The meaning of SPHERICAL COORDINATE is one of three coordinates that are used to locate a point in space and that comprise the radius of the sphere on which the point lies in a system of concentric spheres, the angle formed by the point, the center, and
Without loss of generality, we assume that the sphere has radius 1 and that the spring is placed at the point A on the equator at an angle φ measured clockwise from the z axis in the y–z plane, see Fig. 10. Since the spring is assumed to be linear with zero free length, a ...
New integral formulas for upward/downward continuation of gravitational gradients onto gravitational gradients are derived in this article. They provide more options for continuation of gravitational gradient combinations and extend available mathematical apparatus formulated for this purpose up to now. The st...
We also found that the most preferred radius differed among strains. Notably, the preference was independent of the volume of substrates, suggesting that D. suzukii uses the surface curvature as a cue for its oviposition site selection. These results provide an additional explanation for why D. ...
are used to determine these coordinates. we will learn the conversion here in this article. the radius is measured from a fixed origin, the polar angle is measured from an imaginary point near to the exact location and the azimuthal angle on a reference plane passes through the origin. the ...
such as n(r) and n(r - 1), as r→∞, or by constructing Padé approximants which, in a sense, provide a continuation of the known (finite) series beyond its normal range of validity up to its radius of convergence — thus locating and examining the nature of the relevant singularity...
Abstract The recently developed spherical nanoindentation stress–strain protocols were employed in this study to investigate systematically the anisotropic elastic and yield response of the individualα-βcolonies in a Ti–6Al–4V alloy. This was accomplished by indenting selected individual colonies with ...
A sphere is the 3D version of a perfect circle - it's a shape with a consistent curve all the way around and a constant radius. So a spherical mirror is a mirror that has a consistent curve and a constant radius of curvature - a sphere-shaped mirror. Aberration...
Three different definitions of collapse strengths (extracted from the radius vs. time curves) are examined and compared with the chemical output of various species. A mathematical formula is established to estimate the chemical output as a function of the collapse strength; thus, the chemical ...
Accordingly, a proper choice of a processing method is of paramount importance when analyzing substantially non-linear dependencies of flame radius on time. Results of present work indicate that the phenomenological Markstein equation, which is linear with respect to flame curvature, fits the ...