This paper presents a lattice structure for adaptive Volterra systems. The stucture is applicable to arbitrary planes of support of the Volterra kernels. A fast least squares lattice and a fast QR-lattice adaptive nonlinear filtering algorithms based on the lattice structure are also presented. These algorithms share the fast convergence property of fast least squares transversal Volterra filte...

We investigate the relationships among the Pad e table, continued fraction expansions and perfect reconstruction (PR) lter banks. We show how the Pad e table can be utilized to develop a new lattice structure for general two-channel bi-orthogonal perfect reconstruction (PR) lter banks. This is achieved through characterization of all two-channel bi-orthogonal PR lter banks. The parameterization...

The correct knowledge of the physical processes that control the fluid-fluid interface displacement at the pore-level is of increasing interest due to the growing possibility of direct simulation of immiscible displacement offered by the strong development of computers’ performance and numeric methods and to the increasing accuracy in three-dimensional reconstruction methods. Flow of immiscible...

Standard elements of the lattice all monoid varieties are described. In particular, it is shown that in this lattice, property being a standard element equivalent to neutral element.

The fractional Fourier transformation is used to transform the rectangular Gabor lattice into a quin-cunx lattice. By using the isometric property of the unitary fractional Fourier transformation, the biorthog-onality relation for the rectangular lattice is transformed into a relation which holds for the quincunx lattice. Since a Gaussian function, which plays an important role as a window func...

Motivated by the Lipschitz-lifting property of Banach spaces introduced Godefroy and Kalton, we consider lattice-lifting property, which is an analogous notion within category lattices lattice homomorphisms. Namely, a X satisfies if every homomorphism to having bounded linear right-inverse must have right-inverse. In terms free lattices, this can be rephrased into following question: embed they...

An element a of a lattice cups to an element b > a if there is a c < b such that a∪c = b. An element of a lattice has the cupping property if it cups to every element above it. We prove that there are non-zero honest elementary degrees that do not have the cupping property, which answers a question of Kristiansen, Schlage-Puchta, and Weiermann [17]. In fact, we show that if b is a sufficiently ...

in this work we report synthesis and magnetic characterization of cobalt doped zno nanoparticles (with different percent of doped cobalt oxide). synthesis of the materials was carried out at room temperature by polyacrylamide-gel method, using zink sulfate and cobalt nitrate as source materials, acrylamide as monomer and n,n-methylene bisacrylamide as a lattice reagent. characterization of the ...

We study the lattice (grid) generated by the incidence vectors of cocycles of a binary matroid and its dual lattice. We characterize those binary matroids for which the obvious necessary conditions for a vector to belong to the cocycle lattice are also sufficient. This characterization yields a polynomial time algorithm to check whether a matroid has this property, and also to construct a basis...

We show that well-chosen Lagrangians for a class of two-dimensional integrable lattice equations obey a closure relation when embedded in a higher dimensional lattice. On the basis of this property we formulate a Lagrangian description for such systems in terms of Lagrangian multiforms. We discuss the connection of this formalism with the notion of multidimensional consistency, and the role of ...