查询词典 integrable function

As applications of Riemannian surface and algebraic curve theory in integrable system, Abel-Jacobi coordinates are introduced suitably by the Lax matrix, from which straightening out of the flows are given.

作为Riemann面和代数曲线理论在可积系统中的应用，利用Lax矩阵合适地引入Abel-Jacobi坐标，使得对应的流拉直。

The approximate calculation of integrals has a wide range of applications in many practical engineering, in fact a big problem of integrable system is the issue of high-dimensional points in the irregular region.

积分的近似计算在许多实际工程的应用十分广泛，可积系统的一大类问题事实上就是不规则区域上高维积分问题。

Moreover, H〓 approach, the modern closed loop frequency domain method, treats the robust optimizing design problem of the system with L2 integrable disturbances.

本文的一个思想是寻求另一种时域方法处理平方可积干扰类不确定性系统设计问题。形式上可归纳为与上述三种方法对称的所谓LQL方法。

Property 5 If is integrable and nonnegative on the closed interval ,then

性质 5 如果在区间上，则。

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。

We will prove that the only compact dual Toeplitz operator is the zero operator, and that a densely defined dual Toeplitz operator with square integrable symbol is bounded if and only if its symbol is essentially bounded.

首先，我们证明了只有零算子是紧的对偶Toeplitz算子，同时给出了以平方可积函数为符号稠定义的对偶Toeplitz算子有界当且仅当它的符号函数是本性有界的。

With the help of nonlinearization approach, the Lenard spectral problem related to the DNLS hierarchy is turned into a completely integrable Hamiltonian system with a Lie-Poisson structure on the Poisson manifold

通过非线性化方法，证明了与DNLS孤子族相联系的Lenard特征值问题在具有Lie-Poisson结构的Poisson流形C~N×R~N上是完全可积的Hamilton系统。

The terms neglected in the derivation of this completely integrable equationshould be considered as perturbations.To study the methods of amplifying or controllingoptical solitons,a perturbation theory is also necessary.

在导出这个完全可积方程的过程中忽略了的项要作为微扰加以考虑，研究对光孤子的放大和控制等手段，也需要使用微扰理论。

Under the constraints between potentials and eigenfunctions, the Lax systems are nonlinearized to be finite dimensional completely integrable systems in Liouville sense.

在位势与特征函数之间的约束条件下，Lax系统被非线性化成为有限维Liouville完全可积系统。

The soliton solution to most completely integrable (1+1) nonlinear partial differential equations, especially to which has important physical applications, were found by inverse scattering transform (1ST) method.

本论文从严格孤子解、孤子微扰理论和数值模拟三方面研究一些孤子传输系统。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。