We address a question posed by J.-F. Mertens and show that, indeed, R. J. Aumann's classical existence and equivalence theorems depend on there being ``many more agents than commodities.'' We show that for an arbitrary atomless measure space of agents there is a fixed non-separable infinite dimensional commodity space in which one can construct an economy that satisfies all the standard assumpt...

We propose a new approach to the transfer operator based analysis of the conformation dynamics of molecules. It is based on a statistical independence ansatz for the eigenfunctions of the operator related to a partitioning into subsystems. Numerical tests performed on small systems show excellent qualitative agreement between mean field and exact model, at greatly reduced computational cost.

In this work the photoluminescence (PL) of BaCa2Si3O9:Eu(2+),Mn(2+) and the energy transfer (ET) between Eu(2+) and Mn(2+) were examined. A series of powder samples with various Mn(2+) concentrations were prepared by high temperature solid state route. Phase purity was investigated using X-ray powder diffractometry. Emission and excitation spectra as well as diffuse reflectance spectra were rec...

heat and mass transfer, in this paper, is considered in one-row heat exchanger, that fins are hotter than air flow and water is added to fins. related governing equations are derived by analyzing a two-dimension model in a unique cell of a heat exchange. these equations are numerically solved by finite difference method. heat transfer and efficiency under partially wet surface are calculated by...

an experimental study has been conducted on the hydrodynamics of a stage mixer-settler to obtain an appropriate design. in this paper several tests was performed to investigate full factorial design of experiments. since each test was repeated seven times, the repeatability of the test was confirmed (p=1 bar and t=25 °c). sauter diameter was determined by photographing both the mixer and settle...

basic understanding of the process of coolant heat transfer inside an engine is an indispensable prerequisite to devise an infallible cooling strategy. coolant flow and its heat transfer affect the cooling efficiency, thermal load of heated components, and thermal efficiency of a diesel engine. an efficient approach to studying cooling system for diesel engine is a 3d computational fluid dynami...

As the most important node in public transport network, efficiency of a transport hub determines the entire efficiency of the whole transport network. In order to put forward effective transfer schemes, a comprehensive evaluation index system of urban transport hubs’ transfer efficiency was built, evaluation indexes were quantified, and an evaluation model of a multi-objective decision hub tran...

A wireless power transfer system via magnetic resonance has been reported by several groups [1-3]. In those reports, two resonance coils work as a transmission coil and a reception coil, respectively. The transfer efficiency between two coils is a function of the distance and the orientation between the coils. When the distance between the two coils is long, the transfer efficiency is small. Wh...