linear dependence

Noun

Meaning

(algebra, uncountable) The state of being linearly dependent

(mathematics, countable) A linear relation between some appropriate things

Examples

Note that using a hierarchical system like this (assuming it is done carefully) changes the intersection computational time from a linear dependence on the number of objects to something between linear and a logarithmic dependence. Source: Internet

Similarly, we can speak of linear dependence or independence of an arbitrary set S of vectors. Source: Internet

The subtle difference between these uses is the essence of the notion of linear dependence : a family F of vectors is linearly independent precisely if any linear combination of the vectors in F (as value) is uniquely so (as expression). Source: Internet

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