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Books > Computing & IT > Computer programming > Algorithms & procedures

Computational Methods and Algorithms for Medicine and Optimized Clinical Practice (Hardcover): Kwok Tai Chui, Miltiadis D Lytras Computational Methods and Algorithms for Medicine and Optimized Clinical Practice (Hardcover)
Kwok Tai Chui, Miltiadis D Lytras
R6,044 Discovery Miles 60 440 Ships in 18 - 22 working days

As the healthcare industry continues to expand, it must utilize technology to ensure efficiencies are maintained. Healthcare needs to move in a direction where computational methods and algorithms can relieve the routine work of medical doctors, leaving them more time to carry out more important and skilled tasks such as surgery. Computational Methods and Algorithms for Medicine and Optimized Clinical Practice discusses some of the most interesting aspects of theoretical and applied research covering complementary facets of computational methods and algorithms to achieve greater efficiency and support medical personnel. Featuring research on topics such as healthcare reform, artificial intelligence, and disease detection, this book will particularly appeal to medical professionals and practitioners, hospitals, administrators, students, researchers, and academicians.

Principles of Radio Navigation for Ground and Ship-Based Aircrafts (Hardcover, 1st ed. 2019): Sauta O.I., Shatrakov A.Y.,... Principles of Radio Navigation for Ground and Ship-Based Aircrafts (Hardcover, 1st ed. 2019)
Sauta O.I., Shatrakov A.Y., Shatrakov Y.G., Zavalishin O.I.
R2,653 Discovery Miles 26 530 Ships in 18 - 22 working days

This book systematically presents the operating principles and technical characteristics of the main radio navigating systems (RNSs) that make it possible to adequately evaluate the corresponding scratch indexes and levels of air safety for air vehicles, the chief concern of the International Civil Aviation Organization (ICAO). The book discusses how RNS systems substantially determine navigation accuracy and reliability, and therefore air safety; in addition, it presents practical solutions to problems arising in the operation and development of RNS systems.

Primer for Data Analytics and Graduate Study in Statistics (Hardcover, 1st ed. 2020): Douglas Wolfe, Grant Schneider Primer for Data Analytics and Graduate Study in Statistics (Hardcover, 1st ed. 2020)
Douglas Wolfe, Grant Schneider
R2,441 Discovery Miles 24 410 Ships in 18 - 22 working days

This book is specially designed to refresh and elevate the level of understanding of the foundational background in probability and distributional theory required to be successful in a graduate-level statistics program. Advanced undergraduate students and introductory graduate students from a variety of quantitative backgrounds will benefit from the transitional bridge that this volume offers, from a more generalized study of undergraduate mathematics and statistics to the career-focused, applied education at the graduate level. In particular, it focuses on growing fields that will be of potential interest to future M.S. and Ph.D. students, as well as advanced undergraduates heading directly into the workplace: data analytics, statistics and biostatistics, and related areas.

Cohesive Subgraph Computation over Large Sparse Graphs - Algorithms, Data Structures, and Programming Techniques (Hardcover,... Cohesive Subgraph Computation over Large Sparse Graphs - Algorithms, Data Structures, and Programming Techniques (Hardcover, 1st ed. 2018)
Lijun Chang, Lu Qin
R1,408 Discovery Miles 14 080 Ships in 18 - 22 working days

This book is considered the first extended survey on algorithms and techniques for efficient cohesive subgraph computation. With rapid development of information technology, huge volumes of graph data are accumulated. An availability of rich graph data not only brings great opportunities for realizing big values of data to serve key applications, but also brings great challenges in computation. Using a consistent terminology, the book gives an excellent introduction to the models and algorithms for the problem of cohesive subgraph computation. The materials of this book are well organized from introductory content to more advanced topics while also providing well-designed source codes for most algorithms described in the book. This is a timely book for researchers who are interested in this topic and efficient data structure design for large sparse graph processing. It is also a guideline book for new researchers to get to know the area of cohesive subgraph computation.

Evolutionary Computation and Complex Networks (Hardcover, 1st ed. 2019): Jing Liu, Hussein A. Abbass, Kay Chen Tan Evolutionary Computation and Complex Networks (Hardcover, 1st ed. 2019)
Jing Liu, Hussein A. Abbass, Kay Chen Tan
R2,653 Discovery Miles 26 530 Ships in 18 - 22 working days

This book introduces the linkage between evolutionary computation and complex networks and the advantages of cross-fertilising ideas from both fields. Instead of introducing each field individually, the authors focus on the research that sits at the interface of both fields. The book is structured to address two questions: (1) how complex networks are used to analyze and improve the performance of evolutionary computation methods? (2) how evolutionary computation methods are used to solve problems in complex networks? The authors interweave complex networks and evolutionary computing, using evolutionary computation to discover community structure, while also using network analysis techniques to analyze the performance of evolutionary algorithms. The book is suitable for both beginners and senior researchers in the fields of evolutionary computation and complex networks.

Advanced Techniques for Audio Watermarking (Hardcover, 1st ed. 2020): Rohit M. Thanki Advanced Techniques for Audio Watermarking (Hardcover, 1st ed. 2020)
Rohit M. Thanki
R1,408 Discovery Miles 14 080 Ships in 18 - 22 working days

This book provides information on digital audio watermarking, its applications, and its evaluation for copyright protection of audio signals - both basic and advanced. The author covers various advanced digital audio watermarking algorithms that can be used for copyright protection of audio signals. These algorithms are implemented using hybridization of advanced signal processing transforms such as fast discrete curvelet transform (FDCuT), redundant discrete wavelet transform (RDWT), and another signal processing transform such as discrete cosine transform (DCT). In these algorithms, Arnold scrambling is used to enhance the security of the watermark logo. This book is divided in to three portions: basic audio watermarking and its classification, audio watermarking algorithms, and audio watermarking algorithms using advance signal transforms. The book also covers optimization based audio watermarking. Describes basic of digital audio watermarking and its applications, including evaluation parameters for digital audio watermarking algorithms; Provides audio watermarking algorithms using advanced signal transformations; Provides optimization based audio watermarking algorithms.

Research Anthology on Multi-Industry Uses of Genetic Programming and Algorithms, VOL 2 (Hardcover): Information Reso Management... Research Anthology on Multi-Industry Uses of Genetic Programming and Algorithms, VOL 2 (Hardcover)
Information Reso Management Association
R12,409 Discovery Miles 124 090 Ships in 18 - 22 working days
Air Traffic Control Automated Systems (Hardcover, 1st ed. 2020): Bestugin A.R., Eshenko A.A., Filin A.D., Plyasovskikh A.P.,... Air Traffic Control Automated Systems (Hardcover, 1st ed. 2020)
Bestugin A.R., Eshenko A.A., Filin A.D., Plyasovskikh A.P., Shatrakov A.Y., …
R3,133 Discovery Miles 31 330 Ships in 18 - 22 working days

This book highlights operation principles for Air Traffic Control Automated Systems (ATCAS), new scientific directions in design and application of dispatching training simulators and parameters of ATCAS radio equipment items for aircraft positioning. This book is designed for specialists in air traffic control and navigation at a professional and scientific level. The following topics are also included in this book: personnel actions in emergency, including such unforeseen circumstances as communication failure, airplane wandering off course, unrecognized aircraft appearance in the air traffic service zone, aerial target interception, fuel draining, airborne collision avoidance system (ACAS) alarm, emergency stacking and volcanic ash cloud straight ahead.

Test Generation of Crosstalk Delay Faults in VLSI Circuits (Hardcover, 1st ed. 2019): S. Jayanthy, M.C. Bhuvaneswari Test Generation of Crosstalk Delay Faults in VLSI Circuits (Hardcover, 1st ed. 2019)
S. Jayanthy, M.C. Bhuvaneswari
R3,785 Discovery Miles 37 850 Ships in 18 - 22 working days

This book describes a variety of test generation algorithms for testing crosstalk delay faults in VLSI circuits. It introduces readers to the various crosstalk effects and describes both deterministic and simulation-based methods for testing crosstalk delay faults. The book begins with a focus on currently available crosstalk delay models, test generation algorithms for delay faults and crosstalk delay faults, before moving on to deterministic algorithms and simulation-based algorithms used to test crosstalk delay faults. Given its depth of coverage, the book will be of interest to design engineers and researchers in the field of VLSI Testing.

Genetic Programming Theory and Practice XIV (Hardcover, 1st ed. 2018): Rick Riolo, Bill Worzel, Brian Goldman, Bill Tozier Genetic Programming Theory and Practice XIV (Hardcover, 1st ed. 2018)
Rick Riolo, Bill Worzel, Brian Goldman, Bill Tozier
R1,422 Discovery Miles 14 220 Ships in 18 - 22 working days

These contributions, written by the foremost international researchers and practitioners of Genetic Programming (GP), explore the synergy between theoretical and empirical results on real-world problems, producing a comprehensive view of the state of the art in GP. Chapters in this volume include: Similarity-based Analysis of Population Dynamics in GP Performing Symbolic Regression Hybrid Structural and Behavioral Diversity Methods in GP Multi-Population Competitive Coevolution for Anticipation of Tax Evasion Evolving Artificial General Intelligence for Video Game Controllers A Detailed Analysis of a PushGP Run Linear Genomes for Structured Programs Neutrality, Robustness, and Evolvability in GP Local Search in GP PRETSL: Distributed Probabilistic Rule Evolution for Time-Series Classification Relational Structure in Program Synthesis Problems with Analogical Reasoning An Evolutionary Algorithm for Big Data Multi-Class Classification Problems A Generic Framework for Building Dispersion Operators in the Semantic Space Assisting Asset Model Development with Evolutionary Augmentation Building Blocks of Machine Learning Pipelines for Initialization of a Data Science Automation Tool Readers will discover large-scale, real-world applications of GP to a variety of problem domains via in-depth presentations of the latest and most significant results.

Research Anthology on Multi-Industry Uses of Genetic Programming and Algorithms, VOL 1 (Hardcover): Information Reso Management... Research Anthology on Multi-Industry Uses of Genetic Programming and Algorithms, VOL 1 (Hardcover)
Information Reso Management Association
R12,400 Discovery Miles 124 000 Ships in 18 - 22 working days
Classical and Modern Controls with Microcontrollers - Design, Implementation and Applications (Hardcover, 1st ed. 2019): Ying... Classical and Modern Controls with Microcontrollers - Design, Implementation and Applications (Hardcover, 1st ed. 2019)
Ying Bai, Zvi S. Roth
R4,808 Discovery Miles 48 080 Ships in 18 - 22 working days

This book focuses on the design, implementation and applications of embedded systems and advanced industrial controls with microcontrollers. It combines classical and modern control theories as well as practical control programming codes to help readers learn control techniques easily and effectively. The book covers both linear and nonlinear control techniques to help readers understand modern control strategies. The author provides a detailed description of the practical considerations and applications in linear and nonlinear control systems. They concentrate on the ARM (R) Cortex (R)-M4 MCU system built by Texas Instruments (TM) called TM4C123GXL, in which two ARM (R) Cortex (R)-M4 MCUs, TM4C123GH6PM, are utilized. In order to help the reader develop and build application control software for a specified microcontroller unit. Readers can quickly develop and build their applications by using sample project codes provided in the book to access specified peripherals. The book enables readers to transfer from one interfacing protocol to another, even if they only have basic and fundamental understanding and basic knowledge of one interfacing function. Classical and Modern Controls with Microcontrollers is a powerful source of information for control and systems engineers looking to expand their programming knowledge of C, and of applications of embedded systems with microcontrollers. The book is a textbook for college students majored in CE, EE and ISE to learn and study classical and modern control technologies. The book can also be adopted as a reference book for professional programmers working in modern control fields or related to intelligent controls and embedded computing and applications. Advances in Industrial Control reports and encourages the transfer of technology in control engineering. The rapid development of control technology has an impact on all areas of the control discipline. The series offers an opportunity for researchers to present an extended exposition of new work in all aspects of industrial control.

Development of Navigation Technology for Flight Safety (Hardcover, 1st ed. 2020): Baburov S.V., Bestugin A.R., Galyamov A.M.,... Development of Navigation Technology for Flight Safety (Hardcover, 1st ed. 2020)
Baburov S.V., Bestugin A.R., Galyamov A.M., Sauta O.I., Shatrakov Y.G.
R3,124 Discovery Miles 31 240 Ships in 18 - 22 working days

This book highlights practical solutions for flight safety improvement techniques, which are currently the focus of the International Civil Aviation Organization (ICAO). It has become clear that, in order to rapidly and significantly improve flight safety, the integrated use of new aeronautical technologies is called for. Considering the size of the aviation fleet, its constant growth and the long service lives of aircraft, new technologies should be adapted both to cutting-edge air navigation systems and to those that have been used for over a decade. Concretely, the book discusses methodological approaches to the construction of ground and on-board avionics that make it possible to achieve improved flight safety using innovative new methods. The proposed approaches are illustrated with real-world examples of e.g. satellite-based navigation systems and enhanced ground proximity warning systems. The book is written for professionals involved in the development of avionics systems, as well as students, researchers and experts in the field of radiolocation, radio navigation and air traffic control, the book will support the development and modeling of radio technical complexes, as well as the analysis of complex radio technical systems.

Agent-Based Models and Complexity Science in the Age of Geospatial Big Data - Selected Papers from a workshop on Agent-Based... Agent-Based Models and Complexity Science in the Age of Geospatial Big Data - Selected Papers from a workshop on Agent-Based Models and Complexity Science (GIScience 2016) (Hardcover, 1st ed. 2018)
Liliana Perez, Eun-Kyeong Kim, Raja Sengupta
R4,011 Discovery Miles 40 110 Ships in 18 - 22 working days

This book contains a selection of papers presented during a special workshop on Complexity Science organized as part of the 9th International Conference on GIScience 2016. Expert researchers in the areas of Agent-Based Modeling, Complexity Theory, Network Theory, Big Data, and emerging methods of Analysis and Visualization for new types of data explore novel complexity science approaches to dynamic geographic phenomena and their applications, addressing challenges and enriching research methodologies in geography in a Big Data Era.

Methods for Appearance-based Loop Closure Detection - Applications to Topological Mapping and Image Mosaicking (Hardcover, 1st... Methods for Appearance-based Loop Closure Detection - Applications to Topological Mapping and Image Mosaicking (Hardcover, 1st ed. 2018)
Emilio Garcia-Fidalgo, Alberto Ortiz
R2,653 Discovery Miles 26 530 Ships in 18 - 22 working days

Mapping and localization are two essential tasks in autonomous mobile robotics. Due to the unavoidable noise that sensors present, mapping algorithms usually rely on loop closure detection techniques, which entail the correct identification of previously seen places to reduce the uncertainty of the resulting maps. This book deals with the problem of generating topological maps of the environment using efficient appearance-based loop closure detection techniques. Since the quality of a visual loop closure detection algorithm is related to the image description method and its ability to index previously seen images, several methods for loop closure detection adopting different approaches are developed and assessed. Then, these methods are used in three novel topological mapping algorithms. The results obtained indicate that the solutions proposed attain a better performance than several state-of-the-art approaches. To conclude, given that loop closure detection is also a key component in other research areas, a multi-threaded image mosaicing algorithm is proposed. This approach makes use of one of the loop closure detection techniques previously introduced in order to find overlapping pairs between images and finally obtain seamless mosaics of different environments in a reasonable amount of time.

SOC Functions and Their Applications (Hardcover, 1st ed. 2019): Jein-Shan Chen SOC Functions and Their Applications (Hardcover, 1st ed. 2019)
Jein-Shan Chen
R3,113 Discovery Miles 31 130 Ships in 18 - 22 working days

This book covers all of the concepts required to tackle second-order cone programs (SOCPs), in order to provide the reader a complete picture of SOC functions and their applications. SOCPs have attracted considerable attention, due to their wide range of applications in engineering, data science, and finance. To deal with this special group of optimization problems involving second-order cones (SOCs), we most often need to employ the following crucial concepts: (i) spectral decomposition associated with SOCs, (ii) analysis of SOC functions, and (iii) SOC-convexity and -monotonicity. Moreover, we can roughly classify the related algorithms into two categories. One category includes traditional algorithms that do not use complementarity functions. Here, SOC-convexity and SOC-monotonicity play a key role. In contrast, complementarity functions are employed for the other category. In this context, complementarity functions are closely related to SOC functions; consequently, the analysis of SOC functions can help with these algorithms.

When Compressive Sensing Meets Mobile Crowdsensing (Hardcover, 1st ed. 2019): Linghe Kong, Bowen Wang, Guihai Chen When Compressive Sensing Meets Mobile Crowdsensing (Hardcover, 1st ed. 2019)
Linghe Kong, Bowen Wang, Guihai Chen
R2,653 Discovery Miles 26 530 Ships in 18 - 22 working days

This book provides a comprehensive introduction to applying compressive sensing to improve data quality in the context of mobile crowdsensing. It addresses the following main topics: recovering missing data, efficiently collecting data, preserving user privacy, and detecting false data. Mobile crowdsensing, as an emerging sensing paradigm, enables the masses to take part in data collection tasks with the aid of powerful mobile devices. However, mobile crowdsensing platforms have yet to be widely adopted in practice, the major concern being the quality of the data collected. There are numerous causes: some locations may generate redundant data, while others may not be covered at all, since the participants are rarely systematically coordinated; privacy is a concern for some people, who don't wish to share their real-time locations, and therefore some key information may be missing; further, some participants may upload fake data in order to fraudulently gain rewards. To address these problematic aspects, compressive sensing, which works by accurately recovering a sparse signal using very few samples, has proven to offer an effective solution.

Distributed Real-Time Systems - Theory and Practice (Hardcover, 1st ed. 2019): K. Erciyes Distributed Real-Time Systems - Theory and Practice (Hardcover, 1st ed. 2019)
K. Erciyes
R2,132 Discovery Miles 21 320 Ships in 18 - 22 working days

This classroom-tested textbook describes the design and implementation of software for distributed real-time systems, using a bottom-up approach. The text addresses common challenges faced in software projects involving real-time systems, and presents a novel method for simply and effectively performing all of the software engineering steps. Each chapter opens with a discussion of the core concepts, together with a review of the relevant methods and available software. This is then followed with a description of the implementation of the concepts in a sample kernel, complete with executable code. Topics and features: introduces the fundamentals of real-time systems, including real-time architecture and distributed real-time systems; presents a focus on the real-time operating system, covering the concepts of task, memory, and input/output management; provides a detailed step-by-step construction of a real-time operating system kernel, which is then used to test various higher level implementations; describes periodic and aperiodic scheduling, resource management, and distributed scheduling; reviews the process of application design from high-level design methods to low-level details of design and implementation; surveys real-time programming languages and fault tolerance techniques; includes end-of-chapter review questions, extensive C code, numerous examples, and a case study implementing the methods in real-world applications; supplies additional material at an associated website. Requiring only a basic background in computer architecture and operating systems, this practically-oriented work is an invaluable study aid for senior undergraduate and graduate-level students of electrical and computer engineering, and computer science. The text will also serve as a useful general reference for researchers interested in real-time systems.

Research Anthology on Multi-Industry Uses of Genetic Programming and Algorithms, VOL 3 (Hardcover): Information Reso Management... Research Anthology on Multi-Industry Uses of Genetic Programming and Algorithms, VOL 3 (Hardcover)
Information Reso Management Association
R12,408 Discovery Miles 124 080 Ships in 18 - 22 working days
Advanced HDL Synthesis and SOC Prototyping - RTL Design Using Verilog (Hardcover, 1st ed. 2019): Vaibbhav Taraate Advanced HDL Synthesis and SOC Prototyping - RTL Design Using Verilog (Hardcover, 1st ed. 2019)
Vaibbhav Taraate
R4,644 Discovery Miles 46 440 Ships in 10 - 15 working days

This book describes RTL design using Verilog, synthesis and timing closure for System On Chip (SOC) design blocks. It covers the complex RTL design scenarios and challenges for SOC designs and provides practical information on performance improvements in SOC, as well as Application Specific Integrated Circuit (ASIC) designs. Prototyping using modern high density Field Programmable Gate Arrays (FPGAs) is discussed in this book with the practical examples and case studies. The book discusses SOC design, performance improvement techniques, testing and system level verification, while also describing the modern Intel FPGA/XILINX FPGA architectures and their use in SOC prototyping. Further, the book covers the Synopsys Design Compiler (DC) and Prime Time (PT) commands, and how they can be used to optimize complex ASIC/SOC designs. The contents of this book will be useful to students and professionals alike.

Glowworm Swarm Optimization - Theory, Algorithms, and Applications (Hardcover, 1st ed. 2017): Krishnanand N. Kaipa, Debasish... Glowworm Swarm Optimization - Theory, Algorithms, and Applications (Hardcover, 1st ed. 2017)
Krishnanand N. Kaipa, Debasish Ghose
R3,906 R3,376 Discovery Miles 33 760 Save R530 (14%) Ships in 10 - 15 working days

This book provides a comprehensive account of the glowworm swarm optimization (GSO) algorithm, including details of the underlying ideas, theoretical foundations, algorithm development, various applications, and MATLAB programs for the basic GSO algorithm. It also discusses several research problems at different levels of sophistication that can be attempted by interested researchers. The generality of the GSO algorithm is evident in its application to diverse problems ranging from optimization to robotics. Examples include computation of multiple optima, annual crop planning, cooperative exploration, distributed search, multiple source localization, contaminant boundary mapping, wireless sensor networks, clustering, knapsack, numerical integration, solving fixed point equations, solving systems of nonlinear equations, and engineering design optimization. The book is a valuable resource for researchers as well as graduate and undergraduate students in the area of swarm intelligence and computational intelligence and working on these topics.

PLD Based Design with VHDL - RTL Design, Synthesis and Implementation (Hardcover, 1st ed. 2017): Vaibbhav Taraate PLD Based Design with VHDL - RTL Design, Synthesis and Implementation (Hardcover, 1st ed. 2017)
Vaibbhav Taraate
R5,819 Discovery Miles 58 190 Ships in 10 - 15 working days

This book covers basic fundamentals of logic design and advanced RTL design concepts using VHDL. The book is organized to describe both simple and complex RTL design scenarios using VHDL. It gives practical information on the issues in ASIC prototyping using FPGAs, design challenges and how to overcome practical issues and concerns. It describes how to write an efficient RTL code using VHDL and how to improve the design performance. The design guidelines by using VHDL are also explained with the practical examples in this book. The book also covers the ALTERA and XILINX FPGA architecture and the design flow for the PLDs. The contents of this book will be useful to students, researchers, and professionals working in hardware design and optimization. The book can also be used as a text for graduate and professional development courses.

What's Where in the APPLE - Enhanced Edition - A Complete Guide to the Apple II Computer (Hardcover): Bill Martens, Brian... What's Where in the APPLE - Enhanced Edition - A Complete Guide to the Apple II Computer (Hardcover)
Bill Martens, Brian Wiser, William F Luebbert
R1,754 Discovery Miles 17 540 Ships in 10 - 15 working days
Multivariate Time Series With Linear State Space Structure (Hardcover, 1st ed. 2016): Victor Gomez Multivariate Time Series With Linear State Space Structure (Hardcover, 1st ed. 2016)
Victor Gomez
R3,682 Discovery Miles 36 820 Ships in 10 - 15 working days

This book presents a comprehensive study of multivariate time series with linear state space structure. The emphasis is put on both the clarity of the theoretical concepts and on efficient algorithms for implementing the theory. In particular, it investigates the relationship between VARMA and state space models, including canonical forms. It also highlights the relationship between Wiener-Kolmogorov and Kalman filtering both with an infinite and a finite sample. The strength of the book also lies in the numerous algorithms included for state space models that take advantage of the recursive nature of the models. Many of these algorithms can be made robust, fast, reliable and efficient. The book is accompanied by a MATLAB package called SSMMATLAB and a webpage presenting implemented algorithms with many examples and case studies. Though it lays a solid theoretical foundation, the book also focuses on practical application, and includes exercises in each chapter. It is intended for researchers and students working with linear state space models, and who are familiar with linear algebra and possess some knowledge of statistics.

Evolutionary Multi-Agent Systems - From Inspirations to Applications (Hardcover, 1st ed. 2017): Aleksander Byrski, Marek... Evolutionary Multi-Agent Systems - From Inspirations to Applications (Hardcover, 1st ed. 2017)
Aleksander Byrski, Marek Kisiel-Dorohinicki
R4,287 Discovery Miles 42 870 Ships in 10 - 15 working days

This book addresses agent-based computing, concentrating in particular on evolutionary multi-agent systems (EMAS), which have been developed since 1996 at the AGH University of Science and Technology in Cracow, Poland. It provides the relevant background information on and a detailed description of this computing paradigm, along with key experimental results. Readers will benefit from the insightful discussion, which primarily concerns the efficient implementation of computing frameworks for developing EMAS and similar computing systems, as well as a detailed formal model. Theoretical deliberations demonstrating that computing with EMAS always helps to find the optimal solution are also included, rounding out the coverage.

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