Tuppers Self-referential Formula

Tuppers Self-referential Formula

Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken

     

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Издательство: Книга по требованию
Дата выхода: июль 2011
ISBN: 978-6-1311-4324-3
Объём: 116 страниц
Масса: 196 г
Размеры(В x Ш x Т), см: 23 x 16 x 1

High Quality Content by WIKIPEDIA articles! Tupper's self-referential formula is a self-referential formula defined by Jeff Tupper that, when graphed in two dimensions, can visually reproduce the formula itself. It is used in various math and computer science courses as an exercise in graphing formulae. The formula was first published in his 2001 SIGGRAPH paper that discusses methods related to the GrafEq formula-graphing program he developed. The formula is an inequality defined by: {1over 2} < leftlfloor mathrm{mod}left(leftlfloor {y over 17} rightrfloor 2^{-17 lfloor x rfloor - mathrm{mod}(lfloor yrfloor, 17)},2right)rightrfloor where lfloor cdot rfloor denotes the floor function and mod is the modulo operation.

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