Rational Form Research Articles

Hume’s liberalism based on Scottish jurisprudence

This study develops a view of Hume’s is/ought distinction as an extension of Scottish jurisprudence that, in turn, was influenced by Pufendorf’s discussion of entia moralia. Further, it investigates the unique role that Hume’s sentimentalism played in the production of elements in the context of liberalism under the rule of law, independently of previous philosophical traditions.First, we observe that Hume’s is/ought distinction corresponds to a distinction between uncivilized and civilized entities, rather than between amoral rationality and moral passions. Next, analyzing Hume’s argument for “moral evidence,” we find that such evidence is necessary for various activities, such as consent or trading, in the field of moral entities as civil societies. Finally, a study of Hume’s stance with respect to civil and common laws shows that his moral sentimentalism, which includes the is/ought distinction and moral evidence, suggests a new possibility for social development that is distinct from previous rational forms of jurisprudence. From this discussion, a unique sprout of modern liberalism can be seen in Hume’s theory of justice.

Hubert Treiber and the Sociology of Law of Max Weber: From the Ideal Types of Legal Rationality to the Plurality of Law

Abstract Hubert Treiber has established himself as one of the world’s leading scholars of Weber, in particular of his Sociology of Law. Especially, Treiber defends Weber’s decisive contribution to legal pluralism, comparable to Eugen Ehrlich’s, although from a quite different perspective. Indeed, it is not possible to analyse Weber’s distinction between state and non-state law (a central distinction for legal pluralism) without taking into consideration what he means, sociologically, by “law” on the one hand and by “the state” on the other. Weber’s ideal typical construction of social relations under the category “law” requires an Archimedean point, which is the formal rationality of law, closely associated, at the end of an historical development, with the efforts of legal abstraction and systematisation by the proponents of Pandectism in modern Germany. In the following text, linked to some of Treiber’s major works, the author addresses first Weber’s analysis of the rationalities of law, and then deals with the question of the plurality of law, as these two aspects are closely intertwined.

Analysis on the Feasibility of Integrated Education for Autistic Children in China

Autism is a psychological disorder caused by the deviation from the nerve tissue development in the human body, and patients with this disorder can be easily recognized in the crowd, mainly due to their social impairment and abnormal and strange behaviors. This paper first introduces the relevant definitions of autism and integrated education. Then, it draws out that autistic children are characterized by communication difficulties, social impairment, narrow interests, stereotyped behaviors, a delayed speech system, a lack of imitation ability, etc. Lastly, based on the current education situation in China, this paper points out that, at present, teachers professionalism lags behind the requirements of integrated education, curriculum resources cannot meet the needs of autistic childrens education, and current learning styles are not suitable for autistic children. In addition, the construction of classroom culture fails to reach the degree of mutual integration, the teaching and learning pattern in Chinese autistic classrooms is not scientific enough, and the number of related studies is small. Based on the above problems, corresponding solutions are proposed, including the allocation optimization of curriculum resources, rational formulation of learning styles and teaching strategies, and the enhancement of the linkage between home and school.

From occupational to organisational professionalism: Exploring the changing nature of professionalism in community learning and development (1975–2019)

Professionalism in the context of public sector professions is a changing concept, which is subject to different interpretations. The sociologist Julia Evetts has developed two models, occupational and organisational professionalism, which are useful conceptual tools which help us to understand from a wider theoretical perspective the changing nature of professionalism. Occupational professionalism refers to a model of professionalism that involves collegial authority, practitioner trust by both clients and employers, controls operationalised by practitioners and professional ethics monitored by institutions and associations. In this model, discourses about professions are constructed from within professional groups primarily by teaching and training institutions and professional associations. In contrast, organisational professionalism refers to a new form of professionalism which emerged in the 1990s whereby discourses about professions are constructed from outwith professions primarily by government, policy makers and management in the employing organisations where professionals work. This model involves a discourse of control increasingly used by managers in work organisations, rational legal forms of authority, hierarchal structure of authority and decision making, new public managerialism, accountability, and externalised forms of regulations, target setting and performance review. In this article, Evetts’ models are applied to the professional field of practice which in Scotland is known as Community Learning and Development. The article considers the ways in which CLD was historically influenced by both models and argues that the organisational model has intensified in recent years in a context shaped by austerity and its transformative impact on local government.

Formality and finiteness in rational homotopy theory

We explore various formality and finiteness properties in the differential graded algebra models for the Sullivan algebra of piecewise polynomial rational forms on a space. The 1 -formality property of the space may be reinterpreted in terms of the filtered and graded formality properties of the Malcev Lie algebra of its fundamental group, while some of the finiteness properties of the space are mirrored in the finiteness properties of algebraic models associated with it. In turn, the formality and finiteness properties of algebraic models have strong implications on the geometry of the cohomology jump loci of the space. We illustrate the theory with examples drawn from complex algebraic geometry, actions of compact Lie groups, and 3 -dimensional manifolds.

Experimental and theoretical DFT study of hydrothermally synthesized MoS2-doped-TiO2 nanocomposites for photocatalytic application

Two-dimensional (2D) transition metal dichalcogenides (TMDCs) have shown considerable potential in photocatalytic applications. In the present research, the hydrothermal technique was used to prepare 2D MoS2, TiO2, and 2D layered structured with basic ration formulation as MoS2(1-x)TiO2x (X = 5 %, 10 %w/w) nanocomposites as an effective catalyst for degradation of aqueous methylene blue (M.B.) under controlled light radiations. The GGA-PBE computed approach was used to estimate the energy bandgap (Eg), electronic, and optical properties of 2D MoS2, TiO2, and MoS2(1-x)TiO2x (X = 5 %, 10 %) by density functional quantum computing simulation. The TiO2 nanospheres were efficiently decorated on the surface of layered of MoS2 and some of nanospheres mixed into layered matrix. Scanning Electron Microscopy (SEM) and X-ray diffraction (XRD) investigate the morphology and crystal phase structure of the samples. Experimental and theoretical results related the energy bandgap (Eg) of the 2D layered structure of MoS2, TiO2, and MoS2(1-x)TiO2x (5 %, 10 % w/w) shows a decrement trend 1.56, 2.4, 1.02, and 0.5 eV respectively with increasing doping percentages. The observed extra gamma active states of MoS2(1-x)TiO2x (X = 5 %, 10 % w/w) are found to be generated and contributed to the creation of conduction and valance bands as the result of the decremented of their energy bandgap. The optical conductance was increased from 2.5 to 9.8 Ω−1cm−1 with a bandgap decrement of 2.4–0.5 eV in the ultraviolet–visible spectrum region. Exploration of theoretical and experimental results of this work, the MoS2(1-x)TiO2x (5 %, 10 % w/w) show increment in absorbance from 1.4 × 105 to 4.5 × 105 cm−1 and 0.6 cm−1 to 1.25 cm−1 respectively. The most interesting result is at the peak of 650 nm wavelength, as it is considered a proficient photo-catalyst material due to the enhanced absorption surface area for exposure of light and decrement of the photo-generated charge recombination rate and increment of the charge transportation with the inclusion of TiO2. The breakdown of methylene blue within 15 min confirmed that the prepared MoS2(1-x)TiO2x nanocomposite was a stable, and cost-effective material for photocatalytic application.

The Relationship Between the SDGs and Corporate Performance: Key Factors Contributing to the Achievement of the SDGs

Sustainability has become a key concern for businesses and government agencies around the world. Companies are increasingly recognizing that achieving the Sustainable Development Goals (SDGs) not only has a positive impact on the environment and society, but also has a significant impact on their own performance and competitiveness. Therefore, this thesis aims to explore in depth the impact of SDGs on business performance and analyze the key factors for achieving SDGs. Through comprehensive analysis of relevant literature and case studies, this thesis concludes that actively promoting the realization of SDGs is an effective way to improve corporate performance. In pursuing SDGs, companies can ensure the relevance of their business activities to SDGs through the rational formulation and implementation of sustainability strategies and integrate sustainability into core business decisions and processes. At the same time, enhancing stakeholder engagement is one of the key factors in achieving the SDGs. Working closely with stakeholders, including employees, consumers, suppliers, communities, and governments, can help companies gain broader support and cooperation to jointly drive sustainability. In summary, the findings of this thesis suggest that actively promoting the achievement of SDGs is critical to improving business performance. To successfully achieve SDGs, companies need to develop and implement sustainability strategies, enhance stakeholder engagement, and adopt innovative business models and technology solutions. This will provide companies with a long-term sustainable competitive advantage and make a positive contribution to society and the environment.

Insight into Functional Boiti–Leon–Mana–Pempinelli Equation and Error Control: Approximate Similarity Solutions

The Boiti–Leon–Mana–Pempinelli Equation (BLMPE) is an essential mathematical model describing wave propagation in incompressible fluid dynamics. In the present manuscript, a novel generalization of the BLMPE is introduced, called herein the functional BLMPE (F-BLMPE), which involves different functions, including exponential, logarithmic and monomaniacal functions. In these cases, the F-BLMPE reduces to an explicit form in the dependent variable. In addition to this, it is worth deriving approximate similarity solutions of the F-BLMPE with constant coefficients using the extended unified method (EUM). In this method, nonlinear partial differential equation (NLPDE) solutions are expressed in polynomial and rational forms through an auxiliary function (AF) with adequate auxiliary equations. Exact solutions are estimated using formal solutions substituted into the NLPDEs, and the coefficients of the AF of all powers are set equal to zero. This approach is valid when the NLPDE is integrable. However, this technique is not valid for non-integrable equations, and only approximate solutions can be found. The maximum error can be controlled by an adequate choice of the parameters in the residue terms (RTs). Multiple similarity solutions are derived, and the ME is depicted in various examples within this work. The results found here confirm that the EUM is an efficient method for solving NLPDEs of the F-BLMPE type.

328 Comparison of Predicted Nutritional Requirements of Two Feeding Systems for Dairy Cattle Implemented in a Monte-Carlo Simulation Model of Herd Dynamics

Abstract There is increased interest in precision-feeding systems that account for individual-animal variation and temporal dairy herd dynamics to increase feed-efficiency and reduce environmental footprints. The Ruminant Farm Systems (RuFaS; Hansen et al., 2021) model simulates individual animals on a daily timestep using a stochastic, Monte Carlo framework to represent the phenotypic diversity and population dynamics expected in a dairy herd. Within RuFaS, individual animal nutrient requirements are used to inform pen-level diet formulations and feed delivery. However, nutritional requirements for feeding dairy cattle were recently updated via consideration of both animal and diet-related factors. Our aim was to calculate individual animal predictions for dry matter intake (DMI), as well as energy and metabolizable protein requirements, and compare the methods described in the 7th (NRC, 2001) and 8th (NASEM, 2021) editions of the Nutrient Requirements for Dairy Cattle. For that purpose, we simulated dairy herds (ca. 6,000 individual Holstein animals per simulation, mean adult body weight = 671 kg, standard deviation = 79, mean daily milk production = 39.8 kg·day-1·cow-1 , standard deviation = 7.5) for 10+ year time periods with an updated version of RuFaS. The simulated herds provided a wide range of values with which to test the nutrient requirement models, and their implications. The NASEM DMI estimates were less across the board but began to converge towards NRC calculated values at the larger simulated animal body weights. The principal differences in energy requirements between the two models (NRC vs. NASEM) were: 1) predicted requirements for pregnancy were significantly greater for NASEM than NRC across all life history stages; 2) NASEM displayed slightly greater energy requirements for growth in first and second lactation cows, and; 3) NASEM predicted decreased maintenance requirements for all heifer stages but the opposite was true for mature cows. Metabolizable protein requirements were greater following NASEM calculations in heifers over 300 kg, but strikingly similar to NRC-computed values for lactating cows. Overall, results from this modeling study align with our expectations and demonstrate successful implementation of the two nutrition models within the RuFaS model. These outputs confirm the usefulness of data obtained to explore applications of the two nutrient requirement models under different precision feeding management practices and, to some extent, to quantitatively evaluate their viability of the models in edge cases that can occur within the expected variation of a herd’s population. Future work will explore downstream consequences of the nutrient requirement models within the automated, least-cost ration formulation framework using nonlinear programming and metrics related to manure output and storage. These data will guide further developments of RuFaS as whole farm simulation model and provide insights into expected variation in nutritional requirements within a dynamic set of animals.

Circular Economy in Wastewater Treatment Plants—Potential Opportunities for Biogenic Elements Recovery

Technologies used in municipal wastewater treatment plants (WWTPs) allow the recovery of energy and valuable elements (phosphorus, nitrogen, and organic carbon) for the soil. This article presents, in schematic form, the carbon, nitrogen, and phosphorus cycling in a WWTP with a load of 70,000 Population Equivalent and develops a spreadsheet to estimate their recovery. Biogas generation enables the recovery of 1126 Mg of organic carbon per year and the generation of 12.6 GWh of energy. The most rational form of organic waste recycling is the production of compost with fertilizing parameters, but efforts should be made to reduce iron compounds in its composition. It has been estimated that compost production provides the recovery of 30% of carbon, 98% of phosphorus, and 18% of nitrogen from the streams of these elements entering the WWTP. The possibility of partially replacing the iron coagulants used to precipitate phosphorus with waste magnesium salt is presented, leading to the precipitation of struvite, which is well absorbed by plants. The article presents the advantages of combining sewage treatment with organic waste management in WWTPs. The developed spreadsheet allows for the control of energy recovery through the quantitative selection of organic waste for fermentation.

Effect of Rearing System and Physical form of the Total Mixed Ration on Growth Performance of Local Male Lambs

The University of Anbar’s Department of Animal Production hosted this experiment on their sheep farm from October 18, 2022, through January 6, 2023. Twenty-two local male lambs, ranging in age from 3.3 to 3.5 months, and averaging 20.2±2.28 kilograms were included. The purpose of the experiment was to determine the influence of the rearing system and physical form of the total mixed ration on the growth and feeding performance of local male lambs. Lambs were randomly distributed into four treatments. T1 (group housing + loose diet) included 6 Lambs distributed in three group cages (2 Lambs /cage), T2 (group housing + pellet diet) included 6 Lambs distributed in three group cages (2 Lambs /cage), T3 (individual housing + loose diet) included 5 Lambs distributed in five individual cages (1 lamb / cage), and T4 (individual housing + pellet diet) included 5 Lambs distributed in five individual cages. A total of 63 days were devoted to the actual experiment. All lambs were fed ad-libitum to the Pelleted and loose total mixed ration. Throughout the duration of the experiment, the parameters of growth and nutritional performance were estimated. The results of present experiment showed that the individual rearing system significantly improved daily feed intake and dry matter intake compared with grouped rearing system. The pelleted total mixed ration was superior to the loose total mixed ration in growth performance (final body weight, total weight gain, daily weight gain) and feeding performance (feed conversion ratio, feeding efficiency), and decreased the cost of producing 1 kg of weight gain. The results showed that the growth and feeding performance of local male lambs were significantly boosted by the interaction between individual housing and pellet diet. Researchers found that fattening lambs’ productivity might be improved with the use of individual housing combined with a pellet diet.

Incorporating ecosystem services into functional zoning and adaptive management of natural protected areas as case study of the Shennongjia region in China

Against the background of global climate change and anthropogenic interference, studying the spatial and temporal heterogeneity of ecosystem services in important ecological function regions and rationally dividing the functional zones will help to promote the construction of the natural protected areas system dominated by national parks. The Shennongjia Region is an important candidate for China's national parks and one of the key pilots. Integrating the InVEST model, Getis-Ord Gi* index, hotspot analysis, GeoDetector and K-means clustering algorithm, we measured five ecosystem services interactions and delineate the functional zones. The results show that the spatial and temporal evolution of various ecosystem services in the Shennongjia Region between 2000 and 2020 was significant. All ecosystem services showed a decreasing and then increasing trend, except for carbon storage, which slowly declined. The ecological status of the region is in the process of polarization, with the local environment showed a trend of continuous deterioration. Water yield-habitat quality and carbon storage-water purification showed synergistic relationships; soil conservation showed trade-offs with water yield, carbon storage and water purification over a wide spatial range. The interaction between land surface temperature and vegetation cover was the most significant dominant factor. Hot spots for the comprehensive ecosystem services index were mainly located in the central and southern parts of the Shennongjia region and four types of ecosystem service functional zones were identified accordingly. This study is of great significance for maximizing the benefits of ecosystem service functions, the efficient allocation of environmental resources and the rational formulation of management policies in natural protected areas.

Optimization of the Pedagogical Process in Teaching Chemistry to First-Year Students of the Ural State Medical University

The purpose of research is to determine directions for optimizing the educational process with the introduction of new methodological approaches. For this purpose, the paper set the tasks to analyze the current methodological aspects of the component of the pedagogical process of teaching chemistry to first-year students of the medical and preventive faculty of the Ural State Medical University (USMU, Yekaterinburg); asess the impact of new methodological approaches in teaching on the performance of students. The discipline “Chemistry” is studied in the first semester, classroom hours for the discipline include lectures (32 hours), practical exercises and laboratory work (34 hours), which are conducted at the department of general chemistry of USMU.Materials and methods. The methodology for teaching chemistry to first-year students of the medical and preventive faculty of USMU (Ekaterinburg) is analyzed. The largest faculty was selected for the study. Over the course of 10 years, during the period of Federal State Educational Standard-3, the number of students at this faculty increased from two streams in the 2012-2013 academic year (300 people) up to four streams in the 2022-2023 academic year (700 people). Attestation in the discipline takes place in the form of a written test with an assessment (exam). Statistical processing of data on exam results and rating scores in the semester was carried out in the Microsoft Excel 2019 program. The obtained indexes are presented as arithmetic mean values and standard error of the mean (M±m).Results. Pearson's r-correlation coefficients were calculated to assess the linear relationship of variables: the percentage of correct answers in the exam ticket, the final student rating in the semester, the exam rating, the certification grade. To test the hypothesis about the effectiveness of the chosen teaching methodology, Pearson's test of agreement (χ2 ) was calculated for the sample size of students (n ≥ 100). The pedagogical process carried out in teaching chemistry to first-year students of the medical and preventive faculty is a complex system that includes target, content, activity, performance, resource components. The activity component of the organization of the pedagogical process was modified as follows: a new form of the examination card was developed, as close as possible to the form of control materials for the unified state exam in chemistry, the structure of the practical lesson was rationalized, and a new laboratory workshop was created and tested. The results of the exam in chemistry were analyzed using Pearson's goodness-of-fit test at a significance level of p<0, 05 in two groups of questions: 1 - on topics covered by a laboratory workshop and 2 - on topics not provided with laboratory work. The rating indexes of students when performing tasks related to the first group of questions are significantly higher than in the second group. ><0,05 in two groups of questions: 1 - on topics covered by a laboratory workshop and 2 - on topics not provided with laboratory work. The rating indexes of students when performing tasks related to the first group of questions are significantly higher than in the second group.Conclusion. When using an optimized laboratory practice in chemistry, the most rational form of the lesson is chosen, in which laboratory experiments are included. Comprehensive planning of such classes is carried out differently. The didactic tasks of the lesson are subordinated to highlighting what is essential in the content of the educational material. The presence of an optimized workshop significantly contributes to the choice of the most effective methods and forms of training for a given lesson, leading to an increase in student performance. It is shown that the updated form of the laboratory workshop in chemistry, along with the rationalization of the structure of the lesson and the form of the exam make it possible to achieve maximum learning outcomes with a limited time interval for classroom work. The new form of the examination card, along with the modernized practicum, contributed to the high marks in the exam. It is shown that a properly organized form of passing the exam allows you to adjust the progress of each student and set an objective assessment in chemistry.

Prediction of China's industrial carbon peak: Based on GDIM-MC model and LSTM-NN model

The industrial sector is the key area for China to achieve the carbon peaking goals, as it accounts for more than 65 % and 70 % of the national total energy consumption and carbon emissions. However, the discussion on the time and route of carbon peak in China in the existing literature is still quite different. In this study, we establish three scenarios and comprehensively used Monte Carlo simulation and LSTM Neural Network model to predict the evolution trends of China's industrial carbon emissions during 2020–2030. Firstly, the decomposition results of the Generalized Divisia Index Method shows that fixed assets investment is the most important factor for promoting and carbon intensity of investment is the key for reducing carbon emissions. Then, basing on the Monte Carlo dynamic simulation, we could draw the three kinds of carbon emissions route that it will peak in 2031 in the Baseline scenario, in the Green Development scenario (environmental policy improvement) and Technological Breakthrough scenario (green technology progress) will peak in 2027 and 2025, and under the LSTM Neural Network model, peak time will occur in 2028. Comparing the results of above predictions, China's industrial carbon emissions could peak by 2030(in GD scenario, 2027; TB scenario, 2025). Finally, we discuss the path of China's industrial carbon emissions reduction and provide a reference for the rational formulation of low-carbon regulatory policies in the future and the realization of sustainable development.

Exploring the solitary wave solutions of Einstein's vacuum field equation in the context of ambitious experiments and space missions

In the present work, Einstein's vacuum field equation is investigated analytically to explore the solitary wave solutions. This equation arises in mathematical physics, having meaningful applications in the general theory of relativity. This concept is crucial for numerous challenging experiments and space missions. The generalized exponential rational function and modified auxiliary equation approaches are used to obtain the exact solitary wave solution. Various types of solutions are extracted, including exponential functions, hyperbolic functions, trigonometric functions, and rational forms. Additionally, a stability analysis for the Einstein vacuum field equation is conducted. Appropriate parameters are chosen to draw 3-D and corresponding contour plots of some solutions, which clearly demonstrate the solitary wave behaviors. The obtained results support the idea that applying these approaches is the most effective strategy for resolving any nonlinear issues that may arise in science and technology.

The 3-loop polynomial of knots obtained by plumbing the doubles of two knots

The 3-loop invariant (or, the 3-loop polynomial) of a knot is a rational form (or, a polynomial) presenting the 3-loop part of the Kontsevich invariant of knots. In this paper, we calculate the 3-loop polynomial of knots obtained by plumbing the doubles of two knots; this class of knots includes untwisted Whitehead doubles. We construct the 3-loop invariant by calculating the rational version of the Aarhus integral of a surgery presentation. As a consequence, we obtain an explicit presentation of the 3-loop polynomial for the knots.

TECHNOLOGY OF OBTAINING DRY EXTRACTS FROM HERBAL MIXTURES

In modern medical practice, a special place is occupied by herbal mixtures, the range of which is constantly increasing, and the list of indications for use is expanding. However, there are a number of inconveniences for patients when using them: the presence of an additional technological stage for obtaining an aqueous extract; lack of accuracy when dosing this form and a short shelf life at home. All this makes the search for new, more rational dosage forms based on fees relevant. Such dosage forms include dry extracts, which are obtained on an industrial scale. This type of total preparations can be used as an intermediate in the preparation of finished dosage forms (tablets, capsules, etc.), which are easy to use, well dosed and have a long shelf life. Purpose: development of technology for obtaining dry extracts from herbal mixtures - urological, nephrolytic and hypoglycemic. Materials and methods. Based on the use of medicinal plants in folk and scientific medicine, various compositions of herbal mixtures have been developed. On the basis of pharmacological screening, the most effective formulations were selected, which were chosen as objects of study: "Urological collection"; "Nephrolytic collection"; "Hypoglycemic collection". When obtaining dry extracts, the methods of maceration and repercolation were used. The quality of the obtained extracts was assessed according to the following indicators: appearance, authenticity, moisture content, heavy metals, microbiological purity, quantitative content of biologically active substances (polyphenolic compounds and polysaccharides). The technological parameters of the studied phytocompositions have been established. The optimal extraction conditions were determined: raw material fineness – 2–3 mm, extractants: 50% ethyl alcohol (“Urological”) and purified water (“Hypoglycemic” and “Nephrolytic”), the optimal ratio of raw materials and extractant is 1 : 30, temperature – 70–80 °С ("Urological" and "Nephrolytic") and 90–100 °С ("Hypoglycemic"). The optimal method for obtaining dry extracts from herbal mixtures, maceration, was experimentally selected. A technology for obtaining dry extracts from herbal mixtures has been developed, in particular, the influence of extraction conditions depending on temperature, the degree of grinding of raw materials, the type of extractant, the ratio of raw materials and extractant has been studied.

Determining key features of the operation of percussion downhole drilling machines

Dnipro University of Technology is a leading institution where an authoritative scientific school was formed to solve the fundamental issues of percussive-rotary drilling with the help of hydraulic hammers. This method makes it possible to intensify significantly the mining processes of rock mass breaking. In order to perform the specified function as fully as possible, hydraulic hammers are to work in a certain technological mode and have appropriate technical characteristics; the paper deals immediately with the analysis of those characteristics. The original designs of hydraulic hammers proposed by the authors are distinguished by a high degree of reliability of the interaction of individual parts and assemblies. Simulation of the operation of hydraulic hammers under appropriate mode-parametric support revealed a number of their significant advantages, i.e. in terms of creating effective conditions for rock mass disintegration. It has been proven convincingly that some features of the approaches to the implementation of a hydraulic well washing programme correspond to the stability of a high-quality process of the downhole work of percussion machines. As a result of the research, a composition of some rational formulations of flushing fluids, which contribute to a significant acceleration of the development of destructive processes, was clarified.

Study of hydroerosion process parameters of zeolite-smectite tuffs and underlying rock

The paper considers the expediency of complex processing of zeolite-smectite tuffs using the method of borehole hydro-mining. The basic information about deposits of zeolite-smectite tuffs in the Rivne-Volyn region of Ukraine and the main areas of their application in industry are presented. Also, the method of calculating the parameters of the process of hydraulic erosion of tuffs and underlying rocks by the method of borehole hydro-mining is given, and the dependence of the specific consumption of the working agent during erosion of tuffs and underlying rocks on the diameter of the nozzle at variable pressure is presented. The dependences for determining the rational forms of recess chambers with the specified erosion radius are given.

Comparison of Rational Krylov and Vector Fitting in Transient Simulation of Transmission Lines and Cables

This paper presents stringent comparisons between Vector Fitting (VFIT), Relaxed Vector Fitting (R-VFIT) and Rational Krylov Fitting (RKFIT) techniques in the fitting of transmission line and cable functions to rational forms while accounting for the frequency dependence of electrical parameters. The fitting procedures encapsulate new solution strategies to improve fitting performance. Various case studies are presented to assess the performance of RKFIT in terms of model order reduction, passivity violation and computing times. In addition, the use of RKFIT in obtaining the frequency dependent cable model (FDCM) is demonstrated for the first time together with a resolved case study that showed unstable behavior with the universal line model (ULM) methodology.