Sentence examples for a sequence of index from inspiring English sources

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

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.

To define neighborhood types, we fix a sequence of nested index sets { M k } k = 0 ∞.

Definition 3.1 We say that { M k } k = 0 ∞ is a sequence of nested index sets if it satisfies the following conditions: (i) Both { m ̲ k } and { m ¯ k } are nondecreasing, and lim k → ∞ m ̲ k = lim k → ∞ m ¯ k = ∞.

We say that { S i } i = 1 ∞ is of generalized finite type if there exist a sequence of nested index sets { M k } k = 0 ∞ and a nonempty invariant open set Ω ⊆ X such that, with respect to Ω and { M k } k = 0 ∞, V / ∼ = { [ v ] | v ∈ V } is a finite set.

Each utterance thus generates a sequence of Gaussian indices.

The idea of the cumulative hierarchy of sets is that we construct sets in a sequence of stages indexed by the ordinals: at stage 0, the empty set is constructed; at stage α + 1, all subsets of the set of stage α sets are constructed; at a limit stage λ, the union of all stages with index less than λ is constructed.

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.

For the genuine user, sort the set from largest to smallest into a sequence of ordered feature indices.

Complex movements were a sequence of thumb-finger oppositions: index finger twice, middle finger once, ring finger twice, little finger once.

Mismatch negativity (MMN) and its neuromagnetic analog (MMNm) are event-related brain responses elicited by changes in a sequence of auditory events and indexes early cognitive processing.