system of linear equations
31Linear 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… …
32Linear motor — A linear motor or linear induction motor is essentially a multi phase alternating current (AC) electric motor that has had its stator unrolled so that instead of producing a torque (rotation) it produces a linear force along its length. The most… …
33Linear dynamical system — In a linear dynamical system, the variation of a state vector (an N dimensional vector denoted mathbf{x}) equals a constant matrix(denoted mathbf{A}) multiplied by mathbf{x}. This variation can take two forms: either as a flow, in which mathbf{x} …
34Linear-quadratic regulator — The theory of optimal control is concerned with operating a dynamic system at minimum cost. The case where the system dynamics are described by a set of linear differential equations and the cost is described by a quadratic functional is called… …
35Linear flow on the torus — In mathematics, esecially in the area of mathematical analysis known as dynamical systems theory, a linear flow on the torus is a flow on the n dimensional torus:mathbb{T}^n = underbrace{S^1 imes S^1 imes cdots imes S^1} nwhich is represented by… …
36Nonlinear 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… …
37Maxwell's equations — For thermodynamic relations, see Maxwell relations. Electromagnetism …
38Indeterminate system — An indeterminate system is a system of simultaneous equations (especially linear equations) which has infinitely many solutions or no solutions at all.ituationsAny system which has fewer unique equations than variables is indeterminate. Unique… …
39Navier–Stokes equations — Continuum mechanics …
40Non-linear least squares — is the form of least squares analysis which is used to fit a set of m observations with a model that is non linear in n unknown parameters (m > n). It is used in some forms of non linear regression. The basis of the method is to… …
