Complex Dynamics In Higher Dimensions
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Complex Dynamics In Higher Dimensions
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Author : John Wesley Robertson
language : en
Publisher:
Release Date : 2000
Complex Dynamics In Higher Dimensions written by John Wesley Robertson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Complex Dynamics In Higher Dimension
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Author : John Erik Fornaess
language : en
Publisher:
Release Date : 1992
Complex Dynamics In Higher Dimension written by John Erik Fornaess and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Several Complex Variables
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Author : Michael Schneider
language : en
Publisher: Cambridge University Press
Release Date : 1999
Several Complex Variables written by Michael Schneider and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Expository articles on Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry, first published in 2000.
Complex Dynamics In Higher Dimension
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Author : John Erik Fornaess
language : en
Publisher:
Release Date : 1993
Complex Dynamics In Higher Dimension written by John Erik Fornaess and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Complex Dynamics In Higher Dimension
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Author : John Erik Fornaess
language : en
Publisher:
Release Date : 1993
Complex Dynamics In Higher Dimension written by John Erik Fornaess and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Real Methods In Complex And Cr Geometry
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Author : John Erik Fornaess
language : en
Publisher: Springer Science & Business Media
Release Date : 2004
Real Methods In Complex And Cr Geometry written by John Erik Fornaess and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with CR submanifolds categories.
Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes
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Author : Boyan Sirakov
language : en
Publisher: World Scientific
Release Date : 2019-02-27
Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes written by Boyan Sirakov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-27 with Mathematics categories.
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Introduction To The Modern Theory Of Dynamical Systems
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Author : Anatole Katok
language : en
Publisher: Cambridge University Press
Release Date : 1995
Introduction To The Modern Theory Of Dynamical Systems written by Anatole Katok and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.
Proceedings Of The International Conference On Applied Sciences And Engineering Icase 2023
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Author : Ulziibayar Vandandoo
language : en
Publisher: Springer Nature
Release Date : 2023-12-30
Proceedings Of The International Conference On Applied Sciences And Engineering Icase 2023 written by Ulziibayar Vandandoo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-30 with Computers categories.
This is an open access book. We kindly welcome to all academicians, researchers, scientists, engineers and graduate students in the related fields to submit their original research papers. Applications in engineering science that require expertise in mathematics, physics and chemistry. Its mission is to become a voice of the applied science community, addressing researchers and practitioners in different areas ranging from mathematics, physics, and chemistry to all related braches of the engineering, presenting verifiable computational methods, findings, and solutions. The Conference provided a setting for discussing recent developments in various engineering and applied science topics, including Mathematics, Chemistry, Physics, Computational science, Material science, Environmental Science and Chemical engineering. The submitted conference papers will be subjected to stringent peer review and carefully evaluated based on originality and clarity of exposition. All the accepted papers will be published in the conference proceedings. The conference provides opportunities for the attendants to share new ideas, experiences in Applied Sciences and Engineering and to establish collaboration for the future.
High Dimensional Regression Analysis And Artificial Intelligence
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Author : Asaf Hajiyev
language : en
Publisher: Springer Nature
Release Date : 2026-01-01
High Dimensional Regression Analysis And Artificial Intelligence written by Asaf Hajiyev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2026-01-01 with Mathematics categories.
In this book, a novel high-dimensional linear and nonlinear regression model is introduced to address, in part, the challenges of evaluating the stability and confidence of large-scale models' interpretability. The book begins by reviewing foundational concepts in regression analysis, and discussing the current state and challenges of AI interpretability. Through an in-depth exploration of regression models, the core principles of data-driven linear regression are explained. To enhance the explanatory power of regression models, variable-parameter regression models are further investigated and extended to variable-parameter nonlinear regression models. To handle complex relationships, the Gauss-Newton iterative method is incorporated, ensuring the stability of high-dimensional nonlinear regression. The Confidence Interval-based Credibility Evaluation (CICE) framework combines statistical indicators—such as interval width, center deviation, and accuracy—into a single score to assess the stability and reliability of explanations, validated through case studies in engineering, finance, and time series prediction. Overall, the book presents a coherent framework for interpretable AI, integrating regression modeling, confidence region construction, and credibility evaluation to enhance interpretability and statistical accountability, fostering more trustworthy AI systems. Chapter 1 introduces the fundamental concepts and theoretical developments of both regression analysis and AI explainability, highlighting their interconnections. Chapter 2 reviews essential probability theory and mathematical statistics, covering random variables, measure spaces, probability distributions, parameter estimation (including least squares and maximum likelihood methods), and asymptotic theory, which serve as the foundation for analyzing model consistency and convergence. Chapter 3 focuses on the effects of correlated errors in linear regression, establishing parameter convergence conditions to ensure the consistency and asymptotic normality of covariance estimators. Chapter 4 introduces variable-parameter regression models and systematically studies M-estimators and generalized regression models within the framework of robust statistics. By addressing non-normal errors and outliers, these methods improve model adaptability. The chapter also establishes the robustness of the generalized regression model through theoretical analysis of covariance estimation. Chapter 5 introduces the Confidence Interval-based Credibility Evaluation (CICE) framework, which integrates multiple statistical indicators into a unified score to assess the stability and reliability of model explanations. Through real-world case studies in engineering, finance, and time series prediction, the effectiveness of CICE in detecting unstable interpretations and enhancing model transparency is demonstrated.