Laplace formulated Laplace's equation, and pioneered the Laplace transform which appears in many branches of mathematical physics, a field that he took a leading role in forming.

Pierre-Simon, marquis de Laplace, French mathematician, astronomer, and physicist who was best known for his investigations into the stability of the solar system.

Together with Thomas Young, Laplace is credited with describing the pressure across a curved surface, as set out in the Young-Laplace equation. In theoretical physics the theory of capillary attraction is …

The Laplace transform we'll be interested in signals de ̄ned for t ̧ 0 L(f = ) the Laplace transform of a signal (function) de ̄ned by Z f is the function F

Jul 23, 2025 · Laplace transform is an integral transform used in mathematics and engineering to convert a function of time f (t) into a function of a complex variable s, denoted as F (s), where s = σ + …

The Laplace transform can be alternatively defined as the bilateral Laplace transform, or two-sided Laplace transform, by extending the limits of integration to be the entire real axis.

Laplace’s equation, second-order partial differential equation widely useful in physics because its solutions R (known as harmonic functions) occur in problems of electrical, magnetic, and …