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Powers, at first pass, are all and only those properties that (i) are possessed by agents and (ii) are typically expressed by the modal auxiliary 'can'.
Assume that (i), are closed, is a nonempty convex subset; (ii) and there exists such that ; (iii) is Gateaux differentiable at and -convex on.
These attributes enable the innovative design of patient-specific medical implants that (i) are conformal to the intended surgical geometry, (ii) mimic the mechanical properties of natural bone, and (iii) provide superior biological interaction to traditional implants.
Assume that (i), are closed, is invex with respect to ; (ii) and there exists such that ; (iii) is -preinvex on with respect to and Gateaux differentiable at, and is Gateaux differentiable at and -preinvex on with respect to ;.
Assume that (i), are closed, is invex with respect to ; (ii) and there exists such that ; (iii) is Gateaux differentiable at and -preinvex on with respect to, and is Gateaux differentiable at and -preinvex on with respect to.
Based on our analysis, we obtain congestion control laws at links and sources that (i) are linearly stable regardless of the network topology, provided that a bound on round-trip-times is known, (ii) provide a utility proportional fair resource allocation in equilibrium.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com