Sentence examples for further denoting the from inspiring English sources

Further, denoting the family of all β-condensing mappings (mathcal{F}:Omega rightarrow mathbf{Z}) by (mathbf{C}_{beta }(Omega )).

We further denote the ticks from the by microticks and that from the by ticks.

Let further denote the maximum Doppler frequency for this mobile station.

We shall further denote the set of channels available to node i by.

Let further,, denote the nonzero channel coefficients at sampling rate with.

We further denote the absolute value of the argument of the eigenvalues of U arranged in descending order by, where the index j runs from 1 to n.

Further, denote the averaged STFD matrices defined in these subarrays as D y y 1 Ω 0 and D y y 2 Ω 0, respectively.

Before the packet copy reach the destination, we consider that the relay node i and j could meet n times during the forwarding process and further denote the exact meeting time as T ij (1)... T ij (n).

Let further denote the PP sample size for group i.

Further, denote the final dataset of L=121 loci by D = { A 1, A 2, …, A L }, where A ℓ is the set of aligned sequences at locus ℓ for individuals from all 11 species.

Given the residential history for case i, L i, further denote the space-time coordinate representing place of residence at time of diagnosis as, noting that ∈ L i We can then define that subset of the residential history L i over which the exposure window occurred as: Here t i, D is the time of diagnosis for individual i.