查询词典 hyperbolic

So before applying Mather's theorem of connecting orbits to concrete Hamiltonian system, we have to check whether the set W〓 is empty or not, and which cohomology classes are C-equivalent. In present paper, by investigating the topological structure of action minimizing sets near a co-dimensional one torus which is preserved under generic perturbations and becomes hyperbolic in nearly integrable Hamiltonian system.

与传统的Poincaré-Melnikov方法相比，我们方法明显优越之处在于，一方面我们的方法不仅可以得到双曲环面之间的异宿轨道，而且当该环面附近的其它环面破裂时，可以得到不同Mather集之间的连接轨道，另一方面，我们把异宿轨的存在性的证明转化为双曲环面极小同宿轨的某种弱孤立性的证明，所需条件比Poincaré-Melnikov方法弱得多。

The relationship between the surface settlement and the number of passes of the compactor could be modeled by the hyperbolic model.

地表沉陷和夯实趟之间的关系可以用双曲线的模式模拟。

Utilizing the symmetric property of the hyperbolic complex space-time, we may explain the correspondence relations of time inversions, energy inversions and complex conjugate transformations.

利用双曲复时空间的对称性，可以解释时间反演、能量反演与复共轭变换的对应关系，能够找出正、反粒子的时空对应点。

Part II, the artificial boundary condition and its numerical methods based on natural boundary reduction for a hyperbolic initial boundary value problem in an infinite domain with a concave angle is investigated.

第二部分，研究一类具有凹角的无界外区域的双曲型初边值问题基于自然边界归化的人工边界条件及其数值方法。

Owing to the key conclusion, this paper lays emphasis on the possible ways of realizing the singular conjugation by single—enveloping method. It is proved that the hyperbolic normal arc surface and the involute helicoid both may conjugate in singular points on the condition of single—envelope.

在奇点共轭理论的工程实现方面，文中明确指出二次包络是获得奇点共轭的有效手段，但并非唯一手段，在满足特定的运动几何条件下，一次包络即可获得奇点共轭。

The author not only presents pseudo sphere, ellipsoid ,conoid,uniported hyperboloid,elliptic biparted hyperboloid,paraboloid and hyperbolic paraboloid of the second elemental form,but also curve of the second elemental form.

不但给以了伪球面、椭圆面、劈锥曲面、单叶双曲面、双叶双曲面、椭圆抛物面及双曲抛物面的第二基本形式，而且给以了一般曲面的第二基本形式。

Nonlinear hyperbolic conservation law is one of the core problems in nonlinear PDEs, it has very important physics background.

非线性双曲型守恒律是非线性偏微分方程中的核心问题之一，它有很强的物理背景。

In order to reduce the conservativeness of the analysis and the design of the presented fuzzy hyperbolic H ∞ filter, the concepts of extended ε-block and λ-block are introduced and the corresponding equivalent forms are also defined.

为了降低滤波器设计的保守性，引入广义的ε-block、λ-block和其相应的等价形式的概念。

We firstly look back thebirth of SD method,and then present the SD scheme presented by Johnson et.al.forlinear problem to explain the basic idea and implementation:At step 1,we change the testfunctionwhere(1,β)t is the streamline or character direction decidedby hyperbolic operator of the continuous problem,therefore the SD method belongs tothe Petrov-Galerkin method;At step 2,we adopt time-space finite element space,whoseelement is only continuous in space variables x but discontinuous in time variable t.

首先回顾了SD方法的产生过程，然后以线性问题为模型，描述了SD方法的基本思想和具体实现：第一步，将标准有限元方法的检验函数ν改成其中(1，β)t是连续问题的双曲算子部分所确定的流线方向。换言之，SD方法是一种Peterov-Galerkin有限元方法；第二步，采用时空有限元空间，其元素关于空间变量x是连续的，但关于时间变量t仅分段连续。

In chapter 2, using the favorable characters of the function Q = ch{x - 1, we construct the hyperbolic cosine penalty function and algorithms and proved its convergence .

在第二章中，我们利用函数Q=ch-1良好的性质，提出一种用双曲余弦函数作罚项的双曲余弦罚函数及算法，证明了该罚函数和算法的合理性及迭代点列的收敛性。

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。