Harmony Of Gröbner Bases And The Modern Industrial Society

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Harmony of Gröbner Bases and the Modern Industrial Society

Takayuki Hibi
Harmony of Gr bner Bases and the Modern Industrial Society Book PDF

Author : Takayuki Hibi
Publisher : World Scientific
Page : 388 pages
File Size : 49,6 Mb
Release : 2012-03-21
Category : Mathematics
ISBN : 9789814452946

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Harmony of Gröbner Bases and the Modern Industrial Society by Takayuki Hibi Pdf

This volume consists of research papers and expository survey articles presented by the invited speakers of the conference on “Harmony of Gröbner Bases and the Modern Industrial Society”. Topics include computational commutative algebra, algebraic statistics, algorithms of D-modules and combinatorics. This volume also provides current trends on Gröbner bases and will stimulate further development of many research areas surrounding Gröbner bases. Contents:Multidegree for Bifiltered D-modules and Hypergeometric Systems (R Arcadias)Desingularization Algorithms: A Comparison from the Practical Point of View (R Blanco and A Frühbis-Krüger)Computing Localizations Iteratively (F J Castro-Jiménez and A Leykin)KNOPPIX/Math: A Live System for Mathematics (T Hamada and KNOPPIX/Math Committers)Running Markov Chain without Markov Basis (H Hara, S Aoki and A Takemura)Degree Bounds for a Minimal Markov Basis for the Three-state Toric Homogeneous Markov Chain Model (D Haws, A Martín del Campo and R Yoshida)First Steps toward the Geometry of Cophylogeny (P Huggins, M Owen and R Yoshida)Cones of Elementary Imsets and Supermodular Functions: A Review and Some New Results (T Kashimura, T Sei, A Takemura and K Tanaka)Non-vanishingness of Betti Numbers of Edge Ideals (K Kimura)Abstract Tubes Associated with Perturbed Polyhedra with Applications to Multidimensional Normal Probability Computations (S Kuriki, T Miwa and A J Hayter)An Algorithm of Computing Inhomogeneous Difference Equations for a Definite Sum (H Nakayama)Incomplete A-Hypergeometric Systems (K Nishiyama and N Takayama)Implementation of a Primary Decomposition Package (M Noro)On Computation of the Characteristic Polynomials of the Discriminantal Arrangements and the Arrangements Generated by Generic Points (Y Numata and A Takemura)A Dictionary of Gröbner Bases of Toric Ideals (H Ohsugi)Log-linear Model Estimation for Stratified Educational Data (T Otsu)Toric Statistical Models: Ising and Markov (G Pistone and M P Rogantin)Algebraic Reliability Based on Monomial Ideals: A Review (E Sáenz-de-Cabezón and H P Wynn)On Irreducibility of Algebroid Curves over the Complex Number Field (T Shibuta)Polyhedral Approach to Statistical Learning Graphical Models (M Studený, D Haws, R Hemmecke and S Lindner) Readership: Graduates and researchers in the field of Gröbner bases. Keywords:Gröbner Basis;Algebraic Statistics;D-Module;Computational Algebra;AlgorithmKey Features:Comprehensive treatment of Gröbner basesArticles by leading figures in the mathematics worldA guidebook for graduate studentsThe reader can see a panoramic view of Gröbner bases

Harmony of Gröbner Bases and the Modern Industrial Society

Takayuki Hibi
Harmony of Gr bner Bases and the Modern Industrial Society Book PDF

Author : Takayuki Hibi
Publisher : World Scientific
Page : 385 pages
File Size : 47,6 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814383455

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Harmony of Gröbner Bases and the Modern Industrial Society by Takayuki Hibi Pdf

This volume consists of research papers and expository survey articles presented by the invited speakers of the conference on "Harmony of Grobner Bases and the Modern Industrial Society." Topics include computational commutative algebra, algebraic statistics, algorithms of D-modules and combinatorics. This volume also provides current trends on Grobner bases and will stimulate further development of many research areas surrounding Gr bner bases. Contents: Polyhedral Approach to Statistical Learning Graphical Models; Implementation of a Primary Decomposition Package; Computing Tropical Resultants; Running Markov Chain Without Markov Basis; Incomplete A-Hypergeometric Systems; Degree Bounds for a Minimal Markov Basis for the Three-State Toric Homogeneous Markov Chain Model.

Statistics and Simulation

Jürgen Pilz,Dieter Rasch,Viatcheslav B. Melas,Karl Moder
Statistics and Simulation Book PDF

Author : Jürgen Pilz,Dieter Rasch,Viatcheslav B. Melas,Karl Moder
Publisher : Springer
Page : 417 pages
File Size : 52,9 Mb
Release : 2018-05-17
Category : Mathematics
ISBN : 9783319760353

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Statistics and Simulation by Jürgen Pilz,Dieter Rasch,Viatcheslav B. Melas,Karl Moder Pdf

This volume features original contributions and invited review articles on mathematical statistics, statistical simulation and experimental design. The selected peer-reviewed contributions originate from the 8th International Workshop on Simulation held in Vienna in 2015. The book is intended for mathematical statisticians, Ph.D. students and statisticians working in medicine, engineering, pharmacy, psychology, agriculture and other related fields. The International Workshops on Simulation are devoted to statistical techniques in stochastic simulation, data collection, design of scientific experiments and studies representing broad areas of interest. The first 6 workshops took place in St. Petersburg, Russia, in 1994 – 2009 and the 7th workshop was held in Rimini, Italy, in 2013.

Topics in Statistical Simulation

V.B. Melas,Stefania Mignani,Paola Monari,Luigi Salmaso
Topics in Statistical Simulation Book PDF

Author : V.B. Melas,Stefania Mignani,Paola Monari,Luigi Salmaso
Publisher : Springer
Page : 531 pages
File Size : 53,9 Mb
Release : 2014-12-05
Category : Mathematics
ISBN : 9781493921041

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Topics in Statistical Simulation by V.B. Melas,Stefania Mignani,Paola Monari,Luigi Salmaso Pdf

The Department of Statistical Sciences of the University of Bologna in collaboration with the Department of Management and Engineering of the University of Padova, the Department of Statistical Modelling of Saint Petersburg State University, and INFORMS Simulation Society sponsored the Seventh Workshop on Simulation. This international conference was devoted to statistical techniques in stochastic simulation, data collection, analysis of scientific experiments, and studies representing broad areas of interest. The previous workshops took place in St. Petersburg, Russia in 1994, 1996, 1998, 2001, 2005, and 2009. The Seventh Workshop took place in the Rimini Campus of the University of Bologna, which is in Rimini’s historical center.

Algebraic Statistics

Seth Sullivant
Algebraic Statistics Book PDF

Author : Seth Sullivant
Publisher : American Mathematical Soc.
Page : 490 pages
File Size : 55,9 Mb
Release : 2018-11-19
Category : Geometry, Algebraic
ISBN : 9781470435172

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Algebraic Statistics by Seth Sullivant Pdf

Algebraic statistics uses tools from algebraic geometry, commutative algebra, combinatorics, and their computational sides to address problems in statistics and its applications. The starting point for this connection is the observation that many statistical models are semialgebraic sets. The algebra/statistics connection is now over twenty years old, and this book presents the first broad introductory treatment of the subject. Along with background material in probability, algebra, and statistics, this book covers a range of topics in algebraic statistics including algebraic exponential families, likelihood inference, Fisher's exact test, bounds on entries of contingency tables, design of experiments, identifiability of hidden variable models, phylogenetic models, and model selection. With numerous examples, references, and over 150 exercises, this book is suitable for both classroom use and independent study.

Algebraic and Geometric Methods in Discrete Mathematics

Heather A. Harrington,Mohamed Omar,Matthew Wright
Algebraic and Geometric Methods in Discrete Mathematics Book PDF

Author : Heather A. Harrington,Mohamed Omar,Matthew Wright
Publisher : American Mathematical Soc.
Page : 277 pages
File Size : 54,8 Mb
Release : 2017-03-16
Category : Commutative algebra -- Computational aspects and applications -- Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)
ISBN : 9781470423216

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Algebraic and Geometric Methods in Discrete Mathematics by Heather A. Harrington,Mohamed Omar,Matthew Wright Pdf

This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Methods in Applied Discrete Mathematics, held on January 11, 2015, in San Antonio, Texas. The papers present connections between techniques from “pure” mathematics and various applications amenable to the analysis of discrete models, encompassing applications of combinatorics, topology, algebra, geometry, optimization, and representation theory. Papers not only present novel results, but also survey the current state of knowledge of important topics in applied discrete mathematics. Particular highlights include: a new computational framework, based on geometric combinatorics, for structure prediction from RNA sequences; a new method for approximating the optimal solution of a sum of squares problem; a survey of recent Helly-type geometric theorems; applications of representation theory to voting theory and game theory; a study of fixed points of tensors; and exponential random graph models from the perspective of algebraic statistics with applications to networks. This volume was written for those trained in areas such as algebra, topology, geometry, and combinatorics who are interested in tackling problems in fields such as biology, the social sciences, data analysis, and optimization. It may be useful not only for experts, but also for students who wish to gain an applied or interdisciplinary perspective.

Monomial Algebras

Rafael Villarreal
Monomial Algebras Book PDF

Author : Rafael Villarreal
Publisher : CRC Press
Page : 704 pages
File Size : 42,8 Mb
Release : 2018-10-08
Category : Mathematics
ISBN : 9781482234701

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Monomial Algebras by Rafael Villarreal Pdf

Monomial Algebras, Second Edition presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs, clutters, or hypergraphs. New to the Second Edition Four new chapters that focus on the algebraic properties of blowup algebras in combinatorial optimization problems of clutters and hypergraphs Two new chapters that explore the algebraic and combinatorial properties of the edge ideal of clutters and hypergraphs Full revisions of existing chapters to provide an up-to-date account of the subject Bringing together several areas of pure and applied mathematics, this book shows how monomial algebras are related to polyhedral geometry, combinatorial optimization, and combinatorics of hypergraphs. It directly links the algebraic properties of monomial algebras to combinatorial structures (such as simplicial complexes, posets, digraphs, graphs, and clutters) and linear optimization problems.

Women in Commutative Algebra

Claudia Miller,Janet Striuli,Emily E. Witt
Women in Commutative Algebra Book PDF

Author : Claudia Miller,Janet Striuli,Emily E. Witt
Publisher : Springer Nature
Page : 439 pages
File Size : 49,8 Mb
Release : 2022-03-18
Category : Mathematics
ISBN : 9783030919863

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Women in Commutative Algebra by Claudia Miller,Janet Striuli,Emily E. Witt Pdf

This volume features contributions from the Women in Commutative Algebra (WICA) workshop held at the Banff International Research Station (BIRS) from October 20-25, 2019, run by the Pacific Institute of Mathematical Sciences (PIMS). The purpose of this meeting was for groups of mathematicians to work on joint research projects in the mathematical field of Commutative Algebra and continue these projects together long-distance after its close. The chapters include both direct results and surveys, with contributions from research groups and individual authors. The WICA conference was the first of its kind in the large and vibrant area of Commutative Algebra, and this volume is intended to showcase its important results and to encourage further collaboration among marginalized practitioners in the field. It will be of interest to a wide range of researchers, from PhD students to senior experts.

ISCS 2014: Interdisciplinary Symposium on Complex Systems

Ali Sanayei,Otto E. Rössler,Ivan Zelinka
ISCS 2014 Interdisciplinary Symposium on Complex Systems Book PDF

Author : Ali Sanayei,Otto E. Rössler,Ivan Zelinka
Publisher : Springer
Page : 362 pages
File Size : 48,9 Mb
Release : 2014-08-28
Category : Technology & Engineering
ISBN : 9783319107592

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ISCS 2014: Interdisciplinary Symposium on Complex Systems by Ali Sanayei,Otto E. Rössler,Ivan Zelinka Pdf

The book you hold in your hands is the outcome of the “2014 Interdisciplinary Symposium on Complex Systems” held in the historical city of Florence. The book consists of 37 chapters from 4 areas of Physical Modeling of Complex Systems, Evolutionary Computations, Complex Biological Systems and Complex Networks. All 4 parts contain contributions that give interesting point of view on complexity in different areas in science and technology. The book starts with a comprehensive overview and classification of complexity problems entitled Physics in the world of ideas: Complexity as Energy” , followed by chapters about complexity measures and physical principles, its observation, modeling and its applications, to solving various problems including real-life applications. Further chapters contain recent research about evolution, randomness and complexity, as well as complexity in biological systems and complex networks. All selected papers represent innovative ideas, philosophical overviews and state-of-the-art discussions on aspects of complexity. The book will be useful as an instructional material for senior undergraduate and entry-level graduate students in computer science, physics, applied mathematics and engineering-type work in the area of complexity. The book will also be valuable as a resource of knowledge for practitioners who want to apply complexity to solve real-life problems in their own challenging applications.

Nutritional Care of the Patient with Gastrointestinal Disease

Alan L Buchman
Nutritional Care of the Patient with Gastrointestinal Disease Book PDF

Author : Alan L Buchman
Publisher : CRC Press
Page : 3428 pages
File Size : 44,8 Mb
Release : 2015-08-06
Category : Medical
ISBN : 9781138001237

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Nutritional Care of the Patient with Gastrointestinal Disease by Alan L Buchman Pdf

This evidence-based book serves as a clinical manual as well as a reference guide for the diagnosis and management of common nutritional issues in relation to gastrointestinal disease. Chapters cover nutrition assessment; macro- and micronutrient absorption; malabsorption; food allergies; prebiotics and dietary fiber; probiotics and intestinal microflora; nutrition and GI cancer; nutritional management of reflux; nutrition in IBS and IBD; nutrition in acute and chronic pancreatitis; enteral nutrition; parenteral nutrition; medical and endoscopic therapy of obesity; surgical therapy of obesity; pharmacologic nutrition, and nutritional counseling.

Monomial Ideals

Jürgen Herzog,Takayuki Hibi
Monomial Ideals Book PDF

Author : Jürgen Herzog,Takayuki Hibi
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 52,8 Mb
Release : 2010-09-28
Category : Mathematics
ISBN : 9780857291066

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Monomial Ideals by Jürgen Herzog,Takayuki Hibi Pdf

This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals. Providing a useful and quick introduction to areas of research spanning these fields, Monomial Ideals is split into three parts. Part I offers a quick introduction to the modern theory of Gröbner bases as well as the detailed study of generic initial ideals. Part II supplies Hilbert functions and resolutions and some of the combinatorics related to monomial ideals including the Kruskal—Katona theorem and algebraic aspects of Alexander duality. Part III discusses combinatorial applications of monomial ideals, providing a valuable overview of some of the central trends in algebraic combinatorics. Main subjects include edge ideals of finite graphs, powers of ideals, algebraic shifting theory and an introduction to discrete polymatroids. Theory is complemented by a number of examples and exercises throughout, bringing the reader to a deeper understanding of concepts explored within the text. Self-contained and concise, this book will appeal to a wide range of readers, including PhD students on advanced courses, experienced researchers, and combinatorialists and non-specialists with a basic knowledge of commutative algebra. Since their first meeting in 1985, Juergen Herzog (Universität Duisburg-Essen, Germany) and Takayuki Hibi (Osaka University, Japan), have worked together on a number of research projects, of which recent results are presented in this monograph.

Mathematical Concepts and Methods in Modern Biology

Raina Robeva,Terrell Hodge
Mathematical Concepts and Methods in Modern Biology Book PDF

Author : Raina Robeva,Terrell Hodge
Publisher : Academic Press
Page : 372 pages
File Size : 48,9 Mb
Release : 2013-02-26
Category : Mathematics
ISBN : 9780124157934

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Mathematical Concepts and Methods in Modern Biology by Raina Robeva,Terrell Hodge Pdf

Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology. Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modeling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software. Features self-contained chapters with real biological research examples using freely available computational tools Spans several mathematical techniques at basic to advanced levels Offers broad perspective on the uses of algebraic geometry/polynomial algebra in molecular systems biology

Chromatic Polynomials And Chromaticity Of Graphs

Fengming Dong,Khee-meng Koh,Kee L Teo
Chromatic Polynomials And Chromaticity Of Graphs Book PDF

Author : Fengming Dong,Khee-meng Koh,Kee L Teo
Publisher : World Scientific
Page : 386 pages
File Size : 42,5 Mb
Release : 2005-06-23
Category : Mathematics
ISBN : 9789814480468

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Chromatic Polynomials And Chromaticity Of Graphs by Fengming Dong,Khee-meng Koh,Kee L Teo Pdf

This is the first book to comprehensively cover chromatic polynomials of graphs. It includes most of the known results and unsolved problems in the area of chromatic polynomials. Dividing the book into three main parts, the authors take readers from the rudiments of chromatic polynomials to more complex topics: the chromatic equivalence classes of graphs and the zeros and inequalities of chromatic polynomials. The early material is well suited to a graduate level course while the latter parts will be an invaluable resource for postgraduate students and researchers in combinatorics and graph theory.

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

Sirakov Boyan,Souza Paulo Ney De,Viana Marcelo
Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes Book PDF

Author : Sirakov Boyan,Souza Paulo Ney De,Viana Marcelo
Publisher : World Scientific
Page : 5396 pages
File Size : 48,5 Mb
Release : 2019-02-27
Category : Mathematics
ISBN : 9789813272897

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Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) by Sirakov Boyan,Souza Paulo Ney De,Viana Marcelo Pdf

The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Mr Sraffa on Joint Production and Other Essays

Bertram Schefold
Mr Sraffa on Joint Production and Other Essays Book PDF

Author : Bertram Schefold
Publisher : Routledge
Page : 398 pages
File Size : 40,5 Mb
Release : 1989
Category : Prices
ISBN : 9781134998944

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Mr Sraffa on Joint Production and Other Essays by Bertram Schefold Pdf

Interest in the application of the classical theory of prices, in its significance for thecritique of economic theory, and in the special aspect of joint production hasdeveloped slowly but steadily since Sraffa's Production of Commodities by Means ofCommodities (henceforth to be abbreviated as PCMC) was published in 1960. The coreof this book (Part II) consists of my PhD thesis 'Mr Sraffa On Joint Production',which was written in 1969/70 when I was first a Visitor to the Faculty of Economics,then an Advanced Student at King's College, Cambridge. At that time, almostnobody had written about the.