Sentence examples for mathematical analysis due from inspiring English sources

However, networks tend to be huge and impose computational challenges on traditional mathematical analysis due to their high dimension and lack of reliable kinetic data.

The mathematical analysis of these models is sophisticated due to degeneracies of the associated Fokker-Planck equations.

(2a) Assuming spatially homogeneous conditions, the system can be described by the two-component mass-action kinetic ODE system (S is incorporated into k1): (2b) Due to its simplicity, the mathematical analysis of the system is simple as well.

In the performance figures, closed form results have been used for antenna selection while mode 1 was studied using only numerical techniques due to the complexity of the detailed mathematical analysis involved.

The trapezium-type inequality has remained an area of great interest due to its wide applications in the field of mathematical analysis.

In this work, in order to obtain a tractable mathematical analysis, it is proposed to approximate the secondary users' call interruption process due the arrival of primary users by a Poisson one.

In particular, the relative gain and/or loss of these quantities that occurs due to changing from one configuration to another are compared through rigorous mathematical analysis.

Among them, HFPNe and its related concepts have been accepted as a formal modeling method due to potential advantages of HFPNe possessing intuitive graphical representation and capabilities for mathematical analysis [ 19- 23].

Due to the high singularity in the dipolar interaction potential, it brings significant difficulties in mathematical analysis and numerical simulations of dipolar BECs.

The mathematical analysis is as follows.

For one thing, some aspects of altruism lend themselves to mathematical analysis, he explained.