plural of Gabor transform

(signal processing) A special case of the short-time Fourier transform, used to determine the sinusoidal frequency and phase content of local sections of a signal as it changes over time.

(signal processing) A generalized Fourier transform that performs an orthogonal, symmetric, involutive, linear operation on 2ᵐ real numbers (or complex numbers, although the Hadamard matrices themselves are purely real).

(mathematics) An integral transform closely related to the Fourier transform, but which transforms real-valued functions to real-valued functions.

(linguistics) A generative grammar, especially of a natural language, developed in the Chomskyan tradition of phrase structure grammars (as opposed to dependency grammars), and involving the use of defined operations called transformations to produce new sentences from existing ones.

plural of transformational grammar

A transformer used to transfer electrical power from a source of alternating current (AC) power to some equipment or device while galvanically isolating the device from the power source, usually for safety reasons.

An electrical transformer that reduces voltage from an electrical grid before being distributed to customers.

plural of distribution transformer

(mathematics) Given a function f(x,y,z,...) which is concave up with respect to x (i.e., its second derivative with respect to x is greater than zero), an involutive procedure for replacing x with another variable, say p=∂f/∂x thus yielding another function, say F=F(p,y,z,...). This new function contains all of the information of the original f encoded, as it were, within it so that ∂F/∂p=x and applying a similar transformation to F yields the original f. The formula is: F(p,y,z,...)=p·x(p)-f(x(p),y,z,...) where x must be expressed as a function of p. (Note: The concave upwardness means that ∂f/∂x is monotonically increasing, which means that p as a function of x is invertible, so x should be expressible as a function of p.)