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Most structural optimization methods are based on mathematical algorithms that require substantial gradient information.
Most optimization problems of TMD are solved by either numerical iteration technique or conventional mathematical methods that require substantial gradient information.
Most engineering optimization algorithms are based on numerical linear and nonlinear programming methods that require substantial gradient information and usually seek to improve the solution in the neighborhood of a starting point.
Portions of the trail in Tennessee were used on a study on trail maintenance for the Trail's "uniform environmental conditions and design attributes and substantial gradient in visitor use".
To account for the substantial gradient of rainfall and human impact [22] that influences pressures on reserves across the Amazon, we designated two distinct regions, which we examined separately.
This means there is a substantial gradient of risk for relatives across a number of these features.
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It has been found that, during these two particular storm events, substantial gradients did occur in Europe although they were not so pronounced as in the American sector.
There were substantial gradients for both income and poverty in cervical cancer incidence.
There were substantial gradients in smoking rates observed across many of the indicators included in this study.
In contrast, the longer diffusion distances in muscle fibers can cause substantial gradients, not only in the activation level but also of ATP, ADP, and Pi concentrations, making interpretations at the actomyosin level complex.
We were also limited in terms of our ability to be proximate to some closed-down roads, given logistics of sample deployment, which may have contributed to detection problems given substantial gradients of some pollutants as a function of distance from the roadway.
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