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The convergence of the algorithm has been proved, and the experimental results demonstrate the availability of the algorithm.
Then we describe the implementation and the availability of the algorithm.
Some numerical results demonstrate the feasibility and availability of the algorithm in Sect. 5.
A complete comparison among techniques and methods is difficult due to the lack of many complementary metrics, the lack of availability of the algorithm's implementation or both.
Further, there needs to be some indication of "public" availability of the algorithm.
Advantages of this approach include its basis on decision trees and the availability of the algorithm in many different open source software packages including R. In fact, the Willows package was designed specifically for tree-based analysis of SNP data (Zhang et al., 2009).
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However, the computational complexity in developing an optimal stope layout has been a reason for limited availability of the algorithms offering solution to this problem.
Validity and availability of the presented algorithm were investigated by applying the algorithm to the base drilling fluid (without cuttings).
To demonstrate the robustness and availability of the calibration algorithm, simulations are conducted.
We can see that even if it takes about seventeen minutes to solve problem (P) of size ((n,N = 3,1500)), the adaptive division takes less time required by bisection for each N, which confirms the feasibility and availability of the proposed algorithm.
Although bi-level programming has been used in various applications, one of the essential conditions for applying bi-level programming to solve designed problems is the availability of the efficient algorithms.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com