# Laplacian Of Vector

This post categorized under Vector and posted on June 27th, 2018.

In mathematics and physics the vector Laplace operator denoted by named after Pierre-Simon Laplace is a differential operator defined over a vector field.The vector Laplacian is similar to the scalar Laplacian.In the mathematical field of graph theory the Laplacian matrix sometimes called admittance matrix Kirchhoff matrix or discrete Laplacian is a matrix representation of a The LaPlacian. The divergence of the gradient of a scalar function is called the Laplacian. In rectangular coordinates The Laplacian finds application in the Schrodinger equation in quantum mechanics.

Dot and cross products. Complex conjugate coordinates. Complex differential operators. Gradient divergence curl and Laplacian of complex functions.Vector Calculus Operations. Three vector calculus operations which find many applications in physics are 1. The divergence of a vector function 2. The curl of a vector Introduction to Convolution The Convolve and the closely related Correlate methods are is many ways very similar to Morphology.In fact they work in almost the exactly the same way matching up a neighbourhood kernel at each location making them a just another special method of morphology.

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