Let Mn,m be the set of all n × m matrices with entries in F, where F is the field of real or complex numbers. A matrix R ∈ Mn with the property Re=e, is said to be a g-row stochastic (generalized row stochastic) matrix. Let A,B∈ Mn,m, so B is said to be gw-majorized by A if there exists an n×n g-row stochastic matrix R such that B=RA. In this paper we characterize all linear operators that stro...

This paper considers the problem of constructing a normatively significant multidimensional Gini index of relative inequality. The social evaluation relation (SER) from which the index is derived is required to satisfy a weak version of the Pigou-Dalton Bundle Principle (WPDBP) (rather than Uniform Majorization or similar conditions). It is also desired to satisfy a weak form of the condition o...

The Poincaré-Miranda Theorem is a topological result about the existence of a zero of a function under particular boundary conditions. In this thesis, we explore proofs of the Poincaré-Miranda Theorem that are discrete in nature that is, they prove a continuous result using an intermediate lemma about discrete objects. We explain a proof by Tkacz and Turzański that proves the Poincaré-Miranda T...

In the managerially oriented studies that dominate the field of green marketing, the focus is on understanding how to accomplish the marketing of green products in an efficient and profitable manner (see also Ählström, Macquet, & Richter, 2009; Kilbourne, 1998b; Meriläinen, Moisander, & Pesonen, 2000). These studies set out to profile the green consumer (e.g., Baker, Thompson, & Engelken, 2004;...

The Space Between Us: Evaluating a multi-user affective brain-computer music interface Joel Eaton, Duncan Williams & Eduardo Miranda To cite this article: Joel Eaton, Duncan Williams & Eduardo Miranda (2015) The Space Between Us: Evaluating a multi-user affective brain-computer music interface, Brain-Computer Interfaces, 2:2-3, 103-116, DOI: 10.1080/2326263X.2015.1101922 To link to this article...

Mailing Address: Helen Hermana Miranda Hermsdorff Universidade Federal de Viçosa, Departamento de Nutrição e Saúde. Avenida PH Rolfs s/n Campus Universitário. Postal Code: 36570-900, Viçosa, MG – Brazil E-mail: [email protected] Are Body Fat and Uric Acid associated with Cardiovascular Risk Scores? Cross-Sectional Analysis in the PROCARDIO-UFV Trial Juliane Soares Rodrigues, Alinne Paula de A...

Horn’s Theorem plays an important role in the theory of matrix majorization and elsewhere. We give a simple proof of it, as well as a related theorem of Mirsky.

In this paper we extend the majorization theorem from convex to covexifiable functions, in particular to smooth functions with Lipschitz derivative, twice continuously differentiable functions and analytic functions. AMS subject classifications: 26B25, 52A40, 26D15