In the title compound, C(16)H(12)O(2), the non-H atoms are coplanar with a mean r.m.s. deviation of 0.0260 (2) Å. The deviations of the bond angles from normal values at the indenyl junction C atom and the indenyl bridgehead C atom nearest the junction are imposed by the five-membered ring geometry. Due to conjugation, the single bond linking the two ring systems [1.455 (3) Å] is significantly ...

In nonequilibrium states, currents are produced by irreversible processes that take a system toward the equilibrium state, where the current vanishes. We demonstrate, in a general setting, that superstatistics arises when the system relaxes to a (stationary) quasiequilibrium state instead, where only the mean current vanishes because of fluctuations. In particular, we show that a current with g...

where Bp(t) is the ball of radius t centered at p and Bp (t) is the portion of the ball lying inside the sphere SR . Our goal is to show that, up to a negligible term, a similar formula holds for any hypersurface S in Rn, the factor 1/R being replaced with the mean curvature of the hypersurface. We briefly recall what mean curvature is. Let S be a hypersurface of class C2 in Euclidean n-space R...

SENSE MODE AND COUPLING IN A VIGILANCE TASK

We discuss the classical motion of a spring of arbitrary mass coupled to two arbitrary massive blocks attached at its ends. A general approach to the problem is presented and some general results are obtained. Examples for which a simple elastic function can be inferred are discussed and the normal modes and normal frequencies obtained. An approximation procedure to the evaluation of the normel...

Fox, Henrici, and Moler made famous a “Method of Particular Solutions” for computing eigenvalues and eigenmodes of the Laplacian in planar regions such as polygons. We explain why their formulation of this method breaks down when applied to regions that are insufficiently simple and propose a modification that avoids these difficulties. The crucial changes are to introduce points in the interio...

1 Major Errata 1. A serious typographical error was made in the proofs with respect to the vector curvature symbol: κ. The scalar (summed) curvature should be denoted by κ; the vector (summed) curvature should be denoted by κ := κν, where ν is the normal vector of the surface. Unfortunately, the bold was omitted in several places in the final version of the book, especially Ch. 6 and Ch. 7. In ...