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1 Discrete - Gilles Retsin
Auteur : Gilles Retsin
Genre : Art & Architecture
After two decades of experimentation with the digital, the prevalent paradigm of formal continuity is being revised and questioned by an emerging generation of architects and theorists. While the world struggles with a global housing crisis and the impact of accelerated automation on labour, digital designers’ narrow focus on mere style and continuous differentiation seems increasingly out of touch.

This issue charts an emerging body of work that is based on a computational understanding of the discrete part or building block – elements that are as scalable, accessible and versatile as digital data. The discrete proposes that a new, digital understanding of assembly, based on parts, contains the greatest promise for a complex, open-ended, adaptable architecture. This approach capitalises on the digital economy and automation, with the potential of the digital to democratis

Mathematics
Demystified
2 Discrete Mathematics DeMYSTiFied - Steven G. Krantz
Auteur : Steven G. Krantz
Genre : Engineering
MULTIPLY your chances of understanding DISCRETE MATHEMATICS
If you're interested in learning the fundamentals of discrete mathematics but can't seem to get your brain to function, then here's your solution. Add this easy-to-follow guide to the equation and calculate how quickly you learn the essential concepts.

Written by award-winning math professor Steven Krantz, Discrete Mathematics Demystified explains this challenging topic in an effective and enlightening way. You will learn about logic, proofs, functions, matrices, sequences, series, and much more. Concise explanations, real-world examples, and worked equations make it easy to understand the material, and end-of-chapter exercises and a final exam help reinforce learning.

This fast and easy guide offers:
Numerous figures to illustrate key concepts Sample problems with worked solutions Coverage of

Outline
Mathematics
Revised
Edition
3 Schaum's Outline of Discrete Mathematics, Revised Third Edition - Seymour Lipschutz & Marc Lipson
Auteur : Seymour Lipschutz & Marc Lipson
Genre : Study Aids
Tough Test Questions? Missed Lectures? Not Enough Time?
Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you:
Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications
Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best

Machine
4 The Discrete Charm of the Machine - Ken Steiglitz
Auteur : Ken Steiglitz
Genre : Mathematics
The genesis of the digital idea and why it transformed civilization

A few short decades ago, we were informed by the smooth signals of analog television and radio; we communicated using our analog telephones; and we even computed with analog computers. Today our world is digital, built with zeros and ones. Why did this revolution occur? The Discrete Charm of the Machine explains, in an engaging and accessible manner, the varied physical and logical reasons behind this radical transformation.

The spark of individual genius shines through this story of innovation: the stored program of Jacquard’s loom; Charles Babbage’s logical branching; Alan Turing’s brilliant abstraction of the discrete machine; Harry Nyquist’s foundation for digital signal processing; Claude Shannon’s breakthrough insights into the meaning of information and bandwidth; and

Problems
Mathematics
5 2000 Solved Problems in Discrete Mathematics - Seymour Lipschutz
Auteur : Seymour Lipschutz
Genre : Mathematics
Master discrete mathematics with Schaum's--the high-performance solved-problem guide.

It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams!

Students love Schaum's Solved Problem Guides because they produce results. Each year, thousands of students improve their test scores and final grades with these indispensable guides. Get the edge on your classmates. Use Schaum's!

If you don't have a lot of time but want to excel in class, use this book to:
Brush up before testsStudy quickly and more effectivelyLearn the best strategies for solving tough problems in step-by-step detailReview what you've learned in class by solving thousands of relevant problems that test your skill
Compatible with any classroom text, Schaum's Solved Problem Guides let you practice at your own pace and r

Mathematics
Teachers
6 Discrete Mathematics For Teachers - Ed Wheeler & Jim Brawner
Auteur : Ed Wheeler & Jim Brawner
Genre : Education
(Originally Published by Houghton Mifflin Company, 2004) There is a national consensus that teachers who teach middle-grades and elementary mathematics need deeper and broader exposure to mathematics in both their undergraduate and in their graduate studies. The Mathematics Education of Teachers, published by The Conference Board on the Mathematical Sciences, recommends 21 semester hours of mathematics for prospective teachers of middle-grades mathematics. In several states pre-service teachers preparing to teach middle-grades mathematics and pre-service teachers preparing to teach elementary school must complete 6- 9 semester hours of mathematics content at the junior-senior level. Graduate schools across the nation have developed special programs for educators who specialize in teaching mathematics to elementary school children and to middle grades students. However, there is a
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Mathematics
8 Guide to Discrete Mathematics - Gerard O'Regan
Auteur : Gerard O'Regan
Genre : Computers & Internet
This stimulating textbook/reference presents a broad and accessible guide to the fundamentals of discrete mathematics, highlighting how the techniques may be applied to various exciting areas in computing. The text is designed to motivate and inspire the reader, encouraging further study in this important skill.

Topics and features:
Provides an introduction to the building blocks of discrete mathematics, including sets, relations and functionsDescribes the basics of number theory, the techniques of induction and recursion, and the applications of mathematical sequences, series, permutations, and combinationsPresents the essentials of algebra, covering simultaneous and quadratic equations, and the laws of logarithms and indices, in addition to such structures in abstract algebra as monoids, groups, rings, integral domains, fields, and vector spacesExplains the funda

Business
Processes
Warehouse
Management
Microsoft
Dynamics
Manufacturing
9 The Business & System Processes of Warehouse Management Microsoft Dynamics 365 Discrete Manufacturing - Adam Jonhson
Auteur : Adam Jonhson
Genre : Essays
The Warehouse Management module within Microsoft Dynamics AX ERP solution offers the flexibility and control needed to optimize warehouse processes according to individual requirements. The functionality in the Warehouse Management module provides thorough and efficient monitoring and automation of warehouse procedures for manufacturing and distribution businesses to assist in boosting inventory insights, reducing costs, and improving customer satisfaction.
Increase warehouse efficiency and accuracy with automation tools that help to allocate warehouse space by identifying optimal storage locations for inventory based on item characteristics and warehouse zones. Journals record all warehouse activities providing a complete history of actions via an audit trail. The option of either barcoding or Radio Frequency Identification (RFID) can be utilized to increase accuracy and speed of p

Forbidden
Configurations
Geometry
10 Forbidden Configurations in Discrete Geometry - David Eppstein
Auteur : David Eppstein
Genre : Computers
This book surveys the mathematical and computational properties of finite sets of points in the plane, covering recent breakthroughs on important problems in discrete geometry, and listing many open problems. It unifies these mathematical and computational views using forbidden configurations, which are patterns that cannot appear in sets with a given property, and explores the implications of this unified view. Written with minimal prerequisites and featuring plenty of figures, this engaging book will be of interest to undergraduate students and researchers in mathematics and computer science. Most topics are introduced with a related puzzle or brain-teaser. The topics range from abstract issues of collinearity, convexity, and general position to more applied areas including robust statistical estimation and network visualization, with connections to related areas of mathematics includi

Business
Processes
Purchasing
Dynamics
Manufacturing
11 The Business and System processes of Purchasing module In Dynamics 365 for Discrete Manufacturing - Adam Jonhson
Auteur : Adam Jonhson
Genre : Business & Personal Finance
Like any process the purchasing process is made up of several steps or activities each step takes information, processes it and turns into an output to feed into the next step. While the purchasing process may vary from organization to organization the major fundamentals remain the same.The contents:
0. OVERVIEW PURCHASING PROCESS
1. PURCHASING REQUISITIONS
2. ANALYSE SUPPLIER PERFORMANCE
3. SUPPLIER NEGOTIATIONS AND SELECTION
4. MANAGE PURCHASING QUOTATION
5. MANAGE SUPPIER CONTRACTS
6. MANAGE PURCHASING ORDER
7. RECEIVING PURCHASING ORDERS
8. QUARANTINE MANAGEMENT
9. SUPPLIER RETURNS
10. CREATING PO FOR APPROVED VENDORS
11. INQUIRIES
12. REPORTS

Business
Processes
Accounts
Payable
Microsoft
Dynamics
Manufacturing
12 The Business & System Processes of Accounts Payable Microsoft Dynamics 365 Discrete Manufacturing - Adam Jonhson
Auteur : Adam Jonhson
Genre : Business & Personal Finance
Microsoft Dynamics 365 includes Accounts payable features that help you track vendor invoices and outgoing expenditures. You can enter vendor invoices manually or receive them electronically through a service. Vendors can also enter invoices by using a vendor portal in Enterprise Portal for Microsoft Dynamics 365. After invoices are entered or received, you can review and approve them. You can use invoice matching, vendor invoice policies, and workflow to automate the review process so that invoices that meet certain criteria are automatically approved, and the remaining invoices are flagged for review by an authorized user. includes Accounts payable features that help you track vendor invoices and outgoing expenditures. You can enter vendor invoices manually or receive them electronically through a service. Vendors can also enter invoices by using a vendor portal in Enterprise Portal fo

Quantum
Mechanics
13 Discrete Quantum Mechanics - H. Thomas Williams
Auteur : H. Thomas Williams
Genre : Physics
After a quarter century of discoveries that rattled the foundations of classical mechanics and electrodynamics, the year 1926 saw the publication of two works intended to provide a theoretical structure to support new quantum explanations of the subatomic world. Heisenberg's matrix mechanics and Schrodinger’s wave mechanics provided compatible but mathematically disparate ways of unifying the discoveries of Planck, Einstein, Bohr and many others. Efforts began immediately to prove the equivalence of these two structures, culminated successfully by John von Neumann’s 1932 volume "Mathematical Foundations of Quantum Mechanics." This forms the springboard for the current effort. We begin with a presentation of a minimal set of von Neumann postulates while introducing language and notation to facilitate subsequent discussion of quantum calculations based in finite dimensional

Fundamentals
Computer
Science
14 Fundamentals of Discrete Math for Computer Science - Tom Jenkyns & Ben Stephenson
Auteur : Tom Jenkyns & Ben Stephenson
Genre : Computers & Internet
This clearly written textbook presents an accessible introduction to discrete mathematics for computer science students, offering the reader an enjoyable and stimulating path to improve their programming competence. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Its motivational and interactive style provokes a conversation with the reader through a questioning commentary, and supplies detailed walkthroughs of several algorithms.

This updated and enhanced new edition also includes new material on directed graphs, and on drawing and coloring graphs, in addition to more than 100 new exercises (with solutions to selected exercises).

Topics and features:

Assumes no prior mathematical knowledge, and discusses concepts in programming as an

Introductory
Mathematics
15 Introductory Discrete Mathematics - V. K . Balakrishnan
Auteur : V. K . Balakrishnan
Genre : Mathematics
This concise text offers an introduction to discrete mathematics for undergraduate students in computer science and mathematics. Mathematics educators consider it vital that their students be exposed to a course in discrete methods that introduces them to combinatorial mathematics and to algebraic and logical structures focusing on the interplay between computer science and mathematics. The present volume emphasizes combinatorics, graph theory with applications to some stand network optimization problems, and algorithms to solve these problems.
Chapters 0–3 cover fundamental operations involving sets and the principle of mathematical induction, and standard combinatorial topics: basic counting principles, permutations, combinations, the inclusion-exclusion principle, generating functions, recurrence relations, and an introduction to the analysis of algorithms. Applications are emp

Business
Processes
Planning
Dynamics
Manufacturing
16 The Business & System Processes of Master Planning In Dynamics 365 for Discrete Manufacturing - Adam Jonhson
Auteur : Adam Jonhson
Genre : Business & Personal Finance
Master planning is a highly integrated module, drawing parameter settings and other information from other modules in Microsoft Dynamics 365. The integration includes the following:
Organization Administration
Accounts payable and Accounts receivable
General ledger
Product information management
Sales and marketing
Procurement and sourcing
Production control
Inventory and warehouse management

Introduction
Optimization
17 An Introduction to Optimization - Edwin K. P. Chong & Stanislaw H. Zak
Auteur : Edwin K. P. Chong & Stanislaw H. Zak
Genre : Mathematics
Praise for the Third Edition ". . . guides and leads the reader through the learning path . . . [e]xamples are stated very clearly and the results are presented with attention to detail."  —MAA Reviews 

Fully updated to reflect new developments in the field, the Fourth Edition of Introduction to Optimization fills the need for accessible treatment of optimization theory and methods with an emphasis on engineering design. Basic definitions and notations are provided in addition to the related fundamental background for linear algebra, geometry, and calculus. 

This new edition explores the essential topics of unconstrained optimization problems, linear programming problems, and nonlinear constrained optimization. The authors also present an optimization perspective on global search methods and include discussions on genetic al

Reinforcement
Learning
18 Deep Reinforcement Learning Hands-On - Maxim Lapan
Auteur : Maxim Lapan
Genre : Computers
New edition of the bestselling guide to deep reinforcement learning and how it's used to solve complex real-world problems. Revised and expanded to include multi-agent methods, discrete optimization, RL in robotics, advanced exploration techniques, and more Key Features Second edition of the bestselling introduction to deep reinforcement learning, expanded with six new chapters Learn advanced exploration techniques including noisy networks, pseudo-count, and network distillation methods Apply RL methods to cheap hardware robotics platforms Book Description Deep Reinforcement Learning Hands-On, Second Edition is an updated and expanded version of the bestselling guide to the very latest reinforcement learning (RL) tools and techniques. It provides you with an introduction to the fundamentals of RL, along with the hands-on ability to code intelligent learning agents to perform a range of

Digital
Filtering
19 Digital and Kalman Filtering - S. M. Bozic
Auteur : S. M. Bozic
Genre : Engineering
This text for advanced undergraduates and graduate students provides a concise introduction to increasingly important topics in electrical engineering: digital filtering, filter design, and applications in the form of the Kalman and Wiener filters. The first half focuses on digital filtering, covering FIR and IIR filter design and other concepts. The second half addresses filtering noisy data to extract a signal, with chapters on nonrecursive (FIR Wiener) estimation, recursive (Kalman) estimation, and optimum estimation of vector signals.
The treatment is presented in tutorial form, but readers are assumed to be familiar with basic circuit theory, statistical averages, and elementary matrices. Central topics are developed gradually, including both worked examples and problems with solutions, and this second edition features new material and problems.

Dynamical
Systems
20 Discrete-Time and Discrete-Space Dynamical Systems - Kuize Zhang, Lijun Zhang & Lihua Xie
Auteur : Kuize Zhang, Lijun Zhang & Lihua Xie
Genre : Engineering
Discrete-Time and Discrete-Space Dynamical Systems provides a systematic characterization of the similarities and differences of several types of discrete-time and discrete-space dynamical systems, including:Boolean control networks;nondeterministic finite-transition systems;finite automata;labelled Petri nets; andcellular automata.The book's perspective is primarily based on topological properties though it also employs semitensor-product and graph-theoretic methods where appropriate. It presents a series of fundamental results: invertibility, observability, detectability, reversiblity, etc., with applications to systems biology.
Academic researchers with backgrounds in applied mathematics, engineering or computer science and practising engineers working with discrete-time and discrete-space systems will find this book a helpful source of new understanding for this incr

Progress
Traceability
Conjecture
Oriented
Formula
21 Progress on the Traceability Conjecture for Oriented Graphs (Formula) - Discrete Mathematics and Theoretical Computer Science
Auteur : Discrete Mathematics and Theoretical Computer Science
Genre : Computers
1 Introduction The set of vertices and the set of arcs of a digraph D are denoted by V(D) and A(D), respectively, and the order of D is denoted n(D). A directed cycle (path, walk) in a digraph will simply be called a cycle (path, walk). A digraph is hamiltonian if it contains a cycle that visits every vertex, traceable if it contains a path that visits every vertex, walkable (or unilaterally connected) if it contains a walk that visits every vertex, and strong (or strongly connected) if it has a closed walk that visits every vertex.

Colored
22 Colored Discrete Spaces - Luca Lionni
Auteur : Luca Lionni
Genre : Physics
This book provides a number of combinatorial tools that allow a systematic study of very general discrete spaces involved in the context of discrete quantum gravity. In any dimension D, we can discretize Euclidean gravity in the absence of matter over random discrete spaces obtained by gluing families of polytopes together in all possible ways. These spaces are then classified according to their curvature. In D=2, it results in a theory of random discrete spheres, which converge in the continuum limit towards the Brownian sphere, a random fractal space interpreted as a quantum random space-time. In this limit, the continuous Liouville theory of D=2 quantum gravity is recovered.

Previous results in higher dimension regarded triangulations, converging towards  a continuum random tree, or gluings of simple building blocks of small sizes, for which multi-trace

Journey
Mathematics
23 A Brief Journey in Discrete Mathematics - Randolph Nelson
Auteur : Randolph Nelson
Genre : Mathematics
The goal of this book is to showcase the beauty of mathematics as revealed in nine topics of discrete mathematics. In each chapter, properties are explored through a series of straightforward questions that terminate with results that lie at the doorstep of a field of study. Each step along the way is elementary and requires only algebraic manipulation. This frames the wonder of mathematics and highlights the complex world that lies behind a series of simple, mathematical, deductions.
Topics addressed include combinatorics, unifying properties of symmetric functions, the Golden ratio as it leads to k-bonacci numbers, non-intuitive and surprising results found in a simple coin tossing game, the playful, trick question aspect of modular systems, exploration of basic properties of prime numbers and derivations of bewildering results that arise from approximating irrational numbers as

Teaching
Learning
Mathematics
Worldwide
Curriculum
Research
24 Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research - Eric W. Hart & James Sandefur
Auteur : Eric W. Hart & James Sandefur
Genre : Education
This book discusses examples of discrete mathematics in school curricula, including in the areas of graph theory, recursion and discrete dynamical systems, combinatorics, logic, game theory, and the mathematics of fairness. In addition, it describes current discrete mathematics curriculum initiatives in several countries, and presents ongoing research, especially in the areas of combinatorial reasoning and the affective dimension of learning discrete mathematics. 
Discrete mathematics is the math of our time.' So declared the immediate past president of the National Council of Teachers of Mathematics, John Dossey, in 1991. Nearly 30 years later that statement is still true, although the news has not yet fully reached school mathematics curricula. Nevertheless, much valuable work has been done, and continues to be done. This volume reports on some of that work. It provides a gli

25 La Discrète - Jean-Pierre Ronssin & Christian Vincent
Auteur : Jean-Pierre Ronssin & Christian Vincent
Genre : Fiction
Au XVIIe siècle, les femmes portaient ce qu'on appelle des mouches. C'étaient des petits morceaux de taffetas noir qu'elles se collaient sur le visage ou sur les seins pour faire ressortir la blancheur de leur peau... Celle que l'on portait sur le front s'appelait la majestueuse ; au coin de l'œil, c'était la passionnée, près des lèvres, c'était la galante ; celle qui cachait un bouton, c'était la voleuse ; et celle qu'on portait sur le menton, comme vous ce grain de beauté, on l'appelait la discrète... L'élégance du verbe, les clins d'œil littéraires, l'histoire elle-même, tout se prêtait à publier le scénario du premier film de Christian Vincent. Couronné par de nombreux prix, salué par une critique unanime et élogieuse, la première des récompenses, c'est assurément l'enthousiasme du public qui a retrouvé dans ce film le goût d'un cinéma de la parole.

Stochastic
Processes
Optimal
Filtering
26 Discrete Stochastic Processes and Optimal Filtering - Jean-Claude Bertein & Roger Ceschi
Auteur : Jean-Claude Bertein & Roger Ceschi
Genre : Electrical Engineering
Optimal filtering applied to stationary and non-stationary signals provides the most efficient means of dealing with problems arising from the extraction of noise signals. Moreover, it is a fundamental feature in a range of applications, such as in navigation in aerospace and aeronautics, filter processing in the telecommunications industry, etc. This book provides a comprehensive overview of this area, discussing random and Gaussian vectors, outlining the results necessary for the creation of Wiener and adaptive filters used for stationary signals, as well as examining Kalman filters which are used in relation to non-stationary signals. Exercises with solutions feature in each chapter to demonstrate the practical application of these ideas using Matlab.

Distributions
27 Discrete q-Distributions - Charalambos A. Charalambides
Auteur : Charalambos A. Charalambides
Genre : Mathematics
A self-contained study of the various applications and developments of discrete distribution theory

Written by a well-known researcher in the field, Discrete q-Distributions features an organized presentation of discrete q-distributions based on the stochastic model of a sequence of independent Bernoulli trials. In an effort to keep the book self-contained, the author covers all of the necessary basic q-sequences and q-functions.

The book begins with an introduction of the notions of a q-power, a q-factorial, and a q-binomial coefficient and proceeds to discuss the basic q-combinatorics and q-hypergeometric series. Next, the book addresses discrete q-distributions with success probability at a trial varying geometrically, with rate q, either with the number of previous trials or with

Branching
Processes
Environment
28 Discrete Time Branching Processes in Random Environment - Götz Kersting & Vladimir Vatutin
Auteur : Götz Kersting & Vladimir Vatutin
Genre : Mathematics
Branching processes are stochastic processes which represent the reproduction of particles, such as individuals within a population, and thereby model demographic stochasticity. In branching processes in random environment (BPREs), additional environmental stochasticity is incorporated, meaning that the conditions of reproduction may vary in a random fashion from one generation to the next.

This book offers an introduction to the basics of BPREs and then presents the cases of critical and subcritical processes in detail, the latter dividing into weakly, intermediate, and strongly subcritical regimes.

Mathematics
Structures
Computer
Science
29 Mathematics of Discrete Structures for Computer Science - Gordon J. Pace
Auteur : Gordon J. Pace
Genre : Computers & Internet
Mathematics plays a key role in computer science, some researchers would consider computers as nothing but the physical embodiment of mathematical systems. And whether you are designing a digital circuit, a computer program or a new programming language, you need mathematics to be able to reason about the design -- its correctness, robustness and dependability. This book covers the foundational mathematics necessary for courses in computer science.

The common approach to presenting mathematical concepts and operators is to define them in terms of properties they satisfy, and then based on these definitions develop ways of computing the result of applying the operators and prove them correct. This book is mainly written for computer science students, so here the author takes a different approach: he starts by defining ways of calculating the results of applying the operators an

Twentieth
Anniversary
Computational
Geometry
30 Twentieth Anniversary Volume: Discrete & Computational Geometry - Jacob E. Goodman, János Pach & Richard Pollack
Auteur : Jacob E. Goodman, János Pach & Richard Pollack
Genre : Mathematics
This commemorative book contains the 28 major articles that appeared in the 2008 Twentieth Anniversary Issue of the journal Discrete & Computational Geometry, and presents a comprehensive picture of the current state of the field. Formed during the past few decades by the merger of the classical discipline of combinatorial and discrete geometry with the new field of computational geometry that sprang up in the 1970s, discrete and computational geometry now claims the allegiance of a sizeable number of mathematicians and computer scientists all over the world, whose most important work has been appearing since 1986 in the pages of the journal.

The articles in this volume, a number of which solve long-outstanding problems in the field, were chosen by the editors of DCG for the importance of their results, for the breadth of their scope, and to show the intimate connections t

Business
Processes
Accounts
Receivable
Microsoft
Dynamics
Manufacturing
31 The Business & System Processes of Accounts Receivable Microsoft Dynamics 365 Discrete Manufacturing - Adam Jonhson
Auteur : Adam Jonhson
Genre : Essays
The Accounts Receivable module allows tracking of all sales and incoming payments from customers. Set up customer groups and payment options. Create interest notes and collection letters. Define parameters relating to customers, sales orders, prices, discounts, supplementary items, deliveries, etc. Settle customer invoices and make inquiries from all available data in the Accounts Receivable module.
CONTENTS:
0. OVERVIEW AR PROCESS
1.SALES ORDER UPDATE
2. CUSTOMER INVOICE PROCESSING
3. CUSTOMER PAYMENTS
4. REVIEW TRANSACTIONS
5. SALES INQUIRIES
6. SALES REPORTS
7. PERIODIC

Approximation
Optimization
Differential
Inclusions
32 Approximation and Optimization of Discrete and Differential Inclusions - Elimhan N. Mahmudov
Auteur : Elimhan N. Mahmudov
Genre : Mathematics
Optimal control theory has numerous applications in both science and engineering.
This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions.
In addition to including well-recognized results of variational analysis and optimization, the book includes a number of new and important onesIncludes practical examples

Stochastic
Simulation
Optimization
Systems
33 Stochastic Simulation Optimization for Discrete Event Systems - Chun-Hung Chen & Et Al.
Auteur : Chun-Hung Chen & Et Al.
Genre : Mathematics
Discrete event systems (DES) have become pervasive in our daily lives. Examples include (but are not restricted to) manufacturing and supply chains, transportation, healthcare, call centers, and financial engineering. However, due to their complexities that often involve millions or even billions of events with many variables and constraints, modeling these stochastic simulations has long been a “hard nut to crack”. The advance in available computer technology, especially of cluster and cloud computing, has paved the way for the realization of a number of stochastic simulation optimization for complex discrete event systems. This book will introduce two important techniques initially proposed and developed by Professor Y C Ho and his team; namely perturbation analysis and ordinal optimization for stochastic simulation optimization, and present the state-of-the-art technology, and the

Mathematics
Applications
34 Discrete Mathematics with Applications - Thomas Koshy
Auteur : Thomas Koshy
Genre : Mathematics
This approachable text studies discrete objects and the relationsips that bind them. It helps students understand and apply the power of discrete math to digital computer systems and other modern applications. It provides excellent preparation for courses in linear algebra, number theory, and modern/abstract algebra and for computer science courses in data structures, algorithms, programming languages, compilers, databases, and computation.

* Covers all recommended topics in a self-contained, comprehensive, and understandable format for students and new professionals
* Emphasizes problem-solving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof techniques, algorithm development and correctness, and numeric computations
* Weaves numerous applications into the text
* Helps students learn by doing with a wealth of exam

Asymptotic
Integration
Stability
Ordinary
Functional
Differential
Equations
Fractional
35 Asymptotic Integration And Stability: For Ordinary, Functional And Discrete Differential Equations Of Fractional Order - Dumitru Baleanu & Octavian G Mustafa
Auteur : Dumitru Baleanu & Octavian G Mustafa
Genre : Mathematics
This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner. It deals with new results on existence, uniqueness and multiplicity, smoothness, asymptotic development, and stability of solutions. The new topics in the field of fractional calculus include also the Mittag-Leffler and Razumikhin stability, stability of a class of discrete fractional non-autonomous systems, asymptotic integration with a priori given coefficients, intervals of disconjugacy (non-oscillation), existence of Lp solutions for various linear, and nonlinear fractional differential equations.
Contents:The Differential Operators of Order 1 + α and Their Integral CounterpartsExistence and Uniqueness of Solution for the Differential Equations of Order α Position of the Zeros, the Bihari Inequality, and the

Charlie
36 The Discrete Charm of Charlie Monk - David Ambrose
Auteur : David Ambrose
Genre : Mysteries & Thrillers
From beloved British novelist David Ambrose comes a spy thriller unlike any other about why some memories are better off buried.
Charlie Monk is the ultimate spy. He has no conscience, no fear -- and no memory. Dr. Susan Flemyng thinks she may have found a way to give him his memory back. As the two of them embark on a series of experiments to recover Charlie's long-lost memory, they find something terrifying in the deepest recesses of his mind.

Mathematics
37 MCS-013: Discrete Mathematics - Dr. DK Sukhani
Auteur : Dr. DK Sukhani
Genre : Education
This book is useful for IGNOU BCA & MCA students. A perusal of past questions papers gives an idea of the type of questions asked, the paper pattern and so on, it is for this benefit, we provide these IGNOU MCS-013: Discrete Mathematics Notes. Students are advised to refer these solutions in conjunction with their reference books. It will help you to improve your exam preparations.

This book covers Discrete Mathematical Structures, Formal Methods: Introduction and Analogy, Abstraction.

Fundamentals: Sets & Relations- Sets, Types of Sets, Multi Sets, Operations on Sets, Relations and Properties of Relations, Representation of Relations, Equivalence Relation, Closures of Relations, Methods of Proof-Direct Proofs, Indirect Proofs, Mathematical Induction, Method of Contradiction.

Combinatorics: Permutations and Combinations, Pigeon Hole Principle, Pri

Dynamical
Systems
Bifurcations
Economics
Enhanced
Edition
38 Discrete Dynamical Systems, Bifurcations and Chaos in Economics (Enhanced Edition) - Wei-Bin Zhang
Auteur : Wei-Bin Zhang
Genre : Mathematics
This book is a unique blend of difference equations theory and its exciting applications to economics. It deals with not only theory of linear (and linearized) difference equations, but also nonlinear dynamical systems which have been widely applied to economic analysis in recent years. It studies most important concepts and theorems in difference equations theory in a way that can be understood by anyone who has basic knowledge of calculus and linear algebra. It contains well-known applications and many recent developments in different fields of economics. The book also simulates many models to illustrate paths of economic dynamics.A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economicsMathematical definitions and theorems are introduced in a systematic and easily accessible wayExamples are from almost all fiel

Fundamentals
Element
Methods
Engineering
Applications
Enhanced
Edition
39 Fundamentals of Discrete Element Methods for Rock Engineering: Theory and Applications (Enhanced Edition) - Lanru Jing & Ove Stephansson
Auteur : Lanru Jing & Ove Stephansson
Genre : Geology
This book presents some fundamental concepts behind the basic theories and tools of discrete element methods (DEM), its historical development, and its wide scope of applications in geology, geophysics and rock engineering. Unlike almost all books available on the general subject of DEM, this book includes coverage of both explicit and implicit DEM approaches, namely the Distinct Element Methods and Discontinuous Deformation Analysis (DDA) for both rigid and deformable blocks and particle systems, and also the Discrete Fracture Network (DFN) approach for fluid flow and solute transport simulations. The latter is actually also a discrete approach of importance for rock mechanics and rock engineering. In addition, brief introductions to some alternative approaches are also provided, such as percolation theory and Cosserat micromechanics equivalence to particle systems, which often appear h

Continuous
40 Discrete, Continuous, and Hybrid Petri Nets - René David & Hassane Alla
Auteur : René David & Hassane Alla
Genre : Engineering
This monograph presents a well written and clearly organized introduction in the standard methods of discrete, continuous and hybrid Petri Nets. Starting from the basics of Petri nets the book imparts an accurate understanding of continuous and hybrid Petri Nets. Preserving the consistency of basic concepts throughout the text it introduces a unified framework for all the models presented. The book is a scientific monograph as well as a didactic tutorial which is easy to understand due to many exercises with solutions, detailed figures and several case studies. It demonstrates that Petri nets are a deep, practical and alive field important for researchers, engineers and graduate students in engineering and computer science.

Energie
Lucioles
41 L’énergie discrète des lucioles - François Laplantine
Auteur : François Laplantine
Genre : Social Science
Les images sont au coeur de tous les enjeux contemporains. Elles concernent à la fois la question de la connaissance, de l'éthique, de l'esthétique et du politique. Ce que l'on appelle la mondialisation est la production et la diffusion des mêmes images exerçant une fonction de séduction et de manipulation. Mais à ces dernières, la photographie, les arts plastiques, le cinéma, la vidéo peuvent résister en créant d'autres images.

Mechanics
42 Discrete Mechanics - Jean-Paul Caltagirone
Auteur : Jean-Paul Caltagirone
Genre : Mathematics
The discrete vision of mechanics is based on the founding ideas of Galileo and the principles of relativity and equivalence, which postulate the equality between gravitational mass and inertial mass. To these principles are added the Hodge–Helmholtz decomposition, the principle of accumulation of constraints and the hypothesis of the duality of physical actions.

These principles make it possible to establish the equation of motion based on the conservation of acceleration considered as an absolute quantity in a local frame of reference, in the form of a sum of the gradient of the scalar potential and the curl of the vector potential. These potentials, which represent the constraints of compression and rotation, are updated from the discrete operators.

Discrete Mechanics: Concepts and Applications shows that this equation of discrete motion is representati

Structures
43 Ramsey Theory for Discrete Structures - Hans Jürgen Prömel
Auteur : Hans Jürgen Prömel
Genre : Mathematics
This monograph covers some of the most important developments in Ramsey theory from its beginnings in the early 20th century via its many breakthroughs to recent important developments in the early 21st century.

The book first presents a detailed discussion of the roots of Ramsey theory before offering a thorough discussion of the role of parameter sets. It presents several examples of structures that can be interpreted in terms of parameter sets and features the most fundamental Ramsey-type results for parameter sets: Hales-Jewett's theorem and Graham-Rothschild¹s Ramsey theorem as well as their canonical versions and several applications. Next, the book steps back to the most basic structure, to sets. It reviews classic results as well as recent progress on Ramsey numbers and the asymptotic behavior of classical Ramsey functions. In addition, the chapter presents product ve

Optimization
Architecture
44 Discrete Optimization in Architecture - Machi Zawidzki
Auteur : Machi Zawidzki
Genre : Engineering
This book presents three projects that demonstrate the fundamental problems of architectural design and urban composition – the layout design, evaluation and optimization. Part I describes the functional layout design of a residential building, and an evaluation of the quality of a town square (plaza).

The algorithm for the functional layout design is based on backtracking using a constraint satisfaction approach combined with coarse grid discretization. The algorithm for the town square evaluation is based on geometrical properties derived directly from its plan.

Part II introduces a crowd-simulation application for the analysis of escape routes on floor plans, and optimization of a floor plan for smooth crowd flow. The algorithms presented employ agent-based modeling and cellular automata.

Vibration
Continuous
Systems
45 Vibration of Discrete and Continuous Systems - Ahmed Shabana
Auteur : Ahmed Shabana
Genre : Mechanical Engineering
This revised, updated textbook adds new focus on computational methods and the importance of vibration theory in computer-aided engineering to fundamental aspects of vibration of discrete and continuous systems covered in the previous two editions of Vibration of Discrete and Continuous Systems. Building on the book’s emphasis on the theory of vibration of mechanical, structural, and aerospace systems, the author’s modifications, including discussion of the sub-structuring and finite element formulations, complete the coverage of topics required for a contemporary, second course following Vibration Theory. The textbook is appropriate for both upper-level undergraduate and graduate courses.
Expands coverage by more than 200 pages over the previous edition;Grounds detail of vibration within discrete and continuous systems with thorough references to the theory of vibration;

Problems
Continuous
46 Problems from the Discrete to the Continuous - Ross G. Pinsky
Auteur : Ross G. Pinsky
Genre : Mathematics
The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number of specific problems and solves them, the needed tools developed along the way in the context of the particular problems. It treats a mélange of topics from combinatorial probability theory, number theory, random graph theory and combinatorics. The problems in this book involve the asymptotic analysis of a discrete construct as some natural parameter of the system tends to infinity. Besides bridging discrete mathematics and mathematical analysis, the book makes a modest attempt at bridging disciplines. The problems were selected with an eye toward accessibility to a wide audience, including advanced undergraduate students. The book could be used for a seminar course in w

Stability
Turnpike
Phenomenon
Optimal
Control
Problems
47 Stability of the Turnpike Phenomenon in Discrete-Time Optimal Control Problems - Alexander J. Zaslavski
Auteur : Alexander J. Zaslavski
Genre : Mathematics
The structure of approximate solutions of autonomous discrete-time optimal control problems and individual turnpike results for optimal control problems without convexity (concavity) assumptions are examined in this book. In particular, the book focuses on the properties of approximate solutions which are independent of the length of the interval, for all sufficiently large intervals; these results apply to the so-called turnpike property of the optimal control problems. By encompassing the so-called turnpike property the approximate solutions of the problems are determined primarily by the objective function and are fundamentally independent of the choice of interval and endpoint conditions, except in regions close to the endpoints. This book also explores the turnpike phenomenon for two large classes of autonomous optimal control problems. It is illustrated that the turnpike

Difference
Equations
Dynamical
Systems
Applications
48 Difference Equations, Discrete Dynamical Systems and Applications - Martin Bohner, Yiming Ding & Ondřej Došlý
Auteur : Martin Bohner, Yiming Ding & Ondřej Došlý
Genre : Mathematics
These proceedings of the 20th International Conference on Difference Equations and Applications cover the areas of difference equations, discrete dynamical systems, fractal geometry, difference equations and biomedical models, and discrete models in the natural sciences, social sciences and engineering.

The conference was held at the Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences (Hubei, China), under the auspices of the International Society of Difference Equations (ISDE) in July 2014. Its purpose was to bring together renowned researchers working actively in the respective fields, to discuss the latest developments, and to promote international cooperation on the theory and applications of difference equations.

This book will appeal to researchers and scientists working in the fields of difference equations, discrete dynamical systems and

Mathematics
Applications
Edition
49 Discrete Mathematics and Applications, Second Edition - Kevin Ferland
Auteur : Kevin Ferland
Genre : Operating Systems
This book is intended for a one-semester course in discrete mathematics. Such a course is typically taken by mathematics, mathematics education, and computer science majors, usually in their sophomore year. Calculus is not a prerequisite to use this book. Part one focuses on how to write proofs, then moves on to topics in number theory, employing set theory in the process. Part two focuses on computations, combinatorics, graph theory, trees, and algorithms.

Geometry
Computer
Imagery
50 Discrete Geometry for Computer Imagery - David Coeurjolly, Isabelle Sivignon, Laure Tougne & Florent Dupont
Auteur : David Coeurjolly, Isabelle Sivignon, Laure Tougne & Florent Dupont
Genre : Computers
This book constitutes the refereed proceedings of the 14th IAPR TC-18 International Conference on Discrete Geometry for Computer Imagery, DGCI 2008, held in Lyon, France, in April 2008.
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