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Analytical and numerical solutions of similarity form are obtained for (assumed) inviscid flow in the generating plane of an axi-symmetric conical hydrocyclone below the level of the vortex finder.
We used 100 plane waves with frequency vectors at the vertices of a regular polygon inscribed in a circle, and random Gaussian weights (see the Appendix); with respect to the unit of length displayed on the x- and y-axes, the wavelength of the generating plane waves is (1/3).
Here we extend this work in several directions: We added new strategies for generating plane hypotheses.
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Two co-localized rectangular piezoceramics are used to generate plane guided waves at 180° and 135° incidence.
Continuous waves with horizontal wave vector k on the sea surface generate plane waves in the half-space.
Two co-localized slender rectangular piezoceramics are used to generate plane guided waves within-the-bondlines and non-contact measurement is performed using a 3-D laser Doppler vibrometer (LDV) to extract the required information for evaluation of the bonding conditions.
These active sensors allow to generate plane hypotheses directly from the depth information.
As described in the beginning of Section 3.1, newly generated plane hypotheses then have to compete with previously selected ones.
Interest points are tracked in image pairs and randomly selected points are used to generate plane hypotheses represented by the 2D projective transformation homography.
To generate plane hypotheses Vincent et al. [16] use groups of four points which are likely to be coplanar to compute the homography.
Using femoral DICOM datasets, reference planes were generated and plane-to-plane measurements were conducted on 3D surface rendered models.
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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