Sentence examples similar to considering the notation from inspiring English sources

Considering the notations and gluing condition (7) we have nu^ (x) = lambda (x nu^ (x).

By considering the notations in Table 3, the MT residing in the source network picks the ARs' advertisements (Adv) which contain information about the destination access network such the AuthID and the domain name.

In the following results, we consider the notation (F_{omega}=F omega,cdot)), for (omegainOmega).

(Adapted from Corollary 1 in [12]) Let (rho =frac {P}{sigma ^{2}}) and consider the notation (mathbf {T}=mathbf {T}(frac {1}{xi })) and (delta =delta (frac {1}{xi })).

We consider the notation v for both the vertex and its corresponding k-mer sequence.

We consider the notations (4.3).

Let us consider the notations given in Definition 3.

In order to obtain the transcription of a particular piece, it is necessary to define the symbols that best describe the piece considering the desired notation.

Considering the above notations, the signal x can be denoted as {x}_{Ntimes 1}={varPsi}_{Ntimes N}{theta}_{Ntimes 1}, (4 where ΨΨ T = Ψ T Ψ = I, I is the unit for the matrix, and θ ∈ ℝ n × 1 is a column vector of sparse coefficients, having merely k ≪ N non-zero elements.

Considering the above notations we define stochastic spatial discrete-event systems (SSpDES) as an extension of SDES with a set of spatial state variables SpSV and a spatial value assignment function SpV.

Consider the Algebraic notation for chess.[18] Here are the basics.