Affine vs. Linear

Affineadjective

(mathematics) Assigning finite values to finite quantities.

Linearadjective

Having the form of a line; straight.

Affineadjective

(geometry) Of or pertaining to a function expressible as $f(\backslash vec\; x)=\; A\; \backslash vec\; x\; +\; \backslash vec\; b$ (where $A$ is a linear transformation and $\backslash vec\; b$ is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points.

Linearadjective

Of or relating to lines.

Affineadjective

Of two materials, having mutual affinity.

Linearadjective

Made in a step-by-step, logical manner.

Affinenoun

A relative by marriage.

Linearadjective

Long and narrow, with nearly parallel sides.

Affineverb

To refine.

Linearadjective

(mathematics) Of or relating to a class of polynomial of the form $y\; =\; ax\; +\; b$.

Affineverb

To refine.

Linearadjective

(physics) A type of length measurement involving only one spatial dimension as opposed to area or volume.

‘a linear meter’;

Affinenoun

(anthropology) kin by marriage

Linearadjective

Of or pertaining to a line; consisting of lines; in a straight direction; lineal.

Affineadjective

related by marriage

Linearadjective

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

Linearadjective

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.

‘Linear thinkers concluded that by taking the world apart, the actions of people were more predictable and controllable.’;

Linearadjective

designating or involving an equation whose terms are of the first degree

Linearadjective

of or in or along or relating to a line; involving a single dimension;

‘a linear foot’;

Linearadjective

of a circuit or device having an output that is proportional to the input;

‘analogue device’; ‘linear amplifier’;

Linearadjective

of a leaf shape; long and narrow

Linearadjective

measured lengthwise;

‘cost of lumber per running foot’;

Linearadjective

arranged in or extending along a straight or nearly straight line

‘linear movement’;

Linearadjective

consisting of or predominantly formed using lines or outlines

‘simple linear designs’;

Linearadjective

involving one dimension only

‘linear elasticity’;

Linearadjective

able to be represented by a straight line on a graph

‘linear functions’;

Linearadjective

involving or exhibiting directly proportional change in two related quantities

‘linear relationship’;

Linearadjective

progressing from one stage to another in a single series of steps; sequential

‘a linear narrative’;