laplace's equation

  • 101Helmholtz equation — The Helmholtz equation, named for Hermann von Helmholtz, is the elliptic partial differential equation:( abla^2 + k^2) A = 0where abla^2 is the Laplacian, k is a constant, and the unknown function A=A(x, y, z) is defined on n dimensional… …

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  • 102Ordinary differential equation — In mathematics, an ordinary differential equation (or ODE) is a relation that contains functions of only one independent variable, and one or more of their derivatives with respect to that variable. A simple example is Newton s second law of… …

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  • 103Van der Waals equation — The van der Waals equation is an equation of state for a fluid composed of particles that have a non zero size and a pairwise attractive inter particle force (such as the van der Waals force.) It was derived by Johannes Diderik van der Waals in… …

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  • 104Linear differential equation — In mathematics, a linear differential equation is a differential equation of the form: Ly = f ,where the differential operator L is a linear operator, y is the unknown function, and the right hand side fnof; is a given function (called the source …

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  • 105Hamilton–Jacobi equation — In physics, the Hamilton–Jacobi equation (HJE) is a reformulation of classical mechanics and, thus, equivalent to other formulations such as Newton s laws of motion, Lagrangian mechanics and Hamiltonian mechanics. The Hamilton–Jacobi equation is… …

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  • 106Loi de Laplace (thermodynamique) — Pour les articles homonymes, voir Laplace. En thermodynamique, lors d une transformation isentropique d un gaz parfait, par exemple lors d une transformation adiabatique et réversible[1], la loi de Laplace est une relation qui relie la pression… …

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  • 107Debye-Hückel equation — The Debye Hückel limiting law, named for its developers Peter Debye and Erich Hückel, provides one way to obtain activity coefficients Ref|Harris. Activities, rather than concentrations, are needed in many chemical calculations because solutions… …

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  • 108Debye–Hückel equation — The Debye–Hückel equation and Debye–Hückel limiting law, were derived by Peter Debye and Erich Hückel, who developed a theory with which to calculate activity coefficients of electrolyte solutions.[1] Activities, rather than concentrations, are… …

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  • 109Porous medium equation — Die Poröse Medien Gleichung (auch englisch als porous medium equation bezeichnet) ist eine nichtlineare degenerierte parabolische partielle Differentialgleichung. Sie besitzt die Form , worin m > 1 ist und den räumlichen Laplace Operator… …

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  • 110Screened Poisson equation — In mathematics, the screened Poisson equation is the following partial differential equation::left [ abla^2 lambda^2 ight] u(mathbf{r}) = f(mathbf{r})where ² is the Laplace operator, λ is a constant, f is an arbitrary function of position (known… …

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