We introduce a novel algorithm to approximate the medial axis of a polyhedron with a dense set of medial points, with a guarantee that each medial point is within a specified tolerance from the medial axis.
The proposed algorithm converges to a solution which is within a specified tolerance from the nearest local minimum (in special cases global minimum) in a finite number of iterations.
The sequence of problems is repeatedly solved, either until the optimal integer solution is found, or else until there is no improvement within a specified tolerance, in which case one switches to a branch and bound method.
To result in a passed test, the set of all obtained frequencies was verified to match specified corner frequencies of the noise reduction sub-bands within a specified tolerance.
After a finite number of iterations, the bounds converge to a single solution, within a specified tolerance.
Multilevel optimization is used to drive the optimality conditions and their estimated errors below a specified tolerance.
Flux variability analysis (FVA) is often used to calculate the amount of flux a reaction can carry while still simulating the maximum flux through the objective function subject to a specified tolerance.
The queried peaks were classified as annotated on the basis of whether the chemical shift difference in each dimension between the observed peak and the peak in the database was less than a specified tolerance value.
Respondents of non-Dutch origin (both men and women) specified tolerance of dress codes and a need for secure sport environments.
Therefore, their solutions are equal to within the specified tolerance of the nonlinear solver.
Evaluation of the effect of fixture layout on the dynamic response of thin-walled work-piece is a critical measure to determine whether the designed fixture can meet the requirements for the tightly specified tolerance of the part.
