曲面

We also obtain the normal forms for a class of real analytic hypersurface in C^2, and the existence and uniqueness of the positive solutions of some quasilinear elliptic equations.

我们还研究了一类C^2上的实解析超曲面的规范型，以及一些拟线性椭圆型方程组正解的存在性和唯一性。

It is shown that the convexity of the hypersurface is preserved and the flow will blow up in finite time when the force fields are constant.

证明了外力场为常向量场时，初始超曲面的凸性是保持的，且曲率流在有限时间内爆破。

In the second chapter, we investgate the Type II singularity of mean curvature flow of compact hypersurface in Riemannian manifold.

在第二章中我们讨论了一般黎曼流形中紧致超曲面在平均曲率流下的形变并且对它们的第二类奇点进行了分析。

For Lorentzian hypersurfaces in the Lorentzian sphere, the situation is different from in, the hypersurface may has complex eigenvalues.

对洛伦兹球面S(上标 n+1 下标 1)中的洛伦兹等参超曲面，情况有所不同，可能会有复的特征值。

From the structure of the hypersurface of the objective function, the method divides the flexible region into parts, constricts the parts,and finally converges to the global optimum.

该算法利用了目标函数超曲面在可行域中的起伏，对可行域进行分割压缩，并最终收敛于某个全局最优解。

Then M is a hypersurface of a (n +1)-dimensional totally geodesic submanifold Sn+1 of Sn+p .

则M是S~的一个(n+1)-维全测地子流形S~(n+1)中的超曲面。

Besides, when initial hypersurface is a noncompact entire graph, we alsoobtain the long-time existence of smooth solution for some special external force fields.

我们还研究了初始曲面是非紧整图的情况，证明了对某类特殊的外力场，这种流有光滑整体解并且保持图的性质。

It is proved that there is no Lorentzian isoparametric hypersurface of type IV in, which generalizes the relative result of Lorentzian isoparametric hypersurface of type IV in due to M. Magid.

Magid在洛伦兹空间R(上标 n+1 下标 1)中的有关结果推广到S(上标 n+1 下标 1)中，证明S(上标 n+1 下标 1)了中不存在Ⅳ型洛伦兹等参超曲面。

In this thesis, we totally depict the spectrum of the Laplacian on theclosed hypersurface with constant mean curvature and constant scalar curvaturein S~4, i.e., compute all eigenvalues of such closed hypersurface.

本文完整地刻画了S~4中具有常平均曲率和常数量曲率的闭超曲面上Laplace算子的谱，即计算出这类闭超曲面的各阶特征值。

On the basis of these results, the relations of total-pressure recovery coefficient or flow coefficient and flight mach number, angle of attack and the second movable wedge angle of the inlet have been founded by hypersurface fitting, then the mathematical model of the inlet is established.

根据流场计算结果并利用超曲面拟合方法建立了进气道总压恢复系数、流量系数与飞行马赫数、进气道攻角及二级可调斜板角度之间的关系，由此得到了二元混压式超声速进气道数学模型。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。