標題: Titlebook: Geometry of Continued Fractions; Oleg N. Karpenkov Textbook 2022Latest edition Springer-Verlag GmbH Germany, part of Springer Nature 2022 [打印本頁] 作者: 詞源法 時間: 2025-3-21 19:18
書目名稱Geometry of Continued Fractions影響因子(影響力)
書目名稱Geometry of Continued Fractions影響因子(影響力)學科排名
書目名稱Geometry of Continued Fractions網(wǎng)絡公開度
書目名稱Geometry of Continued Fractions網(wǎng)絡公開度學科排名
書目名稱Geometry of Continued Fractions被引頻次
書目名稱Geometry of Continued Fractions被引頻次學科排名
書目名稱Geometry of Continued Fractions年度引用
書目名稱Geometry of Continued Fractions年度引用學科排名
書目名稱Geometry of Continued Fractions讀者反饋
書目名稱Geometry of Continued Fractions讀者反饋學科排名
作者: condescend 時間: 2025-3-22 00:09 作者: FECK 時間: 2025-3-22 01:46 作者: Occupation 時間: 2025-3-22 06:17
Zeitstetige Zinsstrukturmodelle,heory. F. Klein generalized the notion of sail to the multidimensional case to study integer solutions of homogenous decomposable forms. We will study this generalization in the second part of this book.作者: 抑制 時間: 2025-3-22 12:48 作者: Geyser 時間: 2025-3-22 13:11 作者: Geyser 時間: 2025-3-22 19:34 作者: generic 時間: 2025-3-22 22:17
On Integer Geometrytions being associated to certain invariants of integer angles. The geometric viewpoint on continued fractions also gives key ideas for generalizing Gauss—Kuzmin statistics to studying multidimensional Gauss’s reduction theory, leading to several results in toric geometry.作者: HUMP 時間: 2025-3-23 01:39
Classical Notions and Definitionsor 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. For more details on the classical theory of cont作者: Fecal-Impaction 時間: 2025-3-23 08:50
On Integer Geometry solution. In the next chapters we give an interpretation of the elements of continued fractions in terms of integer geometry, with the continued fractions being associated to certain invariants of integer angles. The geometric viewpoint on continued fractions also gives key ideas for generalizing G作者: 證明無罪 時間: 2025-3-23 13:44
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 fraction作者: Foregery 時間: 2025-3-23 15:58
Complete Invariant of Integer Anglesger angles, constructing a certain integer broken line called the . of an angle. We combine the integer invariants of a sail into a sequence of positive integers called an .. From one side, the notion of LLS sequence extends the notion of continued fraction (see Remark 4.8), about which we will say 作者: Mumble 時間: 2025-3-23 21:01
Integer Trigonometry for Integer Anglestrigonometry has many similarities to Euclidean trigonometry (for instance, integer arctangents coincide with real arctangents; the formulas for adjacent angles are similar). From another point of view they are totally different, since integer sines and cosines are positive integers; there are two r作者: 很是迷惑 時間: 2025-3-23 22:33
Minima of Quadratic Forms, the Markov Spectrum and the Markov-Davenport Characteristics (excluding the origin). In this chapter we briefly discuss this classical subject, focusing on the discrete Markov spectrum that has the most relevant connection to geometry of continued fractions. We conclude this chapter with the notion of Markov—Davenport characteristic that we use later in the 作者: 慢跑鞋 時間: 2025-3-24 06:17
Continuant Representation of GL(2, ?) Matrices of the modular group (see Section 9.1). It turns out that SL(2, .) can be generated by two elements. Further we discuss an alternative approach to represent elements of GL(2, .) (which includes SL(2, .)) that is based on continuant representation of matrices.作者: carbohydrate 時間: 2025-3-24 08:32
Textbook 2022Latest editiondiverse areas of mathematics..The reader will find an overview of current progress in the geometric theory of multidimensional continued fractions accompanied by currently open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful for undergraduate or graduate courses..作者: Stable-Angina 時間: 2025-3-24 13:45 作者: Aggregate 時間: 2025-3-24 18:01 作者: 恃強凌弱的人 時間: 2025-3-24 21:08 作者: opinionated 時間: 2025-3-25 01:30
Funktionen stochastischer Gr??entinued 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 fraction作者: 把手 時間: 2025-3-25 03:47
Zeitstetige Zinsstrukturmodelle,ger angles, constructing a certain integer broken line called the . of an angle. We combine the integer invariants of a sail into a sequence of positive integers called an .. From one side, the notion of LLS sequence extends the notion of continued fraction (see Remark 4.8), about which we will say 作者: 鉗子 時間: 2025-3-25 10:53 作者: 引起痛苦 時間: 2025-3-25 14:06
Einführung in die Strukturdynamik (excluding the origin). In this chapter we briefly discuss this classical subject, focusing on the discrete Markov spectrum that has the most relevant connection to geometry of continued fractions. We conclude this chapter with the notion of Markov—Davenport characteristic that we use later in the 作者: FER 時間: 2025-3-25 17:08 作者: Oration 時間: 2025-3-25 21:37
Oleg N. KarpenkovNew approach to the geometry of numbers, very visual and algorithmic.Numerous illustrations and examples.Problems for each chapter作者: BET 時間: 2025-3-26 01:38 作者: 不透明 時間: 2025-3-26 06:28
Einführung in die StrukturdynamikIn this chapter we set a more general definition of geometric continued fractions, which is related to the arrangements of pairs of distinct lines passing through the origin (see section 8.1 for basic definitions).作者: Initiative 時間: 2025-3-26 08:35
Einführung in die Str?mungsmaschinenThere are several ways to construct reduced matrices, however as a rule they are closely related with each other. The reason for that might be the structure of the group. We should mention that the approach here is rather different to the classical approach for closed fields via Jordan blocks.作者: BABY 時間: 2025-3-26 14:40
,Kavitations- und überschallgefahr,In this chapter we study the structure of the conjugacy classes of GL(2, .). Recall that GL(2, .) is the group of all invertible matrices with integer coefficients. The group GL(2, .) has another commonly used notation: ., indicating that all matrices of the group has determinants equal either to 1 or to ?1.作者: 散步 時間: 2025-3-26 18:58
Einführung in die Str?mungsmaschinenThe aim of this chapter is to study questions related to the periodicity of geometric and regular continued fractions. The main object here is to prove Lagrange’s theorem stating that every quadratic irrationality has a periodic continued fraction, conversely that every periodic continued fraction is a quadratic irrationality.作者: 植物學 時間: 2025-3-26 21:57 作者: 是突襲 時間: 2025-3-27 03:01 作者: 最后一個 時間: 2025-3-27 06:42
,Methoden der Str?mungssichtbarmachung,In the beginning of this book we discussed the geometric interpretation of regular continued fractions in terms of LLS sequences of sails. Is there a natural extension of this interpretation to the case of continued fractions with arbitrary elements? The aim of this chapter is to answer this question.作者: 草率男 時間: 2025-3-27 11:04 作者: 具體 時間: 2025-3-27 17:21
https://doi.org/10.1007/978-3-662-43199-3In Chap. . we proved a necessary and sufficient criterion for a triple of integer angles to be the angles of some integer triangle. In this chapter we prove the analogous statement for the integer angles of convex polygons. Further, we discuss an application of these two statements to the theory of complex projective toric surfaces.作者: 尖牙 時間: 2025-3-27 20:24 作者: progestin 時間: 2025-3-27 23:49 作者: NAG 時間: 2025-3-28 05:04
Semigroup of Reduced MatricesThere are several ways to construct reduced matrices, however as a rule they are closely related with each other. The reason for that might be the structure of the group. We should mention that the approach here is rather different to the classical approach for closed fields via Jordan blocks.作者: 松果 時間: 2025-3-28 07:52 作者: nitric-oxide 時間: 2025-3-28 11:16
Lagrange’s TheoremThe aim of this chapter is to study questions related to the periodicity of geometric and regular continued fractions. The main object here is to prove Lagrange’s theorem stating that every quadratic irrationality has a periodic continued fraction, conversely that every periodic continued fraction is a quadratic irrationality.作者: Arthritis 時間: 2025-3-28 18:08 作者: 態(tài)學 時間: 2025-3-28 18:48 作者: anaerobic 時間: 2025-3-29 00:58 作者: Isometric 時間: 2025-3-29 04:37
Extended Integer Angles and Their SummationLet us start with the following question. Suppose that we have arbitrary numbers ., ., and . satisfying.作者: FOLD 時間: 2025-3-29 07:23
Integer Angles of Polygons and Global Relations for Toric SingularitiesIn Chap. . we proved a necessary and sufficient criterion for a triple of integer angles to be the angles of some integer triangle. In this chapter we prove the analogous statement for the integer angles of convex polygons. Further, we discuss an application of these two statements to the theory of complex projective toric surfaces.作者: 皮薩 時間: 2025-3-29 11:30
https://doi.org/10.1007/978-3-0348-5874-8or 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. For more details on the classical theory of continued fractions we refer the reader to.作者: 過份艷麗 時間: 2025-3-29 19:27 作者: 原始 時間: 2025-3-29 20:36 作者: 旅行路線 時間: 2025-3-30 00:29 作者: 專橫 時間: 2025-3-30 06:06
Classical Notions and Definitionsor 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. For more details on the classical theory of continued fractions we refer the reader to.作者: 出汗 時間: 2025-3-30 11:57 作者: Minuet 時間: 2025-3-30 12:22 作者: 腐爛 時間: 2025-3-30 17:46
Continuant Representation of GL(2, ?) Matrices of the modular group (see Section 9.1). It turns out that SL(2, .) can be generated by two elements. Further we discuss an alternative approach to represent elements of GL(2, .) (which includes SL(2, .)) that is based on continuant representation of matrices.作者: 煩憂 時間: 2025-3-30 22:48 作者: Chivalrous 時間: 2025-3-31 03:53 作者: 共和國 時間: 2025-3-31 07:44 作者: 懸掛 時間: 2025-3-31 12:49 作者: 誘使 時間: 2025-3-31 13:24
