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Lattice theory extends into virtually every branch of mathematics, ranging from measure theory and convex geometry to probability theory and topology. A more recent development has been the rapid escalation of employing lattice theory for various applications outside the domain of pure mathematics. These applications range from electronic communication theory and gate array devices that implement Boolean logic to artificial intelligence and computer science in general. Introduction to Lattice Algebra: With Applications in AI, Pattern Recognition, Image Analysis, and Biomimetic Neural Networks lays emphasis on two subjects, the first being lattice algebra and the second the practical applicat...
Image algebra is a comprehensive, unifying theory of image transformations, image analysis, and image understanding. In 1996, the bestselling first edition of the Handbook of Computer Vision Algorithms in Image Algebra introduced engineers, scientists, and students to this powerful tool, its basic concepts, and its use in the concise representation
This eighteen-chapter book presents the latest applications of lattice theory in Computational Intelligence (CI). The book focuses on neural computation, mathematical morphology, machine learning, and (fuzzy) inference/logic. The book comes out of a special session held during the World Council for Curriculum and Instruction World Conference (WCCI 2006). The articles presented here demonstrate how lattice theory may suggest viable alternatives in practical clustering, classification, pattern analysis, and regression applications.
Advances in Imaging and Electron Physics merges two long-running serials--Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains. - Contributions from leading international scholars and industry experts - Discusses hot topic areas and presents current and future research trends - Invaluable reference and guide for physicists, engineers and mathematicians
The Schlieffen Plan was the name given after World War I to the theory behind the German invasion of France and Belgium on 4 August 1914. In 1905-1906 Field Marshal Alfred von Schlieffen, the Chief of the Imperial Army German General Staff from 1891-1906, had devised a deployment plan for a war-winning offensive, in a one-front war against the French Third Republic. After the war, the German official historians of the Reichsarchiv and other writers, described the plan as a blueprint for victory. Post-war writing by senior German officers and the Reichsarchiv historians managed to establish a commonly accepted narrative that it was Schlieffen’s successor Helmuth von Moltke the Younger’s f...
First of all, we want to congratulate two new research communities from M- ico and Brazil that have recently joined the Iberoamerican community and the International Association for Pattern Recognition. We believe that the series of congresses that started as the “Taller Iberoamericano de Reconocimiento de Patrones (TIARP)”, and later became the “Iberoamerican Congress on Pattern Recognition (CIARP)”, has contributed to these groupconsolidatione?orts. We hope that in the near future all the Iberoamerican countries will have their own groups and associations to promote our areas of interest; and that these congresses will serve as the forum for scienti?c research exchange, sharing of ...
Many computer scientists, engineers, applied mathematicians, and physicists use geometry theory and geometric computing methods in the design of perception-action systems, intelligent autonomous systems, and man-machine interfaces. This handbook brings together the most recent advances in the application of geometric computing for building such systems, with contributions from leading experts in the important fields of neuroscience, neural networks, image processing, pattern recognition, computer vision, uncertainty in geometric computations, conformal computational geometry, computer graphics and visualization, medical imagery, geometry and robotics, and reaching and motion planning. For th...
The book deals with the relationship between Friedrich Meinecke, who is often considered to be the leading German historian of the first half of the twentieth century, and several of his students who, after the Nazi seizure of power, were forced to emigrate because of their Jewish descent or their political views. The letters published here to Meinecke from Hans Rothfels, Dietrich Gerhard, Hajo Holborn, Felix Gilbert, Hans Rosenberg, and others show these scholars' deep respect for their old teacher, but also their growing distance from his historical interests and methods. In a period of struggle between democracy and Nazi dictatorship, the letters address the problems of emigration and remigration, German-Jewish and German-American identity, and historiography in both Germany and the United States.
This book presents some of the numerous applications of hyperstructures, especially those that were found and studied in the last fifteen years. There are applications to the following subjects: 1) geometry; 2) hypergraphs; 3) binary relations; 4) lattices; 5) fuzzy sets and rough sets; 6) automata; 7) cryptography; 8) median algebras, relation algebras; 9) combinatorics; 10) codes; 11) artificial intelligence; 12) probabilities. Audience: Graduate students and researchers.