In this contribution I want to present the extract of the article about Rejewski’s solution of Enigma cipher, which is being prepared. The story of Enigma is a part of modern cryptology. However, there still remain some unclear facts about Enigma. The reason is that the information were for a long time classified, now there is a lack of reliable sources. Moreover, some of the reports are even c...

The American College of Hyperbaric Medicine provides this document for hospital credentialing committees as national standards for credentialing hyperbaric physicians. These recommendations represent the consensus opinion of expert leaders in the field of hyperbaric medicine. The principles set forth in this document are intended to serve as a guideline to assist healthcare organizations. This ...

More than two decades elapsed since Levin set forth a theory of average-case complexity. In this survey we present the basic aspects of this theory as well as some of the main results regarding it. The current presentation deviates from our old “Notes on Levin’s Theory of Average-Case Complexity” (ECCC, TR97-058, 1997) in several aspects.

This paper studies the generalized approximate set-valued equilibrium problems and furnishes some new existence results. The existence results for solutions are derived by using the celebrated KKM theorem and some concepts associated with the semi-continuity of the set-valued mappings such as outer-semicontinuity, inner-semicontinuity, upper-semicontinuity and so forth. The results achieved in ...

Quasi-categories live at the intersection of homotopy theory with category theory. In particular, they serve as a model for (∞, 1)-categories, that is, weak higher categories with n-cells for each natural number n that are invertible when n > 1. Alternatively, an (∞, 1)-category is a category enriched in ∞-groupoids, e.g., a topological space with points as 0-cells, paths as 1-cells, homotopies...