Journal articles on the topic 'Home economics Mathematical models'

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1

Chen, Hong Jiang, and Yue Hai Wu. "Study of Material’s Creep Relaxation Capability." Applied Mechanics and Materials 121-126 (October 2011): 406–10. http://dx.doi.org/10.4028/www.scientific.net/amm.121-126.406.

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Creep relaxation is an important form of system failure, how to understand and analyze the effect of creep relaxation, to solve system failures and improve economic efficiency are of great significance. The paper describe researches of creep relaxation , mathematical models and theories at home and abroad in detail, and introduce the finite element method applied in this field. By comparing with the mathematical models, finite element Methods with test results, improving current mathematical models and utilizing finite element method is an important trend.
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Fadeeva, A. M. "Risk minimisation methods in shaping the optimal range of treadmills." Vestnik Universiteta, no. 11 (January 7, 2022): 149–56. http://dx.doi.org/10.26425/1816-4277-2021-11-149-156.

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The article presents a solution to the problem of integrating risk minimisation methods in the process of forming the optimal range of treadmill models in a retail enterprise. The problem of multi-criteria optimisation was solved using the generalised criterion method. The formulated problem was therefore broken down into a number of specific tasks, each of which was solved by selecting specific methods. Risks were minimised by mathematical methods, taking into account the economic performance of the enterprise. Recommendations were also offered for customers wishing to purchase one of the treadmill models chosen from the analysis and the best option for ordering via the online shop with home delivery.
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Helander, Mary. "Visitation Access to U.S. Nursing Homes: An Analysis of Facility Locations, Ratings, and Disparities." Innovation in Aging 4, Supplement_1 (December 1, 2020): 114. http://dx.doi.org/10.1093/geroni/igaa057.375.

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Abstract Research findings suggest that family visits to nursing home residents are important for countering depression, increasing residents’ well-being and quality of life (Miller, 2019; Durkin et al., 2014), maintaining physical function (Shankar et al., 2017), and improving general health (Parmenter et al., 2012). Presence by family can directly impact a resident’s care quality, since family members may take a role in monitoring their older relative’s status (Miller, 2019). Unfortunately, regular family visits to nursing homes may be difficult, or impossible, due to challenges that include distance, travel time, lack of transportation, and cost (Fields et al., 2019) (Miller, 2019). These same challenges may translate to socio-economic barriers for families, eliminating long-term-care as an option for older relatives (Ferraro et al., 2017), (Angel and Berlinger, 2018). This paper considers the issue of nursing home visitation access and examines related disparities through spatial and demographic analysis of 15,000+ US facilities monitored by the Centers for Medicare the Medicaid Services. Mathematical models are used to analyze facility and population data, using access measures adapted from the geography discipline (Lou and Wang, 2003; Paez et al., 2019). Analysis explores whether higher rated nursing homes are more likely to be closer to affluent populations, and whether socioeconomic status is a significant factor in overall access. Analysis reveals patterns of access disparity with respect to nursing home ratings and geographies. For example, proximity to higher rated facilities increases monotonically with median household income. Specific policy recommendations are discussed.
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HORIASHCHENKO, S., Yu KRAVCHIK, and O. PIDGORNYI. "MATHEMATICAL MODEL OF HEAT SUPPLY INSTALLATION AS AN OBJECT OF ECONOMIC EFFICIENCY AND AUTOMATION." Computer Systems and Information Technologies 2, no. 2 (November 3, 2020): 69–74. http://dx.doi.org/10.31891/csit-2020-2-12.

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Solar energy is widely used in cases where the inaccessibility of other energy sources in combination with a sufficient amount of solar radiation justifies it economically. With the help of a system of solar collectors, you can significantly reduce energy costs for hot water supply and heating. In addition, the use of this system helps reduce CO2 emissions. The potential of solar energy in Ukraine is quite high. According to the climatic conditions of our region, solar activity is slightly lower than in the southern regions, so the use of flat solar collectors, which use both direct and scattered solar radiation, is effective for our region. The use of heat collectors in the home for water supply and heating of small areas is economically feasible, as it does not require significant costs. Heat supply plants using non-traditional energy sources are promising in terms of fuel savings and reduction of harmful effects on the environment. To increase the service life, economical use of heat and fuel, efficient operation of the installation requires the use of automation. The article considers the development of a mathematical model of a heat supply installation based on a solar collector. For automated control of the heat supply installation, it is necessary to know the properties of this installation as a whole and its individual elements. For this purpose, models of individual elements of the heat supply installation in a linear approximation are considered. The solar collector is conditionally divided into two parts. The model of the ground heat exchanger is developed. Also e battery models and consumer premises. The given matrices of elements of installation of heat supply are united in the uniform system of matrices. The obtained results allow estimating in advance efficiency of their use and economic attractiveness.
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Xu, Lu, and Weijie Chen. "Construction and Simulation of Economic Statistics Measurement Model Based on Time Series Analysis and Forecast." Complexity 2021 (June 23, 2021): 1–9. http://dx.doi.org/10.1155/2021/5963516.

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Time series follow the basic principles of mathematical statistics and can provide a set of scientifically based dynamic data processing methods. Using this method, various types of data can be approximated by corresponding mathematical models, and then, the internal structure and complex characteristics of the data can be understood essentially, so as to achieve the purpose of predicting its development trend. This paper mainly studies the combined forecasting model based on the time series model and its application. First, the application prospects and research status of the combined forecasting model, the source of time series analysis, and the status of research development at home and abroad are given, and the purpose and significance of the research topic and the research content are summarized. Then, the paper gives the relevant theories about the ARIMA model and the basic principles of model recognition and explains the method of time series smoothing. Finally, the paper uses the ARIMA model to identify and fit the time series data and then the gray forecast model to fit and predict the time series data. Finally, by assigning reasonable weights and combining these methods, a combined forecasting model is proposed and carried out.
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Simmons, Cody R., Joshua R. Arment, Kody M. Powell, and John D. Hedengren. "Proactive Energy Optimization in Residential Buildings with Weather and Market Forecasts." Processes 7, no. 12 (December 5, 2019): 929. http://dx.doi.org/10.3390/pr7120929.

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This work explores the development of a home energy management system (HEMS) that uses weather and market forecasts to optimize the usage of home appliances and to manage battery usage and solar power production. A Moving Horizon Estimation (MHE) application is used to find the unknown home model parameters. These parameters are then updated in a Model Predictive Controller (MPC) which optimizes and balances competing comfort and economic objectives. Combining MHE and MPC applications alleviates model complexity commonly seen in HEMS by using a lumped parameter model that is adapted to fit a high-fidelity model. Heating, ventilation, and air conditioning (HVAC) on/off behaviors are simulated by using Mathematical Program with Complementarity Constraints (MPCCs) and solved in near real time with a non-linear solver. Removing HVAC on/off as a discrete variable and replacing it with an MPCC reduces solve time. The results of this work indicate that energy management optimization significantly decreases energy costs and balances energy usage more effectively throughout the day. A case study for Phoenix, Arizona shows an energy reduction of 21% and a cost reduction of 40%. This simulated home contributes less to the grid peak load and therefore improves grid stability and reduces the amplitude of load-following cycles for utilities. The case study combines renewable energy, energy storage, forecasts, cooling system, variable rate electricity plan and a multi-objective function allowing for a complete home energy optimization assessment. There remain several challenges, including improved forecast models, improved computational performance to allow the algorithms to run in real time, and mixed empirical/physics-based machine-learning methods to guide the model structure.
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Çetin, Eyüp, Serap Kiremitci, and Barış Kiremitci. "Developing Optimal Policies to Fight Pandemics and COVID-19 Combat in the United States." European Journal of Pure and Applied Mathematics 13, no. 2 (April 29, 2020): 369–89. http://dx.doi.org/10.29020/nybg.ejpam.v13i2.3700.

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The world has faced many outbreaks and pandemics with hundreds of millions of deaths throughout its history. Those epidemics are global health concerns and as well as serious economic issues. There is certain need to allocate scarce sources efficiently to fight such epidemics in both personal and global dimensions. Here we develop and propose two optimization models to maximize the total protection from any epidemic, pandemic or bioterror attacks; the first one is personal protection model or protocol and the other one is mass protection model that is inspired by the well-known weapon-target assignment problem of operations research. These efforts are optimal allocation of scarce medical and economic resources to save millions of lives- gift of life. We implement our general mathematical programming models with real-world data to fight the coronavirus pandemic for a person and the United States. Our personal protection protocol provides 99.99% protection from COVID-19 for an American through personal strategies when the mass protection model supplies 96.961% protection on average from coronavirus pandemic for the United States through across country policies. The mass protection model which recommends general policy frame for health care policy makers could be applied for any epidemic at any level from county to city, to state and country as well as in global scale. The mathematical relation between the personal protection protocol and the mass protection model also highlights the fact of unus pro omnibus, omnes pro uno (one for all, all for one) for fighting epidemics- particularly the moving enemy, novel coronavirus which is double invisible due to its viral nature and the availability of the high level of asymptomatic cases. Recognize the enemy, as protecting yourself means protecting people, love life, follow the rules and stay at home. That is the greatest ever social impact.
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Zissis, Dimitris, Emel Aktas, and Michael Bourlakis. "Collaboration in urban distribution of online grocery orders." International Journal of Logistics Management 29, no. 4 (November 12, 2018): 1196–214. http://dx.doi.org/10.1108/ijlm-11-2017-0303.

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Purpose Population growth, urbanisation and the increased use of online shopping are some of the key challenges affecting the traditional logistics model. The purpose of this paper is to focus on the distribution of grocery products ordered online and the subsequent home delivery and click and collect services offered by online retailers to fulfil these orders. These services are unsustainable due to increased operational costs, carbon emissions, traffic and noise. The main objective of the research is to propose sustainable logistics models to reduce economic, environmental and social costs whilst maintaining service levels. Design/methodology/approach The authors have a mixed methodology based on simulation and mathematical modelling to evaluate the proposed shared logistics model using: primary data from a major UK retailer, secondary data from online retailers and primary data from a consumer survey on preferences for receiving groceries purchased online. Integration of these three data sets serves as input to vehicle routing models that reveal the benefits from collaboration by solving individual distribution problems of two retailers first, followed by the joint distribution problem under single decision maker assumption. Findings The benefits from collaboration could be more than 10 per cent in the distance travelled and 16 per cent in the time required to deliver the orders when two online grocery retailers collaborate in distribution activities. Originality/value The collaborative model developed for the online grocery market incentivises retailers to switch from current unsustainable logistics models to the proposed collaborative models.
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Riaz, Muhammad, Sadiq Ahmad, Irshad Hussain, Muhammad Naeem, and Lucian Mihet-Popa. "Probabilistic Optimization Techniques in Smart Power System." Energies 15, no. 3 (January 24, 2022): 825. http://dx.doi.org/10.3390/en15030825.

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Uncertainties are the most significant challenges in the smart power system, necessitating the use of precise techniques to deal with them properly. Such problems could be effectively solved using a probabilistic optimization strategy. It is further divided into stochastic, robust, distributionally robust, and chance-constrained optimizations. The topics of probabilistic optimization in smart power systems are covered in this review paper. In order to account for uncertainty in optimization processes, stochastic optimization is essential. Robust optimization is the most advanced approach to optimize a system under uncertainty, in which a deterministic, set-based uncertainty model is used instead of a stochastic one. The computational complexity of stochastic programming and the conservativeness of robust optimization are both reduced by distributionally robust optimization.Chance constrained algorithms help in solving the constraints optimization problems, where finite probability get violated. This review paper discusses microgrid and home energy management, demand-side management, unit commitment, microgrid integration, and economic dispatch as examples of applications of these techniques in smart power systems. Probabilistic mathematical models of different scenarios, for which deterministic approaches have been used in the literature, are also presented. Future research directions in a variety of smart power system domains are also presented.
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Pham, Hoang. "Predictive Modeling on the Number of Covid-19 Death Toll in the United States Considering the Effects of Coronavirus-Related Changes and Covid-19 Recovered Cases." International Journal of Mathematical, Engineering and Management Sciences 5, no. 6 (December 1, 2020): 1140–55. http://dx.doi.org/10.33889/ijmems.2020.5.6.087.

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COVID-19 is caused by a coronavirus called SARS-CoV-2. Many countries around the world implemented their own policies and restrictions designed to limit the spread of Covid-19 in recent months. Businesses and schools transitioned into working and learning remotely. In the United States, many states were under strict orders to stay home at least in the month of April. In recent weeks, there are some significant changes related restrictions include social-distancing, reopening states, and staying-at-home orders. The United States surpassed 2 million coronavirus cases on Monday, June 15, 2020 less than five months after the first case was confirmed in the country. The virus has killed at least 115,000 people in the United States as of Monday, June 15, 2020, according to data from Johns Hopkins University. With the recent easing of coronavirus-related restrictions and changes on business and social activity such as stay-at-home, social distancing since late May 2020 hoping to restore economic and business activities, new Covid-19 outbreaks are on the rise in many states across the country. Some researchers expressed concern that the process of easing restrictions and relaxing stay-at-home orders too soon could quickly surge the number of infected Covid-19 cases as well as the death toll in the United States. Some of these increases, however, could be due to more testing sites in the communities while others may be are the results of easing restrictions due to recent reopening and changed policies, though the number of daily death toll does not appear to be going down in recent days due to Covid-19 in the U.S. This raises the challenging question: • How can policy decision-makers and community leaders make the decision to implement public policies and restrictions and keep or lift staying-at-home orders of ongoing Covid-19 pandemic for their communities in a scientific way? In this study, we aim to develop models addressing the effects of recent Covid-19 related changes in the communities such as reopening states, practicing social-distancing, and staying-at-home orders. Our models account for the fact that changes to these policies which can lead to a surge of coronavirus cases and deaths, especially in the United States. Specifically, in this paper we develop a novel generalized mathematical model and several explicit models considering the effects of recent reopening states, staying-at-home orders and social-distancing practice of different communities along with a set of selected indicators such as the total number of coronavirus recovered and new cases that can estimate the daily death toll and total number of deaths in the United States related to Covid-19 virus. We compare the modeling results among the developed models based on several existing criteria. The model also can be used to predict the number of death toll in Italy and the United Kingdom (UK). The results show very encouraging predictability for the proposed models in this study. The model predicts that 128,500 to 140,100 people in the United States will have died of Covid-19 by July 4, 2020. The model also predicts that between 137,900 and 154,000 people will have died of Covid-19 by July 31, and 148,500 to 169,700 will have died by the end of August 2020, as a result of the SARS-CoV-2 coronavirus that causes COVID-19 based on the Covid-19 death data available on June 13, 2020. The model also predicts that 34,900 to 37,200 people in Italy will have died of Covid-19 by July 4, and 36,900 to 40,400 people will have died by the end of August based on the data available on June 13, 2020. The model also predicts that between 43,500 and 46,700 people in the United Kingdom will have died of Covid-19 by July 4, and 48,700 to 51,900 people will have died by the end of August, as a result of the SARS-CoV-2 coronavirus that causes COVID-19 based on the data available on June 13, 2020. The model can serve as a framework to help policy makers a scientific approach in quantifying decision-makings related to Covid-19 affairs.
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Sobolevska, M. B., D. V. Horobets, and S. A. Syrota. "Determination of the force characteristic of head car’s passive safety system – large road vehicle interaction in a collision." Technical mechanics 2021, no. 4 (December 7, 2021): 118–28. http://dx.doi.org/10.15407/itm2021.04.118.

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One of the priorities of the National Economic Strategy of Ukraine for the Period up to 2030 is the development of the transport sector, in particular railway vehicle renewal, the introduction of high-speed railway passenger transport, and railway traffic safety improvement. The home motor-car trains must be renewed in compliance with new home standards harmonized with European ones, among which one should mention the Ukrainian State Standard DSTU EN 15227, which specifies the passive safety of a passenger train in its emergency collisions with different obstacles. New car designs must provide not only effective up-to-date braking systems to prevent emergency collisions, but also passive safety systems with energy-absorbing devices. The main purpose of these devices is to reduce the longitudinal forces in the intercar connections and the car accelerations to an acceptable level for the three collision scenarios specified in the DSTU EN 15227. The Department of Statistical Dynamics and Multidimensional Mechanical Systems Dynamics, Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine, developed a passive protection concept for home high-speed passenger trains in emergency collisions by the DSTU EN 15227 scenarios, proposals on the passive protection of a motor-car train head car, and honeycomb designs of lower- and upper-level energy-absorbing devices (EAD 1 and UL EAD, respectively), which are integrated into the head car front part and serve to damp the major part of the impact energy in front collisions with obstacles. This paper considers DSTU EN 15227 Scenario 3: a collision of a reference motor-car train at a speed of 110 km/h at a railway crossing with a large 15 t road vehicle, which is simulated as a large-size deformable obstacle (LSDO). The aim of the paper is to determine the force characteristic of the interaction of energy-absorbing devices mounted on the head car front part with a large road vehicle in a collision to assess the compliance of the proposed passive protection with the normative requirements. Finite-element models were constructed to analyze the plastic deformation of the elements of the EAD 1 – LSDO, UL EAD – LSDO, and EAD 1 – UL EAD –LSDO systems in a collision with account for geometric and physical nonlinearities, steel dynamic hardening as a function of the impact speed, and varying contact interaction between the elements of the systems considered. The studies conducted made it possible to determine the force characteristics of energy-absorbing device – obstacle interaction and the total characteristic of the contact force between two lower-level devices and two upper-level ones as a function of the obstacle center of mass displacement in a collision. The proposed mathematical models and the calculated force characteristics may be used in the study of the dynamics of a reference motor-car train – large road vehicle collision with the aim to assess the compliance of the passive protection of the home head car under design with the DSTU EN 15227 requirements.
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Atchison, Christina, Leigh Robert Bowman, Charlotte Vrinten, Rozlyn Redd, Philippa Pristerà, Jeffrey Eaton, and Helen Ward. "Early perceptions and behavioural responses during the COVID-19 pandemic: a cross-sectional survey of UK adults." BMJ Open 11, no. 1 (January 2021): e043577. http://dx.doi.org/10.1136/bmjopen-2020-043577.

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ObjectiveTo examine risk perceptions and behavioural responses of the UK adult population during the early phase of the COVID-19 epidemic in the UK.DesignA cross-sectional survey.SettingConducted with a nationally representative sample of UK adults within 48 hours of the UK Government advising the public to stop non-essential contact with others and all unnecessary travel.Participants2108 adults living in the UK aged 18 years and over. Response rate was 84.3% (2108/2500). Data collected between 17 March and 18 March 2020.Main outcome measuresDescriptive statistics for all survey questions, including number of respondents and weighted percentages. Robust Poisson regression used to identify sociodemographic variation in: (1) adoption of social distancing measures, (2) ability to work from home, and (3) ability and (4) willingness to self-isolate.ResultsOverall, 1992 (94.2%) respondents reported at least one preventive measure: 85.8% washed their hands with soap more frequently; 56.5% avoided crowded areas and 54.5% avoided social events. Adoption of social distancing measures was higher in those aged over 70 years compared with younger adults aged 18–34 years (adjusted relative risk/aRR: 1.2; 95% CI: 1.1 to 1.5). Those with lowest household income were three times less likely to be able to work from home (aRR: 0.33; 95% CI: 0.24 to 0.45) and less likely to be able to self-isolate (aRR: 0.92; 95% CI: 0.88 to 0.96). Ability to self-isolate was also lower in black and minority ethnic groups (aRR: 0.89; 95% CI: 0.79 to 1.0). Willingness to self-isolate was high across all respondents.ConclusionsAbility to adopt and comply with certain non-pharmaceutical interventions (NPIs) is lower in the most economically disadvantaged in society. Governments must implement appropriate social and economic policies to mitigate this. By incorporating these differences in NPIs among socioeconomic subpopulations into mathematical models of COVID-19 transmission dynamics, our modelling of epidemic outcomes and response to COVID-19 can be improved.
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Michalek, Jeremy J., Panos Y. Papalambros, and Steven J. Skerlos. "A Study of Fuel Efficiency and Emission Policy Impact on Optimal Vehicle Design Decisions." Journal of Mechanical Design 126, no. 6 (November 1, 2004): 1062–70. http://dx.doi.org/10.1115/1.1804195.

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Recent environmental legislation, such as the European Union Directive on End-of-Life Vehicles and the Japanese Home Electric Appliances Recycling law, has had a major influence on product design from both an engineering and an economic perspective. This article presents a methodology for studying the effects of automobile fuel efficiency and emission policies on the long-term design decisions of profit-seeking automobile producers competing in an oligopoly market. Mathematical models of engineering performance, consumer demand, and manufacturing costs are developed for a specific market segment, and game theory is utilized to simulate competition among firms to predict design choices of producers at market equilibrium. Several policy scenarios are evaluated for the small car market, including corporate average fuel economy (CAFE) standards, carbon dioxide CO2 emissions taxes, and diesel technology quotas. The results indicate that leveraging CO2 taxes on producers for expected life cycle emissions yields diminishing returns on fuel efficiency improvement per regulatory dollar as the taxes increase, while CAFE standards achieve higher average fuel efficiency per regulatory dollar. Results also indicate that increasing penalties for violation of CAFE standards can result in lower cost to producers and consumers because of the effects of competition, and penalties based on fuel economy or emissions alone may not be sufficient incentive for producers to bring more costly alternative fuel vehicles into the market. The ability to compare regulations and achieve realistic trends suggests that including engineering design and performance considerations in policy analysis can yield useful predictive insight into the impact of government regulations on industry, consumers, and the environment.
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Markova, O. M., M. V. Sobolevska, T. F. Mokrii, and D. V. Horobets. "Increasing the safery of railway passenger and freight traffic." Technical mechanics 2021, no. 2 (June 29, 2021): 78–90. http://dx.doi.org/10.15407/itm2021.02.078.

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In 2020, the Ukrainian Government conducted an audit of the Ukrainian economy for nearly 30 years of independence and decided on the vectors of economic development aimed at European and Euro-Atlantic integration. The audit of the Ukrainian railways showed that most of the railway assets are critically worn. The audit and the vectors became a starting point for the development of the National Economic Strategy of Ukraine up to 2030, which was approved on March 3, 2021. One of the priorities of this strategy is the development of the transport sector by a succession of steps, including railway track and vehicle renewal, the introduction of high-speed passenger transport, and increasing railway traffic safety and environment safety on the Urrainian railways. The aim of this paper is to work out recommendations on increasing the safety of passenger and freight traffic in Ukraine. The paper generalizes the experience gained over the years of Ukrainian independence in the fundamental and applied transport-oriented reseach conducted at the Department of Sttistical Dynamics and Multidimensional Mechanical Systems, Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine. This experience may be useful in the implementation of the above steps on the way to the sustainable development of the Ukrainian railway transport. In the paper, emphasis is on new investigations into the passive propection of the cars of a motor car train in emergency collisions whose scenarios are specified by Ukrainian State Standard DSTU EN 15227. Based on a mathematical model of a collision of identical motor car trains, a mathematical model was developed to simulate a collision of a motor car train with a large vehicle at a crossing with account for a specified force characteristic of interaction of the leading car equipped with a passive safety system with a deformable obstacle. The model developed was used in analyzing dynamic loads on the cars of a motor car train with a passive safety system in its collision at 110 km/h with a 15 t large vehicle at a railway crossing. With consideration for the results of previous investigations into the dynamics of emergency collisions of a motor car train with an identical train and a fright car, recommendations were worked out on the passive protection of a home-made leading car in accordance with the requirements of normative documents. The proposed mathematical models and designs of energy-absorbing devices, the research results, and the practical recommendations worked out may be used in designing new motor car train vehicles for the Ukrainian railways in accordance with the DSTU EN 15227 requirements for passive protection in emergency collisions.
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Chen, You-Shyang, Chih-Lung (Jerome) Chou, Yau-Jung (Mike) Lee, Su-Fen Chen, and Wen-Ju Hsiao. "Identifying Stock Prices Using an Advanced Hybrid ARIMA-Based Model: A Case of Games Catalogs." Axioms 11, no. 10 (September 24, 2022): 499. http://dx.doi.org/10.3390/axioms11100499.

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At the beginning of 2020, the COVID-19 pandemic struck the world, affecting the pace of life and the economic behavioral patterns of people around the world, with an impact exceeding that of the 2008 financial crisis, causing a global stock market crash and even the first recorded negative oil prices. Under the impact of this pandemic, due to the global large-scale quarantine and lockdown measures, game stocks belonging to the stay-at-home economy have become the focus of investors from all over the world. Therefore, under such incentives, this study aims to construct a set of effective prediction models for the price of game stocks, which could help relevant stakeholders—especially investors—to make efficient predictions so as to achieve a profitable investment niche. Moreover, because stock prices have the characteristics of a time series, and based on the relevant discussion in the literature, we know that ARIMA (the autoregressive integrated moving average) prediction models have excellent prediction performance. In conclusion, this study aims to establish an advanced hybrid model based on ARIMA as an excellent prediction technology for the price of game stocks, and to construct four groups of different investment strategies to determine which technical models of investment strategies are suitable for different game stocks. There are six important directions, experimental results, and research findings in the construction of advanced models: (1) In terms of the experiment, the data are collected from the daily closing prices of game-related stocks on the Taiwan Stock Exchange, and the sample range is from 2014 to 2020. (2) In terms of the performance verification, the return on investment is used as the evaluation standard to verify the availability of the ARIMA prediction model. (3) In terms of the research results, the accuracy of the model in predicting the prices of listed stocks can reach the 95% confidence interval predicted by the model 14 days after the closing price, and the OTC stocks fall within the 95% confidence interval for 3 days. (4) In terms of the empirical study of the rate of return, the investors can obtain a better rate of return than the benchmark strategy by trading the game stocks based on the indices set by the ARIMA model in this study. (5) In terms of the research findings, this study further compares the rate of return of trading strategies with reference to the ARIMA index and the rate of return of trading strategies with reference to the monitoring indicator, finding no significant difference between the two. (6) Different game stocks apply for different technical models of investment strategies.
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Ponsard, Claude. "Fuzzy mathematical models in economics." Fuzzy Sets and Systems 28, no. 3 (December 1988): 273–83. http://dx.doi.org/10.1016/0165-0114(88)90034-6.

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Satyannavar, Niranjan B. "Design and Analysis of Prestressed Shell Roof Structures." International Journal for Research in Applied Science and Engineering Technology 10, no. 7 (July 31, 2022): 1117–27. http://dx.doi.org/10.22214/ijraset.2022.45464.

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Abstract: In this paper, pre-stressed precast substantial Shell roof structures is proposed as an option in contrast to customary roof structures. plan of shell roof top utilizing supported concrete is extremely challenging. To oppose the high strain in base harmony, the substantial support should be pre-stressed. Here, the displaying of various setups of prestressed precast substantial shell roof structures is finished utilizing Staadpro v8i programming by changing its mathematical boundaries, for example, shapes, slant, length and dispersing of the support and investigation and streamlining is done to find the best and best prestressed precast substantial Shell roof structures designs fit to different circumstances feasible way of life implies reconsidering our approaches to everyday life, how we purchase and how we sort out our day to day existence. It is likewise about modifying how we mingle, trade, share, instruct and construct personalities. It implies changing our social orders and living in agreement with our common habitat. As residents, at home and at work, a large number of our decisions - on energy use, transport, food, waste, correspondence and fortitude - contribute towards building economical ways of life In India, customary practices that are feasible and climate well-disposed keep on being a piece of individuals' lives. India has a past filled with low carbon impression and way of life. These should be energized, rather than supplanted by more current yet unreasonable practices and advancements. This is likewise relevant to other non-industrial nations where there is a developing interest in elective models of advancement, and on restoring green cognizance drawing on conventional societies. Keywords: Precast Concrete, RCC cylindrical shell roof structures, STAAD PRO V8i, Prestressed precast shell structures
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Nguyen, Thi Viet Ly, and Roberto Montemanni. "Mathematical programming models for home healthcare service optimisation." International Journal of Operational Research 25, no. 4 (2016): 449. http://dx.doi.org/10.1504/ijor.2016.075291.

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Okuno-Fujiwara, Masahiro, and Karl Shell. "AN INTERVIEW WITH HIROFUMI UZAWA." Macroeconomic Dynamics 13, no. 3 (June 2009): 390–420. http://dx.doi.org/10.1017/s1365100509080213.

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Hirofumi Uzawa is one of the giants of modern economic theory. Hiro is probably best known to the readers of Macroeconomic Dynamics (MD) for his seminal articles on two-sector economic growth. The two-sector technology is more general than the one-sector technology: it allows a production possibility frontier that is strictly concave to the origin as opposed to being necessarily flat. This generality allows richer and more complex dynamics. This makes it especially useful for the analysis of economic fluctuations. The two-sector model is perfect for dynamic international trade.Hiro is also well known to macroeconomists for his seminal contribution to endogenous growth. In his article in the 1965 IER, productivity permanently increases as the result of permanent accumulation of human capital. Uzawa was thus a first mover in the new growth theory. The symbol H (for Human Capital, or for Hiro?) is today everywhere in models of economic dynamics.On his own and through his many students and mentees, Hiro has been the major inspiration for the modern theory of optimal economic growth. He taught a generation of pure and applied economists how to apply Pontryagin's maximum principle in economic dynamics. It seems that Uzawa introduced—or at least pushed the use of—phase diagrams in economic dynamics. Where would we be without this essential tool?Most readers of MD are likely to think first of Uzawa's contributions to macro, but Hiro is equally well known for his superb works on mathematical economics, general equilibrium, and demand theory. Hiro's mathematics is elegant and often very deep. Like the quality mathematician that he is, he does not apply technique for technique's sake.Hiro has made fundamental contributions to nonlinear programming. For the convex (but not necessarily smooth) case, he employed Slater's condition to obtain Kuhn–Tucker multipliers that satisfy the saddlepoint property necessary for an optimum. For the smooth (but not necessarily convex) case, Arrow, Hurwicz, and Uzawa introduced the current version of the constraint qualification, which ensures that optimality implies the existence of Kuhn–Tucker multipliers satisfying the saddlepoint property.Hiro's paper “Walras's Existence Theorem and Brouwer's Fixed Point Theorem” in the Economic Studies Quarterly (1962) is a hidden gem on general equilibrium. This paper can be seen as foreshadowing Sonnenschein's result on excess demand functions. Hiro clarified old, important questions about recovering preference maps from demand functions. Hiro was probably the first to convincingly show—in the context of tatonnement adjustment—the important distinction between local stability and global stability in economic dynamics.We have given here only a glimpse into the very large body of beautiful, influential Uzawa papers. Hiro's splendid bibliography is given at the end of the interview. Some of the work that Hiro has pursued energetically has yet to be widely recognized. One thinks, for example, of the Penrose Effect, Hiro's modeling of the organizational costs incurred in adding capital or making other changes in the way a firm does business.Hiro has had many successful students and mentees. Your MD interviewers are lucky to have been among those whom Hiro has influenced profoundly. A very incomplete list of the others would also include Dave Cass, Steve Goldman, Harl Ryder, Hajime Oniki, Bob Lucas, George Akerlof, Joe Stiglitz, Miguel Sidrauski, Morris Teubal, Assaf Razin, Guillermo Calvo, Bill Ethier, and Lenny Mirman.Hiro is widely recognized and even revered in Japan. He was elected to the very selective Japan Academy in 1989 at a remarkably young age. He was named “A Person of Cultural Merit” in 1983 and elected to the Order of Culture in 1997. Hiro has received significant international recognition. He was President of the Econometric Society. He is a Fellow of the Econometric Society, Member of the American Academy of Arts and Sciences, Foreign Honorary Member of the American Economic Association, and Foreign Associate of the U.S. National Academy of Sciences.This interview took place nearly 10 years ago. We apologize to the readers and to Professor Uzawa for the delay in getting the transcript to the editor. The interview was held at the Research Center on Global Warming of the Development Bank of Japan, at which Hiro plays an important role. Four of us—Uzawa, the two interviewers, and Yumiko Baba, who was then a post-doc in economics at the University of Tokyo, there to operate the tape recorder—were collected at the Meiji Gakuin University in central Tokyo and whisked away in a large black automobile to Hiro's home court at the Bank. Hiro is an imposing figure: tall and erect with a very long, pointed white beard. His eyes are very active. He strokes his beard in a soothing manner. It is not difficult to be in awe of him. The interview took an even more formal tack because there were two in the room with the nickname “Hiro.” It was hence efficient to use last names at times.The interviewers had agreed to try to steer Uzawa toward a discussion of his well-known basic technical contributions and away from his less well-known and more political contributions. In the end, we failed to steer Hiro onto any course other than his own. This is mostly as it should be. In this interview, you will hear about some of the technical contributions for which Hiro is widely known. You will also hear about what motivated him to enter economics, his strong social concerns and strong political views, the turbulence of the war years and the postwar years, and his recent work and interests. A few of the paragraphs at the end of the interview were added to bring the record up to date. What comes through is a picture of Hirofumi Uzawa, a truly distinguished scholar and a person dedicated to human betterment.Hiro talked in his usual warm, friendly voice. He peppered the interview with his strong opinions about other major economists, often with lively anecdotes. Of course, Hiro's opinions are his own, not those of the interviewers or the editors. We hope that the readers will get as much out of this conversation with Hiro as we did.
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Blazer, D. G. "Mathematical Models and Clinical Care of Nursing Home Patients." Gerontologist 32, no. 2 (April 1, 1992): 150–51. http://dx.doi.org/10.1093/geront/32.2.150.

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Cai, Jin, Xiangwei Kong, and Mingzhu Yu. "Mathematical Modeling of Sintering Air Leakage through Holes." Energies 15, no. 12 (June 8, 2022): 4224. http://dx.doi.org/10.3390/en15124224.

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The air leakage in sintering machines affects the technological and economic indexes of the sintering process. It is of great significance to monitor and estimate the key areas. Mathematical models of sintering air leakage through holes in the steady-state process are given based on the fluid mechanics to predict the flow rate and effect on the key area. It was found that the hole model is the application of constant orifice outflow in the computation of sintering air leakage. The counter-flow bed model is suitable for predicting the flow rate through a complete break in sintering wind boxes. Furthermore, This paper proposes a new hole–bed generalized model to cover all the possible hole diameters for further high-precision application. The model connects the leakage hole diameter with the sintering process for the first time and establishes their coupling relationship. The pressure state in the sintering system depends on the ratio of the leakage hole area to the sintering bed area. The proposed fast estimation models are a step forward in developing more precise and powerful calculation tools to foresee the effects and consequences of sintering air leakage. It has a good prospect for reducing and replacing complex manual measurement and bringing some insight into the state of the art that could be improved in the future.
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Teotia, Monu, Manu Sharma, Kuldeep Dubey, Amrendra Mohan Shukla, Mayank Vats, and Garima Saini. "An Approach on the Development of a Smart Monitoring System of a Baby Cradle." International Journal for Research in Applied Science and Engineering Technology 11, no. 1 (January 31, 2023): 930–34. http://dx.doi.org/10.22214/ijraset.2023.48716.

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Abstract: Baby care has grown increasingly vital and difficult for working women in recent years. Working mothers will not have enough time at home to regularly check their babies. They delegate responsibility for their baby to a baby sitter or send the baby to their grandparents' home. A smart cradle with an automatic baby monitoring system was designed in the proposed work. The necessary parameters of the infant, such as temperature, heartbeat rate, gas molecules, capture the movements, and position of the baby, were measured and monitored in the baby monitoring system. The infant monitoring system is connected to the cradle, creating an incubator-like environment for the baby. The infant monitoring device keeps an eye on the baby 24 hours a day, seven days a week. The mobile application will display the measured parameters concerning the baby's health, such as temperature, heartbeat rate, and wetness on the baby bed. The baby monitoring system prototype aids parents in time management while also making life easier for caregivers. This infant monitoring device has been shown to do the least amount of harm to the baby while providing the highest level of accuracy. Though several models are already available on the market, the primary goal of this research paper would be to propose an approach for recognizing a particular accent of an individual infant among a group of infants using advanced technologies like as Ai, NLP, or speech recognition.
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Yonay, Yuval, and Daniel Breslau. "Marketing Models: The Culture of Mathematical Economics." Sociological Forum 21, no. 3 (December 5, 2006): 345–86. http://dx.doi.org/10.1007/s11206-006-9031-5.

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Breslau, Daniel, and Yuval Yonay. "Beyond Metaphor: Mathematical Models in Economics as Empirical Research." Science in Context 12, no. 2 (1999): 317–32. http://dx.doi.org/10.1017/s0269889700003446.

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The ArgumentWhen economists report on research using mathematical models, they use a literary form similar to the experimental report in the laboratory sciences. This form consists of a narrative of a series of events, with a clear temporal segregation of the agency of the author and the agency of the objects of study. Existing explanations of this literary form treat it as a rhetorical device that either conceals the agency of the author in constructing and interpreting the findings, or simply appropriates the appearance of accepted (natural-)scientific method. This article — based on analysis of a research program in economics, a single article that issued from that program, and in-depth interviews with the authors — proposes an alternate interpretation. Drawing on the praxeological “laboratory studies” tradition in science studies, we treat work with mathematical models as involving the interaction of economists with objects (models) that act independently of the analyst's will. The clear separation of the economist's and the models agency, as depicted in the published report, is not the result of a rhetorical rewriting of actual events, but is a practical accomplishment. Every step in the analytical work that preceded the paper is devoted to developing a procedure in which the economists' agency will be completely accountable in terms of accepted practices, and the performance of the model will be distinct and compelling.
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Quintanilla, Sacramento, Francisco Ballestín, and Ángeles Pérez. "Mathematical models to improve the current practice in a Home Healthcare Unit." OR Spectrum 42, no. 1 (October 18, 2019): 43–74. http://dx.doi.org/10.1007/s00291-019-00565-w.

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Boguski, Terrie K., Robert G. Hunt, and William E. Franklin. "General mathematical models for LCI recycling." Resources, Conservation and Recycling 12, no. 3-4 (November 1994): 147–63. http://dx.doi.org/10.1016/0921-3449(94)90003-5.

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Kostin, V. A., A. V. Kostin, and D. V. Kostin. "Nonlinear averaging function of Maslov and mathematical models in economics." Doklady Mathematics 87, no. 2 (March 2013): 167–70. http://dx.doi.org/10.1134/s1064562413020129.

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Kozyrev, Anatolii Nikolaevich. "The economics of intellectual property: Measurements, mythology, and mathematical models." Herald of the Russian Academy of Sciences 85, no. 5 (September 2015): 412–20. http://dx.doi.org/10.1134/s1019331615050020.

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Baskot, Bojan. "Modelling home equity conversion loans with life insurance models." Ekonomski anali 58, no. 199 (2013): 127–64. http://dx.doi.org/10.2298/eka1399127b.

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Home equity represents a reserve that can be used for providing additional money for its owners during their retirement. Life insurance models can be successfully applied to model home equity conversion loans. The home equity conversion loan is a financial product that provides a certain flexibility by using home equity as a resource for a quality life during retirement. Home equity conversion loans do not have a predetermined maturity date, as do conventional loans. But, like every loan, it must be repaid. One potential advantage of using a home equity conversion loan during tough financial times instead of some types of need-based assistance is that eligibility is straightforward. Home equity conversion loans can be useful tools in the process of pension system reform.
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Augeraud-Véron, Emmanuelle, Raouf Boucekkine, and Vladimir M. Veliov. "Distributed optimal control models in environmental economics: a review." Mathematical Modelling of Natural Phenomena 14, no. 1 (2019): 106. http://dx.doi.org/10.1051/mmnp/2019016.

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We review the most recent advances in distributed optimal control applied to Environmental Economics, covering in particular problems where the state dynamics are governed by partial differential equations (PDEs). This is a quite fresh application area of distributed optimal control, which has already suggested several new mathematical research lines due to the specificities of the Environmental Economics problems involved. We enhance the latter through a survey of the variety of themes and associated mathematical structures beared by this literature. We also provide a quick tour of the existing tools in the theory of distributed optimal control that have been applied so far in Environmental Economics.
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KLEIN, EILI, RAMANAN LAXMINARAYAN, DAVID L. SMITH, and CHRISTOPHER A. GILLIGAN. "Economic incentives and mathematical models of disease." Environment and Development Economics 12, no. 5 (October 2007): 707–32. http://dx.doi.org/10.1017/s1355770x0700383x.

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The fields of epidemiological disease modeling and economics have tended to work independently of each other despite their common reliance on the language of mathematics and exploration of similar questions related to human behavior and infectious disease. This paper explores the benefits of incorporating simple economic principles of individual behavior and resource optimization into epidemiological models, reviews related research, and indicates how future cross-discipline collaborations can generate more accurate models of disease and its control to guide policy makers.
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Figovsky, Oleg L., and Oleg G. Pensky. "Robots, Digital Twins of People, Dialectical Models of Society and Economics." Economic Strategies 144 (September 20, 2020): 58–67. http://dx.doi.org/10.33917/es-5.171.2020.58-67.

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Current mathematical models of economics practically do not take into account the human factor when making management decisions and applying them to practice. Therefore, the creation of a mathematical theory of general human psychology, the dialectical development of human society and macroeconomics are becoming particularly relevant at present. This paper describes the main results of the mathematical modeling of psychological behavior, so-called digital twins, which are psychological analogs of people. Theorems explaining the dangers of artificial intelligence for people from the mentality point of view are formulated. We propose general models of dialectical development of the virtual world for digital twins, human society and macroeconomics.
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Makarov, Sergey I. "Mathematical modeling skills development among students of universities of economics." Samara Journal of Science 9, no. 2 (May 29, 2020): 254–57. http://dx.doi.org/10.17816/snv202307.

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This paper discusses approaches to economic and mathematical modeling skills development among students of universities of economics. The need for this competency among specialists in the digital economy is shown. The motivation of the student the future specialist in the digital economy in mastering the basic techniques of economic processes and systems modeling is outlined. The sections of the school course in mathematics are given, which are the basis for the development of these skills. Mathematical courses are examined; their study is considered to be the foundation for the development of the competence in economic processes modeling. The author describes the main types of mathematical models that are studied at the present stage at universities of economics and are widely used in the digital economy. The author also presents a classification of the models used in the educational process while studying mathematical courses. The main requirements for economic-mathematical models are discussed and substantiated. The author has listed necessary requirements for teachers of mathematical departments of universities. These requirements can help them to teach basic mathematics and its applied sections (e.g. mathematical modeling) to students successfully. The main conclusions and results of the study can be used in the practical work of teachers of mathematical departments at universities of economics when creating electronic teaching aids of economic and mathematical modeling and methods of their application in the educational process.
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Wibisono, Hendar Ahmad, Hendri Eka Jaya Putra, and Suyitno Muslim. "EFFECT OF SKINNER'S LEARNING THEORY WITH PICTURE AND PICTURE MODEL ON THE ABILITY OF MATHEMATICAL UNDERSTANDING OF STUDENTS IBNU HAJAR MANDIRI." Akademika 10, no. 02 (November 12, 2021): 261–75. http://dx.doi.org/10.34005/akademika.v10i2.1448.

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Mathematics is often considered a scourge for the field of study that is considered difficult and boring, the learning carried out is teacher-centered where students are less active and only accept the learning delivered by the teacher. Based on this background, the purpose of this research is to find out the improvement of students' mathematical understanding skills whose learning uses Skinner's learning theory through picture and picture models, to find out the differences in students' mathematical understanding abilities who use Skinner's learning theory through picture and picture models with those who do not use Skinner's learning theory but through the picture and picture model, and knowing the student's response to learning using Skinner's learning theory through the picture and picture model. The research method used is a true experimental method with a population of all eighth-grade students of Ibnu Hajar Mandiri Bekasi Junior High School for the 2020/2021 academic year. Sampling was done purposively. The instrument is a test about the description of students' mathematical understanding abilities on function material and questionnaire sheets. The results showed that learning mathematics using Skinner's learning theory through picture and picture models can improve students' mathematical understanding skills, besides that there are differences in the mathematical understanding of students whose learning uses Skinner's learning theory through picture and picture models with students whose learning does not use Skinner's learning theory but through picture and picture models. The student's response after using Skinner's learning theory through the picture and picture model was considered good. This shows that only a small number of students still consider mathematics a very difficult and boring subject.
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Jusniani, Nia, and Eka Firmansyah. "Mathematical Representation Ability and Student Confidence through Auditory Intellectually Repetition." Hipotenusa : Journal of Mathematical Society 3, no. 2 (December 28, 2021): 129–43. http://dx.doi.org/10.18326/hipotenusa.v3i2.5442.

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The purpose of this study is to determine the difference in the ability of mathematical representation of students students' confidence who use the auditory intellectually repetition learning model with students who use the usual learning model. This research is used quantitative analysis with the Quasi-Experimental Design method. The research design used is a nonequivalent control group design. This study's population was grade VII students academic year 2018/2019. The samples in this study were selected using a purposive sampling technique with grade VII-1 as an experimental class of 30 students and grade VII-2 as a Control class with 30 students. Experimental classes follow learning with auditory Intellectually Repetition models, and control classes follow conventional learning. The research analysis results showed that there were differences in the ability of mathematical representation of students using auditory intellectual repetition learning models with students using ordinary learning models. There is a difference in the confidence of students who use Auditory Intellectually Repetition learning with students who use the usual learning model.
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Highfill, Jannett K. "Economics as Allegory." Journal of Interdisciplinary Economics 4, no. 2 (January 1992): 131–36. http://dx.doi.org/10.1177/02601079x9200400202.

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The paper consists of an investigation of Donald McCloskey’s proposition that economic journals contain both metaphors and allegory. The first section consists of a definition of allegory where it is shown that the defining trait of allegory is that it can be read on two levels, the literal and the figurative or allegory. This definition is then used to show (in the second section) that while narrative economic allegories can certainly be written, such economics narratives as the typical “Robinson Crusoe Allegory” are not, in fact, allegory. An example of an economic narrative which is allegory is provided. The second section concludes by demonstrating that mathematical economic models are allegory, and an example is given. In the third section it is shown that both the literal and figurative levels of mathematical economic models are abstract, and that this fact has important implications for the use of empirical data in economics.
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Chen, Yun Yun, Zhan Feng Ying, Jun Ji Wu, and Si Kun Heng. "Research on the Output Characteristics of Different PV Array Models." Advanced Materials Research 512-515 (May 2012): 155–58. http://dx.doi.org/10.4028/www.scientific.net/amr.512-515.155.

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The simulation of the output characteristics of PV array is the problem to be solved firstly of the maximum power point tracking technology simulation of PV array. At present, there are three methods of PV array mathematical model building at home and abroad, but there aren’t comparative studies of their simulation effect to PV array. This paper analyses the three methods and carries out the simulation for them by MATLAB/Simulink platform. Finally, with comparing the simulation results of them, their simulation effect are basically identical, but the first mathematical model is more simple and is more helpful for the researchers to read and analyse.
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38

Lester, Robert. "Home production and sticky price models: Implications for monetary policy." Journal of Macroeconomics 41 (September 2014): 107–21. http://dx.doi.org/10.1016/j.jmacro.2014.05.002.

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39

Stutt, Richard O. J. H., Renata Retkute, Michael Bradley, Christopher A. Gilligan, and John Colvin. "A modelling framework to assess the likely effectiveness of facemasks in combination with ‘lock-down’ in managing the COVID-19 pandemic." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2238 (June 2020): 20200376. http://dx.doi.org/10.1098/rspa.2020.0376.

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COVID-19 is characterized by an infectious pre-symptomatic period, when newly infected individuals can unwittingly infect others. We are interested in what benefits facemasks could offer as a non-pharmaceutical intervention, especially in the settings where high-technology interventions, such as contact tracing using mobile apps or rapid case detection via molecular tests, are not sustainable. Here, we report the results of two mathematical models and show that facemask use by the public could make a major contribution to reducing the impact of the COVID-19 pandemic. Our intention is to provide a simple modelling framework to examine the dynamics of COVID-19 epidemics when facemasks are worn by the public, with or without imposed ‘lock-down’ periods. Our results are illustrated for a number of plausible values for parameter ranges describing epidemiological processes and mechanistic properties of facemasks, in the absence of current measurements for these values. We show that, when facemasks are used by the public all the time (not just from when symptoms first appear), the effective reproduction number, R e , can be decreased below 1, leading to the mitigation of epidemic spread. Under certain conditions, when lock-down periods are implemented in combination with 100% facemask use, there is vastly less disease spread, secondary and tertiary waves are flattened and the epidemic is brought under control. The effect occurs even when it is assumed that facemasks are only 50% effective at capturing exhaled virus inoculum with an equal or lower efficiency on inhalation. Facemask use by the public has been suggested to be ineffective because wearers may touch their faces more often, thus increasing the probability of contracting COVID-19. For completeness, our models show that facemask adoption provides population-level benefits, even in circumstances where wearers are placed at increased risk. At the time of writing, facemask use by the public has not been recommended in many countries, but a recommendation for wearing face-coverings has just been announced for Scotland. Even if facemask use began after the start of the first lock-down period, our results show that benefits could still accrue by reducing the risk of the occurrence of further COVID-19 waves. We examine the effects of different rates of facemask adoption without lock-down periods and show that, even at lower levels of adoption, benefits accrue to the facemask wearers. These analyses may explain why some countries, where adoption of facemask use by the public is around 100%, have experienced significantly lower rates of COVID-19 spread and associated deaths. We conclude that facemask use by the public, when used in combination with physical distancing or periods of lock-down, may provide an acceptable way of managing the COVID-19 pandemic and re-opening economic activity. These results are relevant to the developed as well as the developing world, where large numbers of people are resource poor, but fabrication of home-made, effective facemasks is possible. A key message from our analyses to aid the widespread adoption of facemasks would be: ‘my mask protects you, your mask protects me’.
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Leontyev, A. S., and M. S. Timoshkin. "MATHEMATICAL MODELS FOR ACCOUNTING OF PROCESSING PROGRAM'S CONFLICTS, CAUSED BY DATABASE RECORDS MONOPOLIZATION." Форум молодых ученых, no. 9 (2022): 51–60. http://dx.doi.org/10.46566/2500-4050_2022_73_51.

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41

Hodgson, G. "On the Problem of Formalism in Economics." Voprosy Ekonomiki, no. 3 (March 20, 2006): 111–24. http://dx.doi.org/10.32609/0042-8736-2006-3-111-124.

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The author analyses "critical realist" economic methodology with respect to application of mathematical modeling. He indicates strong and weak sides of critical realist argument, putting emphasis on the works by T. Lawson. An alternative view on the role of formal technique in economics is proposed, taking into account the diversity of interpretative contexts while applying mathematical models.
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Nguyen, Nhu Tuong An, Vinh Quang Do, The Thinh Pham, and Tuan Tran Nguyen. "Application of different control algorithms on a ‘home-made’ temperature control lab kit." Can Tho University Journal of Science 14, no. 1 (March 30, 2022): 62–73. http://dx.doi.org/10.22144/ctu.jen.2022.007.

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Providing enough facilities for students to do laboratory activities is important. An existing useful kit was proposed for students learning a variety of control engineering topics. A temperature control lab kit is made from scratch using common electronics components as a replacement for the original TCLab introduced by Hedengren (Hedengren et al., 2019). Mathematical models of the system derived from theoretical and experimental methods are simulated in Matlab/Simulink to verify their accuracy to the physical kit. Different control algorithms such as: On/Off, PID, Fuzzy are then applied on the Kit as well as its mathematical models to illustrate their control feasibility. Human machine interface (HMI) is also designed using Matlab GUI allowing an operator to select a control algorithm, tune control parameters and monitor parameters of the process. Experimental results show that the derived models can reflect quite well dynamics of the physical kit with temperature deviation among them in the range of ±3°C. This confirms that the kit is well-suited for teaching different control topics such as system modelling, system identification, classical control and advanced control algorithms.
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Ruzavin, G. "On the Problem of Rational Choice in Economics and Other Social Sciences." Voprosy Ekonomiki, no. 8 (August 20, 2003): 102–16. http://dx.doi.org/10.32609/0042-8736-2003-8-102-1116.

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Wide spreading of rational choice paradigm in economics puts forward the analysis of possibilities of its use in other social sciences. As a whole, it is applicable in every sphere where the choice takes place. However economic variables can be measured by value and therefore this discipline can use formal mathematical models. In other social sciences the use of formal models is more difficult. Hence the progress in social sciences may be achieved by constructing new mathematical models.
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44

Gong, Yuwen, and Miaomiao Zhang. "The Significance of Introducing Mathematical Theoretical Models in Undergraduate Teaching of International Economics in China." International Journal of Education and Humanities 4, no. 2 (September 6, 2022): 66–68. http://dx.doi.org/10.54097/ijeh.v4i2.1507.

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In the process of teaching International Economics at the undergraduate level in China, students are often found to be negative to learning the ‘complex’ mathematical models. Based on this phenomenon, this paper discusses the reasons for students' negative feelings and the significance of teaching mathematical models, and finally proposes corresponding teaching suggestions. The results of this paper show that it is far more important for undergraduate students to understand the meaning of constructing ‘mathematical theoretical models’ for ‘complex’ mathematical models in international economics than for students to ‘memorize’ the specific process of model construction. As instructors, they should focus on the development of students' ‘intuition’ in economics rather than the simple transmission of knowledge. The teaching methods and assessment methods of the courses need to be reformed, and there is an urgent need for universities to promote the reform in collaboration.
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Serbenyuk, Symon. "On Some Aspects of the Examination in Econometrics." Journal of Vasyl Stefanyk Precarpathian National University 8, no. 3 (November 3, 2021): 7–16. http://dx.doi.org/10.15330/jpnu.8.3.7-16.

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Teaching econometrics has been studied by a number of researchers, however, there is little information available on the quality of examination and on simplification of tests for demonstration the high-quality knowledge by students in concrete topics of econometrics or mathematical economics.One can note the following main goals of studying the basics of mathematical economics or econometrics by students: forming the notions of mathematical model and of modeling economic processes and phenomena; understanding a role of using mathematical models for economics research and obtaining scientific results; formatting skills for constructing mathematical models in economics, for solving economics problems by mathematical modeling.The main goal of this paper is to simplify test tasks, is to help to students to demonstrate the high-quality knowledge in certain areas of mathematical economics, and also is to construct a system of testing tasks, in which the emphasis was placed on the knowledge and understanding of an algorithm of solving the problem.In the present paper, to quality examine the student knowledge in the basics of mathematical economics, a certain system of tests was constructed and is considered. The main attention is also given to algorithms and techniques of solving some tasks (problems) of mathematical economics. The following topics of mathematical economics are viewed: constructing mathematical models of linear programming, the input-output model, the Monge-Kantorovich transportation problem, the simplex method of linear programming, the graphic method of linear and nonlinear programming, the method of Lagrange multipliers in mathematical optimization. Some primary basic results of studying linear programming, nonlinear programming, and the input-output model are noted.A new system of tests that satisfies the aim of this paper is modeled. The described tests require less time for solving than usual tasks. Here we do not focus on the repetition of auxiliary mathematical knowledge and arithmetic skills. These tests are simplified versions of standard tasks and help students to demonstrate knowledge in the mentioned topics of mathematical economics. The tasks are focused only on the knowledge of basic formulas, techniques, and connections between mathematical objects, economic systems, and their elements.
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Whalley, John, and Xian Xin. "Home and regional biases and border effects in Armington type models." Economic Modelling 26, no. 2 (March 2009): 309–19. http://dx.doi.org/10.1016/j.econmod.2008.07.013.

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47

ÖNAL, HAYRI, and BRUCE A. McCARL. "Aggregation of heterogeneous firms in mathematical programming models." European Review of Agricultural Economics 16, no. 4 (1989): 499–513. http://dx.doi.org/10.1093/erae/16.4.499.

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48

Coeurdacier, Nicolas, and Hélène Rey. "Home Bias in Open Economy Financial Macroeconomics." Journal of Economic Literature 51, no. 1 (March 1, 2013): 63–115. http://dx.doi.org/10.1257/jel.51.1.63.

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Home bias is a perennial feature of international capital markets. We review various explanations of this puzzling phenomenon highlighting recent developments in macroeconomic modeling that incorporate international portfolio choices in standard two-country general equilibrium models. We refer to this new literature as Open Economy Financial Macroeconomics. We focus on three broad classes of explanations: (i) hedging motives in frictionless financial markets (real exchange rate and nontradable income risk), (ii) asset trade costs in international financial markets (such as transaction costs or differences in tax treatments between national and foreign assets), and (iii) informational frictions and behavioral biases. Recent theories call for new portfolio facts beyond equity home bias. We present new evidence on cross-border asset holdings across different types of assets: equities, bonds and bank lending and new micro data on institutional holdings of equity at the fund level. These data should inform macroeconomic modeling of the open economy and a growing literature of models of delegated investment. (JEL E13, F41, G11, G12, G15)
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49

Alibekova, Zh D., G. P. Meirbekova, and G. D. Qoshanova. "Formation of Mathematical Thinking in Students Using the Method of Mathematical Modeling." Iasaýı ýnıversıtetіnіń habarshysy 126, no. 4 (December 15, 2022): 212–24. http://dx.doi.org/10.47526/2022-4/2664-0686.18.

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This article indicates and describes the formation of students' skills in mathematical thinking, shows the connection of mathematics with other disciplines by solving problems with the practical content of the school mathematics course using the method of mathematical modeling. The main goal of mathematics education is the intellectual development of students, the formation of thinking skills necessary for a person to live a full life in society. Therefore, in mathematics lessons, it is better to use pedagogical methods and technologies that develop students' creative and critical thinking. Modeling is an important tool for teaching students how to solve problems and understand the world around them. Simulation teaches the child in ways that allow him to independently work on solving problems. In a broad sense, a model is defined as a reflection of the most important properties of an object. When getting acquainted with the models of algebra and beginnings of analysis, students are shown that the connection between mathematics and its applications is carried out with the help of mathematical models. Mathematical modeling shows that all components of mathematical thinking develop, for example, functional thinking, which is characterized by the sensation of the development of general and individual relations between mathematical objects or their properties, clearly visible in connection with the idea of a function.
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50

CARMONA, RENÉ, and SERGEY NADTOCHIY. "TANGENT MODELS AS A MATHEMATICAL FRAMEWORK FOR DYNAMIC CALIBRATION." International Journal of Theoretical and Applied Finance 14, no. 01 (February 2011): 107–35. http://dx.doi.org/10.1142/s0219024911006280.

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Motivated by the desire to integrate repeated calibration procedures into a single dynamic market model, we introduce the notion of a "tangent model" in an abstract set up, and we show that this new mathematical paradigm accommodates all the recent attempts to study consistency and absence of arbitrage in market models. For the sake of illustration, we concentrate on the case when market quotes provide the prices of European call options for a specific set of strikes and maturities. While reviewing our recent results on dynamic local volatility and tangent Lévy models, we present a theory of tangent models unifying these two approaches and construct a new class of tangent Lévy models, which allows the underlying to have both continuous and pure jump components.
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