A plenty of research about thresholding methods in wavelet domain has been proposed by many authors. Multiwavelet domain can be decomposed as scalar wavelets and differently according to the structure of scaling functions. When scaling functions are symmetric-antisymmetric, the antisymmetric part is low pass filter in mathematical formula. But in practice it works as high pass filter because of...

A graph monoid is a commutative monoid for which there is a particularly simple presentation, given in terms of a quiver. Such monoids are known to satisfy various nonstable K-theoretical representability properties for either von Neumann regular rings or C*-algebras. We give a characterization of graph monoids within finitely generated antisymmetric refinement monoids. This characterization is...

In this paper, we construct a bialgebra theory for associative conformal algebras, namely antisymmetric infinitesimal bialgebras. On the one hand, it is an attempt to give structures other under certain conditions, such are equivalent double constructions of Frobenius which algebras that decomposed into direct sum another algebra and its dual as C[∂]-modules both them subalgebras natural biline...

Duality between the ‘axion’ field a and the antisymmetric tensor field Bμν is traced after a nonperturbative effect, gaugino condensation, breaks the Peccei-Quinn (PQ) symmetry a → a + c. Even though the PQ symmetry was at its origin, duality is nevertheless not broken by this effect. Below condensation scale, the axion simply gets a mass, but in the ‘stringy’ version, the Bμν field disappears ...

This paper briefly reviews the conventional method of obtaining the canonical form of an antisymmetric (skewsymmetric, alternating) matrix. Conventionally a vector space over the complex field has to be introduced. After a short introduction to the universal mathematical “language” Geometric Calculus, its fundamentals, i.e. its “grammar” Geometric Algebra (Clifford Algebra) is explained. This l...

The second paper of the series discusses the effect of thermal noise on the stretching vibrational dynamics of symmetric triatomic ABA molecules. In particular, noise-induced transitions between symmetric and antisymmetric normal-mode vibrations are discussed, in the context of symmetry breaking of vibrational dynamics. The statistics of symmetry breaking transitions and the average lifetimes o...