It is known that the Standard Model describing all of the currently known elementary particles is based on the U(1)×SU(2)×SU(3) symmetry. In order to implement this symmetry on the ground of a non-flat space-time manifold one should introduce three special bundles. Some aspects of the mathematical theory of these bundles are studied in this paper. 1. The Dirac bundle and its basic fields. Spin ...

A four-dimensional deformable motion algorithm is described for use in the motion compensation of gated cardiac positron emission tomography. The algorithm makes use of temporal continuity and a non-uniform elastic material model to provide improved estimates of heart motion between time frames. Temporal continuity is utilized in two ways. First, incremental motion fields between adjacent time ...

The analysis of the present paper reveals that, besides relativistic symmetry expressed by Lorentz group coordinate transformations which leave invariant Minkowski metric space-time inertial frames, there exists one more a leaving frames with constant proper-acceleration. It is remarkable in flat space-time, only those two symmetries, corresponding to groups continuous extended rigid reference ...

Motivated by [B. Han and Q. Mo, Adv. Comp. Math. 18 (2003) 211-245] and [B. Han and Z. Shen, Constr. Approx. 29 (2009) 369-406], we propose dual two-direction frames in dual Sobolev spaces (H(R), H−s(R)), with s > 0. Based on the dual two-direction frames from a pair of two-direction refinable functions, dual multiwavelet frames with symmetry {Ψ(x) := (ψ 1(x), ψ 2(x)) T }`=1 and {Ψ̃(x) : = (ψ̃ 1(...

The next generation of Imaging Atmospheric Cherenkov Telescopes (IACTs) will open the regime between ≈ 30 GeV and 200 GeV to ground-based gamma observations with unprecedented point source sensitivity and source location accuracy. I examine the prospects of observing the unidentified objects (UNIDs) of the Third EGRET Catalog using the IACT observatories currently under construction by the CANG...

The human visual system can interpret two dimensional (2-D) line drawings like the Necker cube as three dimensional (3-D) wire frames. We focus attention on a principle to minimize the entropy of angle distribution between line segments in a 3-D wire frame as a concrete definition of the law of pragnanz in Gestalt Psychology. And we implement the principle with the perceptual preference of plan...

We prove the existence of tight frames whose elements lie on an arbitrary ellipsoidal surface within a real or complex separable Hilbert space H , and we analyze the set of attainable frame bounds. In the case whereH is real and has finite dimension, we give an algorithmic proof. Our main tool in the infinite dimensional case is a result we have proven which concerns the decomposition of a posi...