G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection between g-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a bounded operator.

This paper presents a proposal and a call for participation in the long-range development of an open, multifunctional, multilingual system for integrated access to many kinds of ontological and lexical knowledge that would support, among many other functions, software localization and CASE tool databases for multinational development teams. A SemWeb system would provide integrated access to exi...

Perfect bases for equational theories are closely related to confluent and finitely terminating term rewrite systems. The two classes have a large overlap, but neither contains the other. The class of perfect bases is recursive. We also investigate a common generalization of both concepts; we call these more general bases normal, and touch the question of their uniqueness. We also give numerous...

This paper provides a synthesis of text-based Question Answering (QA) approaches, with emphasis on models exploiting structured representations of texts, and recent QA approaches for knowledge bases. Our goal is to show the common issues, and to identify what can be a common approach, using both the relations from textual documents and the triplets from knowledge bases. We present a few works u...

The aim of this work was to develop and employ software for the study of the common carotid artery and its branches in the neck. We first constructed geometric models of anatomic components, for the building of knowledge bases to be used in automatic feature extraction techniques from images. Then, we developed a software system characterised by three-dimensional visualisation, image processing...

We will present Common Knowledge (CK) – a pedagogical and technological innovation that supports teacher orchestration of inquiry discourse occurring in the digital and classroom environments. We designed CK to support a “knowledge community” pedagogy where students add their own ideas, build on peers’ contributions, and structure their inquiry. Using tablets, students contributed to a knowledg...