Different Branches Of Computer Science

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  different branches of computer science: Semirings: Algebraic Theory And Applications In Computer Science Hanns Joachim Weinert, 1998-10-30 This book provides an introduction to the algebraic theory of semirings and, in this context, to basic algebraic concepts as e.g. semigroups, lattices and rings. It includes an algebraic theory of infinite sums as well as a detailed treatment of several applications in theoretical computer science. Complete proofs, various examples and exercises (some of them with solutions) make the book suitable for self-study. On the other hand, a more experienced reader who looks for information about the most common concepts and results on semirings will find cross-references throughout the book, a comprehensive bibliography and various hints to it.
  different branches of computer science: Encyclopedia of Computer Science and Technology Phillip A. Laplante, 2017-10-02 With breadth and depth of coverage, the Encyclopedia of Computer Science and Technology, Second Edition has a multi-disciplinary scope, drawing together comprehensive coverage of the inter-related aspects of computer science and technology. The topics covered in this encyclopedia include: General and reference Hardware Computer systems organization Networks Software and its engineering Theory of computation Mathematics of computing Information systems Security and privacy Human-centered computing Computing methodologies Applied computing Professional issues Leading figures in the history of computer science The encyclopedia is structured according to the ACM Computing Classification System (CCS), first published in 1988 but subsequently revised in 2012. This classification system is the most comprehensive and is considered the de facto ontological framework for the computing field. The encyclopedia brings together the information and historical context that students, practicing professionals, researchers, and academicians need to have a strong and solid foundation in all aspects of computer science and technology.
  different branches of computer science: Encyclopedia of Computer Science and Technology Allen Kent, James G. Williams, 1993-04-05 This comprehensive reference work provides immediate, fingertip access to state-of-the-art technology in nearly 700 self-contained articles written by over 900 international authorities. Each article in the Encyclopedia features current developments and trends in computers, software, vendors, and applications...extensive bibliographies of leading figures in the field, such as Samuel Alexander, John von Neumann, and Norbert Wiener...and in-depth analysis of future directions.
  different branches of computer science: Philosophy of Computer Science William J. Rapaport, 2023-01-16 A unique resource exploring the nature of computers and computing, and their relationships to the world. Philosophy of Computer Science is a university-level textbook designed to guide readers through an array of topics at the intersection of philosophy and computer science. Accessible to students from either discipline, or complete beginners to both, the text brings readers up to speed on a conversation about these issues, so that they can read the literature for themselves, form their own reasoned opinions, and become part of the conversation by contributing their own views. Written by a highly qualified author in the field, the book looks at some of the central questions in the philosophy of computer science, including: What is philosophy? (for readers who might be unfamiliar with it) What is computer science and its relationship to science and to engineering? What are computers, computing, algorithms, and programs?(Includes a line-by-line reading of portions of Turing’s classic 1936 paper that introduced Turing Machines, as well as discussion of the Church-Turing Computability Thesis and hypercomputation challenges to it) How do computers and computation relate to the physical world? What is artificial intelligence, and should we build AIs? Should we trust decisions made by computers? A companion website contains annotated suggestions for further reading and an instructor’s manual. Philosophy of Computer Science is a must-have for philosophy students, computer scientists, and general readers who want to think philosophically about computer science.
  different branches of computer science: A Dictionary of Computer Science Andrew Butterfield, Gerard Ekembe Ngondi, 2016 This bestselling dictionary has been fully revised, making it the most up-to-date and authoritative reference of its kind. Providing comprehensive coverage of computer applications in industry, school, work, education, and the home, it is the ideal reference for students, professionals, and anyone who uses computers.
  different branches of computer science: Database and XML Technologies Zohra Bellahsène, 2003-09-09 This book constitutes the refereed proceedings of the First International XML Database Symposium, XSym 2003, held in Berlin, Germany in September 2003. The 18 revised full papers presented were carefully reviewed and selected from 65 submissions. The papers are organized in topical sections on XML-relational database management systems, XML query processing, systems and tools for XML data processing, XML access structures, stream processing and updates, and design issues.
  different branches of computer science: Cultural Algorithms Shahin Jalili, 2022-11-24 This book covers the latest advances in Cultural Algorithms, their general framework, different variants, hybridized versions with other meta-heuristic and search techniques, and their applications. Cultural Algorithms are meta-heuristic numerical optimization techniques inspired by the bio-cultural evolutionary theory, in which both types of vertical and horizontal learning behaviors are modeled. The book includes well-briefed basics of optimization and theoretical backgrounds of Cultural Algorithms in its initial chapters and then discusses their applications in different branches of science and engineering. It provides detailed mathematical formulations and algorithmic pseudo-codes of hybridized, extended, and multi-population variants of cultural algorithms. The book will serve the research students, fellows, professors, and industry professionals to implement real-time applications of Cultural Algorithms.
  different branches of computer science: Formal Methods for Industrial Critical Systems Maurice H. ter Beek, Dejan Ničković, 2020-08-28 This book constitutes the proceedings of the 25th International Workshop on Formal Methods for Industrial Critical Systems, FMICS 2020, which was held during September 2-3, 2020. The conference was planned to take place in Vienna, Austria. Due to the COVID-19 pandemic it changed to a virtual event. The 11 full papers presented in this volume were carefully reviewed and selected from 26 submissions. The papers are organized in topical sections as follows: Quantitative Analysis and Cyber-Physical Systems, Formal Verification of Industrial Systems, Temporal Logic and Model Checking. The book also contains a lengthy report on a Formal Methods Survey conducted on occasion of the 25th edition of the conference.
  different branches of computer science: Navigating Computer Science Education in the 21st Century Bosch, Chantelle, Goosen, Leila, Chetty, Jacqui, 2024-02-26 Students often face challenges in a swiftly advancing Computer Science Education (CSE), where technologies evolve rapidly, and concepts unfold with overwhelming intricacies. As society becomes interwoven with technology, how essential is the integration of CSE into the educational framework to adequately equip future generations for the complexities of the digital era? Navigating Computer Science Education in the 21st Century advocates integrating CSE into curricula, underlining its crucial role in early childhood development. The book grapples with the challenge of introducing children to technology responsibly, addressing concerns about unmonitored screen time while emphasizing the necessity of evidence-based approaches for educators. Within these pages, effective teaching strategies are linked to successes in CSE. The book explores learner-centered teaching methodologies in computer science, emphasizing individualized instruction, active learning, and collaborative approaches. It evaluates the effectiveness of traditional lecture-based teaching against more innovative strategies such as game-based learning and collaborative approaches. By presenting studies that delve into the impact of these strategies on student engagement and motivation, the book equips educators with the insights needed to make informed decisions tailored to diverse learning environments.
  different branches of computer science: Academic Careers for Experimental Computer Scientists and Engineers National Research Council, Computer Science and Telecommunications Board, Committee on Academic Careers for Experimental Computer Scientists, 1994-02-01 The information age has grown out of the work of experimental computer science, which is dedicated to the development of new hardware, software, graphics, interfaces, and other computer system technologies. While it is important to society in this larger sense, experimental computer science has found an awkward fit in university environments. This volume examines what is special about experimental computer science and what can be done to achieve a better fit for its practitioners in the academic context.
  different branches of computer science: The Development of Computer Science: A Sociocultural Perspective Matti Tedre, 2006
  different branches of computer science: The 5-year Outlook on Science and Technology , 1982
  different branches of computer science: Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences Pradip Debnath, S. A. Mohiuddine, 2021-07-15 Soft computing techniques are no longer limited to the arena of computer science. The discipline has an exponentially growing demand in other branches of science and engineering and even into health and social science. This book contains theory and applications of soft computing in engineering, health, and social and applied sciences. Different soft computing techniques such as artificial neural networks, fuzzy systems, evolutionary algorithms and hybrid systems are discussed. It also contains important chapters in machine learning and clustering. This book presents a survey of the existing knowledge and also the current state of art development through original new contributions from the researchers. This book may be used as a one-stop reference book for a broad range of readers worldwide interested in soft computing. In each chapter, the preliminaries have been presented first and then the advanced discussion takes place. Learners and researchers from a wide variety of backgrounds will find several useful tools and techniques to develop their soft computing skills. This book is meant for graduate students, faculty and researchers willing to expand their knowledge in any branch of soft computing. The readers of this book will require minimum prerequisites of undergraduate studies in computation and mathematics.
  different branches of computer science: The Five-year Outlook on Science and Technology, 1982 Committee on Science, Engineering, and Public Policy (U.S.), 1983
  different branches of computer science: Theoretical Computer Science Mario Coppo, Elena Lodi, 2005-09-28 This book constitutes the refereed proceedings of the 9th International Conference on Theoretical Computer Science, ICTCS 2005, held at the Certosa di Pontignano, Siena, Italy, in October 2005. The 29 revised full papers presented together with an invited paper and abstracts of 2 invited talks were carefully reviewed and selected from 83 submissions. The papers address all current issues in theoretical computer science and focus especially on analysis and design of algorithms, computability, computational complexity, cryptography, formal languages and automata, foundations of programming languages and program analysis, natural computing paradigms (quantum computing, bioinformatics), program specification and verification, term rewriting, theory of logical design and layout, type theory, security, and symbolic and algebraic computation.
  different branches of computer science: Lectures in Game Theory for Computer Scientists Krzysztof R. Apt, Erich Grädel, 2011-01-06 Games provide mathematical models for interaction. Numerous tasks in computer science can be formulated in game-theoretic terms. This fresh and intuitive way of thinking through complex issues reveals underlying algorithmic questions and clarifies the relationships between different domains. This collection of lectures, by specialists in the field, provides an excellent introduction to various aspects of game theory relevant for applications in computer science that concern program design, synthesis, verification, testing and design of multi-agent or distributed systems. Originally devised for a Spring School organised by the GAMES Networking Programme in 2009, these lectures have since been revised and expanded, and range from tutorials concerning fundamental notions and methods to more advanced presentations of current research topics. This volume is a valuable guide to current research on game-based methods in computer science for undergraduate and graduate students. It will also interest researchers working in mathematical logic, computer science and game theory.
  different branches of computer science: Trends in Logic Vincent F. Hendricks, Jacek Malinowski, 2013-03-09 In 1953, exactly 50 years ago to this day, the first volume of Studia Logica appeared under the auspices of The Philosophical Committee of The Polish Academy of Sciences. Now, five decades later the present volume is dedicated to a celebration of this 50th Anniversary of Studia Logica. The volume features a series of papers by distinguished scholars reflecting both the aim and scope of this journal for symbolic logic.
  different branches of computer science: Dictionary of Biochemistry Jain J.L./ Jain Sunjay & Jain Nitin, 2012 A Dictionary of Biochemistry
  different branches of computer science: Computer Science - Theory and Applications Edward Hirsch, Sergei O. Kuznetsov, Jean-Éric Pin, Nikolay Vereshchagin, 2014-06-02 This book constitutes the proceedings of the 9th International Computer Science Symposium in Russia, CSR 2014, held in Moscow, Russia, in June 2014. The 27 full papers presented in this volume were carefully reviewed and selected from 76 submissions. In addition the book contains 4 invited lectures. The scope of the proposed topics is quite broad and covers a wide range of areas in theoretical computer science and its applications.
  different branches of computer science: Pattern Recognition and Computer Vision Huimin Ma, Liang Wang, Changshui Zhang, Fei Wu, Tieniu Tan, Yaonan Wang, Jianhuang Lai, Yao Zhao, 2021-10-22 The 4-volume set LNCS 13019, 13020, 13021 and 13022 constitutes the refereed proceedings of the 4th Chinese Conference on Pattern Recognition and Computer Vision, PRCV 2021, held in Beijing, China, in October-November 2021. The 201 full papers presented were carefully reviewed and selected from 513 submissions. The papers have been organized in the following topical sections: Object Detection, Tracking and Recognition; Computer Vision, Theories and Applications, Multimedia Processing and Analysis; Low-level Vision and Image Processing; Biomedical Image Processing and Analysis; Machine Learning, Neural Network and Deep Learning, and New Advances in Visual Perception and Understanding.
  different branches of computer science: Relations and Kleene Algebra in Computer Science Rudolf Berghammer, Bernhard Mo ller, Georg Struth, 2008-03-28 The book constitutes the joint refereed proceedings of the 10th International Conference on Relational Methods in Computer Science, RelMiCS 2008, and the 5th International Conference on Applications of Kleene Algebras, AKA 2008, held in Manchester, UK in April 2008. The 26 revised full papers presented together with 2 invited papers were carefully reviewed and selected from numerous submissions. The papers describe the calculus of relations and similar algebraic formalisms as methodological and conceptual tools with special focus on formal methods for software engineering, logics of programs and links to neighbouring disciplines. Their scope comprises relation algebra, fixpoint calculi, semiring theory, iteration algebras, process algebras and dynamic algebras. Applications include formal algebraic modeling, the semantics, analysis and development of programs, formal language theory and combinatorial optimization.
  different branches of computer science: Mathematical Foundations of Computer Science /Discrete Mathematics: For JNTUK and JNTUA Dr. S. K. Sarkar & Dr. M.V.S.S.N. Prasad, Mathematical Foundations of Computer Science/Discrete Mathematics caters to all students of JNTU Kakinada and JNTU Anantapur who study the subject. Major topics including, but not limited to Set Theory, Relations, Functions, Algebraic Structures, Combinatorics and Number Theory have been explained in detail along with the examples which are based on the latest examinations of various institutions.
  different branches of computer science: Social Science Fouad Sabry, 2024-08-08 Unlock the connections between human behavior and political systems with Social Science, a key addition to the Political Science series. This book explores societal structures and interactions, offering insights into the dynamic world of social sciences within a political context. 1: Social Science - Examine the essence and significance of social science in shaping political understanding. 2: Interdisciplinarity - Discover how integrating various disciplines enriches political science research. 3: Political Science - Understand core principles and how they intersect with broader social science themes. 4: Behavioral Sciences - Explore how behavioral sciences reveal the psychological roots of political actions. 5: Philosophy of Social Science - Reflect on the philosophical foundations influencing political analysis. 6: History of the Social Sciences - Trace key milestones in the evolution of social sciences and their impact on political science. 7: Sociology - Learn how sociology analyzes societal structures with political implications. 8: Outline of Social Science - Get a comprehensive overview of social science disciplines and their political relevance. 9: List of Social Science Journals - Access essential journals for further research. 10: Outline of Anthropology - Explore anthropology's influence on political understanding through the study of human cultures. 11: Outline of Linguistics - Understand how linguistics informs political discourse and communication. 12: Musicology - Investigate how musicology intersects with social science to reflect political and social contexts. 13: Outline of Sociology - Delve deeper into sociology’s role in political theory. 14: Outline of Academic Disciplines - Examine the connections between academic disciplines, social science, and political studies. 15: Intercultural Relations - Explore the significance of intercultural relations in global political interactions. 16: Discourse Analysis - Learn about discourse analysis techniques for studying political communication. 17: Outline of Science - Understand the scientific method's impact on social science research. 18: List of Fields of Doctoral Studies in the United States - Discover advanced study fields in social and political science. 19: Outline of the Humanities - Explore the connections between the humanities and social science in political thought. 20: List of Academic Fields - Review a comprehensive list of academic fields relevant to social science. 21: List of Cambridge University Press Book Series - Explore notable book series in social and political science. Social Science offers a deep understanding of the forces shaping our world, making it invaluable for professionals, students, and enthusiasts alike.
  different branches of computer science: Constructive Analysis E. Bishop, Douglas Bridges, 2012-12-06 This work grew out of Errett Bishop's fundamental treatise 'Founda tions of Constructive Analysis' (FCA), which appeared in 1967 and which contained the bountiful harvest of a remarkably short period of research by its author. Truly, FCA was an exceptional book, not only because of the quantity of original material it contained, but also as a demonstration of the practicability of a program which most ma thematicians believed impossible to carry out. Errett's book went out of print shortly after its publication, and no second edition was produced by its publishers. Some years later, 'by a set of curious chances', it was agreed that a new edition of FCA would be published by Springer Verlag, the revision being carried out by me under Errett's supervision; at the same time, Errett gener ously insisted that I become a joint author. The revision turned out to be much more substantial than we had anticipated, and took longer than we would have wished. Indeed, tragically, Errett died before the work was completed. The present book is the result of our efforts. Although substantially based on FCA, it contains so much new material, and such full revision and expansion of the old, that it is essentially a new book. For this reason, and also to preserve the integrity of the original, I decided to give our joint work a title of its own. Most of the new material outside Chapter 5 originated with Errett.
  different branches of computer science: Students' Britannica India: Careers Dale Hoiberg, 2000
  different branches of computer science: Foundations of Software Technology and Theoretical Computer Science S.N. Maheshwari, 1985-11
  different branches of computer science: A Century of Mathematics Through the Eyes of the Monthly John Ewing, 2020-08-03
  different branches of computer science: A Century of Mathematics John Ewing, 1996-09-05 This is the story of American mathematics during the past century. It contains articles and excerpts from a century of the American Mathematical Monthly, giving the reader an opportunity to skim all one hundred volumes of this popular mathematics magazine without actually opening them. It samples mathematics year by year and decade by decade. The reader can glimpse the mathematical community at the turn of the century, the controversy about Einstein and relativity, the debates about formalism in logic, the immigration of mathematicians from Europe, and the frantic effort to organize as the war began. More recent articles deal with the advent of computers and the changes they brought, and with some of the triumphs of modern research.
  different branches of computer science: Computer Studies of Phase Transitions and Critical Phenomena Ole G. University of Southern Denmark, 2012-12-06 This book is based on research carried out by the author in close collabora tion with a number of colleagues. In particular, I wish to thank Per Bak, A. John Berlinsky, Hans C. Fogedby, Barry Frank, S. 1. Knak Jensen, David Mukamel, David Pink, and Martin Zuckermann for fruitful and extremely stimulating cooperation. It is a pleasure for me to note that active interaction with most of these colleagues is still continuing. The work has been performed at several different institutions, notably the Department of Chemistry, Aarhus University, Denmark, and the Depart ment of Physics, University of British Columb~a, Canada. I wish to thank the Department of Chemistry at Aarhus University for providing me with splen did research facilities over the years. From May 1980 to August 1981, I visited the Department of Physics at the University of British Columbia and I would like to express my sincere gratitude to members ofthe department for provi ding me with excellent working conditions. My special thanks are due to Professor Myer Bloom who introduced me to the field of phase transitions in biological membranes and in whose biomembrane group I found an extre mely stimulating scientific atmosphere happily married with a most agreeable social climate. During the last two years when a major part ofthis work was carried out, I was supported by AlS De Danske Spritfabrikker through their Jubilreumsle gat of 1981. Their support is gratefully acknowledged.
  different branches of computer science: Perspectives on Computer Science Anita K. Jones, 2014-06-17 Perspectives on Computer Science provides information pertinent to the fundamental aspects of computer science. This book discusses the weaknesses frequently found in minicomputers. Organized into 12 chapters, this book begins with an overview of the technological, economic, and human aspects of the environment in which PDP–11 was designed and built. This text then examines the set of techniques for tree searching. Other chapters consider a tutorial on automatic planning systems, with emphasis given to knowledge representation issues. This book discusses as well the classical least-fixedpoint approach toward recursive programs and examines the interplay between time and space determined by a variety of machine models. The final chapter deals with some of the primary influences in contemporary programming language design, namely, programming methodology, program specification, verification, and formal semantic definition techniques. This book is a valuable resource for students and teachers. Computer science theoreticians and mathematicians will also find this book useful.
  different branches of computer science: Current Trends in Theoretical Computer Science Gheorghe P?un, 2004 This book is based on columns and tutorials published in the Bulletin of the European Association for Theoretical Computer Science (EATCS) during the period 2000OCo2003. It presents many of the most active current research lines in theoretical computer science. The material appears in two volumes, OC Algorithms and ComplexityOCO and OC Formal Models and SemanticsOCO, reflecting the traditional division of the field. The list of contributors includes many of the well-known researchers in theoretical computer science. Most of the articles are reader-friendly and do not presuppose much knowledge of the area in question. Therefore, the book constitutes very suitable supplementary reading material for various courses and seminars in computer science. Contents: Vol 1: Algorithms; Computational Complexity; Distributed Computing; Natural Computing; Vol 2: Formal Specification; Logic in Computer Science; Concurrency; Formal Language Theory. Readership: Upper level undergraduates, graduate students and researchers in theoretical computer science and biocomputing.
  different branches of computer science: Collaborative Networks:Reference Modeling Luis M. Camarinha-Matos, Hamideh Afsarmanesh, 2008-05-25 Collaborative Networks: Reference Modeling works to establish a theoretical foundation for Collaborative Networks. Particular emphasis is put on modeling multiple facets of collaborative networks and establishing a comprehensive modeling framework that captures and structures diverse perspectives of these complex entities. Further, this book introduces a contribution to the definition of reference models for Collaborative Networks. Collaborative Networks: Reference Modeling provides valuable elements for researchers, PhD students, engineers, managers, and leading practitioners interested in collaborative systems and networked society.
  different branches of computer science: Number Theory for Computing Song Y. Yan, 2013-11-11 This book provides a good introduction to the classical elementary number theory and the modern algorithmic number theory, and their applications in computing and information technology, including computer systems design, cryptography and network security. In this second edition proofs of many theorems have been provided, further additions and corrections were made.
  different branches of computer science: Help Your Kids with Computer Science (Key Stages 1-5) DK, 2018-07-05 Perfect for home learning, this visual guide to computers, the Internet, and social media uses step-by-step diagrams and graphics to explore how kids can get the most from computers while staying safe. Covering everything from data to digital life, from computer coding to cyber attacks, this unique guide gives parents and kids the most up-to-date and comprehensive facts and information in a visually appealing way. It examines the technical aspects of computers, such as how they function, the latest digital devices and software, and how the Internet works. It also builds the confidence of parents and kids when facing challenges such as staying safe online, digital etiquette, and how to navigate the potential pitfalls of social media. Jargon-free language helps to explain difficult and potentially dread-inducing concepts such as hacking, Bitcoin, and malware, while colorful graphics help make learning about the world of computer science exciting. For those who want to make the most out of the digital world, Help Your Kids with Computer Science is the perfect platform to discover more. Series Overview: DK's bestselling Help Your Kids With series contains crystal-clear visual breakdowns of important subjects. Simple graphics and jargon-free text are key to making this series a user-friendly resource for frustrated parents who want to help their children get the most out of school.
  different branches of computer science: Logic, Methodology and Philosophy of Science VI J.J. Cohen, J. Los, H. Pfeiffer, K.-P. Podewski, 2011-10-10 Logic, Methodology and Philosophy of Science VI presents the results of recent research into the foundations of science. The volume contains invited papers presented at the Congress, covering the areas of Logic, Mathematics, Physical Sciences, Biological Sciences and the Humanities.
  different branches of computer science: Lecture Notes on Graph Theory Sudev Naduvath, 2017-12-08 The book is based on the syllabus of Computer Science and Engineering Programme under APJ Abdul Kalam Technological University, Kerala.
  different branches of computer science: Introduction to Artificial Intelligence Techniques Chin-Liang Chang, 1985 An introduction to artificial intelligence, knowledge representation languages and Prolog.
  different branches of computer science: Teaching of Computers Y.k.singh, 2009
  different branches of computer science: ECAI 2016 G.A. Kaminka, M. Fox, P. Bouquet, 2016-08-24 Artificial Intelligence continues to be one of the most exciting and fast-developing fields of computer science. This book presents the 177 long papers and 123 short papers accepted for ECAI 2016, the latest edition of the biennial European Conference on Artificial Intelligence, Europe’s premier venue for presenting scientific results in AI. The conference was held in The Hague, the Netherlands, from August 29 to September 2, 2016. ECAI 2016 also incorporated the conference on Prestigious Applications of Intelligent Systems (PAIS) 2016, and the Starting AI Researcher Symposium (STAIRS). The papers from PAIS are included in this volume; the papers from STAIRS are published in a separate volume in the Frontiers in Artificial Intelligence and Applications (FAIA) series. Organized by the European Association for Artificial Intelligence (EurAI) and the Benelux Association for Artificial Intelligence (BNVKI), the ECAI conference provides an opportunity for researchers to present and hear about the very best research in contemporary AI. This proceedings will be of interest to all those seeking an overview of the very latest innovations and developments in this field.
  different branches of computer science: Informatics Reinhard Wilhelm, 2003-06-29 Informatics - 10 Years Back, 10 Years Ahead presents a unique collection of expository papers on major current issues in the field of computer science and information technology. The 26 contributions written by leading researchers on personal invitation assess the state of the art of the field by looking back over the past decade, presenting important results, identifying relevant open problems, and developing visions for the decade to come. This book marks two remarkable and festive moments: the 10th anniversary of the International Research and Conference Center for Computer Science in Dagstuhl, Germany and the 2000th volume published in the Lecture Notes in Computer Science series.
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Feb 13, 2018 · at/in/with different level Your English level is really good Vs Your level of English is really good in/on/at level and I learned that "I am on level number" is used in video games. I …

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Oct 14, 2011 · Hi everyone, I am writing an e-mail, but would like to change subject. I know that there's a polite English expression to do this, but I cannot remember it (how annoying!) I know …

much different vs. very different | WordReference Forums
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How to write a fraction: 1/2 or ½ - WordReference Forums
Sep 27, 2021 · I am aware that it is different in the US ( My understanding is that your description helps people who may first become familiar with fractions (X/Y) learn what decimal …

Pronunciation of "o", "ó" and "ô" - WordReference Forums
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