The Gauss-Kronecker curvature of minimal hypersurfaces in four-dimensional space forms

LetQ(4)( c) be a four-dimensional space form of constant curvature c. In this paper we show that the infimum of the absolute value of the Gauss-Kronecker curvature of a complete minimal hypersurface in Q(4)(c), c <= 0, whose Ricci curvature is bounded from below, is equal to zero. Further, we study the connected minimal hypersurfaces M(3) of a space form Q(4)( c) with constant Gauss-Kronecker curvature K. For the case c <= 0, we prove, by a local argument, that if K is constant, then K must be equal to zero. We also present a classification of complete minimal hypersurfaces of Q(4)( c) with K constant.

A FREE BOUNDARY ISOPERIMETRIC PROBLEM IN HYPERBOLIC 3-SPACE BETWEEN PARALLEL HOROSPHERES

We investigate the isoperimetric problem of finding the regions of prescribed volume with minimal boundary area between two parallel horospheres in hyperbolic 3-space (the part of the boundary contained in the horospheres is not included). We reduce the problem to the study of rotationally invariant regions and obtain the possible isoperimetric solutions by studying the behavior of the profile curves of the rotational surfaces with constant mean curvature in hyperbolic 3-space. We also classify all the connected compact rotational surfaces M of constant mean curvature that are contained in the region between two horospheres, have boundary partial derivative M either empty or lying on the horospheres, and meet the horospheres perpendicularly along their boundary.

Professional identity and pedagogical space : negotiating difference in teacher workplaces

This paper explores ‘spatial struggle’ in the formation of professional identities of overseas born teachers. The basis of this struggle arises from a limited number of subject positions available for them in pedagogical spaces of the Australian system of education. We argue that relations of power/professional knowledge in teacher workplaces as well as the binary strategy of ‘us’ and ‘them’ generate marginal locations for overseas born teachers within schools. This construction of marginality is informed not only by discourses of what counts as being a professional but also by the conception of workplace – spaces of the school, staffroom and classroom – as monocultural, pre-given and bounded entities (McGregor, 2003). By rethinking workplaces as relational, as spaces that are connected to other sociocultural places as well as spaces of semiotic flows, we can also rethink the professional becoming of overseas born teachers. This involves a critical understanding of their positionality, which can be conceptualised as a struggle for voice within “a cacophony of past and present voices, lived experiences and available practices” (Britzman, 1991, p.8). It is because of this polyphony of voices and multiplicity of experiences that the process of professional identity formation for ‘alien’ teachers should be seen as becoming in continual negotiation of power/knowledge relations within workplaces. Recognising this dynamic is important for re-constructing our pedagogical spaces and, in turn, for a more equitable workplace practices.

Professional identity and pedagogical space : negotiating difference in teacher workplaces

This paper explores "spatial struggle" in the formation of professional identities of overseas-born teachers. The basis of this struggle arises from a limited number of subject positions available for them in pedagogical spaces of the Australian system of education. We argue that relations of power/professional knowledge in teacher workplaces as well as the binary strategy of "us" and "them" generate marginal locations for overseas-born teachers within schools. This construction of marginality is informed not only by discourses of what counts as being a professional but also by the conception of workplace as a monocultural, pre-given and bounded entity. By rethinking workplaces as relational, as locations that are connected to other socioculturally produced places through spaces of semiotic flows, we can also rethink the professional becoming of overseas-born teachers. This involves a critical understanding of their situationality, which can be conceptualised as a struggle for professional recognition, voice and place within the real and imagined communities of teachers.

Perceptions of change in office space design: redesigning Barwon Water’s office environment

In early 2015 Barwon Water received State government funding to rationalise and renovate its various Geelong-based administrative offices into one complex. Integral to the renovations is a new green-star retrofit of the existing Ryrie Street complex by GHD Woodhead. The project will consolidate all of Barwon Water’s offices onto one site, increase floor space, provide a new ‘green’ atrium, and adopt an open plan layout. Having set a new strategic direction, Barwon Water is now undergoing a wholesale cultural and operational change in order to realise these strategic objectives. Aspirations for workplace design have been identified as: environmentally sustainable; foster innovation and creativity; establish connections; improve communication and collaboration; provide efficient space for effective work; flexibility over time; welcoming and connected to the community; healthy; and, up to date technology. This paper investigates Barwon Water staff perceptions and apprehensions of this prospective consolidation, particularly the proposed open plan office environment. While most research in this topic is informed by an immediate pre-design workshop of staff needs, this research provides a longitudinal perspective of human perceptions about work place environment change and a review of how changes in office environment synergistically align to architectural responses and changes in corporate strategies.

Casimir energy in a small volume multiply connected static hyperbolic preinflationary universe

A few years ago, Cornish, Spergel and Starkman (CSS) suggested that a multiply connected small universe could allow for classical chaotic mixing as a preinflationary homogenization process. The smaller the volume, the more important the process. Also, a smaller universe has a greater probability of being spontaneously created. Previously DeWitt, Hart and Isham (DHI) calculated the Casimir energy for static multiply connected fat space-times. Because of the interest in small volume hyperbolic universes (e.g., CSS), we generalize the DHI calculation by making a numerical investigation of the Casimir energy for a conformally coupled, massive scalar field in a static universe, whose spatial sections are the Weeks manifold, the smallest universe of negative curvature known. In spite of being a numerical calculation, our result is in fact exact. It is shown that there is spontaneous vacuum excitation of low multipolar components.

Connection space approach to ambiguities of gauge theories

Two distinct gauge potentials can have the same field strength, in which case they are said to be copies of each other. The consequences of this ambiguity for the general affine space A of gauge potentials are examined. Any two potentials are connected by a straight line in A, but a straight line going through two copies either contains no other copy or is entirely formed by copies. Copyright © 2005 Hindawi Publishing Corporation.

Three-phase tri-state integrated boost inverter with special space vector and dq0 control

This paper presents a three-phase integrated inverter suitable for stand-alone and grid-connected applications. Furthermore, the utilization of the special features of the tri-state coupled with the new space vector modulation allows the converter to present an attractive degree of freedom for the designing of the controllers. Additionally, the control is derived through dq0 transformation, all the system is described and interesting simulation results are available to confirm the proposal. © 2012 IEEE.

Strategies to reduce the number of variables and the combinatorial search space of the multistage transmission expansion planning problem

This paper proposes strategies to reduce the number of variables and the combinatorial search space of the multistage transmission expansion planning problem (TEP). The concept of the binary numeral system (BNS) is used to reduce the number of binary and continuous variables related to the candidate transmission lines and network constraints that are connected with them. The construction phase of greedy randomized adaptive search procedure (GRASP-CP) and additional constraints, obtained from power flow equilibrium in an electric power system are employed for more reduction in search space. The multistage TEP problem is modeled like a mixed binary linear programming problem and solved using a commercial solver with a low computational time. The results of one test system and two real systems are presented in order to show the efficiency of the proposed solution technique. © 1969-2012 IEEE.

The triple near-Earth asteroid (153591) 2001 SN263: an ultra-blue, primitive target for the Aster space mission

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Contingencies for Intercultural Dialogue in Virtual Space: An Empirical Research on the Role of Internet in Fostering Intercultural Competences from the Perspective of Migrant Youth

Against the background of the emerging multicultural migration society, acquisition of intercultural competences is getting vitally important for youngsters to actively and effectively engage with intercultural dialogue in a co-existent life context. Contingencies for such intercultural dialogue and to foster intercultural competences of youngsters are opened in virtual space when youth with different ethnic, social and cultural background go online. However, differences in Internet use and competences acquisition as “digital inequality” also exist among youth with different socio-cultural background. This article reports on a quantitative survey of 300 Turkish migrant youth in Germany as empirical sample about how Internet use generally fosters their intercultural competences, what differences exist among them and which indicators can explain the differences. Preliminary findings show that the contingencies of Internet in fostering intercultural competences are still not much employed and realised by Turkish migrant youth. Four online groups connected with bonding, bridging, both (bonding and bridging) and none socio-cultural networks are found out based on the cluster analysis with SPSS. These different networks, from the perspective of social cultural capital, can explain the differences concerning development of intercultural competences among them. It is indicated in this research that many Turkish migrant youth still lack recognition and capabilities to construct their intercultural social networks or relations through using Internet and further to employ the relations as intercultural social capital or social support in their life context. This therefore poses a critical implication for youth work to help migrant youth construct and reconstruct their socio-cultural networks through using Internet so as to extend social support for competences acquisition.

Characterization of granite matrix porosity and pore-space geometry by in situ and laboratory methods

Most available studies of interconnected matrix porosity of crystalline rocks are based on laboratory investigations; that is, work on samples that have undergone stress relaxation and were affected by drilling and sample preparation. The extrapolation of the results to in situ conditions is therefore associated with considerable uncertainty, and this was the motivation to conduct the ‘in situ Connected Porosity’ experiment at the Grimsel Test Site (Central Swiss Alps). An acrylic resin doped with fluorescent agents was used to impregnate the microporous granitic matrix in situ around an injection borehole, and samples were obtained by overcoring. The 3-D structure of the porespace, represented by microcracks, was studied by U-stage fluorescence microscopy. Petrophysical methods, including the determination of porosity, permeability and P -wave velocity, were also applied. Investigations were conducted both on samples that were impregnated in situ and on non-impregnated samples, so that natural features could be distinguished from artefacts. The investigated deformed granites display complex microcrack populations representing a polyphase deformation at varying conditions. The crack population is dominated by open cleavage cracks in mica and grain boundary cracks. The porosity of non-impregnated samples lies slightly above 1 per cent, which is 2–2.5 times higher than the in situ porosity obtained for impregnated samples. Measurements of seismic velocities (Vp ) on spherical rock samples as a function of confining pressure, spatial direction and water saturation for both non-impregnated and impregnated samples provide further constraints on the distinction between natural and induced crack types. The main conclusions are that (1) an interconnected network of microcracks exists in the whole granitic matrix, irrespective of the distance to ductile and brittle shear zones, and (2) conventional laboratory methods overestimate the matrix porosity. Calculations of contaminant transport through fractured media often rely on matrix diffusion as a retardation mechanism.

Exceptional or just well connected? Political entrepreneurs and brokers in policy making

Policy brokers and policy entrepreneurs are assumed to have a decisive impact on policy outcomes. Their access to social and political resources is contingent on their influence on other agents. In social network analysis (SNA), entrepreneurs are often closely associated with brokers, because both are agents presumed to benefit from bridging structural holes; for example, gaining advantage through occupying a strategic position in relational space. Our aim here is twofold. First, to conceptually and operationally differentiate policy brokers from policy entrepreneurs premised on assumptions in the policy-process literature; and second, via SNA, to use the output of core algorithms in a cross-sectional analysis of political brokerage and political entrepreneurship. We attempt to simplify the use of graph algebra in answering questions relevant to policy analysis by placing each algorithm within its theoretical context. In the methodology employed, we first identify actors and graph their relations of influence within a specific policy event; then we select the most central actors; and compare their rank in a series of statistics that capture different aspects of their network advantage. We examine betweenness centrality, positive and negative Bonacich power, Burt’s effective size and constraint and honest brokerage as paradigmatic. We employ two case studies to demonstrate the advantages and limitations of each algorithm for differentiating between brokers and entrepreneurs: one on Swiss climate policy and one on EU competition and transport policy.

Propellantless deorbiting of space debris by bare electrodynamic tethers : final report

A Space tether is a thin, multi-kilometers long conductive wire, joining a satellite and some opposite end mass, and keeping vertical in orbit by the gravity-gradient. The ambient plasma, being highly conductive, is equipotential in its own co-moving frame. In the tether frame, in relative motion however, there is in the plasma a motional electric field of order of 100 V/km, product of (near) orbital velocity and geomagnetic field. The electromotive force established over the tether length allows plasma contactor devices to collect electrons at one polarized-positive (anodic) end and eject electrons at the opposite end, setting up a current along a standard, fully insulated tether. The Lorentz force exerted on the current by the geomagnetic field itself is always drag; this relies on just thermodynamics, like air drag. The bare tether concept, introduced in 1992 at the Universidad Politécnica de Madrid (UPM), takes away the insulation and has electrons collected over the tether segment coming out polarized positive; the concept rests on 2D (Langmuir probe) current-collection in plasmas being greatly more efficient than 3D collection. A Plasma Contactor ejects electrons at the cathodic end. A bare tether with a thin-tape cross section has much greater perimeter and de-orbits much faster than a (corresponding) round bare tether of equal length and mass. Further, tethers being long and thin, they are prone to cuts by abundant small space debris, but BETs has shown that the tape has a probability of being cut per unit time smaller by more than one order of magnitude than the corresponding round tether (debris comparable to its width are much less abundant than debris comparable to the radius of the corresponding round tether). Also, the tape collects much more current, and de-orbits much faster, than a corresponding multi-line “tape” made of thin round wires cross-connected to survive debris cuts. Tethers use a dissipative mechanism quite different from air drag and can de-orbit in just a few months; also, tape tethers are much lighter than round tethers of equal length and perimeter, which can capture equal current. The 3 disparate tape dimensions allow easily scalable design. Switching the cathodic Contactor off-on allows maneuvering to avoid catastrophic collisions with big tracked debris. Lorentz braking is as reliable as air drag. Tethers are still reasonably effective at high inclinations, where the motional field is small, because the geomagnetic field is not just a dipole along the Earth polar axis. BETs is the EC FP7/Space Project 262972, financed in about 1.8 million euros, from 1 November 2010 to 31 January 2014, and carrying out RTD work on de-orbiting space debris. Coordinated by UPM, it has partners Università di Padova, ONERA-Toulouse, Colorado State University, SME Emxys, DLR–Bremen, and Fundación Tecnalia. BETs work involves 1) Designing, building, and ground-testing basic hardware subsystems Cathodic Plasma Contactor, Tether Deployment Mechanism, Power Control Module, and Tape with crosswise and lengthwise structure. 2) Testing current collection and verifying tether dynamical stability. 3) Preliminary design of tape dimensions for a generic mission, conducive to low system-to-satellite mass ratio and probability of cut by small debris, and ohmic-effects regime of tether current for fast de-orbiting. Reaching TRL 4-5, BETs appears ready for in-orbit demostration.

Utility functions on locally connected spaces

We investigate the role of local connectedness in utility theory and prove that any continuous total preorder on a locally connected separable space is continuously representable. This is a new simple criterion for the representability of continuous preferences, and is not a consequence of the standard theorems in utility theory that use conditions such as connectedness and separability, second countability, or path-connectedness. Finally we give applications to problems involving the existence of value functions in population ethics and to the problem of proving the existence of continuous utility functions in general equilibrium models with land as one of the commodities. (C) 2003 Elsevier B.V. All rights reserved.