Sentence examples for using the notation in from inspiring English sources

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.

Context information is formalized using the notation in [7]: Let τ: DIM→I, where DIM = {X1,X2,…,X n } is a finite set of dimensions and I = {a1,…,a…,a n } is a set of types.

(9) Setting Q= left ( textstylebegin{array}c@{quad}c@ frac{1}{gamma}I&B B^{T}& frac{1}{tau} P end{array}displaystyle right ) (10) and using the notation in (4), we have the following compact form of (9): (u-tilde{u}_{k})^{T}bigl{ F( tilde{u}_{k})+Q tilde{u}_{k}-u_{k} bigr} geq0, quad forall uinOmega.

Using the notation in [24] on system (10), matrices for the new infection terms, (F_{r}), and the other terms, (V_{r}), are computed to be begin{gathered} F_{r} = left ( begin{matrix} 0 & beta_{r}^{alpha}x_{0} 0 & 0 end{matrix} right ), V_{r} = left ( begin{matrix} a_{r}^{alpha}(1+alpha_{1}H_{0}) & 0 -k_{r}^{alpha} & c_{r}^{alpha} end{matrix} right ). end{gathered}.

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

By using the notations in the proposed method, X is Ferritin, W is DTFE, and Z is Age.

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

In general, using the notation presented in Table 2, the RR can be expressed as follows: The estimate of RR does not follow a Normal distribution.

Cocoa butter, a chemically simple fat, has three major components: POS, POP, and SOS (using the notation defined in section ).

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