In the paper we consider the question: given a number field K, what is the distribution of algebraic numbers α of fixed degree deg Kα = n and height H Q ( ) α ≤ in R and in C as Q → ∞. We establish the asymptotic count of such algebraic numbers lying in a set S ⊂ C in cases when S is an interval of the real line or a region of the complex plane with a Lipschitz-parametrizable boundary. In particular, we show that the asymptotic distribution density function of such algebraic numbers is completely determined by their degree over K, by the internal structure of the height function H and by what the completion of K with respect to the archimedean metric is (whether it is R or C ).

This paper investigates the relationship between the topological structure of the maximal ideal space of a commutative C*-algebra and the topological structures of the maximal ideal spaces of its subalgebras. A theorem is proved regarding the embedding of the spectrum of the algebra under consideration into the fiber product of the spectra of its subalgebras. A criterion for the coincidence of the spectrum with the specified fiber product is formulated. As an application, the method described above is used to describe the topology of the spectra of algebras of discontinuous functions.

Traditional convolutional neural networks suffer from excessive energy consumption, which restricts their edge deployment for object detection in remote sensing images. Brain-inspired spiking neural networks (SNNs) offer biological plausibility and low-power advantages. At present, the performance of SNNs on object detection tasks still trails behind mainstream models, particularly in complex remote sensing scenes characterized by large-scale variations, cluttered backgrounds, and dense small objects. In this paper, we aim to improve the performance of SNNs for object detection in remote sensing images. We propose the SpikeYOLO-Boost framework. First, we design the SpikeBoT3 spiking hybrid backbone module, which establishes a dual-path global modeling mechanism in the spike domain. Then, we design the SpikeSEAttention spiking channel attention mechanism, which leverages temporal average pooling to achieve channel-wise enhancement in the spike domain, thereby improving feature fusion and robustness.

A theory of coherent transition radiation is established for a relativistic electron beam that emerges from a microtron and consists of a periodic sequence of subnanosecond bunches. Expressions for the electron beam form factor, as well as the spectral-angular and angular distributions of the coherent transition radiation, have been explicitly derived. Using this theory, estimates have been obtained for the microwave noise emitted by the sequence of subnanosecond bunches emerging from the microtron’s output channel.

This paper presents the results of a study on the purification of three-component solutions containing Cs+, Sr2+, and Co2+ ions using carbonate and phosphate sorbents obtained from natural dolomite by thermal activation at 800 °C (D-800), phosphating (PD), and phosphating followed by modification with zirconyl salts (PD-Zr). The selectivity and efficiency of sorbents in a three-component solution were studied, including sequential application in multiple stages. It was found that the synthesized sorbents exhibit varying selectivity for Cs+, Sr2+, and Co2+ ions. Carbonate and phosphate sorbents D-800 and PD selectively sorb divalent metal ions Sr2+ and Co2+ in a three-component mixture. PD-Zr exhibits no selectivity for any of the ions. The sorption efficiency for the studied ions is as follows: for D-800: Co > Sr, for PD: Co > Sr » Cs, and for PD-Zr: Co > Sr > Cs. It was found that the most effective purification of a three-component solution (recovery rate of ~98‒100 %) is achieved by combining carbonate and phosphate sorbents at different purification stages. After a combined three-stage purification of the solution, residual concentrations of Co2+ ions are below the detection limit, while those of Sr2+ and Cs+ ions are 0.02 and 0.31 mg/L, respectively.

Spectral analysis of the original vaccine antigen (a conjugate of a modified Monkeypox virus A29L capsid protein and eleven molecules of a modified active-site peptide from the influenza A H1N1 virus neuraminidase) revealed that the peptide fragments form beta-hairpins. The interaction of these fragments results in the formation of an intermolecular parallel and antiparallel beta-sheet structure, stable in the temperature range of 5 to 75 °C.

This paper presents the results of an analysis of the climate of Belarus during the warmest recent decades (since 2000). It highlights key quasi-cyclical patterns in changes to average monthly meteorological parameters, which explain why these parameters deviate from trends associated with global warming. The paper presents forecasts, verified against retrospective data, from regionally optimised ensembles of global climate models for the period up to 2050, including the duration of the growing season and frost-free period, accumulated active temperatures, precipitation, potential evapotranspiration, groundwater levels, as well as the frequency and duration of extreme weather events. Based on the calculations carried out, the impacts of projected climate change have been estimated on water resources and the biological productivity of agroecosystems in the region.

For the first time, we have established the features of the Rebinder effect in a cross-linked epoxy matrix containing ultra-small amounts (0.005–0.1 wt. %) of UDA SP, ASH-A, TiO2, ZnO, Al2O3, SiO2 nanoparticles. The waterinduced adsorption reduction of impact strength and hardness of nanomodified coatings on steel was evaluated in comparison with non-modified coatings. The proposed mechanism for the reduction of the Rebinder effect by nanoparticles is as follows. As a result of the interaction of electric charges on the surface of nanoparticles with the dipoles of polar epoxy and hydroxyl groups in the macromolecules of epoxy resin, Van der Waals forces form in addition to the existing cross-linking chemical bonds of the hardener. As a result, an interpenetrating network-type system is formed. The mobility of the macromolecule segments between cross-link nodes is reduced, and the energy barrier for bond rupture in epoxy resin macromolecules increases. The impact strength and hardness of coatings increase. A correlation has been established between the degree of compensation for the Rebinder effect and the magnitude of the electric charge on the nanoparticle surface. Thus, the nanomodification of epoxy coatings with even ultra-small amounts of nanoparticles (0.005 wt. %) makes it possible to significantly reduce the negative impact of the Rebinder effect caused by water. This is of great practical importance, since anti-corrosion coatings operated in the atmosphere are periodically exposed to precipitation.

The philosophical basis for studying and modeling social and anthropological processes in the modern globalizing world has been specified (the category of “sociality” has been introduced into scientific discourse, and the epistemological potential of social dialectics has been determined). The picture of social reproduction in a transitional society is revealed. The scientific novelty of the obtained results is determined by the fact that they direct researchers not toward knowledge of external, verbally perceived social phenomena and processes, but toward knowledge of the internal mechanisms of social development that are hidden from external observation, that are comprehended through abstract thinking, and that orient the knowing subject to reflection of sociality in its ontological nature and anthropological essence, historical dynamics, and modern modification. The results obtained can be used to monitor social processes and to identify and resolve social conflicts at their inception, in order to prevent large-scale social upheavals.

This article presents the results of a study on the effect of feeding whole-grain corn during the pre-weaning (milk) period on the productive performance of calves in the post-weaning period. The experiments were conducted at the state enterprise (SE) “ZhodinoAgroPlemElita” on four groups of Black-and-White calves with an average live weight of 102.9–108.7 kg at the age of 116–180 days. The experimental period lasted 65 days. During the milk-feeding period, the control group received a standard compound feed, while the experimental groups were fed a concentrated feed mixture consisting of 70, 60, and 50 % compound feed and 30, 40, and 50 % whole corn grain, respectively. In the post-weaning period, the diet was identical for all groups. The study evaluated feed chemical composition, feed intake, nutrient digestibility, morpho-biochemical blood parameters, rumen fermentation, growth performance, and economic efficiency. It was established that dietary inclusion levels of 30 and 40 % ensured average daily gains of 908 and 868 g (+9.1 and +4.3 % compared to the control, respectively), while reducing the cost of live weight gain by 7.4 and 3.9 %. The most pronounced economic effect was achieved with the 30 % inclusion level of whole-grain corn in the compound feed.