標題: Titlebook: An Introduction to the Geometry of Numbers; J. W. S. Cassels Book 1997 Springer-Verlag Berlin Heidelberg 1997 Diophantine approximation.Pr [打印本頁] 作者: affected 時間: 2025-3-21 17:21
書目名稱An Introduction to the Geometry of Numbers影響因子(影響力)
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書目名稱An Introduction to the Geometry of Numbers網(wǎng)絡(luò)公開度學(xué)科排名
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書目名稱An Introduction to the Geometry of Numbers讀者反饋學(xué)科排名
作者: ARM 時間: 2025-3-21 22:32
https://doi.org/10.1007/978-3-531-90599-0 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 vectors comes into consideration.作者: ellagic-acid 時間: 2025-3-22 02:19
https://doi.org/10.1007/978-3-476-03920-0tice Λ with . (Λ) < Δ. certainly has points other than . in. In this chapter we are concerned with estimates for . from above; that is we wish to find numbers . such that there are certainly lattices Λ with d(Λ) = Δ.which have no points other than the origin in ., i.e. are . -admissible.作者: Triglyceride 時間: 2025-3-22 08:13 作者: languor 時間: 2025-3-22 11:44
Classics in Mathematicshttp://image.papertrans.cn/a/image/155551.jpg作者: 形上升才刺激 時間: 2025-3-22 13:56
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 vectors comes into consideration.作者: ANTI 時間: 2025-3-22 20:42
The theorem of M,-H,tice Λ with . (Λ) < Δ. certainly has points other than . in. In this chapter we are concerned with estimates for . from above; that is we wish to find numbers . such that there are certainly lattices Λ with d(Λ) = Δ.which have no points other than the origin in ., i.e. are . -admissible.作者: 很是迷惑 時間: 2025-3-23 01:02 作者: noxious 時間: 2025-3-23 05:00
,Gegner und Verbündete in der Kohlenkrise,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 branch 作者: 序曲 時間: 2025-3-23 09:11
https://doi.org/10.1007/978-3-531-90599-0 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作者: 哥哥噴涌而出 時間: 2025-3-23 11:43
https://doi.org/10.1007/978-3-476-04103-6 .-dimensional euclidean space is symmetric about the origin (i.e. contains — . when it contains .) and convex [i.e. contains the whole line-segment. + (1 – λ). (0 ≦ λ ≦ 1).when it contains . and.] and has volume .>2., then it contains an integral point . other than the origin. In this way we have a作者: 損壞 時間: 2025-3-23 17:40
Die Kurzgeschichte im Schulunterricht,hat is meant by two lattices Λ and . being near to each other; and this is done by means of homogeneous linear transformations. A homogeneous linear transformation .=. of .-dimensional euclidean space into itself is said to be near to identity transformation if the coefficients τ. in.are near those 作者: PATRI 時間: 2025-3-23 19:28 作者: 狂怒 時間: 2025-3-23 22:23 作者: 誘騙 時間: 2025-3-24 04:05 作者: Aromatic 時間: 2025-3-24 09:00 作者: 盤旋 時間: 2025-3-24 14:17
978-3-540-61788-4Springer-Verlag Berlin Heidelberg 1997作者: 水獺 時間: 2025-3-24 18:19
,Gegner und Verbündete in der Kohlenkrise,In this chapter we introduce the most important concept in the geometry of numbers, that of a lattice, and develop some of its basic properties. The contents of this chapter, except § 2.4 and § 5, are fundamental for almost everything that follows.作者: 無能的人 時間: 2025-3-24 20:53
https://doi.org/10.1007/978-3-476-04103-6In this chapter we introduce a number of concepts which are useful tools in all that follows.作者: JEER 時間: 2025-3-25 00:07
Grundfragen des RundfunkmarktesFor some purposes one requires to know not merely that a lattice Λ has a point in a set ., but that it has a number of linearly independent points in ..作者: 哄騙 時間: 2025-3-25 06:36 作者: 欺騙手段 時間: 2025-3-25 07:29 作者: gentle 時間: 2025-3-25 11:43 作者: 戰(zhàn)勝 時間: 2025-3-25 17:29
Distance-Functions,In this chapter we introduce a number of concepts which are useful tools in all that follows.作者: Omnipotent 時間: 2025-3-25 20:43 作者: sperse 時間: 2025-3-26 00:18
Packings,If . is any .-dimensional set and . a point, we denote by . + . the set of points. +.: .+., .∈.. (1)作者: reperfusion 時間: 2025-3-26 06:29
Inhomogeneous problems,As previously, we say that points . and. are congruent modulo Λ, written. ≡ . (Λ),.where Λ is a lattice, to mean that .—.∈Λ.作者: commute 時間: 2025-3-26 08:46
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 branch 作者: Enteropathic 時間: 2025-3-26 15:30
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作者: 認識 時間: 2025-3-26 16:57
Theorems of B, and M, .-dimensional euclidean space is symmetric about the origin (i.e. contains — . when it contains .) and convex [i.e. contains the whole line-segment. + (1 – λ). (0 ≦ λ ≦ 1).when it contains . and.] and has volume .>2., then it contains an integral point . other than the origin. In this way we have a作者: 青石板 時間: 2025-3-26 22:29 作者: 四牛在彎曲 時間: 2025-3-27 02:15 作者: Collar 時間: 2025-3-27 06:49
The quotient space, space by a lattice. This concept plays an important r?le in the discussion of inhomogeneous problems in Chapter XI: but we shall also need it in Chapter VIII as it gives the most natural interpretation of . theorem about the successive minima of a convex body with respect to a lattice.作者: enflame 時間: 2025-3-27 11:05
Automorphs,ently form a group. Many of the point sets of interest in the geometry of numbers, or which occur naturally in problems arising in other branches of number-theory, have a rich group of automorphs which is reflected in the set of .-admissible lattices. Already in the work in which he introduced the n作者: 拋射物 時間: 2025-3-27 17:02 作者: Corroborate 時間: 2025-3-27 18:17
Theorems of B, and M,n 2..(Λ). In § 2 we shall prove M. theorem and some refinements. We shall not follow M. own proof but deduce his theorem from one of B., which has important applications of its own and which is intuitively practically obvious: if a point set . has volume strictly greater than .(Λ) then it contains t作者: 虛情假意 時間: 2025-3-28 00:50
1431-0821 material is included... the author has written excellent account of an interesting subject." Mathematical Gazette "A well-written, very thorough account ... Among the topi are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; 作者: 不規(guī)則的跳動 時間: 2025-3-28 05:56 作者: Hearten 時間: 2025-3-28 07:13 作者: pus840 時間: 2025-3-28 12:49
Book 1997is included... the author has written excellent account of an interesting subject." Mathematical Gazette "A well-written, very thorough account ... Among the topi are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent 作者: LUMEN 時間: 2025-3-28 17:07 作者: NATAL 時間: 2025-3-28 21:15 作者: Fermentation 時間: 2025-3-29 00:34
Book 1997ong the topi are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." The American Mathematical Monthly作者: Antecedent 時間: 2025-3-29 05:48
1431-0821 unt ... Among the topi are lattices, reduction, Minkowskis Theorem, distance functions, packings, and automorphs; some applications to number theory; excellent bibliographical references." The American Mathematical Monthly978-3-540-61788-4978-3-642-62035-5Series ISSN 1431-0821 Series E-ISSN 2512-5257 作者: Temporal-Lobe 時間: 2025-3-29 08:35
,Gegner und Verbündete in der Kohlenkrise,of number theory, which M. christened “The Geometry of Numbers”, has developed into an independent branch of number-theory which, indeed, has many applications elsewhere but which is well worth studying for its own sake.
