標(biāo)題: Titlebook: Geometry of Continued Fractions; Oleg Karpenkov Textbook 20131st edition Springer-Verlag Berlin Heidelberg 2013 algebraic irrationalities. [打印本頁(yè)] 作者: odometer 時(shí)間: 2025-3-21 18:44
書(shū)目名稱Geometry of Continued Fractions影響因子(影響力)
書(shū)目名稱Geometry of Continued Fractions影響因子(影響力)學(xué)科排名
書(shū)目名稱Geometry of Continued Fractions網(wǎng)絡(luò)公開(kāi)度
書(shū)目名稱Geometry of Continued Fractions網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書(shū)目名稱Geometry of Continued Fractions被引頻次
書(shū)目名稱Geometry of Continued Fractions被引頻次學(xué)科排名
書(shū)目名稱Geometry of Continued Fractions年度引用
書(shū)目名稱Geometry of Continued Fractions年度引用學(xué)科排名
書(shū)目名稱Geometry of Continued Fractions讀者反饋
書(shū)目名稱Geometry of Continued Fractions讀者反饋學(xué)科排名
作者: seduce 時(shí)間: 2025-3-21 21:29
,L?sung der Fundamentalaufgaben,or infinite regular continued fractions. Further, we prove existence and uniqueness of continued fractions for a given number (odd and even continued fractions in the rational case). Finally, we discuss approximation properties of continued fractions.作者: Jargon 時(shí)間: 2025-3-22 02:10 作者: IDEAS 時(shí)間: 2025-3-22 06:47 作者: –吃 時(shí)間: 2025-3-22 12:47 作者: 洞穴 時(shí)間: 2025-3-22 14:32 作者: 洞穴 時(shí)間: 2025-3-22 18:31 作者: Physiatrist 時(shí)間: 2025-3-23 00:36
Grundgleichungen der Hydraulik,and unit determinant. We say that the matrices . and . from . are integer conjugate if there exists an . matrix . such that .=... A description of integer conjugacy classes in the two-dimensional case is the subject of Gauss’s reduction theory, where conjugacy classes are classified by periods of ce作者: bacteria 時(shí)間: 2025-3-23 02:46
Einführung in die Technische Mechanike Lagrange’s theorem stating that every quadratic irrationality has a periodic continued fraction, conversely that every periodic continued fraction is a quadratic irrationality. One of the ingredients to the proof of Lagrange theorem is the classical theorem on integer solutions of Pell’s equation 作者: Morbid 時(shí)間: 2025-3-23 08:14 作者: quiet-sleep 時(shí)間: 2025-3-23 10:06
,Die Statik des starren K?rpers,this important subject (the study of best approximations, badly approximable numbers, etc.). In this chapter we consider two geometric questions of approximations by continued fractions. First, we prove two classical results on best approximations of real numbers by rational numbers. Second, we desc作者: 粗糙濫制 時(shí)間: 2025-3-23 14:15 作者: 貞潔 時(shí)間: 2025-3-23 19:26
,Einführung in die Kinematik und Kinetik,is not a natural question within the theory of continued fractions. One can hardly imagine any law to write the continued fraction for the sum directly. The main obstacle here is that the summation of rational numbers does not have a geometric explanation in terms of the integer lattice. In this cha作者: CANT 時(shí)間: 2025-3-24 01:04 作者: oxidant 時(shí)間: 2025-3-24 05:55
,Gleichgewicht gestützter K?rper, integer invariants. Further, we use them to study the properties of multidimensional continued fractions. First, we introduce integer volumes of polytopes, integer distances, and integer angles. Then we express volumes of polytopes, integer distances, and integer angles in terms of integer volumes 作者: Phenothiazines 時(shí)間: 2025-3-24 07:20 作者: 切割 時(shí)間: 2025-3-24 10:51 作者: 積習(xí)已深 時(shí)間: 2025-3-24 16:24 作者: Fretful 時(shí)間: 2025-3-24 20:37
Oleg KarpenkovNew approach to the geometry of numbers, very visual and algorithmic.Numerous illustrations and examples.Problems for each chapter.Includes supplementary material: 作者: MANIA 時(shí)間: 2025-3-24 23:34
Springer-Verlag Berlin Heidelberg 2013作者: 并排上下 時(shí)間: 2025-3-25 05:51 作者: meditation 時(shí)間: 2025-3-25 08:49
,L?sung der Fundamentalaufgaben,or infinite regular continued fractions. Further, we prove existence and uniqueness of continued fractions for a given number (odd and even continued fractions in the rational case). Finally, we discuss approximation properties of continued fractions.作者: 庇護(hù) 時(shí)間: 2025-3-25 13:55
Einführung in die Systemtheorietinued fractions in terms of integer lengths of edges and indices of angles for the boundaries of convex hulls of all integer points inside certain angles. In the next chapter we will extend this construction to construct a complete invariant of integer angles. For the geometry of continued fractions with arbitrary elements see Chap.?..作者: 生氣的邊緣 時(shí)間: 2025-3-25 18:24 作者: Lethargic 時(shí)間: 2025-3-25 22:15
Geometry of Regular Continued Fractionstinued fractions in terms of integer lengths of edges and indices of angles for the boundaries of convex hulls of all integer points inside certain angles. In the next chapter we will extend this construction to construct a complete invariant of integer angles. For the geometry of continued fractions with arbitrary elements see Chap.?..作者: Brittle 時(shí)間: 2025-3-26 01:59 作者: 典型 時(shí)間: 2025-3-26 06:12
On Integer Geometry solution. This chapter is entirely dedicated to notions, definitions, and basic properties of integer geometry. We start with general definitions of integer geometry, and in particular, define integer lengths, distances, areas of triangles, and indexes of angles. Further we extend the notion of int作者: 無(wú)關(guān)緊要 時(shí)間: 2025-3-26 11:30 作者: 不確定 時(shí)間: 2025-3-26 12:55 作者: 使顯得不重要 時(shí)間: 2025-3-26 20:44 作者: insipid 時(shí)間: 2025-3-26 21:45
Integer Angles of Integer Triangles classical Euclidean criteria for congruence for triangles and present several examples. Further, we verify which triples of angles can be taken as angles of an integer triangle; this generalizes the Euclidean condition .+.+.=. for the angles of a triangle (this formula will be used later in Chap.?.作者: 完成才會(huì)征服 時(shí)間: 2025-3-27 03:43 作者: FUME 時(shí)間: 2025-3-27 05:46 作者: hysterectomy 時(shí)間: 2025-3-27 12:45 作者: 思想 時(shí)間: 2025-3-27 15:48 作者: Foam-Cells 時(shí)間: 2025-3-27 19:13
Geometry of Continued Fractions with Real Elements and Kepler’s Second Lawnatural extension of this interpretation to the case of continued fractions with arbitrary elements? The aim of this chapter is to answer this question..We start with a geometric interpretation of odd or infinite continued fractions with arbitrary elements in terms of broken lines in the plane havin作者: 使乳化 時(shí)間: 2025-3-27 22:48 作者: Defense 時(shí)間: 2025-3-28 04:52 作者: Dissonance 時(shí)間: 2025-3-28 09:07
Basic Notions and Definitions of Multidimensional Integer Geometry integer invariants. Further, we use them to study the properties of multidimensional continued fractions. First, we introduce integer volumes of polytopes, integer distances, and integer angles. Then we express volumes of polytopes, integer distances, and integer angles in terms of integer volumes 作者: 憎惡 時(shí)間: 2025-3-28 13:58
On Empty Simplices, Pyramids, Parallelepipedsty tetrahedra and the classification of pyramids whose integer points are contained in the base of pyramids in .. Later in the book we essentially use the classification of the mentioned pyramids for studying faces of multidimensional continued fractions. In particular, the describing of such pyrami作者: Promotion 時(shí)間: 2025-3-28 17:00 作者: hematuria 時(shí)間: 2025-3-28 21:47 作者: Working-Memory 時(shí)間: 2025-3-29 00:12
Integer Angles of Integer Trianglesgles of an integer triangle; this generalizes the Euclidean condition .+.+.=. for the angles of a triangle (this formula will be used later in Chap.?. to study toric singularities). Then we exhibit trigonometric relations for angles of integer triangles. Finally, we give examples of integer triangles with small area.作者: maudtin 時(shí)間: 2025-3-29 04:04
Textbook 20131st edition. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. This book introduces a new geomet作者: giggle 時(shí)間: 2025-3-29 11:17 作者: GILD 時(shí)間: 2025-3-29 12:05 作者: 不要嚴(yán)酷 時(shí)間: 2025-3-29 17:15
Einführung in die Technische Mechaniks of convex polygons. After a brief introduction of the main notions and definitions of complex projective toric surfaces, we discuss two problems related to singular points of toric varieties using integer geometry techniques. As an output one has global relations on toric singularities for toric surfaces.作者: defibrillator 時(shí)間: 2025-3-29 22:32
,Gleichgewicht gestützter K?rper,xtremely useful for the computation of multidimensional integer invariants of integer objects contained in integer planes). We conclude this chapter with a discussion of the Ehrhart polynomials, which one can consider a multidimensional generalization of Pick’s formula in the plane.作者: bypass 時(shí)間: 2025-3-30 03:40
Kinetik der einfachen Schwinger,s. The first one is a problem of description of empty simplices in dimensions greater than 3. The second is the lonely runner conjecture. We conclude this chapter with a proof of a theorem on the classification of empty tetrahedra.作者: 陶瓷 時(shí)間: 2025-3-30 07:33
,Der thermodynamische Zustand eines K?rpers,. After that we discuss homeomorphic and polyhedral structure of the sails in general. Finally we classify all two-dimensional faces with integer distance to the origin greater then one and say a few words about the two-dimensional faces with integer distance to the origin equals one.作者: Overthrow 時(shí)間: 2025-3-30 12:17 作者: 無(wú)價(jià)值 時(shí)間: 2025-3-30 16:25
On Integer Geometryhow to find areas of polytopes simply by counting points with integer coordinates contained in them. Finally we formulate one theorem in the spirit of Pick’s theorem: it is the so-called twelve-point theorem.作者: 協(xié)議 時(shí)間: 2025-3-30 18:53 作者: 極小 時(shí)間: 2025-3-30 20:48
Integer Angles of Polygons and Global Relations for Toric Singularitiess of convex polygons. After a brief introduction of the main notions and definitions of complex projective toric surfaces, we discuss two problems related to singular points of toric varieties using integer geometry techniques. As an output one has global relations on toric singularities for toric surfaces.作者: PANIC 時(shí)間: 2025-3-31 03:21 作者: 磨碎 時(shí)間: 2025-3-31 06:53 作者: 魯莽 時(shí)間: 2025-3-31 09:18 作者: 我不怕?tīng)奚?nbsp; 時(shí)間: 2025-3-31 13:26 作者: Alpha-Cells 時(shí)間: 2025-3-31 20:51
