oblate spheroidal造句

• The notation for the oblate spheroidal functions reflects this relationship.
• The shape of Earth is approximately oblate spheroidal.
• This theory gives the solutions to the Maxwell equations for prolate and oblate spheroidal particles.
• This rotation is producing an equatorial bulge, giving the star a pronounced oblate spheroidal shape.
• Asymptotic expansions of angular oblate spheroidal wave functions for large values of c have been derived by M黮ler.
• As a result, it has a pronounced equatorial bulge, causing the star to assume an oblate spheroidal shape.
• "' Oblate spheroidal coordinates "'are a three-dimensional semi-axes are equal in length.
• Oblate spheroidal coordinates are often useful in solving partial differential equations when the boundary conditions are defined on an oblate spheroid or a hyperboloid of revolution.
• An alternative and geometrically intuitive set of oblate spheroidal coordinates ( ?, ?, ? ) are sometimes used, where ? = cos ?.
• The product of the three solutions is called an " oblate spheroidal harmonic " and the general solution to Laplace's equation is written:
• This two-fold degeneracy in the sign of " z " is evident from the equations transforming from oblate spheroidal coordinates to the Cartesian coordinates
• Figure 3 : Coordinate isosurfaces for a point P ( shown as a black sphere ) in the alternative oblate spheroidal coordinates ( ?, ?, ? ).
• Because of the oblate spheroidal shape of this star, the polar region is at a higher temperature than the equator 23, 000 K versus 17, 600 K respectively.
• Unlike the analogous oblate spheroidal coordinates, the prolate spheroid coordinates ( ?, ?, ? ) are " not " degenerate; in other words, there is a unique, reversible correspondence between them and the Cartesian coordinates
• In the non-relativistic limit where " M " ( or, equivalently, " r " " s " ) goes to zero, the Kerr metric becomes the orthogonal metric for the oblate spheroidal coordinates
• As is the case with spherical coordinates and spherical harmonics, Laplace's equation may be solved by the method of separation of variables to yield solutions in the form of "'oblate spheroidal harmonics "', which are convenient to use when boundary conditions are defined on a surface with a constant oblate spheroidal coordinate.
• As is the case with spherical coordinates and spherical harmonics, Laplace's equation may be solved by the method of separation of variables to yield solutions in the form of "'oblate spheroidal harmonics "', which are convenient to use when boundary conditions are defined on a surface with a constant oblate spheroidal coordinate.
• As is the case with spherical coordinates, Laplaces equation may be solved by the method of separation of variables to yield solutions in the form of "'oblate spheroidal harmonics "', which are convenient to use when boundary conditions are defined on a surface with a constant oblate spheroidal coordinate ( See Smythe, 1968 ).
• As is the case with spherical coordinates, Laplaces equation may be solved by the method of separation of variables to yield solutions in the form of "'oblate spheroidal harmonics "', which are convenient to use when boundary conditions are defined on a surface with a constant oblate spheroidal coordinate ( See Smythe, 1968 ).
• At present it seems that only approximate solutions modeling slowly rotating fluid balls are known . ( Slowly rotating fluid balls are the relativistic analog of oblate spheroidal balls with nonzero mass and angular momentum but vanishing higher multipole moments . ) However, the exterior of the Neugebauer Meinel disk, an exact dust solution which models a rotating thin disk, approaches in a limiting case the GM ^ 2 = cJ Kerr geometry.