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| reduce computer algebra system: REDUCE Computer Algebra System , Presents REDUCE, an interactive computer program that is designed for general algebraic computations of interest to mathematicians, scientists, and engineers. Includes information about REDUCE and its capabilities, copyright information, documentation, the REDUCE network library, LISP programming language, symbolic mode, the user manual, and other items. Offers access to online demonstration versions. Provides ordering information. |
| reduce computer algebra system: Computer Algebra with LISP and REDUCE F. Brackx, D. Constales, 2013-03-07 One service mathematics has rendered the tEL moi ... si j'avait su comment en revenir. je n'y serais point alle'.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non sense', The series is divergent; therefore we may be Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ... '; 'One service logic has rendered com puter science ... '; 'One service category theory has rendered mathematics, ..'. All arguably true. And all statements obtainable this way form part of the raison d'elre of this series. |
| reduce computer algebra system: Rlisp '88: An Evolutionary Approach To Program Design And Reuse J Marti, 1993-09-21 The RLISP '88 programming system introduces an evolutionary approach to software development that enables small groups of programmers to advance the state of the art over a period of many years. Each new system is built on top of the old; yet, like an Irishman's hammer, little remains of the original program code. This book presents a style of durable programming for domain specialists and computer scientists alike. Exercises at the end of each chapter encourage its use as a textbook. |
| reduce computer algebra system: Computer Algebra and Symbolic Computation Joel S. Cohen, 2002-07-19 This book provides a systematic approach for the algorithmic formulation and implementation of mathematical operations in computer algebra programming languages. The viewpoint is that mathematical expressions, represented by expression trees, are the data objects of computer algebra programs, and by using a few primitive operations that analyze and |
| reduce computer algebra system: Applications of Computer Algebra Richard Pavelle, 1985 Today, certain computer software systems exist which surpass the computational ability of researchers when their mathematical techniques are applied to many areas of science and engineering. These computer systems can perform a large portion of the calculations seen in mathematical analysis. Despite this massive power, thousands of people use these systems as a routine resource for everyday calculations. These software programs are commonly called Computer Algebra systems. They have names such as MACSYMA, MAPLE, muMATH, REDUCE and SMP. They are receiving credit as a computational aid with in creasing regularity in articles in the scientific and engineering literature. When most people think about computers and scientific research these days, they imagine a machine grinding away, processing numbers arithmetically. It is not generally realized that, for a number of years, computers have been performing non-numeric computations. This means, for example, that one inputs an equa tion and obtains a closed form analytic answer. It is these Computer Algebra systems, their capabilities, and applications which are the subject of the papers in this volume. |
| reduce computer algebra system: axịomTM Richard D. Jenks, Robert S. Sutor, 2013-12-21 Recent advances in hardware performance and software technology have made possible a wholly different approach to computational mathematics. Symbolic computation systems have revolutionized the field, building upon established and recent mathematical theory to open new possibilities in virtually every industry. Formerly dubbed Scratchpad, AXIOM is a powerful new symbolic and numerical system developed at the IBM Thomas J. Watson Research Center. AXIOM's scope, structure, and organization make it outstanding among computer algebra systems. AXIOM: The Scientific Computation System is a companion to the AXIOM system. The text is written in a straightforward style and begins with a spirited foreword by David and Gregory Chudnovsky. The book gives the reader a technical introduction to AXIOM, interacts with the system's tutorial, accesses algorithms newly developed by the symbolic computation community, and presents advanced programming and problem solving techniques. Eighty illustrations and eight pages of color inserts accompany text detailing methods used in the 2D and 3D interactive graphics system, and over 2500 example input lines help the reader solve formerly intractable problems. |
| reduce computer algebra system: Algebraic Computing with REDUCE M. A. H. MacCallum, Francis J. Wright, 1991 Explains how to use REDUCE, a widely available computer algebra system, as a supplement to the guide that comes with the product. For undergraduate and graduate students with a background in algebra. Annotation copyrighted by Book News, Inc., Portland, OR |
| reduce computer algebra system: A Guide to Computer Algebra Systems David Harper, Chris Wooff, D. Hodgkinson, 1991 An introduction to computer algebra with a description and comparison of the most popular computer algebra systems. The authors take a critical look at all the popular computer algebra systems - REDUCE, MACSYMA, Maple, Mathematica and Derive. |
| reduce computer algebra system: Application of the reduce computer algebra system to stability analysis of difference schemes Viktor G. Ganža, Richard Liska, 1988 |
| reduce computer algebra system: RLISP '88 Jed Marti, 1993 This book is an introduction to the RLISP'88 programming language. RLISP'88 includes a preprocessor that converts the RLISP'88 syntax into Lisp, and an unparser from Lisp back into RLISP'88.--p. v. |
| reduce computer algebra system: Algorithms for Computer Algebra Keith O. Geddes, Stephen R. Czapor, George Labahn, 1992-09-30 Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields. |
| reduce computer algebra system: Algorithmic Algebra Bhubaneswar Mishra, 2012-12-06 Algorithmic Algebra studies some of the main algorithmic tools of computer algebra, covering such topics as Gröbner bases, characteristic sets, resultants and semialgebraic sets. The main purpose of the book is to acquaint advanced undergraduate and graduate students in computer science, engineering and mathematics with the algorithmic ideas in computer algebra so that they could do research in computational algebra or understand the algorithms underlying many popular symbolic computational systems: Mathematica, Maple or Axiom, for instance. Also, researchers in robotics, solid modeling, computational geometry and automated theorem proving community may find it useful as symbolic algebraic techniques have begun to play an important role in these areas. The book, while being self-contained, is written at an advanced level and deals with the subject at an appropriate depth. The book is accessible to computer science students with no previous algebraic training. Some mathematical readers, on the other hand, may find it interesting to see how algorithmic constructions have been used to provide fresh proofs for some classical theorems. The book also contains a large number of exercises with solutions to selected exercises, thus making it ideal as a textbook or for self-study. |
| reduce computer algebra system: Computer Algebra Handbook Johannes Grabmeier, Erich Kaltofen, Volker Weispfenning, 2012-12-06 Two ideas lie gleaming on the jeweler's velvet. The first is the calculus, the sec ond, the algorithm. The calculus and the rich body of mathematical analysis to which it gave rise made modern science possible; but it has been the algorithm that has made possible the modern world. -David Berlinski, The Advent of the Algorithm First there was the concept of integers, then there were symbols for integers: I, II, III, 1111, fttt (what might be called a sticks and stones representation); I, II, III, IV, V (Roman numerals); 1, 2, 3, 4, 5 (Arabic numerals), etc. Then there were other concepts with symbols for them and algorithms (sometimes) for ma nipulating the new symbols. Then came collections of mathematical knowledge (tables of mathematical computations, theorems of general results). Soon after algorithms came devices that provided assistancefor carryingout computations. Then mathematical knowledge was organized and structured into several related concepts (and symbols): logic, algebra, analysis, topology, algebraic geometry, number theory, combinatorics, etc. This organization and abstraction lead to new algorithms and new fields like universal algebra. But always our symbol systems reflected and influenced our thinking, our concepts, and our algorithms. |
| reduce computer algebra system: REDUCE for Physicists N MacDonald, 2020-10-28 The use of computer algebra systems in science and engineering has grown rapidly as more people realize their potential to solve tedious and extensive mathematical problems. REDUCE for Physicists provides a comprehensive introduction to one of the most widely available and simple to use computer algebra systems, focusing primarily on the needs of physicists. As a means of performing symbolic computation, REDUCE reduces tedious manual algebraic calculations and the dangers of casual errors. Each chapter introduces some aspects of REDUCE and illustrates them with applications from various branches of physics including mechanics, dynamics, dimensional analysis, quantum mechanics, and plasma physics. Emphasizing hands-on work with REDUCE to tackle real physical problems, the book includes exercises to test understanding throughout. Students and researchers in the physical sciences and engineering using REDUCE for the first time will find this book an invaluable aid to learning. |
| reduce computer algebra system: Python for Scientists John M. Stewart, 2017-07-20 Scientific Python is taught from scratch in this book via copious, downloadable, useful and adaptable code snippets. Everything the working scientist needs to know is covered, quickly providing researchers and research students with the skills to start using Python effectively. |
| reduce computer algebra system: Computer Algebra and Polynomials Jaime Gutierrez, Josef Schicho, Martin Weimann, 2015-01-20 Algebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory frequently in our daily life. This book focuses on the theory and algorithms for polynomials over various coefficient domains such as a finite field or ring. The operations on polynomials in the focus are factorization, composition and decomposition, basis computation for modules, etc. Algorithms for such operations on polynomials have always been a central interest in computer algebra, as it combines formal (the variables) and algebraic or numeric (the coefficients) aspects. The papers presented were selected from the Workshop on Computer Algebra and Polynomials, which was held in Linz at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) during November 25-29, 2013, at the occasion of the Special Semester on Applications of Algebra and Number Theory. |
| reduce computer algebra system: Clifford Algebras with Numeric and Symbolic Computations Rafal Ablamowicz, Joseph Parra, Pertti Lounesto, 2012-12-06 Clifford algebras are at a crossing point in a variety of research areas, including abstract algebra, crystallography, projective geometry, quantum mechanics, differential geometry and analysis. For many researchers working in this field in ma- thematics and physics, computer algebra software systems have become indispensable tools in theory and applications. This edited survey book consists of 20 chapters showing application of Clifford algebra in quantum mechanics, field theory, spinor calculations, projective geometry, Hypercomplex algebra, function theory and crystallography. Many examples of computations performed with a variety of readily available software programs are presented in detail, i.e., Maple, Mathematica, Axiom, etc. A key feature of the book is that it shows how scientific knowledge can advance with the use of computational tools and software. |
| reduce computer algebra system: Algorithms for Computer Algebra Keith O. Geddes, Stephen R. Czapor, George Labahn, 2007-06-30 Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields. |
| reduce computer algebra system: Computers and Mathematics Erich Kaltofen, Stephen M. Watt, 2012-12-06 Advances in computer technology have had a tremendous impact on mathematics in the last two decades. In June of 1989, an international conference was held at MIT, bringing together mathematicians and computer scientists, to survey the work that has been done in computational mathematics, to report recent results in this field, and to discuss research directions as well as educational issues. This book presents a fascinating collection of contributions on topics ranging from computational algebra, and parallel computing, to mathematics education. Mathematicians interested in the computational aspects of their discipline as well as computer scientists interested in mathematical applications will enjoy the integrative view provided by this book. |
| reduce computer algebra system: Introduction to Maple Andre HECK, 2012-12-06 In symbolic computation on computers, also known as computer algebra, keyboard and display replace the traditional pencil and paper in doing mathematical computations. Interactive computer programs, which are called computer algebra systems, allow their users to compute not only with numbers, but also with symbols, formulae, equations, and so on. Many mathematical computations such as differentiation, integration, and series expansion of functions, and inversion of matrices with symbolic entries, can be carried out quickly, with emphasis on exactness of results, and without much human effort. Computer algebra systems are powerful tools for mathematicians, physicists, chemists, engineers, technicians, psychologists, sociologists, ... , in short, for anybody who needs to do mathematical computations. Com puter algebra systems are indispensable in modern pure and applied scien tific research and education. This book is a gentle introduction to one of the modern computer algebra systems, viz., Maple. Primary emphasis is on learning what can be done with Maple and how it can be used to solve (applied) mathematical problems. To this end, the book contains many examples and exercises, both elementary and more sophisticated. They stimulate you to use Maple and encourage you to find your way through the system. An advice: read this book in conjunction with the Maple system, try the examples, make variations of them, and try to solve the exercises. |
| reduce computer algebra system: Static Analysis Antoine Mine, David Schmidt, 2012-08-30 This book constitutes the thoroughly refereed proceedings of the 19th International Symposium on Static Analysis, SAS 2012, held in Deauville, France, in September 2012. The 25 revised full papers presented together with 4 invited talks were selected from 62 submissions. The papers address all aspects of static analysis, including abstract domains, abstract interpretation, abstract testing, bug detection, data flow analysis, model checking, new applications, program transformation, program verification, security analysis, theoretical frameworks, and type checking. |
| reduce computer algebra system: SymbolicC++:An Introduction to Computer Algebra using Object-Oriented Programming Kiat Shi Tan, Willi-Hans Steeb, Yorick Hardy, 2012-12-06 Symbolic C++: An Introduction to Computer Algebra Using Object-Oriented Programming provides a concise introduction to C++ and object-oriented programming, using a step-by-step construction of a new object-oriented designed computer algebra system - Symbolic C++. It shows how object-oriented programming can be used to implement a symbolic algebra system and how this can then be applied to different areas in mathematics and physics. This second revised edition:- * Explains the new powerful classes that have been added to Symbolic C++. * Includes the Standard Template Library. * Extends the Java section. * Contains useful classes in scientific computation. * Contains extended coverage of Maple, Mathematica, Reduce and MuPAD. |
| reduce computer algebra system: Intelligent Mathematical Software Systems E.N. Houstis, R. Vichnevetsky, J.R. Rice, 1990-07-03 Most of the well-known mathematical software systems are batch oriented, though in the past few years there have been attempts to incorporate ``knowledge'' or ``expertise'' into these systems. A number of developments have helped in making the systems more powerful and user-friendly: algorithm/parameter selection for the solution of well-defined mathematical engineering problems; parallel computing; computer graphics technology; interface development tools; and of course the years of experience with these systems and the increase in available computing power have made it practical to fulfill the potential seen in the early years of their development.This book covers four main areas of the subject: Application Oriented Expert Systems, Advisory Systems, Knowledge Manipulation Issues, and User Interfaces. |
| reduce computer algebra system: Physics Computing '92: Proceedings Of The 4th International Conference Jaroslav Nadrchal, Robert A De Groot, 1993-05-12 This meeting addresses all aspects of computational methodology with applications to most branches of physics, especially massively parallel computing, symbolic computing, Monte Carlo simulations of quantum systems, neuro-computing, fluids and plasmas, physics education, mesoscopic physics, dynamical systems, molecular dynamics, Monte Carlo techniques, etc. |
| reduce computer algebra system: Transactions of the ... Army Conference on Applied Mathematics and Computing , 1991 |
| reduce computer algebra system: Encyclopedia of Computer Science and Technology Allen Kent, James G. Williams, 2000-04-28 Combining Artificial Neural Networks to Symbolic and Algebraic computation |
| reduce computer algebra system: Symbolic And Algebraic Computation By Computers - Proceedings Of The Second International Symposium N Inada, T Soma, 1985-10-01 This proceedings is based on research work on formula manipulation and computer algebra, culminating in the design and construction of a formula manipulation machine at RIKEN known as the FLATS project. |
| reduce computer algebra system: Computer Algebra J. Calmet, 1982-10-08 |
| reduce computer algebra system: Computer Algebra In Physical Research: Memorial Volume For N N Govorun - Proceedings Of The Iv International Conference V A Rostovtsev, Dmitri V Shirkov, V P Gerdt, 1991-12-11 Professor Nicholas N Govorun, corresponding member of the USSR Academy of Sciences, was the principal organizer of the precedent meetings held at Dubna (1979, 1983, 1985). Unfortunately, he passed away in 1989. This volume is to honor his support in Computer Algebra.This is perhaps the only meeting of the entire soviet union computer algebra community and foreign scientists. The meeting presented scientific results, plans for research facilities, and status reports of the basic areas of investigations. The fields covered include computer algebra systems and general algorithms as well as applied algorithms, programs and results in computer algebra applications (mainly in physics). |
| reduce computer algebra system: Computational Optimal Control Roland Bulirsch, Dieter Kraft, 2012-12-06 Resources should be used sparingly both from a point of view of economy and eco logy. Thus in controlling industrial, economical and social processes, optimization is the tool of choice. In this area of applied numerical analysis, the INTERNATIONAL FEDERATION OF AUTOMATIC CONTROL (IFAC) acts as a link between research groups in universities, national research laboratories and industry. For this pur pose, the technical committee Mathematics of Control of IFAC organizes biennial conferences with the objective of bringing together experts to exchange ideas, ex periences and future developments in control applications of optimization. There should be a genuine feedback loop between mathematicians, computer scientists, engineers and software developers. This loop should include the design, application and implementation of algorithms. The contributions of industrial practitioners are especially important. These proceedings contain selected papers from a workshop on CONTROL Ap PLICATIONS OF OPTIMIZATION, which took place at the Fachhochschule Miinchen in September 1992. The workshop was the ninth in a series of very successful bien nial meetings, starting with the Joint Automatic Control Conference in Denver in 1978 and followed by conferences in London, Oberpfaffenhofen, San Francisco, Ca pri, Tbilisi and Paris. The workshop was attended by ninety researchers from four continents. This volume represents the state of the art in the field, with emphasis on progress made since the publication of the proceedings of the Capri meeting, edited by G. di Pillo under the title 'Control Applications of Optimization and Nonlinear Programming'. |
| reduce computer algebra system: Computational Science — ICCS 2003 Peter M.A. Sloot, David Abramson, Alexander V. Bogdanov, Jack J. Dongarra, Albert Y. Zomaya, Yuriy E. Gorbachev, 2003-08-03 Some of the most challenging problems in science and engineering are being addressed by the integration of computation and science, a research ?eld known as computational science. Computational science plays a vital role in fundamental advances in biology, physics, chemistry, astronomy, and a host of other disciplines. This is through the coordination of computation, data management, access to instrumentation, knowledge synthesis, and the use of new devices. It has an impact on researchers and practitioners in the sciences and beyond. The sheer size of many challenges in computational science dictates the use of supercomputing, parallel and distri- ted processing, grid-based processing, advanced visualization and sophisticated algorithms. At the dawn of the 21st century the series of International Conferences on Computational Science (ICCS) was initiated with a ?rst meeting in May 2001 in San Francisco. The success of that meeting motivated the organization of the - cond meeting held in Amsterdam April 21–24, 2002, where over 500 participants pushed the research ?eld further. The International Conference on Computational Science 2003 (ICCS 2003) is the follow-up to these earlier conferences. ICCS 2003 is unique, in that it was a single event held at two di?erent sites almost opposite each other on the globe – Melbourne, Australia and St. Petersburg, Russian Federation. The conference ran on the same dates at both locations and all the presented work was published in a single set of proceedings, which you hold in your hands right now. |
| reduce computer algebra system: Model Emergent Dynamics in Complex Systems A. J. Roberts, 2014-12-18 Arising out of the growing interest in and applications of modern dynamical systems theory, this book explores how to derive relatively simple dynamical equations that model complex physical interactions. The author?s objectives are to use sound theory to explore algebraic techniques, develop interesting applications, and discover general modeling principles. Model Emergent Dynamics in Complex Systems unifies into one powerful and coherent approach the many varied extant methods for mathematical model reduction and approximation. Using mathematical models at various levels of resolution and complexity, the book establishes the relationships between such multiscale models and clarifying difficulties and apparent paradoxes and addresses model reduction for systems, resolves initial conditions, and illuminates control and uncertainty. The basis for the author?s methodology is the theory and the geometric picture of both coordinate transforms and invariant manifolds in dynamical systems; in particular, center and slow manifolds are heavily used. The wonderful aspect of this approach is the range of geometric interpretations of the modeling process that it produces?simple geometric pictures inspire sound methods of analysis and construction. Further, pictures drawn of state spaces also provide a route to better assess a model?s limitations and strengths. Geometry and algebra form a powerful partnership and coordinate transforms and manifolds provide a powerfully enhanced and unified view of a swathe of other complex system modeling methodologies such as averaging, homogenization, multiple scales, singular perturbations, two timing, and WKB theory. |
| reduce computer algebra system: Control Systems, Robotics and AutomatioN – Volume XII Heinz D. Unbehauen, 2009-10-11 This Encyclopedia of Control Systems, Robotics, and Automation is a component of the global Encyclopedia of Life Support Systems EOLSS, which is an integrated compendium of twenty one Encyclopedias. This 22-volume set contains 240 chapters, each of size 5000-30000 words, with perspectives, applications and extensive illustrations. It is the only publication of its kind carrying state-of-the-art knowledge in the fields of Control Systems, Robotics, and Automation and is aimed, by virtue of the several applications, at the following five major target audiences: University and College Students, Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers and NGOs. |
| reduce computer algebra system: RIMS Symposium on Software Science and Engineering II Eiichi Goto, Keijiro Araki, Taiichi Yuasa, 1986 |
| reduce computer algebra system: Applications of Computational Algebraic Geometry David A. Cox, Dinesh N. Manocha, 1998 This book introduces readers to key ideas and applications of computational algebraic geometry. Beginning with the discovery of Gröbner bases and fueled by the advent of modern computers and the rediscovery of resultants, computational algebraic geometry has grown rapidly in importance. The fact that crunching equations is now as easy as crunching numbers has had a profound impact in recent years. At the same time, the mathematics used in computational algebraic geometry is unusually elegant and accessible, which makes the subject easy to learn and easy to apply. This book begins with an introduction to Gröbner bases and resultants, then discusses some of the more recent methods for solving systems of polynomial equations. A sampler of possible applications follows, including computer-aided geometric design, complex information systems, integer programming, and algebraic coding theory. The lectures in this book assume no previous acquaintance with the material. |
| reduce computer algebra system: A First Course in Computational Algebraic Geometry Wolfram Decker, Gerhard Pfister, 2013-02-07 A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular. |
| reduce computer algebra system: Computer Algebra in Scientific Computing Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov, 2013-08-15 This book constitutes the proceedings of the 14th International Workshop on Computer Algebra in Scientific Computing, CASC 2013, held in Berlin, Germany, in September 2013. The 33 full papers presented were carefully reviewed and selected for inclusion in this book. The papers address issues such as polynomial algebra; the solution of tropical linear systems and tropical polynomial systems; the theory of matrices; the use of computer algebra for the investigation of various mathematical and applied topics related to ordinary differential equations (ODEs); applications of symbolic computations for solving partial differential equations (PDEs) in mathematical physics; problems arising at the application of computer algebra methods for finding infinitesimal symmetries; applications of symbolic and symbolic-numeric algorithms in mechanics and physics; automatic differentiation; the application of the CAS Mathematica for the simulation of quantum error correction in quantum computing; the application of the CAS GAP for the enumeration of Schur rings over the group A5; constructive computation of zero separation bounds for arithmetic expressions; the parallel implementation of fast Fourier transforms with the aid of the Spiral library generation system; the use of object-oriented languages such as Java or Scala for implementation of categories as type classes; a survey of industrial applications of approximate computer algebra. |
| reduce computer algebra system: Computer Algebra in Scientific Computing Viktor G. Ganzha, Ernst W. Mayr, Evgenii V. Vorozhtsov, 2012-12-06 Proceedings of the Third Workshop on Computer Algebra in Scientific Computing, Samarkand, Octobe5r 5-9, 2000 |
| reduce computer algebra system: Design and Implementation of Symbolic Computation Systems Alfonso Miola, 1990-03-26 The growing importance of the systems for symbolic computation has greatly influenced the decision of organizing DISCO '90 which is short for International Symposium on Design and Implementation of Symbolic Computation Systems. DISCO '90 focuses mainly on the most innovative methodological and technological aspects of hardware and software system design and implementation for Symbolic and Algebraic Computation, Automated Reasoning, Software Environments (Languages and User Interfaces), and Automatic Programming. In particular, it includes papers on the design and the development of significant running systems. The general objective of DISCO '90 is to present an up-to-date view of the field, while encouraging the scientific exchange among academic, industrial and user communities of the development of systems for symbolic computation. |
| reduce computer algebra system: Recent Developments In Gravitation - Proceedings Of The "Relativity Meeting – 89" E Verdaguer, J Cespedes, Jaume Garriga, 1990-10-22 This volume reviews some recent developments and new perspectives in classical and Quantum Gravity. The topics treated at a graduate level range from some new and old problems in General Relativity, algebraic computing, gravitational wave astronomy to some more speculative subjects as the early Universe, Quantum Gravity and Quantum Cosmology. |
What does the Array method `reduce` do? - Stack Overflow
Taken from here, arr.reduce() will reduce the array to a value, specified by the callback. In your case, it will basically sum the elements of the array. Steps: Call function on 0,1 ( 0 is the initial …
Using reduce () to find min and max values? - Stack Overflow
We can accomplish this by declaring an empty array as the accumulator value for the reduce function, then carrying out a different set of operations on the last iteration of the reduce …
python - How does reduce function work? - Stack Overflow
Feb 2, 2012 · reduce(function, sequence) returns a single value constructed by calling the (binary) function on the first two items of the sequence, then on the result and the next item, and so on. …
What are Python's equivalent of Javascript's reduce(), map(), and ...
Jun 30, 2015 · What are Python's equivalent of the following (Javascript): function wordParts (currentPart, lastPart) { return currentPart+lastPart; } word = ['Che', 'mis', 'try ...
Why is a combiner needed for reduce method that converts type …
There is no reduce version that takes two different types without a combiner since it can't be executed in parallel (not sure why this is a requirement). The fact that accumulator must be …
How to early break reduce () method? - Stack Overflow
Mar 22, 2016 · A couple of comments that "this doesn't do what reduce does", which is true, but it can. Here's an example of using every in a similar manner to reduce that returns as soon as …
How to use array reduce with condition in JavaScript?
Jul 20, 2017 · reduce goes through each item and expects a return value. If you don't return a value, it will be undefined . So after the third iteration, the sum will be undefined .
TypeScript and array reduce function - Stack Overflow
Dec 30, 2012 · Reduce() is.. The reduce() method reduces the array to a single value. The reduce() method executes a provided function for each value of the array (from left-to-right). …
r - Understand the `Reduce` function - Stack Overflow
Reduce takes a binary function and a list of data items and successively applies the function to the list elements in a recursive fashion. For example: Reduce(intersect,list(a,b,c)) is the same …
JavaScript array .reduce with async/await - Stack Overflow
async reduce can start accumulating from the moment the first item is done, whereas a reduce after Promise.allSettled is blocked until all promises are fulfilled. This could make a difference …
What does the Array method `reduce` do? - Stack Overflow
Taken from here, arr.reduce() will reduce the array to a value, specified by the callback. In your case, it will basically sum the elements of the array. Steps: Call function on 0,1 ( 0 is the initial …
Using reduce () to find min and max values? - Stack Overflow
We can accomplish this by declaring an empty array as the accumulator value for the reduce function, then carrying out a different set of operations on the last iteration of the reduce …
python - How does reduce function work? - Stack Overflow
Feb 2, 2012 · reduce(function, sequence) returns a single value constructed by calling the (binary) function on the first two items of the sequence, then on the result and the next item, and so on. …
What are Python's equivalent of Javascript's reduce(), map(), and ...
Jun 30, 2015 · What are Python's equivalent of the following (Javascript): function wordParts (currentPart, lastPart) { return currentPart+lastPart; } word = ['Che', 'mis', 'try ...
Why is a combiner needed for reduce method that converts type …
There is no reduce version that takes two different types without a combiner since it can't be executed in parallel (not sure why this is a requirement). The fact that accumulator must be …
How to early break reduce () method? - Stack Overflow
Mar 22, 2016 · A couple of comments that "this doesn't do what reduce does", which is true, but it can. Here's an example of using every in a similar manner to reduce that returns as soon as …
How to use array reduce with condition in JavaScript?
Jul 20, 2017 · reduce goes through each item and expects a return value. If you don't return a value, it will be undefined . So after the third iteration, the sum will be undefined .
TypeScript and array reduce function - Stack Overflow
Dec 30, 2012 · Reduce() is.. The reduce() method reduces the array to a single value. The reduce() method executes a provided function for each value of the array (from left-to-right). …
r - Understand the `Reduce` function - Stack Overflow
Reduce takes a binary function and a list of data items and successively applies the function to the list elements in a recursive fashion. For example: Reduce(intersect,list(a,b,c)) is the same …
JavaScript array .reduce with async/await - Stack Overflow
async reduce can start accumulating from the moment the first item is done, whereas a reduce after Promise.allSettled is blocked until all promises are fulfilled. This could make a difference …
