Laplace's equation

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Laplace's equation is a partial differential equation named after its discoverer Pierre-Simon Laplace.

Laplace's equation for a scalar variable in a 3D space can be written as

2 φ = 0

where the operator ∇ stands for (∂/∂x i + ∂/∂y j + ∂/∂z k)

Solutions of Laplace's equation are important in many fields of science, notably the fields of electromagnetism and astronomy.

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