Concept information
Preferred term
Laplacian
Definition(s)
- In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean space. It is usually denoted by the symbols ∇ ⋅ ∇, ∇²(where ∇ is the nabla operator), or Δ . In a Cartesian coordinate system, the Laplacian is given by the sum of second partial derivatives of the function with respect to each independent variable. In other coordinate systems, such as cylindrical and spherical coordinates, the Laplacian also has a useful form. Informally, the Laplacian Δf (p) of a function f at a point p measures by how much the average value of f over small spheres or balls centered at p deviates from f (p). (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Laplace_operator)
Broader concept(s)
Synonym(s)
- Laplace operator
In other languages
-
French
-
opérateur de Laplace
-
opérateur laplacien
URI
http://data.loterre.fr/ark:/67375/MDL-HS9X4GVN-L
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