Sentence examples for use the notation in from inspiring English sources

We use the notation in bold a 2 to denote the vector that is formed by taking the square of the entries of a, i.e., (mathbf {a}^{mathbf {2}}=[a_{1}^{2}, cdots, a_{N}^{2}]^{T}).

Considering that the feedback system can be one of the situations represented in either Figures4 or5, we use the notation in Figure3 to effectively describe the interference management schemes for the rest of this section.

For Banach spaces and, we denote by the Banach space of all bounded linear operators from to equipped with the operator norm, and use the notation in place of.

In this paper, we use the notations in Gupur [5, 6, 13].

In what follows, we use the notations in [33, 34], especially, the pairs of the indices imply summation.

We use the notations in the proof of Theorem 4, by setting b ( t ) ≡ 1 and γ = ∞.

We use the notations in Section 3 with minor change such as (tilde{Q}_{ell,j}) for (Omega_{ell}) instead of (tilde{Q}_{j}) for Ω.

Beginning in the late 19th century and continuing into the 21st, composers who challenged traditional tonality often used the notation in new ways.

Using the notation in (22), prototype functions are fitted to the triplets: (23).

and using the notation in previous, we can rewrite (2.40) as.

It can be derived as follows using the notation in Table 2.