Non-Linear Images of \(\mu\)-Shadings, Shadings in \(\mathbb{R}^2\), and Quotient Sets of \(\mu\)-Shadings
| Autor: | Neu, Keith, Strobin, Filip |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
quotient set
Lebesgue measure ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION GeneralLiterature_MISCELLANEOUS Archimedean set sum set almost translation-invariant Hamel basis almost invariance Banach measure shade-almost invariance 28A12 Hardware_ARITHMETICANDLOGICSTRUCTURES shading ComputingMethodologies_COMPUTERGRAPHICS almost isometry-invariant |
| Zdroj: | Real Anal. Exchange 38, no. 2 (2012), 273-298 |
| Popis: | In the paper we prove that some natural modifications (for instance, images under some functions, Cartesian products, quotient sets) of certain types of \(\mu\)-shadings (or shadings), are other examples of \(\mu\)-shadings (or shadings). The studies of shadings and \(\mu\)-shadings were initiated by R. Mabry in 1990. Our work is a continuation of his and K. Neu's research in this field. In particular, we solve one problem posed by R. Mabry. |
| Databáze: | OpenAIRE |
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