Results 1 to 10 of about 40,102 (181)

Variable Ordering Selection for Cylindrical Algebraic Decomposition with Artificial Neural Networks [PDF]

open access: yesLecture Notes in Computer Science, 2020
Cylindrical algebraic decomposition (CAD) is a fundamental tool in computational real algebraic geometry. Previous studies have shown that machine learning (ML) based approaches may outperform traditional heuristic ones on selecting the best variable ...
Changbo Chen, Chen Changbo
exaly   +3 more sources

Stability analysis of heterogeneous oligopoly games of increasing players: A computational approach. [PDF]

open access: yesPLoS ONE
In this paper, we study an oligopolistic market endowed with an isoelastic demand function and a quadratic cost function, where heterogeneous firms coexist and produce the same product.
Ruirui Hou, Xiaoliang Li, Wenshuang Wan
doaj   +2 more sources

Dynamics of a Cournot game with bounded rational firms and various scale effects. [PDF]

open access: yesPLoS ONE
In this paper, we focus on a dynamic Cournot game in the market with a nonlinear (isoelastic) demand function. In our model, there are N competing firms featured by nonlinear cost functions, which enhances our model's resemblance to real-world scenarios.
Xiaoliang Li, Bo Li, Li Su
doaj   +2 more sources

An analytical solution of boundary problems of shell deformation mechanics [PDF]

open access: yesMATEC Web of Conferences, 2022
This paper proposes an algorithm for the analytical (with a controllable error) solution of boundary-value problems of shell deformation mechanics. Decomposition of partial differential equations is per-formed.
Vinogradov Yuri, Kashfutdinov Bulat
doaj   +1 more source

Reasoning Method between Polynomial Error Assertions

open access: yesInformation, 2021
Error coefficients are ubiquitous in systems. In particular, errors in reasoning verification must be considered regarding safety-critical systems. We present a reasoning method that can be applied to systems described by the polynomial error assertion ...
Peng Wu   +3 more
doaj   +1 more source

Polynomial bivariate copulas of degree five: characterization and some particular inequalities

open access: yesDependence Modeling, 2021
Bivariate polynomial copulas of degree 5 (containing the family of Eyraud-Farlie-Gumbel-Morgenstern copulas) are in a one-to-one correspondence to certain real parameter triplets (a, b, c), i.e., to some set of polynomials in two variables of degree 1: p(
Šeliga Adam   +5 more
doaj   +1 more source

COMPUTING INTEGRALS OVER POLYNOMIALLY DEFINED REGIONS AND THEIR BOUNDARIES IN 2 AND 3 DIMENSIONS

open access: yesAsia-Pacific Journal of Information Technology and Multimedia, 2012
This study uses the cylindrical algebraic decomposition algorithms implemented in Mathematica to produce procedures to analytically compute integrals over polynomially defined regions and their boundaries in two and three dimensions ...
Michael Wester   +2 more
doaj   +1 more source

AUTOMATED LEARNING ASSISTANT FOR VECTOR CALCULUS: INTEGRATION OVER PLANAR

open access: yesAsia-Pacific Journal of Information Technology and Multimedia, 2012
This paper presents a computer learning assistant ILMEV (Interactive Learning -Mathematica Enhanced Vector calculus), that helps students understand the theory and applications of integration in vector calculus.
Yuzita Yaacob   +2 more
doaj   +1 more source

Application of the method of spline-collocations to the solution of dynamic and static problems for structurally inhomogeneous cylindrical shells

open access: yesДоповiдi Нацiональної академiї наук України, 2019
The method of spline collocation, in contrast to the use of double trigonometric series for the approximation of the displacements of points of the middle surface of a shell, allows us to significantly expand the class of applied problems and, in some ...
P.Z. Lugovyy   +2 more
doaj   +1 more source

Analysis of ultimate limit state of spherical shell / Sferinio kevalo saugos ribinio būvio analizė

open access: yesEngineering Structures and Technologies, 2013
The article presents ultimate limit state analysis and limit load problem of a symmetrically loaded flat spherical shell. Physical parameters (modulus of elasticity, Poisson's ratio), shape, dimensions of the construction, load and its adding position ...
Tomas Ulitinas   +2 more
doaj   +1 more source

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