The $q,t$-Catalan Numbers and the Space of Diagonal Harmonics

The $q,t$-Catalan Numbers and the Space of Diagonal Harmonics PDF Author: James Haglund
Publisher: American Mathematical Soc.
ISBN: 0821844113
Category : Mathematics
Languages : en
Pages : 178

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Book Description
This work contains detailed descriptions of developments in the combinatorics of the space of diagonal harmonics, a topic at the forefront of current research in algebraic combinatorics. These developments have led in turn to some surprising discoveries in the combinatorics of Macdonald polynomials.

Graph Polynomials

Graph Polynomials PDF Author: Yongtang Shi
Publisher: CRC Press
ISBN: 1315350963
Category : Mathematics
Languages : en
Pages : 207

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Book Description
This book covers both theoretical and practical results for graph polynomials. Graph polynomials have been developed for measuring combinatorial graph invariants and for characterizing graphs. Various problems in pure and applied graph theory or discrete mathematics can be treated and solved efficiently by using graph polynomials. Graph polynomials have been proven useful areas such as discrete mathematics, engineering, information sciences, mathematical chemistry and related disciplines.

Handbook of Enumerative Combinatorics

Handbook of Enumerative Combinatorics PDF Author: Miklos Bona
Publisher: CRC Press
ISBN: 1482220865
Category : Mathematics
Languages : en
Pages : 1073

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Book Description
Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today's most prominent researchers. The contributors survey the methods of combinatorial enumeration along with the most frequent applications of these methods.This important new work is edited by Miklos Bona of the University of Florida where he

CRC Standard Mathematical Tables and Formulae, 32nd Edition

CRC Standard Mathematical Tables and Formulae, 32nd Edition PDF Author: Daniel Zwillinger
Publisher: CRC Press
ISBN: 1439835500
Category : Mathematics
Languages : en
Pages : 792

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Book Description
With over 6,000 entries, CRC Standard Mathematical Tables and Formulae, 32nd Edition continues to provide essential formulas, tables, figures, and descriptions, including many diagrams, group tables, and integrals not available online. This new edition incorporates important topics that are unfamiliar to some readers, such as visual proofs and sequences, and illustrates how mathematical information is interpreted. Material is presented in a multisectional format, with each section containing a valuable collection of fundamental tabular and expository reference material. New to the 32nd Edition A new chapter on Mathematical Formulae from the Sciences that contains the most important formulae from a variety of fields, including acoustics, astrophysics, epidemiology, finance, statistical mechanics, and thermodynamics New material on contingency tables, estimators, process capability, runs test, and sample sizes New material on cellular automata, knot theory, music, quaternions, and rational trigonometry Updated and more streamlined tables Retaining the successful format of previous editions, this comprehensive handbook remains an invaluable reference for professionals and students in mathematical and scientific fields.

Algebraic Combinatorics and Coinvariant Spaces

Algebraic Combinatorics and Coinvariant Spaces PDF Author: Francois Bergeron
Publisher: CRC Press
ISBN: 1439865078
Category : Mathematics
Languages : en
Pages : 227

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Book Description
Written for graduate students in mathematics or non-specialist mathematicians who wish to learn the basics about some of the most important current research in the field, this book provides an intensive, yet accessible, introduction to the subject of algebraic combinatorics. After recalling basic notions of combinatorics, representation theory, and

Linguistics For Dummies

Linguistics For Dummies PDF Author: Rose-Marie Dechaine
Publisher: John Wiley & Sons
ISBN: 1118101596
Category : Language Arts & Disciplines
Languages : en
Pages : 387

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Book Description
The fascinating, fun, and friendly way to understand the science behind human language Linguistics is the scientific study of human language. Linguistics students study how languages are constructed, how they function, how they affect society, and how humans learn language. From understanding other languages to teaching computers to communicate, linguistics plays a vital role in society. Linguistics For Dummies tracks to a typical college-level introductory linguistics course and arms you with the confidence, knowledge, and know-how to score your highest. Understand the science behind human language Grasp how language is constructed Score your highest in college-level linguistics If you're enrolled in an introductory linguistics course or simply have a love of human language, Linguistics For Dummies is your one-stop resource for unlocking the science of the spoken word.

Solved and Unsolved Problems in Number Theory

Solved and Unsolved Problems in Number Theory PDF Author: Daniel Shanks
Publisher: American Mathematical Society
ISBN: 1470476452
Category : Mathematics
Languages : en
Pages : 321

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Book Description
The investigation of three problems, perfect numbers, periodic decimals, and Pythagorean numbers, has given rise to much of elementary number theory. In this book, Daniel Shanks, past editor of Mathematics of Computation, shows how each result leads to further results and conjectures. The outcome is a most exciting and unusual treatment. This edition contains a new chapter presenting research done between 1962 and 1978, emphasizing results that were achieved with the help of computers.

An Introduction to Symmetric Functions and Their Combinatorics

An Introduction to Symmetric Functions and Their Combinatorics PDF Author: Eric S. Egge
Publisher: American Mathematical Soc.
ISBN: 1470448998
Category : Education
Languages : en
Pages : 359

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Book Description
This book is a reader-friendly introduction to the theory of symmetric functions, and it includes fundamental topics such as the monomial, elementary, homogeneous, and Schur function bases; the skew Schur functions; the Jacobi–Trudi identities; the involution ω ω; the Hall inner product; Cauchy's formula; the RSK correspondence and how to implement it with both insertion and growth diagrams; the Pieri rules; the Murnaghan–Nakayama rule; Knuth equivalence; jeu de taquin; and the Littlewood–Richardson rule. The book also includes glimpses of recent developments and active areas of research, including Grothendieck polynomials, dual stable Grothendieck polynomials, Stanley's chromatic symmetric function, and Stanley's chromatic tree conjecture. Written in a conversational style, the book contains many motivating and illustrative examples. Whenever possible it takes a combinatorial approach, using bijections, involutions, and combinatorial ideas to prove algebraic results. The prerequisites for this book are minimal—familiarity with linear algebra, partitions, and generating functions is all one needs to get started. This makes the book accessible to a wide array of undergraduates interested in combinatorics.

The Art of Modeling Mechanical Systems

The Art of Modeling Mechanical Systems PDF Author: Friedrich Pfeiffer
Publisher: Springer
ISBN: 3319402560
Category : Technology & Engineering
Languages : en
Pages : 392

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Book Description
The papers in this volume present rules for mechanical models in a general systematic way, always in combination with small and large examples, many from industry, illustrating the most important features of modeling. The best way to reach a good solution is discussed. The papers address researchers and engineers from academia and from industry, doctoral students and postdocs, working in the fields of mechanical, civil and electrical engineering as well as in fields like applied physics or applied mathematics.

Advances in Power Systems and Energy Management

Advances in Power Systems and Energy Management PDF Author: Neeraj Priyadarshi
Publisher: Springer Nature
ISBN: 9811575045
Category : Technology & Engineering
Languages : en
Pages : 671

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Book Description
This book comprises select proceedings of the international conference ETAEERE 2020, and focuses on contemporary issues in energy management and energy efficiency in the context of power systems. The contents cover modeling, simulation and optimization based studies on topics like medium voltage BTB system, cost optimization of a ring frame unit in textile industry, rectenna for RF energy harvesting, ecology and energy dimension in infrastructural designs, study of AGC in two area hydro thermal power system, energy-efficient and reliable depth-based routing protocol for underwater wireless sensor network, and power line communication. This book can be beneficial for students, researchers as well as industry professionals.