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51 <082.1> --- Mathematics--Series --- Dislocations in crystals --- Deformations (Mechanics) --- Density functionals. --- Dislocations dans les cristaux --- Déformations (Méchanique) --- Fonctionnelles densité --- Dislocations in crystals. --- Déformations (Méchanique) --- Fonctionnelles densité --- Mathematical analysis --- Chemical and physical cristallography --- Mathematical models. --- Density functionals --- Crystals, Dislocations in --- Dislocation theory --- Dislocations (Crystals) --- Crystallography --- Crystals --- Grain boundaries --- Plasticity --- Twinning (Crystallography) --- Density functional methods --- Density functional theory --- Functional methods, Density --- Functionals, Density --- Functional analysis --- Mathematical models --- Modèles mathématiques --- Chemical and physical crystallography
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"Based on first principle quantum mechanics, electronic structure theory is widely used in physics, chemistry, materials science, and related fields and has recently received increasing research attention in applied and computational mathematics. This book provides a self-contained, mathematically oriented introduction to the subject and its associated algorithms and analysis. It will help applied mathematics students and researchers with minimal background in physics understand the basics of electronic structure theory and prepare them to conduct research in this area. A Mathematical Introduction to Electronic Structure Theory begins with an elementary introduction of quantum mechanics, including the uncertainty principle and the Hartree-Fock theory, which is considered the starting point of modern electronic structure theory. The authors then provide an in-depth discussion of two carefully selected topics that are directly related to several aspects of modern electronic structure calculations: density matrix based algorithms and linear response theory. Chapter 2 introduces the Kohn-Sham density functional theory with a focus on the density matrix based numerical algorithms, and Chapter 3 introduces linear response theory, which provides a unified viewpoint of several important phenomena in physics and numerics. An understanding of these topics will prepare readers for more advanced topics in this field. The book concludes with the random phase approximation to the correlation energy." [Publisher]
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This 3-volume set, CCIS 2058-2060 constitutes the First International Conference, on Artificial Intelligence, IAIC 2023, held in Nanjing, China, in November 2023. The 85 full papers presented were carefully reviewed and selected from 428 submissions. The papers are clustered in parts on: Artificial Intelligence and Machine Learning; Data Security and information Security; Computer Networks and IoT. The papers present recent research and developments in artificial intelligence and its applications in machine learning, natural language processing, computer vision, robotics, and ethical considerations.
Artificial intelligence. --- Application software. --- Computer networks. --- Telecommunication. --- Machine learning. --- Artificial Intelligence. --- Computer and Information Systems Applications. --- Computer Communication Networks. --- Communications Engineering, Networks. --- Machine Learning. --- Artificial intelligence --- Computer security
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This 3-volume set, CCIS 2058-2060 constitutes the First International Conference, on Artificial Intelligence, IAIC 2023, held in Nanjing, China, in November 2023. The 85 full papers presented were carefully reviewed and selected from 428 submissions. The papers are clustered in parts on: Artificial Intelligence and Machine Learning; Data Security and information Security; Computer Networks and IoT. The papers present recent research and developments in artificial intelligence and its applications in machine learning, natural language processing, computer vision, robotics, and ethical considerations.
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This 3-volume set, CCIS 2058-2060 constitutes the First International Conference, on Artificial Intelligence, IAIC 2023, held in Nanjing, China, in November 2023. The 85 full papers presented were carefully reviewed and selected from 428 submissions. The papers are clustered in parts on: Artificial Intelligence and Machine Learning; Data Security and information Security; Computer Networks and IoT. The papers present recent research and developments in artificial intelligence and its applications in machine learning, natural language processing, computer vision, robotics, and ethical considerations.
Artificial intelligence. --- Data protection. --- Application software. --- Computer networks. --- Machine learning. --- Artificial Intelligence. --- Data and Information Security. --- Computer and Information Systems Applications. --- Computer Communication Networks. --- Machine Learning. --- Artificial intelligence --- Computer networks
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