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There was agreement in marking a strut if the 2D Euclidian distance was less than a tolerance, Tol-1 = 95 µm.
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The updated target location is utilized in the next iteration until the magnitude of Δ x becomes less than a prescribed tolerance.
Efficient convergence is maintained by specifying a large global Courant (CFL) number while reliability is improved by limiting the local CFL number such that the solution change in any cell is less than a specified tolerance.
Thus, the iteration is terminated when the relative change ( {leftVert {widehat{mathbf{p}}}^{(i }-{widehat{mathbf{p}}}^{left(i }-{widehat{mathbf{p} ) is less than a specified tolerance, where ‖ ⋅ ‖ F denotes the Frobenius norm.
If the sum of squared errors was less than a desired tolerance value, then the sampled parameter values were accepted.
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.
We performed the outer optimization in Eq. (6) using the enhanced Scatter Search (eSS) algorithm from SSmGO (Scatter Search for Matlab Global Optimization) toolbox [ 16- 18], in which we terminated the parameter search when the objective function improved less than a relative tolerance of 10−5 for 50 successive iterations.
The pattern search terminates when the search step size is less than a pre-specified tolerance.
The amount of adjustment in each cycle is kept less than a given shape tolerance.
Our algorithm delivers a single cubic T-spline that deviates from the given contours less than a user-specified tolerance, measured via the so-called discrete Fréchet distance Eiter and Mannila (1994) and is C2 everywhere except from a finite set of point-neighborhoods.
The process is terminated when the change in function value is less than a pre-determined tolerance (10-6).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com