Sentence examples for instead of operator from inspiring English sources

Therefore, putting concrete Banach spaces instead of E and concrete positive differential, pseudo differential operators, or finite, infinite matrices, etc. instead of operator A in (1.1) and (4.1), we can obtain the maximal regularity of different class of convolution equations, Cauchy problems for parabolic CDEs or it's systems, by virtue of Theorem 3.7 and Theorem 3.11, respectively.

This procedure leads to operator-valued distributions instead of operator-valued fields.

Actually, it is more convenient to work with sesquilinear forms instead of operators.

In contrast to earlier papers, we consider the spectral radius of the error operator instead of its operator norm as a measure of optimality.

Instead of mutation operator, diversity operator is used with a diversity probability to diversify offsprings.

Next, we consider difference operators instead of shift operators in (1.1).

Unlike our proof-of-concept designs, in this research work, both the software and hardware modules are designed using floating-point operators, instead of integer operators.

Order-distributions can also be defined using integral operators instead of differential operators as X ( s ) = ∫ 0 ∞ k ( q ) s - q F ( s ) d q = ∫ 0 ∞ k ( q ) s - q d q F ( s ), (7).

Further research will be conducted to establish a comprehensive analysis model for dispatching operation, which focuses on the whole crew instead of single operator.

In order to avoid this difficulty, we consider instead of the operator L its some relatively compact perturbation (L_{alpha}=L+P^{alpha}), where (P^{alpha}) is the αth power of the operator (P x)).

You'd just get hack guys doing parodies, like Smoother Vibrator instead of Smooth Operator, or taking a few lame jokes and stringing them along to music.