Exhibitor Comments

Recent Trends in Archaeological Theory: Some Comments

 This paper selectively reviews some recent themes in archaeological theory:  a philosophical pragmatism, a turn to materiality, and understanding the past in the context of the present.  It concludes with some reflective comments on the author’s Archaeological Theory:  An Introduction, in advance of the third revised edition.

Comments on relaxed $(gamma, r)$-cocoercive mappings

We show that the variational inequality $VI(C,A)$ has aunique solution for a relaxed $(gamma , r)$-cocoercive,$mu$-Lipschitzian mapping $A: Cto H$ with $r>gamma mu^2$, where$C$ is a nonempty closed convex subset of a Hilbert space $H$. Fromthis result, it can be derived that, for example, the recentalgorithms given in the references of this paper, despite theirbecoming more complicated, are not...

Play It Again, Sam? Optimal Replacement Policies for a Motion Picture Exhibitor

Every week, motion picture exhibitors must decide whether to keep or replace the movies playing in their theaters in light of the past week’s sales data. This decision is complex because of the dynamic decision environment, the uncertainty of demand, the complex revenue sharing terms between the retailer and the distributor, the need to commit to new movies for several weeks and the competitive...

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Comments.

Since the latter counts are only complete down to K=14.5, the amount of extrapolation to the magnitudes of interest at K>19 is considerable – especially since one does expect to run out of stars at some point at high latitudes. Fortunately, since the total counts at the faint magnitudes of interest are dominated by galaxies, this uncertainty does not appreciably affect the conclusions. Nonethel...