider representations of reals as rapidly converging Cauchy sequences, decimal expansions, and two sorts of Dedekind cuts. Converting single reals from one representation to another can always be carried out in RCA₀. However, the conversion process is not always uniform. Converting infinite sequences of reals in some representations to other representations requires the use of WKL₀ or ACA₀.

Factor representations of diffeomorphism groups

Robert P. Boyer (2003)

Studia Mathematica

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We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in...

Lucas partitions.

Robbins, Neville (1998)

International Journal of Mathematics and Mathematical Sciences

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