linear combination

Noun

Meaning

linear combination (plural linear combinations)

(linear algebra) a sum, each of whose summands is an appropriate vector times an appropriate scalar (or ring element)

Synonyms

Examples

Again, any state of the particle can be expressed as a linear combination of these two: : In vector form, you might write : depending on which basis you are using. Source: Internet

Conversely, (4) shows that any integer-valued polynomial is an integer linear combination of these binomial coefficient polynomials. Source: Internet

A fundamental theorem states that every spline function of a given degree, smoothness, and domain partition, can be uniquely represented as a linear combination of B-splines of that same degree and smoothness, and over that same partition. Source: Internet

Cramér's theorem implies that a linear combination of independent non-Gaussian variables will never have an exactly normal distribution, although it may approach it arbitrarily closely. Source: Internet

An integral domain is a Bézout domain if and only if any two elements in it have a gcd that is a linear combination of the two. Source: Internet

Every multivector of the geometric algebra can be expressed as a linear combination of the canonical basis elements. Source: Internet

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