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linear transformation

線性變換

Lin·e·ar a.

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 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.

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