Finding linear approximation of function at given point
For the linearization of a partial order, see Linear extension. For the linearization in concurrent computing, see Linearizability.
In mathematics, linearization is finding the linear approximation to a function at a given point. The linear approximation of a function is the first order Taylor expansion around the point of interest. In the study of dynamical systems, linearization is a method for assessing the local stability of an equilibrium point of a system of nonlinear differential equations or discrete dynamical systems.[1] This method is used in fields such as engineering, physics, economics, and ecology.
^The linearization problem in complex dimension one dynamical systems at Scholarpedia
{\displaystyle \mathbf {p} } is the linearization point of interest . Linearization makes it possible to use tools for studying linear systems to analyze the behavior...
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the output of C3 superclass linearization is a deterministic Method Resolution Order (MRO). C3 superclass linearization is called C3 because it "is consistent...
mathematics, the term linear is used in two distinct senses for two different properties: linearity of a function (or mapping); linearity of a polynomial....
Feedback linearization is a common strategy employed in nonlinear control to control nonlinear systems. Feedback linearization techniques may be applied...
difficult to solve, nonlinear systems are commonly approximated by linear equations (linearization). This works well up to some accuracy and some range for the...
In statistics, linear regression is a statistical model which estimates the linear relationship between a scalar response and one or more explanatory...
linearization (or Carleman embedding) is a technique to transform a finite-dimensional nonlinear dynamical system into an infinite-dimensional linear...
rate of 6%. Hubbert Linearization on US's oil production Hubbert curve on US's oil production The Norwegian Hubbert linearization estimates an URR = 30...
a linearization point at some instant between their invocation and their response. All functions appear to occur instantly at their linearization point...
post-distortion and feedback linearization. Most commonly used is pre-distortion linearization. The function performed by the linearizer in relation to the amplifier...
specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function)...
quasistationary solution to a nonlinear system is called linearly unstable if the linearization of the equation at this solution has the form d r / d t...
Linear algebra is the branch of mathematics concerning linear equations such as: a 1 x 1 + ⋯ + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b...
Linear Technology Corporation was an American semiconductor company that designed, manufactured and marketed high performance analog integrated circuits...
contains Linear B Unicode characters. Without proper rendering support, you may see question marks, boxes, or other symbols instead of Linear B. Linear B is...
In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose...
Local Linearization integrators have been developed. High-order local linearization (HOLL) method is a generalization of the Local Linearization method...
In mathematics, the linear span (also called the linear hull or just span) of a set S of vectors (from a vector space), denoted span(S), is defined as...
describe a nonlinear system by linearization. This is usually done for mathematical convenience. The previous definition of a linear system is applicable to...
Linear density is the measure of a quantity of any characteristic value per unit of length. Linear mass density (titer in textile engineering, the amount...
Linear logic is a substructural logic proposed by French logician Jean-Yves Girard as a refinement of classical and intuitionistic logic, joining the dualities...
said to be linearly independent if there exists no nontrivial linear combination of the vectors that equals the zero vector. If such a linear combination...
Linear referencing, also called linear reference system or linear referencing system (LRS), is a method of spatial referencing in engineering and construction...
In mathematics, a linear equation is an equation that may be put in the form a 1 x 1 + … + a n x n + b = 0 , {\displaystyle a_{1}x_{1}+\ldots +a_{n}x_{n}+b=0...
a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination...
In mathematics, linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete...
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