Proper Conditions Research Articles

Existence, Blow-Up, and Blow-Up Rate of Weak Solution to Fourth-Order Non-Newtonian Polytropic Variation-Inequality Arising from Consumption-Investment Models

This article obtains the conditions for the existence and nonexistence of weak solutions for a variation-inequality problem. This variational inequality is constructed by a fourth-order non-Newtonian polytropic operator which is receiving much attention recently. Under the proper condition of the parameter, the existence of a solution is proved by constructing the initial boundary value problem of an ellipse by time discretization and some elliptic equation theory. Under the opposite parameter condition, we analyze the nonexistence of the solution. The results show that the weak solution will blow up in finite time. Finally, we give the blow-up rate and the upper bound of the blow-up time.

Experimental study of air cargo temperature variations and its impact on mango quality

An air cargo supply chain for fresh mango was investigated from Thailand to France. Measurements of air temperature, air relative humidity, and fruit (peel) temperature were conducted using thermo-hygrometer data loggers in cartons. In a Unit Load Device (ULD) containing 148 cartons, twenty-seven instrumented cartons were placed at different positions to observe spatial and temporal temperature variations during 12 h cruising. At the destination, mango quality attributes were assessed at different time-points during 15-day storage at 16.1 °C and 21.6 °C. Throughout the supply chain, fruit temperatures ranged from 16.6 °C to 30.5 °C. During cruising, fruit temperatures in upper cartons remained almost constant, whereas base carton temperatures continuously decreased from 26.1 °C to 18.1 °C. Because of a short cruising period in comparison to a storage duration at the destination and proper ambient temperature condition during the experiment, carton position in the ULD had no discernible impact on fruit quality during storage. Fruit stored at 16.1 °C preserved superior fruit quality compared to 21.6 °C storage. For the same storage temperature, better quality of fruits stored in Thailand demonstrated the impact of air shipment on product degradation. The measured temperature and relative humidity evolutions were used as input parameters of a mass loss evolution model. A comparison with the measured data exhibited good agreement (RMSE < 1.8 % mass loss). Considering 10 % mass loss as a critical value, this model allows an estimation of the product shelf life based on a supply chain scenario.

Modeling Excitable Cells with the EMI Equations: Spectral Analysis and Iterative Solution Strategy

In this work, we are interested in solving large linear systems stemming from the extra–membrane–intra model, which is employed for simulating excitable tissues at a cellular scale. After setting the related systems of partial differential equations equipped with proper boundary conditions, we provide its finite element discretization and focus on the resulting large linear systems. We first give a relatively complete spectral analysis using tools from the theory of Generalized Locally Toeplitz matrix sequences. The obtained spectral information is used for designing appropriate preconditioned Krylov solvers. Through numerical experiments, we show that the presented solution strategy is robust w.r.t. problem and discretization parameters, efficient and scalable.

Investigation of Thermal Comfort, Productivity and Lighting Conditions in Higher Education Buildings

Thermal comfort and lighting conditions are essential aspects of indoor environmental quality. They are considered to influence the productivity of room users. The paper presents the experimental test results of research conducted in the university educational building of Kielce University of Technology (Central Poland) using anonymous questionnaires and physical measurements of indoor air parameters with a high-precision microclimate meter. It covers the analysis of the subjective assessment of thermal sensations, acceptability and preference, as well as productivity, lighting and air quality in eleven rooms (both lecture rooms and classrooms). The study analyses the impact of the indoor environment (mostly air temperature and illuminance) on the subjective sensations of the respondents they expressed in the questionnaires. The experiments have enabled us to provide valuable insights into developing the proper indoor environmental conditions to maximise room users' comfort and productivity.

Повышение эффективности очистки канализационных труб

Today, the level of accessibility to water supply and sewage systems, their technical condition, and the quality of maintenance and cleaning are among the elements determining the quality of life in cities and small settlements. Efficient sewage systems are vital to maintaining environmental safety, the established sanitary norms, and the conditions of people’s comfortable accommodation. All these factors require the communal services of cities and megalopolises to maintain sewage systems in proper technical conditions, minimize operational costs, extend the service life of the systems, and organize and implement new treatment technologies. According to experts, the main enemy of the internal sewage systems is grease abundant in domestic wastewater. The initially warm wastewaters are soon cooled in the pipe, and grease impurities settle on the walls of the sewage pipe. The layer of grease deposits may trap other impurities, thus contributing to the formation of a larger and more complex clog. The development and implementation of new contemporary methods of treatment of sewage systems and, particularly, the use of ultrasonic vibrations reduces operational costs, extends the service life of the systems, and ensures environmental safety. For these purposes, the ultrasonic generator UZG-10 of 10 kW capacity was used, as well as the magnetostrictive ultrasonic transducer with a magnetoconductor with three rods. The middle rod is equipped with finished windings that rigidly connect the free ends of the other rods. The provided scheme of transducer manufacturing increases the efficiency of pipe treatment and significantly reduces energy costs.

Fabrication, Optimization, and Evaluation of Transdermal Patch: As an Alternative and Effective Transdermal Delivery System for Nebivolol HCl.

Nebivolol HCl is a unique third-generation beta blocker that has less oral bioavailability and exhibits various adverse effects like gastrointestinal disturbance and abdominal pain. This study aimed to formulate and evaluate nebivolol HCl transferosomal transdermal patches to reduce the problems associated with oral delivery of the drug and enhancement of drug permeation through the skin. Nebivolol HCl loaded transferosomes were prepared by thin film hydration method. Eight formulations were prepared based on the two independent variables, type of surfactant (Tween 80 and Span 80) and Phospholipid: Edge activator ratio and were evaluated for their vesicle size, PDI, and entrapment efficiency. The optimized formulations were incorporated into transdermal patches, which were evaluated for physicochemical properties, in-vitro and ex-vivo permeation, skin irritancy, and stability studies. The vesicle size of the transferosomes ranged from 49nm to 93nm, and EE% varied from 39% to 79%. Vesicles formed with Span 80 as an edge activator showed smaller vesicle size and greater EE% as compared to Tween 80. Based on the results, TW4 and SP4 were selected as the optimized formulations for further incorporation into the transdermal patches. In-vitro and ex-vivo permeation studies showed permeation in the order F2 > F3 > F1, indicating that transferosomal formulations showed superior permeation of the drug compared to plain Nebivolol HCl patches. Span 80 transferosomes showed a slightly better permeation than Tween 80. Stability studies showed that transferosomes and the transdermal patches demonstrated good stability under proper storage conditions. The study concluded that transferosomal patches of Nebivolol HCl could be used as a potential approach with effective transdermal delivery for the management of hypertension.

On the shock wave boundary layer interaction in slightly rarefied gas

The shock wave and boundary layer interaction (SWBLI) plays an important role in the design of hypersonic vehicles. However, discrepancies between the numerical results of high-temperature gas dynamics and experiment data have not been fully addressed. It is believed that the rarefaction effects are important in SWBLI, but the systematic analysis of the temperature-jump boundary conditions and the role of translational/rotational/vibrational heat conductivities are lacking. In this paper, we derive the three-temperature Navier–Stokes–Fourier (NSF) equations from the gas kinetic theory, with special attention paid to the components of heat conductivity. With proper temperature-jump boundary conditions, we simulate the SWBLI in the double cone experiment. Our numerical results show that, when the three heat conductivities are properly recovered, the NSF equations can capture the position and peak value of the surface heat flux, in both low- and high-enthalpy inflow conditions. Moreover, the separation bubble induced by the separated shock and the reattachment point induced by impact between transmitted shock and boundary layer are found to agree with the experimental measurement.

Revitalizing Bites - Formulation of Low-budget Nutri Crackle Rusk for Empowering Pediatric Oncology Warriors.

Nutri Crackle rusk, developed using an innovative pigmented variety of black rice flour, possesses a rich nutritional profile with essential amino acids, dietary fibers, and antioxidants, offering unique health benefits beyond traditional rice varieties. Establishing healthy eating habits during childhood cancer treatment is crucial for long-term well-being. Mindful consumption, incorporating Nutri Crackle rusk instead of empty-calorie snacks, can significantly improve the quality of life of childhood cancer survivors during their survivorship period. The novel Nutri Crackle rusk using black rice flour was developed under proper hygienic conditions. Semi-trained panel and consumer panel members evaluated the organoleptic properties of the developed product. Nutrient components of the formulated Nutri Crackle rusk were examined through an organoleptic assessment. The nutrient composition of the formulated Nutri Crackle rusk was analyzed using a standard procedure. Sensory evaluation indicated positive feedback, with an overall acceptability score of 8.01. Nutrient analysis revealed a well-rounded profile, emphasizing energy provision (464.285 kcal), (11.97 g protein), (11.29 g fiber), and essential micronutrients (zinc, iron, and vitamins B1 and B2). Nutri Crackle rusk is a favorable and potentially beneficial snack for this vulnerable group. The study signifies that the novel healthy Nutri Crackle rusk is rich in fiber, zinc, iron, protein, vitamin B1, and vitamin B2. Intake of the developed Nutri Crackle rusk could be a healthy alternative for pediatric cancer patients and cancer survivors.

Timing implant provisionalization: Decision-making and systematic workflow.

Provisionalization is an important step to achieve esthetic results in implant cases, and many different techniques for provisional restoration fabrication have been described. However, depending on the clinical scenario, the provisionalization strategy will require different approaches and timing. The clinician should modify the provisional restorations efficiently to reduce the number of disconnections from the implant, as repeated disconnections may have biological consequences. This article aims to schematize different scenarios requiring implant provisionalization and propose strategies to help the clinician condition the peri-implant tissues, respecting perio-prosthodontic fundamentals for soft tissue, biological, and esthetic stability. The clinical outcomes of modern implant therapy aim to achieve results that emulate natural dentition. Different scenarios may require adjunct therapy, including hard- and soft-tissue grafting, which complicates treatment. The provisionalization strategy will vary depending on the initial condition of the tissues, the need for reconstructive procedures, and the timing of implant placement. Selecting the right strategy based on the case type is necessary to reduce treatment time and complications associated with inadequate prosthetic handling of the soft tissues. Proper emergence profile conditioning through provisional restorations will allow for biologically sound and esthetically pleasing outcomes in implant restorations.

Open-source versatile 3D-print animal conditioning platform design for in vivo preclinical brain imaging in awake mice and anesthetized mice and rats.

Proper animal conditioning is a key factor in the quality and success of preclinical neuroimaging applications. Here, we introduce an open-source easy-to-modify multimodal 3D printable design for rodent conditioning for magnetic resonance imaging (MRI) or other imaging modalities. Our design can be used for brain imaging in anesthetized or awake mice, and in anesthetized rats. We show ease of use and reproducibility of subject conditioning with anatomical T2-weighted imaging for both mice and rats. We also demonstrate the application of our design for awake functional MRI in mice using both visual evoked potential and olfactory stimulation paradigms. In addition, using a combined MRI, positron emission tomography and X-ray computed tomography experiment, we demonstrate that our proposed cradle design can be utilized for multiple imaging modalities.

Law enforcement function of the state in the field of intellectual property protection

In the conditions of innovative development of economic relations, the role of the law enforcement function of the state is increasing, which requires its authorised bodies and officials to ensure the guaranteed rights of citizens to protect their property and personal non-property rights in the field of intellectual property according to the Constitution and laws of Ukraine. This problematic issue remains relevant for the majority of intellectual property rights holders. The purpose of the study is to reveal the peculiarities of the law enforcement function of the state in ensuring the protection of certain objects of intellectual property. The methodological basis of the research consists of a set of general scientific and special methods and techniques of scientific cognition, including philosophical, metaphysical, deductive and inductive methods, methods of abstraction, modelling, and forecasting, which in combination helped to achieve the set goal. Based on the analysis of a significant number of regulatory legal acts and scientific opinions, research on the law enforcement function of the state in the field of intellectual property, which covers a wide range of private and public interests, has been conducted. The implementation of these constitutional provisions lies in creating proper and effective economic conditions for attracting investments in innovative product creation, and in case of their violation, the state, through its authorised bodies, is obliged to ensure the protection of violated rights. Attention is drawn to the specifics of the main law enforcement functions of the state, which provide for the creation of necessary conditions and stimulation of authors (creators) to obtain the result of creative activity, promote the free use (circulation) of the results of intellectual activity, protection of violated or contested intellectual property rights. It is emphasised that national legislation contains a list of actions that constitute a violation of intellectual property rights, which provide grounds for administrative or judicial protection. Existing gaps in legal protection of intellectual property are analysed. Attention is paid to the state of legislative reflection of the interests of participants in relations in the field of artificial intelligence, determination of the grounds and consequences of legal regulation in the European Union and Ukraine. The results of the work can be used by lawyers as well as by officials of state bodies ensuring the law enforcement function of the state in the researched sphere of relations

Deciphering orbital hybridization in heterogeneous catalysis

AbstractThe catalytic coordinate is essentially the evolving frontier orbital interaction while feeding with catalytic materials and adsorbates under proper reaction conditions. The heterogeneous catalytic reaction mechanism involves the initial adsorption and activation of reactants, subsequent intermediate transformation, final target product desorption, and regeneration of catalytic materials. In these catalytic processes, interaction modulations in terms of orbital hybridization/coupling allow an intrinsic control on both thermodynamics and kinetics. Concerned charge transfer and redistribution, orbital splitting and rearrangement with specific orientation, and spin change and crossover pose a formidable challenge on mechanism elucidation; it is hard to precisely correlate the apparent activity and selectivity, let alone rational modulations on it. Therefore, deciphering the orbital couplings inside a catalytic round is highly desirable and the dependent descriptor further provides in‐depth insights into catalyst design at the molecule orbital level. This review hopes to provide a comprehensive understanding on orbital hybridizations, modulations, and correlated descriptors in heterogeneous catalysis.

CAR TRANSPORTATION IN UKRAINE: DOCUMENTATION AND FEATURES OF ACCOUNTING

The article examines approaches to documentation and accounting of road passenger transportation. The main problematic aspects regarding the regulatory and legal regulation of this direction of entrepreneurial activity are considered. One of the issues covered in this article is the lack of generalized regulations on the documentation of primary documents. Systematized seasonal features of providing transport services and maintenance of means of production in proper technical condition. The article examines the difficulty of keeping primary records of the provision of services to trucking companies, in the context of the provision of goods transportation services. The lack of a unified regulatory and legal approach to the requirements for filling out primary documents causes disputes in the accounting processes of the supplier and consumer of ATP services. The next aspect to which attention is drawn is the dispute between the technical necessity of updating the rolling stock and the lack of ways to accelerate the formation of sources of funding for renewal reserves.

Some issues of harmonization of tax and labor legislation in the context of public and private law

The article is devoted to the study of some issues of harmonization of tax and labor legislation in the context of public and private law. It has been established that the payment of taxes is a subject of regulation of tax law, and the requirements established by tax legislation are necessary for the obligation to pay taxes to arise.&#x0D; It was concluded that the spheres of tax and labor law intersect at the point of payment to employees. From the point of view of labor legislation, payment of labor is the right and guarantee of every employee (private legal aspect), and from the point of view of tax legislation, it is a source of income of a natural person subject to taxation (public legal aspect).&#x0D; Taxes charged on the wages of individuals in the sense of the tax and labor legislation are called “deductions”. It is advisable to amend Art. 110 of the Labor Code of Ukraine and Art. 30 of the Law of Ukraine “On Wages”, expressing them as follows: “At each payment of wages, the employer must notify the employee of the following data related to the period for which the payment of labor is made: a) the total amount of wages with a breakdown by types of payments ; b) amounts and grounds for deductions from wages; c) the amount of wages to be paid; d) amounts of tax deductions”.&#x0D; Attention is focused on such an aspect of tax and labor legislation as the status of the employer and its role in tax and labor relations. It was concluded that the key characteristics of the employer’s status in the tax aspect will be: a) the presence of an obligation to pay wages as a prerequisite for the obligation to administer the tax; b) the legality of the relationship between the entity performing the work and the entity paying wages (externally expressed in the obligation to conclude an employment or civil law contract). It is noted that the key features of the employer’s status in labor legislation will be: a) positioning as a party to an employment contract; b) the presence of an obligation to pay wages and ensure proper working conditions.

Dysfunctional family as a determinant of mercenary and forcible crimes of minors and young people

The article is devoted to the problems of criminological determination of mercenary and forcible crimes of minors and youth. The author defines dysfunctional family as one of the main determinants of mercenary and forcible crimes among minors and youth.&#x0D; The article characterizes the influence of adversity in the family, defects of family upbringing on the formation of a young personality.&#x0D; The author analyzes modern criminological concepts regarding family problems as determinants of juvenile and youth crime and notes that the aggravation of problems of family dysfunction against the general background of poverty and constant need, moral and social degradation that occurs in families, lead to extremely negative consequences.&#x0D; It is a well-known fact that the intensity of crime is particularly high among minors and young people from disadvantaged families. Basically, drunkenness, drug addiction, and prostitution thrive in these families, there are no moral foundations, elementary culture. All this affects the formation of the character of the individual, because the influence of the family, upbringing is of decisive importance.&#x0D; Negative socio-economic and political processes significantly weakened the importance of the family institution as a social institution that protected children and youth. The majority of juvenile criminals were brought up in dysfunctional, single-parent families with a critical financial situation, and were witnesses of scandals and fights.&#x0D; Parents who lead an immoral lifestyle, are indifferent to the interests of the child, are unable to provide the proper conditions for the normal psychophysical development of the child, and the deterioration of the financial situation of families leads to the inaccessibility due to the increase in the prices of using the benefits of civilization and, combined with discomfort in the family, provokes minors spending more and more time outside.&#x0D; The article provides a criminological description of the modern aspects of family dysfunction, which are associated with military actions and the temporary occupation of large territories, and also complements the classification of dysfunctional families, which is developed today by criminological science.

Water quality assessment in relation to fish assemblage using multivariate analysis in Manasbal Lake, Kashmir

ABSTRACT Water is necessary for the survival of any living being on this planet and in today’s world, it has become a limiting resource because of anthropogenic pressures like pollution, climate change, overexploitation etc. To maintain the water bodies in a proper condition from time to time, analysis of the water quality is highly recommended. So an attempt was made to have a detailed analysis of the surface water quality of the deepest freshwater lake in India, the Manasbal Lake, and to know the impact of these parameters on the distribution of fish fauna in the lake. The different physicochemical aspects of the lake were analyzed spatially and seasonally for a period of two years. The results from the principal component analysis revealed that the main parameters affecting the water quality in Manasbal Lake include total dissolved solids, electrical conductivity, total phosphorus, nitrates, pH, free carbon dioxide, dissolved oxygen and alkalinity. The study also reported a similarity in physicochemical aspects as well as the type of fish fauna from Sites-I and Site-III. Overall the physicochemical aspects were seen to impact the distribution of different fish species in the lake as reported from the canonical correspondence and cluster analysis. pH and nitrates were found to impact the distribution of fish species like Cyprinus carpio, Carassius carassius, Schizothorax niger and S. curvifrons whereas the main parameters affecting the distribution of Pethia conchonius, Crossocheilus diplochilus and Gambusia holbrooki were dissolved oxygen, free carbon dioxide and water temperature. The overall water quality of the lake is good for the proper growth and survival of the fish species and also for domestic purposes. This study will be very helpful to form baseline information for future research, as very scanty information is available related to such work.

Effects of La-Co Co-Substitution on the Structural and Magnetic Properties of SrM Hexaferrites Prepared by Solid-State Reaction

The effects of La-Co co-substitution on the structural and magnetic properties of strontium M-type hexaferrites (SrM) were carefully investigated for the Sr1−xLaxFe12−xCoxO19 (0.0 ≤ x ≤ 0.3) polycrystalline samples prepared by solid-state reaction in air. Without the use of sintering additives, La-Co co-substituted SrM single phases could be obtained from polycrystalline bulk samples by employing proper processing conditions. The lattice parameter a initially increases with increasing x from 0.0 to 0.1 but gradually decreases with increasing x to 0.20, and then remains almost unaltered up to x = 0.3; the lattice parameter c monotonously decreases with increasing x from 0.0 to 0.25, but it turns to an increase when x = 0.3. The reduction in c/a ratios and Vcell values with increasing x up to x = 0.25 are obviously attributable to the decreasing size effect resulting from La3+ substitution at the Sr2+ site, which surpasses the increasing size effect due to Co2+ and Fe2+ occupancy at the Fe3+ site. Meanwhile, with increasing x from 0.0 to 0.3, while the saturation magnetization (MS) continuously decreases from 75.90 to 72.07 emu/g, the magnetic anisotropy field (Ha) increases from 20.1 to 24.7 kOe, leading to an increase in the intrinsic coercivity (Hci) from 2.68 to 3.99 kOe. The gradual increase in Ha with x, probably caused by a gradual decrease in the crystallographic symmetry, is inversely proportional to the variation in the c/a ratios up to x = 0.25 as usual except when x = 0.3, of which deviation needs further study.

Performance of a multi-stage hybrid wetland system for the treatment of a dairy effluent

This work evaluates the performance of a pilot-scale hybrid wetland (HW) system for the effluent treatment from a dairy industry, located in Santa Fe (Argentina). The system consists of three stages in a serial configuration: vertical flow (S1) – free water surface (S2) – horizontal subsurface flow (S3) wetlands. The HW was operated during nine months. Wastewater, plant and sediment samples were taken from the system. Main pollutant concentrations were determined in wastewater. N and P concentrations were determined in plant tissues and in sediments to evaluate the accumulation in the system. The mean COD, BOD, TN, and TP removals in the whole HW system were 91 %, 94 %, 76 %, and 64 %, respectively. Organic matter concentration decreased due to aerobic and anaerobic degradation processes in all stages, mainly in S2. S1 presented proper conditions for nitrogen compounds interconversions by ammonification and nitrification processes. The highest total nitrogen removal was achieved in S2. Plant uptake contributed significantly to nutrient retention in S2 and S3. In S2, sediment did not participate significantly in nutrient retention. Phosphorus removal showed the lowest system efficiency. The obtained results determine the system performance under site-specific conditions, which contributes to the scaling process of the treatment wetland.

Tailoring interfacial adhesion and mechanical performance of biocomposites based on poly(lactic acid)/rice straw by using maleic anhydride through reactive extrusion process

AbstractIn this study, all‐green biocomposites based on poly(lactic acid) (PLA)/rice straw (RS) as an agricultural waste were prepared, and the physical, structural, and mechanical properties of these biocomposites were enhanced by alkali‐pulping of RS and chemical grafting of PLA onto the lignocellulosic fiber. The reactive compatibilizers of maleic anhydride grafted PLA (PLA‐g‐MA) were obtained through a reactive extrusion process at different processing conditions. The probable chemical reactions between the functional groups of PLA‐g‐MA with hydroxyl groups of RS pulp as well as the end groups of PLA chains can effectively improve the interfacial adhesion between the filler and matrix. However, the findings confirm the great importance of PLA‐g‐MA chemical structure in controlling the biocomposite performance. By choosing proper processing conditions for preparing PLA‐g‐MA and incorporating this compatibilizer into the PLA/treated RS biocomposite, Young modulus, tensile strength, impact strength, and tensile toughness of the PLA/RS biocomposite increased by 101%, 156%, 96%, and 327%, respectively.

Optimal Learning Output Tracking Control: A Model-Free Policy Optimization Method With Convergence Analysis.

Optimal learning output tracking control (OLOTC) in a model-free manner has received increasing attention in both the intelligent control and the reinforcement learning (RL) communities. Although the model-free tracking control has been achieved via off-policy learning and Q -learning, another popular RL idea of direct policy learning, with its easy-to-implement feature, is still rarely considered. To fill this gap, this article aims to develop a novel model-free policy optimization (PO) algorithm to achieve the OLOTC for unknown linear discrete-time (DT) systems. The iterative control policy is parameterized to directly improve the discounted value function of the augmented system via the gradient-based method. To implement this algorithm in a model-free manner, a model-free two-point policy gradient (PG) algorithm is designed to approximate the gradient of discounted value function by virtue of the sampled states and the reference trajectories. The global convergence of model-free PO algorithm to the optimal value function is demonstrated with the sufficient quantity of samples and proper conditions. Finally, numerical simulation results are provided to validate the effectiveness of the present method.