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Translations of nets and relationship between supreme andL ?-discrepancies by Vsevolod F. Lev is a Mathematics article available to read on EtoBox.
What is Translations of nets and relationship between supreme andL ?-discrepancies about?
As it is shown in [1], L2-discrepancy may substantially (by the order of value) vary under translates of net modulo the unit cube Q~. We prove here, that for all ~ > 1 the supremum of L~-discrepancies of all such translated nets coincides (up to a multiplicative constant) with the supreme discrepancy: ## sup D~(S + ~) × D~(S). c~EQ ~" ## 1. Notation We use the notation of [1]. Vectors in R s are denoted by small latin or Greek letters, as x(k),a, and so on. Lower indices are reserved for vector coordinates, as x~k);c~s. The following two vectors are written in bold to distinguish from scalars: 0 --(0,...,0
Who reads Translations of nets and relationship between supreme andL ?-discrepancies?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Vsevolod F. Lev
- Publisher
- Akadmiai Kiad; Springer-Verlag; Kluwer Academic Publishers; Springer Netherlands; Springer Science and Business Media LLC (ISSN 1588-2632)
- Published
- 1996
- Language
- EN
- Field
- Mathematics (Physical Sciences)