哄骗 发表于 2025-3-25 06:36:50
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Distance-Functions,In this chapter we introduce a number of concepts which are useful tools in all that follows.Omnipotent 发表于 2025-3-25 20:43:56
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Packings,If . is any .-dimensional set and . a point, we denote by . + . the set of points. +.: .+., .∈.. (1)reperfusion 发表于 2025-3-26 06:29:23
Inhomogeneous problems,As previously, we say that points . and. are congruent modulo Λ, written. ≡ . (Λ),.where Λ is a lattice, to mean that .—.∈Λ.commute 发表于 2025-3-26 08:46:48
Prologue,n space have far-reaching consequences in diverse branches of number theory. For example, he simplified the theory of units in algebraic number fields and both simplified and extended the theory of the approximation of irrational numbers by rational ones (Diophantine Approximation). This new branchEnteropathic 发表于 2025-3-26 15:30:31
Reduction, to it (in the sense of Chapter I, § 4) which bears a special relation to the problem under consideration. This process is independent of the geometrical notions introduced by M. and depends only on the properties of bases of lattices developed in Chapter I. Indeed only the lattice Λ. of integer vec认识 发表于 2025-3-26 16:57:40
Theorems of B, and M, .-dimensional euclidean space is symmetric about the origin (i.e. contains — . when it contains .) and convex and has volume .>2., then it contains an integral point . other than the origin. In this way we have a