Intelligent Mathematics

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Intelligent Mathematics Computational Analysis
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Author : George A. Anastassiou
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-19
Intelligent Mathematics Computational Analysis written by George A. Anastassiou 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 2011-03-19 with Technology & Engineering categories.
Knowledge can be modeled and computed using computational mathematical methods, then lead to real world conclusions. The strongly related to that Computational Analysis is a very large area with lots of applications. This monograph includes a great variety of topics of Computational Analysis. We present: probabilistic wavelet approximations, constrained abstract approximation theory, shape preserving weighted approximation, non positive approximations to definite integrals, discrete best approximation, approximation theory of general Picard singular operators including global smoothness preservation property, fractional singular operators. We also deal with non-isotropic general Picard singular multivariate operators and q-Gauss-Weierstrass singular q-integral operators. We talk about quantitative approximations by shift-invariant univariate and multivariate integral operators, nonlinear neural networks approximation, convergence with rates of positive linear operators, quantitative approximation by bounded linear operators, univariate and multivariate quantitative approximation by stochastic positive linear operators on univariate and multivariate stochastic processes. We further present right fractional calculus and give quantitative fractional Korovkin theory of positive linear operators. We also give analytical inequalities, fractional Opial inequalities, fractional identities and inequalities regarding fractional integrals. We further deal with semi group operator approximation, simultaneous Feller probabilistic approximation. We also present Fuzzy singular operator approximations. We give transfers from real to fuzzy approximation and talk about fuzzy wavelet and fuzzy neural networks approximations, fuzzy fractional calculus and fuzzy Ostrowski inequality. We talk about discrete fractional calculus, nabla discrete fractional calculus and inequalities. We study the q-inequalities, and q-fractional inequalities. We further study time scales: delta and nabla approaches, duality principle and inequalities. We introduce delta and nabla time scales fractional calculus and inequalities. We finally study convergence with rates of approximate solutions to exact solution of multivariate Dirichlet problem and multivariate heat equation, and discuss the uniqueness of solution of general evolution partial differential equation \ in multivariate time. The exposed results are expected to find applications to: applied and computational mathematics, stochastics, engineering, artificial intelligence, vision, complexity and machine learning. This monograph is suitable for graduate students and researchers.
Applied Mathematics And Computational Intelligence
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Author : Anna M. Gil-Lafuente
language : en
Publisher: Springer
Release Date : 2018-03-06
Applied Mathematics And Computational Intelligence written by Anna M. Gil-Lafuente and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-06 with Technology & Engineering categories.
This book gathers selected papers presented at the conference of the Forum for Interdisciplinary Mathematics (FIM), held at Palau Macaya, Barcelona, on 18 to 20 November, 2015. The event was co-organized by the University of Barcelona (Spain), the Spanish Royal Academy of Economic and Financial Sciences (Spain) and the Forum for Interdisciplinary Mathematics (India). This instalment of the conference was presented with the title “Applied Mathematics and Computational Intelligence” and particularly focused on the use of Mathematics and Computational Intelligence techniques in a diverse range of scientific disciplines, as well as their applications in real-world problems. The book presents thirty peer-reviewed research papers, organised into four topical sections: on Mathematical Foundations; Computational Intelligence and Optimization Techniques; Modelling and Simulation Techniques; and Applications in Business and Engineering. This book will be of great interest to anyone working in the area of applied mathematics and computational intelligence and will be especially useful for scientists and graduate students pursuing research in these fields.
Artificial Intelligence And Symbolic Mathematical Computing
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Author : Jacques Calmet
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-10-05
Artificial Intelligence And Symbolic Mathematical Computing written by Jacques Calmet 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 1993-10-05 with Computers categories.
This volume contains the papers, updated in some cases, presented at the first AISMC (Artificial Intelligence and Symbolic Mathematical Computations)conference, held in Karlsruhe, August 3-6, 1992. This was the first conference to be devoted to such a topic after a long period when SMC made no appearance in AI conferences, though it used to be welcome in the early days of AI. Some conferences were held recently on mathematics and AI, but none was directly comparable in scope to this conference. Because of the novelty of the domain, authors were given longer allocations of time than usual in which to present their work. As a result, extended and fruitful discussions followed each paper. The introductory chapter in this book, which was not presented during the conference, reflects in many ways the flavor of these discussions and aims to set out the framework for future activities in this domain of research. In addition to the introduction, the volume contains 20 papers.
Mathematical Aspects Of Artificial Intelligence
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Author : Frederick Hoffman
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Mathematical Aspects Of Artificial Intelligence written by Frederick Hoffman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Computers categories.
There exists a history of great expectations and large investments involving artificial intelligence (AI). There are also notable shortfalls and memorable disappointments. One major controversy regarding AI is just how mathematical a field it is or should be. This text includes contributions that examine the connections between AI and mathematics, demonstrating the potential for mathematical applications and exposing some of the more mathematical areas within AI. The goal is to stimulate interest in people who can contribute to the field or use its results. Included in the work by M. Newborn on the famous Deep BLue chess match. He discusses highly mathematical techniques involving graph theory, combinatorics and probability and statistics. G. Shafer offers his development of probability through probability trees with some of the results appearing here for the first time. M. Golumbic treats temporal reasoning with ties to the famous Frame Problem. His contribution involves logic, combinatorics and graph theory and leads to two chapters with logical themes. H. Kirchner explains how ordering techniques in automated reasoning systems make deduction more efficient. Constraint logic programming is discussed by C. Lassez, who shows its intimate ties to linear programming with crucial theorems going back to Fourier. V. Nalwa's work provides a brief tour of computer vision, tying it to mathematics - from combinatorics, probability and geometry to partial differential equations. All authors are gifted expositors and are current contributors to the field. The wide scope of the volume includes research problems, research tools and good motivational material for teaching.
Intelligent Open Learning Systems
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Author : Przemysław Różewski
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-29
Intelligent Open Learning Systems written by Przemysław Różewski 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 2011-07-29 with Computers categories.
In presented book the Intelligent Open Learning Systems (IOLS) are proposed, described, discussed, and evaluated. The IOLS is a system in which traditional methods of online teaching are enhanced through the use of artificial intelligence and cognitive science. This is the main topic of the book. It consists of ten chapters and is divided into three parts. The first part concentrates on the Open Learning System (OLS) analysis, in particular: the social and educational meanings of the OLS, the new role of the teacher and the new requirements regarding the structure of didactic material. Moreover, the cybernetic model of student, teacher and computer collaboration is presented, the teaching-learning process content and its main characteristics are discussed, and the system based approach to the OLS design is proposed. The second part is focused on the problem of knowledge modeling in the OLS based on the ontology and the competence approaches and leading to the learning object concept and competence management in open systems. The third part describes applications of the OLS in the virtual laboratory for competence transfer, the community-built system of distance learning network, and the AGH student city – the real-life application of the OLS concept. The authors’ research findings presented in the book should be useful in various applications related to knowledge management, e-learning systems and information systems.
Universals Versus Particulars The Ultimate Intellectual War
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Author : David Sinclair
language : en
Publisher: Magus Books
Release Date : 2022-01-29
Universals Versus Particulars The Ultimate Intellectual War written by David Sinclair and has been published by Magus Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-29 with Philosophy categories.
There's a huge hole in how humanity thinks about reality. The problem is a very old one, but only a tiny group of philosophers ever took an interest in it. To the average person, it's an obscure and unfathomable issue. To the truly intelligent, it's the key to understanding existence. To clarify this issue is to get rid of so much junk in the way of humanity's ability to explain reality. If you consider yourself one of the smartest people in the world, you have to do what unintelligent people never do, and that's to become interested in the most rarefied topics, topics which seem absurd to the simple-minded, to the sort of people who aren't in the game of explaining reality and never could be. The topic of universals versus particulars is about as unlikely as it gets for understanding our existence, and yet that's exactly where we must look to find the ultimate answers. This debate allows us to makes sense of a foundational problem of science: why science is totally dependent on mathematics even though the mathematical method contradicts the scientific method in every way. Mathematics is for thinking types (rationalists), science for sensing types (empiricists). These are two totally different types of people. Never get them confused. You have to choose a side. The supreme question is whether reality is scientific (material; particular; sensible) or mathematical (mental; universal; intelligible). To put it another way, is reality dead or alive? Is it a mechanism or an organism? Is it stupid, with no purpose, as science says, or is it intelligent, and relentlessly calculating the answer to itself, and driving itself to perfect completion, as it must if it is mathematical? Are you smart enough to understand the answer? Most people aren't. According to Kurt Gödel, a global conspiracy has been in place for centuries to stop humanity from studying Leibniz, the supreme rationalist, and thus, through this neglect, to "make men stupid." There might as well be a global conspiracy given how far mathematical rationalism has fallen in order to create space for scientific empiricism, its philosophical opposite. Scientists, the people of the senses, even claim to be champions of reason and logic. As if! It's time for the greatest paradigm shift of all: from scientific empiricism to mathematical rationalism, from sensing to thinking, from observation to logic, from matter to mind.
Intelligent Data Analysis
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Author : Michael R. Berthold
language : en
Publisher: Springer
Release Date : 2007-06-07
Intelligent Data Analysis written by Michael R. Berthold and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-07 with Computers categories.
This monograph is a detailed introductory presentation of the key classes of intelligent data analysis methods. The twelve coherently written chapters by leading experts provide complete coverage of the core issues. The first half of the book is devoted to the discussion of classical statistical issues, ranging from the basic concepts of probability, through general notions of inference, to advanced multivariate and time series methods, as well as a detailed discussion of the increasingly important Bayesian approaches and Support Vector Machines. The following chapters then concentrate on the area of machine learning and artificial intelligence and provide introductions into the topics of rule induction methods, neural networks, fuzzy logic, and stochastic search methods. The book concludes with a chapter on Visualization and a higher-level overview of the IDA processes, which illustrates the breadth of application of the presented ideas.
Mathematical Models Using Artificial Intelligence For Surveillance Systems
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Author : Padmesh Tripathi
language : en
Publisher: John Wiley & Sons
Release Date : 2024-09-18
Mathematical Models Using Artificial Intelligence For Surveillance Systems written by Padmesh Tripathi and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-18 with Computers categories.
This book gives comprehensive insights into the application of AI, machine learning, and deep learning in developing efficient and optimal surveillance systems for both indoor and outdoor environments, addressing the evolving security challenges in public and private spaces. Mathematical Models Using Artificial Intelligence for Surveillance Systems aims to collect and publish basic principles, algorithms, protocols, developing trends, and security challenges and their solutions for various indoor and outdoor surveillance applications using artificial intelligence (AI). The book addresses how AI technologies such as machine learning (ML), deep learning (DL), sensors, and other wireless devices could play a vital role in assisting various security agencies. Security and safety are the major concerns for public and private places in every country. Some places need indoor surveillance, some need outdoor surveillance, and, in some places, both are needed. The goal of this book is to provide an efficient and optimal surveillance system using AI, ML, and DL-based image processing. The blend of machine vision technology and AI provides a more efficient surveillance system compared to traditional systems. Leading scholars and industry practitioners are expected to make significant contributions to the chapters. Their deep conversations and knowledge, which are based on references and research, will result in a wonderful book and a valuable source of information.
Image And Video Technology
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Author : Shin'ichi Satoh
language : en
Publisher: Springer
Release Date : 2018-06-07
Image And Video Technology written by Shin'ichi Satoh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-07 with Computers categories.
This book constitutes the thoroughly refereed post-conference proceedings of five international workshops held in the framework of the 8th Pacific-Rim Symposium on Image and Video Technology, PSIVT 2017, in Wuhan, China, in November 2017: Workshop on Human Behavior Analysis; Workshop on Educational Cloud and Image/Video Enriched Cloud Services, ECIVECS; Workshop: Vision Meets Graphics, VG; Workshop on Active Electro-Optical Sensors for Aerial and Space Imaging, EO4AS; and Workshop on Computer Vision and Modern Vehicles, CVMV. The 34 revised full papers and 2 posters presented were carefully selected from 103 submissions. The papers cover the full range of state-of-the-art research in image and video technology with topics ranging from well-established areas to novel current trends.
The Handbook On Reasoning Based Intelligent Systems
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Author : Kazumi Nakamatsu
language : en
Publisher: World Scientific
Release Date : 2013-01-18
The Handbook On Reasoning Based Intelligent Systems written by Kazumi Nakamatsu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-18 with Computers categories.
This book consists of various contributions in conjunction with the keywords “reasoning” and “intelligent systems”, which widely covers theoretical to practical aspects of intelligent systems. Therefore, it is suitable for researchers or graduate students who want to study intelligent systems generally.