Sentence examples for mathematical models involves from inspiring English sources
The premise of mathematical models involves experimental validation and feedback between the models and experiments.
Moreover, the cutting tool analysis and the mathematical models involved are supplied in the present dissertation.
For example, mathematical models involving stochastic processes arise in physiology [4 7], ecology [8 10], and genetic regulatory systems [11 13].
Variances and covariances are important concepts in the analysis of variance since they can be used as quantitative tools in mathematical models involving probability and statistics.
Optimization of desalination membrane-plant design and its operation strategy requires quantification of scaling evolution phenomena, through appropriate mathematical models involving experimentally determined system parameters.
The theory of calculus on time scales was initiated by Hilger [1] in order to unify continuous and discrete analysis, and it has become an effective approach to the study of mathematical models involving the hybrid discrete-continuous processes.
Fortunately, the theory of calculus on time scales (see [19, 20] and references cited therein) proposed by Hilger in his Ph.D. thesis [21] can unify continuous and discrete analysis, and it has become an effective approach to the study of mathematical models involving the hybrid discrete-continuous processes.
The MSF mathematical model involves the real-physical constraints for the evaporation process.
The mathematical model involves moving boundaries governed by a fourth order nonlinear partial differential equation which contains a nonlocal term corresponding to the electrical field and a nonlinear term corresponding to the curvature.
Unsteady state mathematical model involves all the processes occurring simultaneously or sequentially during the solid fuel combustion such as moisture evaporation, devolatilization, pyrolysis and homogeneous and heterogeneous combustion reactions.
Today engineering and science researchers routinely confront problems in mathematical modeling involving nonlinear differential equations.
