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Pierre-Simon Laplace

In Our Time: Science

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The Laplacian in Partial Differential Equations

The Laplacian is a quantity that you associate with another quantity so suppose you have a quantity that varies in space or so. It has a more mathematically precise definition than I've just given using partial differentiation but that'll do as an intuitive definition. For example if you want to understand how heat works you need the Laplacians. If you want to understanding how fluids behave you need theLaplacian.

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