In this article, we present a geometric theoretical analysis of semidefinite feasibility problems (SDFPs). We introduce the concept of hyper feasible partitions and sub-hyper feasible directions, and show how they can be used to decompose SDFPs into smaller ones, in a way that preserves most feasibility properties of the original problem. With this technique, we develop a detailed analysis of w...

Abstract Hyper-Kamiokande (Hyper-K) is a next generation underground large water Cherenkov detector. Its tank will be filled with 260000 metric tons of ultra-pure fiducial volume 0.19 Mtons, which about 8 times larger than that its predecessor Super-Kamiokande. In volume, light produced by neutrino interactions and detected newly developed photo sensors installed in dedicated frame. Two differe...

‎In this paper‎, ‎we introduce the notion of strongly $k-$spaces (with the weak (=finest) pre-topology generated by their strongly compact subsets)‎. ‎We characterize the strongly $k-$spaces and investigate the relationships between preclosedness‎, ‎locally strongly compactness‎, ‎pre-first countableness and being strongly $k-$space.

Carbachol-stimulated accumulation of labeled IP4 or of total Ins 1,3,4,5-P4 in rat brain cortical slices was maximal in buffer containing 10 mM K+. Iso-osmotic elevation of extracellular K+ to 30 mM did not affect total Ins 1,3,4,5-P4 accumulation but did enhance carbachol stimulated Ins 1,4,5-P3 accumulation. Iso-osmotically elevated K+ suppressed carbachol stimulated accumulation of labeled I...

A variational inequality for the images of k-dimensional hyper-planes under quasiconformal maps of the n-dimensional Euclidean space is proved when 1 ≤ k ≤ n − 2 .