# Linear equation

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Linear 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; 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 equation — n. an algebraic equation whose variable quantity or quantities are in the first power only and whose graph is a straight line (Ex.: 2x + 3y 5 = 0) …   English World dictionary

• Linear equation — A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.Linear equations can have one, two, three or more variables. Linear equations occur with… …   Wikipedia

• linear equation — Math. 1. a first order equation involving two variables: its graph is a straight line in the Cartesian coordinate system. 2. any equation such that the sum of two solutions is a solution, and a constant multiple of a solution is a solution. Cf.… …   Universalium

• linear equation — tiesinė lygtis statusas T sritis fizika atitikmenys: angl. linear equation vok. lineare Gleichung, f rus. линейное уравнение, n pranc. équation linéaire, f …   Fizikos terminų žodynas

• linear equation — noun a polynomial equation of the first degree • Hypernyms: ↑equation …   Useful english dictionary

• linear equation — noun Date: 1816 an equation of the first degree in any number of variables …   New Collegiate Dictionary

• linear equation — noun A polynomial equation of the first degree (such as x = 2y 7) …   Wiktionary

• linear equation — noun an equation between two variables that gives a straight line when plotted on a graph …   English new terms dictionary

• linear equation — lin′ear equa′tion n. math. a first order equation involving two variables: its graph is a straight line in the Cartesian coordinate system …   From formal English to slang

• linear equation — /lɪniər əˈkweɪʒən/ (say lineeuhr uh kwayzhuhn) noun an equation, all of whose variables are in the first degree …   Australian English dictionary