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Titlebook: Computer Algebra in Scientific Computing; 25th International W François Boulier,Matthew England,Evgenii V. Vorozh Conference proceedings 20

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Generating Elementary Integrable Expressions,ub-field of Symbolic Integration. However, machine learning models require an abundance of data for them to be successful and there exist few benchmarks on the scale required. While methods to generate new data already exist, they are flawed in several ways which may lead to bias in machine learning
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,How to Automatise Proofs of Operator Statements: Moore–Penrose Inverse; A Case Study,ynomials. Furthermore, we present our new . package ., which offers functionality for automatising such computations. We aim to provide a practical understanding of our approach and the software through examples, while also explaining the completeness of the method in the sense that it allows to fin
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,A Modular Algorithm for Computing the Intersection of a One-Dimensional Quasi-Component and a Hyper common zeros (encoded as regular chains) of a quasi-component and a hypersurface. As a result, decomposing a polynomial system into regular chains can be achieved by repeated calls to the Intersect procedure. Expression swell in Intersect has long been observed in the literature. When the regular c
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,Root-Squaring for Root-Finding,os are the .th powers of the zeros of an input polynomial .(.) for . The iterations have been the main tool for univariate polynomial root-finding in the 19th century and well beyond but became obsolete later because of severe numerical stability problems observed already in a few iterations. To cir
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,Symbolic-Numerical Algorithm for Solving the Problem of Heavy Ion Collisions in an Optical Model wiof the optical model (OM) described by a second-order ordinary differential equation (ODE) with a complex-valued potential and regular boundary conditions. The complex-valued potential consists of the known real part, which is a sum of the nuclear potential, the Coulomb potential, and the centrifuga
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