(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.

plural of Möbius transformation