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

