查询词典 hyperbolic

The author argued that noncyclic, flat and hyperbolic models lead to some pathologies in the phase space.

本文主旨是，只有时间上循环和空间封闭的，具有一个很小或0值的宇宙学常数的宇宙模型在物理上才是可接受的。从相空间看，其他模型将导致一些病态现象。

In [2], we also consider nondegenerate homoclinic tangency and shows that the homoclinic point is accumulated by a sequence of uniformly hyperbolic invariant sets.

在[2]中，我们研究非退化性的同临相切，证明了同临相切点会被一串一致双曲不变集所聚集。

In chapter 1, Galerkin alternating-direction procedures and an approximation to the Jacobian of the isoparametric map are applied to discuss a three-level and a four-level Galerkin alternating-direction procedures for two kinds of nonlinear hyperbolic equations which are given on a nonrectangular, curved region.

第一章结合[10]中对矩形域上双曲型问题提出的交替方向有限元方法和[19]中利用等参元，等参变换的Jacobi行列式的逼近来研究的思想，给出了两类非线性双曲型方程在非矩形域上的交替方向有限元方法。

According to this research, the root mean square error could achieve ±1.156cm,±1.253cm and ±1.376cm by adopting hyperbolic mode, three times of the distance mode and distance square model. Its precision is good enough for engineering measurement. It provides not only the quicker methods to measure the orthometric height on survey engineer, but also a academic reference on regional geoid model

实验结果发现，经数学模式改正后双曲线模式、距离三次方模式及距离平方模式分别能达到±1.156cm、±1.253cm及±1.376cm合乎工程测量规范之标准，本研究在工程上不仅提供实务上快速测得正高的方法，於学术上亦可提供区域性大地起伏模型相关研究之参考。

The criterion is similar to hyperbolic strength criterion including uniaxial compression strength and uniaxial tensile strength, which is an extended form of Griffith-Murrell criterion essentially under the condition of polyaxial stress when hydrostatic pressure is lower, and it represents the first failure type. However, the criterion is similar to generalized Mises criterion when hydrostatic pressure is higher, and it represents the second failure type. The transition part between the two criteria represents the third failure type when hydrostatic pressure is high.

该准则包含单轴抗压和抗拉强度，在静水压力较低时，实质上它是Griffith-Murrell准则在多轴应力状态下的一种扩展形式，反映脆性岩石破坏类型1；在很高静水压力下该准则可转化为广义Mises准则，反映脆性岩石破坏类型2；而当静水压力较高时，该准则处于上述两种准则的过渡阶段，反映脆性岩石破坏类型3。

A full-scale measurement of wind pressure distributionon a group of two 120m high,ribless hyperbolic natural draft coolingtowers in Beijing area is described in this paper.

在对两座高120米双曲线型自然通风冷却塔群的风压分布的全尺寸测量，特别是风压测量系统及其参考压力的测量方法介绍之后，分析了冷却塔运行方式及来流方向对塔面风压分布的影响；并将全尺寸测量与风洞实验及单塔实测结果进行了比较。

The shape formed by projection of correlation line of rotative surface on which two axises Intersect by meahs of analytical method is discussed,and some related characterlstles of hyperbolic curve ,on the basis of which are given some ideas about making a drawing by correlationline projection are analysed and the actual drawing process is illustrated.

用解析法探讨了两轴线相交的回转面的相贯线投影的形状，分析了双曲线的一些相关特性，在此基础上给出了相贯线投影作图的新思路；利用实例说明了具体的作图过程。

By introducing a parameter b and using the extended tanh method , the rational hyperbolic functions method and the rational exponential functions method,We extend the solutions of a class of wave equation.

应用F-展开法及其扩展形式得到了Mizhnik-Novikov-Veselov方程，Klein-Gordon方程，Modified Benjamin-Bona-Mahony方程的孤立波解。

Moser [14] obtained the persistence of hyperbolic invariant tori when 0 6 Rn is a fixed Diophantine toral frequency and the eigenvalues of JM (J being the standard symplectic matrix in R2m) are real and distinct.

为中的标准辛矩阵的特征根为不同的实根时，得到了双曲不变环面的保持性。

When the modulus m approaches to 1 or 0, then the hyperbolic function solutions (including the solitary wave solutions) and trigonometrical function solutions are also given.

在极限情形，我们也得到所考虑方程的孤立波解和三角函数解。

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。