linear independence
Look at other dictionaries:
Linear independence — In linear algebra, a family of vectors is linearly independent if none of them can be written as a linear combination of finitely many other vectors in the collection. A family of vectors which is not linearly independent is called linearly… … Wikipedia
linear independence — noun Date: 1907 the property of a set (as of matrices or vectors) having no linear combination of all its elements equal to zero when coefficients are taken from a given set unless the coefficient of each element is zero • linearly independent… … New Collegiate Dictionary
linear independence — noun : the property of one set (as of matrices or vectors) of having no linear combination of its elements equal to zero when the coefficients are taken from another given set unless the coefficient of each element is zero • linearly independent… … Useful english dictionary
Independence (disambiguation) — Independence is the self government of a nation, country, or state by its residents and population.Independence may also mean:;In mathematics: *Independence (mathematical logic), Logical independence *Linear independence *Statistical independence … Wikipedia
Linear algebra — R3 is a vector (linear) space, and lines and planes passing through the origin are vector subspaces in R3. Subspaces are a common object of study in linear algebra. Linear algebra is a branch of mathematics that studies vector spaces, also called … Wikipedia
Linear combination — In mathematics, linear combinations are a concept central to linear algebra and related fields of mathematics.Most of this article deals with linear combinations in the context of a vector space over a field, with some generalisations given at… … Wikipedia
Linear map — In mathematics, a linear map, linear mapping, linear transformation, or linear operator (in some contexts also called linear function) is a function between two vector spaces that preserves the operations of vector addition and scalar… … Wikipedia
Independence-friendly logic — (IF logic), proposed by Jaakko Hintikka and Gabriel Sandu, aims at being a more natural and intuitive alternative to classical first order logic (FOL). IF logic is characterized by branching quantifiers. It is more expressive than FOL because it… … Wikipedia
Linear regression — Example of simple linear regression, which has one independent variable In statistics, linear regression is an approach to modeling the relationship between a scalar variable y and one or more explanatory variables denoted X. The case of one… … Wikipedia
Linear extension — In order theory, a branch of mathematics, a linear extension of a partial order is a linear order (or total order) that is compatible with the partial order. Contents 1 Definitions 2 Order extension principle 3 Related results … Wikipedia
