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Essentials of sheaves are briefly presented, followed by related comments on presheaves, bundles, manifolds and singularities, aiming to point to their differences not only in their different formal mathematical structures, but also in the…
We discuss various recent advances on weak forms of the Twin Prime Conjecture.
I briefly summarize my personal opinions on the current status of HEP theory and comment on the so-called "non-empiric confirmation."
Alternative approaches to Lebesgue integration are considered.
A survey is made of semileptonic and nonleptonic kaon decays in the framework of chiral perturbation theory. The emphasis is on what has been done rather than how it was done. The theoretical predictions are compared with available…
The paper contains enumerative combinatorics for positive braids, square free braids, and simple braids, emphasizing connections with classical Fibonacci sequence. The simple subgraph of the Cayley graph of the braid group is analyzed in…
Recent progress in the studies of pulsating variable stars is summarized from an observational point of view. A number of unexpected phenomena have been revealed in the case of pulsators in the classical instability strip. These discoveries…
The article provides a brief survey of the mathematics of some of the newly being developed so called "hybrid" (also called "multi-physics" or "multi-wave") imaging techniques.
We give an update on our long-term program of Galactic Cepheids started in 2012, whose goal is to measure the visual orbits of Cepheid companions. Using the VLTI/PIONIER and CHARA/MIRC instruments, we have now detected several com- panions,…
In this paper, we will continue the investigation of Waring's problem, and give further improvements.
The present status of Galactic Globular Clusters Database is briefly reviewed. The features implemented at the time writing are described, as well as plans for future improvements.
We give some easy necessary and sufficient criteria for twists of abelian varieties by Artin representations to be simple.
During the five days of this conference a very dense scientific program has enlighted our research fields, with the presentation of large number of interesting lectures. I will try to summarize the theoretical aspects of some of these new…
A recent discovery by the COBE satellite is presented, and its importance discussed in the context of the physics of the early Universe. The various implications for our understanding of the structure of the Universe are outlined.
Infinite sequences are considered in the framework of classical logic from a new point of view.
An elementary approach to the construction of Coxeter group representations is presented.
New results on hadron physics from the Belle experiment are presented
We will review some of the theoretical progresses that have been in the study of complex systems in physics and of their applications to biology.
We describe some planar operads build from the higher Bruhat orders.
The structure of a previously developed representation of the Leech lattice, $\Lambda_{24}$, is exposed to further light with this unified and very simple construction.