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Any Nash-implementable social choice rule must satisfy a condition of "monotonicity".
Here, we refine and analyze a subclass of such schemes, which satisfy a condition we refer to as strong u-consistency.
During a court hearing Tuesday, McCourt's television benefactor lined up against him when a Fox lawyer sided with M.L.B. against an auction of the team's TV rights to satisfy a condition of interim financing.
Using the partial Fourier transform on K, we prove that a bi-invariant operator P on G admits a fundamental solution on U × K (with U open subset of H) if and only if its partial Fourier coefficients satisfy a condition of slow growth and each one admits a fundamental solution on U. Hence we deduce an explicit necessary condition for the existence of a global solution for P on G.
Even the externally guided movement of the paralyzed left arm would seem to satisfy a condition of this weak sort.
Obviously, the coefficients of f and G must satisfy a condition similar to inequality (2.4).
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It is assumed that the random distribution of these microstructures in a representative volume satisfies a condition of perfect mix.
Meanwhile, the coefficient matrix satisfies a condition that guarantees the fast approximation by the shift-invert Arnoldi method.
In particular, the uniqueness result for a mild solution is obtained when f satisfies a condition weaker than Lipschitz condition.
A co-assignment probability can also be interpreted as the probability that the sample partition satisfies a condition.
The weight we will consider satisfies an condition; that is,, if there is a positive constant such that (1.3).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com