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We transformed eccentric coaxial line cross-section into rectangular area by hyperbolic cotangent transformation, transformed the FDTD difference expressions into CM-FDTD difference formula, calculated the cutoff wavenumbers of higher order TE and TM modes in eccentric coaxial line.

本文用双曲余切变换将偏心同轴线截面变换为矩形区域，相应地将FDTD差分格式变换为保角变换FDTD差分格式，计算了偏心同轴线TE、TM高阶模的截止波长。

In this paper we define the concept of Projective Blaschke manifolds and extend the theory of equiaffine differential geometry to the projective Blaschke manifolds. We prved that if M be a complete projective Blaschke n-sphere and its universal covering manifold is isometric to a complete (n+1) dimensional parabolic, elliptic or hyperbolic affine hypersphere, then M is a quotient space of E^n, S^n or D^n by a isometric subgroup of its corresponding spaces.

在这篇文章中我们定义了射影Blaschke流形的概念，将等仿射微分几何的理论推广到了射影Blaschke流形，并证明：如果n维完备射影Blaschke 超球面 M 的通用覆盖流形分别是完备的抛物型、椭圆型或双曲型仿射球，则M分别是n维欧氏空间、n维超球面或n维单位圆盘关于各自空间的一个等距离散子群的商，从而对完备射影Blaschke 超球面进行了分类。

And so too, we've discovered that there is an infinite taxonomy of crochet hyperbolic creatures.

我们也已经发现，有一个无限分类的双曲生物钩针形式。

But it turns out there is a very good reason why we are crocheting it because many organisms in coral reefs have a very particular kind of structure. The frilly crinolated forms that you see in corals, and kelps, and sponges, and nudibranchs, is a form of geometry known as hyperbolic geometry.

但我们有一个很好的理由来用钩针编织：因为很多在珊瑚礁中的生物有机体，如裸鳃类动物、珊瑚礁、海藻及海绵中，有非常特别的一种结构，就是你所看到的裙衬褶边形式。

It is a generalization of the nonlinear diffusion equation proposed by Perona-Malik and the method presented by Cuesta, and interpolates between the nonlinear parabolic equation and the nonlinear hyperbolic equation, thus can effectively control the diffusion process so that noises can be removed and details of the image such as edges can be preserved as much as possible simultaneously.

提出了一种包含对时间的分数阶导数的非线性扩散方程，它是对Perona-Malik的非线性扩散方程和Cuesta提出的方程的推广，介于非线性抛物方程和非线性双曲方程之间，从而能有效地控制扩散过程，使得在去除图像噪声的同时能够尽可能地保留图像的边缘等细节信息。

We also give two other kinds of further general- izations: one is to the case of hyperbolic-type degenerate lower dimensional tori in Hamiltonian systems, and the other one is to the case where the Hamiltonian has time-dependent quasi-periodic perturbation.

在第三章中，我们利用法向双曲不变流形理论和尤建功的一个定理的光滑性表述，给出了一个同时具有法向频率和法向分量的推广的KAM定理。

Some necessary and sufficient conditions for the oscillation of solutions of delay hyperbolic differential equation s are obtained.

建立了一类时滞双曲型微分方程解的振动充要条件，揭示了这类双曲方程与相应泛函微分方程解的振动的等价性。

This paper studies oscillation of the solutions of hyperbolic partial differential equation with continuous delay argument.

研究了一类具有连续时滞的双曲型偏微分方程？？

Another reason why hyperbolic tangent is a good choice is that it's easy to obtain its derivative.

另一个原因双曲正切是一个很好的选择是很容易得到它的导数。

The hyperbolic model can be easily derived from a set of fuzzy rules.

这种模型是一种模糊模型，可以很容易由几条模糊规则得出。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。