However, this is not important: the authors have done all the mathematical heavy lifting for us and bring three things to the table: first, the notion that seizure onset (and offset) can be cast in terms of bifurcations (qualitative changes in dynamics) that are induced by changing the parameters of a coupled dynamical system such as synaptic efficacy in neuronal microcircuits.
France's win over Italy in Rome was far less entertaining, but it leaves four teams with at least a mathematical chance of lifting the trophy.
This model uses statistical methods to generate a mathematical model for gas lift operation.
Third, the mathematical model to predict lift force is awkward to apply in a numerical trajectory simulations.
In particular, 3D effects like centrifugal pumping were taken into account using a suitable mathematical representation of the lift and drag coefficients [6] whereas, for the tip losses, a modified Prandtl function was implemented [1, 2, 4, 5].
The video screen, resembling an electric mathematical grid, was eventually lifted during the performance.
Equation (1.3) with (alpha=1) is called a Chaplygin gas, which was introduced by Chaplygin [5] and Tsien [6] as a mathematical approximation for calculating the lifting force on a wing of an airplane in aerodynamics.
In order to check the validity of the mathematical model, the intermittent gas lift experimental data, i.e. pressure gradient as a function of time, of Brown [Gas Lift Theory and Practice, Prentice-Hall, Englewood Cliffs, NJ (1967)] were compared with the results obtained by this simulator.
After he dies, she sinks into a depression, which is lifted after her own mathematical gift is revealed.
Assessment of gas lift operations can be performed using mathematical methods, which are complex and cannot determine the best well for gas lift injection.
