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  2. Chapman–Kolmogorov equation - Wikipedia

    en.wikipedia.org/wiki/Chapman–Kolmogorov_equation

    In mathematics, specifically in the theory of Markovian stochastic processes in probability theory, the Chapman–Kolmogorov equation (CKE) is an identity relating the joint probability distributions of different sets of coordinates on a stochastic process.

  3. Difference Equations: From Rabbits to Chaos - Wikipedia

    en.wikipedia.org/wiki/Difference_Equations:_From...

    After an introductory chapter on the Fibonacci numbers and the rabbit population dynamics example based on these numbers that Fibonacci introduced in his book Liber Abaci, the book includes chapters on homogeneous linear equations, finite difference equations and generating functions, nonnegative difference equations and roots of characteristic polynomials, the Leslie matrix in population ...

  4. Method of characteristics - Wikipedia

    en.wikipedia.org/wiki/Method_of_characteristics

    Typically, it applies to first-order equations, though in general characteristic curves can also be found for hyperbolic and parabolic partial differential equation. The method is to reduce a partial differential equation (PDE) to a family of ordinary differential equations (ODE) along which the solution can be integrated from some initial data ...

  5. Chapman–Enskog theory - Wikipedia

    en.wikipedia.org/wiki/Chapman–Enskog_theory

    The difference in this equation from classical Chapman–Enskog theory lies in the streaming operator , within which the velocity distribution of the two particles are evaluated at different points in space, separated by , where is the unit vector along the line connecting the two particles centre of mass.

  6. Method of matched asymptotic expansions - Wikipedia

    en.wikipedia.org/wiki/Method_of_matched...

    In mathematics, the method of matched asymptotic expansions [1] is a common approach to finding an accurate approximation to the solution to an equation, or system of equations. It is particularly used when solving singularly perturbed differential equations. It involves finding several different approximate solutions, each of which is valid (i ...

  7. Thursday is Ronald Reagan's birthday: How the president ...

    www.aol.com/ronald-reagans-114th-birthday-heres...

    By the end of his first term, the economy had come “roaring back,” Inboden said. Inflation dropped from a high of 13.5% in 1980 to 4.6% come the 1984 election.

  8. Time-scale calculus - Wikipedia

    en.wikipedia.org/wiki/Time-scale_calculus

    The study of dynamic equations on time scales reveals such discrepancies, and helps avoid proving results twice—once for differential equations and once again for difference equations. The general idea is to prove a result for a dynamic equation where the domain of the unknown function is a so-called time scale (also known as a time-set ...

  9. Lectures on Theoretical Physics - Wikipedia

    en.wikipedia.org/wiki/Lectures_on_Theoretical...

    The series includes the volumes Mechanics, Mechanics of Deformable Bodies, Electrodynamics, Optics, Thermodynamics and Statistical Mechanics, and Partial Differential Equations in Physics. Focusing on one subject each semester, the lectures formed a three-year cycle of courses that Sommerfeld repeatedly taught at the University of Munich for ...