Linear transformation
Linear Lin"e*ar (l[i^]n"[-e]*[~e]r), a. [L. linearis, linearius, fr. linea line: cf. F. lin['e]aire. See 3d {Line}.] 1. Of or pertaining to a line; consisting of lines; in a straight direction; lineal. [1913 Webster]

2. (Bot.) Like a line; narrow; of the same breadth throughout, except at the extremities; as, a linear leaf. [1913 Webster]

3. Thinking in a step-by-step analytical and logical fashion; contrasted with {holistic}, i.e. thinking in terms of complex interrelated patterns; as, linear thinkers. [PJC]

Linear thinkers concluded that by taking the world apart, the actions of people were more predictable and controllable. --David Morris (Conference presentation, Fairfield University, October 31, 1997)

{Linear differential equation} (Math.), an equation which is of the first degree, when the expression which is equated to zero is regarded as a function of the dependent variable and its differential coefficients.

{Linear equation} (Math.), an equation of the first degree between two variables; -- so called because every such equation may be considered as representing a right line.

{Linear measure}, the measurement of length.

{Linear numbers} (Math.), such numbers as have relation to length only: such is a number which represents one side of a plane figure. If the plane figure is square, the linear figure is called a root.

{Linear problem} (Geom.), a problem which may be solved geometrically by the use of right lines alone.

{Linear transformation} (Alg.), a change of variables where each variable is replaced by a function of the first degree in the new variable. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • linear transformation — tiesinė transformacija statusas T sritis fizika atitikmenys: angl. linear transformation vok. lineare Transformation, f rus. линейное преобразование, n pranc. transformation linéaire, f …   Fizikos terminų žodynas

  • linear transformation — tiesinė transformacija statusas T sritis automatika atitikmenys: angl. linear transformation vok. Lineartransformation, f rus. линейное преобразование, n pranc. transformation linéaire, f …   Automatikos terminų žodynas

  • linear transformation — linear change, one dimensional change …   English contemporary dictionary

  • linear transformation — Math. a map from one vector space to a vector space having the same field of scalars, with the properties that the map of the sum of two vectors is the sum of the maps of the vectors and the map of a scalar times a vector equals the scalar times… …   Universalium

  • linear transformation — noun 1. : a transformation in which the new variables are linear functions of the old variables 2. : a function that maps the vectors of one vector space onto the vectors of the same or another vector space with the same field of scalars in such… …   Useful english dictionary

  • linear transformation — noun Date: circa 1846 1. a transformation in which the new variables are linear functions of the old variables 2. a function that maps the vectors of one vector space onto the vectors of the same or another vector space with the same field of… …   New Collegiate Dictionary

  • linear transformation — noun A map between vector spaces which respects addition and multiplication. Syn: linear map …   Wiktionary

  • Direct linear transformation — (DLT) is an algorithm which solves a set of variables from a set of similarity relations:   for where and are known vectors, denotes equality up to an unknown scalar multiplication, and …   Wikipedia

  • Linear — Lin e*ar (l[i^]n [ e]*[ e]r), a. [L. linearis, linearius, fr. linea line: cf. F. lin[ e]aire. See 3d {Line}.] 1. Of or pertaining to a line; consisting of lines; in a straight direction; lineal. [1913 Webster] 2. (Bot.) Like a line; narrow; of… …   The Collaborative International Dictionary of English

  • Linear differential equation — Linear Lin e*ar (l[i^]n [ e]*[ e]r), a. [L. linearis, linearius, fr. linea line: cf. F. lin[ e]aire. See 3d {Line}.] 1. Of or pertaining to a line; consisting of lines; in a straight direction; lineal. [1913 Webster] 2. (Bot.) Like a line;… …   The Collaborative International Dictionary of English

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