Torthaí cuardaigh - "function approximation"

Many differential equations that emerge from modeling physical phenomena do not always possess well-known analytical solutions. Additionally, wavelets have attracted considerable attention from both theoretical and applied researchers in recent decades. In this study, we introduce the Galerkin meth...

Cur síos iomlán

The paper discusses issues connected with the use of an artificial neural network (ANN) to approximate the experimental data. One of the problems in the development of the ANN is the choice of an appropriate activation function for neurons of the hidden layer and adjusting the parameters of the func...

Cur síos iomlán

Let $G_{k}$ be defined as $G_{k} = \langle a, b;\ a^{-1}ba = b^{k} \rangle$, where $k \ne 0$. It is known that, if $p$ is some prime number, then $G_{k}$ is residually a finite $p$-group if and only if $p \mid k - 1$. It is also known that, if $p$ and $q$ are primes not dividing $k - 1$, $p <...

Cur síos iomlán

This study proposes a decoupling approach based on first-order exponential function approximation for reliability-based optimization. It establishes an explicit relationship between the failure probability and design parameters within only one implementation of reliability analysis, without the repe...

Cur síos iomlán

Schröder based series for the principal and negative one branches of the Lambert <i>W</i> function are defined; the series are generic and are in terms of an initial, arbitrary, approximating function. Upper and lower bounds for the initial approximating functions, consistent with conver...

Cur síos iomlán

Introduction: the methods of representation of functions given approximately by their singular integrals in relation to approximation problems and numerical methods for solving boundary value problems for differential equations are Investigated. In such a statement, the problem belongs to the class...

Cur síos iomlán

Introduction: the presented work continues the authors' research on the methods of the theory of approximation of functions of a real variable, given approximately, on the basis of their representation by integrals. Materials and methods of research: the paper studies the methods of representat...

Cur síos iomlán