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We have plotted the analytical results using these derived close form expressions.
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The numerical results show that the derived close-form expressions are sufficiently accurate in the sum of the average rate of CUs and DUs achieved by interference alignment with limited feedback in D2D uplink underlaying cellular networks.
We derived closed form expressions for the optimal time allocation.
The good agreement between measured and simulated results confirmed the design concept and derived closed-form design equations.
Also, comparisons with finite element calculations show that the derived closed-form formulae provide excellent results even for large anisotropy.
Specifically, we derived closed-form system-theoretic models and expressions for configurations that represent different communication systems based on the type of molecular antennas used.
The accuracy of the derived closed-form estimates is verified experimentally for the case of a sandwich beam in three-point bending.
This novel approach possesses several distinct advantages: first, it can be applied to any general serial manipulator with positional degrees of freedom that might not have any derived closed-form solution for its inverse kinematics.
We derived closed and open-ended questions from key issues identified in the EC and ethics literature on consent methods.
In particular, they derived closed form approximations for the amplitude and frequency of oscillation, where oscillatory behaviour is assumed to arise through Hopf bifurcation in the delay parameter.
This part of the appendix derives closed form equation for the JCCDF in (12).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com