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The purpose of this paper is to prove existence of optimal design for the new model.
Finally, we prove existence of such a measure μ for noncontinuous drifts.
We prove existence of the minimal partition and some extremality conditions.
In the paper, we prove existence of the special auxiliary charges and currents that satisfy the continuity equations identically.
We prove existence of Nash equilibria in turn-based stochastic games, and epsilon-Nash equilibria in several restricted classes of more general recursive games, for all epsilon>0.
We perturbatively prove existence of the thermodynamic limit for the free energy density and the moment functions.
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Archives|ARCTIC LAND IN MIRAGE.; British Explorers Think It Proves Existence of Long-Sought Area. Long-Sought Area
ARCTIC LAND IN MIRAGE.; British Explorers Think It Proves Existence of Long-Sought Area. Long-Sought Area
The results proved existence of characteristic neural responses to continuously presented Shepard's tones.
That proved existence of β-glucosidase activity.
\end{aligned} $$\end{document} Note that the threshold condition is a necessary but not sufficient condition for proving existence of a 2D bump.
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