linear

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

   linear

   лине́йныйlinéjnyj

   ліні́йнийliníjnyj

   of or in or along or relating to a line; involving or having a single dimension

2. Of or relating to lines.

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

   a linear medium

   после́довательныйposlédovatelʹnyj

4. Long and narrow, with nearly parallel sides.

   linealisch, lineal

   (of a leaf shape) long and narrow

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.

6. 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

   linear

   лине́йныйlinéjnyj

   designating or involving an equation whose terms are of the first degree

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. 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

   linear

   линейныйlinejnyj, одномерныйodnomernyj

10. Delivered or delivering on a fixed schedule, as opposed to on-demand.

    linear TV, linear content, linear video, linear radio

    Linear television is dead or, at least, declining.

1. Tom loves non-linear differential equations.

   Том обожнює нелінійні диференціальні рівняння.

   CC0 · Tatoeba · deniko · C1Open on TatoebaReport a problem

2. Kathleen is studying linear algebra.

   Кетлін вивчає лінійну алгебру.

   CC BY · Tatoeba · Jesse · C1Open on TatoebaReport a problem

3. Grief is not linear or predictable.

   CC BY · Tatoeba · patgfisher · C1Open on TatoebaReport a problem

4. This system of linear equations has infinitely many solutions.

   ruУ этой системы линейных уравнений есть бесконечно много решений.

   CC BY · Tatoeba · C1Open on TatoebaReport a problem

5. This system of linear equations has exactly one solution.

   ruУ этой системы линейных уравнений есть ровно одно решение.

   CC BY · Tatoeba · C1Open on TatoebaReport a problem

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