双曲线

First chapter talked about the hyperbolic orbit.

第一章是双曲线轨道力学。在天体力学和卫星轨道力学所涉及的书籍和有关文献中，很少提及双曲线轨道，更不会讨论在受摄情况下这种轨道的变化规律。

According to the definition of hyperbolic sine, flow stress constitutive equations of T122 and T91 steels had been developed.

根据双曲线正弦函数的定义，建立了T122钢和T91钢热变形条件下流变应力双曲线本构方程的显式表达式。

Based on the theory proposed by Alkhalifah, that is the reflection wave is determined by normal moveout velocity V of short-spread and anisotropic parameter η under the condition of long-spread data of vertical and lateral isotropic media and non-hyperbolic curve, a method for long-spread data velocity analysis is studied. A 2 step scanning method is used for the hyperbolic and dual parameter scanning of long-spread data.

根据Alkhalifah提出的垂直横向各向同性介质长排列情况下反射波走时由短排列的正常时差速度v和各向异性参数η确定，并具有非双曲线形式的理论，研究了针对长排列数据的速度分析方法，通过2步扫描方法实现了长排列数据的非双曲线双参数扫描。

In this paper, we study the decreasing types of the output of oil field opened by pouring water and the successive approximation method of its solution in mathematics and seepage flowing mechanics.

从数学和渗流力学概念对注水开发油田产量递减类型和判别求解方法进行了研究，提出产量递减类型应为指数递减和双曲线递减两种类型；双曲线递减的递减指数n的变化范围应为0＜n＜∞；递减类型判别和递减参数求解方法可以根据最小二乘法原理，采用数学逐次逼近法直接求解产量随时间递减的关系式。

In the equation, the unknown parameters are determined by the crack initiation angle, the crack length and the angle between the direction of the maximum principal stress and the crack surface.

采用双曲线翼型裂纹路径和试验中所得翼型裂纹路径进行了对比分析，二者吻合得很好，验证了采用双曲线近似表示真实存在的翼型裂纹模型的正确性。

The hyperbolic-type nonlinear model and rigid and perfectly-plastic model are usually adopted to simulate the constitutive behavior in tangent direction of contact surface. in fact, however, the hyperbolic-type nonlinear model can not definitely display the plastic flow deformation after shear failure while rigid-perfectly-plastic model can not describe the nonlinear deformation before shear failure.

对于土与结构间接触面的切向本构关系，目前通常采用双曲线非线性弹性模型或刚塑性模型来描述，但是，传统的双曲线非线性模型不能明确地表达剪切破坏后的塑性流动变形特性；而刚塑性模型又无法描述剪切破坏之前的非线性弹性变形。

The photosynthesis-light response curves of limestone plants Alchornea trewioides, Bauhinia championii, Pteroceltis tatarinowii, Sapium rotundifolium in Guilin karst area were fitted with rectangular hyperbolic and non-rectangular hyperbolic models.

用直角双曲线和非直角双曲线两种模型，对桂林岩溶区石山植物红背山麻杆、九龙藤、青檀和圆叶乌柏光合作用的光响应曲线进行拟合。

By using hyperbolas to fit axial curves, considering the maximal error of the fitting curves as the objective function, the optimal fitting hyperb...

通过双曲线来拟合齿向曲线，使拟合曲线的最大误差为目标函数，利用优化的方法，使最大误差最小，得到最优的拟合双曲线，从而加工出所需要的齿形。

Either of two quadric surfaces generated by rotating a hyperbola about either of its main axes and having a finite center with certain plane sections that are hyperbolas and others that are ellipses or circles.

双曲面两个二次曲面的任何一个，通过使一个双曲线绕其任何一根中轴旋转而成，而且旋转时有一个有一定双曲线平面切面的中心，而其他切面是椭圆或圆周

By using hyperbolas to fit axial curves, considering the maximal error of the fitting curves as the objective function, the optimal fitting hyperbola is obtained and the maximal error of fitting curves is minimal after optimization.

通过双曲线来拟合齿向曲线，使拟合曲线的最大误差为目标函数，利用优化的方法，使最大误差最小，得到最优的拟合双曲线，从而加工出所需要的齿形。

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。