Search results for "REPRESENTATION"

Defining relations of the noncommutative trace algebra of two 3×3 matrices

2006

The noncommutative (or mixed) trace algebra $T_{nd}$ is generated by $d$ generic $n\times n$ matrices and by the algebra $C_{nd}$ generated by all traces of products of generic matrices, $n,d\geq 2$. It is known that over a field of characteristic 0 this algebra is a finitely generated free module over a polynomial subalgebra $S$ of the center $C_{nd}$. For $n=3$ and $d=2$ we have found explicitly such a subalgebra $S$ and a set of free generators of the $S$-module $T_{32}$. We give also a set of defining relations of $T_{32}$ as an algebra and a Groebner basis of the corresponding ideal. The proofs are based on easy computer calculations with standard functions of Maple, the explicit prese…

Non-consistent cell-average multiresolution operators with application to image processing

2016

In recent years different techniques to process signal and image have been designed and developed. In particular, multiresolution representations of data have been studied and used successfully for several applications such as compression, denoising or inpainting. A general framework about multiresolution representation has been presented by Harten (1996) 20. Harten's schemes are based on two operators: decimation, D , and prediction, P , that satisfy the consistency property D P = I , where I is the identity operator. Recently, some new classes of multiresolution operators have been designed using learning statistical tools and weighted local polynomial regression methods obtaining filters…

Mixed Convolutions and Zak Transforms

2015

In this chapter we introduce the mixed continuous–discrete and discrete–discrete convolutions. Important special cases of such convolutions are the polynomial and discrete splines, respectively. The Zak transforms, which are introduced in the chapter, provide integral representation of signals, which, in the following chapters, serves as a tool for the design of splines and spline-wavelets and operations over them. The exponential splines, which are the Zak transforms of polynomial and discrete B-splines are introduced. Explicit formulas for the characteristic functions of splines’ spaces are derived.

The Schur property on projective and injective tensor products

2008

The problem of whether the Schur property is passed from a Banach space to its (symmetric) projective n-fold tensor product is reformu lated in the language of polynomial ideals. As a result, a very closely related question is solved in the negative. It is also proved that the injective tensor product of infrabarrelled locally convex spaces with the Schur property has the Schur property as well.

Modeling recurrent distributions in streams using possible worlds

2015

Discovering changes in the data distribution of streams and discovering recurrent data distributions are challenging problems in data mining and machine learning. Both have received a lot of attention in the context of classification. With the ever increasing growth of data, however, there is a high demand of compact and universal representations of data streams that enable the user to analyze current as well as historic data without having access to the raw data. To make a first step towards this direction, we propose a condensed representation that captures the various — possibly recurrent — data distributions of the stream by extending the notion of possible worlds. The representation en…

Rappresentare la Post-metropoli. La Sicilia Sud-Orientale oltre gli stereotipi massmediatici.

Examining a planning discourse

2004

The aim of Participatory Design (PD) is to involve the users in the design. Even though the research has shown the success of PD projects in empowering users, little has been said about PD practices within accountable organizations. To transfer PD practices to these business organizations, we need to understand design as an institutional discourse. This paper discusses a sequence of organizational planning interaction and demonstrates how a manager represents the issues within a planning frame and why other participants are unable to act within this frame. The users and even the designer were marginalized from the planning activity. It is postulated that balancing the existing institutional…

Global responsibility: An exploratory corpus assisted discourse analysis of the Rohingya crisis in online media

2021

This study conducts an exploratory corpus-assisted discourse analysis of the representation of the Rohingya minority group across online news media in the United Kingdom. The purpose of the study is to identify and interpret the discursive patterns employed in popular online news media when depicting the Rohingya minority and associated crises affecting the group in Myanmar and worldwide. Through the use of a combination of frequency, collocation, and concordance analysis, a synchronic study was undertaken using data collected from fifteen major online news media producers in the United Kingdom. The data was collected over a period from January 2017 – August 2020 through freely accessible d…

Two Cases from Central America: Attitudes of Political Elites in Panama and Guatemala

2020

Panama and Guatemala represent two very different political experiences in the Central American region. Also their political elites show different patterns. The disparities in their recent histories, their economies, and their formal and informal institutions have impacted on their representation and composition of their elites. Both countries are characterized by the influence of economy on politics. However, while in Panama the wealth of the canal has contributed to political stability, in Guatemala the old oligarchies have preserved its power by preventing the strengthening of institutions. Nonetheless, in spite of the issues that affect each country, there may be some similarities. One …

A new representation of power spectral density and correlation function by means of fractional spectral moments

2009

In this paper, a new perspective for the representation of both the power spectral density and the correlation function by a unique class of function is introduced. We define the moments of order gamma (gamma being a complex number) of the one sided power spectral density and we call them Fractional Spectral Moments (FSM). These complex quantities remain finite also in the case in which the ordinary spectral moments diverge, and are able to represent the whole Power Spectral Density and the corresponding correlation function.