Results 61 to 70 of about 1,282 (191)
Unified Stein‐Type Characterizations of Bivariate Count Distributions With Applications
ABSTRACT The derivation and application of Stein identities have received considerable research interest, especially for continuous distributions and univariate discrete distributions. In this article, we derive a unified Stein‐type characterization for three bivariate count models, namely the bivariate Poisson, type‐I bivariate binomial, and bivariate
Shaochen Wang, Christian H. Weiß
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ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor +2 more
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Estimation of Underlying Normal Distribution Parameters From Dichotomized Data
ABSTRACT Accurately estimating the parameters of a continuous distribution from dichotomized or aggregated data is a common problem in biomedical and environmental research. Many studies report only the proportion of subjects exceeding a threshold, without releasing individual‐level measurements.
Zhaoze Liu +4 more
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Polynomial Preconditioning for Indefinite Matrices
ABSTRACT Polynomial preconditioning is an important tool in solving large linear systems and eigenvalue problems. A polynomial from GMRES can be used to precondition restarted GMRES and restarted Arnoldi. Here we give methods for indefinite matrices that make polynomial preconditioning more generally applicable. The new techniques include balancing the
Hayden Henson, Ronald B. Morgan
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This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim +3 more
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Vibrations in matter, from spider webs to molecules, water to flames, share a grammar with music. We propose that creativity emerges when constraints force expansion beyond existing possibilities. Selective imperfection restores balance, enabling invention.
Markus J. Buehler
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Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials
In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim +3 more
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SNR‐Efficient Inhomogeneous Magnetization Transfer (ihMT) for Clinical Applications at 7 T
ABSTRACT Purpose Inhomogeneous MT (ihMT) is an MRI modality sensitive to Myelin, the lipid‐rich membrane surrounding the axons. A novel ihMT saturation strategy and its associated B1+ correction at UHF are proposed. The aim is to generate a strong ihMT effect within a clinically compatible scan time while complying with SAR constraints at 7 T.
Timothy Anderson +8 more
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On the degree of approximation of the Hermite and Hermite-Fejer interpolation
Here we find the order of convergence of the Hermite and Hermite-Fejér interpolation polynomials constructed on the zeros of (1−x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1)=1.
J. Prasad
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On the Thermal Behavior during Spatial Anisotropic Femtoseconds Laser-DNA Interaction: The Crucial Role of Hermite Polynomials. [PDF]
Oane M, Mihailescu CN, Trefilov AMI.
europepmc +1 more source

