Sentence examples for begin with we introduce from inspiring English sources

To begin with, we introduce some lemmas.

To begin with, we introduce some notation.

To begin with, we introduce some definitions and properties which will be used later.

To begin with, we introduce a useful bilinear form of system (1.1).

To begin with, we introduce the chaos pulse re-generator (CPRG).

To begin with, we introduce some notation and recall some basic definitions.

To begin with, we will first introduce a property on distance functions.

To begin with, we will briefly introduce some basic concepts and notations of the Bell polynomials.

To begin with, we need to introduce the following important lemma which Liu and Wang obtained and proved in Ref. [13].

We begin with introducing the controlled equation.

We begin with introducing briefly some notation and terminologies.