Sentence examples for introduce the notation of from inspiring English sources

[22] introduce the notation of local density ρ ( r →, t ).

Before stating the lemma, however, we need to introduce the notation of [36].

In this section, we introduce the notation of generalized -mapping and a contractive condition called generalized -pair.

We also introduce the notation of a generalized probabilistic metric space and obtain common fixed point theorem in the frame work of such spaces.

In the derivations of the maps, we will make use of the PRCs of A and B which are defined in terms of P 0 and Q 0, the intrinsic periods of A and B. To simplify these derivations we introduce the notation of the "intrinsic phase" of neurons A and B which are defined, respectively, as ϕ n = d t n / P 0 (3.2a) θ n = d τ n / Q 0 (3.2b).

This naturally leads us to introduce the notation of interactions between complexes as defined in the Method section.

In [7, 10], Xue and Zhao-Yamada introduce the notations of a-thin (with respect to the Schrödinger operator (mathit{Sch}_{a})) at a point and a-rarefied sets at infinity (with respect to the Schrödinger operator (mathit{Sch}_{a})), which generalized the earlier notations obtained by Miyamoto, Hoshida, Brelot (see [11 14]).

In [5], Long-Gao-Deng introduce the notations of a-thin (with respect to the Schrödinger operator Sch a ) at a point, a-polar set (with respect to the Schrödinger operator Sch a ) and a-minimal thin sets at infinity (with respect to the Schrödinger operator Sch a ), which generalized earlier notations obtained by Brelot and Miyamoto (see [7, 8]).

In [[8], p.67], Zhao introduce the notations of a-thin (with respect to the Schrödinger operator S c h a ) at a point, a-polar set (with respect to the Schrödinger operator S c h a ) and a-minimal thin sets at infinity (with respect to the Schrödinger operator S c h a ).

Let us introduce the notation for the prices of all traded assets in our model.

For the purpose of completeness, we also introduce the notation to denote the average power of node during phase one.