The phrase "associated to the given" is not correct in standard written English.
The correct expression would typically be "associated with the given."
Example: "The results are associated with the given parameters in the study."
Alternatives: "linked to the given" or "related to the given."
The particular function-form correspondence associated to the given corpus is represented by means of a list of dictionaries of classes of parameterized F0 patterns, where the access key is given by a sequence of prosodic features.
We design an exact algorithm for solving rank-constrained semidefinite programs, whose complexity is essentially quadratic on natural degree bounds associated to the given optimization problem: for subfamilies of the problem where the size of the feasible matrix, or the dimension of the affine section, is fixed, the algorithm is polynomial time.
Intuitively, they correspond to the three most probable categories that can be associated to the given sequence.
Let (pinmathcal{P}(^{m}E; E)) be associated to the given bounded operator (Tinmathcal{L} (^{m}E; E)) where (operatorname{dim}(E geqslant2).
(T(1)) is an idempotent, Let (pinmathcal{P}(^{2}mathcal{A};mathcal{A})) be associated to the given bilinear homomorphism (Qinmathcal{L}(^{2}mathcal{A};mathcal{A})).
Assume the polynomial operator (pinmathcal{P} (^{2}mathcal{A};mathcal{A})) associated to the given bilinear operator (Qinmathcal{L} (^{2}mathcal{A};mathcal{A})) is nonunital.
This module uses both perspectives to consider a number of mathematical approaches, including neighbor-joining, balanced minimum evolution, and singular value decomposition methods, to the problem of recreating the best phylogenetic tree from only the partial data associated to the leaves given by DNA sequence alignments.
Based on the structural analysis and biochemical study, we suggest that the unique dual catalytic property of the archaeal debranching enzyme may be associated to the tetramer, giving rise to the modulation of the activities of TreX upon oligomerization of its subunits.
"We envisioned our video editing to fit a similar construction," explained Dubosc, "finding a balance between mechanical occurrences that would illustrate the music, yet have more freedom with the images associated to the lyrics, and give room to a more poetic, literary take on the track".
This cutset constraint is a global constraint over boolean variables associated to the vertices of a given graph and states that the subgraph restricted to the vertices having their boolean variable set to true is acyclic.
From [12, Chapter 10], the distortion associated to the estimator (6) is given by (7).
