Application of mathematics to perfect shufflers

Date of Publication

1998

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/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."

Abstract Format

html

Language

English

Format

Print

Accession Number

TU08786

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

41 leaves

Keywords

Card games; Mathematical recreations; Graph theory; Modular arithmetic

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