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Moreover, we obtain the quadratic equation ({XP}_{d_{t}}^{2}+{YP}_{d_{t}}+Z=0) by setting (frac {partial F1 w,P_{d_{t}})}{partial P_{d_{t}}}=0), whose positive root, if it exists, corresponds to the third case in Equation 22.
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The other cases in which a unique NE exists correspond to one transmitter allocating maximum transmit power and the other not transmitting.
Why should perfection or reality and strength of reason to exist correspond to possessing a greater number of attributes?
It is clear that solutions of (0in Au), if they exist, correspond to fixed points of T. Within the past 35 years or so, methods for approximating solutions of equation (1.8) when A is an accretive-type operator have become a flourishing area of research for numerous mathematicians.
In all these systems a location for the intermediate support exists, which corresponds to passage from flutter to divergence.
Thus, in these cases, an optimum value for the mutation rate exists that corresponds to the lowest value of the characteristic time for quasispecies evolution.
The results indicate that an optimal liquid velocity exists that corresponds to the minimal bubble coalescence at which the breaker efficiency is maximum.
If the tentative entry exists that corresponds with the name prefix in the received PACK message, intermediate CRs update the status of the path entry as "valid".
When H is low, the medium can be considered as weakly depolarizing, and a dominant scattering mechanism exists, which corresponds to the largest eigenvalue.
A stable morphology is the one that minimizes the potential energy of the droplet filament system, while morphology transition may happen when an intermediate state exists which corresponds to a higher potential energy.
(ii) If this holds true the truncation is further impacted by the finite-size effect - i.e., that a physical upper limit of the maximum popularity of recipes exists which corresponds to the number of users on the platform.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com