Direct and Converse Theorems for Generalized Bernstein-Type Operators

2000 Mathematics Subject Classification: 41A25, 41A27, 41A36.

The Lower Estimate for Bernstein Operator

MSC 2010: 41A10, 41A15, 41A25, 41A36

Weighted Approximation by a Class of Bernstein-Type Operators

AMS classification: 41A36, 41A10, 41A25, 41Al7.

Paläobiogeographische Aspekte am Beispiel der Inklusen des Baltischen Bernsteins unter besonderer Berücksichtigung der Steinfliegen (Insecta: Plecoptera) und ein Unterrichtsentwurf zum Thema Baltischer Bernstein und seine Inklusen für den Biologieunterricht verschiedener Schulstufen

Der erste Teil der Dissertation befasst sich mit einem Forschungsprojekt zum Thema Paläobiogeographie der Steinfliegen des Baltischen Bernsteins. Nach einer Untersuchung von über 200 Steinfliegeninklusen des 40-50 Millionen Jahre alten Baltischen Bernsteins konnten vier Neubeschreibungen zu den bisher existierenden 14 hinzugefügt werden. Bei einem Vergleich der Verbreitungshistorie rezenter Gattungen wurden auf der Basis des Aktualitätsprinzips mögliche Verbreitungsrouten der Steinfliegengattungen des Baltischen Bernsteins über die kreidezeitliche Bering Landbrücke aufgestellt. Ausgewählte Aspekte des Forschungsprojekts stellten im zweiten, didaktischen Teil der Dissertation die Basis eines für die Mittelstufe entwickelten Projektes zum Thema Bernstein und seine Inklusen dar. Das Bernsteinprojekt wurde am zdi-Schülerlabor der Universität zu Köln mit mehrern Schulklassen durchgeführt und auf der Basis der im Vorfeld formulierten Forschungsfragen formativ evaluiert.

Review article : ecological approach in studying the relation of perception-action : review of the theoretical and empirical data

In daily activities people are using a number of available means for the achievement of balance, such as the use of hands and the co-ordination of balance. One of the approaches that explains this relationship between perception and action is the ecological theory that is based on the work of a) Bernstein (1967), who imposed the problem of ‘the degrees of freedom’, b) Gibson (1979), who referred to the theory of perception and the way which the information is received from the environment in order for a certain movement to be achieved, c) Newell (1986), who proposed that movement can derive from the interaction of the constraints that imposed from the environment and the organism and d) Kugler, Kelso and Turvey (1982), who showed the way which “the degrees of freedom” are connected and interact. According to the above mentioned theories, the development of movement co-ordination can result from the different constraints that imposed into the organism-environment system. The close relation between the environmental and organismic constraints, as well as their interaction is responsible for the movement system that will be activated. These constraints apart from shaping the co-ordination of specific movements can be a rate limiting factor, to a certain degree, in the acquisition and mastering of a new skill. This frame of work can be an essential tool for the study of catching an object (e.g., a ball). The importance of this study becomes obvious due to the fact that movements that involved in catching an object are representative of every day actions and characteristic of the interaction between perception and action.

Departing from the virtual community : a discussion of the ways and means to uncover localised order in online games

This paper is part one of a three part study into the collective regulation processes of players in massive multiplayer online games (MMOG). Traditionally game playing has not been classed as problematic, however with introduction of new media technologies and new ways to play games, certain contexts have become obscure, namely the localised order of ‘playing online’ or how players manage and maintain order between each other as opposed to ‘following the rules’. Principally this paper will examine concepts of ‘virtual community’. These will be illustrated as particularly unhelpful when considering how people conduct themselves in these spaces. Thus, ‘virtual community’ will be seen as critical in implicating various online behaviours as superior to other online behaviours causing obscurity and blurring actions. This obscurity is grounded by strong associations in the virtual community as logic of practise in and of itself; behaviours that fall outside this category become common sense and as such are made invisible for investigation. This paper will draw upon the theories of Basil Bernstein and Pierre Bourdieu to produce a distinction between online behaviours and ultimately make them visible for further investigation. In doing so this paper seeks to form a basis for future research where interaction in these spaces can be identified as belonging to a certain framework to inform the design of online games and applications more effectively.

Rhetoric of landscape architecture and interior design discourses : preparation for cross-disciplinary practice

The rhetoric of the pedagogic discourses of landscape architectural students and interior design students is described as part of a doctoral study undertaken to document practices and orientations prior to cross-disciplinary collaboration. We draw on the theoretical framework of Basil Bernstein, an educational sociologist, and the rhetorical method of Kenneth Burke, a literary dramatist, to study the grammars of ‘landscape’ representation employed within these disciplinary examples. We investigate how prepared final year students are for working in a cross-disciplinary manner. The discursive interactions of their work, as illustrated by four examples of drawn images and written text, are described. Our findings suggest that we need to concern ourselves aspects of our pedagogic discourse that brings uniqueness and value to our disciplines ,as well as that shared discourses between disciplines.

Changing pedagogic codes in a class of landscape architects learning 'ecologically sustainable development'

Professional discourse in education has been the focus of research conducted mostly with teachers and professional practitioners but the work of students in the built environment has largely been ignored. This article presents an analysis of students’ visual discourse in the final professional year of a landscape architecture course in Brisbane, Australia. The study has a multi-method design and includes drawings, interviews and documentary materials, but focuses on the drawings in this paper. Using the theory of Bernstein, the analysis considers student representations as interrelations between professional identity and discretionary space for legitimate knowledge formation in landscape planning. It shows a shift in how students persuade the teacher of their expanding views of this field. The discussion of this shift centres on the professional knowledge that students choose rather than need to learn. It points to the differences within a class that a teacher must address in curriculum design in a contemporary professional course.

An integrated approach to cryptographic mitigation of denial-of-service attacks

Gradual authentication is a principle proposed by Meadows as a way to tackle denial-of-service attacks on network protocols by gradually increasing the confidence in clients before the server commits resources. In this paper, we propose an efficient method that allows a defending server to authenticate its clients gradually with the help of some fast-to-verify measures. Our method integrates hash-based client puzzles along with a special class of digital signatures supporting fast verification. Our hash-based client puzzle provides finer granularity of difficulty and is proven secure in the puzzle difficulty model of Chen et al. (2009). We integrate this with the fast-verification digital signature scheme proposed by Bernstein (2000, 2008). These schemes can be up to 20 times faster for client authentication compared to RSA-based schemes. Our experimental results show that, in the Secure Sockets Layer (SSL) protocol, fast verification digital signatures can provide a 7% increase in connections per second compared to RSA signatures, and our integration of client puzzles with client authentication imposes no performance penalty on the server since puzzle verification is a part of signature verification.