linear
Pronunciation: /ˈlɪn.i.ə/
The English word “linear” has 10 meanings listed here.
adjective
- Having the form of a line; straight or roughly straight; following a direct course.
- Of or relating to lines.
- Made, or designed to be used, in a step-by-step, sequential manner.
- Long and narrow, with nearly parallel sides.
- Having degree one; that is, being of the form a_1x_1+a_2x_2+⋯+a_nx_n+b, where each x_i is a variable. See also Linear polynomials on Wikipedia.Wikipedia
- Involving only linear polynomials. See also Linear equation on Wikipedia.Wikipedia
- An additive, homogeneous mapping; that is, a function f:V→W is linear if it distributes over vector addition (f( mathbf v+ mathbf w)=f( mathbf v)+f( mathbf w)) and respects scalar multiplication (f(c mathbf v)=cf( mathbf v)). If V and W are vector spaces over a field K, f may also be called a K-linear map. See also linear map on Wikipedia.Wikipedia
- A module homomorphism; that is, a group homomorphism that commutes with scalar multiplication. See also Module homomorphism on Wikipedia.Wikipedia
- A type of length measurement involving only one spatial dimension (as opposed to area or volume).
- Delivered or delivering on a fixed schedule, as opposed to on-demand.
Etymology
Borrowed from Latin līneāris, from līnea (“line”) + -āris (adjectival suffix), equivalent to line + -ar. Doublet of lineal.
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Definitions are from Wiktionary, extracted by Kaikki.org, and are available under the CC BY-SA 4.0 licence.