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Building a symbolic computer algebra toolbox to compute 2D Fourier transforms in polar coordinates [PDF]

open access: yesMethodsX, 2015
The development of a symbolic computer algebra toolbox for the computation of two dimensional (2D) Fourier transforms in polar coordinates is presented. Multidimensional Fourier transforms are widely used in image processing, tomographic reconstructions ...
Edem Dovlo, Natalie Baddour
doaj   +4 more sources

Incorporating background knowledge in symbolic regression using a computer algebra system [PDF]

open access: yesMachine Learning: Science and Technology, 2023
Symbolic regression (SR) can generate interpretable, concise expressions that fit a given dataset, allowing for more human understanding of the structure than black-box approaches.
Charles Fox   +4 more
doaj   +2 more sources

Computer algebra symbolic and algebraic computation

open access: yesACM 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 ...
Bruno Buchberger   +3 more
openaire   +2 more sources

Symbolic computation in algebra, geometry, and differential equations

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

Divider Verification Using Symbolic Computer Algebra and Delayed Don't Care Optimization

open access: yesFormal Methods in Computer-Aided Design, 2022
Recent methods based on Symbolic Computer Al-gebra (SCA) have shown great success in formal verification of multipliers and - more recently - of dividers as well.
Alexander Konrad   +4 more
semanticscholar   +1 more source

Not another computer algebra system: Highlighting wxMaxima in calculus [PDF]

open access: yesMathematics, 2021
This article introduces and explains a computer algebra system (CAS) wxMaxima for Calculus teaching and learning at the tertiary level. The didactic reasoning behind this approach is the need to implement an element of technology into classrooms to ...
N. Karjanto, H. S. Husain
semanticscholar   +1 more source

The Summation Package Sigma: Underlying Principles and a Rhombus Tiling Application [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2004
We give an overview of how a huge class of multisum identities can be proven and discovered with the summation package Sigma implemented in the computer algebra system Mathematica. General principles of symbolic summation are discussed. We illustrate the
Carsten Schneider
doaj   +3 more sources

Feedback Control Techniques for a Discrete Dynamic Macroeconomic Model with Extra Taxation: An Algebraic Algorithmic Approach

open access: yesMathematics, 2023
In this paper, a model matching feedback law design technique is applied to a macroeconomical model. We calculate, using computational algebra methodology, which paths of government expenditure and extra taxation will lead the system to a desired dynamic
Stelios Kotsios
doaj   +1 more source

Computer Algebra in JULIA [PDF]

open access: yesProgramming and computer software, 2021
Recently, the place of the main programming language for scientific and engineering computations has been little by little taken by Julia. Some users want to work completely within the Julia ecosystem like they work within the Python ecosystem. There are
Dmitry S. Kulyabov, A. V. Korolkova
semanticscholar   +1 more source

calculus: High-Dimensional Numerical and Symbolic Calculus in R

open access: yesJournal of Statistical Software, 2022
The R package calculus implements C++-optimized functions for numerical and symbolic calculus, such as the Einstein summing convention, fast computation of the LeviCivita symbol and generalized Kronecker delta, Taylor series expansion, multivariate ...
Emanuele Guidotti
doaj   +1 more source

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