Sentence examples for with respect to the class from inspiring English sources

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However, such objects as starfish, bacteria, etc. have an ambiguous status with respect to the class of animals.

It is shown that this class is strictly larger than the class of all "measurable elements" with respect to the class of all Dixmier traces.

The information obtained using the different masks is efficiently combined to produce the multi-mask filter, which is optimal with respect to the class.

The method produces, among others, the only separable Banach space of almost-universal disposition with respect to the class F of finite-dimensional spaces (Gurariĭ space G); or the only, under CH, Banach space with density character the continuum which is of universal disposition with respect to the class S of separable spaces (Kubis space K).

The algorithms achieve the following improvements over the previous work with respect to the class of materialized outerjoin views which can be incrementally maintained, and with respect to the performance of the view updates:.

Under our modelling assumptions, the implication for biological neural processing is that dendrites implement functions that have maximal information spectral complexity with respect to the class of multivariate functions from which they are drawn.

An experimental design is said to be Schur optimal, if it is optimal with respect to the class of all Schur isotonic criteria, which includes Kiefer's criteria of Φp-optimality, distance optimality criteria and many others.

However due to the uncontrolled growth, OWL ontologies in many cases are very heterogeneous with respect to the class and property labels that often lack a common and systematic view.

It is shown that these algebras have the complete compact approximation property with respect to the class of finite dimensional interpolating algebras, and hence all weak-∗ continuous contractive representations have unitary ∗-dilations.

In feature selection, χ 2 measures the independence of features with respect to the class.

Note that if X has the inverse shadowing property with respect to the class T d, then X has the orbital shadowing property with respect to the class T d.

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