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A nonlinear limit-state function example was provided to validate the accuracy and efficiency of the hybrid algorithm by comparing the algorithm's solution with the exact solution of the example.
The total network power converges to a value of 135 mW on the 68th iteration whereas the centralized algorithm's solution requires 65 mW total network power.
Each number x with subscript y in the sequence of each algorithm's solution represents the yth request is put into the xth idle network, and x = 0 means the yth request is not put into any idle network.
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Given the complexity and often real-time application of this sort of intelligence, it may be unnecessary and indeed impossible for human professionals to verify the veracity of an algorithm's solutions.
It illustrates that the company's solutions and the proposed algorithm's solutions are different in a given confidence interval and proposed algorithm's solutions are better than company's solutions.
Numerical results for these strenuous test problems provide evidence for the algorithm's improved solution quality and accuracy.
The model's solution algorithm combines a mixed-integer linear program and a new "iterative switching" heuristic.
Moreover, with adding some more modifications to the Marchal's algorithm, this solution was speeded up.
The parameter vertex solution algorithm is compared with Deif's solution, the eigenvalue inclusion principle and the interval perturbation method in numerical examples.
After establishing the mathematical model, using the robot posture theory, the transition matrix theory and the principle of vector operations, using transition matrix pose algorithm, paper solves posture parameter's solution of two pipelines such as relative distance and relative angles.
As a result, Shirshov's algorithm gives a solution to the above problem for Lie algebras.
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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