Fr.: regression linéaire
In statistics, a regression method that establishes a linear relationship between two random variables.
Fr.: taille linéaire
The real, physical size, as opposed to angular size.
Fr.: système linéaire
Physics: A → dynamical system whose evolution is a linear process. If a change in any variable at some initial time produces a change in the same or some other variable at some later time, twice as large a change at the same initial time will produce twice as large a change at the same later time.
Fr.: vitesse linéaire
The rate of change of the position of an object that is traveling along a straight path. In other words, the velocity of an object when its moving direction is not changing. For a given → angular velocity (ω), the linear velocity v of the particle is directly proportional to the distance of the particle from the center of the circular path: v = ω ×r.
The property, condition, or state of being linear.
A process of reduction to linear form by appropriate change of variables or by approximation.
Verbal noun of → linearize.
To make linear; give linear form to.
linearized differential equation
hamugeš-e degarsâneyi-ye xatti
Fr.: équation différentielle linéarisée
A differential equation that has been derived from an original nonlinear equation.
In a manner characterized by first-degree algebraic terms.
Adverb of → linear.
Fr.: linéairement dépendant
A set of objects x1, x2, ..., xn (→ vectors, → matrices, → polynomials, etc.) on a given set if there is a linear combination of them: a1x1 + a2x2 + ... + anxn, which is zero, but at least one of the coefficients is non-zero. For example the binomials (2x + y) and (6x + 3y) are linearly dependent, since 3(2x + y) - (6x + 3y) = 0.
Fr.: linéairement indépendant
1) A set of objects x1, x2, ..., xn
(→ vectors, → matrices,
→ polynomials, etc.) if it si not
→ linearly dependent.
linearly polarized light
nur-e qotbide-ye xatti
Fr.: lumière polarisée linéairement
Light exhibiting → linear polarization.
nonhomogeneous linear differential equation
hamugeš-e degarsâne-yi-ye xatti nâhamgen
Fr.: équation différentielle linéaire non homogène
A → linear differential equation if Q(x)≠ 0 on interval I.
Not a linear function of the relevant variables.
Fr.: dispositif non-linéaire
An electronic device whose output is not directly proportional to its input. For example, in a → diode the current is a nonlinear function of the voltage; its voltage-current characteristics do not obey → Ohm's law.
Fr.: dynamique non-linéaire
Same as → chaos.
Fr.: instabilité non-linéaire
The instability of a physical or mathematical system that arises from the nonlinear nature of relevant variables and their interactions within the system.
Fr.: système non-linéaire
A system in which small changes can result in large effects, and large changes in small effects.
The property, condition, or state of being → nonlinear.
Fr.: théorie quasi-linéaire
In plasma physics, the theory that considers the interactions between waves and particles are of first order only. It ignores all terms of second order in the fluctuating quantities.