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Engineers define an ellipse in which they can confidently land.
Engineers define an ellipse in which they can confidently put down.
These (Sigma ) elements define an ellipse in a two-dimensional space representing the area where the real feature should be located, given a fixed probability as shown in Fig. 2. Fig. 2 The figures show two generic PDF where we can see that, given a probability, we can find a plane that intercepts the PDF forming an ellipse.
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Each harmonic is weighted by four Fourier coefficients (FCs) defining an ellipse in the x, y plane: An, Bn, Cn and Dn.
For positive-definite matrix, A, the equation xTAx = 1 defines an ellipse where the length of each axis from the origin is the inverse square-root of the eigenvalues of A[14].
If e > 1, this equation defines a hyperbola; if e = 1, it defines a parabola; and if e < 1, it defines an ellipse.
Any harmonic corresponds to four coefficients (FC): An and Bn for x, and Cn and Dn for y, defining an ellipse in the xy-plane.
Each harmonic corresponds to four coefficients: two for x, and two for y, defining an ellipse in the xy-plane.
To overcome this, Kik and Piotrowski proposed a method to define an equivalent ellipse for each separate contact zone by setting the ellipse area equal to the non-elliptic contact area and the ellipse semi-axes ratio equal to length to width ratio of the patch.
To this end, a numerical procedure was designed and implemented starting from a discretization of the crack front (defined as an ellipse) and considering a sort of crack advance on the basis of the Paris law, governed by the stress intensity factor (SIF) obtained by Newman and Raju.
Actually, the ellipse is similar: the foci and vertices (or the sum of the distances to the foci, which determines the vertices) are all that is needed to define the ellipse.
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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