This article presents an analytic approach to study admissibility conditions related to classical full wavelet systems over finite fields using tools from computational harmonic analysis and theoretical linear algebra. It is shown that for a large class of non-zero window signals (wavelets), the generated classical full wavelet systems constitute a frame whose canonical dual are classical full ...

Suppose $G$ is a split connected‎ ‎reductive orthogonal or symplectic group over an infinite field‎ ‎$F,$ $P=MN$ is a maximal parabolic subgroup of $G,$ $frak{n}$ is‎ ‎the Lie algebra of the unipotent radical $N.$ Under the adjoint‎ ‎action of its stabilizer in $M,$ every maximal prehomogeneous‎ ‎subspaces of $frak{n}$ is determined‎.

Two polyanions [SeI V2 PdII4 WVI14 O56 H]11- and [SeI V4 PdII4 WVI28 O108 H12 ]12- are the first hybrid polyoxometalates in which classical (Group 5/6 metal based) and non-classical (late transition-metal based) polyoxometalate units are joined. Requiring no supporting groups, this co-condensation of polyoxotungstate and isopolyoxopalladate constituents also provides a logical link between POM-...

let $n$ be a submodule of a module $m$ and a minimal primary decomposition of $n$ is known‎. ‎a formula to compute baer's lower nilradical of $n$ is given‎. ‎the relations between classical prime submodules and their nilradicals are investigated‎. ‎some situations in which semiprime submodules can be written as finite intersection of classical prime submodule are stated‎.

Introduction of classical swine fever virus (CSFV) is a continuing threat to the pig production sector in the European Union. A scenario tree model was developed to obtain more insight into the main risk factors determining the probability of CSFV introduction (P(CSFV)). As this model contains many uncertain input parameters, sensitivity analysis was used to indicate which of these parameters i...

supportive in the design process. For this to be possible, computation must be understood in a broad sense, encompassing both the narrow, digital kind of computation and the more general kind of computation in which objects may only have digital approximations. It is this broad approach that we have adopted. The aspects of computation considered here are representation and process. Representati...

We report the complete genome sequence of a field isolate of classical swine fever virus (CSFV), Hunan 23/2013, belonging to the predominant subgenotype 2.1b. This strain was originally isolated from diseased pigs in Hunan Province, China. This report will help in understanding the molecular diversity of CSFV stains circulating in China and in selecting and developing a suitable vaccine candida...