Exponential Groups

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Exponential Organizations

Author : Salim Ismail
Publisher : Diversion Books
ISBN 13 : 1626813582
Total Pages : 249 pages
Book Rating : 4.6/5 (268 download)

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Book Synopsis Exponential Organizations by : Salim Ismail

Download or read book Exponential Organizations written by Salim Ismail and published by Diversion Books. This book was released on 2014-10-14 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frost & Sullivan's 2014 Growth, Innovation, and Leadership Book of the Year "EXPONENTIAL ORGANIZATIONS should be required reading for anyone interested in the ways exponential technologies are reinventing best practices in business." —Ray Kurzweil, Director of Engineering at Google In business, performance is key. In performance, how you organize can be the key to growth. In the past five years, the business world has seen the birth of a new breed of company—the Exponential Organization—that has revolutionized how a company can accelerate its growth by using technology. An ExO can eliminate the incremental, linear way traditional companies get bigger, leveraging assets like community, big data, algorithms, and new technology into achieving performance benchmarks ten times better than its peers. Three luminaries of the business world—Salim Ismail, Yuri van Geest, and Mike Malone—have researched this phenomenon and documented ten characteristics of Exponential Organizations. Here, in EXPONENTIAL ORGANIZATIONS, they walk the reader through how any company, from a startup to a multi-national, can become an ExO, streamline its performance, and grow to the next level. "EXPONENTIAL ORGANIZATIONS is the most pivotal book in its class. Salim examines the future of organizations and offers readers his insights on the concept of Exponential Organizations, because he himself embodies the strategy, structure, culture, processes, and systems of this new breed of company." —John Hagel, The Center for the Edge Chosen by Benjamin Netanyahu, Prime Minister of Israel, to be one of Bloomberg's Best Books of 2015

Unitary Representation Theory of Exponential Lie Groups

Author : Horst Leptin
Publisher : Walter de Gruyter
ISBN 13 : 3110874237
Total Pages : 213 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Unitary Representation Theory of Exponential Lie Groups by : Horst Leptin

Download or read book Unitary Representation Theory of Exponential Lie Groups written by Horst Leptin and published by Walter de Gruyter. This book was released on 2011-06-01 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Exponential Groups

Author : Allen White
Publisher : Hendrickson Publishers
ISBN 13 : 1683070348
Total Pages : 268 pages
Book Rating : 4.6/5 (83 download)

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Book Synopsis Exponential Groups by : Allen White

Download or read book Exponential Groups written by Allen White and published by Hendrickson Publishers. This book was released on 2017-02-01 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brims with effective strategies for recruiting leaders, connecting members into groups, coaching groups for success, and giving people something to say yes to, even when they have rejected church-wide campaigns previously offered by their churches. Keys to effective, ongoing groups include leadership training, ongoing coaching, appropriate recordkeeping, as well as a sequence of aligned series rather than just a single occasional campaign. This book provides fundamentals that will insure ongoing success proven principles used effectively in hundreds of churches across North America. Readers of Exponential Groupswill learn how to connect their unconnected members into community, recruit the group leaders needed to connect and grow their congregation, coach group leaders for a sustainable group structure that will serve their church for years to come, understand how to maintain current discipleship strategies, and implement new strategies without alienating their members or derailing their current systems.

Lie Groups and Subsemigroups with Surjective Exponential Function

Author : Karl Heinrich Hofmann
Publisher : American Mathematical Soc.
ISBN 13 : 0821806416
Total Pages : 189 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lie Groups and Subsemigroups with Surjective Exponential Function by : Karl Heinrich Hofmann

Download or read book Lie Groups and Subsemigroups with Surjective Exponential Function written by Karl Heinrich Hofmann and published by American Mathematical Soc.. This book was released on 1997 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the structure theory of real Lie groups, there is still information lacking about the exponential function. Most notably, there are no general necessary and sufficient conditions for the exponential function to be surjective. It is surprising that for subsemigroups of Lie groups, the question of the surjectivity of the exponential function can be answered. Under nature reductions setting aside the "group part" of the problem, subsemigroups of Lie groups with surjective exponential function are completely classified and explicitly constructed in this memoir. There are fewer than one would think and the proofs are harder than one would expect, requiring some innovative twists. The main protagonists on the scene are SL(2, R) and its universal covering group, almost abelian solvable Lie groups (ie. vector groups extended by homotheties), and compact Lie groups. This text will also be of interest to those working in algebra and algebraic geometry.

Ordered Exponential Fields

Author : Salma Kuhlmann
Publisher : American Mathematical Soc.
ISBN 13 : 0821809431
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Ordered Exponential Fields by : Salma Kuhlmann

Download or read book Ordered Exponential Fields written by Salma Kuhlmann and published by American Mathematical Soc.. This book was released on 2000 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model theoretic algebra has witnessed remarkable progress in the last few years. It has found profound applications in other areas of mathematics, notably in algebraic geometry and in singularity theory. Since Wilkie's results on the o-minimality of the expansion of the reals by the exponential function, and most recently even by all Pfaffian functions, the study of o-minimal expansions of the reals has become a fascinating topic. The quest for analogies between the semi-algebraic case and the o-minimal case has set a direction to this research. Through the Artin-Schreier Theory of real closed fields, the structure of the non-archimedean models in the semi-algebraic case is well understood. For the o-minimal case, so far there has been no systematic study of the non-archimedean models. The goal of this monograph is to serve this purpose. The author presents a detailed description of the non-archimedean models of the elementary theory of certain o-minimal expansions of the reals in which the exponential function is definable. The example of exponential Hardy fields is worked out with particular emphasis. The basic tool is valuation theory, and a sufficient amount of background material on orderings and valuations is presented for the convenience of the reader.

Exponential Transformation

Author : Salim Ismail
Publisher : Diversion Books
ISBN 13 : 163576520X
Total Pages : 390 pages
Book Rating : 4.6/5 (357 download)

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Book Synopsis Exponential Transformation by : Salim Ismail

Download or read book Exponential Transformation written by Salim Ismail and published by Diversion Books. This book was released on 2018-10-30 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today’s top business challenge is adapting to accelerating technological change. We are in the early stages of the Fourth Industrial Revolution, characterized by the convergence of new exponentially advancing technologies that blur the lines between physical, digital and biological realms. The results are a complete uprooting of industries the world over as entire production, management, and governance systems are impacted. The best-selling book Exponential Organizations by Salim Ismail explained why we are seeing the emergence of a new kind of organization—the Exponential Organization—that thrives in the face of industry disruption and achieves its own exponential growth. Since the release of Exponential Organizations in 2014, Salim Ismail, Francisco Palao, and Michelle Lapierre have been working with leading organizations around the world (including Procter & Gamble, Unilever, Visa, Stanley Black & Decker and Hewlett Packard) to help them apply Exponential Organization principles to avoid being disrupted and to take the lead in disrupting their own and other industries. The result is a ten-week process called the ExO Sprint that speeds up transformation while blocking the natural immune system response that organizations must overcome in order to successfully transform themselves. Salim's first bestseller was focused on why Exponential Organizations exist today. Exponential Transformation is a detailed handbook for applying Exponential Organization principles, giving individuals and organizations a step-by-step approach to follow to become their own ExO.

Exponential Genus Problems in One-Relator Products of Groups

Author : Andrew James Duncan
Publisher : American Mathematical Soc.
ISBN 13 : 0821839454
Total Pages : 170 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Exponential Genus Problems in One-Relator Products of Groups by : Andrew James Duncan

Download or read book Exponential Genus Problems in One-Relator Products of Groups written by Andrew James Duncan and published by American Mathematical Soc.. This book was released on 2007 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exponential equations in free groups were studied initially by Lyndon and Schutzenberger and then by Comerford and Edmunds. Comerford and Edmunds showed that the problem of determining whether or not the class of quadratic exponential equations have solution is decidable, in finitely generated free groups. In this paper the author shows that for finite systems of quadratic exponential equations decidability passes, under certain hypotheses, from the factor groups to free products and one-relator products.

Harmonic Analysis on Exponential Solvable Lie Groups

Author : Hidenori Fujiwara
Publisher : Springer
ISBN 13 : 443155288X
Total Pages : 468 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Harmonic Analysis on Exponential Solvable Lie Groups by : Hidenori Fujiwara

Download or read book Harmonic Analysis on Exponential Solvable Lie Groups written by Hidenori Fujiwara and published by Springer. This book was released on 2014-12-05 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers. The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups. This method tells us that the unitary dual of these groups is realized as the space of their coadjoint orbits. This fact is established using the Mackey theory for induced representations, and that mechanism is explained first. One of the fundamental problems in the representation theory is the irreducible decomposition of induced or restricted representations. Therefore, these decompositions are studied in detail before proceeding to various related problems: the multiplicity formula, Plancherel formulas, intertwining operators, Frobenius reciprocity, and associated algebras of invariant differential operators. The main reasoning in the proof of the assertions made here is induction, and for this there are not many tools available. Thus a detailed analysis of the objects listed above is difficult even for exponential solvable Lie groups, and it is often assumed that G is nilpotent. To make the situation clearer and future development possible, many concrete examples are provided. Various topics presented in the nilpotent case still have to be studied for solvable Lie groups that are not nilpotent. They all present interesting and important but difficult problems, however, which should be addressed in the near future. Beyond the exponential case, holomorphically induced representations introduced by Auslander and Kostant are needed, and for that reason they are included in this book.

Diophantine Approximation on Linear Algebraic Groups

Author : Michel Waldschmidt
Publisher : Springer Science & Business Media
ISBN 13 : 3662115697
Total Pages : 649 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Diophantine Approximation on Linear Algebraic Groups by : Michel Waldschmidt

Download or read book Diophantine Approximation on Linear Algebraic Groups written by Michel Waldschmidt and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. Two chapters provide complete and simplified proofs of zero estimates (due to Philippon) on linear algebraic groups.

Stochastic Processes and Operator Calculus on Quantum Groups

Author : U. Franz
Publisher : Springer Science & Business Media
ISBN 13 : 9780792358831
Total Pages : 244 pages
Book Rating : 4.3/5 (588 download)

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Book Synopsis Stochastic Processes and Operator Calculus on Quantum Groups by : U. Franz

Download or read book Stochastic Processes and Operator Calculus on Quantum Groups written by U. Franz and published by Springer Science & Business Media. This book was released on 1999-07-31 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present several new developments on stochastic processes and operator calculus on quantum groups. Topics which are treated include operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations. Audience: This volume contains introductory material for graduate students who are new to the field, as well as more advanced material for specialists in probability theory, algebraic structures, representation theory, mathematical physics and theoretical physics.

Geometric Methods and Applications

Author : Jean Gallier
Publisher : Springer Science & Business Media
ISBN 13 : 1461301378
Total Pages : 584 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Geometric Methods and Applications by : Jean Gallier

Download or read book Geometric Methods and Applications written by Jean Gallier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book fills the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics that do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine, projective, computational, and Euclidean geometry, basics of differential geometry and Lie groups, and explores many of the practical applications of geometry. Some of these include computer vision, efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

Geometry of Defining Relations in Groups

Author : A.Yu. Ol'shanskii
Publisher : Springer Science & Business Media
ISBN 13 : 9401136181
Total Pages : 530 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Geometry of Defining Relations in Groups by : A.Yu. Ol'shanskii

Download or read book Geometry of Defining Relations in Groups written by A.Yu. Ol'shanskii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Ht moi - ..., si favait su comment en reveniT, One service mathematics hal rendered the je n'y serais point aile.' human race. It has put C.

Homotopy Methods in Topological Fixed and Periodic Points Theory

Author : Jerzy Jezierski
Publisher : Springer Science & Business Media
ISBN 13 : 9781402039300
Total Pages : 330 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Homotopy Methods in Topological Fixed and Periodic Points Theory by : Jerzy Jezierski

Download or read book Homotopy Methods in Topological Fixed and Periodic Points Theory written by Jerzy Jezierski and published by Springer Science & Business Media. This book was released on 2005-11-15 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of a ?xed point plays a crucial role in numerous branches of mat- maticsand its applications. Informationabout the existence of such pointsis often the crucial argument in solving a problem. In particular, topological methods of ?xed point theory have been an increasing focus of interest over the last century. These topological methods of ?xed point theory are divided, roughly speaking, into two types. The ?rst type includes such as the Banach Contraction Principle where the assumptions on the space can be very mild but a small change of the map can remove the ?xed point. The second type, on the other hand, such as the Brouwer and Lefschetz Fixed Point Theorems, give the existence of a ?xed point not only for a given map but also for any its deformations. This book is an exposition of a part of the topological ?xed and periodic point theory, of this second type, based on the notions of Lefschetz and Nielsen numbers. Since both notions are homotopyinvariants, the deformationis used as an essential method, and the assertions of theorems typically state the existence of ?xed or periodic points for every map of the whole homotopy class, we refer to them as homotopy methods of the topological ?xed and periodic point theory.

Integrable Hamiltonian Systems on Complex Lie Groups

Author : Velimir Jurdjevic
Publisher : American Mathematical Soc.
ISBN 13 : 0821837648
Total Pages : 150 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Integrable Hamiltonian Systems on Complex Lie Groups by : Velimir Jurdjevic

Download or read book Integrable Hamiltonian Systems on Complex Lie Groups written by Velimir Jurdjevic and published by American Mathematical Soc.. This book was released on 2005 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies the elastic problems on simply connected manifolds $M_n$ whose orthonormal frame bundle is a Lie group $G$. This title synthesizes ideas from optimal control theory, adapted to variational problems on the principal bundles of Riemannian spaces, and the symplectic geometry of the Lie algebra $\mathfrak{g}, $ of $G$

Differential Geometry, Lie Groups, and Symmetric Spaces

Author : Sigurdur Helgason
Publisher : American Mathematical Soc.
ISBN 13 : 0821828487
Total Pages : 682 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Differential Geometry, Lie Groups, and Symmetric Spaces by : Sigurdur Helgason

Download or read book Differential Geometry, Lie Groups, and Symmetric Spaces written by Sigurdur Helgason and published by American Mathematical Soc.. This book was released on 2001-06-12 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: A great book ... a necessary item in any mathematical library. --S. S. Chern, University of California A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics. --Barrett O'Neill, University of California This is obviously a very valuable and well thought-out book on an important subject. --Andre Weil, Institute for Advanced Study The study of homogeneous spaces provides excellent insights into both differential geometry and Lie groups. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting. For Lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces. For many years and for many mathematicians, Sigurdur Helgason's classic Differential Geometry, Lie Groups, and Symmetric Spaces has been--and continues to be--the standard source for this material. Helgason begins with a concise, self-contained introduction to differential geometry. Next is a careful treatment of the foundations of the theory of Lie groups, presented in a manner that since 1962 has served as a model to a number of subsequent authors. This sets the stage for the introduction and study of symmetric spaces, which form the central part of the book. The text concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over $\mathbb{C}$ and Cartan's classification of simple Lie algebras over $\mathbb{R}$, following a method of Victor Kac. The excellent exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All of the problems have either solutions or substantial hints, found at the back of the book. For this edition, the author has made corrections and added helpful notes and useful references. Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis.

Amenability

Author : Alan L. T. Paterson
Publisher : American Mathematical Soc.
ISBN 13 : 0821809857
Total Pages : 474 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Amenability by : Alan L. T. Paterson

Download or read book Amenability written by Alan L. T. Paterson and published by American Mathematical Soc.. This book was released on 1988 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of amenability has its roots in the work of Lebesgue at the turn of the century. In the 1940s, the subject began to shift from finitely additive measures to means. This shift is of fundamental importance, for it makes the substantial resources of functional analysis and abstract harmonic analysis available to the study of amenability. The ubiquity of amenability ideas and the depth of the mathematics involved points to the fundamental importance of the subject. This book presents a comprehensive and coherent account of amenability as it has been developed in the large and varied literature during this century. The book has a broad appeal, for it presents an account of the subject based on harmonic and functional analysis. In addition, the analytic techniques should be of considerable interest to analysts in all areas. In addition, the book contains applications of amenability to a number of areas: combinatorial group theory, semigroup theory, statistics, differential geometry, Lie groups, ergodic theory, cohomology, and operator algebras. The main objectives of the book are to provide an introduction to the subject as a whole and to go into many of its topics in some depth. The book begins with an informal, nontechnical account of amenability from its origins in the work of Lebesgue. The initial chapters establish the basic theory of amenability and provide a detailed treatment of invariant, finitely additive measures (i.e., invariant means) on locally compact groups. The author then discusses amenability for Lie groups, "almost invariant" properties of certain subsets of an amenable group, amenability and ergodic theorems, polynomial growth, and invariant mean cardinalities. Also included are detailed discussions of the two most important achievements in amenability in the 1980s: the solutions to von Neumann's conjecture and the Banach-Ruziewicz Problem. The main prerequisites for this book are a sound understanding of undergraduate-level mathematics and a knowledge of abstract harmonic analysis and functional analysis. The book is suitable for use in graduate courses, and the lists of problems in each chapter may be useful as student exercises.

Subgroup Growth

Author : Alexander Lubotzky
Publisher : Birkhäuser
ISBN 13 : 3034889658
Total Pages : 463 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Subgroup Growth by : Alexander Lubotzky

Download or read book Subgroup Growth written by Alexander Lubotzky and published by Birkhäuser. This book was released on 2012-12-06 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001. Subgroup growth studies the distribution of subgroups of finite index in a group as a function of the index. In the last two decades this topic has developed into one of the most active areas of research in infinite group theory; this book is a systematic and comprehensive account of the substantial theory which has emerged. As well as determining the range of possible 'growth types', for finitely generated groups in general and for groups in particular classes such as linear groups, a main focus of the book is on the tight connection between the subgroup growth of a group and its algebraic structure. A wide range of mathematical disciplines play a significant role in this work: as well as various aspects of infinite group theory, these include finite simple groups and permutation groups, profinite groups, arithmetic groups and Strong Approximation, algebraic and analytic number theory, probability, and p-adic model theory. Relevant aspects of such topics are explained in self-contained 'windows'.