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A discrete controller is designed using the simplified equations of rotational motion through appropriate coordinate transformation.
Generic, simplified equations of transport for sap and carbohydrates are solved using finite element analysis.
For the ease of the design, simplified equations of the bending capacity are provided in the chapter and the proposed design method is checked by the analysis results.
Simplified equations of motion for the gas liquid interface were developed, and together with thermodynamic equations for the gas in the bubble and the chamber below the orifice plate, the instantaneous shape of the bubble during its formation was calculated.
Previous studies have modeled the physics of lava flows using the Navier-Stokes equations and simplified equations of state (Dragoni 1989; Del Negro et al 2005; Miyamoto and Sasaki 1997).
Basing on the Kirchhoff's thin plate theory simplified equations of motion are derived, which are characterised by highly-oscillating, periodic and non-continuous coefficients.
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While in principle such algorithms could be used in-lieu of a linear equation of state in a groundwater model, the computational overhead is such that the use of a more simplified equation of state is preferred.
Therefore a more refined theoretical treatment is given here with a simplified equation of motion, which takes into account as the only wall correction that to the Stokes drag force.
Most process-based simulators incorporate a simplified equation of flow to mimic processes governing deposition of sediments (Cojan et al. 2005).
By studying the pyroelectric materials, Hossain and Rashid gived the simplified equation of pyroelectric current [30]: I ( t ) = p s d T ( t ) d t = p s η C e - G C t U ( t ) ∗ d ϕ ( t ) d t, (1).
The ILS data analysis method uses the simplified equation of Hellström, Eskilson, and Mogensen (Eskilson 1987) to model temperature results of TRT, which turns into a line in the dimension of the time logarithm (Equation 1): {T}_{mathrm{f}}(t)=bcdot ln t+a (1).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com