# linear

## English

English Wikipedia has an article on:
Wikipedia

### Etymology

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

### Pronunciation

• (US) IPA(key): /ˈlɪn.i.ɚ/
•  Audio (US) (file)
• (UK) IPA(key): /ˈlɪn.i.ə/

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.
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. (of polynomials or polynomial equations)
1. (of a polynomial) Having degree less than one; that is, being of the form ${\displaystyle a_{1}x_{1}+a_{2}x_{2}+\cdots +a_{n}x_{n}}$, where each ${\displaystyle x_{i}}$ is a variable and each ${\displaystyle a_{i}}$ is a coefficient. 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. (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).

#### Translations

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

### Noun

linear (plural linears)

1. () ..

## Catalan

### Pronunciation

linear m or f (masculine and feminine plural linears)

1. linear
Synonym: lineal

## Indonesian

### Etymology

Internationalism, borrowed from Dutch lineair (linear), from French linéaire, from Latin līneāris.[1]

### Pronunciation

• IPA(key): /liˈnɛar/
• Rhymes: -ar, -r
• Hyphenation: li‧nè‧ar

linèar

1. alternative spelling of linièr (linear)

### References

1. ^ Nicoline van der Sijs (2010) Nederlandse woorden wereldwijd[1], Den Haag: Sdu Uitgevers, →ISBN, →OCLC

## Portuguese

### Pronunciation

• Hyphenation: li‧ne‧ar

linear m or f (plural lineares)

1. linear (having the form of a straight line)
2. linear (being a first-degree polynomial)
3. linear (made in a step-by-step, logical manner)

## Romanian

linear m or n (feminine singular lineară, masculine plural lineari, feminine and neuter plural lineare)

1. Alternative form of liniar

## Spanish

### Pronunciation

• IPA(key): /lineˈaɾ/ [li.neˈaɾ]
• Rhymes: -aɾ
• Syllabification: li‧ne‧ar

### Etymology 1

From Latin lineāris.

linear m or f (masculine and feminine plural lineares)

1. (botany) linear

### Etymology 2

From Latin lineāre.

#### Verb

linear (first-person singular present lineo, first-person singular preterite lineé, past participle lineado)

1. to line
2. to outline, mark out