Pierre Simon Laplace died on March 5, 1827.
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No individual can be said to have discovered the rules of probability. Some people that made important contributions are Gerolamo Cadarno, Pierre de Fermat, Blaise Pascal and Chritiaan Huygens.Pierre-Simon Laplace wrote what many consider to be the definitive work.
find Laplace transform? f(t)=sin3t
The study of probability is not attributed to a single person. It has evolved over centuries with contributions from various mathematicians, philosophers, and scientists. Some notable contributors include Gerolamo Cardano, Pierre-Simon Laplace, and Blaise Pascal. However, the modern development of probability theory is often credited to the work of Andrey Kolmogorov in the 20th century.
Fourier transform and Laplace transform are similar. Laplace transforms map a function to a new function on the complex plane, while Fourier maps a function to a new function on the real line. You can view Fourier as the Laplace transform on the circle, that is |z|=1. z transform is the discrete version of Laplace transform.