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...

Rutger-Jan (2012). "Potential theory, path integrals and the Laplacian of the indicator". Journal of High Energy Physics. 2012 (11): 29–30. arXiv:1302.0864...

function Dirac delta function Indicator function Iverson bracket Laplace transform Laplacian of the indicator List of mathematical functions Macaulay...

is possible to generalize the delta function to exist on the surface of some domain D (see Laplacian of the indicator). The delta function model is actually...

Rutger-Jan (2012), "Potential theory, path integrals and the Laplacian of the indicator", Journal of High Energy Physics, 2012 (11): 29–30, arXiv:1302.0864...

eigenfunction Distribution (mathematics) Hyperfunction Laplacian of the indicator Rigged Hilbert space Limit of a distribution Generalized space Ultradistribution...

distribution – Type of mathematical distribution Laplacian of the indicator – Limit of sequence of smooth functions Limit of distributions Mollifier – Integration...

where P(y) is the Newtonian kernel in n dimensions. Single layer potential Potential theory Electrostatics Laplacian of the indicator Courant, Richard;...

featuresPages displaying short descriptions of redirect targets Laplacian of the indicator – Limit of sequence of smooth functions Non-analytic smooth function –...

extending the notion of functions Homogeneous distribution – Type of mathematical distribution Hyperfunction – Type of generalized function Laplacian of the indicator –...

suggestion of Maxwell's. It is the name of an Egyptian harp, which was of that shape. I do not know that it is a bad name for it. Laplacian I do not like...

utilized for the Laplacian in two and three dimensions. It was investigated for all dimensions for the Laplacian by Marcel Riesz. The existence of a fundamental...

rigorously the "square root" of the (negative) Laplacian operator −Δ or the exponential e i t Δ . {\displaystyle e^{it\Delta }.} The 'scope' here means the kind...

remarked above, the Laplacian is diagonalized by the Fourier transform. Actually it is more natural to consider the negative of the Laplacian −Δ since as...

these kernels on the Swiss roll manifold. However, one can view certain other methods that perform well in such settings (e.g., Laplacian Eigenmaps, LLE)...

way to determine the values of the Laplacian matrix L {\displaystyle L} is through analyzing the geometry of connected triangles on the mesh. L i j = {...

combination of indicator functions, but the integral will be the same by the additivity of measures. Some care is needed when defining the integral of a real-valued...

approximation to the Laplacian, with the implicit normalization in the pyramid also constituting a discrete approximation of the scale-normalized Laplacian. Another...

{F}}\varphi )(\xi ).} For computational purposes, the power of the Laplacian is commuted with the dual transform R ∗ {\displaystyle R^{*}} to give: c...

satisfies the partial differential equation Δf = 0 where Δ is the Laplacian operator. Given a Brownian motion process Wt and a harmonic function f, the resulting...

fallback Capacitance – Ability of a body to store an electrical charge Newtonian potential – Green's function for Laplacian Potential theory – Harmonic functions...

mesh remains invariant. Laplacian smoothing is the most commonly used smoothing technique. Mesh generation – Subdivision of space into cells Unstructured...

Malliavin calculus. It is used in the study of stochastic processes. Laplacians and differential equations using the Laplacian can be defined on fractals. There...

average value of this quantity is exactly the total influence. The total influence can also be defined using the discrete Laplacian of the Hamming graph...

the Laplacian of the displacement field u {\displaystyle {\mathbf {u}}} , and Tr ( I ) {\displaystyle {\text{Tr}}({\mathbf {I}})} is the trace of the...

likelihood for the conditional distributions of Y|X, the Bayesian methods work with a working likelihood. A convenient choice is the asymmetric Laplacian likelihood...

ω ) . {\displaystyle \nabla F(t,\omega )=\partial _{t}F(\omega ).} The Laplacian △ {\displaystyle \triangle } ("Laplace–Beltrami operator") with − △...

user seeds (or unary terms) set to 0 or 1, in which the minimization of the indicator function over the graph is optimized with respect to an exponent p...

For the quadratic Casimir invariant, this is the Laplacian. Quartic Casimir operators allow one to square the stress–energy tensor, giving rise to the Yang-Mills...

is the Laplacian for the graph with adjacency matrix M giving pairwise similarities of tasks. This is equivalent to giving a larger penalty to the distance...