Generalized Fibonacci Sequences In Groupoids
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Generalized Fibonacci Sequences In Groupoids
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Author : Hee Sik Kim
language : en
Publisher: Infinite Study
Release Date :
Generalized Fibonacci Sequences In Groupoids written by Hee Sik Kim and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents.
Generalized Fibonacci Sequences In Groupoids
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Author : Hee Sik Kim
language : en
Publisher: Infinite Study
Release Date :
Generalized Fibonacci Sequences In Groupoids written by Hee Sik Kim and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents. Using the notion of Smarandache-type P-algebra, we obtain several relations on groupoids which are derived from generalized Fibonacci sequences.
Changes And Innovations In Social Systems
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Author : Sarka Hoskova-Mayerova
language : en
Publisher: Springer Nature
Release Date : 2025-05-13
Changes And Innovations In Social Systems written by Sarka Hoskova-Mayerova and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-13 with Technology & Engineering categories.
This book presents challenges and innovations in social problems over the centuries. By their nature, human beings are innovative and continuously adapted to appeared changes over the time. From this point of view, human history can be considered as the story of all changes and innovations which have drastically influenced our way of life. Changes and innovations are normal things in the way of adaptation and are necessary conditions for survival along the time. Changes and innovations are hard and long-term processes. Any progress in history is the result of changes and innovations. To innovate, changes are required: in the culture, in the education, in the way of working, in the way of think, etc. In the same time, innovations imply changes, and changes usually generate reactions. Innovations are always oriented to the future and, in turn, imply changes. From here, the race of evolution was born. Changes require effort, generate resistance but, in the same time, increase performance in almost all domains, and increase vision and leadership; therefore, the progress is obtained. To grew up as a field and provide changes, innovations need to present its theoretical foundations which make sense of the domains on which they are applied. To emphasize the above aspects, the proposed book presents some aspects regarding, but not only limited, to: computer science (new theoretical and practical applications); mathematics (mathematical models, all mathematical results which can improve or are inspired from another known results, some aspects regarding history of mathematics, etc.); education, etc. The chapters of the book present the state of arts of the chosen subjects, from its beginning, its developments, and its applications, by emphasizing the connection with the application or model that the authors have chosen for the presentation.
Algorithms As A Basis Of Modern Applied Mathematics
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Author : Šárka Hošková-Mayerová
language : en
Publisher: Springer Nature
Release Date : 2021-01-13
Algorithms As A Basis Of Modern Applied Mathematics written by Šárka Hošková-Mayerová and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-13 with Technology & Engineering categories.
This book offers a self-contained guide to advanced algorithms and their applications in various fields of science. Gathering contributions by authoritative researchers in the field of mathematics, statistics and computer science, it aims at offering a comprehensive and up-to-date view of algorithms, including the theory behind them, as well as practical considerations, current limitations and solutions. It covers applications in energy management, decision making, computer networks, materials science, mechanics and process optimization. It offers an integrated and timely guide to important algorithms, and represents a valuable reference resource for graduate students and researchers in various fields of applied mathematics, statistics and engineering.
The Fibonacci Quarterly
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Author :
language : en
Publisher:
Release Date : 1983
The Fibonacci Quarterly written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Fibonacci numbers categories.
The Golden Ratio And Fibonacci Numbers
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Author : R. A. Dunlap
language : en
Publisher: World Scientific
Release Date : 1997
The Golden Ratio And Fibonacci Numbers written by R. A. Dunlap and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences. Contents: Basic Properties of the Golden Ratio; Geometric Problems in Two Dimensions; Geometric Problems in Three Dimensions; Fibonacci Numbers; Lucas Numbers and Generalized Fibonacci Numbers; Continued Fractions and Rational Approximants; Generalized Fibonacci Representation Theorems; Optimal Spacing and Search Algorithms; Commensurate and Incommensurate Projections; Penrose Tilings; Quasicrystallography; Biological Applications; Construction of the Regular Pentagon; The First 100 Fibonacci and Lucas Numbers; Relationships Involving the Golden Ratio and Generalized Fibonacci Numbers. Readership: Applied mathematicians.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2008
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
A Handbook Of Integer Sequences
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Author : N.J.A. Sloane
language : en
Publisher: Academic Press
Release Date : 2014-05-10
A Handbook Of Integer Sequences written by N.J.A. Sloane and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
A Handbook of Integer Sequences contains a main table of 2300 sequences of integers that are collected from all branches of mathematics and science. This handbook describes how to use the main table and provides methods for analyzing and describing unknown and important sequences. This compilation also serves as an index to the literature for locating references on a particular problem and quickly finds numbers such as 712, number of partitions of 30, 18th Catalan number, or expansion of ? to 60 decimal places. Other topics include the method of differences, self-generating sequences, polyominoes, permutations, and puzzle sequences. This publication is a good source for students and researchers who are confronted with strange and important sequences.
Groups And Topological Dynamics
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Author : Volodymyr Nekrashevych
language : en
Publisher: American Mathematical Society
Release Date : 2022-10-07
Groups And Topological Dynamics written by Volodymyr Nekrashevych and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-07 with Mathematics categories.
This book is devoted to group-theoretic aspects of topological dynamics such as studying groups using their actions on topological spaces, using group theory to study symbolic dynamics, and other connections between group theory and dynamical systems. One of the main applications of this approach to group theory is the study of asymptotic properties of groups such as growth and amenability. The book presents recently developed techniques of studying groups of dynamical origin using the structure of their orbits and associated groupoids of germs, applications of the iterated monodromy groups to hyperbolic dynamical systems, topological full groups and their properties, amenable groups, groups of intermediate growth, and other topics. The book is suitable for graduate students and researchers interested in group theory, transformations defined by automata, topological and holomorphic dynamics, and theory of topological groupoids. Each chapter is supplemented by exercises of various levels of complexity.
Probability Theory Subject Indexes From Mathematical Reviews
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1987
Probability Theory Subject Indexes From Mathematical Reviews written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.