We develop a general framework for various lattice-valued, probabilistic and approach uniform convergence spaces. To this end, we use the concept of $s$-stratified $LM$-filter, where $L$ and $M$ are suitable frames. A stratified $LMN$-uniform convergence tower is then a family of structures indexed by a quantale $N$. For different choices of $L,M$ and $N$ we obtain the lattice-valued, probabili...

The standard proof of the uniform convexity of L using Clarkson’s [1] or Hanner’s [2] inequalities (see also [4]) is rarely taught in functional analysis classes, in part (the author imagines) because the proofs of those inequalities are quite non-intuitive and unwieldy. We present here a direct proof, cheerfully sacrificing the optimal bounds – for which, see [2, 4]. It fits quite nicely in wi...

Nets, useful topological tools, used to generalize certainconcepts that may only be general enough in the context of metricspaces. In this work we introduce this concept in an $S$-poset, aposet with an action of a posemigroup $S$ on it whichis a very useful structure in computer sciences and interestingfor mathematicians, and give the the concept of $S$-net. Using $S$-nets and itsconvergency we...

To support human recollection, we present a data integration method using a simple information structure called a history structure, which is constructed from time, keywords, and URI sets. We also present algorithms that generate history structures from such information usages as Web searches, twitter, e-mails, calendars, and book purchases and create a user knowledge space. Based on our approa...

We prove that a generic canonically or bicanonically embedded smooth curve has semistable m Hilbert points for all m ≥ 2. We also prove that a generic bicanonically embedded smooth curve has stable m Hilbert points for all m ≥ 3. In the canonical case, this is accomplished by proving finite Hilbert semistability of special singular curves with Gm-action, namely the canonically embedded balanced...

* * * b a L is a perceptually uniform color space and HSV approximately perceptually uniform space for representing color. But commonly used color space is RGB, which is not perceptually uniform. In this work we compare these three-color spaces for rotation invariant color texture classification. The inclusion of color aspects of texture in image processing is increasing rapidly. Gabor wavelets...

A subset A of the state space is called uniformly globally weakly attractive if for any neighborhood S of A and any bounded subset B there is a uniform finite time τ so that any trajectory starting in B intersects S within the time not larger than τ . We show that practical uniform global asymptotic stability (pUGAS) is equivalent to the existence of a bounded uniformly globally weakly attracti...

June 1, 2010 Version 0.7-0 Date 2010-04-07 Title Non-supervised Regional Frequency Analysis Author Alberto Viglione Maintainer Alberto Viglione Depends stats, graphics Description A collection of statistical tools for objective (non-supervised) applications of the Regional Frequency Analysis methods in hydrology. The package refers to the index-value method and, mo...

1. Introduction. In [4]2 the elements of a Banach algebra are separated into various classes: the regular elements, the singular elements , the null divisors, the generalized null divisors, and so forth. These classes and their interrelations are then studied in detail. In [5] transformations between Banach spaces are studied and the classes of [4], after suitable generalization, are characteri...

Abstract This paper considers the generaI properties of a jacket consisting of two closely spaced, but curved, conducting plates separated by a medium of uniform isotropic permeability and nonuniform isotropic permittivity for propagating dispersionless TEM waves. A simple form of this is a body of revolution with generalized axial propagation (generalizti coax) which can be synthesized with a ...