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The hyperbolic and parabolic travel time of the reflection in layer media are presented in expression of matrix with paraxial ray theory.

利用旁轴射线理论给出了层状介质反射波的双曲线旅行时和抛物线旅行时的矩阵表达式。

By analyzing the displacement mode of unstable soil and the deformation mechanism of passive pile,an elastic perfectly plastic model and a hyperbolic curve model about the behavior of piled bridge abutment against soil lateral movements are developed on the basis of the previous research.

通过总结侧向变形土体常见的位移模式，分析桥台桩的变形机制，在阐述不同模式下桩侧压力的产生机理及桩的几种破坏模式的基础上，提出桩土间相互作用力与桩土间相对位移的双曲线关系模型和理想弹塑性关系模型，可为相关研究提供参考。

The results show that the modified GM (1, 1) has the most satisfactory accuracy, while power function model and exponent function model are moderate in accuracy and hyperbolic model is relatively worse than the aforementioned ones.

结果表明，修正的GM(1， 1)模型模拟的荷载－位移曲线精度最高，幂函数模型和指数函数模型次之，双曲线模型相对较差。

Plentiful and substantial achievements have been made, which motivate a lot of methods to obtain the exact solutions of solitary wave equations, such as: the homogeneous balance method, the hyperbolic function method, the power series method, besides the traditional methods, such as: the inverse scatting method, the bilinear Hirota method, and the Backlund transformation method etc.

求解孤立波方程精确解的方法除了传统的反散射方法、Hirota双线性方法、Backlünd变换方法外，近年来又涌现了很多新方法，如齐次平衡法、双曲正切法，级数展开法等。

On the basis of the achieved result and the effect of stress such as minor principal stress, intermediate principal stress, hydrostatic pressure, stress Lode degree, a generalized hyperbolic failure function adapted naturally with the envelope form of Mohr-Coulomb criterion is proposed for brittle rocks; and a smooth failure function acquired by Yu Maohong is also presented. Thus, a generalized polyaxial strain energy strength criterion is created.

在分析脆性岩石强度的静水压力、中间主应力、最小主应力以及应力Lode角等4种效应的基础上，提出子午面上与Mohr-Coulomb准则包络线自然衔接的广义双曲线型破坏函数及八面体偏平面上光滑角隅型破坏函数，从而建立非线性广义多轴应变能强度准则。

Introduced is a kind of space uniform rational spline curve, which possesses tension parameters and is based on hyperbolic spline functions.

引入了基于双曲样条函数的、具有张力参数的空间有理等距节点样条参数曲线，给出了这种曲线在每个样条子区间上为挠曲线段的充分必要条件；分析了这种挠曲线段没有尖点、重结点和泛拐点的特性；因而在用于空间曲线几何造型时可避免奇异性。

The isolated a subunit binds oxygen, but the O2 saturation curve is hyperbolic rather than sigmoid.

分离的a-亚基能与氧结合，但氧饱和曲线为双区线而不是S型。

A numerical model was established by combining the seven-flux model of light propagation with the two-dimensional hyperbolic heat conduction model in cylindrical coordinates. It showed that there exists a great discrepancy between the results obtained by treating the laser irradiation as volumetric absorption (i.e. taking laser scattering and absorption into consideration) and those obtained by treating the laser irradiation as the second boundary condition.

将激光传输的七流模型与圆柱坐标系内的二维双曲型导热模型相结合建立了理论模型；将激光照射处理为容积吸收(即考虑激光在生物组织中的散射和吸收)所得到的计算结果，与将激光照射处理为第二类传热边界条件所得到的计算结果相比，两者差别很大；考察了激光照射下散射系数和吸收系数对生物组织内双曲型导热的影响。

In this paper, we obtain the global exact controllability for a class of multidi-mensional semilinear hyperbolic equations with a superlinear nonlinearity.

在这篇文章中，我们得到了非线性函数在无穷远处超线性增长时一类高维半线性双曲方程的整体精确能控性。

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，证明同临相切点会被一序列的一致双曲不变集所聚集。

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。