quasigeodesic

基本解释拟测地线

网络释义

1)quasigeodesic,拟测地线2)quasi-hyperbolic geodesic,拟双曲测地线3)virtual trapline,虚拟检测线4)Pseudoterranova decipines,拟地新线虫5)Virtual Horizon,虚拟地平线6)geodesic,测地线

用法和例句

Let γD be a c-quasigeodesic.

设D Rn是一凸域并且是一致域,证明了:若γ是D中一条c-拟测地线,则对任意z1,z2∈γ,有l(γ(z1,z2))≤a1|z1-z2|,其中a1=a1(a,c)是仅与a和c有关的常数。

Here k_D(x_1,x_2) is the quasihyperbolic metric in D,H_D(x_1,x_2)= 1/2log(1+(1(γ)/(d(x_1,■D))))(1+(1(γ)/(d(x_2,■D)))),whereγis the quasi-hyperbolic geodesic which joins x_1 and x_2 in D and l(γ) is the Euclidean length ofγ.

设D是R~2中的Jordan域,本文证明了D是b-John圆当且仅当存在常数c≥1,对任意的x_1,x_2∈D,有k_D(x_1,x_2)≤cH_D(x_1,x_2),这里kD(x_1,x_2)表示D中x_1与x_2二点的拟双曲距离,H_D(x_1,x_2)=1/2log(1+(l(γ))/(d(x_1,■D)))(1+(l(γ))/(d(x_2,■D))),其中l(γ)为D中连结x_1与x_2二点的拟双曲测地线的欧几里德长度。

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