linear independence

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linear independence

[′lin·ē·ər ‚in·də′pen·dəns]
(mathematics)
The property of a set of vectorsv1,…,vn in a vector space where if a1v1+ a2v2+ … + an vn = 0, then all the scalars ai = 0.
References in periodicals archive ?
A Gram Schmidt orthonormalization is again performed to avoid numerical errors from linear dependency.
The correlation coefficient r is used for measuring the degree of linear dependency between two variables.
In order to avoid massive numeric operations and transmitting loss, the follow algorithm is used to code and measure linear dependency.
The information participates in operations in time of coding or decoding, the cost of linear dependency measure is reduced greatly in result.
A general family of measures that is not restricted to the case of linear dependency consists of concordance measures.
495), but less linear dependency between TenS and ARC ([r.
As expected, EMC of given strands showed weak linear dependency on numbers of annual rings.
Actually, one is, in fact, dealing with a set of m GLM's whose error terms exhibit linear dependency, and this is the context in which we carry out our analysis.
k, always have linear dependency when L x k > p.
The results obtained from the previously described exercise, not surprisingly, indicates an almost linear dependency on ambient temperature for parameters [I.

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