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Title: Math/Number Theory - Visible Structures in Number Theory By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
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Visible Structures in Number Theory next up previous Next: Abstract

Visible Structures in Number Theory

Peter Borwein Loki JörgensonCentre for Experimental& Constructive MathematicsDepartment of Mathematics & StatisticsSimon Fraser University, Burnaby, B.C. CANADA V5L 2T7 B&W paper Gzip'd PostScript (B&W) (236 kB) Color cover page Gzip'd PostScript (color) (306 kB) Alternat cover page Gzip'd PostScript (color) (232 kB) Color cover page with abstract Gzip'd PostScript (color) (148 kB) Color paperGzip'd PostScript (color) (736 kB)Preprint: Submitted for publication ABSTRACTNumber theorists have been interested in the characteristicsof numerical constants like$\pi, e$and $\log{(2)}$for centuries. These numbers, real irrationals, are composed of an unending string of digits in a specific but seemingly random order. As statistical methods and traditional analysis have revealed very little, it has been proposed that the natural visual capacities of human perception be employed to search for complex correlations in the numerical distributions. Keywords irrationality, continued fractions, zero/one polynomi als, visualization IntroductionIn Pursuit of PatternsIn Support of ProofThe Structure of NumbersBinary ExpansionsSequences of PolynomialsQuasi-RationalsComplex ZerosConclusionAcknowledgementsReferencesAbout this document ... loki@cecm.sfu.ca
 

By

Peter

Borwein

and

Loki

Jörgenson.

Recognising

number

patterns

visually.

http://www.cecm.sfu.ca/~loki/Papers/Numbers/

Visible Structures in Number Theory 2008 November

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By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.

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