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For presentation clarity, let us define the notation of the cross-power spectral density (CSD) between α(f) and β(f) as ψ αβ f = E α f β * f (20).

Here, we define the notation as follows.

Before describing the processes of IBS and ICT, we define the notations used in our proposed protocol in Table 3.

The first part of this section formally defines the notation and framework of classification-based diagnosis.

GMF has been used to define the graphical notation of F3 models.

Consider the transformation T defined, with the notation of (3.2), from ℓ p ( F ˆ ) to ℓ p by x → y = T x.

The four basic theta functions are defined below following the notation of Whittaker and Watson [[20], p.464].

We define the following notation for the number of operations of a given complexity measure s S + c 1 C b + c 2 C i. to denote s summations, c1 bit comparisons, and c2 integer comparisons.

We define the following notation.

For convenience to analyze the performance of our proposed dynamic GKE protocol, we first define the following notations: Texp: The time of executing a modular exponentiation operation.

Let us define the following notations: n is a number of individuals; { H1,…, H M } is the haplotype groups with H M being the most common group; R = R ij ij = 1 n, M − 1 is a haplotype regression matrix; and { h i, 1; h i, 2} is a pair of haplotypes for i th individual.