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A condition for existence of a competitive equilibrium with physical power demand requirements for the communication spectrum market with Shannon utility is derived.
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Thus, Theorem 5 gives a condition for the existence of solutions for both these problems.
Geometrically, (1.9) is also a condition for the existence of a heteroclinic orbit connecting and.
A condition for the existence of the Green's function (fundamental system ) is (6.28).
In this section, we are going to provide a condition for the existence of the p-adic quasi Gibbs measure.
We derive a condition for the existence of a cost-optimal homeostatic state.
This reasoning, supported by empirical data, was used to propose an Nm threshold of 0.5 as a condition for the existence of species [ 5].
Based on a Lyapunov functional, we derive a sufficient condition for existence of the designed filter which requires solving a nonlinear matrix inequality.
Based on a Lyapunov functional, we derive a sufficient condition for existence of the designed observer which requires solving a nonlinear matrix inequality.
Now, we seek to derive a sufficient condition for existence of a satisfaction equilibrium.
Remark 2.2 Clearly, a necessary condition for existence of L a { f } ( z ) is lim τ → ∞ f e z ( a, ρ = 0.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com