Part I: The Neural Foundations -- From Classical Connectionist Models to Probabilistic / Generalised Regression Neural Networks (PNNs / GRNNs) -- The Kernel Memory Concept – A Paradigm Shift from Conventional Connectionism -- The Self-Organising Kernel Memory (SOKM) -- Part II: Artificial Mind Systems -- The Artificial Mind System (AMS), Modules, and their Interactions -- Sensation and Percep…
to Fuzzy Arithmetic -- The Theory of Fuzzy Sets -- Elementary Fuzzy Arithmetic -- Standard Fuzzy Arithmetic -- Advanced Fuzzy Arithmetic — The Transformation Method -- Addition to Fuzzy Arithmetic -- Applications in the Engineering Sciences -- Mechanical Engineering -- Geotechnical Engineering -- Biomedical Engineering -- Control Engineering.Applied Fuzzy Arithmetic provides a well-structured…
Fundamentals -- Overview of Meshfree Methods -- Meshfree Shape Function Construction -- Meshfree Methods Based on Global Weak-Forms -- Meshfree Methods Based on Local Weak-Forms -- Meshfree Collocation Methods -- Meshfree Methods Based on Combination of Local Weak-Form and Collocation.This book aims to present meshfree methods in a friendly and straightforward manner, so that beginners can very…
Three-Dimensional Differential Geometry -- Differential Geometry of Surfaces -- Applications to Three-Dimensional Elasticity in Curvilinear Coordinates -- Applications to Shell Theory.curvilinear coordinates. This treatment includes in particular a direct proof of the three-dimensional Korn inequality in curvilinear coordinates. The fourth and last chapter, which heavily relies on Chapter 2, be…
Preface -- Governing equations -- Preliminaries -- Time-marching problems -- The diffusion problem -- The advection problem -- The Shallow-water approximation -- Open boundary conditions -- general vertical coordinates -- Two-dimensional problems -- Advanced topics -- Appendix: Introduction to Fortran via examples.This textbook introduces step by step the basic numerical methods to solve the eq…
Seismic Interpretation -- to Seismic Texture -- Atlas of 3D Seismic Attributes -- The Use of Structure Tensors in the Analysis of Seismic Data -- Automated Structural Interpretation Through Classification of Seismic Horizons -- Automatic Fault Extraction Using Artificial Ants -- Geological Model Building -- Geological Modelling and Reservoir Simulation -- Geological Model Building: A Hierarchic…
Cultura matematica, formazione e media -- La preparazione matematica delle matricole nelle università europee: risultati di un test -- Metodi statistici per la misurazione delle competenze: analisi della preparazione matematica delle matricole -- Matematica e media: strumenti, aspettative, risultati -- I problemi della matematica nel Regno Unito -- Metamorph da Escher all’architettura virtua…
Setting the Stage -- Linear Algebra over the Complex Numbers -- Complex Scalar Product Spaces (a.k.a. Hilbert Spaces) -- Lie Groups and Lie Group Representations -- New Representations from Old -- Irreducible Representations and Invariant Integration -- Representations and the Hydrogen Atom -- The Algebra so(4) Symmetry of the Hydrogen Atom -- The Group SO(4) Symmetry of the Hydrogen Atom -- Pr…
Plane Algebraic Curves -- Ane Algebraic Curves -- Projective Algebraic Curves -- The Coordinate Ring of an Algebraic Curve and the Intersections of Two Curves -- Rational Functions on Algebraic Curves -- Intersection Multiplicity and Intersection Cycle of Two Curves -- Regular and Singular Points of Algebraic Curves. Tangents -- More on Intersection Theory. Applications -- Rational Maps. Parame…
The Theory of Stochastic Processes -- Fundamentals of Probability -- Stochastic Processes -- The Itô Integral -- Stochastic Differential Equations -- The Applications of Stochastic Processes -- Applications to Finance and Insurance -- Applications to Biology and Medicine.This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic proces…