Sentence examples for sequences of index from inspiring English sources

Let us denote by the totality of regularly varying sequences of index and by the totality of slowly varying sequences.

In the sequel, and will denote, respectively, the set of all normalized regularly varying sequences of index, and the set of all normalized slowly varying sequences.

The resulting sequences of indexes are SW encoded, that is, separately encoded and jointly decoded.

P j (k) : is the stored reference sequence of index (j).

Consider a sequence of index sets { M k } k = 0 ∞, where for all k ≥ 0, M k is a finite subset of Σ ∗.

A computer generated virtual partner (an avatar of a hand) is constructed using an animated sequence of index finger movements whose position is selected based on a mapping from the variable x.

As part of systematic X-chromosome exome re-sequencing of index patients from 405 families with XLID, a unique CDK16/PCTAIRE-1 variant was identified in a multigenerational family [ 19].

Denoting by w ˜ a weak-cluster point of { w n } let v = 0, 1, 2, … be the sequence of indices, such that w n v converges weakly to w ˜.

In order to solve the batch sizing problem, we obviously have to find a constant k and a sequence of indices 1 ≤ n 1 < n 2 < ⋯ < n k = n.

The watermarked content obtained after the decryption with the above D k can be expressed by adding to the encrypted signal the product of the decryption LUT D and a proper binary matrix (mathbb {T}) defined according to the sequence of indexes t ih, i.e., mathbf{y} = mathbf{c} + mathbb{T}mathbf{D}_{k} = mathbf{x} + mathbb{T}mathbf{W}_{k} (6).

Joint decryption and watermarking is performed by generating the same sequence of indexes t ih according to the content dependent key sek and by adding R entries of the decryption LUT D k to each encrypted feature c i as y_{k,i} = c_{i} + sum_{h=0}^{R-1} mathbf{D}_{k}(t_{ih}) = x_{i} + sum_{h=0}^{R-1} mathbf{W}_{k}(t_{ih}) = x_{i} + w_{k,i} (3).