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However, as shown in Figure S2 the shape of the clustering series curve generally holds at all levels of subsampling, and it quickly converges to the shape and values of the full data set once 20 30% or more of the data are used.
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As the reader can see in Fig. 7, the phase-field evolution equation for the classical model ideally converges to the prescribed equilibrium shape, whereas double peaks at the sharp corners are observed in crystalline anisotropy, utilizing the natural model, Fig. 7.
For the case of T F=1.25 (Fig. 5 b), the optimized pulse in this paper converges to the analytically derived pulse shape with the optimal TFL in [19].
Then through an adaptive process the neural network grid is converged to the sampled shape.
Significant shape oscillations accompanied by path transition are observed as the second-mode oscillation frequency converges to the frequency of the initial shape oscillations.
It starts with a stability analysis and gradually modifies the structural properties to take account of inelasticity and eventually converges to the final buckling factor and mode shape.
The value of the initial amplitude (IAo) is critical and will determine the shape of the damping pattern obtained and whether it converges to the actual damping values.
Results show that this technique is capable of converging to the optimum aerodynamic shape of rotor blades with minimum inviscid rotor torque coefficient under fixed thrust constraint.
By comparing Figure 3(b) with Figure 3(a), we observe that the graph of the rational cubic FIF in the subinterval [ x 7, x 8 ] converges to a convex shape as ξ 7 → 0 +, and the changes in other intervals are negligible.
For generic input data, both schemes fail to converge to the hyperbolic or elliptic limit shape suggested by the geometry of the input mesh: the limit shape is a function of the valence of the extraordinary point rather than the mesh geometry.
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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