Results 21 to 30 of about 1,466,157 (309)

Smarandache Sequences: Explorations and Discoveries with a Computer Algebra System [PDF]

, 2000
Study of Smarandache sequences of numbers, and related problems, via a Computer Algebra. Sy::;tem.
Gouveia, Paulo, Torres, Delfim
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SymPy: symbolic computing in Python [PDF]

PeerJ Computer Science, 2017
SymPy is an open source computer algebra system written in pure Python. It is built with a focus on extensibility and ease of use, through both interactive and programmatic applications.
Aaron Meurer, Christopher P. Smith, Mateusz Paprocki, Ondřej Čertík, Sergey B. Kirpichev, Matthew Rocklin, AMiT Kumar, Sergiu Ivanov, Jason K. Moore, Sartaj Singh, Thilina Rathnayake, Sean Vig, Brian E. Granger, Richard P. Muller, Francesco Bonazzi, Harsh Gupta, Shivam Vats, Fredrik Johansson, Fabian Pedregosa, Matthew J. Curry, Andy R. Terrel, Štěpán Roučka, Ashutosh Saboo, Isuru Fernando, Sumith Kulal, Robert Cimrman, Anthony Scopatz   +26 more
doaj   +2 more sources

Physical Acceptability of Isolated, Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein's Equations [PDF]

, 1998
We ask the following question: Of the exact solutions to Einstein's equations extant in the literature, how many could represent the field associated with an isolated static spherically symmetric perfect fluid source?
Adams, Adams, Adler, Adler, Baumgarte, Bayin, Buchdahl, Buchdahl, Buchdahl, Buchdahl, Buchdahl, Buchdahl, Burlankov, Caporaso, de Sitter, de Sitter, Duorah, Durgapal, Durgapal, Durgapal, Durgapal, Durgapal, Durgopal, Einstein, Ellis, Finch, Finch, Glass, Goldman, Hajj-Boutros, Heintzmann, Ibanez, Kayll Lake, Klein, Korkina, Korkina, Korkina, Korkina, Kottler, Kramer, Krori, Krori, Krori, Kuchowicz, Kuchowicz, Kuchowicz, Kuchowicz, Kuchowicz, Kuchowicz, Kuchowicz, Kuchowicz, Kuchowicz, Kuchowicz, Kuchowicz, Kuchowicz, Kuchowicz, Lake, Leibovitz, M.S.R. Delgaty, Matese, Mehra, Musgrave, Nariai, Nariai, Narlikar, Narlikar, Pant, Pant, Pant, Pant, Patwardhan, Rendall, Roy, Schwarzchild, Schwarzschild, Stewart, Takeno, Tolman, Vlasenko, Whitman, Whitman, Whitman, Whittaker, Wyman   +83 more
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An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular

Complexity, 2021
A complete classification of simple function germs with respect to Lipschitz equivalence over the field of complex numbers ℂ was given by Nguyen et al. The aim of this article is to implement a classifier in terms of easy computable invariants to compute
Yanan Liu, Muhammad Ahsan Binyamin, Adnan Aslam, Minahal Arshad, Chengmei Fan, Hassan Mahmood, Jia-Bao Liu   +6 more
doaj   +1 more source

Generalized power expansions in cosmology [PDF]

, 1998
It is given an algorithm to obtain generalized power asymptotic expansions of the solutions of the Einstein equations arising for several homogeneous cosmological models. This allows to investigate their behavior near the initial singularity or for large
Ablowitz, Aguirregabiria, Alejandro S. Jakubi, Campell, Chimento, Chimento, Chimento, Chimento, Chimento, Chimento, Davies, Easther, Fradkin, Ince, Maartens, Maartens, Maartens, Ozer, Pavón, Reuter, Salam, Yoshida, Zakari, Zimdahl   +23 more
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Equation generator for equation-of-motion coupled cluster assisted by computer algebra system

AIP Advances, 2023
We present an equation generator algorithm that utilizes second-quantized operators in normal order with respect to a correlated or non-correlated reference and the corresponding Wick theorem.
Raúl Quintero-Monsebaiz, Pierre-François Loos   +1 more
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Feedback Control Techniques for a Discrete Dynamic Macroeconomic Model with Extra Taxation: An Algebraic Algorithmic Approach

Mathematics, 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

On a dispersion curve of a waveguide filled with inhomogeneous substance

Discrete and Continuous Models and Applied Computational Science, 2022
The paper discusses the relationship between the modes traveling along the axis of the waveguide and the standing modes of a cylindrical resonator, and shows how this relationship can be explored using the Sage computer algebra system.
Oleg K. Kroytor, Mikhail D. Malykh
doaj   +1 more source

Non-linear estimation is easy [PDF]

, 2007
Non-linear state estimation and some related topics, like parametric estimation, fault diagnosis, and perturbation attenuation, are tackled here via a new methodology in numerical differentiation.
Fliess, Michel, Join, Cédric, Sira-Ramirez, Hebertt   +2 more
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Methods, algorithms and programs of computer algebra in problems of registration and analysis of random point structures

Компьютерная оптика, 2023
An original approach to solving difficult time-consuming problems of registration and analysis of random point images is described. The approach is based on the development and application of high-performance specialized computer algebra systems.
A.L. Reznik, A.A. Soloviev
doaj   +1 more source