Distortion Coefficients of the $$\alpha $$-Grushin Plane

We compute the distortion coefficients of the $$\alpha $$ α -Grushin plane. They are expressed in terms of generalised trigonometric functions. Estimates for the distortion coefficients are then obtained and a conjecture of a measure contraction property condition for the generalised Grushin planes is suggested.

Wooden Extra Stories in Concrete Block of Flats in Finland as an Ecologically Sensitive Engineering Solution

This chapter examined the various stages and benefits of wooden extra stories from the perspective of Finnish housing and real estate companies through interviews with professionals involved in these projects. Key findings highlighted are as follows: (1) in the feasibility study, project planning primarily focuses on property condition and potential improvement targets as well as other considerations, for example, compliance with current regulations and parking arrangements; (2) in the project planning, application of extra stories is thoroughly examined, and construction costs, profits, and the sale of building rights are discussed; (3) in implementation planning, issues related to building rights, city plan change, and conditions of the company that manages the property play an important role; and (4) during construction, frequent information updates are made to residents regarding the site arrangements and the construction program. Wooden extra floor construction, which requires commitment, investment, and cooperation among the interested parties, has great potential in construction technology, contracting mechanisms, and ecological engineering solutions. It is believed that this chapter will increase the dissemination of wooden extra stories, thus contributing to the greater use of more sustainable materials in renovation projects and the ecologically sensitive engineering approaches to meet the challenges arising from climate change.

Influence of requirements in automotive roads and their status on the estimation of propertty valuation characteristics

Features of the structure of the road economy, as part of the country's economy, affect the creation of a systematic methodology for assessing its property, when individual components will determine the peculiarities of the use and development of road infrastructure. To this end, for the purpose of assessing the property status of highways, which are the main component of the road economy, it is recommended to develop different models of approach to the definition of property valuation of highways. In the article the directions and models of estimation of the property condition of highways are offered, with the use of different concepts of determining their needs in the infrastructure of the region's economy and the need to maintain them in the proper operating condition. The combination of needs and the state of highways is used as a conceptual criterion for the formation of models for their evaluation as property in the structure of the region's economy. According to this criterion, a road is considered as an object which: A - provides social and administrative needs for the organization of motor transport in the region and the implementation of passenger transportation; B - can make a profit as a result of its use; C - is a part of the main productive assets of the region and the state as a whole, which should be maintained in good condition; D - a national economic object of a specific purpose, which is used to provide activities of individual sectors of the economy. The proposed structural classification of highways according to the conceptual criterion of their needs and conditions - A, B, C and D - is the basis for the formation of different models for assessing their property status, the peculiarities of which are discussed in the article. The main principle of such a classification of motor roads and transport facilities in general for the purpose of their property assessment is that they are considered as objects or sub-entities in the models of calculating the property of owners or users of transport facilities.

TRANSFORMATION OF MODERN METHODS OF FINANCIAL ANALYSIS OF CONSOLIDATED FINANCIAL STATEMENTS OF ENTERPRISES

The main goal of this research is to identify those indicators of reporting of associations of enterprises that change their nature or content under the influence of consolidation against the background of the application of IFRS, as well as areas of transformation of methods of its analysis. The article reveals the essence of consolidated financial statements and the peculiarities of the process of its formation. Financial information becomes the main tool of communication and formation of business image of enterprises in the market environment. The carrier of such information is the financial statements, which are compiled according to international standards, which are constantly progressing and reforming. As a result, business owners have more and more freedom in its formation, despite the global harmonization of the list of indicators and their content, which allows you to present your business in a favorable light and assess those aspects of contractors that are most important for further cooperation. The main information needs of groups of users of consolidated financial statements are considered. The authors specify the areas of analysis of the financial and property condition of the group of enterprises according to the consolidated financial statements and substantiate the reasons for the need for their transformation. Some aspects of the analysis of the consolidated financial statements are characterized, which do not allow to form a correct idea of the financial and property condition of its individual elements. The accounting components of the consolidated financial statements are determined, which may distort the results of the coefficient analysis and indicators of their modification. The peculiarities of the analysis of such reporting are due to the transformations of the accounting content of its indicators - the reflection of contingent assets, liabilities, risks, possible costs and revenues. All components of analysis methods - horizontal, vertical, trend, and especially - coefficient - undergo certain changes. The need to disseminate cost-oriented approaches in the analysis of consolidated financial statements is substantiated.

Improved Version of Graph-Cut Algorithm for CT Images of Lung Cancer With Clinical Property Condition

In a clinical evaluation, the detection of lung cancer is a challenging task. Segmentation methods are used to detect the extra growing nodule. Early diagnosis of lung cancer is significant in clinical research. The early stage of lung nodules is very soft tissues and tough to segment accurately. Generally, conservative graph cut methods are very weak to detect those soft edges in medical images. In this article, the proposed algorithm is improved to obtain the accuracy of the process to segment the edges than the conventional graph cut methods. This investigation is executed to shows the accuracy of lung segmentation.

Fast Thresholding Algorithms with Feedbacks and Partially Known Support for Compressed Sensing

Some works in modified compressive sensing (CS) show that reconstruction of sparse signals can obtain better results than traditional CS using the partially known support. In this paper, we extend the idea of these works to the null space tuning algorithm with hard thresholding, feedbacks ([Formula: see text]) and derive sufficient conditions for robust sparse signal recovery. The theoretical analysis shows that including prior information of partially known support relaxes the preconditioned restricted isometry property condition comparing with the [Formula: see text]. Numerical experiments demonstrate that the modification improves the performance of the NST+HT+FB, thereby requiring fewer samples to obtain an approximate reconstruction. Meanwhile, a systemic comparison with different methods based on partially known support is shown.

The matrix model for assessing the investment attractiveness of industrial enterprises

The article defines the role of evaluation of investment attractiveness of the enterprise. The main directions of methodological approaches to the assessment of investment attractiveness of the enterprise are given, their peculiarities and purpose are defined. The main disadvantages of methodological approaches to the assessment of investment attractiveness are revealed. It is proposed to use a matrix model to evaluate the investment attractiveness of an industrial enterprise. The necessity of using precisely a matrix model of complex nature to assess the investment attractiveness of industrial enterprises based on the use of quantitative and qualitative factors is substantiated. The main advantages of the matrix model of estimation of investment attractiveness of the enterprise are determined. A methodological toolkit for estimating the investment attractiveness of an industrial enterprise on the basis of a matrix model has been improved, taking into account the current state of domestic industrial enterprises and identifying problematic areas of activity. The matrix model has been supplemented with a matrix of quantitative indicators by a group of property condition indicators, which will allow the investor to take a more objective approach to assessing the investment attractiveness of an industrial enterprise. Quantitative indicators of investment attractiveness are grouped and their marginal evaluation criteria are given. The general index of quantitative characteristic of investment attractiveness of industrial enterprise and possible variants of estimation of its financial condition are determined. The qualitative indicators of estimation of investment attractiveness on the basis of the matrix model are given, they are given weighting coefficients and their boundary intervals are defined. On the basis of qualitative and quantitative indicators, the levels of the generalized index of investment attractiveness of an industrial enterprise according to the matrix model have been formed, which will allow to prove to the investor the expediency of investing in an industrial enterprise. Keywords investment; investment attractiveness; investment potential; enterprise; matrix model.