The game of plates and olives was originally formulated by Nicolaescu and encodes the evolution of the topology of the sublevel sets of Morse functions. We consider a random variant of this game. The process starts with an empty table. There are four different types of moves: (1) add a new plate to the table, (2) combine two plates and their olives onto one plate, removing the second plate from...

A study of the hydrogen hyperfine couplings of the Mn-cluster of the oxygen-evolving complex of Photosystem II in the S(2) state of the Kok cycle by means of hyperfine sublevel correlation spectroscopy was achieved. Features corresponding to hyperfine interaction of at least two hydrogen nuclei were detected. Combining our results with previous ENDOR data, hyperfine constants were determined, a...

On account of the complex application environment and the large number of uncertain conditions for the palletizing robot, we do path-planning for the multiple joints robot by the algorithm based on Hierarchical Markov Decision Process. First, according to the actual working environment, we set the range of the robot’s motion and select the conventional movement combination as the basic set of t...

We present a novel framework for characterizing signals in images using techniques from computational algebraic topology. This technique is general enough for dealing with noisy multivariate data including geometric noise. The main tool is persistent homology which can be encoded in persistence diagrams. These are scatter plots of paired local critical values of the signal. One of these diagram...

We obtain sufficient and/or necessary conditions for global/local error bounds for the distances to some sets appeared in set optimization studied with both the set approach and vector approach (sublevel sets, constraint sets, sets of all Pareto efficient/ Henig proper efficient/super efficient solutions, sets of solutions corresponding to one Pareto efficient/Henig proper efficient/super effic...

The inwardly-rectifying potassium channel subunit Kir5.1 selectively co-assembles with members of the Kir4.0 subfamily to form novel pH-sensitive heteromeric channels with unique single channel properties. In this study, we have cloned orthologs of Kir4.1 and Kir5.1 from the genome of the amphibian, Xenopus tropicalis (Xt). Heteromeric XtKir4.1/XtKir5.1 channels exhibit similar macroscopic curr...

Introduction. The main part of rich iron ores (73%) is mined in the Kryvyi Rih ore basin, most which(160.5 million tons) are characterized by a low strength and stability.Problem Statement. One important operations slope excavation, which significantly affects productivity delivery vehicles crushing processing complex, quality completeness extraction stability, drilling blasting to form compens...

Abstract The work contains studies of the problem stabilizing geodynamic processes in rock massif, preservation daylight surface and ecological balance mined-out operating mine fields Ukraine. main regularities influence sublevel-room mining systems with backfilling on changes stress-strain state massif structural elements block are determined. Rich iron ore by underground methods subsequent tr...