Results 21 to 30 of about 550,724 (243)

On an Integral Equation with the Riemann Function Kernel

open access: yesAxioms, 2022
This paper is concerned with a study of a special integral equation. This integral equation arises in many applied problems, including transmutation theory, inverse scattering problems, the solution of singular Sturm–Liouville and Shrödinger equations, and the representation of solutions of singular Sturm–Liouville and Shrödinger equations.
Sergei M. Sitnik, Abdul Ahad Arian
openaire   +3 more sources

Coagulation‐Fragmentation Equations with Multiplicative Coagulation Kernel and Constant Fragmentation Kernel [PDF]

open access: yesCommunications on Pure and Applied Mathematics, 2021
AbstractWe study a critical case of coagulation‐fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel. Our method is based on the study of viscosity solutions to a new singular Hamilton‐Jacobi equation, which results from applying the Bernstein transform to the original coagulation‐fragmentation equation.
Tran, Hung V., Van, Truong-Son
openaire   +3 more sources

IRT Observed-score Kernel Equating

open access: yes, 2014
Item response theory (IRT) observed-score kernel equating is described for thenon-equivalent groups with anchor test equating design using either chain equating orpost-stratification equating.
Andersson, Björn, Wiberg, Marie
core   +2 more sources

On the Pseudo-Resolvent to the Kernel of an Integral Equations [PDF]

open access: yesTransactions of the American Mathematical Society, 1912
The method developed by FredholmI for the solution of a non-homogeneous linear integral equation is comparatively simple in case the corresponding homogeneous equation admits no solutions not identically zero; in terms of the determinant and the first minor for the kernel of the given equation a resolvent function is defined, by means of which the ...
openaire   +1 more source

Scattering kernels for the muon diffusion equation [PDF]

open access: yesPhysical Review A, 1988
Diffusion of muonic hydrogen atoms in gaseous hydrogen is studied. Scattering kernels are derived from the kinematics of an inelastic binary collision. The effect of rotations of the hydrogen molecules is treated by defining and computing an effective inelastic energy transfer Q/sub eff/.
Rusjan, Edmond, Zweifel, Paul F.
openaire   +2 more sources

A Comparison of Covariates, Equating Designs, and Methods in Equating TIMSS 2019 Science Tests [PDF]

open access: yes, 2023
This research aimed to compare the equated scores by the methods based on classical test theory (CTT) and kernel equating, using covariates design (NEC) and anchor test design (NEAT).
Sezer Başaran, Elif   +5 more
core   +1 more source

Kernel estimates for nonautonomous Kolmogorov equations

open access: yesAdvances in Mathematics, 2016
Using time dependent Lyapunov functions, we prove pointwise upper bounds for the heat kernels of some nonautonomous Kolmogorov operators with possibly unbounded drift and diffusion coefficients.
M. Kunze   +2 more
openaire   +4 more sources

Item Response Theory Observed-Score Kernel Equating

open access: yes, 2017
Item response theory (IRT) observed-score kernel equating is introduced for the non-equivalent groups with anchor test equating design using either chain equating or post-stratification equating. The equating function is treated in a multivariate setting
Andersson, Björn,, Wiberg, Marie,
core   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

open access: yesAdvanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt   +8 more
wiley   +1 more source

On the theory of integral equations with discontinuous kernels [PDF]

open access: yesTransactions of the American Mathematical Society, 1926
This paper is concerned with the theory of the integral equation whose salient characteristic is that its kernel K(x, t) is discontinuous along the line t =x. It is closely related with the theory of the integral equation characterized by discontinuities in the partial derivatives of the kernel for t=x, of which more specific mention is made below. The
openaire   +1 more source

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