linearとは 意味・読み方・使い方

発音

• (米国発音) IPA^(key): /ˈlɪn.i.ɚ/
  • (英国発音) IPA^(key): /ˈlɪn.i.ə/

形容詞

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. (mathematics) (of polynomials または 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.

      ${\displaystyle 4x+5y+{\frac {1}{2}}z}$ 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.

      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 または 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.

      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.
7. (physics) A type of length measurement involving only one spatial dimension (as opposed to area または volume).

   a linear meter

反意語

• nonlinear

等位語

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

派生語

名詞

linear (複数形 linears)

1. (radio slang) Ellipsis of linear amplifier..

アナグラム

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