Burris Comments

Burris March 13 , 2001 Set Theory : Cantor

As we have seen, the naive use of classes, in particular the connection between concept and extension, led to contradiction. Frege mistakenly thought he had repaired the damage in an appendix to Vol. II. Whitehead & Russell limited the possible collection of formulas one could use by typing . Another, more popular solution would be introduced by Zermelo. But first let us say a few words about t...

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...

Comments.

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...