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Translations for „Laplace equation“ in the English » German Dictionary (Go to German » English)

Laplace equa·tion [læˌplæsɪˈkweɪʒən] N no pl MATH

Monolingual examples (not verified by PONS Editors)

English
Steady groundwater flow (Laplace equation) has been simulated using electrical, elastic and heat conduction analogies.
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Where high frequency currents are considered, with skin effect, the surface current densities and magnetic field may be obtained by solving the Laplace equation.
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The resulting pair of solutions of the Laplace equation are called conjugate harmonic functions.
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More recently, viscosity solutions to the infinity Laplace equation have been identified with the payoff functions from randomized tug-of-war games.
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These functions both satisfy the Laplace equation and the contour lines represent lines of constant head (equipotentials) and lines tangent to flowpaths (streamlines).
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There is considerable overlap between potential theory and the theory of the Laplace equation.
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A similar calculation shows that "v" also satisfies the Laplace equation.
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The Laplace equation has the convenient property that its solution is a sum over the contribution from each electrode.
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Any function that satisfies the laplace equation is a possible irrotational flow case.
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The Laplace equation can be solved using techniques, using similar assumptions stated above, but with the additional requirements of a steady-state flow field.
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