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It may be used to compute various statistics about regions bounded by a finite and closed polygonal path.
The inter event execution time is shown to be lower bounded by a finite positive quantity to exclude Zeno behavior.
It is obvious that the left side of (18) is positive and bounded by a finite number K. Here, we assume that the left side is always smaller than a finite number under all the constraints.
To determine the system's throughput capacity level attainable under the employed scheduling scheme, we assume the allocated multicasting period to include a sufficient number of time slots to accommodate the multicast load targeted for this period, so that the required time frame duration is upper bounded by a finite duration T max.
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We design truthful mechanisms when the agents' type sets are upper-bounded by a finite value.
We conclude that the model usually does not converge to a fixed point, but instead it is bounded by a time-dependent finite region.
In this paper, it is shown that this kind of representation can be obtained for a very wide class of sound propagation problems above or within layered media: a half-space bounded by a locally reacting surface, a finite layer of porous medium, a porous medium with depth-varying porosity, a thin elastic plate; wave propagation in shallow water with an impedance bottom.
The problem statement consists of calculating means in a finite region bounded by a transducer surface as well as by a perfectly absorbing surface, respectively.
Theorem 1 Let G be a finite domain bounded by a Dini-smooth curve Γ.
Corollary 2 Let G be a finite domain bounded by a Dini-smooth curve Γ and φ n be the image of the polynomial P n defined in G under the inverse Faber operator.
Then the inverse Faber operator F 1 : E M ( G ) → H M has a finite norm and ∥ ( F 1 f ) ∥ H M ( D ) ≤ ∥ F 1 ∥ ∥ f ∥ E M G G ). Corollary 1 Let G be a finite domain bounded by a Dini-smooth curve Γ and P n be the image of the polynomial φ n defined in the unit disk under the Faber operator.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com