الصفحة 13
الصفحة 13
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Computational Noncommutative Algebra and Applications

The fusion of algebra, analysis and geometry, and their application to real world problems, have been dominant themes underlying mathematics for over the years. This book features topics such as: signal and image processing in remote sensing, computer vision, medical image processing, biological signal processing, geometric algebras, and more.

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Computational methods in systems biology ; 18th International Conference, CMSB 2020, Konstanz, Germany, September 23–25, 2020, Proceedings

This book constitutes the refereed proceedings of the 18th International Conference on Computational Methods in Systems Biology, CMSB 2020, held in Konstanz, Germany, in September 2020.* The 17 full papers and 5 tool papers were carefully reviewed and selected from 30 submissions. In addition 3 abstracts of invited talks and 2 tutorials have been included in this volume. Topics of interest include formalisms for modeling biological processes; models and their biological applications; frameworks for model verification, validation, analysis, and simulation of biological systems; high-performance computational systems biology and parallel implementations; model inference from experimental data; model integration from biological databases; multi-scale modeling and analysis methods; computational approaches for synthetic biology; and case studies in systems and synthetic biology.

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Computational Methods for Algebraic Spline Surfaces : ESF Exploratory Workshop

The papers included in this volume provide an overview about the state-of-the-art in approximative implicitization and various related topics, including both the theoretical basis and the existing computational techniques. The novel idea of approximate implicitization has strengthened the existing link between Computer Aided Geometric Design and classical algebraic geometry. There is a growing interest from researchers and professionals both in CAGD and Algebraic Geometry, to meet and combine knowledge and ideas, in order to better solve industrial--type challenges, as well as to initiate new directions for basic research. This volume will support this exchange of ideas between the various communities.

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Computational Commutative : Algebra 2

The main part of this book is a breathtaking passeggiata through the computational domains of graded rings and modules and their Hilbert functions. Besides Gröbner bases, we encounter Hilbert bases, border bases, SAGBI bases, and even SuperG bases. The tutorials traverse areas ranging from algebraic geometry and combinatorics to photogrammetry, magic squares, coding theory, statistics, and automatic theorem proving. Whereas in the first volume gardening and chess playing were not treated, in this volume they are. This is a book for learning, teaching, reading, and most of all, enjoying the topic at hand. The theories it describes can be applied to anything from children's toys to oil production. If you buy it, probably one spot on your desk will be lost forever!

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Combinatorics, Algorithms, Probabilistic and Experimental Methodologies ; 1st International Symposium, ESCAPE 2007, Hangzhou, China, April 7-9, 2007, Revised Selected Papers

This book address practical large data processing problems with different, and eventually converging, methodologies from major important disciplines such as computer science, combinatorics, and statistics. The symposium provides an interdisciplinary forum for researchers across their discipline boundaries to exchange their approaches, to search for ideas, methodologies, and tool boxes, to find better, faster and more accurate solutions thus fostering innovative ideas as well as to develop research agenda of common interest.

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Combinatorics of Coxeter Groups

Coxeter groups are of central importance in several areas of algebra, geometry, and combinatorics. This clear and rigorous exposition focuses on the combinatorial aspects of Coxeter groups, such as reduced expressions, partial order of group elements, enumeration, associated graphs and combinatorial cell complexes, and connections with combinatorial representation theory. While Coxeter groups have already been exposited from algebraic and geometric perspectives, this text is the first one to focus mainly on the combinatorial aspects of Coxeter groups. The first part of the book provides a self-contained introduction to combinatorial Coxeter group theory. The emphasis here is on the combinatorics of reduced decompositions, Bruhat order, weak order, and some aspects of root systems. The second part deals with more advanced topics, such as Kazhdan-Lusztig polynomials and representations, enumeration, and combinatorial descriptions of the classical finite and affine Weyl groups. A wide variety of exercises, ranging from easy to quite difficult are also included.

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Combinatorial pattern matching ; Vol.4009) ; 17th Annual Symposium, CPM 2006, Barcelona, Spain, July 5-7, 2006, Proceedings

The book presents 33 revised full papers together with 3 invited talks, organized in topical sections on data structures, indexing data structures, probabilistic and algebraic techniques, applications in molecular biology, string matching, data compression, and dynamic programming

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Combinatorial Image Analysis ; Vol.4040 : 11th International Workshop, IWCIA 2006, Berlin, Germany, June 19-21, 2006, Proceedings

Constitutes the refereed proceedings of the 11th International Workshop on Combinatorial Image Analysis, IWCIA 2006, held in Berlin, June 2006. The book presents 34 revised full papers together with two invited papers, covering topics including combinatorial image analysis; grammars and models for analysis and recognition of scenes and images; combinatorial topology and geometry for images; digital geometry of curves and surfaces; algebraic approaches to image processing, and more.

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Combinatorial image analysis ; 10th International Workshop, IWCIA 2004, Auckland, New Zealand, December 1-3, 2004, Proceedings

This volume presents the proceedings of the 10th International Workshop on Combinatorial Image Analysis,held 2004, in Auckland, New Zealand. For this workshop we received 86 submitted papers from 23 countries. We selected 55 papers for the conference. completed the program. Conference papers are presented in this volume under the following topical part titles: discrete tomography (3 papers), combinatorics and computational models (6), combinatorial algorithms (6), combinatorial mathematics (4), d- ital topology (7), digital geometry (7), approximation of digital sets by curves and surfaces (5), algebraic approaches (5), fuzzy image analysis (2), image s- mentation (6), and matching and recognition (7). These subjects are dealt with in the context of digital image analysis or computer vision.

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Combinatorial Commutative Algebra

Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics. This book provides a self-contained introduction to the subject, with an emphasis on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determinantal rings. The eighteen chapters cover a broad spectrum of topics, ranging from homological invariants of monomial ideals and their polyhedral resolutions, to hands-on tools for studying algebraic varieties with group actions, such as toric varieties, flag varieties, quiver loci, and Hilbert schemes. Over 100 figures, 250 exercises, and pointers to the literature make this book appealing to both graduate students and researchers.

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Combinatorial Algebraic Topology

Combinatorial algebraic topology is a fascinating and dynamic field at the crossroads of algebraic topology and discrete mathematics. This volume is the first comprehensive treatment of the subject in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology, including Stiefel-Whitney characteristic classes, which are needed for the later parts. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Our presentation of standard topics is quite different from that of existing texts. In addition, several new themes, such as spectral sequences, are included.

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Coding Theory and Applications ; 2nd International Castle Meeting, ICMCTA 2008, Castillo de la Mota, Medina del Campo, Spain, September 15-19, 2008. Proceedings

This book constitutes the refereed proceedings of the 2nd International Castle Meeting, ISMCTA 2008. The papers cover network coding, quantum codes, group codes, codes and combinatorial structures, agebraic-geometry codes, as well as codes and applications.

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Codes et turbocodes = Codes and turbo codes

Devoted to one of the essential functions of modern telecommunications systems: channel coding, or error-correcting coding. At the crossroads of information theory, mathematics, and electronics, channel coding has undergone numerous developments since the foundational work of Claude Shannon. Algebraic codes, convolutional codes, and concatenated codes decoded iteratively form the core of the book, which also includes a presentation of digital modulations, to which channel coding is closely linked, forming the heart of the physical layer of telecommunications systems. The most important theoretical aspects are presented, and the construction of the codes is detailed and justified. Decoding algorithms are developed and, where possible, accompanied by simulation results that demonstrate their error-correcting capabilities and applications.

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Mathematical Methods in Computer Science : Essays in Memory of Thomas Beth

This Festschrift volume contains the proceedings of the conference Mathematical Methods in Computer Science, MMICS 2008, which was held during December 17-19, 2008, in Karlsruhe, Germany, in memory of Thomas Beth.The themes of the conference reflected the many interests of Thomas Beth. Although, these interests might seem diverse, mathematical methods and especially algebra as a language constituted the common denominator of all of his scientific achievements.

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Mathematical Knowledge Management ; Vol. 4108 ; 5th International Conference, MKM 2006, Wokingham, UK, August 11-12, 2006, Proceedings

This book constitutes the refereed proceedings of the 5th International Conference on Mathematical Knowledge Management, MKM 2006, held in Wokingham, UK in August 2006 as official satellite event of the International Congress of Mathematicians, ICM 2006. The 22 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers in this volume cover the whole area of mathematical knowledge management in the intersection of mathematics, computer science, library science, and scientific publishing. The papers are organized in topical sections on proof representations, proof processing, knowledge extraction, knowledge representation, as well as systems and tools.

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Mathematical Knowledge Management ; Vol. 3863 ; 4th International Conference, MKM 2005, Bremen, Germany, July 15-17, 2005, Revised Selected Papers

This volume contains the proceedings of the Fourth International Conference on Mathematical Knowledge Management MKM 2005 held July 15–17, 2005 at - ternational University Bremen, Germany.

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Mathematical Foundation of Geodesy : Selected Papers of Torben Krarup

This volume contains selected papers by Torben Krarup, one of the most important geodesists of the 20th century. His writings are mathematically well founded and scientifically relevant. In this impressive collection of papers he demonstrates his rare innovative ability to present significant topics and concepts. Modern students of geodesy can learn a lot from his selection of mathematical tools for solving actual problems. The collection contains the famous booklet "A Contribution to the Mathematical Foundation of Physical Geodesy" from 1969, the unpublished "Molodenskij letters" from 1973, the final version of "Integrated Geodesy" from 1978, "Foundation of a Theory of Elasticity for Geodetic Networks" from 1974, as well as numerous trend setting papers on the theory of adjustment.

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Mathematical Formulas for Economists

The present collection of formulas has been composed for students of economics or management science at universities, colleges and trade schools. It contains basic knowledge in mathematics, financial mathematics and statistics in a compact and clearly arranged form. This volume is meant to be a reference work to be used by students of undergraduate courses together with a textbook and by researchers in need of exact statements of mathematical results. People dealing with practical or applied problems will also find this collection to be an efficient and easy-to-use work of reference.

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Mathematical Formulas for Economists

This collection of formulas constitutes a compendium of mathematics for eco­ nomics and business. It contains the most important formulas, statements and algorithms in this significant subfield of modern mathematics and addresses primarily students of economics or business at universities, colleges and trade schools. But people dealing with practical or applied problems will also find this collection to be an efiicient and easy-to-use work of reference. First the book treats mathematical symbols and constants, sets and state­ ments, number systems and their arithmetic as well as fundamentals of com­ binatorics. The chapter on sequences and series is followed by mathematics of finance, the representation of functions of one and several independent vari­ ables, their differential and integral calculus and by differential and difference equations. In each case special emphasis is placed on applications and models in economics. The chapter on linear algebra deals with matrices, vectors, determinants and systems of linear equations. This is followed by the representation of struc­ tures and algorithms of linear programming. Finally, the reader finds formu­ las on descriptive statistics (data analysis, ratios, inventory and time series analysis), on probability theory (events, probabilities, random variables and distributions) and on inductive statistics (point and interval estimates, tests). Some important tables complete the work.

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Mathematical Events of the Twentieth Century

Russian mathematics (later Soviet mathematics, and Russian mathematics once again) occupies a special place in twentieth-century mathematics. In addition to its well-known achievements, Russian mathematics established a unique style of research based on the existence of prominent mathematical schools. These schools were headed by recognized leaders, who became famous due to their talents and outstanding contributions to science. The present collection is intended primarily to gather in one book the t- timonies of the participants in the development of mathematics over the past century. In their articles the authors have expressed their own points of view on the events that took place. The editors have not felt that they had a right to make any changes, other than stylistic ones, or to add any of their own commentary to the text. Naturally, the points of view of the authors should not be construed as those of the editors. The list of mathematicians invited to participate in the present edition was quite long.

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