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The '''Laplacian''' is an [[operator]] in vector calculus. It is denoted using a nabla, <math>\nabla^2</math> For some [[scalar]] function that takes in <math>n</math> variables, <math>f(x_1, x_2,x_3,... x_n)</math>, the Laplacian may be defined as:

The '''Laplacian''' is an [[operator]] in vector calculus. It is denoted using a nabla, <math>\nabla^2</math> For some [[scalar]] function that takes in <math>n</math> variables, <math>f(x_1, x_2,x_3,... x_n)</math>, the Laplacian may be defined as:<ref>[http://mathworld.wolfram.com/Laplacian.html Laplacian] from Wolfram MathWorld</ref>

<math>

<math>

\nabla^2 f = \frac{\partial^2 f}{\partial x^2} + \frac{\partial^2 f}{\partial y^2} + \frac{\partial^2 f}{\partial z^2}

\nabla^2 f = \frac{\partial^2 f}{\partial x^2} + \frac{\partial^2 f}{\partial y^2} + \frac{\partial^2 f}{\partial z^2}

</math>

</math>

==See also==

==See also==