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Riccati equation. In mathematics, a Riccati equation in the narrowest sense is any first-order ordinary differential equation that is quadratic in the unknown function. In other words, it is an equation of the form. where and . If the equation reduces to a Bernoulli equation, while if the equation becomes a first order linear ordinary ...
t. e. In mathematical analysis, Clairaut's equation (or the Clairaut equation) is a differential equation of the form. where is continuously differentiable. It is a particular case of the Lagrange differential equation. It is named after the French mathematician Alexis Clairaut, who introduced it in 1734. [1]
The Fokker-Planck equation has multiple applications in information theory, graph theory, data science, finance, economics etc. It is named after Adriaan Fokker and Max Planck, who described it in 1914 and 1917. [2] [3] It is also known as the Kolmogorov forward equation, after Andrey Kolmogorov, who independently discovered it in 1931. [4]
Redlich–Kwong equation of state. In physics and thermodynamics, the Redlich–Kwong equation of state is an empirical, algebraic equation that relates temperature, pressure, and volume of gases. It is generally more accurate than the van der Waals equation and the ideal gas equation at temperatures above the critical temperature.
Solving the equations It is important to realize that the Einstein field equations alone are not enough to determine the evolution of a gravitational system in many cases. They depend on the stress–energy tensor , which depends on the dynamics of matter and energy (such as trajectories of moving particles), which in turn depends on the ...
A rocket's required mass ratio as a function of effective exhaust velocity ratio. The classical rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket: a device that can apply acceleration to itself using thrust by expelling part of its mass with high velocity can thereby move due to the ...
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