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The strict theory of complex variable function method for sextuple harmonic equation and applications

Journal of Mathematical Physics, 2010
The strict theory of the complex variable function method for the sextuple harmonic equation is given in detail, which is a development of the work on the quadruple harmonic equation of the authors. Both of the above mentioned works develop the well-known Muskhelishvili complex variable function method for solving the biharmonic equation used in the ...
Fan, Tian You   +3 more
openaire   +2 more sources

Variability and Complexity of Non-stationary Functions: Methods for Post-exercise HRV.

Nonlinear dynamics, psychology, and life sciences, 2020
Heart rate variability (HRV) is a noninvasive marker of cardiac autonomic function that has been extensively studied in a variety of populations. However, HRV analyses require stationarity-thus, limiting the conditions in which these data can be analyzed in physiologic and health research (e.g. post-exercise). To provide evidence and clarity on how non-
Nathaniel T, Berry   +2 more
openaire   +1 more source

3D elasticity solution for uniformly loaded elliptical plates of functionally graded materials using complex variables method

Archive of Applied Mechanics, 2018
Based on the generalized England’s method, the three-dimensional elastic response in a transversely isotropic functionally graded elliptical plate with clamped edge subject to uniform load is investigated. The material properties can arbitrarily vary along the thickness direction of the plate. The expressions of the mid-plane displacements of the plate
Y. W. Yang   +4 more
openaire   +1 more source

The method of the ternary complex based on three-variable rational interpolation function

Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023), 2023
Bing Yang, Qiao Guo
openaire   +1 more source

An Improved Complex Variable Reproducing Kernel Particle Method Based on Conjugate Basis Functions for Elasticity Problems

International Journal of Applied Mechanics
Based on conjugate basis functions, this paper proposes a novel improved complex variable reproducing kernel particle method (ICVRKPM) for elasticity problems. The approximation function of ICVRKPM is formulated using conjugate basis functions. Combining with the Galerkin weak form for elasticity problems and the implementation of displacement ...
Yaosheng Niu, Li Chen, Yumin Cheng
openaire   +1 more source

Smoothing Methods of Cousin Type and their Applications to Global Factorizations of Generalized Analytic Functions in Several Complex Variables

Results in Mathematics, 1992
The author considers the additive Cousin problem in the restricted sense for a general linear differential equation \(L[u]=0\), i.e. the problem to construct global solutions \(u\) with given singularities. It is shown that a global solution of the inhomogeneous differential equation \(L[\lambda]=h\) can be obtained from local solutions by a smoothing ...
openaire   +1 more source

Magnetic resonance linear accelerator technology and adaptive radiation therapy: An overview for clinicians

Ca-A Cancer Journal for Clinicians, 2022
William A Hal, X Allen Li, Daniel A Low
exaly  

A New Method of Predicting US and State-Level Cancer Mortality Counts for the Current Calendar Year

Ca-A Cancer Journal for Clinicians, 2004
Ahmedin Jemal Dvm, Eric J Feuer
exaly  

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