Sentence examples for a sequence of given from inspiring English sources

Let be a sequence of real numbers belonging to an interval, and let be a sequence of given positive weights associated to and satisfying.

Given an m-dimensional surface Φ in Rn, we characterize parametric curves in Φ, which interpolate or approximate a sequence of given points pi∈Φ and minimize a given energy functional.

for all for a sequence of given finite numbers with (if, then the corresponding sum is dropped off) which can be rewritten as (2.1) if ; for all (except possibly for a finite number of values of the sequence what implies ) by defining the sequence.

Let x = { x 1, x 2, …, x n } be a sequence of real numbers belonging to a given real interval I, and let p = { p 1, p 2, …, p n } be a sequence of given positive weights associated to x and satisfying p 1 + p 2 + ⋯ + p n = 1.

Cummings et al. [19] suggested the use of a binomial probability mass function to calculate the probability of a sequence of given length possessing a specific number of errors under conditions with a known base misincorporation rate.

For a transcript m, we can express the probability of an observed alignment as the probability of choosing a specific position p and sequencing a sequence of given length with all its mismatches, P(r n | I n = m)= P(p| m) P(r n |seq mp ).

A total of ten pairs of playback sequences were compiled, whereby each pair consisted of a sequence of chirps given to a leopard model and a sequence of chirps given to a snake model.

Their passing was more laboured than Leicester's and their delivery from the breakdown slower, but when a sequence of penalties gave them a series of five-metre lineouts, they looked menacing.

It provides a sequence of sections giving various perspectives on the P2P model, including a graph theoretic perspective, a design space perspective, a routing performance perspective, and an implementation perspective.

Because pseudo-noise sequences are periodic, there are only a limited number of sequences of given length.

Our method aims to generate a sequence of heuristics from a given weak heuristic h0 and a set of unsolved training instances using a bootstrapping procedure.