rss_2.0Applied Mathematics and Nonlinear Sciences FeedSciendo RSS Feed for Applied Mathematics and Nonlinear Sciences Mathematics and Nonlinear Sciences 's Cover of B-theory for numerical method of functional differential equations in the analysis of fair value in financial accounting<abstract> <title style='display:none'>Abstract</title> <p>Financial accounting, the use of historical cost of assets, is an important basic principle of historical cost, which is to become the dominant mode of accounting measurement. Background analyses, as well as the historical cost basis and fair value, result from the development of the theory of historical cost and fair value. Historical cost and fair value measurement model has its own advantages and problems. Based on this background, the paper applies B-theoretical numerical methods to differential equations pan function analysis for calculation of fair value accounting and conducts theoretical analysis of their stability and convergence. Finally, numerical examples with different methods of calculating an approximate solution are provided and a comparison of the various methods is done based on the results obtained. The results show fair value accounting better meets the needs of the target –decision-making availability, compared to historical cost or fair value, more in line with the requirements of Accounting Information Quality.</p> </abstract>ARTICLE2021-11-22T00:00:00.000+00:00Topological optimisation technology of gravity dam section structure based on ANSYS partial differential equation operation<abstract> <title style='display:none'>Abstract</title> <p>This paper uses the finite element method to explain the specific nature of numerical instability such as network dependence in the topology optimisation of engineering structures from the perspective of partial differential equations. Gaussian function filtering method reduces the global impact of local extremum on topology optimisation. Finally, the method is introduced into the topology optimisation of concrete gravity dams in hydraulic engineering, and the topology optimisation program is developed in conjunction with ANSYS software language to achieve the topology optimisation of building structures in hydraulic engineering from a technical perspective.</p> </abstract>ARTICLE2021-11-22T00:00:00.000+00:00Modeling the pathway of breast cancer in the Middle East<abstract> <title style='display:none'>Abstract</title> <p>This paper proposed an approach for the identification of mutation mechanisms of breast cancer in women in four member countries of the Middle East Cancer Consortium i.e. Egypt, Jordan, Cyprus and Israel (Arabs and Jews). We set up multistage models including both gene mutation and the clonal expansion of intermediate cells. We fit the data-set related to the incidence of female breast cancer in the four member countries. Our simulation results show that the maximum number of driver mutations of breast epithelium stem cells of Egyptian women is 13, whereas there are 14 driver mutations in the genome of stem cells of female patients in Jordan, Cyprus and Israel (Arabs and Jews). In addition, the 3, 10, 5, 5 and 4 stage models are the optimal ones for the tumorigenesis of females in Egypt, Jordan, Cyprus, Israel (Arabs) and Israel (Jews), respectively. The genomic instability is caused by first three driver mutations.</p> </abstract>ARTICLE2021-11-19T00:00:00.000+00:00The influence of financial constraint on peer influence of cash dividend decision – Evidence from China<abstract> <title style='display:none'>Abstract</title> <p>We analyse the influence of financial constraints on the peer effect of dividend decision in China by employing the Carhart four-factor model to construct instrument variables of peer influence. We find that (1) the decision of whether to pay cash dividends (DIV) is significantly influenced by peers, and the estimated marginal effect is 0.53%, but the question of whether to pay catering dividends and the extent of such dividends to be paid are not significantly affected by peers. (2) Under the semi-mandatory dividend policy in China, financial constraints will significantly reduce peer influence on the dividend level. (3) Peer influence on DIV is more pronounced among companies that face high financial constraints.</p> </abstract>ARTICLE2021-11-12T00:00:00.000+00:00Design of intelligent real-time safety supervision system for pension institutions based on LBS<abstract> <title style='display:none'>Abstract</title> <p>With the gradual ageing of China's population and the single-child family system becoming the backbone of society, the traditional pension way of relying on children at home not only does not guarantee the quality of life of the elderly, but also brings great pressure to the work and life of young people. The way of relying on pension institutions to provide for the aged is becoming gradually accepted by society. In elderly care institutions, safety supervision systems provide an important link to protect the safety of the elderly, thereby ensuring accurate analysis and supervision of the elderly persons’ activity routes and activity rules, and thus allowing an early warning to be given in a dangerous situation. The system realises the real-time positioning and monitoring of the elderly activity track, and can give early warning and timely rescue to the elderly who enter into any dangerous area. The system includes a server monitoring program and mobile APP; ASP.NET Technology to develop the monitoring program; SQL Server 2012 for data storage; and model view controller (MVC) architecture for the APP to improve the efficiency of program development. The supervision program comprises the functions of personnel information management, fence management, positioning service, activity track record, danger warning and rapid rescue. The APP deploys the location-based service (LBS) technology of Android, uses Baidu map API to obtain location information and draw activity track, and stores the information in the mobile phone SQLite database. The APP is installed on mobile phones, bracelets and other devices carried by the elderly and staff, which can record the current position of the person in real-time and simultaneously transmit it to the computer. When the elderly enter into a dangerous area, the system can quickly select the nearest staff and inform them for rescue, so as to ensure the safety of the elderly. After simulation test, the system has now reached the preset function.</p> </abstract>ARTICLE2021-11-12T00:00:00.000+00:00Application of RBF model in the relationship between organisational innovation and organisational performance of HEM enterprises<abstract> <title style='display:none'>Abstract</title> <p>With the increasing dynamics of the environment, the organisational innovation of high-end equipment manufacturing (HEM) enterprises has attracted more attention. This paper introduces a radial basis function (RBF) neural network to establish a model of the effect of organisational innovation on organisational performance (OP). Organisational innovation includes five dimensions: strategic innovation, structural innovation, cultural innovation, institutional innovation and process innovation. Through the modelling results, we know that all dimensions of organisational innovation have an effect on performance. According to the degree of impact, they are strategic innovation, structural innovation, process innovation, cultural innovation and institutional innovation.</p> </abstract>ARTICLE2021-11-12T00:00:00.000+00:00Study of statistical damage constitutive model of layered composite rock under triaxial compression<abstract> <title style='display:none'>Abstract</title> <p>The layered composite rock was subjected to triaxial compression tests under constant confining pressure and the stress–strain curves under different confining pressures were obtained. Based on the continuous damage theory and statistical strength theory, it is assumed that the strength of rock microelements obeys Weibull distribution by taking the defects such as random micro-cracks in the rock into account. The statistical constitutive model of layered composite rock with damage correction is established by taking the axial strain of rock as a random distribution variable of microelement strength. The model parameters were determined by the curve fitting method and referring to some test parameters. By comparing the experimental data and the constitutive model curve, the rationality and feasibility of the model are verified.</p> </abstract>ARTICLE2021-11-12T00:00:00.000+00:00Research on the effects of ferric salt added into aeration tank for phosphorus removal on biochemical system<abstract><title style='display:none'>Abstract</title><p>In this paper, two iron salts, ferrous chloride (FeCl<sub>2</sub>) and ferric chloride (FeCl<sub>3</sub>), are directly added into an aeration tank for phosphorus removal, and their effects on the biochemical system are studied; the water quality parameters such as pH and alkalinity are also investigated. The extent of influence of the added iron salts on the pH and alkalinity of aerated solutions is demonstrated to be FeCl<sub>3</sub> &gt; FeCl<sub>2</sub>. When the dosage of iron ions is 20 mg/L, the decrease in pH and alkalinity caused by FeCl<sub>3</sub> is 0.5 and 65 mg/L, which is higher than FeCl<sub>2</sub> by 2% and 26%. The initial phosphorus removal effect of FeCl<sub>2</sub> is worse than that of FeCl<sub>3</sub>, but after continued aeration and oxidation, the phosphorus removal effect of FeCl<sub>2</sub> can be improved; however, the final phosphorus removal effect is basically the same as that of FeCl<sub>3</sub> added directly. The results show that FeCl<sub>2</sub> is preferred when iron salt is added directly into the aeration tank to remove phosphorus. The proposed scheme can reduce the effect of iron salts on the alkalinity of the biochemical system on the premise of ensuring the phosphorus removal effect of the system, and is conducive to ensuring the stable operation of the biochemical system.</p></abstract>ARTICLE2021-11-10T00:00:00.000+00:00Evaluation of Factors Influencing Energy Consumption in Water Injection System Based on Entropy Weight-Grey Correlation Method<abstract><title style='display:none'>Abstract</title><p>In order to determine the importance of influencing factors of energy consumption in oilfield water injection systems, the distribution of energy loss in the water injection system was analyzed, the factors affecting the energy consumption of the water injection system were determined, and an evaluation index system for the energy consumption of the water injection system was established. This indicator system covers all links and all energy loss nodes of the energy loss of the water injection system, thereby an evaluation model for influencing factors of energy consumption in water injection system based on entropy weight - grey correlation method was built. Use the entropy weight method to get the ranking of the importance of energy consumption indicators; use the gray correlation method to determine the correlation between each water injection system and energy consumption factors. The application results show that the entropy weight-grey correlation method proposed in this paper can effectively obtain the importance of the energy consumption factors of the oilfield water injection system, and provide scientific guidance for the daily management and targeted optimization of the water injection system.</p></abstract>ARTICLE2021-11-10T00:00:00.000+00:00Research on Simufact simulation data processing system based on QT and MySQL<abstract><title style='display:none'>Abstract</title><p>As the simulation data of the Simufact Additive software was inconvenient to process, QT and structured query language (MySQL) database were used to develop the database to solve the processing of the simulation data. The GUI interface that has the functions of processing and saving the simulation data was designed. The interface developed by QT was used to start the Simufact Additive software, connect to the MySQL database and save the simulation data. The results showed that using MySQL as the management of simulation data has achieved better results in the post-processing of simulation data.</p></abstract>ARTICLE2021-11-10T00:00:00.000+00:00Task design and analysis of English reading teaching from the perspective of Activity Theory<abstract><title style='display:none'>Abstract</title><p>From the perspective of Activity Theory (AT), this paper analyses the author's task-based teaching practice of English journal and newspaper reading and adopts a qualitative study approach to examine the influence of task design on students’ reading competence development. The tasks are designed mainly in the form of group work, highlighting the students as the subject and the regulating role of mediating artefacts, community, rules and division of labour. The data of students’ reflection journals, reading reports and group work records show that after the training of a series of tasks for eight units, students’ ability in reading English newspapers has been greatly developed, and they are also more confident in speaking and writing.</p></abstract>ARTICLE2021-11-10T00:00:00.000+00:00Multi-level cache management of quantitative trading platform<abstract><title style='display:none'>Abstract</title><p>With the rapid development of quantitative trading business in the field of investment, quantitative trading platform is becoming an important tool for numerous investing users to participate in quantitative trading. In using the platform, return time of backtesting historical data is a key factor that influences user experience. In the aspect of optimising data access time, cache management is a critical link. Research work on cache management has achieved many referential results. However, quantitative trading platform has its special demands. (1) Data access of users has overlapping characteristics for time-series data. (2) This platform uses a wide variety of caching devices with heterogeneous performance. To address the above problems, a cache management approach adapting quantitative trading platform is proposed. It not only merges the overlapping data in the cache to save space but also places data into multi-level caching devices driven by user experience. Our extensive experiments demonstrate that the proposed approach could improve user experience up to &gt;50% compared with the benchmark algorithms.</p></abstract>ARTICLE2021-11-10T00:00:00.000+00:00Design and realisation of residential property management information system based on browser/server mode<abstract><title style='display:none'>Abstract</title><p>The data filling, mathematical calculations and statistical operations for property management are realised by a system development tool that adopts the browser/server (B/S) architecture, Java, as the development language and a framework that adopts Spring MVC mode; additionally, the MySQL database is used, the source code and database interaction process use the Mybatis framework and the front-end display uses the VUE.js framework.. Functional modules include the following elements: owner information, real estate information, engineering equipment, personnel management and lease management. The system has passed the functional test, if it has been in trial operation for 1 year in multiple residential communities and has the characteristics of simple operation, stable operation and strong scalability, among others.</p></abstract>ARTICLE2021-11-10T00:00:00.000+00:00Application of experience economy and recommendation algorithm in tourism reuse of industrial wasteland<abstract><title style='display:none'>Abstract</title><p>Industrial tourism is an important way for reuse of industrial wasteland. However, in China, reuse of industrial wasteland remain is in the exploratory practice stage, with problems such as lack of systematic planning, homogeneous strategies and inaccurate positioning of target customers. In this paper, we propose a method to reuse industrial wasteland by the combination of experience economy and recommendation algorithm. The industrial tourism product development direction is defined in the planning and design stage. The most relevant tourist-related features are extracted by establishing user profiles and experience economy-based questionnaires. The user-profile-based recommendation system generates a list of recommended tourist attractions. Finally, the recommendation-user-tag-project (R-UTP) algorithm is proposed and experimentally compared with UserkNN and ItemkNN algorithms. The R-UPT algorithm exhibits higher accuracy and has obvious advantages on recall ratio and novelty.</p></abstract>ARTICLE2021-10-29T00:00:00.000+00:00Detection of pig based on improved RESNET model in natural scene<abstract><title style='display:none'>Abstract</title><p>The behaviours of the pig are often closely related to their health. Pig recognition is very important for pig behaviour analysis and digital breeding. Currently, the early signs and abnormal behaviours of sick pigs in breeding farms are mainly completed by human observation. However, visual inspection is labour intensive and time-consuming, and it suffers from the problems of individual experiences and varying environments. An improved ResNet model was proposed and applied to detect individual pigs in this study based on deep learning knowledge. The developed model captured the features of pigs applying across layer connections, and the ability of feature expression was improved by adding a new residual module. The number of layers was reduced to minimise the net complexity. Generally, the ResNet frame was developed by reducing the number of convolution layers, constructing different types of the residual module and adding the number of convolution kernels. The training accuracy and testing accuracy reached 98.2% and 96.4%, respectively, when using the improved model. The experiment results showed that the method proposed in this paper for checking living situations and disease prevention of commercial pigs in pig farms is potential.</p></abstract>ARTICLE2021-10-30T00:00:00.000+00:00Application and risk assessment of the energy performance contracting model in energy conservation of public buildings<abstract><title style='display:none'>Abstract</title><p>With the development of China’s economy, the total area of public buildings is continuously increasing, and higher energy consumption in this field is gradually becoming prominent. In order to improve this situation, China has been working on energy savings in public buildings since 2007. Energy-saving models and energy policies have become the lifeline of sustainable energy development. Furthermore, the energy-saving renovation of public buildings, as a key project, has attracted the attention of governments and scholars. In the report of the 18th National Congress of the Communist Party of China, energy conservation and emission reduction were given a prominent place. The 13th Five-Year Plan (2016–2020) aims to further promote China’s energy conservation work. On the one hand, administrative and legal measures should be taken to strengthen energy conservation. On the other hand, it is necessary to speed up the establishment of a long-term market-based energy-saving mechanism and to rely on market forces to remove various obstacles to energy conservation. Energy performance contracting (EPC) is a practical and effective method applied in energy conservation. Therefore, this research aims to put forward a relatively perfect energy-saving risk management system for EPC public building projects based on analysis of the factors influencing investment risks of energy-saving projects and the use of quantifiable risk management models, thus providing some theoretical support for the risk decision-making of energy service companies.</p></abstract>ARTICLE2021-10-18T00:00:00.000+00:00Health status diagnosis of the bridges based on multi-fractal de-trend fluctuation analysis<abstract><title style='display:none'>Abstract</title><p>More and more attention has been paid to the research on bridge structure health monitoring and state analysis technology, especially the theory and technology of time series analysis based on bridge deflection information. In this paper, multi-fractal de-trend analysis (MF-DFA) is used to analysis the deflection information of bridges. The deformation characteristic parameters can be obtained by the multi-fractal de-trend fluctuation method, which can effectively identify the deformation degree of bridges. The analysis result shows that the multi-fractal de-trend fluctuation analysis method provides the theoretical basis and implementation approach for the health monitoring of the bridge.</p></abstract>ARTICLE2021-10-19T00:00:00.000+00:00Informationisation construction of pharmacology continuing education – a case study on big data analysis of the aetiology of rheumatoid arthritis<abstract><title style='display:none'>Abstract</title><p>The goal of promoting Information and Communication Technology of continuing education in colleges and universities is to standardise the process of teaching and scientific research, make the process more scientific and refined, so as to facilitate and improve the quality of teaching and scientific research, as well as professional disciplines. Rheumatoid arthritis is a disease with chronic, symmetrical and non-specific inflammation of the synovium of the joints (subcutaneous nodules, pericarditis, pleurisy, pneumonia, peripheral neuritis etc.) as the main clinical manifestations. The analysis of pharmacological big data information helps to understand its aetiology and pathological mechanism, which is complex and involves various pathogenic factors.</p></abstract>ARTICLE2021-10-18T00:00:00.000+00:00Health monitoring of Bridges based on multifractal theory<abstract><title style='display:none'>Abstract</title><p>The multifractal theory is applied in an analysis of bridge disturbance signals with the aim of investigating their nonlinear characteristics, and then the recognisable fault features are extracted from them. By calculating the box dimension and correlation dimension of the bridge disturbance signal, the dimensional characteristics of the disturbance data are analysed to distinguish the health-state of the bridge. Finally, taking the bridge disturbance data as an example, and by using the multifractal spectrum analysis of the disturbance data, it is concluded that the multifractal method can accurately identify the fault state and realise the bridge health monitoring.</p></abstract>ARTICLE2021-10-19T00:00:00.000+00:00Sensitivity analysis of design parameters of envelope enclosure performance in the dry-hot and dry-cold areas<abstract><title style='display:none'>Abstract</title><p>In a bid to quantify the sensitivity of envelope enclosure’s design parameters in the dry-hot and dry-cold areas and to provide a reference for the local building performance design, this paper uses ANN modelling which combined with the improved Garson algorithm to calculate the connection weight sensitivity (CWS), the first-order sensitivity (RBD-S1 and DMIM-S1) and the global sensitivity (DMIM-delta) of the design parameters. These parameters were calculated by using different methods in SALib. Through the verification and analysis of the sensitive result, the applicability of the CWS and DMIM-delta was confirmed. Among the design parameters involved in this study, the sum of the sensitive values of S-D, S-N and S-A exceeds 60% in each performance label, and the sum of the sensitive values of WWR_S and WWR_N exceeds 20%. The performance design of envelope enclosure in this area requires applying reasonable shading components and appropriate optimisation of the North and South of WWR. After the sensitivity analysis process, the calculation efficiency of the model can be improved as far as possible without reducing the accuracy of the model in the later simplified calculation and multi-objective optimisation. The building performance simulation model has a high degree of non-linearity, and the interpretability of the model can be enhanced through the sensitivity analysis process. Although the internal calculation process is unknowable, the perception of the results caused by the input parameters is significantly enhanced.</p></abstract>ARTICLE2021-10-18T00:00:00.000+00:00en-us-1