Exact(5)
The last example proves that the algorithm can be used as a post-processing tool to capture dynamic crack branching from a damage distribution image only.
Simulation calculations of two concrete filter designs for single cavity and three cavities prove that the method is feasible.We also proves that the algorithm is highly accurate though the examples data analysis of difference curves with incidence angle from 0° to 30°.
The validation proves that the algorithm outperforms the common neighbor, Jaccard's, preferential attachment and provides validation on some intuitive observations.
The coupling constraint (varepsilon _i^{(s)}={{varvec{e}}}_i^{rm T}{{varvec{A}}}{{varvec{E}}}_i^{(s)}) is satisfied after convergence, which proves that the algorithm performs well.
In this case the difference between corrected and true values is nearly zero (see Figure 6B) which proves that the algorithm is able to correctly estimate the spill-over contributions from all voxels if the true boundary is known.
Similar(55)
Our theoretical analysis proves that the algorithms we use are computationally tractable, and our experimental results prove that they are efficient enough to be used in situations in which the workload is very high.
We prove that the algorithm achieves constant message and linear time complexity.
Meanwhile, we prove that the algorithm converges with probability one, which means that an accurate clock synchronization is achieved.
We prove that the algorithm always succeeds in constructing a Lyapunov function if the system possesses an exponentially stable equilibrium.
We propose a new family of valid cuts and prove that the algorithm is guaranteed to converge to optimality.
We prove that the algorithm achieves a linear speed-up over the left-to-right algorithm on uniform AND/OR trees when the number of processors used is close to the height of the input tree.
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