椭圆的

Nonlinear flexural wave equation is solved by the Jacobi elliptic function expansion method. Two kinds of exact periodic solutions of the nonlinear equations are obtained, that is, the shock wave solution and the solitary wave solution. The necessary condition for existence of exact periodic solutions, shock solution and solitary solution is discussed, which is consistent with the qualitative analysis.

利用Jacobi椭圆函数展开法，对该非线性方程进行求解，得到了非线性波动方程的准确周期解及相对应的孤波解和冲击波解，讨论了这些解存在的必要条件，这与定性分析的结果完全相同。

Under the assumption that the Earth is a triaxial rigid body which is rotating freely in the Euclidian space, the elliptic integral solution of the Euler dynamic equation is provided, and then the numerical solutions of the Euler dynamic as well as kinetic equation are realized.

在Euclid空间中，假定地球是一个作自由旋转的3个主惯性矩互不相等的刚体，给出了Euler动力学方程的椭圆积分解，并实现了Euler动力学方程和运动学方程的数值解。

Cases, a satellite along the elliptic orbit orbiting satellite operation, the perigee from the planet center distance is a, well locations from the planet center distance b, if the satellite perigee rate is Va, the satellite apogee when the rate Vb how much?...

例、某卫星沿椭圆轨道绕行星运行，近地点离行星中心的距离是a，远地点离行星中心的距离为b，若卫星在近地点的速率为Va，则卫星在远地点时的速率Vb多少？。。。

And the effects of foundation displacement excitation,temperature,amplitude and asexternal damping on the nonlinear vibration of elliptic paraboloid cable net with the comparison between steel cable and carbon fiber cable were discussed.At last the conclusions are obtained that the temperature have great influence on steel cable and bat not on carbon fiber cable,and the vibration characteristics of cable net using carbon fiber cables is superior to cable net using steel.

在把碳纤维索网与钢丝索网比较的基础上，讨论分析了位移激励、温度、振幅、外阻尼等因素对椭圆平面双曲抛物面碳纤维索网非线性振动的影响，得到了碳纤维索网对温度变化不敏感，而钢丝索网受温度的影响却很大，且碳纤维索网振动特性优于钢丝索网振动特性的结论。

Keywords: Elliptic curve;Point addition;Cryptosystem;FPGA design.

在对已有的几种投影坐标系下的点加运算进行分析比较的基础上，提出了一种适合于FPGA设计实现的椭圆曲线上的点加运算方案。

The method this paper discussed was based following theoretic analysis: Square and multiplication of large integer are two basic operations in modular exponential m_ary algorithm. The main operations of m_ary algorithm of point multiplication in elliptic curve encryption were doublings and point addition. The steps of m_ary algorithm in point multiplication was similar to modular exponential.

其基于以下理论分析：模幂m_ary算法的基本运算为大数乘法，其中包括大数平方算法和一般大数乘法；椭圆曲线加密算法中点乘的m_ary算法步骤与模幂的m_ary算法相同，后者的基本运算为倍乘和加法。

For Dirichlet problem of elliptic type equations,Chen[7]has proved the existenceof viscosity solutions under nature structure conditions.As for the oblique derivativeproblems,Ishii[6]has obtained the existencec results.But there is no result ofthese types on parabolic type equations.

对于椭圆型方程的第一边值问题，陈亚浙[7]用闸函数方法证得在一定的结构条件下定解问题存在连续粘性解，而斜微商问题的同类结果是Ishii[6]证得的，但对于抛物型方程似乎还是个空白。

Baldwin deals with issues of race and racism more elliptically in this novel than in his other works, but these issues inform all three of the text's central problems—indeed, according to some critics, these issues take center stage in the book, though subtly.

鲍德温涉及种族问题和种族主义更新颖的椭圆在这比他的其他作品，但这些问题的通知所有三个文本的核心问题，事实上，根据一些批评，这些问题，采取中心舞台在这本书中，虽然微妙。

The thickness of diamond-like film deposited on monocrystalline silicon substrate was measured by elliptically polarized light. According to the result, the film distributes over the whole surface of substrate randomly.

用椭圆偏振法测量了单晶硅基体上沉积的类金刚石薄膜，同时从所测得的膜厚值中，发现运用该沉积装置所沉积的类金刚石膜在基片表面上的厚度值呈随机分布状态。

According to the results, the contour of cross section is related to the relative radius of punch; the maximum equivalent plastic strain is an increasing function of it and the ellipticity is a decreasing function of it.

研究结果表明，成形件的横断面轮廓形状与相对凸模半径有关；最大塑性等效应变是相对凸模半径的递增函数；椭圆度随相对凸模半径的增加而减小。基於研究结果，本文给出了相对凸模半径的设计原则。

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。