Sentence examples for function of operator from inspiring English sources

then is called Green's function of operator with the additional condition.

The proof of Theorem 13 uses the techniques introduced in [3] and it is based on estimates for the Green's function of operator (A_{h}^{x}) defined by (7).

Applying our recent statistical-mechanical theory for DNA looping, we calculated repression as a function of operator spacing (58 156 bp) from first principles and obtained excellent agreement with independent sets of in-vivo data.

Thus, precision quantifies the variability of an analytical result as a function of operator, method manipulations, and day-to-day environment.

In the rest of this section we specialize our development to consider the operator (A t)) as an additive perturbation of an infinitesimal generator of a cosine function of operators.

Using a semigroup approach, the discretized solution in time can be represented in an explicit recursive form, based on Taylor expansion of exponential functions of operator matrices.

The system has the main functions of operator login, real-time 3D display, setting parameters, alarming of entering dangerous area, tracking, emergency response, and data statistical analysis and management.

An operator that has this characteristic is known as a truth-functional operator, and a proposition formed by such an operator is called a truth function of the operator's argument(s).

Clearly every nonnegative operator convex function is of operator P-class.

We show that every nonnegative operator convex function is of operator P-class, but the converse is not true in general.

We refer to [23 29] for the theory of cosine functions of operators.