In mathematics, time-scale calculus is a unification of the theory of difference equations with that of differential equations, unifying integral and differential calculus with the calculus of finite differences, offering a formalism for studying hybrid discrete–continuous dynamical systems. It has applications in any field that requires simultaneous modelling of discrete and continuous data. It gives a new definition of a derivative such that if one differentiates a function which acts on the real numbers then the definition is equivalent to standard differentiation, but if one uses a function acting on the integers then it is equivalent to the forward difference operator.
Read more about Time-scale Calculus: History, Dynamic Equations, Formal Definitions, Derivative, Integration, Laplace Transform and Z-transform, Partial Differentiation, Multiple Integration, Stochastic Dynamic Equations On Time Scales, Measure Theory On Time Scales, Distributions On Time Scales, Integral Equations On Time Scales, Fractional Calculus On Time Scales
Famous quotes containing the word calculus:
“I try to make a rough music, a dance of the mind, a calculus of the emotions, a driving beat of praise out of the pain and mystery that surround me and become me. My poems are meant to make your mind get up and shout.”
—Judith Johnson Sherwin (b. 1936)