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Based on initial data, there had been two quarters of decline, with output shrinking at a rate of 1.8percentt in the fourth quarter of 1990 and 2.9percentt in the first quarter of 1991.
Based on initial data supplied by the 50 states and the District of Columbia for the first six months of 2012, 25 states reported increases, 17 showed a decrease, and eight states and the District of Columbia reported no change.
Libby Holman, a Purdue Pharma spokeswoman, said that based on initial data and reports, the company is "cautiously optimistic" that the reformulation will eventually prove less susceptible to abuse.
We let C denote all of different positive constants which depend only on initial data.
The constants can depend on initial data and the constant T from the Proposition 3.1 only.
We let C denote all of different positive constants that depend on initial data.
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In this work, we assume the existence of the solution and its continuous dependence on the initial data under smooth enough assumptions on the initial perturbation.
In this paper, we concentrate on the initial data transformation and its effect on the prediction of surface roughness in high-torque face milling operations.
Compared with [20], Theorem 1.1, the symmetry hypothesis on the initial data is replaced by a condition on the trajectory.
This approach is restricted to the case when the collision frequency does not depend on the macroscopic field, but no smallness on the initial data is required.
For the second point, finer tools on the JKO scheme, together with stronger assumptions on the initial data, can be used.
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