Sentence examples for adopting the notation from inspiring English sources

Using the same majorization argument as in the previous appendix for tr A - 1 = ∑ i 1 / λ i A and adopting the notation therein, we should select U = U T′ and V = V Q.

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.

Adopting the notation in [6], we define X v (t) to be the states of node v at the end of time slot t such that X v ( t ) = S, if v is in state S at time t ; I, if v is in state I at time t ; R, if v is in state R at time t.

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

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].

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

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

For the sake of simplicity we adopt the notation (x^{1/q}=sqrt [q]{x}) for all (x,q>0).

Observe that the prior probabilities have been substituted by factors ωI,ito adopt the notation typical of mixture models.

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