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Author: Rawn Clark
Publisher:
ISBN: 9781470011741
Category :
Languages : en
Pages : 182
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Book Description
The ancient Kabbalists wrote of "permuting the Letters", a process of combining pairs of Hebrew Letters with vowel sounds and uttering them to generate mystical and magical effects. Franz Bardon, in his book The Key to the True Quabbalah, wrote of combining the utterance of letter sounds with the creative imagination of color and feeling, also to generate mystical and magical effects. In this book, I describe a different approach - permuting the Tree itself. This also combines the Letters but instead of speaking the Letters, the practitioner becomes the Letters and thus "utters" them with their whole being.The traditional techniques of permuting the Letters require decades of study as a prerequisite and in Judaic Kabbalah they are the sole purview of men. On the other hand, the technique of Permuting the Tree that I present here is non-exclusive and does not require any foreknowledge of Kabbalistic terminology, philosophy, etc. The only thing required is your creative imagination.I present to you in these pages the Tree of Life stripped of all its jargon and transformed into a truly useable tool, a map of the structure of Being that will easily lead you along a journey into Self.The message of the Tree of Life is that there is One Self and every thing that exists is an aspect of The One Self. Furthermore, the One Self exists equally within each of the infinite number of things that exist. It says that every thing is directly connected through the immanence of the One Self. It says that each thing can find the infinite by merely looking within its own self. And, it says that there is no need for an intermediary, no need to rely upon what someone else sees . . .
Author: Rawn Clark
Publisher:
ISBN: 9781470011741
Category :
Languages : en
Pages : 182
Get Book
Book Description
The ancient Kabbalists wrote of "permuting the Letters", a process of combining pairs of Hebrew Letters with vowel sounds and uttering them to generate mystical and magical effects. Franz Bardon, in his book The Key to the True Quabbalah, wrote of combining the utterance of letter sounds with the creative imagination of color and feeling, also to generate mystical and magical effects. In this book, I describe a different approach - permuting the Tree itself. This also combines the Letters but instead of speaking the Letters, the practitioner becomes the Letters and thus "utters" them with their whole being.The traditional techniques of permuting the Letters require decades of study as a prerequisite and in Judaic Kabbalah they are the sole purview of men. On the other hand, the technique of Permuting the Tree that I present here is non-exclusive and does not require any foreknowledge of Kabbalistic terminology, philosophy, etc. The only thing required is your creative imagination.I present to you in these pages the Tree of Life stripped of all its jargon and transformed into a truly useable tool, a map of the structure of Being that will easily lead you along a journey into Self.The message of the Tree of Life is that there is One Self and every thing that exists is an aspect of The One Self. Furthermore, the One Self exists equally within each of the infinite number of things that exist. It says that every thing is directly connected through the immanence of the One Self. It says that each thing can find the infinite by merely looking within its own self. And, it says that there is no need for an intermediary, no need to rely upon what someone else sees . . .
Author: Hosam M. Mahmoud
Publisher: John Wiley & Sons
ISBN: 9780471327103
Category : Mathematics
Languages : en
Pages : 420
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Book Description
In diesem Buch wurden Informationen zusammengetragen, die bislang nur Spezialisten zugänglich waren. Dem Autor ist es gelungen, aktuellste Forschungsergebnisse auf dem Gebiet des Sortierens so auszuwählen und aufzubereiten, daß auch Studenten und fachfremde Interessenten profitieren können. Nach einleitenden Bemerkungen werden sämtliche Standard-Sortieralgorithmen - klassische und moderne Ansätze - vorgestellt sowie in Worten und an Codebeispielen erläutert. (09/00)
Author: Sergey Kitaev
Publisher: Springer Science & Business Media
ISBN: 3642173330
Category : Computers
Languages : en
Pages : 494
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Book Description
There has been considerable interest recently in the subject of patterns in permutations and words, a new branch of combinatorics with its roots in the works of Rotem, Rogers, and Knuth in the 1970s. Consideration of the patterns in question has been extremely interesting from the combinatorial point of view, and it has proved to be a useful language in a variety of seemingly unrelated problems, including the theory of Kazhdan—Lusztig polynomials, singularities of Schubert varieties, interval orders, Chebyshev polynomials, models in statistical mechanics, and various sorting algorithms, including sorting stacks and sortable permutations. The author collects the main results in the field in this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology. The author collects the main results in the field in this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology.
Author: Vladimir A. Dobrushkin
Publisher: CRC Press
ISBN: 142006830X
Category : Computers
Languages : en
Pages : 824
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Book Description
Explores the Impact of the Analysis of Algorithms on Many Areas within and beyond Computer Science A flexible, interactive teaching format enhanced by a large selection of examples and exercises Developed from the author’s own graduate-level course, Methods in Algorithmic Analysis presents numerous theories, techniques, and methods used for analyzing algorithms. It exposes students to mathematical techniques and methods that are practical and relevant to theoretical aspects of computer science. After introducing basic mathematical and combinatorial methods, the text focuses on various aspects of probability, including finite sets, random variables, distributions, Bayes’ theorem, and Chebyshev inequality. It explores the role of recurrences in computer science, numerical analysis, engineering, and discrete mathematics applications. The author then describes the powerful tool of generating functions, which is demonstrated in enumeration problems, such as probabilistic algorithms, compositions and partitions of integers, and shuffling. He also discusses the symbolic method, the principle of inclusion and exclusion, and its applications. The book goes on to show how strings can be manipulated and counted, how the finite state machine and Markov chains can help solve probabilistic and combinatorial problems, how to derive asymptotic results, and how convergence and singularities play leading roles in deducing asymptotic information from generating functions. The final chapter presents the definitions and properties of the mathematical infrastructure needed to accommodate generating functions. Accompanied by more than 1,000 examples and exercises, this comprehensive, classroom-tested text develops students’ understanding of the mathematical methodology behind the analysis of algorithms. It emphasizes the important relation between continuous (classical) mathematics and discrete mathematics, which is the basis of computer science.
Author: Edward A. Bender
Publisher: Courier Corporation
ISBN: 0486151506
Category : Mathematics
Languages : en
Pages : 738
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Book Description
This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines a variety of applications relevant to computer science and mathematics, including induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises appear throughout the text, along with notes and references. The text concludes with solutions to odd-numbered exercises and to all appendix exercises.
Author: Philippe Flajolet
Publisher: Cambridge University Press
ISBN: 1139477161
Category : Mathematics
Languages : en
Pages : 825
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Book Description
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Author: Hamish Carr
Publisher: Springer Nature
ISBN: 3030430367
Category : Mathematics
Languages : en
Pages : 264
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Book Description
This collection of peer-reviewed workshop papers provides comprehensive coverage of cutting-edge research into topological approaches to data analysis and visualization. It encompasses the full range of new algorithms and insights, including fast homology computation, comparative analysis of simplification techniques, and key applications in materials and medical science. The book also addresses core research challenges such as the representation of large and complex datasets, and integrating numerical methods with robust combinatorial algorithms. In keeping with the focus of the TopoInVis 2017 Workshop, the contributions reflect the latest advances in finding experimental solutions to open problems in the sector. They provide an essential snapshot of state-of-the-art research, helping researchers to keep abreast of the latest developments and providing a basis for future work. Gathering papers by some of the world’s leading experts on topological techniques, the book represents a valuable contribution to a field of growing importance, with applications in disciplines ranging from engineering to medicine.
Author: Miklos Bona
Publisher: CRC Press
ISBN: 1135437106
Category : Mathematics
Languages : en
Pages : 400
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Book Description
WINNER of a CHOICE Outstanding Academic Title Award for 2006! As linear orders, as elements of the symmetric group, modeled by matrices, modeled by graphs...permutations are omnipresent in modern combinatorics. They are omnipresent but also multifaceted, and while several excellent books explore particular aspects of the subject, no one book has covered them all. Even the classic results are scattered in various resources. Combinatorics of Permutations offers the first comprehensive, up to date treatment of both enumerative and extremal combinatorics and looks at permutation as linear orders and as elements of the symmetric group. The author devotes two full chapters to the young but active area of pattern avoidance. He explores the quest for the Stanley-Wilf conjecture and includes the recent and spectacular Marcus-Tardos proof of this problem. He examines random permutations and Standard Young Tableaux and provides an overview of the very rich algebraic combinatorics of permutations. The final chapter takes an in-depth look at combinatorial sorting algorithms. The author's style is relaxed, entertaining, and clearly reflects his enthusiasm for the "serious fun" the subject holds. Filled with applications from a variety of fields and exercises that draw upon recent research results, this book serves equally well as a graduate-level text and a reference for combinatorics researchers.
Author: Ian Stewart
Publisher:
ISBN: 0465082378
Category : Mathematics
Languages : en
Pages : 306
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Book Description
Physics.
Author: Miklos Bona
Publisher: CRC Press
ISBN: 1439850518
Category : Computers
Languages : en
Pages : 478
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Book Description
A Unified Account of Permutations in Modern Combinatorics A 2006 CHOICE Outstanding Academic Title, the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. Providing more than enough material for a one-semester course, Combinatorics of Permutations, Second Edition continues to clearly show the usefulness of this subject for both students and researchers and is recommended for undergraduate libraries by the MAA. Expanded Chapters Much of the book has been significantly revised and extended. This edition includes a new section on alternating permutations and new material on multivariate applications of the exponential formula. It also discusses several important results in pattern avoidance as well as the concept of asymptotically normal distributions. New Chapter An entirely new chapter focuses on three sorting algorithms from molecular biology. This emerging area of combinatorics is known for its easily stated and extremely difficult problems, which sometimes can be solved using deep techniques from seemingly remote branches of mathematics. Additional Exercises and Problems All chapters in the second edition have more exercises and problems. Exercises are marked according to level of difficulty and many of the problems encompass results from the last eight years.
