# linear combination

Also found in: Dictionary, Wikipedia.
Related to linear combination: Linear Transformation

## linear combination

[′lin·ē·ər ‚käm·bə′nā·shən]
(mathematics)
A linear combination of vectorsv1, … ,vn in a vector space is any expression of the form a1v1+ a2v2+ ⋯ + an vn , where the ai are scalars.
References in periodicals archive ?
Several original data packets are selected for demonstration, and the linear combination of them is generated in the finite domain with random coefficient.
The number of principal components that can be obtained for p number of variables is at most p, and the principal components are formed as linear combinations of variables (29).
Initially, when the outcome was generated from a linear combination of the covariates, or when the outcome was based on pairwise interaction among the covariates, all four methods (pairwise LR, LR, pairwise PS, and SCB) perform similarly.
The general integral of the generalized Bessel equation (1) is a linear combination (18b) with arbitrary constants [C.sub.[+ or -]] of the functions of the first kind (2) for the indices (7e) provided that the indices (18a) are not integers,
In this study, selective local linear embedding (SLLE) was proposed to reconstruct a linear combination of neighborhoods in a sample region.
Phase jumps ("cycle slips") for [L.sub.i] are computed using linear combinations of [L.sub.4] (Melbourn-Wubbena) or [L.sub.6] - see (Vaclavovic and Dousa, 2016).
In the second step, an optimal linear combination of the first some bases of the subspace is found by maximizing its no-reference image quality assessment index (NR-IQA) [4].
In most practical situations, unknown [PHI] is represented by a linear combination of basis functions
The present study has sought to investigate the approximation of suitable function f(x) as a linear combination of q-Bernoulli polynomials.
The master can be a single system or a linear combination of two or more systems.
In PCA, the EEG components are decomposed on space/time basis, while, as disadvantage, it is difficult to reconstruct overall signals by the linear combination of principal components (PCs) because of the ignorance of signals with small amplitudes and irregular changes.
More generally, for any fixed k [greater than or equal to] 1, iterating the formula (11) we can express the sum [S.sub.2k-1] (n) as a linear combination of the polynomials [n.sup.2k-1-2i] [S.sub.2i] (n) in n with i = 0, 1, ..., k - 1.

Site: Follow: Share:
Open / Close