The Design of Slowly Shrinking Labelled Squares

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1975Publisher:JSTORJournal:Mathematics of Computation, volume 29, page 25 (issn: 0025-5718,

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Authors: Berlekamp, Elwyn R.;

doi: 10.2307/2005458 , 10.1090/s0025-5718-1975-0373933-6

The Design of Slowly Shrinking Labelled Squares

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Abstract

This paper considers the nonlinear operator T , which acts on 4-dimensional vectors with nonnegative real components. T transforms such a vector into a new vector whose components are the magnitudes of the differences of cyclically adjacent pairs of components of the previous vector. We show that T is not nilpotent.

Related Organizations

University of California, Berkeley
United States

Keywords

Vector spaces, linear dependence, rank, lineability, Other designs, configurations

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