Results 241 to 250 of about 6,304,512 (290)

Theory of linear magnetoelastic effects

Physical Review B, 1985
A theory for the elastic properties of magnetostrictive materials is presented. The complete elastic constant tensor is obtained from simple linear magnetoelastic approximations as a function of the magnetoelastic coupling coefficients and the susceptibility. It is also shown that, by using the proper dynamic susceptibility tensor, most of the observed
, Rinaldi, , Turilli
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Effectively Well-Conditioned Linear Systems

SIAM Journal on Scientific and Statistical Computing, 1988
The authors discuss effective well-conditioning of the linear system \(Ax=b\). The condition number \(K(A)=\| A\| \| A^{-1}\|\) is often an overly conservative measure of the sensitivity of x under perturbations of \(\Delta\) A and \(\Delta\) b to A and b respectively. Two practical cases in which the sensitivity of x may be significantly less than the
Chan, Tony F., Foulser, David E.
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Linear Mixed Effects Models

2007
Statistical models provide a framework in which to describe the biological process giving rise to the data of interest. The construction of this model requires balancing adequate representation of the process with simplicity. Experiments involving multiple (correlated) observations per subject do not satisfy the assumption of independence required for ...
Ann L, Oberg, Douglas W, Mahoney
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Linear Transformations of Linear Mixed-Effects Models

The American Statistician, 1997
Abstract A number of articles have discussed the way lower order polynomial and interaction terms should be handled in linear regression models. Only if all lower order terms are included in the model will the regression model be invariant with respect to coding transformations of the variables.
Christopher H. Morrell, Jay D. Pearson, Larry J. Brant   +2 more
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Excitons: Linear and non-linear optical effects

Il Nuovo Cimento D, 1993
Selection rules and polarization dependence properties of one- and two-photon optical spectrocopies to exciton states in semiconductors are briefly discussed. The non-local effects in the description of the exciton in semiconductors are also considered and their importance is shown by presenting a gauge-invariant calculation of the two-photon ...
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Linear Mixed-Effects Model

2012
In Chap.10, we presented linear models (LMs) models with fixed effects for correlated data. They are examples of population-averaged models, because their mean-structure parameters can be interpreted as effects of covariates on the mean value of the dependent variable in the entire population. The association between the observations in a dataset was a
Andrzej Gałecki, Tomasz Burzykowski
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Inertial Effects on Linear and Locally Linear Flows

Aerosol Science and Technology, 1985
The dynamics of a suspension of particles in a gas may be characterized by the coexistence of a nearly equilibrated incompressible component (the gas) with a highly compressible component, which is often very far from equilibrium (the particle phase). The governing equations for such a system are complicated due to the coupling between the two phases ...
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Linear and generalized linear mixed effects models

2009
In Chapter 8 we learned about the concept of hierarchical modeling, a data analysis approach that is appropriate when we have multiple measurements within each of several groups. In that chapter, variation in the data was represented with a between-group sampling model for group-specific means, in addition to a within-group sampling model to represent ...
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