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An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular
Published 2021-01-01“…The aim of this article is to implement a classifier in terms of easy computable invariants to compute the type of the Lipschitz simple function germs without computing the normal form in the computer algebra system Singular.…”
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Possibilities of using immersive learning based on abstract highly formalized mathematical models for training future mathematics teachers
Published 2024-12-01Subjects: Get full text
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A Computational Approach to the Perimeter-Area Inequality in a Triangle
Published 2025-01-01Subjects: Get full text
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Limit Cycles in a Cubic Kolmogorov System with Harvest and Two Positive Equilibrium Points
Published 2014-01-01“…With the help of computer algebra system MATHEMATICA, we prove that five limit cycles can be bifurcated simultaneously from the two critical points (1, 1) and (2, 2), respectively, in the first quadrant. …”
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Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations
Published 2019-01-01“…We aim to construct exact and explicit solutions to a generalized Bogoyavlensky-Konopelchenko equation through the Maple computer algebra system. The considered nonlinear equation is transformed into a Hirota bilinear form, and symbolic computations are made for solving both the nonlinear equation and the corresponding bilinear equation. …”
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Algebraic Verification Method for SEREs Properties via Groebner Bases Approaches
Published 2013-01-01“…This work presents an efficient solution using computer algebra system to perform linear temporal properties verification for synchronous digital systems. …”
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h-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over R or C
Published 2018-01-01“…Since its computation requires only simple algebraic operations, it does not require a computer algebra system to be programmed.…”
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On the Number of Conjugate Classes of Derangements
Published 2021-01-01“…Although we may obtain the value of hn in some computer algebra system, it is still meaningful to find an efficient way to calculate the approximate value, especially in engineering, since most people are familiar with neither programming nor CAS software. …”
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Limit Cycles and Analytic Centers for a Family of 4n-1 Degree Systems with Generalized Nilpotent Singularities
Published 2015-01-01“…With the aid of computer algebra system Mathematica 8.0 and by the integral factor method, for a family of generalized nilpotent systems, we first compute the first several quasi-Lyapunov constants, by vanishing them and rigorous proof, and then we get sufficient and necessary conditions under which the systems admit analytic centers at the origin. …”
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Computation of symmetries of rational surfaces
Published 2024-11-01“…The algorithms have been implemented in the computer algebra system Maple, and the implementations have been made public. …”
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External barycentric coordinates for arbitrary polygons and an approximate method for calculating them
Published 2024-12-01“…The algorithmic features of the implementation of an approximate analytical solution with a structured representation of pseudocodes of programs for calculating external barycentric coordinates, formed mainly for the MathCad computer algebra system, are clarified. The efficiency is demonstrated by specific examples. …”
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Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense
Published 2025-03-01“…With the help of Maple, a robust computer algebra system, we generate generalized solitons and examine their dynamic behavior by exploring parameter values and their interrelations. …”
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Computer algebra and applications
Published 2002-12-01“… Short review of computer algebra systems Macsyma, Maple, Derive, Mathematica, MuPad, Maxima. …”
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RETRACTED ARTICLE: Analytical investigations of propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide by three computational ideas
Published 2024-03-01“…This method is based on the general properties of the nonlinear model of expansion method with the support of the complete discrimination system for polynomial method and computer algebraic system (AS) such as Maple or Mathematica. …”
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Methods, algorithms and programs of computer algebra in problems of registration and analysis of random point structures
Published 2023-12-01“…The approach is based on the development and application of high-performance specialized computer algebra systems. Three software packages have been created specifically for carrying out equivalent analytical transformations on a computer. …”
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CyberUnits Bricks: An Implementation Study of a Class Library for Simulating Nonlinear Biological Feedback Loops
Published 2024-08-01“…Currently, available approaches for modelling and simulation comprise basically domain-specific environments, toolkits for computer algebra systems and custom software written in universal programming languages for a specific purpose, respectively. …”
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