The phrase "an independent vector" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or computer science, particularly when discussing linear algebra or vector spaces.
Example: "In the context of linear transformations, an independent vector is essential for forming a basis."
Alternatives: "a free vector" or "a non-dependent vector".
Let X = ( X 1, X 2, …, X n ) be an NSD random vector, and let X ∗ = ( X 1 ∗, X 2 ∗, …, X n ∗ ) be an independent vector such that X i ∗ and X i have the same distribution for each i.
If θ1 denotes the angle that an M-dimensional vector h j makes with an independent vector h 1 (one-dimensional subspace), the distribution of sin2 θ1 is given by F sin 2 θ 1 ( M ; x ) = x M - 1. (39).
However, whether this would result in a Rev independent vector is unclear.
Recently, a method called independent vector analysis (IVA) has been developed to overcome the permutation problem by embedding statistical dependency across different frequency components [16 19].
where the elements in h μ θ | 1 ≤ θ ≤ rank H b min α i are the vectors in MI, i.e. a maximum linearly independent vector group of the rows of Hbmin(α i ).
It is well known that in a micropolar continuum the deformation is described not only by the displacement vector but also by an independent rotation vector.
According to [2], in a micropolar continuum the deformation is described not only by the displacement vector, but also by an independent rotation vector.
The question is, if I have a conservative, or path independent vector field, why is it the gradient of something?
To avoid this problem, a new approach named independent vector analysis (IVA) has been proposed in [4].
The dependent count variable y i follows a negative binomial distribution given an independent variable vector X i, where θ represents a coefficient vector incorporated with the negative binomial probability density function.
In this paper, we characterize all the distributions F∈D′(U) such that there exists a continuous weak solution v∈C U,Cn) (with U⊂Ω) to the divergence-type equationL1⁎v1+...+Ln⁎vn= F, where {L1,…,Ln} is an elliptic system of linearly independent vector fields with smooth complex coefficients defined on Ω⊂RN.
