integer-sequences

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Integer Sequences

Author : Masum Billal
ISBN : 9789811605703
Genre : Mathematics
File Size : 64. 43 MB
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This book discusses special properties of integer sequences from a unique point of view. It generalizes common, well-known properties and connects them with sequences such as divisible sequences, Lucas sequences, Lehmer sequences, periods of sequences, lifting properties, and so on. The book presents theories derived by using elementary means and includes results not usually found in common number theory books. Considering the impact and usefulness of these theorems, the book also aims at being valuable for Olympiad level problem solving as well as regular research. This book will be of interest to students, researchers and faculty members alike.

A Handbook Of Integer Sequences

Author : N.J.A. Sloane
ISBN : 9781483264677
Genre : Mathematics
File Size : 32. 81 MB
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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.

Computational Support For Discrete Mathematics

Author : Nathaniel Dean
ISBN : 0821870610
Genre : Mathematics
File Size : 72. 45 MB
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With recent technological advances in workstations, graphics, graphical user interfaces, and object oriented programming languages, a significant number of researchers are developing general-purpose software and integrated software systems for domains in discrete mathematics, including graph theory, combinatorics, combinatorial optimization, and sets. This software aims to provide effective computational tools for research, applications prototyping, and teaching. In March 1992, DIMACS sponsored a workshop on Computational Support for Discrete Mathematics in order to facilitate interactions between the researchers, developers, and educators who work in these areas. Containing refereed papers based on talks presented at the workshop, this volume documents current and past research in these areas and should provide impetus for new interactions.

Sequences

Author : H. Halberstam
ISBN : 9781461382270
Genre : Mathematics
File Size : 37. 28 MB
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THIS volume is concerned with a substantial branch of number theory of which no connected account appears to exist; we describe the general nature of the constituent topics in the introduction. Although some excellent surveys dealing with limited aspects of the subject under con sideration have been published, the literature as a whole is far from easy to study. This is due in part to the extent of the literature; it is necessary to thread one's way through a maze of results, a complicated structure of inter-relationships, and many conflicting notations. In addition, however, not all the original papers are free from obscurities, and consequently some of these papers are difficult (a few even exceed ingly difficult) to master. We try to give a readable and coherent account of the subject, con taining a cross-section of the more interesting results. We felt that it would have been neither practicable nor desirable to attempt a compre hensive account; we treat each aspect of the subject from some special point of view, and select results accordingly. Needless to say, this approach entails the omission of many interesting and important results (quite apart from defects in the selection due to errors of judgement on our part). Those results selected for inclusion are, however, proved in complete detail and without the assumption of any prior knowledge on the part of the reader.

Crc Concise Encyclopedia Of Mathematics

Author : Eric W. Weisstein
ISBN : 9781420035223
Genre : Mathematics
File Size : 56. 26 MB
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Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

A Handbook Of Integer Sequences

Author : Neil James Alexander Sloane
ISBN : MINN:31951000514108W
Genre : Numbers, Natural
File Size : 40. 59 MB
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C 14 Faqs

Author : Chandra Shekhar Kumar
ISBN : 9781500239879
Genre : Computers
File Size : 76. 54 MB
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This book contains selected questions related to C++14 with detailed solutions to all of these which will help the reader to hone her skills to solve a particular problem. Primary sources of this collection are: Advanced C++ FAQs: Volume 1 : Fundamentals Advanced C++ FAQs: Volume 2 : Generic Programming Advanced C++ FAQs: Volumes 1 & 2 This book is not an introduction to C++. It assumes that the reader is aware of the basics of C++98 and C++03 and wants to expand her horizon to latest and greatest in C++14(aka C++1y). The problems are marked on a scale of one(*)(simplest) to five stars(*****)(hardest). Forthcoming volumes will strengthen this particular approach spanning various areas of C++. variable templates Constexpr static data members of class templates constexpr function templates .... static data member template specialization of variable template default argument and specialization of variable template lambda and variable template variable templates variables vary auto variable templates valid specialization but error ? variable templates and lambda revisited Incremental improvement to integral constant is same musings auto variable template and generic lambda constexpr member functions and implicit const .... constexpr vs static vs uninitialized constexpr vs member function revisited deprecated attribute Member initializers and aggregate class .... Data Member initializers time duration literals ... Compile Time binary Literal Operator Square Literal Operator Type Transformation Aliases unique ptr vs make unique as function argument make unique as perfect forwarding guy make unique and new .... make unique and default initialization with T[] Extend make unique : Support list initialization T[] Extend make unique : Value Initialize T[] Extend make unique : T[N] allocate unique Compile-time integer sequences Simplified Creation of std::integer sequence std::index sequence Custom Sequence : Addition .... Custom Sequence : Split Extract from tuple convert std::array to std::tuple Piecewise construction of std::pair Compile Time Integer Sequence Simplified sfinae and represent type of function metafunction : check presence of type member std::common type and sfinae Contextual Conversion Single quotation mark as digit separator Binary Literals auto return type in function declaration return type deduction for function return type deduction for lambdas .... decltype(auto) return type deduction for function templates explicit instantiation and auto return type deduction and virtual deduce return type generalized lambda capture generic lambda and product vector generic lambda generic lambda definition conversion function of generic lambda generic lambda quiz Preventing Name Hijacking Find First Null Pointer in a Container Generic Operator Functors Exchange Utility Addressing Tuple By Type Quoted manipulators Null Iterator std::move is rvalue cast C++14 Compiler

Advances In Networks Security And Communications Reviews Vol 2

Author : Sergey Yurish
ISBN : 9788409145102
Genre : Technology & Engineering
File Size : 76. 80 MB
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Written by 31 contributors from academy and industry from 12 countries (Austria, Bulgaria, China, Croatia, Germany, India, Iran, Singapore, South Korea, Taiwan, UK and USA) the book contains 14 chapters divided into three main parts: Networks (six chapters), Communications (seven chapters) and Security (one chapter). With this unique combination of information in each volume, the 'Advances in Networks, Security and Communications: Reviews' Book Series will be of value for scientists and engineers in industry and universities. Like the first volume of this book Series, the second volume also has been organized by topics of high nterest. In order to offer a fast and easy reading of the state of the art of each topic, every chapter in this book is independent and self-contained. This book ensures that our readers will stay at the cutting edge of the field and get the right and effective start point and road map for the further researches and developments.

Advances In Signal Processing And Intelligent Recognition Systems

Author : Sabu M. Thampi
ISBN : 9783319049601
Genre : Technology & Engineering
File Size : 68. 85 MB
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This edited volume contains a selection of refereed and revised papers originally presented at the International Symposium on Signal Processing and Intelligent Recognition Systems (SIRS-2014), March 13-15, 2014, Trivandrum, India. The program committee received 134 submissions from 11 countries. Each paper was peer reviewed by at least three or more independent referees of the program committee and the 52 papers were finally selected. The papers offer stimulating insights into Pattern Recognition, Machine Learning and Knowledge-Based Systems; Signal and Speech Processing; Image and Video Processing; Mobile Computing and Applications and Computer Vision. The book is directed to the researchers and scientists engaged in various field of signal processing and related areas.

Sequences And Their Applications

Author : C. Ding
ISBN : 9781447105510
Genre : Computers
File Size : 87. 71 MB
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This book contains survey papers and research papers by leading experts on sequences and their applications. It discusses both the theory of sequences and their applications in cryptography, coding theory, communications systems, numerical computation and computer simulation. Sequences have important applications in ranging systems, spread spectrum communication systems, multi-terminal system identification, code division multiply access communications systems, global positioning systems, software testing, circuit testing, computer simulation, and stream ciphers. The papers contained in this volume bring together experts from discrete mathematics, computer science and communications engineering, and help to bridge advances in these different areas.

Discrete Mathematics With Ducks

Author : sarah-marie belcastro
ISBN : 9781466505001
Genre : Computers
File Size : 39. 11 MB
Format : PDF
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Containing exercises and materials that engage students at all levels, Discrete Mathematics with Ducks presents a gentle introduction for students who find the proofs and abstractions of mathematics challenging. This classroom-tested text uses discrete mathematics as the context for introducing proofwriting. Facilitating effective and active learni

Sequences Of Numbers Involved In Unsolved Problems

Author : Florentin Smarandache
ISBN : 9781599730066
Genre : Sequences (Mathematics)
File Size : 30. 48 MB
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Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. The book contains definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. ( on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes/squares/cubes/factorials, almost primes, mobile periodicals, functions, tables, prime/square/factorial bases, generalized factorials, generalized palindromes, etc. ).

Recurrence Sequences

Author : Graham Everest
ISBN : 9781470423155
Genre :
File Size : 86. 57 MB
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Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.

Mathematica By Example

Author : Martha L. Abell
ISBN : 0080921698
Genre : Computers
File Size : 48. 7 MB
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Mathematica by Example, 4e is designed to introduce the Mathematica programming language to a wide audience. This is the ideal text for all scientific students, researchers, and programmers wishing to learn or deepen their understanding of Mathematica. The program is used to help professionals, researchers, scientists, students and instructors solve complex problems in a variety of fields, including biology, physics, and engineering. Clear organization, complete topic coverage, and accessible exposition for novices Fully compatible with Mathematica 6.0 New applications, exercises and examples from a variety of fields including biology, physics and engineering Includes a CD-ROM with all Mathematica input appearing in the book, useful to students so they do not have to type in code and commands

New National Framework Mathematics

Author : M. J. Tipler
ISBN : 9780748778812
Genre : Mathematics
File Size : 40. 78 MB
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New National Framework Mathematics features extensive teacher support materials which include dedicated resources to support each Core and Plus Book. The 7 Plus Teacher Planning Pack contains Teacher Notes for every chapter with a 'Self-contained lesson plan' for each of the units in the pupil books.

Graphs And Combinatorial Optimization From Theory To Applications

Author : Claudio Gentile
ISBN : 9783030630720
Genre : Mathematics
File Size : 25. 94 MB
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This book highlights new and original contributions on Graph Theory and Combinatorial Optimization both from the theoretical point of view and from applications in all fields. The book chapters describe models and methods based on graphs, structural properties, discrete optimization, network optimization, mixed-integer programming, heuristics, meta-heuristics, math-heuristics, and exact methods as well as applications. The book collects selected contributions from the CTW2020 international conference (18th Cologne-Twente Workshop on Graphs and Combinatorial Optimization), held online on September 14-16, 2020. The conference was organized by IASI-CNR with the contribution of University of Roma Tre, University Roma Tor Vergata, and CNRS-LIX and with the support of AIRO. It is addressed to researchers, PhD students, and practitioners in the fields of Graph Theory, Discrete Mathematics, Combinatorial Optimization, and Operations Research.

Another Set Of Sequences Sub Sequences And Sequences Of Sequences

Author : Florentin Smarandache
ISBN :
Genre :
File Size : 90. 14 MB
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New sequences in number theory are showed below with definitions, examples, solved or open questions and references for each case.

Optimal Sorting Of Rolling Stock

Author : Ronny Hansmann
ISBN : 9783736936591
Genre : Mathematics
File Size : 63. 59 MB
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This thesis is concerned with the problem of optimally rearranging objects, in particular, railcars in a rail yard. The work is motivated by a research project of the Institute of Mathematical Optimization at Technische Universität Braunschweig, together with our project partner BASF, The Chemical Company, in Ludwigshafen. For many variants of such rearrangement problems - including the real-world application at BASF - we state the computational complexity by exploiting their equivalence to particular graph coloring, scheduling, and bin packing problems. We present mathematical optimization methods for determining schedules that are either optimal or close to optimal, and computational results are discussed from both a theoretical and practical point of view. In addition to the railway industry, there are other fields of application in which efficiently rearranging, sorting, or stacking is an important issue. For instance, the results obtained in this thesis could also be applied to solving certain piling problems in warehouses or container terminals.

Discrete Geometry For Computer Imagery

Author : Rocio Gonzalez Diaz
ISBN : 9783642370670
Genre : Computers
File Size : 38. 19 MB
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This book constitutes the thoroughly refereed proceedings of the 17th International Conference on Discrete Geometry for Computer Imagery, DGCI 2013, held in Seville, Spain, in March 2013. The 34 revised full papers presented were carefully selected from 56 submissions and focus on geometric transforms, discrete and combinatorial tools for image segmentation and analysis, discrete and combinatorial topology, discrete shape representation, recognition and analysis, models for discrete geometry, morphological analysis and discrete tomography.

Artificial Intelligence

Author : Martin Atzmueller
ISBN : 9783030319786
Genre : Computers
File Size : 42. 50 MB
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This book contains a selection of the best papers of the 30th Benelux Conference on Artificial Intelligence, BNAIC 2018, held in ‘s-Hertogenbosch, The Netherlands, in November 2018. The 9 full papers and 3 short papers presented in this volume were carefully reviewed and selected from 31 submissions. They address various aspects of artificial intelligence such as natural language processing, agent technology, game theory, problem solving, machine learning, human-agent interaction, AI and education, and data analysis.

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