Bistatic SAR uses transmitter and receiver flying distinct platforms. There are two main configuration types. Time invariant configuration: velocity vectors are identical and parallel to the ground. Thus, equidistance lines and lines of equal radial velocity are translated along the trajectory as time grows. Non time invariant configuration: velocity vectors are not equal. There are two princip...

in this paper, a new method is presented for the detection of defects in random textures. in the training stage, the feature vectors of the normal textures’ images are extracted by using the optimal response of gabor wavelet filters, and their probability density is estimated by means of the gaussian mixture model (gmm). in the testing stage, similar to the previous stage,at  first, the feature...

We study Sp2n(R)-invariant functionals on the spaces of smooth vectors in Speh representations of GL2n(R). For even n we give expressions for such invariant functionals using an explicit realization of the space of smooth vectors in the Speh representations. Furthermore, we show that the functional we construct is, up to a constant, the unique functional on the Speh representation which is inva...

The method of invariants is an approach to the problem of reconstructing the phylogenetic tree of a collection of m taxa using nucleotide sequence data. Models for the respective probabilities of the 4m possible vectors of bases at a given site will have unknown parameters that describe the random mechanism by which substitution occurs along the branches of a putative phylogenetic tree. An inva...

We develop a theory of isometric subgraphs of hypercubes for which a certain inheritance of isometry plays a crucial role. It is well known that median graphs and closely related graphs embedded in hypercubes bear geometric features that involve realizations by solid cubical complexes or are expressed by Euler-type counting formulae for cubical faces. Such properties can also be established for...

In this paper, we introduce and study a new topology related to a self mapping on a nonempty set.Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets ofX related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between fand To f . For insta...

In this non-exhaustive review, we discuss the importance of invariant vectors in atomic physics, such as Laplace–Runge–Lenz vector, Redmond vector presence an electric field, Landau–Avron–Sivardièrevector when system is subject to a magnetic and supergeneralized Runge–Lenz for two-center problem. The application Stark Zeeman effects are outlined. existence constants motion charge-dyon also brie...