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When put together, our mathematical model implementing hysteresis and adaptation as independent factors replicates the pattern of behavioral results for rectangular and hexagonal dot lattices (Fig. 6).
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The mathematical model implemented is the Biological Nutrient Removal Model No.1 (BNRM1) which allows simulating the most important physical, chemical and biological processes taking place in treatment plants.
The paper presents a mathematical model, implemented in a general computer code, that can provide detailed information on velocity and temperature prevailing in three-dimensional buildings of any geometrical complexity, for given external meteorological conditions.
A mathematical model implemented in a general computer code that can provide detailed information on CO concentration as well as air flow field prevailing in three-dimensional enclosed spaces of any geometrical complexity is presented.
OM developed the mathematical model, implemented and carried out the numerical calculations and drafted the manuscript.
Oliver Mitesser developed the mathematical model, implemented and carried out the numerical calculations and drafted the manuscript.
HP developed the mathematical model, implemented it, carried out the numerical calculations and led the drafting of the manuscript.
The artificial data were simulated using mathematical models implemented in JDesigner.
Dynamic mathematical modeling implemented in a system of differential equations is one of the mainstream approaches [ 59, 60].
The mathematical model is implemented with a finite volume method.
The mathematical model was implemented on Matlab and resolved numerically using the finite differences method.
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