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To this end, we extend the ordinary differential equation setting used in nonlinear mixed effects models to include stochastic differential equations.
First of all, using a simultaneous equation setting and considering network effects and cross-equation restrictions we show that ATM transactions and POS transactions are significantly and negatively related and have a large economic impact one on another.
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This equation set is considerably simpler to implement into a numerical solver and reduces the required CPU time relative to the highest-order equation set.
For optimization, we introduce an objective function into the equation set.
We prove Strichartz estimates over large time scales for the Schrödinger equation set on irrational tori.
The critical gaps are estimated using the equation set I for aggressive and non-aggressive drivers.
Therefore, this PWM technique requires the determination of the optimum switching angles by solving the nonlinear equation set.
This chapter focuses on the building blocks required to describe the nuclear and physicochemical processes in the general equation set.
By solving the optimization equation set numerically, the proposed method is applied in a simple room model.
In addition, the physical relationship between the mass diffusion and heat fluxes is added to the evolution equation set.
Then, the DCBs of satellites and receivers were determined by solving the equation set with the least-squares fitting technique.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com