linear
Language: English
Part of speech: adj
Pronunciation: ipa: /ˈlɪni.ə/
ipa: /ˈlɪni.əɹ/
note: Indic
ipa: /ˈlinɪjə(r)/
rhymes: -ɪniə(ɹ)
Forms: form: more linear
form: most linear
Etymology: Borrowed from Latin līneāris, from līnea (“line”) + -āris (adjectival suffix), equivalent to line + -ar. Doublet of lineal.
Senses: examples: text: 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.
ref: 2019, Li Huang, James Lambert, “Another Arrow for the Quiver: A New Methodology for Multilingual Researchers”, in Journal of Multilingual and Multicultural Development, →DOI, page 4:
glosses: Having the form of a line; straight or roughly straight; following a direct course.
synonyms: lineal
glosses: Of or relating to lines.
examples: text: a linear medium
glosses: Made, or designed to be used, in a step-by-step, sequential manner.
topics: biology
botany
natural-sciences
glosses: Long and narrow, with nearly parallel sides.
raw_tags: of leaves
examples: text: 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.
topics: mathematics
sciences
glosses: (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
raw_tags: of a polynomial
examples: text: The graph of the linear equation y#61;ax#43;b is a straight line with slope a and y-intercept b
topics: mathematics
sciences
glosses: (of polynomials or polynomial equations)
Involving only linear polynomials. See also Linear equation on Wikipedia.Wikipedia
raw_tags: of a polynomial equation
examples: text: 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.
topics: mathematics
sciences
glosses: (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
raw_tags: of a function between vector spaces
topics: mathematics
sciences
glosses: (of functions or maps)
A module homomorphism; that is, a group homomorphism that commutes with scalar multiplication. See also Module homomorphism on Wikipedia.Wikipedia
raw_tags: of a function over a module
examples: text: a linear meter
topics: natural-sciences
physical-sciences
physics
glosses: A type of length measurement involving only one spatial dimension (as opposed to area or volume).
examples: text: linear TV, linear content, linear video, linear radio
text: Linear television is dead or, at least, declining.
text: Linear television includes traditional over-the-air broadcasting, as well as much cable and satellite broadcasting.
text: Linear radio relates to our well-known tune-in radio, where the listener depends on the programmers schedule. In non-linear radio applications, the listener is able to choose previously broadcast audio pieces, which are held in local storage of the receiver (“mailbox”).
ref: 2004, Wolfgang Hoeg, Thomas Lauterbach, editors, Digital Audio Broadcasting: Principles and Applications of Digital Radio, John Wiley & Sons, →ISBN, page 186:
topics: media
synonyms: broadcast
tune-in
antonyms: streaming
on-demand
non-linear
glosses: Delivered or delivering on a fixed schedule, as opposed to on-demand.
raw_tags: of video and audio
Synonyms: linelike
Coordinate terms: sense: pertaining to length
word: areal
sense: pertaining to length
word: spacial
sense: pertaining to length
word: spatial
sense: one-dimensional unit
word: cubic
sense: one-dimensional unit
word: square
Derived terms: antilinear
basolinear
bilinear
circumlinear
colinear
collinear
crosslinear
curvilinear
general linear group
hyperlinear
interlineal
interlinear
isolinear
lineal
linear algebra
linear algebraic
linear algebraic group
linear channel
linear combination
linear congruential generator
linear density
linear dependence
linear elasticity
linear equation
linear foot
linear form
linear function
linear functional
linear group
linear independence
linearise
linearism
linearithmic
linearity
linearization
linearize
linear logic
linearly
linear map
linear meter
linear metre
linear motor
linearoid
linear operator
linear order
linear pair
linear park
linear perspective
linear programming
linear regression
linear relative
linear space
linear span
linear subspace
linear sum
linear system
linear television
linear time
linear time-invariant
linear time-varying
linear transformation
linear triplet
lineartuberculate
linear TV
log-linear
matrilinear
monolinear
multilinear
non-linear
non-linear text
numerical linear algebra
ortholinear
paralinear
patrilinear
piecewise linear
piecewise-linear
plurilinear
polylinear
positive linear functional
pseudolinear
quadrilinear
quasilinear
rectified linear unit
semilinear
sesquilinear
special linear group
spherical linear interpolation
sublinear
superlinear
supralinear
translinear
trilinear
ultralinear
unilinear
vertilinear