Formulae are obtained for determining the response of non-conservative linear systems without any particular assumption about the nature of the matrix coefficients, multiplicity of eigenvalues or external forcing.
The main problem is to compute the Poincaré series of G, meaning the series f z)="1+c1z+c2z2+⋯ whose coefficients are multiplicities of 1 into tensor powers of the fundamental representation.
Different effects of Ang1 on different aspects of endothelial cell biology may occur in parallel (e.g. restoration of continuity between glycocalyx and plasmalemma at the endothelial cell surface, and changes in inter-endothelial cleft molecules), and may contribute to the multiplicity of changes in permeability coefficients observed in different types of microvessels in these studies.
The GLE energetic spectrum suggested for this event is estimated taking into account the primary differential spectrum of galactic cosmic rays, coupling coefficients and integral multiplicities of concrete detectors at different latitudes and levels of observation.
The trinomial coefficient defining the multiplicity of read counts and a term involving errors are ignored, as both remain constant in interpopulation comparisons and hence have no influence on the following statistical test.
Kendall's correlation coefficients were derived with significance and multiplicity adjusted by Holm's method.
On the basis of previous work, a method is presented which correlates the flexibility, multiplicity and symmetry of the Wilson parameters with activity coefficients at infinite dilution and the relations among parameters to evaluate vapor liquid equilibria of ternary systems.
Important parameters for multiplicity criteria are reaction orders m and n, stoichiometric coefficient b, the ratio p of feed concentration of A to that of B, dimensionless activation energy α, dimensionless heat of reaction β, dimensionless heat transfer coefficient γ and dimensionless coolant temperature.
Using the non-smooth critical point theory we investigate the existence and multiplicity of solutions for a differential inclusion problem with singular coefficients involving the p(x -Laplacian.
Given the exploratory nature of this study, a significance level of 0.05 was used to test the significance of the regression coefficients of the exposure variables; no adjustments for multiplicity were applied.
