plural of Lorentz transformation

(mathematics, relativity) A transformation relating the spacetime coordinates of one frame of reference to another in special relativity.

(mathematics) an integral transform of positive real function f(t) to a complex function F(s); given by:

(music) A rule that modifies a well-formed structure (in limited ways). / (grammar) A rule that takes an input and changes it in some restricted way to result in a surface structure.

(mathematical analysis, harmonic analysis, physics, electrical engineering) A particular integral transform that when applied to a function of time (such as a signal), converts the function to one that plots the original function's frequency composition; the resultant function of such a conversion.

(geometry, linear algebra) A geometric transformation that preserves lines and parallelism, but in general not lengths or angles; (more formally) an automorphism of an affine space: a mapping of an affine space onto itself that preserves both the dimension of any affine subspace and the ratio of the lengths of any pair of parallel line segments.

(geology) A geological fault separating two tectonic plates which are sliding horizontally in directions parallel with the fault line.

plural of linear transformation

(linear algebra) A map between vector spaces which respects addition and multiplication.

(geometry, complex analysis) A transformation of the extended complex plane that is a rational function of the form f(z) = (az + b) / (cz + d), where a, b, c, d are complex numbers such that ad − bc ≠ 0; an automorphism of the complex projective line.