查询词典 arc hyperbolic function

An extended hyperbolic mild-slope equation, which can take such terms as wind input, bottom friction and nonlinearity of wave into account, here has been deduced into a parabolic one in the form of a series of governing equations described with complex amplitude. It became a complete wave model when integrated with corresponding physical and imaginary boundaries, and can be solved through the improved Crank-Nicholson or the well known Alternating Direction Implicit difference method, both of which can accelerate the convergent speed , expand limitation of the mathematical method and improve the quality of the solution.

本文基于综合考虑底摩阻、风能输入及非线性影响的推广双曲型缓坡方程，将其进行转换，产生一个演变方程，其复振幅控制方程为抛物线性，并采用ADI差分格式、改进的Crank-Nicholson格式及相应的物理和虚拟边界条件进行求解，以提高数值模拟的适用性、数值计算的稳定性、收敛速度及精度。

The OSIRIS telescope is a Three Mirror Anastigmat consisting of conic surfaces: a concave hyperbolic primary, a convex parabolic secondary and a concave spherical tertiary.

OSIRIS 望远镜是一个三反射系统，由一个凹双曲面主镜，一个凸抛物面次镜和一个凹球面三镜。次镜 M2在中间，主镜 M1和三镜 M3呈离轴配置。

Takahashi also makes observatory telescopes which include: 350mm hyperbolic astrographs, 300 and 400mm Cassegrains, 200, 250 and 300mm triplet apochromatic refractors and the large EM-3500 mounts to carry them.

高桥也制造天文台用的350mm双曲面镜，300和400mm的Cassegrains， 200，250和300mm的三片APO折射镜以及支撑它们的大型EM-3500赤道仪。

We investigate mainly solving the hyperbolic and parabolic equations by using the MQ quasi-interpolation. The underlying idea of our means is that: employing the derivative of the MQ quasi-interpolation to approximate the spatial derivative of the PDE, while the approach of the temporal derivative of the PDE is used a finite difference.

我们主要就MQ拟插值在双曲型方程和抛物型方程中的应用进行了研究，其基本思路是：利用MQ拟插值的导数逼近微分方程的空间导数，而微分方程的时间导数则采用有限差分逼近。

Finally a generalized fuzzy hyperbolic model is proposed, which is proven to be a universal approximator, and two identification algorithms are derived.

最后提出一种广义模糊双曲正切模型，并证明了此模型具有全局逼近性。

Meanwhile, because the boundary of a Voronoi cell contains parabolic or hyperbolic curves in the Euclidean metric, it is difficult to compute the Voronoi cell area in practice.

同时，在欧氏米制中，由于Voronoi区的边界包含抛物线或双曲线，因而Voronoi区的面积很难被计算。

Secondly, for the boundary correspondence of affine stretch on hyperbolic regions, we prove that the above conclusion is also true. Finally, we pose a sufficient and necessary condition for the same conclusion.

最后利用退化的四边形序列，给出了拟对称同胚的极值拟共形延拓的最大伸缩商、四边形模之比的上确界及拟对称同胚的边界伸缩商三者相等的一个充要条件。

CHAPTER 2 is concerned with the nonlinear hyperbolic equationswhere Ω is a bounded domain with smooth boundaryΩ.

第一章讨论如下非线性抛物型方程的初边值问题：其中Ω是R的一个多角形区域，Ω为其边界，c，p，bi，f，u0均为已知函数。

This has never been more so than in this era when politics has, in Jonathan Chait's recent portrait in The New Republic, become "an atavistic clash of partisan willpower," with Christian Right pitted against the Netroots Left in a polarized media environment defined by hyperbolic talk radio and the foolish excesses of the blogosphere.

这种事于今为烈，正如乔纳森·蔡特最近在《新共和国》中所描绘的那样，政治成了"返祖遗传式的党派意志力角逐"，在夸大其词的广播谈话和博客流行的过分愚蠢的渲染而使媒体出现两极分化的氛围中，基督教右派被塑造成了与网根左翼不共戴天的对头。

So before applying Mather's theorem of connecting orbits to concrete Hamiltonian system, we have to check whether the set W〓 is empty or not, and which cohomology classes are C-equivalent. In present paper, by investigating the topological structure of action minimizing sets near a co-dimensional one torus which is preserved under generic perturbations and becomes hyperbolic in nearly integrable Hamiltonian system.

与传统的Poincaré-Melnikov方法相比，我们方法明显优越之处在于，一方面我们的方法不仅可以得到双曲环面之间的异宿轨道，而且当该环面附近的其它环面破裂时，可以得到不同Mather集之间的连接轨道，另一方面，我们把异宿轨的存在性的证明转化为双曲环面极小同宿轨的某种弱孤立性的证明，所需条件比Poincaré-Melnikov方法弱得多。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。