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.

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

plural of Borel transform

Synonym of Hadamard transform

(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.)

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

(crime) A series of practices and philosophies aimed at rehabilitating perpetrators of crime, especially of interpersonal violence.