In mathematics, discrepancy theory describes the deviation of a situation from the state one would like it to be. It is also called theory of irregularities of distribution. This refers to the theme of classical discrepancy theory, namely distributing points in some space such that they are evenly distributed with respect to some (mostly geometrically defined) subsets. The discrepancy (irregularity) measures how far a given distribution deviates from an ideal one.
Discrepancy theory can be described as the study of inevitable irregularities of distributions, in measure-theoretic and combinatorial settings. Just as Ramsey theory elucidates the impossibility of total disorder, discrepancy theory studies the deviations from total uniformity.
The dynamical motion of the zeros of the partial sums of [e.sup.z], and its relationship to discrepancy theory.(Report)
Jan 01, 2008; AMS subject classifications. 30C15, 30E15 1. Introduction. Let [S.sub.n](z) := [SIGMA].sup.n.sub.k=0] [z.sup.k]/k! denote the...
Children's Self-Concepts and Peer Relationships: Relating Appearance Self-Discrepancies and Peer Perceptions of Social Behaviors
Dec 01, 1998; This research examined fourth, fifth, and sixth graders self-conceptualizations about their own appearance in relation to peer...