Sentence examples for adopt the notation of from inspiring English sources

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).

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

Let S N R i ≐ u α i for some fixed α i greater than zero (we adopt the notation of [8]to denote ≐, ≤. and ≥. to represent exponential equality and inequalities) for some base SNR denoted by u (In other words, α i  ≜ lim u → ∞ (log SNR i )/log u))) (u can be chosen to be any base SNR, e.g., max SNR i ) or min SNR i ) or an average).

(We adopt the notation of [ 18] in which lower case symbols are used to indicate particular realizations of the corresponding uppercase variables).

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

Remark 6 We refer to [2], where the saturation assumption (71) is proved in the frame of the weakly singular integral equation for the Dirichlet problem (24) and T 2 h replaced by some coarser mesh T kh with k ≥ 2 depending only on Γ. □ Proof of Theorem 5 We adopt the notation from the proof of Theorem 1.

We refer to [2], where the saturation assumption (71) is proved in the frame of the weakly singular integral equation for the Dirichlet problem (24) and T 2 h replaced by some coarser mesh T kh with k ≥ 2 depending only on Γ. □ We adopt the notation from the proof of Theorem 1.

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

Note that x → (t ) is normal to C at C because of the construction of V. We adopt the notation (s, t ) C = x → s (t ), where x → s (t ) is the solution to the initial value problem given by (3) with initial condition x → s (0 ) = C → (s ) for some s ∈ [0, L), for − ∞ < t < ∞.

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