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The optimal values of the convergence control parameters for all the cases considered are obtained by minimizing Equation 19 using the Mathematica function Minimize and are given in Tables 1,2 and3.
The coordinates of each node in the 3D layout were retrieved using the Mathematica function 'VertexList' and the 'GraphUtilities' library [53].
Computations were conducted using the Mathematica function NDSolver.
Using the Mathematica function Manipulate, it is relatively easy to set up a model with an interface that can quickly vary initial conditions and parameters.
Using the MATHEMATICA function FindRoot, we obtain the following crossing points for the distribution functions of the two diagnostic categories: Scenario 1, x = 9.20041; Scenario 2, x = 7.47228; Scenario 3; x = 5.10873; and Scenario 4, x = 13.4333.
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A search on directed acyclic graphs (DAGs) is performed using the Mathematica 10 symbolic functions and the result is used in an interval Taylor series with contractors.
Specifically, we used the Mathematica [ 35] correlation function (n = 10; r < -.8) for a directional significance of (p < .0027).0027
integrand can be a user-written function, but more commonly it will be created by the Mathematica functions of CrasyDSE.
The maximum reducing equivalent production rates for arbitrary growth rates between the data points were calculated using the interpolation function in Mathematica 9.0 (Wolfram Research, Inc. Champaign, IL, USA).
Although the least-squares method was fundamentally used for the fitting after manually choosing initial parameters using the function FindMinimun of Mathematica, it was difficult to execute automatic calculations to find the global minimums.
The gene-regulation function can then be calculated using standard Mathematica functions for manipulating polynomial expressions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com