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Titlebook: Mathematical Theory of Uniformity and its Applications in Ecology and Chaos; Chuanwen Luo,Chuncheng Wang Book 2022 The Author(s), under ex

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發(fā)表于 2025-3-21 18:17:00 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Mathematical Theory of Uniformity and its Applications in Ecology and Chaos
編輯Chuanwen Luo,Chuncheng Wang
視頻videohttp://file.papertrans.cn/627/626656/626656.mp4
概述Puts forward a new mathematical theory to study chaotic phenomenon based on the uniform degree.Proves the better performance of uniform theory compared with entropy and Lyapunov exponent.Provides appl
叢書名稱SpringerBriefs in Applied Sciences and Technology
圖書封面Titlebook: Mathematical Theory of Uniformity and its Applications in Ecology and Chaos;  Chuanwen Luo,Chuncheng Wang Book 2022 The Author(s), under ex
描述This book puts forward a new mathematical theory to study chaotic phenomenon.?The uniform theory?is established on the basis of two elementary concept of circle and externally tangent square in mathematics.?The author studies the uniformity of a finite set of points distributed in space by uniform theory.?This book also illustrates that uniform theory performs better than other indices such as entropy and Lyapunov exponent in chaos measurement by numerous examples.?.This book develops a new mathematical tool for studying chaos so it will be appealing to students and researchers interested in theory of chaos. It also has potential applications in various fields such as Engineering, Forestry and Ecology..
出版日期Book 2022
關(guān)鍵詞uniform degree; uniformity; chaos measurement; forestry and ecology; chaotic orbits; chaometry; logistic m
版次1
doihttps://doi.org/10.1007/978-981-19-5512-9
isbn_softcover978-981-19-5511-2
isbn_ebook978-981-19-5512-9Series ISSN 2191-530X Series E-ISSN 2191-5318
issn_series 2191-530X
copyrightThe Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:13:46 | 只看該作者
板凳
發(fā)表于 2025-3-22 03:36:49 | 只看該作者
Uniform Degree,te features of a pattern. Based on the uniform degree defined in this context, a pattern with uniform degree zero, like a periodic orbit, is the most aggregate pattern and the uniform degree of any chaotic orbit must be greater than 0. For any segment of a chaotic orbit, it may behave in either an a
地板
發(fā)表于 2025-3-22 06:15:27 | 只看該作者
,An Interpretation of?Chaos by?Uniform Degree,tion of the expected average uniform degree, and .-step chaometry defined below can be used to evaluate the degree of chaos. As known to all, the uniform distribution is an ultimate case of chaos. In Chap. 1, the uniformity theorem is proved and the conjecture verified by a wide range of numerical s
5#
發(fā)表于 2025-3-22 11:35:01 | 只看該作者
,Simulations on?,-Step Chaometry,The role of uniform degree is similar to entropy, while its accuracy is much better than entropy. Therefore, uniform degree may also be employed to investigate the problems arising from thermodynamics. In this chapter, more numerical simulations will be carried out, even though some numerical result
6#
發(fā)表于 2025-3-22 16:55:50 | 只看該作者
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發(fā)表于 2025-3-22 22:13:57 | 只看該作者
Uniform Degree,. Based on this, the word “chaometry” has been invented, meaning the measurement of chaos. The uniform degree of the pattern generated by a distribution function . in a polygon is abbreviated as the uniform degree of a distribution function, denoted by ..
9#
發(fā)表于 2025-3-23 03:14:21 | 只看該作者
Book 2022 numerous examples.?.This book develops a new mathematical tool for studying chaos so it will be appealing to students and researchers interested in theory of chaos. It also has potential applications in various fields such as Engineering, Forestry and Ecology..
10#
發(fā)表于 2025-3-23 05:49:33 | 只看該作者
Chuanwen Luo,Chuncheng WangPuts forward a new mathematical theory to study chaotic phenomenon based on the uniform degree.Proves the better performance of uniform theory compared with entropy and Lyapunov exponent.Provides appl
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