Sentence examples for manifold of each from inspiring English sources

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The complex nonlinear appearance manifold of each registered person is partitioned into a collection of submanifolds where each models the face appearances of the person in nearby poses.

Michalevsky et al. [49] applied the diffusion framework [50] to speaker identification, where a feature vector consisting of the mel frequency cepstral coefficients (MFCC) and their first temporal derivative is used to parameterize the manifold of each speaker, by embedding them into a lower dimensional space.

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We then compare the analyses of dynamic and static synaptic inhibition, showing how the firing threshold manifolds of each relate, and why a current step approach is unable to fully capture the behavior of this model.

47 of Ideas, he describes what an experiencing subject, at a given time, in the light of his (or her) current indexical experiences, considers to be "the actual world" as a "special case" of a whole manifold of "possible worlds" each of which corresponds to a possible future course of experience (possible, that is, relative to the indexical experience in question).

Our approach characterizes the manifold structure of each sample point using the geodesic distances between the sample point and given correspondences.

We have been cautious of certainty on the basis of the variety of clinical situations, the heterogeneity of response, the disparities of resource, the complexity of social or cultural environments, and the manifold wishes of each of our patients.

This implies that there exists a whole manifold of fix-points related to each other via the symmetry transformation ((alpha_{s}, alpha_{i} to alpha_{s} e^{iphi}, alpha _{i} e^{-iphi})), where (alpha_{s}) and (alpha_{i}) are the rotating frame signal and idler mode amplitudes, respectively.

One thus obtains a manifold of electron proton vibrational states for each electronic state, and the PCET rate constant includes all charge-transfer channels that arise from such manifolds, as discussed in the next subsection.

We compare the critical manifold for each value of I syn.

Indeed, an infinite number of electron proton states result from each electronic state and the pertinent manifold of proton vibration states.

Therefore, each of these states possesses a unique manifold of rotameric substates that may interconvert on a relatively fast time scale.

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