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However, such problems cannot contain problem (1) because the function M is assumed to be bounded from below.
Local existence of such a solution was proved in [23] (the first three steps in the proof of Theorem 6) for a little more general problems which contain Problem (1) as a special case, by applying Galerkin's method and the contraction mapping principle.
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Other works on geometry ascribed to Heron are Geometrica, Stereometrica, Mensurae, Geodaesia, Definitiones, and Liber Geëponicus, which contain problems similar to those in the Metrica.
Even worse, the data may contain problems that can be resolved only through time-consuming revision or repeat data collection.
The creation of ethics programs in executive branch agencies will give employees who may feel unable to speak out about bad actors a chance to contain problems without creating public firestorms.
But despite its success in the relatively contained problem of acid rain in the United States, cap and trade has proved less useful in other environmental problems and has gotten off to a troubled start in Europe.
WITH an estimated $2 billion a week being wagered in Asia alone on football, the notion that match-fixing in the sport was a small, contained problem always strained the imagination.
As late as August the favorite buzzword of financial officials was "contained": problems in subprime mortgages, we were assured, wouldn't spread to other financial markets or to the economy as a whole.
Out of the many incidents in which Peter figures prominently in the Gospels, three should be separately considered; for each is important, contains problems of interpretation, and is controversial.
The DM subscale contained problems of internal consistency which were solved by removing five items.
The first set is a recently proposed SMD test set, which contains problems with controllable complexities, and the second set contains standard test problems collected from the literature.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com