For example, using Monaghan's popular cubic spline kernel the temperature at position \ mathbf { r } depends on the temperatures of all the particles within a radial distance 2h of \ mathbf { r }.
42.
Where I'_ 0 is the irradiance at the center of the pattern, q represents the radial distance from the center of the pattern, and \ sigma is the Gaussian RMS width ( in one dimension ).
43.
In this case, there is no angular dependence and the amplitude depends only on the radial distance i . e . \ Psi ( \ vec { r }, t ) \ rightarrow u ( r, t ).
44.
:The co-moving radial distance ( or reception distance )-- this is the tape measure distance if we could somehow at this cosmic instant measure the distance to the object when the light we see arrived here.
45.
Since Rayleigh waves are confined near the surface, their in-plane amplitude when generated by a point source decays only as { 1 } / { \ sqrt { r } }, where r is the radial distance.
46.
First seen in the gap between the C ring and D73, the structure was found during Saturn's 2009 equinox to extend a radial distance of 19000 km from the D ring to the inner edge of the B ring.
47.
Where " g " is a magnitude scaling constant, i . e ., the amplitude of potential, \ mu is the Yukawa particle mass, " r " is the radial distance to the particle.
48.
In general, such a problem is very difficult to solve, but in this particular case, it can be solved by a skillful guess due to the square dependence of the tidal potential on the radial distance " ?d"
49.
At a radial distance r from the center of the bubble, the varying liquid properties are pressure P ( r, t ), temperature T ( r, t ), and radially outward velocity u ( r, t ).
50.
The use of to denote radial distance, inclination ( or elevation ), and azimuth, respectively, is common practice in physics, and is specified by 80000-2 : 2009, and earlier in ISO 31-11 ( 1992 ).
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