Useful english dictionary. 2012.
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 state of being linearly independent … Wiktionary
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
