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There should really be mention of the Laplace operator on non-Euclidean spaces, e.g. -y^2(f_xx + f_yy) on the upper half-plane. Yes, the Laplacian should...

with its Levi-Civita connection ∇ {\displaystyle \nabla } the Laplace(-Beltrami) operator is defined as the trace of the Hessian. For any smooth function...

rule of succession, one of the less well-known things associated with Laplace, and so little about the many other things associated with him. Michael...

{\displaystyle \Delta =\nabla \cdot \nabla =\nabla ^{2}} is defined the Laplace operator and in the link. I don't think there will be much confusion unless...

were until after World War II usually solved by the D-operator method due to Boole. True the Laplace transform was used but almost always in connexion with...

be more verbose, but maybe "the Laplace transform operator can be defined in terms of the Fourier transform operator" would be clearer? Albie's relation...

that are the eigenfunctions of the spherical Laplacian (i.e. the Laplace-Beltrami operator of the standard sphere). In this sense these functions are the...

someone else agrees. Timhoooey (talk) 23:19, 1 November 2008 (UTC) You are wrong, sorry. Since the Laplace equation is elliptic, its solutions are automatically...

to practically compute it (when you don't want to do it in Fourier or Laplace space ). So I guess it should deserve its own paragraph. — Preceding unsigned...

article says: "The operator is called elliptic if the symbol is nonzero whenever at least one y is nonzero. Example: The Laplace operator in k variables has...

saying that Laplace transform belongs to electronics or control engineering because it is used there extensively. Just like when Laplace lived, there...

involving Laplace transforms where, instead of using Z C = 1 j ω C {\displaystyle Z_{C}={1 \over j\omega C}} the complex impedance is Z C = 1 C s {\displaystyle...

4 July 2014 (UTC) I feel that the Green's function for the 1 dimensional laplace operator should be mentioned. This is important for problems such finding...

(talk • contribs) 20:07, 19 November 2009 (UTC) I added a reference to the Laplace expansion method under "n-by-n" matrices. However, for now it is a oneliner...

Laplace was riding his horse next to a river when something big fell in the water. The waves propagated to the riverbanks and down the river. Laplace...

eigenfunctions (see the discussion above or see http://en.wikipedia.org/wiki/Laplace_operator ). I find it very misleading... --Nbonneel (talk) 12:36, 20 July 2009...

of view. 1) The article does not mention that Gauss has read Laplace (1774). Bayes (1763) was not known to the mathematicians including Laplace until the...

metric tensor is necessary (AFAICT: this is WP:OR) for any form of the Laplace operator to be well-defined. Wave equations (or harmonic equations in the Riemannian...

says that he is following up on an experiment suggested by Marquis de Laplace which is forming the first electromagnetic telegraph. It appears he does...

LTI operator H {\displaystyle \mathbb {H} } ? first exactly what does it mean for H { x 1 ( t ) + x 2 ( t ) } {\displaystyle \mathbb {H} \{x_{1}(t)+x_{2}(t)\}}...