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Computer algebra symbolic and algebraic computation [PDF]

open access: bronzeACM SIGSAM Bulletin, 1982
Computer algebra is an alternative and complement to numerical mathematics. Its importance is steadily increasing. This volume is the first systematic and complete treatment of computer algebra. It presents the basic problems of computer algebra and the best algorithms now known for their solution with their mathematical foundations, and complete ...
B. Buchberger   +3 more
openaire   +2 more sources

Symbolic and algebraic computations in multidimensional systems theory [PDF]

open access: bronzeACM SIGSAM Bulletin, 1984
This article has been prepared as a response to Professor B. Buchberger's invitation to each member of the program committee of EUROCAL 85 to write a short paper on his or her view of the future of the symbolic and algebraic computation, especially within the context of the individual's special field of interest.
N.K. Bose
openaire   +2 more sources

Symbolic Computation of the Lie Algebra se(3) of the Euclidean Group SE(3): An Application to the Infinitesimal Kinematics of Robot Manipulators [PDF]

open access: goldMathematics
This paper reports an application of the Lie algebra se(3) of the Euclidean group SE(3), which is isomorphic to the theory of screws in the velocity and acceleration analyses of serial manipulators.
Jaime Gallardo-Alvarado   +3 more
doaj   +2 more sources

Parallel systems in symbolic and algebraic computation

open access: green, 2002
This report describes techniques to exploit distributed memory massively parallel supercomputers to satisfy the peak memory demands of some very large computer algebra problems (over 10 GB). The memory balancing is based on a randomized hashing algorithm for dynamic data distribution.
’Mantŝika Matooane
openaire   +2 more sources

Symbolic computation in algebra, geometry, and differential equations

open access: hybridInformation and Computation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Franz Winkler
openaire   +3 more sources

A new generation of symbolic and algebraic computation systems [PDF]

open access: bronzeACM SIGSAM Bulletin, 1984
When we think of the future, it comes to our mind the new generation of computer systems that will become a reality. The Fifth Generation of Computer Systems is the central object goal of Japan' s ICOT project and is now being also considered as an object by other research and development worldknown projects.
Regina Llopis de Trias
openaire   +2 more sources

Symbolic and User-friendly Geometric Algebra Routines ( SUGAR ) for Computations in Matlab [PDF]

open access: greenACM Transactions on Mathematical Software
Geometric Algebra (GA) provides a unified, compact mathematical framework for geometric computing, simplifying relations typically handled with more complex tools like matrix multiplication. In fields like robotics, GA replaces conventional coordinate-based approaches with the multiplication of special elements called rotors, offering greater ...
Manel Velasco   +3 more
  +7 more sources

Symbolic Algebraic Discrete Systems : Theory and Computation

open access: green, 1995
Discrete systems and properties of these are defined at a behavioral level independently of the actual representation. Hence we can use any representation that is useful for our purposes. Ultimately the representation is some form of relation. For analysis and design computations on discrete systems it is crucial that we can manipulate fairly complex ...
Roger Germundsson
openaire   +2 more sources

Visualizing a Cubic Linkage through the Use of CAS and DGS

open access: yesMathematics, 2022
Our goal is to discuss the different issues that arise when attempting to visualize a joints-and-bars cube through GeoGebra, a widespread program that combines dynamic geometry (DGS) and computer algebra systems (CAS). As is standard in the DGS framework,
Tomás Recio   +3 more
doaj   +1 more source

New Exact Solutions of Landau-Ginzburg-Higgs Equation Using Power Index Method

open access: yesJournal of Function Spaces, 2023
In the present study, the optimality approach is applied to find the exact solution of the Landau-Ginzburg-Higgs Equation (LGHE) using new transformations.
Khalil Ahmad   +3 more
doaj   +1 more source

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