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For the single-link case, we formulate the problem as a non-linear programming problem, and for under reasonable assumptions, we prove the objective function is convex.
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With noise disturbances, the complex dynamic characteristics of chaos were also analyzed, and proved the objective existence of chaos.
Then we prove that the objective function depends continuously on the design function.
We prove that the objective function under consideration is supermodular and monotonic, which guarantees near-optimal solutions for the greedy method.
Using the similar method in Appendix 2, we can prove that the objective function is a quasi-convex function of TTWR.
Analysis results also prove that the objective motions of nodes on the teeth are three-dimensional vibrations.
7 We could not prove that the objective quality of key variables such as compressions or ventilations improved when video communication was added to t-CPR (Table 1).
The paper has the objective to prove the technical, energetic and economic feasibility of this technology, especially for hot and dry areas, with respect to other alternative air cooling configurations.
For safety objectives we prove the existence of pure finite-memory winning strategies.
It is proven that the objective function is strictly continuous and differentiable with respect to the piecewise interpolation.
The algorithm convergence can be easily proved, since the objective is monotonically increasing at each iteration.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com