The phrase "associated vector" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or computer science, where it refers to a vector that is linked or related to another entity or concept.
Example: "In the analysis of the data, we found that the associated vector provided crucial insights into the underlying patterns."
Alternatives: "related vector" or "linked vector".
Towards this aim we encounter a Lie bracket structure in the associated vector fields with a complicated dependence on solutions.
Let G × KW be the associated vector bundle to the K-representation (σ, W) over the Riemannian symmetric space G/K of rank one.
The associated vector fields for the one-parameter Lie group of infinitesimal transformations are V 1 and V 2 as given by V 1 = ∂ ∂ x, V 2 = ∂ ∂ t.
We solve the induced electric field directly from Faraday's law, by representing the magnetic variation field in terms of external equivalent current and taking time derivative of the associated vector potential.
Given a set ({ d_{i} }) of drugs and a set ({ t_{j} }) of targets, the training data consists of a set (X = { x_{1}, ldots,x_{m} }) of drug target pairs ((X) is a subset of ({ d_{i} times t_{j } })) and an associated vector (y = y_{1}, ldots,y_{m}) of continuous binding affinities.
Thus we can apply the associated vector field, which we denote by Y, and we have the estimate 〈 ∂ J ( u ), Y ( u ) 〉 ≤ − c ( ∑ i ∈ D 1 λ i β + ∑ i ∈ D | ∇ H ( a i ) | λ i + ∑ i ≠ j, i, j ∈ D ε i j ) + O ( ∑ i ∈ D, j ∉ D ε i j ).
Moreover, we show minimality and completeness of the corresponding system of eigenvectors and associated vectors.
The eigenvector and the associated vectors corresponding to (lambda_{0}) are called the principal vectors of the eigenvalue (lambda=lambda_{0}).
Specifically, we need to increment all of the associated vectors σ and re-compute the ratio modified keys/total keys, hold in all ν vectors.
As in the previous step, we get the associated vectors, begin{aligned} Gamma_{1}=frac{partial}{partial{x}},qquad Gamma_{2}= frac{partial }{partial{t}}.
end{aligned} (47) As in the previous step, we obtain the associated vectors, begin{aligned} Gamma_{1}=frac{partial}{partial{xi}},qquad Gamma_{2}= frac{partial }{partial{tau}}.
