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These classes are shown to be complete metric spaces with respect to the corresponding metrics.
An overview of complex network theory is presented, with examples of its corresponding metrics and multiple scales.
An explicit investigation on the fading effects due to heterogeneous cascading and corresponding metrics evaluation is essential.
Inspired by the social dimensions and corresponding metrics suggested in [23] we propose an extended framework to compare the topology of the intra-network of each cluster.
We study asymptotic behaviors near the boundary of complete metrics of constant curvature in planar singular domains and establish an optimal estimate of these metrics by the corresponding metrics in tangent cones near isolated singular points on boundary.
Mean plot values for the three independent variables (H70, H10, H95) at the highest pulse density were regressed against corresponding metrics determined at all lower pulse densities, for both scenarios.
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The corresponding performance metrics are selected as root-mean-square (RMS) of sprung mass acceleration and expectation of generated power.
The color values of silver, white, green, yellow, and red with corresponding cost metrics are indicated in [4].
Several examples that this is possible are presented in Section 5. Therefore, in some applications, different convex approximations of the corresponding performance metrics may have to be found.
The corresponding throughput metrics are τ 1 eaf = q 1 eaf × P 1 eaf → relay = q × P 1 eaf → relay, (28) τ relay = q relay × P relay → sink.
Fifthly, the performances of these optimum closed-form solutions in their corresponding design metrics are at least as good as those of the centralized IA-equivalent PSVD design.
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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