Three-Dimensional Analog of the Cauchy Type Integral

On a smooth closed surface, we consider integrals of the Cauchy type with kernel depending on the difference of arguments. They cover both double-layer potentials for second-order elliptic equations and generalized integrals of the Cauchy type for first-order elliptic systemsyesBelgorod State Universit

Generalized Cauchy integrals on the plane

The integrals with homogeneous-difference kernels are considered on a smooth contour. The boundary properties of the integrals are described in the Holder space. An analogue of the known Sokhotski-Plemelj formula is obtained. Moreover, the differentiation formula of these integrals is also give

An analogue of the Schwarz problem for the Moisil–Teodorescu system in a multiply connected domain

An analogue of the Schwarz problem for the Moisil–Teodorescu system is considered in a multiply connected domain D. It is shown that this problem is Fredholm in the Holder class C (D

Social networks and fishers' behavior: Exploring the links between information flow and fishing success in the Northumberland lobster fishery

Fisheries worldwide are facing overexploitation, yet the social dimensions of fishers' behavior remain under-studied, and there is demand for an improved understanding of social processes that influence fisheries' dynamics. Fishers draw on social relationships to acquire information relating to fishing opportunities, contributing to knowledge that underpins decision making and behavior. In this study we use quantitative social network analysis (SNA) to compare the structure of information-sharing networks and explore links between information flow and fishing success at four ports in the Northumberland (UK) potting fishery. In our results we describe the different information-sharing networks existing at each port, and show the following: a high proportion of fishers reported sharing information, though fewer than a third of reported ties were reciprocated; subgroups existed in which greater information sharing occurred; and networks displayed varying levels of cohesiveness. Fishers commonly shared information with others whom they perceived to be successful, and reciprocal relationships were more common among fishers of similar success. Furthermore, fishers more central in networks had more sources of incoming information through social relationships, shared information with fewer peers, and were more successful than those who were less central. We conclude that engaging in information-sharing networks can provide benefits for Northumberland fishers, although advantages gained through social networks may not be equally distributed. Although informationsharing networks may contribute to fishing success, i.e., high lobster landings, these outcomes may not be compatible with long-term fisheries management objectives. Nevertheless, understanding the social dynamics of information sharing can help inform management strategies by identifying central fishers in information-sharing networks, who have access to a range of information on others' fishing behavior. Such fishers may be able to assist managers in collecting information on the distribution of fishing opportunities, the state of the fishery, and the ways in which fishers use their knowledge to adapt to change and management interventions

Development of multiple-wavelength oscillation in plasma of a pulse-periodic He+Ne+Sr laser

Mechanisms of multiple-wavelength oscillation at the lines of He I, Ne I, Sr I, and Sr II ions in the active medium of a high-voltage pulse-periodic laser based on a He + Ne + Sr mixture at a total pressure of ∼200 Torr and duration of the current pulse of about 150–300 ns are analyzed. An important role played by collisional thermal mixing of the laser levels of Ne I and Sr I in multiplets, as well as by collisions of the second kind between metastable and unexcited atoms, in populating and depopulating atomic levels is demonstrated. Absolute populations of the upper and lower levels of the laser transitions in Ne I are found. It is discovered that the degree of ionization nonequilibrium of plasma, both during and after the pulse of current, determines the mechanism of population inversion in laser transitions

The PCA-seq method applied to analyze of the dynamics of COVID-19 epidemic indicators

In time series analysis using the SSA method, a univariate series is converted into the multivariate one by shifts. The resulting trajectory matrix is subjected to principal component analysis (PCA). However, the principal components can also be computed using the PCA-Seq method if segments of the original series are selected as objects. The matrix of Euclidean distances between the objects can be obtained using any method, which offers additional opportunities for time series analysis compared to the conventional SSA. In this study, the PCA-Seq method was used to analyze the dynamics of COVID-19 epidemic indicators

Review of experimental results from SND detector

The review of experimental results obtained with SND detector at VEPP-2M $e^+e^-$ collider in the energy region $\sqrt[]{s}=0.36$ -- 1.38 GeV is given. The presented results include the following items: studies of the light vector mesons radiative decays, OZI-rule and G-parity suppressed $\phi$-meson rare decays, $\phi$-meson parameters measurements, studies of $e^+e^-\to\pi^+\pi^-\pi^0$ process dynamics, $\eta$ and $K_S$ mesons rare decays, $\eta$ and $\phi$ mesons conversion decays, and study of the $e^+e^-$ annihilation into hadrons.Comment: 12 pages and 6 figures. Talk given at the IX International Conference on Hadron Spectroskopy, Protvino, Russia, August 25 - September 1, 200

On boundedness of certain integral operators

We study mapping properties of two-dimensional linear integral operators in some weighted spaces with special kernels. The considered spaces are certain variant of Sobolev-Slobodetskii spaces and their generalizations related to Banach spaces. Sufficient conditions for boundedness for such operators in these spaces are obtaine