If the dynamical system is then the linearization is the dynamical system, where is the derivative of evaluated at a solution.

A process of reduction to linear form by appropriate change of variables or by approximation. For example, 1) the equation = Ae bx becomes = + bx by the transformation = log ; = log ; or 2) the function exp() can be approximated by the linear Taylor polynomial for small .

Linearization in mathematics and its applications in general refers to finding the linear approximation to a function at a given point. 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. This method is used in fields such as engineering, physics, economics, and ecology.

The process of ordering the ancestors of a multiple inheritance class into a sequential list that can be used to search for inherited definitions and resolve conflicts among them.

a total ordering of all active parallel threads that is a sequential schedule of the expressions under evaluation by these threads

a command to the printer to lay down a predefined amount of ink and also controls the linear behaviour of each CMYK channel so as to ensure that the colour shading is smooth

Table rendering process used by some screen readers and text browsers that converts table cells into a series of paragraphs that will be read one after the other in the order they are defined in the HTML code.

The process of calibrating the time values on a scanner or printer to create evenly distributed tones capable of rendering detail throughout an image.

See Optimization.