Fr.: transformation affine
Fr.: transformation de couleur
Empirical mathematical transformation applied to the observed magnitudes in order to convert them into a standard system, or into a different system.
tarâdis-e Gâlile-yi (#)
Fr.: transformation galiléenne
The method of relating a measurement in one → reference frame to another moving with a constant velocity with respect to the first within the → Newtonian mechanics. The Galilean transformation between the coordinate systems (x,y,z,t) and (x',y',z',t') is expressed by the relations: x' = x - vt, y' = y, z' = z. Galilean transformations break down at high velocities and for electromagnetic phenomena and is superseded by the → Lorentz transformations.
Galilean, of or pertaining to Galileo Galilei (1564-1642), Italian physicist and astronomer; → transformation.
tarâdis-e gaz (#)
Fr.: transformation de jauge
A change of the fields of a gauge theory that does not change the value of any measurable quantity.
Fr.: transformation de Legendre
A mathematical operation that transforms one function into another. Two differentiable functions f and g are said to be Legendre transforms of each other if their first derivatives are inverse functions of each other: df(x)/dx = (dg(x)/dx)-1. The functions f and g are said to be related by a Legendre transformation.
Fr.: transformation de Lorentz
A set of linear equations that expresses the time and space coordinates of one → reference frame in terms of those of another one when one frame moves at a constant velocity with respect to the other. In general, the Lorentz transformation allows a change of the origin of a coordinate system, a rotation around the origin, a reversal of spatial or temporal direction, and a uniform movement along a spatial axis. If the system S'(x',y',z',t') moves at the velocity v with respect to S(x,y,z,t) in the positive direction of the x-axis, the Lorentz transformations will be: x' = γ(x - vt), y' = y, z' = z, t' = γ [t - (vx/c2)], where c is the → velocity of light and γ = [1 - (v/c)2]-1/2. For the special case of velocities much less than c, the Lorentz transformation reduces to → Galilean transformation.
Fr.: transformation de similarité
1) A transformation that preserves angles and changes all distances in the same ratio.
tarâdiseš (#), tarâdis (#)
1) The act or process of transforming. The state of being transformed.
Verbal noun of → transform.
tarâdis-e yekâyi, ~ yekâni
Fr.: transformation unitaire
A transformation whose reciprocal is equal to its Hermitian conjugate.