Sentence examples for introducing the operators from inspiring English sources

Before introducing the operators, we mention some basic definitions of q calculus (see[12]).

Before introducing the operators, we mention certain definitions based on q-integers; details can be found in [8, 9].

Let us obtain the representation of the system (10) by introducing the operator (^{mathrm{CF}}_{0}{mathcal{D}}_{t}^{gamma}) and (^{mathrm{ABC}}_{0}{mathcal{D}}_{t}^{gamma}) for each derivative.

In this case, the aggregate can be denoted by introducing the operator called the Z-conjunction and graphically indicated by the ampersand, &.

Let us introduce the operators (2.112).

Further, we introduce the operator (2.5).

First, we introduce the operator pencil associated with the problem.

Then, motivated essentially by the operator, we now introduce the operator.

Then, motivated essentially by the operator, Wang et al. [3] introduced the operator (1.14).

For, Owa and Srivastava [3] introduced the operator defined by (1.10).

For any, by assumption (1.5) we can introduce the operator: (1.12).