STAFF APPRAISAL USING A BINARY REGRESSION by A. A. Zinchenko

“…To carry out the research the author chose three types of models - logit, probit, gompit.To estimate the parameters and the quality of the constructed models the author wrote the code in Maple computer algebra system. According to the results of the research the best predicting model was chosen.…”
Get full text

Semantic-based retrieval for mathematical knowledge by Sidath Harshanath Samarasinghe

Get full text

Algorithmic algebraic geometry and flux vacua by Gray, J, He, Y, Lukas, A

“…The issue of finding vacua of such systems, both supersymmetric and non-supersymmetric, is mapped into a problem in computational algebraic geometry. Using recent developments in computer algebra, the problem can then be rapidly dealt with in a completely algorithmic fashion. …”

Groups and nilpotent Lie rings whose order is the sixth power of a prime by Newman, M, O'Brien, E, Vaughan-Lee, M

“…Public access to the group presentations is provided via a database distributed with computer algebra systems. © 2003 Elsevier Inc. All rights reserved.…”

On the equations defining some Hilbert schemes by Hauenstein, JD, Manivel, L, Szendroi, B

“…While the explicit equations we find are controlled in a precise way by the representation theory of SL_3, our arguments also rely on computer algebra.…”

Stumbling around in the dark: lessons from everyday mathematics by Martin, U

“…In this essay we look at four case studies to see what we can learn about the everyday practice of mathematics: the polymath experiments for the collaborative production of mathematics, which tell us about mathematicians attitudes to working together in public; the minipolymath experiments in the same vein, from which we can examine in finer grained detail the kinds of activities that go on in developing a proof; the mathematical questions and answers in math overflow, which tell us about mathematical-research-in-the-small; and finally the role of computer algebra, in particular the GAP system, in the production of mathematics. …”

MAGNETOHYDRODYNAMIC EQUATIONS (MHD) GENERATION CODE by Francisco Frutos Alfaro, Rodrigo Carboni Méndez

“…The program uses the free computer algebra system software REDUCE. This software has a package called EXCALC, which is an exterior calculus program. …”
Get full text

The method of double chains for largest families with excluded subposets by Peter Burcsi, Daniel T. Nagy

Get full text

Laguerre-Type Bernoulli and Euler Numbers and Related Fractional Polynomials by Paolo Emilio Ricci, Rekha Srivastava, Diego Caratelli

“…We show some examples of these generalized mathematical entities, which were derived using the computer algebra system Mathematica© (latest v. 14.0).…”
Get full text

Symbolic Methods for Analysing Bifurcations and Chaos of Two Five-Parameter Families of Planar Quadratic Maps by Sarbast H. Mikaeel, Bewar H. Othman

“…We are going to use computer algebra methods to clarify how to detect the stability of equilibrium points to analyze chaos and also the bifurcation of planar maps. …”
Get full text

OPTIMIZATION AND APPROXIMATION OF NC POLYNOMIALS WITH SUMS OF SQUARES by Kristijan Cafuta, Igor Klep

“…The implementation of these procedures in our computer algebra system NC-SOStools is presented and several examples pertaining to matrix inequalities are given to illustrate the results.…”
Get full text

Fractional Bernoulli and Euler Numbers and Related Fractional Polynomials—A Symmetry in Number Theory by Diego Caratelli, Pierpaolo Natalini, Paolo Emilio Ricci

“…We demonstrate some examples of these generalized mathematical entities, which we derive using the computer algebra system Mathematica©.…”
Get full text

Solving System of Linear Congruence Equations over some Rings by Decompositions of Modules by Mahmood Behboodi1, Shadi Asgari, Ali Moradzadeh-Dehkordi, Amir Hashemi1

“…Further, we investigate the application of computer algebra techniques (Gröbner bases) in this context whenever R = Z..…”
Get full text

Examples of Expansions in Fractional Powers, and Applications by Diego Caratelli, Pierpaolo Natalini, Paolo Emilio Ricci

“…To verify our findings, we conduct numerical tests using the computer algebra program Mathematica<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mi>©</mi></msup></semantics></math></inline-formula>.…”
Get full text

Specific "scientific" data structures, and their processing by Jerzy Karczmarczuk

“…Such data is often used in a [semi-]numerical setting, not necessarily "symbolic", appropriate for the computer algebra packages. Modules adapted to such data may be "just libraries", but often they become specific, embedded sub-languages, typically mapped into object-oriented frameworks, with overloaded mathematical operations. …”
Get full text

calculus: High-Dimensional Numerical and Symbolic Calculus in R by Emanuele Guidotti

“…It implements the symbolic counterpart of the numerical methods whenever possible, without depending on external computer algebra systems. Except for Rcpp, the package has no strict dependencies in order to provide a stable self-contained toolbox that invites re-use.…”
Get full text

Utilization of mathematical software packages in chemical engineering research by Lee, Ang Wee, Ghasem, Nayef Mohamed, Hussain, Mohd Azlan

“…Among the programming languages available, computer algebra systems (CAS) appear to be a good choice in chemical engineering can be applied easily. …”

COMPUTER-AIDED DESIGN OF TYPE C4: COMPRESSOR BLADE PROFILE by Leonid V Vinogradov, Vladimir K Mamaev, Petr P Oshcepkov

“…All calculations and graphical representations were made in the computer algebra system Mathcad. For the calculation and graphical representation the centreline is approximated with three nonlinear segments in the form of second order Bezier curve. …”
Get full text

On a set of tests for numerical methods of integrating differential equations, based on the Calogero system by Mikhail D. Malykh, Wang Shiwei, Yu Ying

“…Based on the completely integrable Calogero dynamical system, which describes the one-dimensional many-body problem, a tool for testing difference schemes has been developed and implemented in the original fdm package integrated into the Sage computer algebra system. This work shows how the developed tools can be used to examine the behavior of numerical solutions near the collision point and how to study the conservatism of the difference scheme. …”
Get full text

تحليل الاستقرار لنظام فولتيرا – لوتكا بنمو لوجيستي باستخدام طريقتي ليابونوف by أحمد الكردي

“…Many numerical simulations have been carried out on computer algebra system: Maple and Matlab to illustrate the behavior of the considered system for a long time. …”
Get full text