Time-scale calculus
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 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 defined on the real numbers then the definition is equivalent to standard differentiation, but if one uses a function defined on the integers then it is equivalent to the forward difference operator.
Time-scale calculus - Wikipedia Jump to content From Wikipedia, the free encyclopedia Unification of discrete and continuous theories of calculus 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 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
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