Definitions for: Linear


[adj] (electronics) of a circuit or device having an output that is proportional to the input; "analogue device"; "linear amplifier"
[adj] of or in or along or relating to a line; involving a single dimension; "a linear foot"
[adj] (mathematics) directly proportional
[adj] measured lengthwise; "cost of lumber per running foot"
[adj] of a leaf shape; long and narrow



Webster (1913) Definition: Lin"e*ar (-[-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.

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

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 a 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.

Synonyms: additive, analog, analogue, bilinear, collinear, elongate, lengthways, lengthwise, lineal, linelike, one-dimensional, rectilineal, rectilinear, running(a), simple, unsubdivided

Antonyms: cubic, digital, nonlinear, planar, three-dimensional, two-dimensional

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