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- W4255327800 abstract "Publisher SummaryThis chapter describes some preliminaries. The geometry of numbers deals with arbitrary bodies and arbitrary lattices in the n-dimensional euclidean space. The aim of the geometry of numbers is to study various quantities describing the behavior of a body with respect to a lattice. The chapter exposes a number of basic properties of convex bodies, star bodies and lattices. A ray set S is called o-symmetric if it is symmetric with respect to o. An o-symmetric ray set S is a star body only if its distance function is continuous. The chapter discusses the concept of a lattice as well as the relations between algebraic number fields and lattices in n-dimensional space." @default.
- W4255327800 created "2022-05-12" @default.
- W4255327800 date "1987-01-01" @default.
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- W4255327800 title "Chapter 1 Preliminaries" @default.
- W4255327800 doi "https://doi.org/10.1016/s0924-6509(08)70412-4" @default.
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