linearly dependent system
1System of linear equations — In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables. For example,:egin{alignat}{7}3x ; + ; 2y ; ; z ; = ; 1 2x ; ; 2y ; + ; 4z ; = ; 2 x ; + ; frac{1}{2} y ; ; z …
2Overdetermined system — For the philosophical term, see overdetermination. In mathematics, a system of linear equations is considered overdetermined if there are more equations than unknowns.[1] The terminology can be described in terms of the concept of counting… …
3Set system of finite character — A family mathcal{F} of sets is of finite character provided it has the following properties: #For each Ain mathcal{F}, every finite subset of A belongs to mathcal{F}. #If every finite subset of a given set A belongs to mathcal{F}, then A belongs… …
4Reaction–diffusion system — Reaction–diffusion systems are mathematical models which explain how the concentration of one or more substances distributed in space changes under the influence of two processes: local chemical reactions in which the substances are transformed… …
5Nonlinear system — Not to be confused with Non linear editing system. This article describes the use of the term nonlinearity in mathematics. For other meanings, see nonlinearity (disambiguation). In mathematics, a nonlinear system is one that does not satisfy the… …
6Nonholonomic system — A nonholonomic system in physics and mathematics is a system whose state depends on the path taken to achieve it. Such a system is described by a set of parameters subject to differential constraints, such that when the system evolves along a… …
7Time-variant system — A time variant system is a system, that is not time invariant(TIV). Overview There are many well developed techniques for dealing with the response of linear time invariant systems, such as Laplace and Fourier transforms. However, these… …
8Linear 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… …
9Ordinary least squares — This article is about the statistical properties of unweighted linear regression analysis. For more general regression analysis, see regression analysis. For linear regression on a single variable, see simple linear regression. For the… …
10Basis (linear algebra) — Basis vector redirects here. For basis vector in the context of crystals, see crystal structure. For a more general concept in physics, see frame of reference. In linear algebra, a basis is a set of linearly independent vectors that, in a linear… …
