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Laplacian of the indicator

In potential theory (a branch of mathematics), the Laplacian of the indicator is obtained by letting the Laplace operator work on the indicator function of some domain D. It is a generalisation of the derivative (or "prime function") of the Dirac delta function to higher dimensions; it is non-zero only on the surface of D. It can be viewed as a surface…

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Surface delta function

Surface delta prime function

Proofs

Applications

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Laplacian of the indicator

Nodes51
Edges50
Triples15
Avg. degree1.96
Density0.039216
Components1

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Laplacian of the indicator

Top relations

related to Surface delta prime function · 7
Laplacian of the indicator → Both, Dirac, In, Laplacian, Naturally, Surface, The
related to Proof of the surface delta prime function · 4
Laplacian of the indicator → First, Laplacian, The, This
related to Surface reconstruction · 2
Laplacian of the indicator → Laplacian, The
is a · 1
Laplacian of the indicator → surface delta prime function
related to Fluid dynamics · 1
Laplacian of the indicator → The Laplacian

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Important terminology

function indicator surface delta boundary dirac laplacian domain derivative one-dimensional point one prime normal bump zero functions δ-function derivatives quantum

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Laplacian of the indicatoris asurface delta prime function0.90text
Laplacian of the indicatorrelated to Fluid dynamicsThe Laplacian0.60section
Laplacian of the indicatorrelated to Proof of the surface delta prime functionThis0.60section
Laplacian of the indicatorrelated to Proof of the surface delta prime functionLaplacian0.60section
Laplacian of the indicatorrelated to Proof of the surface delta prime functionThe0.60section
Laplacian of the indicatorrelated to Proof of the surface delta prime functionFirst0.60section
Laplacian of the indicatorrelated to Surface delta prime functionThe0.60section
Laplacian of the indicatorrelated to Surface delta prime functionDirac0.60section
Laplacian of the indicatorrelated to Surface delta prime functionIn0.60section
Laplacian of the indicatorrelated to Surface delta prime functionBoth0.60section
Laplacian of the indicatorrelated to Surface delta prime functionLaplacian0.60section
Laplacian of the indicatorrelated to Surface delta prime functionNaturally0.60section

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