The multidimensional space defined by the microscopic variables of a system. In the example above, it would be a 6x10-dimensional space, with independent variables (r, p) = (r1,r2,r3,.....,rN;p1,p2,p3,....,pN) where bold symbols indicate vectors, r is the position and p the momentum (p = mu). Momenta are used rather than velocities, because the classical and, especially, the quantum equations o...

We show that countable increasing unions preserve a large family of well-studied covering properties, which are not necessarily σ-additive. Using this, together with infinite-combinatorial methods and simple forcing theoretic methods, we explain several phenomena, settle problems of Just, Miller, Scheepers and Szeptycki [15], Gruenhage and Szeptycki [13], Tsaban and Zdomskyy [33], and Tsaban [2...

A b s t r a c t. The paper deals with functional properties of three-valued logics. We consider the family of regular three-valued Kleene's logics (strong, weak, intermediate) and it's extensions by adding an implicative connectives (" natural " implications). The main result of our paper is the lattice that describes the relations between implicative extensions of regular logics. In this paper...

In this paper, we present an evaluation of seven automatic brain tissue classifiers based on level of agreements. A number of agreement measures are explained, and we show how they can be used to compare different segmentation techniques. We use the Simultaneous Truth and Performance Level Estimation (STAPLE) of Warfield et al. but also introduce a novel evaluation technique based on the Willia...

I thank Karl Diether for research assistance. I thank Malcolm Baker, Gene Fama, Ken French, and Jeff Wurgler for supplying data. I thank Eugene Fama and seminar participants at the London School of Economics, New York University Stern School, and the University of Chicago for helpful comments. I gratefully acknowledge support from the Alfred P. Sloan Foundation, the Center for Research in Secur...