標題: Titlebook: Elliptic Integrals and Elliptic Functions; Takashi Takebe Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive l [打印本頁] 作者: purulent 時間: 2025-3-21 19:26
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書目名稱Elliptic Integrals and Elliptic Functions影響因子(影響力)學科排名
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書目名稱Elliptic Integrals and Elliptic Functions網(wǎng)絡(luò)公開度學科排名
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書目名稱Elliptic Integrals and Elliptic Functions被引頻次學科排名
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書目名稱Elliptic Integrals and Elliptic Functions年度引用學科排名
書目名稱Elliptic Integrals and Elliptic Functions讀者反饋
書目名稱Elliptic Integrals and Elliptic Functions讀者反饋學科排名
作者: 萬花筒 時間: 2025-3-21 20:25 作者: neologism 時間: 2025-3-22 02:49 作者: Fluctuate 時間: 2025-3-22 08:30
Mathematische Algorithmen im Unterrichtf the first kind. Moreover, extending this b?ection, we constructed a b?ection between an elliptic curve and a larger rectangle with its edges pairwise identified. In fact, via an elliptic integral of the first kind any elliptic curve can be identified with a parallelogram whose edges are pairwise i作者: fluoroscopy 時間: 2025-3-22 11:44 作者: 諷刺滑稽戲劇 時間: 2025-3-22 14:56
Wachstums- und Zerfallsprozesse,ta functions are used in many branches of mathematics and physics, many prerequisites are required to understand those applications, which makes it difficult to explain them in this book. Here, instead, we prove infinite product factorisations of theta functions often used in applications.作者: 諷刺滑稽戲劇 時間: 2025-3-22 21:04 作者: vitreous-humor 時間: 2025-3-22 21:29 作者: 多節(jié) 時間: 2025-3-23 04:22
Wachstums- und Zerfallsprozesse,ta functions are used in many branches of mathematics and physics, many prerequisites are required to understand those applications, which makes it difficult to explain them in this book. Here, instead, we prove infinite product factorisations of theta functions often used in applications.作者: 橫截,橫斷 時間: 2025-3-23 08:55
The Abel–Jacobi Theoremf the first kind. Moreover, extending this b?ection, we constructed a b?ection between an elliptic curve and a larger rectangle with its edges pairwise identified. In fact, via an elliptic integral of the first kind any elliptic curve can be identified with a parallelogram whose edges are pairwise identified. This is the theme of this chapter.作者: 千篇一律 時間: 2025-3-23 10:46
Theta Functions imposing both conditions, ‘doubly periodic’ and ‘holomorphic’, is too restrictive. When the condition ‘holomorphic’ is replaced by ‘meromorphic’, the fruitful theory of elliptic functions is developed, as we saw. In this chapter we loosen the condition ‘doubly periodic’.作者: Middle-Ear 時間: 2025-3-23 14:29 作者: 特征 時間: 2025-3-23 21:53 作者: Diverticulitis 時間: 2025-3-23 22:53 作者: 天空 時間: 2025-3-24 06:05
https://doi.org/10.1007/978-3-8274-2853-0It is natural to call the former an . integral, but why call the latter ‘elliptic’, even though the curve is not an ellipse? In fact, today the word ‘elliptic integral’ is a general term used in the following sense.作者: CORE 時間: 2025-3-24 08:10
Ein Spielzeug mit GruppenstrukturIn this chapter, we are going to see how elliptic integrals are applied in mathematics and physics. Good mathematical objects appear in many situations.作者: enumaerate 時間: 2025-3-24 12:38 作者: synovium 時間: 2025-3-24 15:35
Brennstoffe und ihre technische Verwendung,In the previous chapter we defined Jacobi’s elliptic function sn as the inverse function of the incomplete elliptic integral of the first kind, introduced cn and dn and studied their properties. These Jacobi’s elliptic functions appear in various problems, from which we pick up two applications to physics in this chapter.作者: dry-eye 時間: 2025-3-24 19:23 作者: Crayon 時間: 2025-3-25 02:20 作者: 有效 時間: 2025-3-25 04:47
,über die Weierstra?sche ? — Funktion,How many kinds of domains are there in a plane? Here by the word ‘domain’ we mean a connected open set (or, equivalently, an arcwise-connected open set).作者: 得意人 時間: 2025-3-25 10:39 作者: bioavailability 時間: 2025-3-25 15:23 作者: 一再困擾 時間: 2025-3-25 17:25 作者: Condyle 時間: 2025-3-25 21:34
,Analysis: Ma? und Integration,In the previous chapter we proved that rational functions, rational functions of an exponential function and elliptic functions have addition theorems (algebraic addition formulae). Are there other functions which have algebraic addition formulae? The next Weierstrass–Phragmén theorem1 answers this question.作者: 生銹 時間: 2025-3-26 03:33
Introduction,In this chapter, apart from establishing rigorous definitions and logic, we will survey the various themes in the main part of the book to get an overview of the theory.We also pick up several topics which we shall not deal with later, in order to show the breadth and depth of the theory of elliptic functions.作者: 細查 時間: 2025-3-26 04:45
The Arc Length of CurvesAs a matter of fact, this is nothing more than a paraphrase of the definition of 𝜋: ‘The number 𝜋 is the ratio of a circle’s circumference to its diameter’. However, if you pursue logical rigour, there are many gaps to be filled.作者: 燦爛 時間: 2025-3-26 09:13
Classification of Elliptic IntegralsIt is natural to call the former an . integral, but why call the latter ‘elliptic’, even though the curve is not an ellipse? In fact, today the word ‘elliptic integral’ is a general term used in the following sense.作者: 拋射物 時間: 2025-3-26 16:38 作者: 鋸齒狀 時間: 2025-3-26 18:45
Jacobi’s Elliptic Functions on In this chapter we introduce elliptic functions as inverse functions of elliptic integrals..We use several convergence theorems in real analysis, which we cite in Appendix A.作者: eulogize 時間: 2025-3-27 00:46
Applications of Jacobi’s Elliptic FunctionsIn the previous chapter we defined Jacobi’s elliptic function sn as the inverse function of the incomplete elliptic integral of the first kind, introduced cn and dn and studied their properties. These Jacobi’s elliptic functions appear in various problems, from which we pick up two applications to physics in this chapter.作者: HACK 時間: 2025-3-27 02:24
Elliptic CurvesExercise 7.2 Prove the above proposition. (Hint: (i) follows from the fact that 𝜑(𝑧) does not have multiple roots. For (ii) and (iii) use local coordinates 𝑧 (around a point which is not a branch point) and 𝑤 (around branch points), after checking that they really are local coordinates.)作者: 從屬 時間: 2025-3-27 09:22
Complex Elliptic IntegralsThe expression (8.4) means that ‘in the homology group any closed curve is equivalent to a curve which goes around 𝐴 several times and then goes around 𝐵 several times’. This can be explained in the following way.作者: groggy 時間: 2025-3-27 10:03 作者: 神圣在玷污 時間: 2025-3-27 16:50 作者: Hay-Fever 時間: 2025-3-27 18:24
The Weierstrass ?-FunctionIn the previous chapter we defined elliptic functions as meromorphic functions on an elliptic curve = doubly periodic meromorphic functions on . and studied their properties. In particular, we gave several examples of elliptic functions which are obtained immediately from the definitions.作者: 冒失 時間: 2025-3-27 23:45 作者: neuron 時間: 2025-3-28 04:46
Characterisation by Addition FormulaeIn the previous chapter we proved that rational functions, rational functions of an exponential function and elliptic functions have addition theorems (algebraic addition formulae). Are there other functions which have algebraic addition formulae? The next Weierstrass–Phragmén theorem1 answers this question.作者: 刀鋒 時間: 2025-3-28 10:17
https://doi.org/10.1007/978-3-031-30265-7elliptic functions; elliptic integrals; complex analysis; application to physics; Riemann surfaces; ellip作者: Neutral-Spine 時間: 2025-3-28 14:04 作者: 喃喃訴苦 時間: 2025-3-28 15:00
Moscow Lectureshttp://image.papertrans.cn/e/image/307796.jpg作者: 密切關(guān)系 時間: 2025-3-28 22:11 作者: 豐富 時間: 2025-3-29 00:49 作者: VAN 時間: 2025-3-29 04:12
Riemann Surfaces of Algebraic Functionsard the ‘imaginary direction’. There are many things in mathematics which are invisible in the realm of real numbers but become clearly visible through complex numbers. Many complicated theorems over the real field become simpler over the complex field. The classification theorem of elliptic 作者: A簡潔的 時間: 2025-3-29 09:30 作者: cataract 時間: 2025-3-29 13:25 作者: pus840 時間: 2025-3-29 17:47
Infinite Product Factorisation of Theta Functionsta functions are used in many branches of mathematics and physics, many prerequisites are required to understand those applications, which makes it difficult to explain them in this book. Here, instead, we prove infinite product factorisations of theta functions often used in applications.作者: 嘲笑 時間: 2025-3-29 22:38
2522-0314 he theory is developed in a natural way of thinking.This book gives a comprehensive introduction to those parts of the theory of elliptic integrals and elliptic functions which provide illuminating examples in complex analysis, but which are not often covered in regular university courses. These exa作者: 責難 時間: 2025-3-30 02:18 作者: ABHOR 時間: 2025-3-30 06:57 作者: 殺子女者 時間: 2025-3-30 10:37 作者: wreathe 時間: 2025-3-30 13:45 作者: 暫時別動 時間: 2025-3-30 17:55
Soils,he humid tropics of Africa, South America, South Asia and in Oceania, and may also be established at higher altitudes in South America and in Central and East Africa where cooking and brewing varieties predominate.作者: START 時間: 2025-3-31 00:10
Learning with the Body: Investigating the Link Between Musical Interaction and the Acquisition of Musical Knowledge and Skillsrns of learning, indicating that musical skills arises out of bodily interaction between musicians. Understanding this link provides essential insight in the way young musicians address the modern world with local music learning tools.作者: V切開 時間: 2025-3-31 01:35 作者: 平 時間: 2025-3-31 07:18 作者: carbohydrate 時間: 2025-3-31 10:12
Noraiham Mohamad,Anis Aqilah Abd Ghani,Marvrick Anak Anen,Jeefferie Abd Razak,Raja Izamshah Raja Abdullah,Mohd Amran Mohd Ali,Hairul Effendy Ab Maulod,Sian Meng Seion of hardware and software systems. Also highlighted is the design and development of interfaces and components for use in typical web-based laboratories or similar web-control applications.978-1-4471-5672-7978-1-84628-088-7Series ISSN 1610-3947 Series E-ISSN 2197-8441 作者: figure 時間: 2025-3-31 16:08
Umweltbelastung durch Schadstoffe,ge traditional social hierarchies. Following Mary Louise Pratt’s and Donna Haraway’s foregrounding of these spaces as sites of contention and transformation, we explore the way that Francis’s behaviour with nonhuman animals draws attention to them as victims of economic, social, and moral inequaliti作者: rectum 時間: 2025-3-31 18:25
Harald Reiss which metric spaces can be isometrically embedded in a Hilbert space or, more generally, P in an L space; the other asks for conditions on a pair of metric spaces which will ensure that every contraction or every Lipschitz-Holder map from a subset of X into Y is extendable to a map of the same type作者: 側(cè)面左右 時間: 2025-4-1 01:30
Introduction,iduals based on their behavioral and biological characteristics. In biometrics, biological or behavioral characteristics, such as, fingerprints, face, iris, signature, voice, gait, etc., are used to establish the identity of a person. These characteristics are strongly associated with the identity,
