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Lemmas 3.1 and 3.2 in [13] show that such a solution is also uniquely determined by an initial value condition.
Usually, outbreak situations are characterized by an initial value of R0 > 1 (or sometimes slightly <1), followed by a decrease through interventions, behaviour change, lack of sufficient susceptible individuals, or a combination.
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This occurs by adaptation of the gradient method in which gradients are replaced by sub-gradient method by giving an initial value for Lagrangian multiplier by dualizing the constraints with objective function Eq. 14 for the power consumption and Eq. 12 for the delay.
We acknowledge that it is extremely difficult to fold a protein molecule properly by solving an initial value problem, that is, by starting with an initial conformation of the molecule and patiently waiting to observe it to fold into its native conformation using the standard MD simulation approach.
For a given temperature and a given initial state, conventional MD approach simulates conformational changes of a system fulfilling the Newton dynamics by solving an initial value problem.
When unpredictability isn't desired, it is possible to take control of the random number generation process by setting an initial value (called a seed) for the Random class explicitly.
The indentation resistance decreased by 50% from an initial value of 28 MN/m2 in the first 2 months and then remained stable.
Once convergence was reached for a given order, it was increased by 1 using an initial value of 0 for the appended coefficients.
Also, unlike the existing embedded schemes, the estimated error (e_{m}) is embedded in the algorithm EEECM itself by considering as an initial value at each time interval.
By substituting in an initial value, a typical Cauchy problem was formed and numerical integration curves were computed for Eqn (1).
The TC is roughly equivalent to the time taken for the slow-phase eye velocity (or intensity of vertigo perception) to decrease by 63.2% from an initial value.
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