Sentence examples for generalized center from inspiring English sources

Case (b): Consider the generalized center conditions in Case (iv) and (IV).

Proof We have to find necessary conditions of the generalized center from the vanishing of all first singular point quantities.

So we can apply directly the above method to find the necessary conditions of integrability for solving the problem of the generalized center.

Case (a): Consider the generalized center condition in one the of Cases (i), (ii), (iii), ( v ˜ ), and (I), (II), (III), ( V ˜ ).

Now we consider the linearizability by investigating the two former cases of generalized center conditions, respectively, for q = 3 K + 1  or  3 K + 2, K = 1, 2, …  .

Remark 2 For system (3), according to Theorem 2.3, we can get the recursive formulas to compute the singular point quantities for investigating the generalized center for any positive integer q.

We classified DC location in the granuloma based on three generalized areas: the center, the lymphoid cuff of cells forming the periphery, or outside in extra-granulomatous tissue (Fig. 2A).

The paper presents a generalized regression technique centered on a superquantile (also called conditional value-at-risk) that is consistent with that coherent measure of risk and yields more conservatively fitted curves than classical least-squares and quantile regression.

The Gaussian mixture density (GMD) [7], centered generalized Gaussian density (GDD) [8], and the symmetric α-stable (S αS) density distribution [9] are most common models in recent years.

Since subjects belong to various clusters (health centers), generalized estimating equations (GEE) models will be used to build explanatory models that serve for identifying work and occupational characteristics related to work satisfaction and burnout, or to provide an answer to the principal objective.

MGD computes the generalized distance from the center of the N-dimensional clusters corresponding to each class for all test point.