1The first author was supported by Austrian Science Fund (FWF) project M 1408-N25. 2The second author is indebted to W. Hugh Woodin, Ilijas Farah, and Menachem Magidor for crucial conversations on the topics of this paper. He is also grateful to Andrés Caicedo and Paul Larson for many conversations on the topics of this paper in particular during the SQuaRE meetings at the AIM in Palo Alto, May...

We reene and extend the Clarke-Ledyaev mean value inequality to smooth Banach spaces.

M. D. Hiirlimann, " ' C. H. Pennington, " " N. Q. Fan, ' ' John Clarke, " ' " A. Pines, ' ' and E. L. Hahn ' (])Department of Physics, University of CaliforniaB, erkeley, BerkeleyC, alifornia 94720 (2)Department of Chemistry, University of California, Berkeley, Berkeley, California 94720 (3)Materials Sciences DitisionLa, wrence Berkeley Laboratory, Berkeley, California 94720 (Received 22 May 1992)

Let C be a nonempty closed subset of the real normed linear space X. In this paper we determine the extent to which formulas for the Clarke subdifferential of the distance for C, de(x) := inf I/Y.rll, be< which are valid when C is convex, remain valid when C is not convex. The assumption of subdifferential regularity for d, plays an important role. When x 4 C, the most precise results also requ...

In this paper we define Baer BL-algebras as BL-algebras with the property that co-annihilator filters are generated by central elements. We use sheaf-theoretic techniques to construct a Baer extension of any BLalgebra, that is to embed any nontrivial BL-algebra A into a Baer BLalgebra A∗. The embedding turns to be an isomorphism if A is itself a Baer BL-algebra. 2000 MSC: 08A72, 03G25, 54B40, 0...

Milwaukee-Racine, WI: Milwaukee County .................................. April 22, 2014 ............................. Attainment .................................. .................... .................... Racine County ........................................ April 22, 2014 ............................. Attainment .................................. .................... .................... Wa...

The Zeaman-House-Lovejoy (ZHL) model for discrimination learning involves interacting perceptual and response learning processes, with rate parameters v and 0, respectively. This paper describes a number of predictions of the ZHL model for the optional shift paradigm. Kendler and Kendler showed that the proportion of subjects who learn an optional shift as a reversal increases with subject’s ag...

We apply group cohomological methods to calculate the cohomol-ogy of K(n) BP as a K(n) K(n)-comodule, recovering recent results of Hovey and Sadofsky. As applications we determine the Chromatic Spectral Sequence for BP based on Johnson and Wilson's E(n), showing the relationship to some generalizations of the classical Hattori-Stong Theorem and determine the change of Hopf algebroid spectral se...

The M-tree is a paged, dynamically balanced metric access method that responds gracefully to the insertion of new objects. Like many spatial access methods, the M-tree’s performance is largely dependent on the degree of overlap between spatial regions represented by nodes in the tree, and minimisation of overlap is key to many of the design features of the M-tree and related structures. We pres...