查询词典 integrable

This paper discusses the integrability of Riemann integral systematically: By analyzing the common characters of a lot of integral calculus, it abstracts the concept of Riemann integral and discusses its integrability of Riemann integral and then gets integrable functions.

摘要本文较为系统地讨论了积分的可积性：通过分析诸多积分概念的共性，抽象定义了积分并详细讨论了其可积性，得出了可积函数类。

This paper discusses the integrability of Riemann's integral theory systematically: By analyzing the common characters of a lot of integral calculus, it abstracts the concept of Riemann integral and discusses its integrability of Riemann's integral theory and then gets integrable functions.

摘要本文较为系统地讨论了积分可积性理论：通过分析诸多积分概念的共性，抽象定义了积分，详细讨论了其可积性理论，得出了可积函数类。

This dissertation studies some topics in soliton and integrable system,which mainly include as follows:exact solutions especially travelling wave solu-tions and solitary wave solutions,Painlevēproperty,transformation,similarity reduction,symmetries and their Lie algebra structure,generation ofsoliton hierarchy and their zero curvature representation,Hamiltonian struc-ture,Lax or Liouville integrability,nonlinearization of Lax pairs,applications ofWu's method and symbolic computation.

本文研究内容涉及到孤立子和可积系统的多个方面：精确解特别是行波解和孤波解，Painlevē性质、变换、相似约化、对称及其Lie代数结构、孤子族的生成及其零曲率表示，Hamilton结构，Lax和Liouville可积性、Lax组的非线性化以及吴方法和符号计算在上述研究中的应用。

Secondly, the existence of chaos in a special class of discrete-time neural network models with sinusoidal activation function in the sense of Devaney with some parameters of the systems entering some regions are rigorously presented by means of anti-integrable limit method. Whats more, period-doubling bifurcation and saddle-node bifurcation in the neuron model are studied.

其次，利用反向可积极限方法证明了一类周期输入输出函数的离散神经网络模型在参数达到一定范围时产生Devaney意义下的混沌，并讨论了其一维情形的神经元模型出现倍周期分支和鞍-结点分支的情况。

We have a relation between the integrable system of IIB superstring on AdS〓S〓 and affined Toda theory.

根据Lax联络，我们可以得到经典的r矩阵以及相应的R矩阵。

For example, Donagi and Witten found that the spectral curves of these integrable many body systens are identified with the Seiberg-Witten curves of the Seiberg-Witten theory. More recently, Dijkgraaf and Vafa found the information about the superpotentials of the chiral fields in some N = 1 SUSY gauge theories from the planar diagram of certain matrix integral.

例如，Donagi和Witten等人发现可积系统的谱曲线和Seiberg-Witten理论中的Seiberg-Witten曲线相互等价，Dijkgraaf和Vafa等人从正则矩阵积分的平面图中找到了N=1的超对称规范理论中手征场的超势的一些信息，同时N。

This paper,uses the property of being uniformly integrable to truncate the random variable sequences,and under the condition of φx↑,φx2↓,obtain a weak law of large number of martingale difference sequences by the weak convergence theorem.

通过使用一致收敛性对随机变量序列进行截尾，并借助随机变量序列的弱收敛定理，在φ↑，φx2↓的条件下给出了一个鞅差序列的弱大数定律。

Large deviation principle; kernel density estimator; concentration inequality; Markov processes; uniformly integrable operators

基础科学，数学，概率论、数理统计大偏差原理；核密度估计量；集中不等式；马氏过程；一致可积算子

Our results show that: the number of periodic orbits of a nonintegrable systemdecreases and the system becomes more chaotic as the perturbation on the integrable part is increased.

研究表明：当体系所受的扰动增加时，体系的混沌程度就会不断增加，周期轨迹的数目也越来越少。

This control scheme guarantees the global stability of the closed-loop system and makes the tracking error tend to be zero and quadratically integrable.

该控制器能保证系统的全局稳定性，跟踪误差趋于零并且是平方可积的。

No clear conclusions can be made about the predictie alidity of specific measures, they found, except for criteria for the underuse of drugs for cardioascular disease.

除了心血管病不合理用药标准外，对于特定评价方法的预测效度没有明确的结论。

The third and last is that almost all of them, being infinite in number, have been impostures, and by idle and crafty brains merely contrived and feigned after the event past.

第三、即最后一点是：几乎所有这些不胜枚举的预言都是欺人之谈，都是在事件过后由无聊而狡猾的脑筋推测与凭空捏造的。