linear

See also: LINEAR, Linear, and lineär

English

English Wikipedia has an article on:

linear

Wikipedia

Etymology

Borrowed from Latin līneāris, from līnea (“line”) + -āris (adjectival suffix), equivalent to line +‎ -ar. Doublet of lineal.

Pronunciation

• (UK) IPA^(key): /ˈlɪni.ə/
• (US) IPA^(key): /ˈlɪni.əɹ/
• (Indic) IPA^(key): /ˈlinɪjə(r)/

• Audio (US):

  (file)

• Rhymes: -ɪniə(ɹ)

Adjective

polynomial degrees

Previous:	constant
Next:	quadratic

linear (comparative more linear, superlative most linear)

1. Having the form of a line; straight or roughly straight; following a direct course.
   • 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:

     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.

   Synonym: lineal

3. Made, or designed to be used, in a step-by-step, sequential manner.

   a linear medium

4. (botany, of leaves) Long and narrow, with nearly parallel sides.
5. (mathematics) (of polynomials or polynomial equations)
   1. (of a polynomial) Having degree one; that is, being of the form ${\displaystyle a_{1}x_{1}+a_{2}x_{2}+\cdots +a_{n}x_{n}+b}$, where each ${\displaystyle x_{i}}$ is a variable. See also Linear polynomials on Wikipedia.Wikipedia

      ${\displaystyle 4x+5y+{\frac {1}{2}}z}$ is a linear polynomial, but ${\displaystyle 4xy+{\frac {1}{2}}z}$ and ${\displaystyle 4x+z^{2}}$ are not.

   2. (of a polynomial equation) Involving only linear polynomials. See also Linear equation on Wikipedia.Wikipedia

      The graph of the linear equation ${\displaystyle y=ax+b}$ is a straight line with slope ${\displaystyle a}$ and y-intercept ${\displaystyle b}$

6. (mathematics) (of functions or maps)
   1. (of a function between vector spaces) An additive, homogeneous mapping; that is, a function ${\displaystyle f:V\to W}$ is linear if it distributes over vector addition (${\displaystyle f(\mathbf {v} +\mathbf {w} )=f(\mathbf {v} )+f(\mathbf {w} )}$) and respects scalar multiplication (${\displaystyle f(c\mathbf {v} )=cf(\mathbf {v} )}$). If ${\displaystyle V}$ and ${\displaystyle W}$ are vector spaces over a field ${\displaystyle K}$, ${\displaystyle f}$ may also be called a ${\displaystyle K}$-linear map. See also linear map on Wikipedia.Wikipedia

      The map ${\displaystyle f:\mathbb {R} ^{3}\to \mathbb {R} ^{2}}$ taking ${\displaystyle (x,y,z)\mapsto (x+y+z,x-y+3z)}$ is a linear map.

   2. (of a function over a module) A module homomorphism; that is, a group homomorphism that commutes with scalar multiplication. See also Module homomorphism on Wikipedia.Wikipedia
7. (physics) A type of length measurement involving only one spatial dimension (as opposed to area or volume).

   a linear meter

8. (Discuss⁽⁺⁾ this sense) (media, of video and audio) Delivered or delivering on a fixed schedule, as opposed to on-demand. [From 1980s]

   Synonyms: broadcast, tune-in

   Antonyms: streaming, on-demand, non-linear

   linear TV, linear content, linear video, linear radio

   Linear television is dead or, at least, declining.

   Linear television includes traditional over-the-air broadcasting, as well as much cable and satellite broadcasting.

   • 2004, Wolfgang Hoeg, Thomas Lauterbach, editors, Digital Audio Broadcasting: Principles and Applications of Digital Radio, John Wiley & Sons, →ISBN, page 186:

     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”).

Synonyms

• linelike

Antonyms

• nonlinear

Coordinate terms

• (pertaining to length): areal, spacial, spatial
• (one-dimensional unit): cubic, 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

Translations

having the form of a line

Afrikaans: lineêr (af) Belarusian: ліне́йны (linjéjny) Bulgarian: линеен (lineen) Catalan: lineal (ca), linear (ca) Chinese: Mandarin: 线性 (zh) (xianxing) Danish: lige (da), lineær Dutch: lineair (nl) Faroese: linjurættur Finnish: suoraviivainen (fi) French: linéaire (fr) Galician: lineal (gl), linear German: linear (de) Greek: γραμμικός (el) (grammikós) Ancient: γραμμικός (grammikós) Hungarian: vonalas (hu) Icelandic: línulegur Indonesian: linear (id), linier (id), segaris (id) Italian: lineare (it) Latin: (Classical) rēctus, prōrsus (la), dīrēctus, (post-Classical) līneāris, līneālis Norwegian: lineær Polish: linearny (pl), liniowy (pl) Portuguese: linear (pt) Russian: лине́йный (ru) (linéjnyj) Spanish: lineal (es) Swedish: linjär (sv) Turkish: doğrusal (tr), lineer (tr) Ukrainian: ліні́йний (liníjnyj)

of or relating to lines

Bulgarian: линеен (lineen) Finnish: suoraviivainen (fi) Latin: līneāris, līneālis, līneārius Malay: garis (ms), garisan (ms), kegarisan, kegarisanan, linear Polish: linearny (pl), liniowy (pl) Spanish: lineal (es)

made in a step-by-step manner

Bulgarian: постъпателен (postǎpatelen) Finnish: suoraviivainen (fi), johdonmukainen (fi) Latin: gradārius Russian: после́довательный (ru) (poslédovatelʹnyj)

botany, of leaves: long and narrow

Bulgarian: please add this translation if you can Finnish: tasasoukka (fi) German: linealisch, lineal Spanish: lineal (es)

in mathematics, of first-degree polynomial

Afrikaans: lineêr (af) Bulgarian: линеен (lineen) Czech: lineární (cs) Danish: lineær Finnish: lineaarinen (fi) French: linéaire (fr) German: linear (de) Greek: γραμμικός (el) (grammikós) Italian: lineare (it) Norwegian: lineær Polish: linearny (pl), liniowy (pl) Portuguese: linear (pt) Russian: лине́йный (ru) (linéjnyj) Spanish: lineal (es) Swedish: linjär (sv), lineär (sv)

physics: involving only one dimension

Afrikaans: lineêr (af) Bulgarian: линеен (lineen) Finnish: lineaarinen (fi) German: linear (de) Polish: linearny (pl), liniowy (pl) Russian: линейный (ru) (linejnyj), одномерный (ru) (odnomernyj) Spanish: unidimensional (es)

The translations below need to be checked and inserted above into the appropriate translation tables. See instructions at Wiktionary:Entry layout § Translations.

Translations to be checked

French: (1,2) (please verify) linéaire (fr) Japanese: (please verify) リニア (ja) (rinia), (please verify) リンネル (ja) (rinneru), (please verify) 線形 (ja) (senkei 1,2), (please verify) 一次 (ja) (ichiji 2,3) Korean: (please verify) 선형 (ko) (seonhyeong) (1,2), (please verify) 일차 (ko) (ilcha) (2,3)

Noun

linear (plural linears)

1. (radio slang) Ellipsis of linear amplifier.

References

• linear on Wikipedia.Wikipedia
• “linear”, in OneLook Dictionary Search.
• William Dwight Whitney, Benjamin E[li] Smith, editors (1911), “linear”, in The Century Dictionary […], New York, N.Y.: The Century Co., →OCLC.

Anagrams

• Arline, Erlian, Irelan, Lanier, aliner, enrail, lanier, larine, nailer, renail

Catalan

Etymology

Borrowed from Latin līneāris.

Pronunciation

• IPA^(key): (Central) [li.neˈar]
• IPA^(key): (Balearic) [li.neˈa]
• IPA^(key): (Valencia) [li.neˈaɾ]

Adjective

linear m or f (masculine and feminine plural linears)

1. linear

   Synonym: lineal

Related terms

• línia

Further reading

• “linear”, in Diccionari de la llengua catalana [Dictionary of the Catalan Language] (in Catalan), second edition, Institute of Catalan Studies [Catalan: Institut d'Estudis Catalans], April 2007
• “linear”, in Gran Diccionari de la Llengua Catalana, Grup Enciclopèdia Catalana, 2025
• “linear” in Diccionari normatiu valencià, Acadèmia Valenciana de la Llengua.
• “linear” in Diccionari català-valencià-balear, Antoni Maria Alcover and Francesc de Borja Moll, 1962.

German

Etymology

Borrowed from Latin līneāris. Doublet of lineal.

Pronunciation

• IPA^(key): /lineˈaːɐ̯/

• Audio (Germany (Berlin)):

  (file)

• Rhymes: -aːɐ̯

Adjective

linear (strong nominative masculine singular linearer, comparative linearer, superlative am linearsten)

1. linear (having the form of a line; straight or roughly straight; following a direct course)

   Synonyms: gerade, geradlinig, linienförmig

2. linear; lineal (pertaining to lines)

   Synonym: zeichnerisch

3. linear (made in a step-by-step, straightforward manner)

   Synonym: geradlinig

4. (mathematics) linear (pertaining to polynomials of degree one)

   Synonym: (obsolete) linearisch

5. (physics) linear (in one dimension)

   Synonym: eindimensional

6. (art) line-drawn; lineal (drawn using line art)

Declension

Positive forms of linear

number & gender		singular			plural
		masculine	feminine	neuter
predicative		er ist linear	sie ist linear	es ist linear	sie sind linear
strong declension (without article)	nominative	linearer	lineare	lineares	lineare
	genitive	linearen	linearer	linearen	linearer
	dative	linearem	linearer	linearem	linearen
	accusative	linearen	lineare	lineares	lineare
weak declension (with definite article)	nominative	der lineare	die lineare	das lineare	die linearen
	genitive	des linearen	der linearen	des linearen	der linearen
	dative	dem linearen	der linearen	dem linearen	den linearen
	accusative	den linearen	die lineare	das lineare	die linearen
mixed declension (with indefinite article)	nominative	ein linearer	eine lineare	ein lineares	(keine) linearen
	genitive	eines linearen	einer linearen	eines linearen	(keiner) linearen
	dative	einem linearen	einer linearen	einem linearen	(keinen) linearen
	accusative	einen linearen	eine lineare	ein lineares	(keine) linearen

Comparative forms of linear

number & gender		singular			plural
		masculine	feminine	neuter
predicative		er ist linearer	sie ist linearer	es ist linearer	sie sind linearer
strong declension (without article)	nominative	linearerer	linearere	lineareres	linearere
	genitive	lineareren	linearerer	lineareren	linearerer
	dative	linearerem	linearerer	linearerem	lineareren
	accusative	lineareren	linearere	lineareres	linearere
weak declension (with definite article)	nominative	der linearere	die linearere	das linearere	die lineareren
	genitive	des lineareren	der lineareren	des lineareren	der lineareren
	dative	dem lineareren	der lineareren	dem lineareren	den lineareren
	accusative	den lineareren	die linearere	das linearere	die lineareren
mixed declension (with indefinite article)	nominative	ein linearerer	eine linearere	ein lineareres	(keine) lineareren
	genitive	eines lineareren	einer lineareren	eines lineareren	(keiner) lineareren
	dative	einem lineareren	einer lineareren	einem lineareren	(keinen) lineareren
	accusative	einen lineareren	eine linearere	ein lineareres	(keine) lineareren

Superlative forms of linear

number & gender		singular			plural
		masculine	feminine	neuter
predicative		er ist am linearsten	sie ist am linearsten	es ist am linearsten	sie sind am linearsten
strong declension (without article)	nominative	linearster	linearste	linearstes	linearste
	genitive	linearsten	linearster	linearsten	linearster
	dative	linearstem	linearster	linearstem	linearsten
	accusative	linearsten	linearste	linearstes	linearste
weak declension (with definite article)	nominative	der linearste	die linearste	das linearste	die linearsten
	genitive	des linearsten	der linearsten	des linearsten	der linearsten
	dative	dem linearsten	der linearsten	dem linearsten	den linearsten
	accusative	den linearsten	die linearste	das linearste	die linearsten
mixed declension (with indefinite article)	nominative	ein linearster	eine linearste	ein linearstes	(keine) linearsten
	genitive	eines linearsten	einer linearsten	eines linearsten	(keiner) linearsten
	dative	einem linearsten	einer linearsten	einem linearsten	(keinen) linearsten
	accusative	einen linearsten	eine linearste	ein linearstes	(keine) linearsten

References

• “linear” in Duden online