Results 21 to 30 of about 100,866 (281)

Hybridization of Block-Pulse and Taylor Polynomials for Approximating 2D Fractional Volterra Integral Equations

Fractal and Fractional, 2022
This paper proposes an accurate numerical approach for computing the solution of two-dimensional fractional Volterra integral equations. The operational matrices of fractional integration based on the Hybridization of block-pulse and Taylor polynomials ...
Davood Jabari Sabegh, Reza Ezzati, Omid Nikan, António M. Lopes, Alexandra M. S. F. Galhano   +4 more
doaj   +1 more source

Recursion Relations for Chromatic Coefficients for Graphs and Hypergraphs

Discussiones Mathematicae Graph Theory, 2022
We establish a set of recursion relations for the coefficients in the chromatic polynomial of a graph or a hypergraph. As an application we provide a generalization of Whitney’s broken cycle theorem for hypergraphs, as well as deriving an explicit ...
Durhuus Bergfinnur, Lucia Angelo
doaj   +1 more source

Optimizing loss functions through multi-variate taylor polynomial parameterization [PDF]

Proceedings of the Genetic and Evolutionary Computation Conference, 2021
Metalearning of deep neural network (DNN) architectures and hyperparameters has become an increasingly important area of research. Loss functions are a type of metaknowledge that is crucial to effective training of DNNs, however, their potential role in metalearning has not yet been fully explored. Whereas early work focused on genetic programming (GP)
Gonzalez, Santiago, Miikkulainen, Risto
openaire   +2 more sources

Universal Taylor series, conformal mappings and boundary behaviour [PDF]

, 2013
A holomorphic function f on a simply connected domain {\Omega} is said to possess a universal Taylor series about a point in {\Omega} if the partial sums of that series approximate arbitrary polynomials on arbitrary compacta K outside {\Omega} (provided ...
Gardiner, Stephen J.
core   +4 more sources

A numerical method for solving continuous population models for single and interacting species

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
In thisstudy, a numerical approach is presented to obtain the approximate solutions ofcontinuous population models for single and interacting species.
Elçin Gökmen, Elçin Çelik
doaj   +1 more source

The Interlace Polynomial

, 2016
In this paper, we survey results regarding the interlace polynomial of a graph, connections to such graph polynomials as the Martin and Tutte polynomials, and generalizations to the realms of isotropic systems and delta-matroids.Comment: 18 pages, 5 ...
Morse, Ada
core   +1 more source

Supersymmetric Adler-Bardeen anomaly in N=1 super-Yang-Mills theories [PDF]

, 2008
We provide a study of the supersymmetric Adler--Bardeen anomaly in the $\N=1, d=4,6,10$ super-Yang--Mills theories. We work in the component formalism that includes shadow fields, for which Slavnov--Taylor identities can be independently set for both ...
Baulieu, Laurent, Martin, Alexis
core   +5 more sources

Polynomial extensions of the Milliken-Taylor Theorem [PDF]

Transactions of the American Mathematical Society, 2014
Summary: \textit{Milliken-Taylor systems} are some of the most general infinitary configurations that are known to be partition regular. These are sets of the form \(\mathrm{MT}(\langle a_i\rangle _{i=1}^m,\langle x_n\rangle _{n=1}^\infty )= \{\sum _{i=1}^m a_i\sum _{t\in F_i}\,x_t:F_1,F_2,\ldots , F_m\) are increasing finite nonempty subsets of ...
Bergelson, Vitaly, Hindman, Neil, Williams, Kendall   +2 more
openaire   +1 more source

The use of pseudoresiduals in the study of convergence of unstable difference boundary value problems for linear nonhomogeneous ordinary second-order differential equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
The paper considers the previously proposed method of numerical integration using the matrix calculus in the study of boundary value problems for nonhomogeneous linear ordinary differential equations of the second order with variable coefficients ...
Vladimir N. Maklakov
doaj   +1 more source

Estimation of the order of the matrix method approximation of numerical integration of boundary-value problems for the second order inhomogeneous linear ordinary differential equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
Using the first three terms of Taylor expansion of the required function in the approximate derivative by finite differences leads to the second order approximation of the traditional numerical quadrature method of boundary value problems for linear ...
Vladimir N Maklakov
doaj   +1 more source