Sphere, vortex methodMotivated by the needs of vortex methods, we describe three different exact or approximate solutions to the Poisson equation on the surface of a sphere when the forcing is a Gaussian of the three-dimensional distance, 2 ψ = exp ( - 2 2 ( 1 - cos ( θ ) ) - C...
10. An inflation model that driven by rolling tachyon is investigated and its equation of density perturbations is derived. 我们研究了滚动快子驱动宇宙暴涨的可能性,导出了快子暴涨下的密度扰动方程。 11. The measurements were correlated with the Tait-type equation for density and the Hard-sphere scheme...
It is shown that the Percus–Yevick approximation can be solved analytically for a potential consisting of a hard core together with a rectangular attractive well, provided that a certain limit is taken in which the range of the well becomes zero and its depth infinite. The results show a ...
The equation of the sphere of radius r and centre (x1,y1,z1) is (x−x1)2+(y−y1)2+(z−z1)2=r2. The volume of the sphere is 43πr3 and its surface area is 4πr2. The object is symmetrical about both the axes. All t...
Our surface is a sphere; this coordinate system was literally built for such surfaces. Ours is {eq}\begin{align*} x^2 + y^2 + z^2 &= 4 \ \rho^2 &=...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question ...
Thus if we assumed that all matter in the universe was distributed on the surface of a sphere, such that the wave-centers completely filled this surface, then this means that the Out-waves of any more distant matter would not directly contribute to our In-waves as they must flow through ...
(Astron.)the algebraic or numerical expression of the magnitude of the inequalities in a planet's motion that remain after the inequalities of a short period have been allowed for. See also:Secular Webster's Revised Unabridged Dictionary, published 1913 by G. & C. Merriam Co. ...
process for a wide range of collision velocities normal to the surface, thus probing the charge-transfer process in different atom-surface distance ranges... M.,Maazouz,A.,... - 《Physical Review B》 被引量: 53发表: 1997年 Rate coefficients for the H + NH sub 3 reaction over a wide...
(2) is defined as the ratio of the surface area of a sphere to the surface area of a particle having the same volume. For a true sphere, the sphericity is thus equal to 1, and for non-spherical particles its value falls between 0 and 1 i.e., 0 < ϕ ⩽ 1. The drawback ...
Find the area of the surface below the plane with vector equation r(u,v) = \langle u+v,2-3u,1+u-v \rangle; \quad 0 \leq u \leq 2, -1 \leq v\leq 1 Identify the surface for the given vector. r(s, t) = 3t...