The pumping test was interpreted using classical analytical solutions, and the FVPDM tests were interpreted using a new mathematical solution, which allows for calculating changes in Darcy fluxes based on the FVPDM tracer concentration evolution during transient groundwater flow conditions.
Simple semi-analytical mathematical solutions were obtained, which avoid the use of surface coverage in computations.
Various theoretical models are proposed to understand mechanical regulation of cell functions, which provide differential mathematical solutions.
This means that the transition matrix is tridiagonal, which means that mathematical solutions are easier for the Moran model than for the Wright Fisher model.
Substituting the parameters into the mathematical solutions [Equations (4), (10), and (11)], which are shown in Method, we next obtain structural properties from this model.
Ideal gases are mathematically uncomplicated models that the application of the thermodynamic laws to them usually gives mathematical solutions that are easy to understand and which have simple mathematical structures.
Additionally, the Department sponsors undergraduate teams in the annual Mathematical Contest in Modeling in which teams of 3 people write mathematical solutions to real-life problems.
6, 7 Another mathematical solution are multivariate methods, which are based on least-square minimization of the global diffusion coefficient data set, followed by an optimization of the amplitudes of different components.
CAMERA, for instance, is an interdisciplinary project at Lawrence Berkeley National Laboratory [29], which investigates problems of DOE user facilities and develops fundamental new mathematical solutions.
Using mean-field approximation, we can obtain mathematical solutions of the model's degree distribution, degree-dependent clustering coefficient, and average clustering coefficient, which were observed to depend on temperature in Reference [ 18].
