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We derived closed form expressions for the optimal time allocation.

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.

The goal of this paper is twofold: (i) to derive closed form analytical expressions for the pdfs of the ML estimates of persymmetric real and complex CMs of Gaussian processes/fields of various natures and (ii) to feature their usefulness in statistical data characterization and operational performance analysis in applications to SP systems that possess a space-time receive channel СS property.

I derived closed-form solutions for a number of quantities that are of considerable interest.

This part of the appendix derives closed form equation for the JCCDF in (12).

The assume mode/Lagrangian formulation of dynamics is employed to derive closed form equations of motion.

Authors derive closed form expressions for tight lower bounds on the symbol error probability and outage probability.

We derive closed form expressions for tight lower bounds of the symbol error probability and outage probability.

We derive closed analytical formulae of connectivity for random interval graphs in the presence of fixed access points.

Variational Iteration Method (VIM) is used to derive closed form approximate solutions for both free and forced vibration.

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