Formal Definition Of Laplace Transform

Laplace is widely used integral transform in the mathematics. Laplace transform of a function f (t) denoted by Lf)t) and its related Fourier Transform

Definition of Laplace Transform is as follows:

F(s) = Lf(t) = 0 e-ft f(t) dt,

Where the parameter s is a Complex Number whose value is:

S = α+iβ,

Where α and  β are real Numbers.

Probability Theory

The general Probability Theory that is read by us in the school and colleges doesn't include the Probability in Calculus but rather is a subject of discussion in higher class Math. The probability in calculus includes the study of Statistics and probability but it is rather based upon the continuous and discrete aspect.
The probability theory in calculus uses the pow...Read More

Bilateral Laplace Transform

In Laplace Transform we perform Functions rechecking according to their instances and it comes under integral transform that is used so much. We can easily defined Laplace transform as a bilateral Laplace transform or two sided Laplace transform that can be obtained by increasing the limits of Integration for the whole real axis. This is a process like com...Read More

Inverse Laplace Transform

Laplace inverse transform is the integral part of the Laplace Transform. They are also known as fourier-Mellin integral transform because they are invented by the great mathematician Mr. Joseph Fourier and the MR Hjalmal Mellin. The Laplace inverse transform sometime known as called as Bromwich transform after the name of its inventor Mr. Thomas John L’anson...Read More