Product theorems in dimension theory

Throughout this paper we assume that all spaces are just topological spaces, otherwise specified. We start from the following theorem: THEOREM 0 [10]. Let X× be piecewise rectangular. ..

On the Chabauty space of locally compact abelian groups

This paper contains several results about the Chabauty space of a general locally compact abelian group. Notably, we determine its topological dimension, we characterize when it is totally disconnected or connected; we characterize isolated points.Comment: 24 pages, 0 figur

Systém automatického riadenia hodnotenia zložitosti práce pri montáži

The article is about a task of creating of an automated system for the evaluation of the complexity and the prediction of labour input of fitting and assembly operations, which used for manufacturing of machine-building item.Článek se zabývá vytvořením automatizovaného systému pro hodnocení složitosti a predikce práce ve výrobě na vstupu, montáži a při montážních operacích, které používá ve strojírenské výrobě

Superparacompact type properties

In this paper we continue the study of superparacompact and weakly superparacompact spaces. Several new characterizations of superparacompact spaces are given. We also define two new covering properties which we show to be different from the above properties. The question of invariance and inverse invariance under various maps of these four covering properties is analysed. Finally we give a Tamano type theorem with respect to CO-normality.peer-reviewe

Employing combination procedures to short-time EOP prediction

A well known problem with Earth Orientation Parameters (EOP) prediction is that a prediction strategy proved to be the best for some testing time span and prediction length may not remain the same for other time intervals. In this paper, we consider possible strategies to combine EOP predictions computed using different analysis techniques to obtain a final prediction with the best accuracy corresponding to the smallest prediction error of input predictions. It was found that this approach is most efficient for ultra-short-term EOP forecast.Comment: 7 pages, presented at the IERS Workshop on EOP Combination and Prediction, Warsaw, Poland, 19-21 Oct 200

Compilation of regional financial balances for the ‘General Governance’ sector in the Ural Federal District

Relevance. In recent years, the significance of financial flows in the public sector in territorial development in Russia has been growing. To be able to analyze all public sector revenues and expenditures at the regional level, it is necessary to develop financial balances that take into account all flows of financial resources.Research objective. The purpose of this study is to create financial balances of the "General Governance" sector by using the example of six regions in the Ural Federal District.Data and methods. The study is based on the theoretical framework of the System of National Accounts. The author proposes a methodological approach to the consolidation of official statistical reports from open sources in accordance with the classification of government revenues and expenditures in national accounting.Results. The proposed methodology for calculating the income and expenditures of all budgets in the region, including the volume of direct federal expenditures, is based on comparing the data on the sources of added value formation. A database on income and expenditures of the regions of the Ural Federal District for the period 2014-2018 was made and a matrix of financial balances of the "General Governance" sector by regions for 2017 was built. To this end, the structure and amount of public institutions financing costs were specified and donor and recipient regions of the Ural Federal District were identified.Conclusions. Financial resources of the public sector affect the economy of the regions of the Ural Federal District in several ways. The regions specializing on oil and gas production are net donors to the sector, the rest of the regions cannot provide for themselves and are more dependent on federal funds. The sector "General Governance" generates more than 10% of GRP of Chelyabinsk and Sverdlovsk regions and more than 20% of Kurgan region. The results can be used for planning and forecasting of socio-economic development of certain areas

Magill-type theorems for mappings

Magill's and Rayburn's theorems on the homeomorphism of Stone-Čech remainders and some of their generalizations to the remainders of arbitrary Hausdorff compactifications of Tychonoff spaces are extended to some class of mappings

ФИНАНСОВОЕ СОСТОЯНИЕ РОССИЙСКИХ РЕГИОНОВ: ИНДИВИДУАЛИЗАЦИЯ УГРОЗ

The socio-economic development of Russian regions is extremely heterogeneous; at present, there is a strong differentiation of them according to various parameters. One of the main reasons for this situation is a significant gap in the regions in terms of the level of financial resources, predetermining the capabilities of regional state and local government bodies to regulate threats in the socio-economic development of territories. Under these conditions, the assessment of the financial condition of the regions and the identification of possible threats to development becomes relevant in the modern conditions of the growing crisis.The purpose of the study is to identify possible threats to the socio-economic development of regions by assessing the state of the financial sector.Research methods: the work uses the methods of general scientific analysis and comparison, applied mathematical methods for ranking regions based on average values. When identifying threats to the financial development of regions, the methods of generalization and grouping were applied.Results: the factors and indicators of threats arising in the financial sphere of the region, characterizing changes in the socio-economic development of the territory, have been systematized. A typology of Russian regions according to the level of development of the financial sphere is carried out, three types of regions are identified according to the level of development of the financial sphere. For each of the types of regions, the most obvious threats in the financial sphere in the context of a worsening economic situation are identified.Социально-экономическое развитие российских регионов крайне неоднородно, в настоящее время наблюдается сильная их дифференциация по различным параметрам. Одной из основных причин такого положения является значительный разрыв в регионах по уровню обеспеченности финансовыми ресурсами, предопределяя возможности региональных органов государственного и местного управления по регулированию угроз в социально-экономическом развитии территорий. В этих условиях оценка финансового состояния регионов и выявление возможных угроз в развитии становится актуальным в современных условиях нарастания кризисных явлений.Цель исследования – определить возможные угрозы социально-экономическому развитию регионов посредством оценки состояния финансовой сферы.Методы исследования: в работе использованы методы общенаучного анализа и сопоставления, применены математические методы ранжирования регионов на основе средних значений. При выделении угроз финансовому развитию регионов применены методы обобщения и группировки.Результаты: систематизированы факторы и индикаторы угроз, возникающих в финансовой сфере региона, характеризующие изменения в социально-экономическом развитии территории. Проведена типология российских регионов по уровню развития финансовой сферы, выделены три типа регионов по уровню развития финансовой сферы. Для каждого из типов регионов выделены наиболее явные угрозы в финансовой сфере в условиях ухудшения экономической ситуации.Область применения результатов: полученные результаты могут быть использованы в работе органов государственной власти при определении последствий финансовых кризисов для конкретных территорий или групп регионов

Segmentation of fingerprint images using the simplest neural networks

Основная статьяSegmentation of fingerprint images is one of the most important problems in automated fingerprint identification system (AFIS). Segmentation is used to separate the area of the fingerprint (foreground) from the background and areas that cannot be recovered. We propose a new algorithm for fingerprint segmentation based on simplest neural networks, binary region labeling technique, and morphological image processing. This approach was tested on public fingerprint dataset provided by Fingerprint Verification Competition (FVC) 2002. The experimental results showed an impressive accuracy was obtained: FAR 2.4%, FRR 1.1% with per-pixel comparison with the reference

Prostate cancer morbidity in the Mari El Republic: A retrospective observational study

Background. Prostate cancer maintains a relatively high standardized uptake value and share of patients followed up for 5 or more years. Accordingly, distant outcomes in these patients appear to be influenced by factors other than the underlying disease.Objective. To analyze the morbidity in prostate cancer patients with additional malignancies potentially linked with the decrease in the survival rate in the Mari El Republic.Methods. The present study involved 1434 prostate cancer patients firstly enrolled in the period from 2012 to 2021. A group of patients in this sample was identified with additional malignancies (other than prostate cancer) diagnosed within the period from 6 months prior to prostate cancer diagnosis to the end of 2021. Comparison of the incidence of malignancies among prostate cancer patients and the general population was performed via a 2 × 2 crosstab analysis by calculating the relative risk and its 95% confidence interval. The difference was considered significant when 95% confidence interval did not include 1. In addition, chi-square values and corresponding p-values were calculated. Statistical analyses were performed using SPSS 13.0 (SPSS Inc., USA) and Microsoft Excel 2007 (Microsoft Corporation, USA).Results. 31 (32.29%) additional malignancies were identified (prostate cancer was diagnosed within 6 months before prostate cancer diagnosis and up to 6 months thereafter), 7 additional malignancies (7.29%) were registered 6 months to 1 year after prostate cancer diagnosis, and 61 additional malignancies (63.54%) during the later period. The most common primary malignancies among all patients included: bladder cancer (relative risk = 15.23 [95% confidence interval: 10.42–22.26]), nonmelanoma skin cancer (relative risk = 3.77 [2.34–6.07]), colorectal cancer (relative risk = 2.10 [1.24–3.54]), gastric cancer (relative risk = 2.01 [1.08–3.73]), and kidney cancer (relative risk = 4.69 [2.51–8.75]).Conclusion. Within 7.1 years (median) of follow-up, additional malignancies develop in 6.70% of prostate cancer patients. These patients reveal the higher risk than the population average value, thereby constituting a risk group