Sentence examples for expressed a linear combination from inspiring English sources

We also note that, since Q can be expressed a linear combination of permutation matrices representing elements in a group G, the matrix powers Q, Q, Q… will also be expressible as linear combinations of the same permutation matrices (although precise expressions for the relevant coefficients may or may not be easily computable).

PCA components express a linear combination of the metabolites levels weighted by the component's loading values.

In the method, the solution for the steady state vibration is expressed as a linear combination of the Floquet eigenvectors, which are orthogonal with respect to solutions of the associated adjoint problem.

Any steady state x∗ can be expressed as a linear combination of the basis vectors in Equation 8.

In this dataset, each miRNA was expressed by a linear combination of the expressions of all its targets for each sample.

It also follows that the state price vector can be expressed as a linear combination of basis assets and therefore lies in the payoff space.

The stress and strain distribution in the beam is expressed as a linear combination of the fundamental state solutions and stress and strain residuals that capture the parts of the solution not accounted for by the fundamental states.

Since y = Φ T x T and Φ T k is a submatrix of Φ T, r k ∈ span (Φ T ) and hence r k can be expressed as a linear combination of the |T| (= K) columns of Φ T. Accordingly, we can express r k as r k = Φxk where the support (set of indices for nonzero elements) of x k is contained in the support of x.

Referring to a multinomial logit structure, this probability can be expressed as: Open image in new window (3)where V o is the systematic utility of zone o, that can be expressed as a linear combination of attributes; I d is the set of possible origin zones within the study area from which freight can arrive to zone d; θ o is the parameter of the Gumbel random variable.

X-ray attenuation of any material can be expressed as a linear combination of photoelectric and Compton scatter coefficients and, by extension, the attenuation coefficients at low energy and high energy can be expressed as the attenuation contributions from a predefined pair of basis materials [4].

We first note that the expression for a multiexponential decay as described by Equation (1) may be expressed as a linear combination of nonlinear functions (i.e., the exponential functions).