SOME COMMENTS ON R. P. DORE'S

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...

Some Comments on Injectivity and P-injectivity

A generalization of injective modules (noted GI-modules), distinct from p-injective modules, is introduced. Rings whose p-injective modules are GI are characterized. If M is a left GI-module, E = End(AM), then E/J(E) is von Neumann regular, where J(E) is the Jacobson radical of the ring E. A is semisimple Artinian if, and only if, every left A-module is GI. If A is a left p. p., left GI-ring su...

Some comments on Pachter ' s P value prize

, © Stoltzfus This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and redistribution in any medium, provided that the original author and source are credited. In late May, Lior Pachter posted a blog entitled Pachter’s P-value prize, offering a cash prize for providing a probability calculation (...

Some Comments on Qis3

Some Comments on Professor

In a recent issue, this journal published an article by Professor Robert S. Summers reviewing and commenting critically upon a recent book by Professor H. L. A. Hart of Oxford entitled The Concept of Law. Among other things, Professor Summers criticized Professor Hart for stressing rules to the neglect of other elements of a legal system and for succumbing to reductionist tendencies in the anal...