Download Full eBooks in PDF
Facing Up To Arrangements Face Count Formulas For Partitions Of Space By Hyperplanes Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Facing Up To Arrangements Face Count Formulas For Partitions Of Space By Hyperplanes book. This book definitely worth reading, it is an incredibly well-written.
Author : Thomas Zaslavsky
Publisher : American Mathematical Soc.
Page : 102 pages
File Size : 45,5 Mb
Release : 1975
Category : Mathematics
ISBN : 9780821818541
Author : Jonathan Leech,Sören Illman
Publisher : Unknown
Page : 95 pages
File Size : 52,5 Mb
Release : 1975
Category : Group extensions (Mathematics)
ISBN : 0821818562
Author : American Mathematical Society,J. Peter May,Jonathan Leech,Leslie Cohn,Sören Illman,Thomas Zaslavsky
Publisher : Unknown
Page : 96 pages
File Size : 48,8 Mb
Release : 1975
Category : Automorphic forms
ISBN : 0821818546
Author : Marcelo Aguiar,Swapneel Mahajan
Publisher : American Mathematical Soc.
Page : 611 pages
File Size : 53,8 Mb
Release : 2017-11-22
Category : Algebraic spaces
ISBN : 9781470437114
This monograph studies the interplay between various algebraic, geometric and combinatorial aspects of real hyperplane arrangements. It provides a careful, organized and unified treatment of several recent developments in the field, and brings forth many new ideas and results. It has two parts, each divided into eight chapters, and five appendices with background material. Part I gives a detailed discussion on faces, flats, chambers, cones, gallery intervals, lunes and other geometric notions associated with arrangements. The Tits monoid plays a central role. Another important object is the category of lunes which generalizes the classical associative operad. Also discussed are the descent and lune identities, distance functions on chambers, and the combinatorics of the braid arrangement and related examples. Part II studies the structure and representation theory of the Tits algebra of an arrangement. It gives a detailed analysis of idempotents and Peirce decompositions, and connects them to the classical theory of Eulerian idempotents. It introduces the space of Lie elements of an arrangement which generalizes the classical Lie operad. This space is the last nonzero power of the radical of the Tits algebra. It is also the socle of the left ideal of chambers and of the right ideal of Zie elements. Zie elements generalize the classical Lie idempotents. They include Dynkin elements associated to generic half-spaces which generalize the classical Dynkin idempotent. Another important object is the lune-incidence algebra which marks the beginning of noncommutative Möbius theory. These ideas are also brought upon the study of the Solomon descent algebra. The monograph is written with clarity and in sufficient detail to make it accessible to graduate students. It can also serve as a useful reference to experts.
Author : Peter Orlik,Hiroaki Terao
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 54,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662027721
An arrangement of hyperplanes is a finite collection of codimension one affine subspaces in a finite dimensional vector space. Arrangements have emerged independently as important objects in various fields of mathematics such as combinatorics, braids, configuration spaces, representation theory, reflection groups, singularity theory, and in computer science and physics. This book is the first comprehensive study of the subject. It treats arrangements with methods from combinatorics, algebra, algebraic geometry, topology, and group actions. It emphasizes general techniques which illuminate the connections among the different aspects of the subject. Its main purpose is to lay the foundations of the theory. Consequently, it is essentially self-contained and proofs are provided. Nevertheless, there are several new results here. In particular, many theorems that were previously known only for central arrangements are proved here for the first time in completegenerality. The text provides the advanced graduate student entry into a vital and active area of research. The working mathematician will findthe book useful as a source of basic results of the theory, open problems, and a comprehensive bibliography of the subject.
Author : Christodoulos A. Floudas,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 4646 pages
File Size : 41,6 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780387747583
The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".
Author : Peter Orlik
Publisher : American Mathematical Soc.
Page : 122 pages
File Size : 42,7 Mb
Release : 1989
Category : Mathematics
ISBN : 0821889168
An arrangement of hyperplanes is a finite collection of codimension one subspaces in a finite-dimensional vector space. Arrangements occur in several branches of mathematics: combinatorics, braids, hypergeometric functions, reflection groups, singularities, and coding theory. This book, based on lectures presented by the author at the CBMS Regional Conference held at Northern Arizona University in June 1988, provides the first introduction to the study of the topology of the complement of an arrangement in a complex vector space. The author discusses basic combinatorial tools, as well as algebras associated to the arrangement, differential forms, the cohomology and the homotopy type of the complement, free arrangements, and reflection arrangements. With a particular emphasis on topological aspects, this book provides an excellent introduction to current activity in this area.
Author : Corrado De Concini,Claudio Procesi
Publisher : Springer Science & Business Media
Page : 381 pages
File Size : 43,6 Mb
Release : 2010-08-18
Category : Mathematics
ISBN : 9780387789637
Topics in Hyperplane Arrangements, Polytopes and Box-Splines brings together many areas of research that focus on methods to compute the number of integral points in suitable families or variable polytopes. The topics introduced expand upon differential and difference equations, approximation theory, cohomology, and module theory. This book, written by two distinguished authors, engages a broad audience by proving the a strong foudation. This book may be used in the classroom setting as well as a reference for researchers.
Author : Marcelo Aguiar,Swapneel Mahajan
Publisher : Cambridge University Press
Page : 853 pages
File Size : 46,9 Mb
Release : 2020-03-19
Category : Mathematics
ISBN : 9781108495806
The goal of this monograph is to develop Hopf theory in a new setting which features centrally a real hyperplane arrangement. The new theory is parallel to the classical theory of connected Hopf algebras, and relates to it when specialized to the braid arrangement. Joyal's theory of combinatorial species, ideas from Tits' theory of buildings, and Rota's work on incidence algebras inspire and find a common expression in this theory. The authors introduce notions of monoid, comonoid, bimonoid, and Lie monoid relative to a fixed hyperplane arrangement. They also construct universal bimonoids by using generalizations of the classical notions of shuffle and quasishuffle, and establish the Borel-Hopf, Poincar -Birkhoff-Witt, and Cartier-Milnor-Moore theorems in this setting. This monograph opens a vast new area of research. It will be of interest to students and researchers working in the areas of hyperplane arrangements, semigroup theory, Hopf algebras, algebraic Lie theory, operads, and category theory.
Author : Hélène Barcelo,Gizem Karaali,Rosa Orellana
Publisher : Springer
Page : 362 pages
File Size : 45,8 Mb
Release : 2019-01-21
Category : Mathematics
ISBN : 9783030051419
This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools. Featured authors include prominent women in the field known for their exceptional writing of deep mathematics in an accessible manner. Each article in this volume was reviewed independently by two referees. The volume is suitable for graduate students and researchers interested in algebraic combinatorics.
Author : Richard Randell,Institute for Mathematics and Its Applications
Publisher : American Mathematical Soc.
Page : 359 pages
File Size : 44,6 Mb
Release : 1989
Category : Mathematics
ISBN : 9780821850961
This volume contains the proceedings of the Institute for Mathematics and its Applications Participating Institutions Conference on Singularities, held at the University of Iowa in July 1986. The conference brought together an international group of researchers in algebraic and analytic singularity theory. This collection consists of research papers related to talks given at the conference. The field of singularities takes techniques from and gives results to many areas of mathematics, including algebraic and differential geometry and topology, complex analysis, Lie algebras and reflection groups, and combinatorics. All these areas are represented here with an emphasis on local algebraic, analytic and tangential properties, deformation and topology of singularities, and arrangements of hyperplanes.This volume will be of interest to current and prospective researchers in various aspects of singularity theory, as it provides an overview of the current state of singularity theory and details work in several subareas. Many of the articles provide a basis for further research, and a list of problems presented at the conference is included.
Author : Zhao Zhang,Wei Li,Ding-Zhu Du
Publisher : Springer Nature
Page : 652 pages
File Size : 42,5 Mb
Release : 2020-08-09
Category : Computers
ISBN : 9783030576028
This volume constitutes the proceedings of the 14th International Conference on Algorithmic Aspects in Information and Management, AAIM 2020, held in Jinhua, China in August 2020. The 39 full papers and 17 short papers presented were carefully reviewed and selected from 76 submissions. The papers deal with emerging important algorithmic problems with a focus on the fundamental background, theoretical technology development, and real-world applications associated with information and management analysis, modeling and data mining. Special considerations are given to algorithmic research that was motivated by real-world applications.
Author : Ionela Prodan,Florin Stoican,Sorin Olaru,Silviu-Iulian Niculescu
Publisher : Springer
Page : 107 pages
File Size : 40,7 Mb
Release : 2015-11-25
Category : Technology & Engineering
ISBN : 9783319269955
In this book, the authors propose efficient characterizations of the non-convex regions that appear in many control problems, such as those involving collision/obstacle avoidance and, in a broader sense, in the description of feasible sets for optimization-based control design involving contradictory objectives. The text deals with a large class of systems that require the solution of appropriate optimization problems over a feasible region, which is neither convex nor compact. The proposed approach uses the combinatorial notion of hyperplane arrangement, partitioning the space by a finite collection of hyperplanes, to describe non-convex regions efficiently. Mixed-integer programming techniques are then applied to propose acceptable formulations of the overall problem. Multiple constructions may arise from the same initial problem, and their complexity under various parameters - space dimension, number of binary variables, etc. - is also discussed. This book is a useful tool for academic researchers and graduate students interested in non-convex systems working in control engineering area, mobile robotics and/or optimal planning and decision-making.
Author : Peter Orlik,Volkmar Welker
Publisher : Springer Science & Business Media
Page : 182 pages
File Size : 45,8 Mb
Release : 2007-03-02
Category : Mathematics
ISBN : 9783540683759
Each year since 1996 the universities of Bergen, Oslo and Trondheim have organized summer schools in Nordfjordeid in various topics in algebra and related ?elds. Nordfjordeid is the birthplace of Sophus Lie, and is a village on the western coast of Norway situated among fjords and mountains, with sp- tacularscenerywhereveryougo. AssuchitisawelcomeplaceforbothNor- gian and international participants and lecturers. The theme for the summer school in 2003 was Algebraic Combinatorics. The organizing committee c- sisted of Gunnar Fløystad and Stein Arild Strømme (Bergen), Geir Ellingsrud and Kristian Ranestad (Oslo), and Alexej Rudakov and Sverre Smalø (Tro- heim). The summer school was partly ?nanced by NorFa-Nordisk Forsker- danningsakademi. With combinatorics reaching into and playing an important part of ever more areas in mathematics, in particular algebra, algebraic combinatorics was a timely theme. The ?st lecture series “Hyperplane arrangements” was given by Peter Orlik. He came as a refugee to Norway, eighteen years old, after the insurrection in Hungary in 1956. Despite now having lived more than four decades in the United States, he impressed us by speaking ?uent Norwegian without a trace of accent. The second lecture series “Discrete Morse theory and free resolutions” was given by Volkmar Welker. These two topics ori- nate back in the second half of the nineteenth century with simple problems on arrangements of lines in the plane and Hilberts syzygy theorem.
Author : Lanju Zhang,Ding-Geng (Din) Chen,Hongmei Jiang,Gang Li,Hui Quan
Publisher : Springer
Page : 339 pages
File Size : 40,8 Mb
Release : 2019-07-11
Category : Medical
ISBN : 9783030153106
This edited volume presents current research in biostatistics with emphasis on biopharmaceutical applications. Featuring contributions presented at the 2017 ICSA Applied Statistics Symposium held in Chicago, IL on June 25 to 28, 2017, this book explores timely topics that have a high potential impact on statistical methodology and future research in biostatistics and biopharmaceuticals. The theme of this conference was Statistics for a New Generation: Challenges and Opportunities, in recognition of the advent of a new generation of statisticians. The conference attracted statisticians working in academia, government, and industry; domestic and international statisticians. From the conference, the editors selected 28 high-quality presentations and invited the speakers to prepare full chapters for this book. These contributions are divided into four parts: Part I Biostatistical Methodology, Part II Statistical Genetics and Bioinformatics, Part III Regulatory Statistics, and Part IV Biopharmaceutical Research and Applications. Featuring contributions on topics such as statistics in genetics, bioinformatics, biostatistical methodology, and statistical computing, this book is beneficial to researchers, academics, practitioners and policy makers in biostatistics and biopharmaceuticals.