Gymnasial Buildings and Sanctuaries. A Contribution to the Formation of the Palaestra and an Interpretation of the So-Called ‘Echo Stoa’

Das Aufkommen der Palästra als Gebäude in Form eines Peristyls kann ins letzte Drittel des 4. Jhs. v. Chr. datiert werden, wobei die schriftlichen Quellen zeigen, dass es bereits früher Palästren gab. Von diesen ist aber noch keine sicher identifiziert worden. In diesem Beitrag wird davon ausgegangen, dass einige Gebäude in außerstädtischen Heiligtümern auf der Peloponnes, die mit Funktionen des Sports, des Wettkampfs und der Körperpflege verbunden werden können, solche frühen Palästren repräsentieren. Die Beispiele in den großen Heiligtümern von Nemea und Epidauros führen zum Gebäudekomplex der Echo-Stoa in Olympia, der sehr wahrscheinlich als erste Palästra in dem Heiligtum angesprochen werden kann

Dynamic exponential utility indifference valuation

We study the dynamics of the exponential utility indifference value process C(B;\alpha) for a contingent claim B in a semimartingale model with a general continuous filtration. We prove that C(B;\alpha) is (the first component of) the unique solution of a backward stochastic differential equation with a quadratic generator and obtain BMO estimates for the components of this solution. This allows us to prove several new results about C_t(B;\alpha). We obtain continuity in B and local Lipschitz-continuity in the risk aversion \alpha, uniformly in t, and we extend earlier results on the asymptotic behavior as \alpha\searrow0 or \alpha\nearrow\infty to our general setting. Moreover, we also prove convergence of the corresponding hedging strategies.Comment: Published at http://dx.doi.org/10.1214/105051605000000395 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org

Analytical and Experimental Determination of FML Stiffness and Strength Properties.

The paper presents application of analytical methods of determining the mechanical properties of Fibre Metal Laminates. Chosen micromechanical methods were employed to predict elastic moduli and strength of FML panels. Prediction was conducted on two levels i.e. micromechanics where properties of a single composite lamina (prepreg) were analyzed, and macro–mechanics to determine properties of a full FML hybrid material. The properties of a single GFR lamina were predicted by Rule of Mixture Method (ROM), inverse Rule of Mixture Method with correction factor, Halpin Tsai Method, Tsai Method and Wilczynski Method application. Properties of full 3–2 FML lay–up were determined using the Rule of Mixtures. Analytical results were verified by experimental tests. Tensile and bending test were performed on rectangular standard coupons of 3–2 FMLs

Backward Stochastic PDEs Related to the Utility Maximization Problem

We study utility maximization problem for general utility functions using dynamic programming approach. We consider an incomplete financial market model, where the dynamics of asset prices are described by an Rd-valued continuous semimartingale. Under some regularity assumptions we derive backward stochastic partial differential equation (BSPDE) related directly to the primal problem and show that the strategy is optimal if and only if the corresponding wealth process satisfies a certain forward-SDE. As examples the cases of power, exponential and logarithmic utilities are consideredBackward stochastic partial dierential equation, utility maximization problem, semimartingale, incomplete markets