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This is the second volume of the proceedings of the third European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners as well as papers by plenary and parallel speakers. The second volume collects articles by prize winners and speakers of the mini-symposia. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician.
Error-correcting codes have been incorporated in numerous working communication and memory systems. This book covers the mathematical aspects of the theory of block error-correcting codes together, in mutual reinforcement, with computational discussions, implementations and examples of all relevant concepts, functions and algorithms. This combined approach facilitates the reading and understanding of the subject. The digital companion of the book is a non-printable .pdf document with hyperlinks. The examples included in the book can be run with just a mouse click and modified and saved by users for their own purpose.
The central topics of this volume are enumerative geometry and intersection theory. The contributions are original (refereed) research papers.
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ANTONIO CAMPILLO LÓPEZ. ha dedicado su vida a las Ciencias Matemáticas, materia en la que se licenció en 1976 y se doctoró dos años después, para hacer un lustro más tarde su postdoctorado en Columbia y Harvard y convertirse en catedrático de Geometría y Topología de la Universidad de Sevilla, y de Álgebra en la de Valladolid, en la que también fue decano. Entre 2009 y 2015 fue nombrado presidente de la Real Sociedad Matemática Española (RSME), desde donde se reivindica una mayor presencia de esta ciencia en la vida cotidiana, toda vez, según sus propias palabras: "las matemáticas desarrollan el razonamiento lógico, la coherencia, la reflexión, la deducción, y preparan nuestra mente para el pensamiento, la abstracción y para tener una visión crítica".
The intention of this collection agrees with the purposes of the homonymous mini-symposium (MS) at ICIAM-2019, which were to overview the essentials of geometric calculus (GC) formalism, to report on state-of-the-art applications showcasing its advantages and to explore the bearing of GC in novel approaches to deep learning. The first three contributions, which correspond to lectures at the MS, offer perspectives on recent advances in the application GC in the areas of robotics, molecular geometry, and medical imaging. The next three, especially invited, hone the expressiveness of GC in orientation measurements under different metrics, the treatment of contact elements, and the investigation...
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