Name: Lonely Runner Conjecture
SKU: 67011130
Price: 223.57 EUR
Availability: InStock
ISBN: 9786131310669

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Type

Physical Book

Publisher

Betascript Publishing

Language

English

Format

Paperback

Dimensions

22x15x0.8 cm

ISBN13

9786131310669

Lonely Runner Conjecture

New Book Imported to Austria

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223,57 €

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Synopsis "Lonely Runner Conjecture"

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In number theory, and especially the study of diophantine approximation, the lonely runner conjecture is a conjecture originally due to J. M. Wills in 1967. Applications of the conjecture are widespread in mathematics; they include view obstruction problems and calculating the chromatic number of distance graphs and circulant graphs. The conjecture was given its picturesque name by L. Goddyn in 1998.Consider k + 1 runners on a circular track of unit length. At t = 0, all runners are at the same position and start to run; the runners'' speeds are pairwise distinct. A runner is said to be lonely if she is at distance of at least 1/(k + 1) from each other runner. The lonely runner conjecture states that every runner gets lonely at some time.

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