Sentence examples for adopting this notation from inspiring English sources

Adopting this notation, the expansion of f takes the dyadic form: :f = \sum_{n=1}^\infty \varphi_n \left ( \varphi_n^\dagger f \right).

However, we adopt this notation for the purpose of consistency with that in [ 11].

Once we adopt this notation, we can rewrite model (3) as follows: (4) To simplify the notation, we have considered functions depending on two variables at most.

Enzymes that catalyze the same reaction are often referred to as analogous, as opposed to homologous [ 4- 6]; it is probably more accurate to explicitly denote them Non-homologous ISofunctional Enzymes (NISE), and hereinafter we adopt this notation.

The main difficulty in this proof involves showing that for (left| lambda -lambda _{0}right| ) sufficiently small, (Hleft( cdot,lambda right) Bleft( x;rright) rightarrow Bleft( x;rright).) We prove this step in detail, adopting the notation in the proof above.

For notational convenience, we adopt the notation to denote the unknown clock phase offset.

To this aim, in what follows we adopt the notation ((D_{c,d})) to denote the Dirichlet problem ((D)), when we need to emphasize the values of the boundary conditions.

Notation: We adopt the notation of using boldface for vectors a (lower case) and matrices A (uppercase).

Notice that we have adopted the notation prod_{i=k+1}^{k} a(i =1 quadtext{and} quadsum_{i=k+1}^{k} a(i =0.

The function spaces we use are rather familiar, and we adopt the notation of [15].

For the simplicity of illustration, we adopt the notation, Figure 2 The state transition diagram of host i.