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"There are terms in principal that have been agreed.
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We notice that the conditions of Propositions 2.6 and 2.8 do not include the diffusion terms, hence, in principal, Propositions 2.6 and 2.8 could be applied to analyze the exponential stability of stochastic system (4.1), but could not be model (4.5) for its the Dirichlet boundary condition.
It is an effective method to get a positive definite energy through one term, controlled by the other term in the principal part of the equations [7 19].
Let there be light -- let there be a firmament -- let the dry land appear -- let the earth bring forth the living creature after his kind -- these are the terms in which the principal acts are described.
The complexity count is shown in terms of principal factors as commonly done in the literature.
New folding pathways are identified in free-energy landscapes determined in terms of principal components for full-size mutants.
Correlated responses can be written in terms of principal component scores, but the uncertainty in the original responses will be transferred and will influence the behavior of the regression function.
Our principal contribution is an "eigenspace of spinning-images", i.e., a model of the environment which successfully exploits some of the specific properties of panoramic images in order to efficiently calculate the optimal subspace in terms of principal components analysis (PCA) of a set of training snapshots without actually decomposing the covariance matrix.
As (epsilon^{2}) increases beyond that value, we see a fixed point, followed by periodic and then apparently chaotic solutions (for (epsilon^{2} > 2^{-2}), a decomposition of the trajectories in terms of principal components requires a large number of orthogonal modes, here in excess of 25).
Finally, a description of the folding pathway in terms of principal component analysis is presented to characterize the folding dynamics in reduced dimensions.
Results were discussed in terms of principal component analysis.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com