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What is a Mathematical Model? A mathematical model is a mathematical representation of a system used to make predictions and provide insight about a real-world scenario, …
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There is an increasing requirement for improved accuracy of the rolling models which are widely used in rolling plant in order to produce high-quality products, because this accuracy is important for rolling schedule setup and automatic control. A three-dimensional mathematical model for cold rolling using tangential velocity field and …
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Mathematical Model Building 41 Using the modeling diagram. The modeling diagram breaks the modeling task into 16 = 6 + 10 different processes. Each of the 6 nodes and …
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The mathematic model for determining the kinematic parameters of a bulldozer ripper mechanism linking these parameters with the geometrical parameters of the mechanism and represented by the Eqs. ( 1 )–( 46 ) can be used to create a software for computer-aided calculation of the above-mentioned kinematic parameters with any …
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The photovoltaic (PV) cell behavior is characterized by its current–voltage relationship. This relationship is dependent on the PV cell's equivalent circuit parameters. Accurate estimation of such parameters is essential to study and analyze the PV system performance in terms of many aspects such as modeling and control. The main purpose …
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The parameters of S-W model are much more complex and difficult to measure or calculate, possibly accounting for the poor simulation effect. The setting of model parameters followed Teh [24]. The ...
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Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
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3.1.. Models implementationIf fuel and oxidant compositions are known, Eq. (6) can be solved, generating the V–J characteristic plot. In a mathematical point of view, nothing changes if V or J is set as an independent variable, and the relative (J or V) is computed.Nevertheless, when an external load is connected to the stack, it is easier to …
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Using the mathematical model previously validated (see Fig. 1) and the parameters K v and R p previously determined (see Fig. 2), it is possible to calculate the maximum product temperature (Fig. 3, upper graph) and the maximum sublimation flux (Fig. 3, lower graph) as a function of the operating conditions (shelf temperature and chamber …
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The CVFEM was chosen for the construction of a full model of the heat storage unit due to the ease of modeling a solid filling of a heat storage unit with a complex shape. The numerical model of the heat storage unit with the air flow through channels was developed. The CFD simulation was also carried out.
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Abstract and Figures. Abstract: The aim of this article is to create a very precise mathematical model with distributed parameters of the heat pumps' coaxial evaporator in order to examine the ...
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The authors reported a mathematical model for freeze-drying a cube-shaped food material in which drying progresses multidimensionally; the use of the hollow sphere model for estimating the mean ...
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The basic SIR model is an easily accessible and tangible example of a mathematical model that should be familiar to anyone who has taken an introductory modelling class. It is a system of ordinary differential equations (ODEs) that can be represented as a conceptual diagram ( Fig 1 ) and modelled using the following equations:
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Here, we present 10 simple rules for tackling your first mathematical models. While many of these rules are applicable to basic …
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Mathematical models have parameters, which are constants based on the specific model, and variables, which are inputs into the model. For example, bacterial population growth could be given by the ...
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This mathematical model of SDM-DS system's dynamics makes it possible to predict optimal parameters of directional drilling mode that ensure stable operation of borehole assembly.
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Biological systems are inherently complex, and the increasing level of detail with which we are able to experimentally probe such systems continually reveals new complexity. Fortunately, mathematical models are uniquely positioned to provide a tool suitable for rigorous analysis, hypothesis generation, and connecting results from isolated in vitro …
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Outline # The modelling process provides a systematic approach to solving complex problems: Clearly state the problem. Identify variables and parameters. Make …
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An accurate thermal model for building enables the heating system (HS) to work efficiently as well as save energy. Thermal modelling often requires physical parameters of the building, which are difficult to be accurately determined. The aim of this work is to develop an optimal thermal model for better understanding of thermal …
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Leonardo Journal of Sciences. ISSN 1583-0233. Issue 23, Ju ly-December 2013. p. 13-28. Mathematical Model for Photovoltaic Cells. Wafaa ABD EL-BASIT 1*, Ashraf Mosleh ABD El–MAKSOOD2 and. Fouad ...
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The table below summarizes this information. t. t + Δ t. Dimension. M. ( M+frac {dM} {dt}Delta t ) kg. The amount of water accumulated in the tank in a period of time Δ t is the mass of water at the time t + Δ t minus the mass of water at the time t, so the accumulation term (A) is given by: $$ A=M+frac {dM} {dt}Delta t-M $$.
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Explain what is meant by a solution to a differential equation. Distinguish between the general solution and a particular solution of a differential equation. Identify an initial-value problem. Identify whether a …
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Solve the equation V = h x w x l to determine if your results make sense. Repeat the solution to determine if your results are repeatable. 3. Determine how the model could be improved. In order to make your model useful for further applications, you need to consider how it could be improved.
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Mathematical modelling, parameter estimation and computational simulation for ... mediator (IL-10), released by macrophages when they remove apoptotic neutrophils and, in Section 2.3, we propose a new mathematical model (2) ... since IL-6 production is the lowest in the 10% EH treatment, followed by 10% OR, Collagenase and …
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This paper presents the development of a simulation tool based on the Matlab computational environment for building temperature performance analysis with automatic control. The simulation tool contains mathematical models for buildings, HVAC (Heating, Ventilation and Air Conditioning) systems, sensors, weather data and control algorithms.
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The constraint optimization techniqu e has been used in the. parameter identification of models for the human hand-arm system [11 ]. The reported studies [1, 2, 3, 5, 10] did. not check the unique ...
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Beginning with analyzing current generic technology from the grinding process of the crushing equipment for three kinds of mills crushing material bed,it builds the mathematical model of grinding channels,as well as deduces the conclusion that the critical clamping …
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The mathematical model takes the form of a closed interface evolving via forced mean curvature flow (together with a 'kinetic under–cooling' regularisation) where the forcing ... "is a small parameter that appears in a number of places, associted with a key distinguished limit. The system (2.1) is taken to hold in a finite domain ...
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The semi-empirical mathematical model. The semi-empirical mathematical model describes the characteristic polarization curve of a PEMFC. This model involves several parameters, which describe the overpotential in the anode and the cathode as a function of oxygen and hydrogen partial pressures [7], [31]. The cell output voltage VFC …
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It is an important basis for PV power generation and related technology research to establish an efficient and accurate photovoltaic (PV) array engineering mathematical model. For the difficult problem of traditional mathematical model of PV array to be solved, the engineering mathematical model of PV array is derived based …
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