Sentence examples for action of the operator from inspiring English sources

It follows from the action of the operator (Equation 118) on the N-elongated bases.

Obviously, B 1 [ u ] ( 0 ) = 0. Consider action of the operator B − 1 to the function B 1 [ u ] ( x ).

In order to achieve the action of the operator (5) in the space of essentially bounded functions L ∞, we have to assume that mes { t : g i ( t ) = c } = 0 for every constant c.

Here and below in similar situations, we write an operator to the right of an operand, because the action of the operator involves noncommutative matrix multiplication in such order.

We find the generating function of these polynomials and using it, we study the action of the operators ∂x and ∂x† in the functional realization.

A thorough analysis of the daily operations of dry cleaners often reveals that poor maintenance, failure to follow the manufacturer's instructions and the actions of the operator are the most likely causes of soil and groundwater pollution.

The technical performance of the energy supply is, therefore, dependent on the actions of the operator in charge.

Now, let us study actions of the operator D μ γ to the functions H k ( x ).

The action of this operator is explicitly given by the formula (18) T ˆ ħ (z 0 ) ϕ (x ) = e i (p 0 x − p 0 x 0 / 2 ) / ħ ϕ (x − x 0 ) (see e.g. [21,23,44]; it will be justified in Section 4.1).

Statistical analysis strives to suggest the best course of action to the operators.

The evaluation of the other actions of the operators in Equation 34 may be easily performed using Equation 31 and the relation [28] exp c ℏ 2 ∂ 2 ∂ q 2 h ( q ) = 1 4 Π ℏ 2 c ∫ − ∞ ∞ exp − ( y − q ) 2 4 c ℏ 2 h ( y ) dy, (43).