Survey statisticians make use of the available auxiliary information to improve estimates. One important example is given by calibration estimation, that seeks for new weights that are close (in some sense) to the basic design weights and that, at the same time, match benchmark constraints on available auxiliary information. Recently, multiple frame surveys have gained much attention and became...

We have built the research model of dual resonant frame parameter generator based on actual circuit diagram implemented in laboratory to evaluate mechanism frame, two-frequency generator. The oscillator produces desired frequency w2 which depends pump and w1. On basis model, we successfully tested dual-frequency transmitter, makes it possible manufacture RF oscillators with low phase noise, the...

For any fixed fusion frame, its optimal dual fusion frames for reconstruction is studied in case of erasures of subspaces. It is considered that a probability distribution of erasure of subspaces is given and that a blind reconstruction procedure is used, where the erased data are set to zero. It is proved that there are always optimal duals. Sufficient conditions for the canonical dual fusion ...

Numerous human genes display dual coding within alternatively spliced regions, which give rise to distinct protein products that include segments translated in more than one reading frame. To resolve the ensuing protein structural puzzle, we identified 67 human genes with alternative splice variants comprising a dual-coding region at least 75 nucleotides in length and analyzed the structural st...

Decomposition spaces are a class of function constructed out “well-behaved” coverings and partitions unity set. The structure the covering determines properties decomposition space. Besov spaces, shearlet mo

Title: Abstract: I will discuss a new decomposition of the 3D X-ray transform based on the shearlet representation, a multiscale directional representation which is optimally efficient in handling 3D data containing edge singularities. This decomposition yields a highly effective reconstruction algorithm providing a near-optimal rate of convergence in estimating piecewise smooth objects from 3D...

In this chapter, we illustrate the properties of the continuous shearlet transform with respect to its ability to describe the set of singularities of multidimensional functions and distributions. This is of particular interest since singularities and other irregular structures typically carry the most essential information in multidimensional phenomena. Consider, for example, the edges of natu...

In this paper, the tangent, binormal, normal and unit Darboux vectors of the dual curve on the one–parameter dual spherical motion are obtained with respect to a unit dual orthogonal frame for dual 3–space D.