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Linear
Definitions
- 1 Having the form of a line; straight or roughly straight; following a direct course.
"The route taken does not have to be a perfectly straight line, just so long as it is linear and is followed consistently for each transect taken."
- 2 Of or relating to lines.
- 3 Made, or designed to be used, in a step-by-step, sequential manner.
"a linear medium"
- 4 Long and narrow, with nearly parallel sides.
- 5 (of polynomials or polynomial equations); 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
"4x#43;5y#43;#92;frac#123;1#125;#123;2#125;z is a linear polynomial, but 4xy#43;#92;frac#123;1#125;#123;2#125;z and 4x#43;z² are not."
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- 6 (of polynomials or polynomial equations); Involving only linear polynomials. See also Linear equation on Wikipedia.Wikipedia
"The graph of the linear equation y#61;ax#43;b is a straight line with slope a and y-intercept b"
- 7 (of functions or maps); 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
"The map f#58;#92;mathbb#123;R#125;³#92;to#92;mathbb#123;R#125;² taking (x,y,z)#92;mapsto(x#43;y#43;z,x-y#43;3z) is a linear map."
- 8 (of functions or maps); A module homomorphism; that is, a group homomorphism that commutes with scalar multiplication. See also Module homomorphism on Wikipedia.Wikipedia
- 9 A type of length measurement involving only one spatial dimension (as opposed to area or volume).
"a linear meter"
- 10 Delivered or delivering on a fixed schedule, as opposed to on-demand.
"linear TV, linear content, linear video, linear radio"
- 1 of a circuit or device having an output that is proportional to the input wordnet
- 2 of or in or along or relating to a line; involving or having a single dimension wordnet
- 3 designating or involving an equation whose terms are of the first degree wordnet
- 4 measured lengthwise wordnet
- 5 (of a leaf shape) long and narrow wordnet
- 1 A comet, cataloged as “C/1999 S4”, discovered on September 27, 1999, by the Lincoln Near-Earth Asteroid Research program in New Mexico. (See https://web.archive.org/web/20051220100856/http://www.windows.ucar.edu/tour/link=/comets/linear.html) Sometimes spelled LINEAR.
- 2 Initialism of Lincoln Near-Earth Asteroid Research program. abbreviation, alt-of, initialism
- 1 Ellipsis of linear amplifier. abbreviation, alt-of, ellipsis, slang
Etymology
Borrowed from Latin līneāris, from līnea (“line”) + -āris (adjectival suffix), equivalent to line + -ar. Doublet of lineal.
Borrowed from Latin līneāris, from līnea (“line”) + -āris (adjectival suffix), equivalent to line + -ar. Doublet of lineal.
See also for "linear"
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