hyperboloid model造句

例句与造句

1. This model is related to the hyperboloid model as follows.
2. Gray shows where the hyperboloid model is implicit in later writing by Poincar?
3. It is an isometry, since evaluating along reproduces the definition of the distance given for the hyperboloid model.
4. Recounting lectures of Weierstrass, he there introduced the hyperboloid model described by " Weierstrass coordinates ".
5. According to Jeremy Gray ( 1986 ), Poincar?used the hyperboloid model in his personal notes in 1880.
6. It's difficult to find hyperboloid model in a sentence. 用hyperboloid model造句挺难的
7. The Poincar?disk model, as well as the Klein model, are related to the hyperboloid model projectively.
8. In the early years of relativity the hyperboloid model was used by Vladimir Vari
   ak to explain the physics of velocity.
9. Wilhelm Killing also described the hyperboloid model in 1885 in his " Analytic treatment of non-Euclidean spaceforms ".
10. The hyperboloid model or Lorentz model employs a 2-dimensional hyperboloid of revolution ( of two sheets, but using one ) embedded in 3-dimensional Minkowski space.
11. The Beltrami Klein model is obtained from the hyperboloid model by rescaling all vectors so that the timelike component is 1, that is, by projecting the hyperboloid embedding through the origin onto the plane.
12. Since the intrinsic lines ( geodesics ) of the hyperboloid model are the intersection of the embedding with planes through the Minkowski origin, the intrinsic lines of the Beltrami Klein model are the chords of the sphere.
13. Other metric spaces occur for example in elliptic geometry and hyperbolic geometry, where distance on a sphere measured by angle is a metric, and the hyperboloid model of hyperbolic geometry is used by special relativity as a metric space of velocities.
14. The Klein disk ( K, in the picture ) is a gnomonic projection of the hyperboloid model ( Hy ) with as center the center of the hyperboloid ( O ) and the projection plane tangent to the nearest point of the hyperboloid.
15. In the hyperboloid model ( which is the most convenient for analytic geometry ), a plane consists of the intersection of the hyperboloid with a hyperplane passing through the origin .  talk ) 04 : 05, 19 January 2009 ( UTC)
16. He begins by analysis of " the tip of a four-dimensional velocity vector " and notes Minkowski's equations where " both hypersurfaces provide a basis for a well-known model of non-Euclidean space of constant negative curvature, popularized by Helmholtz . " In fact it is known as the hyperboloid model of hyperbolic geometry.
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