(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.

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

(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.

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

(mathematics) A transform that converts a discrete time-domain signal into a complex frequency-domain representation.

plural of Borel transform

(mathematics) A transform used in Borel summation. / (mathematics) A generalization of this in Nachbin's theorem.

A kind of transformation in three-dimensional space, frequently used in geodesy to avoid distortion when converting from one datum to another.

plural of Helmert transformation

(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.