The Laplacian in Polar Coordinates The Laplacian in Spherical CoordinatesDavid, Carl W
improp′er in′tegral n. 1.a definite integral whose area of integration is infinite. 2.a definite integral in which the integrand becomes infinite at a point or points in the interval of integration. [1940–45] Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries ...
L. The spline-Laplacian in clinical neurophysiology: a method to improve EEG spatial resolution. J. Clin. Neurophysiol. Off. Publ. Am. Electroencephalogr. Soc. 8, 397–413 (1991). CAS Google Scholar Pascual-Marqui, R. D. Standardized low-resolution brain electromagnetic tomography (sLORETA)...
We consider $\\Gamma=(X,E)$ a dual polar graph and we give a tight frame on each eigenspace of the Laplacian operator associated to $\\Gamma$. We compute the constants associated to each tight frame and as an application we give a formula for the product in the Norton algebra attached...
Table 6. Topological properties of the critical point (A, B, and C) for hydrogen bonds (in atomic units) of curcumin and its complexes Cur-M (M = Ni, Cu, and Mg). Intramolecular hydrogen bonding was based on the electronic densities and their Laplacian values (Table 6 and Figure 6)...
Models tend to employ combinations of Laplacian and biharmonic operators (Chassignet and Garraffo, 2001, Hecht et al., 2008); however, a well justified parameterisation based on submescoscale physics (e.g. Lévy et al., 2010) is currently lacking. Subgridscale parameterisation is a ...
(Sq) and EEJ magnetic fields on the ground and at satellite altitude. The basis functions of these models are spherical harmonics in quasi-dipole coordinates and Fourier series describing the 24-, 12-, 8- and 6-h periodicities, as well as the annual and semiannual variations. A 1-D ...
9 RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook iterative method (redirected fromIterative procedure) iterative method [′īd·ə‚rād·iv ′meth·əd] (mathematics) Any process of successive approximation used in such problems as numerical solution of alge...
(whichmaybedefinedinanynumberofdimensions)iscalledtheLaplaceoperator,orjusttheLaplacian.BoundaryconditionsTheDirichletproblemforLaplace'sequationconsistsoffindingasolutiononsomedomainDsuchthatontheboundaryofDisequaltosomegivenfunction.SincetheLaplaceoperatorappearsintheheatequation,onephysicalinterpretationofthisproblemisas...
The function φ can develop a k-dependence only through the Laplacian appearing in the evolution equation [18]: φ + 3H(1 + c2s)φ + 2H + H2 1 + 3c2s φ + k2c2sφ = 0 (6) where c2s is the sound speed of whatever fluids constitute the universe, H is the conformal Hubble ...