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Signa et res : the pictorial discourse of the imaginary in early modern Italy
The hermeneutics of the Christian Middle Ages assign the religious image and its aesthetic
function a status rich in an ambiguity and tension. The ambiguity is rooted in the question of
the identity of the image, what Gadamer calls its “mode of being”. The tension occurs on
account of the divergence between the various aspects of the image: its independent actuality
and its existence as a reproduction, its concrete irreplaceability and its suspension of its own
status
Entropy of unimodular Lattice Triangulations
Triangulations are important objects of study in combinatorics, finite
element simulations and quantum gravity, where its entropy is crucial for many
physical properties. Due to their inherent complex topological structure even
the number of possible triangulations is unknown for large systems. We present
a novel algorithm for an approximate enumeration which is based on calculations
of the density of states using the Wang-Landau flat histogram sampling. For
triangulations on two-dimensional integer lattices we achive excellent
agreement with known exact numbers of small triangulations as well as an
improvement of analytical calculated asymptotics. The entropy density is
consistent with rigorous upper and lower bounds. The presented
numerical scheme can easily be applied to other counting and optimization
problems.Comment: 6 pages, 7 figure
Unimodular lattice triangulations as small-world and scale-free random graphs
Real-world networks, e.g. the social relations or world-wide-web graphs,
exhibit both small-world and scale-free behaviour. We interpret lattice
triangulations as planar graphs by identifying triangulation vertices with
graph nodes and one-dimensional simplices with edges. Since these
triangulations are ergodic with respect to a certain Pachner flip, applying
different Monte-Carlo simulations enables us to calculate average properties of
random triangulations, as well as canonical ensemble averages using an energy
functional that is approximately the variance of the degree distribution. All
considered triangulations have clustering coefficients comparable with real
world graphs, for the canonical ensemble there are inverse temperatures with
small shortest path length independent of system size. Tuning the inverse
temperature to a quasi-critical value leads to an indication of scale-free
behaviour for degrees . Using triangulations as a random graph model
can improve the understanding of real-world networks, especially if the actual
distance of the embedded nodes becomes important.Comment: 17 pages, 6 figures, will appear in New J. Phy
Development of an integrated solar-fossil powered steam generation system for industrial applications
Das Poster gibt eine kurze Einführung in das Projekt SolSteam, in dem die Integration solaren Prozessdampfes in einen konventionellen Dampferzeuger untersucht wird
Evaluation der Hessischen Dorfentwicklung – neue Anforderungsprofile an ein Programm für die nachhaltige Entwicklung des ländlichen Raums im Zeichen des demographischen Wandels
Eines der wesentlichen Ergebnisse der Studie ist die Erkenntnis, dass jegliche Art von Flächenmanagement für einen Ort ohne Einbindung in eine kommunale Gesamtstrategie wenig Aussicht auf Erfolg verspricht. Die Studie schließt auf der Grundlage der in der Literatur zurzeit verfügbaren Definitionen über Art und Umfang von Flächenmanagement. Diese Begriffsbestimmung führt dazu, dass Flächenmanagement als ein Instrument verstanden wird, das drei wesentliche Komponenten hat: 1. Ein bau- und planungsrechtliches Umsetzungsszenario 2. Eine bürgerorientierte konzeptionelle Vorleistung der Kommune 3. Ein nicht unerheblich erscheinender Finanzmitteleinsatz durch die Kommun
Guidelines for initiation of anti-tumour necrosis factor therapy in rheumatoid arthritis: similarities and differences across Europe.
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