Sentence examples for elementary operator from inspiring English sources

When calculated using the RT method, the modified Green operator integral at any interior point of a bounded domain (inclusion) takes the form of a weighted average over an angular distribution of a single elementary operator.

The weight function is geometrically defined from the characteristic function of the domain, and the four-rank or second-rank elementary operator depends on the material linear property of concern.

The RT method simply shows that the noticed particularity is due to matching symmetry between the inclusion shape (through the weight function) and the material property (through the elementary operator).

From the Fourier transform method, the modified Green operator integral over a bounded domain in an infinite elastic medium takes, on each domain point, the form of a weighted average over an angular distribution of a single elementary operator.

Using a martingale condition and some restrictions on moments up to fourth order the characterisation problem of boson, fermion, and classical brownian motions is studied from a unified point of view entirely within the framework of elementary operator theory.

The corresponding elementary operator EA, Bis the mapS↦∑ni=1 AiSBionL(E), and Ea, bdenotes the induced operators↦∑ni=1 aisbion the Calkin algebra C(E =L(E /K(E).

We establish that ifEhas a 1-unconditional basis, thendist(E, ,W(C(E)))=‖E, ‖⩽dist (E, , W(L(E))),for all elementary operators EA, BonL(E), whereW stands for the weakly compact operators.

Novelties of our approach are: (1) evaluation of the fault detection capability (in terms of revealing faults in the SUC) of test sets generated based on the mutated models, and (2) superseding of the great variety of existing mutation operators by iterations and combinations of the two proposed elementary operators.

These elementary operators allow a broad range of image transformations.

In this paper we propose a general framework which formalizes a KD process as an algebraic expression, that is, as a composition of operators representing elementary operations on two worlds: the data and the model worlds.

Operators are elements carrying out elementary operations (add a column to a data table, calculate the mean value, etc).