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Electromagnetic - Tarleton State University

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... and let Ln be the nth term in the Lucas series defined by £ 0 = 2, Ll = 1, L n + 2 = L„ + 1 + L „ . In a previous paper [3], H. London and the present author considered the problem of finding all the Nth powers in the Lucas and Fibonacci series. It was shown that the problem reduces to solving certa ...
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Partial differential equation



In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. (A special case are ordinary differential equations (ODEs), which deal with functions of a single variable and their derivatives.) PDEs are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a relevant computer model.PDEs can be used to describe a wide variety of phenomena such as sound, heat, electrostatics, electrodynamics, fluid flow, elasticity, or quantum mechanics. These seemingly distinct physical phenomena can be formalised similarly in terms of PDEs. Just as ordinary differential equations often model one-dimensional dynamical systems, partial differential equations often model multidimensional systems. PDEs find their generalisation in stochastic partial differential equations.
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