Application of mathematics to perfect shufflers

This paper gives us one among all other applications of mathematics in practical ways - specifically, the use of mathematics in perfect shuffles. This study mainly discusses a step-by-step procedure in moving a card at position i to a desired position j through the use of binary trees, modular arith...

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Bibliographic Details
Main Authors: Victoriano, Clarissa L., Evangelista, Karina C.
Format: text
Language:English
Published: Animo Repository 1998
Subjects:
Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/16512
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Institution: De La Salle University
Language: English
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Summary:This paper gives us one among all other applications of mathematics in practical ways - specifically, the use of mathematics in perfect shuffles. This study mainly discusses a step-by-step procedure in moving a card at position i to a desired position j through the use of binary trees, modular arithmetic and some derived functions. Moreover, this is an expanded and more detailed paper based on an article by Sarnath Ramnath and Daniel Scully entitled "Moving Card j to Position j with Perfect Shuffles."