Sentence examples for representing the separation of from inspiring English sources

Note that we have introduced the small parameter ϵ representing the separation of the time scales of homeostasis and firing rate dynamics rather than assuming that (tau_{a}) and (tau_{b}) are large.

Due to the spatial variation of h as the dependant variable, this implies p(h) be diffuse in h, between h = 0, representing the coincidence of S and X, and h > h′, representing the separation of S and X.

Clustering occurs with the shallowest samples within the photic zone (10 m and 70 m), representing the separation of samples dominated by photosynthetic metabolisms.

Five of these splits represented the separation of North African and European subspecies in C. (Macrothorax) morbillosus and C. (Macrothorax) rugosus, and the resulting rates ranged between 0.0020 to 0.0033 subs/s/Ma/l.

The working equations of the nonlinear Spiegler Kedem model are as follows: R = 1 - frac{{C_{text{p}} }}{{C_{text{m}} }} = frac{sigma (1 - F)}{1 - sigma F} (6 with F = exp ( - left( {left( {1 - sigma } right)/P_{text{s}} } right)J_{text{v}} ) (7 where the reflection coefficient σ represents the separation capability of a membrane, and P s is the solute permeability.

This index represents the separation degree of the classes in the feature space.

We briefly overview some relevant recent works which have explored different classification, discrimination and clustering techniques to represent the separation between two groups of prognosis signature patients.

Hereby constraints (5f) represent the separation requirements between the frequencies of one STRX (inner STRX separation) and constraints (5g) describe the necessary separations between the frequencies of two different STRXs (outer STRX separation).

In Fig. 5, Phase 1 represents the gradual separation of customers in two groups, with a daily tariff time shift of two hours.

Together, Apple and Walmart represent the intense separation of American life into blue and red, rich and poor, overpriced and undersold, hyperconnected and left behind.

Phylogenetic methods provide a simple way of imposing a clear hierarchical relationship on the data, with branch lengths in the classification tree representing the degree of separation witnessed.