Laplacian operator: Difference between revisions
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<div class="definition"><div class="short_definition">( | <div class="definition"><div class="short_definition">(''Or'' Laplace operator.) The mathematical [[operator]] ∇<sup>2</sup> = '''∇''' · '''∇''' (<br/>''or'' sometimes written Δ) where '''∇''' is the [[del operator]].</div><br/> <div class="paragraph">In [[rectangular Cartesian coordinates]], the Laplacian operator may be expanded in the form <div class="display-formula"><blockquote>[[File:ams2001glos-Le6.gif|link=|center|ams2001glos-Le6]]</blockquote></div> <br/>''See'' [[Laplace equation]].</div><br/> </div> | ||
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Latest revision as of 14:34, 20 February 2012
Laplacian operator
(Or Laplace operator.) The mathematical operator ∇2 = ∇ · ∇ (
or sometimes written Δ) where ∇ is the del operator.
or sometimes written Δ) where ∇ is the del operator.
In rectangular Cartesian coordinates, the Laplacian operator may be expanded in the form
See Laplace equation.
See Laplace equation.
