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Intersection of the surface with the slip bands formed due to production and movement of dislocations caused by excessive application of stress leads to initiation of fatigue.
Bonds are drawn from this sphere to all connected atoms in front of this atom as lines originating from the point of intersection of the surface of the sphere and the bond for the back atom and terminating at the atomic center for the front atom.
defines D q (t) as a level (or contour) curve obtained from the intersection of the surface Φ=Φ(D,t) with the plane Φ=q, as illustrated in Figure 8. Figure 8 D q ( t ) as a level curve of the distribution function Φ ( D, t ).
As shown in Figure 3, by assuming three points, namely, the trench axis at the deepest location (O), the intersection of the surface slope and the back-stop interface (A), and the intersection of the décollement and the back-stop interface (B) (Figure 3), we could define the slope angle α [= atan (Height A/Distance A)] and the décollement dip angle β [= atan (Height B/Distance B)].
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For this reason, if the surfaces (varTheta_{1}) and (varTheta_{2}) are crossed within (varOmega_{text{d}}), the maximum value of the criterion (4) will always be at the line (W = varTheta_{1} cup varTheta_{2}) of intersection of the surfaces (varTheta_{1}) and (varTheta_{2}).
The intersections of the surface with planes parallel to the xz and yz planes are hyperbolas.
Intersections of the surface(s) with planes parallel to the xy and xz planes produce hyperbolas.
In either case, intersections of the surface by planes parallel to the axis of revolution are ellipses, while intersections by planes perpendicular to that axis are circles.
In order to avoid inverting or producing self-intersection of the surface S, the magnitude h must be less than the distance to the focal point ( overrightarrow{f} ) which limits grain growth or movement.
The intersection of these surfaces gives the complete model of the tool.
(A meridian is a curve on the surface of a sphere that is formed by the intersection of the sphere surface and a plane passing through the centre of the sphere).
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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