In this paper, the dynamic characteristics of clamped-clamped silicon microbeam subjected to electrostatic excitation and mechanical shock is investigated. The Euler-Bernoulli beam model based on the modified couple stress theory with von Kármán geometric non-linearity is utilized in theoretical formulation. Afterwards, squeeze-film damping effects of microstructures for small amplitude vibrati...

This paper presents a new approach to decision-making under risk. Preference over risky prospects is defined as a triadic reference-dependent relation in a sense similar to Sugden (2003). Characterized by a set of von Neumann-Morgenstern-style axioms, a new reference-dependent representation theory – called compound utility theory (CUT) – is obtained which accommodates nonlinear preferences (in...

We revisit the upper bound of quantum discord given by the von Neumann entropy of the measured subsystem. Using the Koashi-Winter relation, we obtain a trade off between the amount of classical correlation and quantum discord in the tripartite pure states. The difference between the quantum discord and its upper bound is interpreted as a measure on the classical correlative capacity. Further, w...

The C* -algebra extensions of a topological space can be made into an abelian group which is naturally equivalent to the Khomology group of odd dimension [1] which has a close relation with index theory and is one of the starting points of KK theory [8]. The Cp -smoothness of an extension of a manifold was introduced in [3, 4], where Cp denotes the Schatten-von Neumann p-class [5]. We generaliz...

KURZFASSUNG Mit der Einführung der pureXML-Technologie [4] bietet das von IBM entwickelte Datenbankmanagementsystem (DBMS) DB2 for z/OS die Möglichkeit, XML-Daten nativ zu speichern und XMLspezifisch zu verarbeiten. Die native Art der XML-Ablage verspricht gegenüber der nicht-nativen XML-Speicherung zahlreiche Vorzüge, die es sinnvoll werden lassen, im Unternehmen vorhandene nicht-native XML-Da...

This paper extends the expected utility models of decision making under risk and under uncertainty to include incomplete beliefs and tastes. The main results are two axiomatizations of the multiprior expected multi-utility representations of preference relation under uncertainty, thereby resolving long standing open questions. The Knightian uncertainty model and expected multi-utility model wit...

An input-output model a la von Neumann with recycling of resources and abatement of pollutants is presented. We allow for joint production, durable capital goods, and heterogeneous labour. In addition, the model covers household garbage so far neglected in the literature. The existence of an equilibrium is proved, and the effect of classification of garbage on the rates of growth and profit is ...

In [5] Lenz and Stollmann proved the existence of the integrated density of states in the sense of uniform convergence of the distributions for certain operators with aperiodic order. The goal of this paper is to establish a relation between aperiodic order, uniform spectral convergence and the continuous algebras invented by John von Neumann. We illustrate the technique by proving the uniform ...

4For n = 1, the nearest approach to the process used here seems to be found in H. J. S. Smith's Report on the Theory of Numbers, Collected Works, Vol. I, 271-272, Oxford (1894); reproduced by P. Bachmann, Die Lehre von der Kreisteilung, 279-281, Leipzig and Berlin (1921). However, our number yt of (1) for n = 1 is not exhibited explicitly by them in terms of the a's alone, but is defined by mea...

We show that every non-amenable free product of groups admits free ergodic probability measure preserving actions which have relative property (T) in the sense of S. Popa [Pop06, Def. 4.1]. There are continuum many such actions up to orbit equivalence and von Neumann equivalence, and they may be chosen to be conjugate to any prescribed action when restricted to the free factors. We exhibit also...