The universal back-projection formula for spheri- cal means and the wave equation on certain quadric hypersurfaces. J. Math. Anal. Appl., 429(1):366-382, 2015.M. Haltmeier and S. Pereverzyev Jr., The universal back-projection formula for spherical means and the wave equation on certain ...
{ uniformfaceHeight; uniformeyesHeight; uniform sampler2D Tex0; uniform float4 TexWeightR[]; uniform float4 TexWeightG[]; uniform float4 TexWeightB[]; };{i;ret; ret =;(i =; i < num; i++) ret +=(weights[i + w_start], components[i + c_start]);ret; }{x, y, width, heigh...
CT scans acquire a substantial amount of X-ray projection from various angles and utilize a reconstruction algorithm to restore the three-dimensional structure of the target. As a result, CT scans are often volumetric data. In addition, modern ultrasound technology has also advanced to include 3D...
wherePkandPtotalare the output power of the desired output port and the total output power of all output ports respectively, when thek-th optical mode is input.ERkrepresents the extinction ratio of thek-th mode. The process of the gradient decent algorithm is as follows. (A) Randomly initiali...
The operators rj:Φ(Ω)→R are fixed nonlinear functionals (e.g., radial basis functions) that weight the output projection fields αj∈Φ(Ω′). These fields can be computed by use of the least-squares algorithm to minimize the approximation error, E=∑k=1P∥ψ^k−ψk∥2, where ...
Quantum computation features known examples of hardware acceleration for certain problems, but is challenging to realize because of its susceptibility to small errors from noise or imperfect control. The principles of fault tolerance may enable computati
spotify/annoy - Powers the approximate nearest neighbors algorithm behind most_similar_approx in Magnitude using random-projection trees and hierarchical 2-means. Thanks to author Erik Bernhardsson for helping out with some of the integration details between Magnitude and Annoy....
Second goal (refinement of first goal): Provide an efficient, polynomial time algorithm for computing \approx 2D_{\mathcal {M}} separating invariants for group actions on a ‘data manifold’ of intrinsic dimension D_{\mathcal {M}}. In our setting, we do this by starting with some continu...
The Poisson structure can be obtained by pullback along the quotient map{\mathfrak {Z}}_{\textrm{SL}_2} \rightarrow Z({\textrm{SL}_2})\backslash {\mathfrak {Z}}_{\textrm{SL}_2} \cong {\mathfrak {Z}}_{\textrm{PGL}_2}. ...
the rules library, the control means executing the selected rule by selectively referring to the combinatorial algorithm storage means and selectively generating requests for pseudo-random numbers from the random number generator to generate an output record for delivery back to the player interface unit...