尖点

Jacobi尖点形式的一个注记

A Note on Jacobi Cusp Forms

本文扼要阐明了突变理论的基本思想，介绍了突变理论的A3尖点突变模型。

Basic ideas of catastrophe theory are expounded to the point and the model of a cusp catastrophe is introduced in this paper .

从而纠正了参考文献中当k≠0时孤立子不再有尖点的结论。

This result correct the conclusion for k 0 the solitons are no longer peaked appeared in three papers .

尖点突变模型在FRP约束混凝土柱变形中的应用

Application of CCM to Deformation of FRP-Restrained Concrete Column

V形和矩形刻槽尖点上的等效应力都随着刻槽深度的增加而增大；

The increase of groove depth of V-shaped groove and rectangular groove raise the values of equivalent stress around wedge tip ;

同时首次给出了关于x轴对称的哈密顿系统存在尖点环的充分必要条件。

Then we investigate the necessary and sufficient conditons for a kind of Hamiltonian system which is symmetric with respect to the x-axis exhibiting a cuspidal loop .

在尖点之间，准SV波的波形是时变力的希尔伯特变换。

Between the cusps , the waveform of the q-SV-wave is the Hilbert transform of the force time-dependence .

对于象石膏一土壤薄层这类强各向异性介质，准SV波的最大振幅出现在尖点附近。

For the severely anisotropic gypsum-soil laminated medium , the largest amplitude of the q-SV-wave is near the cusps .

波至时间与已经发表的群速度表达式相一致，其中包括多次波的出现时间及准SV波的尖点。

Arrival times agree with published expressions for group velocity , including the occurrence of multiple arrivals and cusps for the quasi-SV-wave .

在后续帧中，采用零交叉点约束的Snake算法，对具有凹边和尖点特征的复杂目标准确跟踪，获得了理想的实验结果。

In the remaining frames of the video , a new Snake algorithm is proposed to detect the sharp-angled and concave object contour under the constraint of zero-crossing point , the experimental results of different video objects are obtained .

首先介绍了图像的边缘检测方法，而后提出了识别边缘尖点和删除冗余插值点的算法，从而能够用NURBS曲线有效地拟合出样板边缘。

Firstly it introduces the method of edge detection , and then brings forward the arithmetics of identifying edge critical point and deleting redundant inserting numerical point , so it can match the edge by NURBS .

本文利用Selberg迹公式的方法，通过构造核函数，得到了Jacobi尖点形式空间维数的表达式。

In this paper , we obtain the dimension formula for Jacobi cusp forms via Selberg trace formula by constructing a reproducing kernel function .

本文针对岩石在加载系统作用下破裂过程的非稳定性问题，提出了一个简单的力学模型，用尖点灾变（Cusp）模型研究了失稳过程的机制。

In this paper , a simple mechanical model is proposed for rock unstable failure under the action of a loading system , and the mechanism of instability is studied by using a cusp type catastrophic model .

采用尖点突变理论建立悬链线形拱的跳跃屈曲模型，推导临界荷载公式，并采用Matlab工具计算及Ansys验算模型理论正确性，最后对上述两种方法所得值进行比较。

In this paper , firstly build the snap-through buckling model of the catenary and the parabola arch , derivate the critical load equation . Getting the critical load by Matlab program and validating the model theory with Ansys , finally compare the values gotten by the above ways .

讨论了酶催化反应模型S-A系统的Bogdanov-Takens型退化奇点（即尖点），给出了奇点为Bogdanov-Takens型退化奇点的条件，并推导出了相应的正规形。

The author studied Bogdanov-Takens singularity ( i.e. cusp ) in an enzyme-catalyzed reaction model , namely the S-A system . Analytical condition under which the equilibrium is a cusp is given and the corresponding normal form is also obtained .

走向条带煤柱破坏失稳的尖点突变模型

Cusp catastrophic model of instability of strip coal pillar along strike

基于尖点突变模型的承压水底板突水研究

Study of Water-inrush from Water-pressed Floor Based on Cusp Catastrophic Model

尖点突变模型在地下水特殊脆弱性评价中的应用

Application of cusp catastrophe model to the groundwater specific vulnerability assessment

尖点突变模型在环境领域中的应用研究

The Study on Application of Cusp Catastrophe Model in Environment Field

本文简要介绍突变理论的尖点突变模型。

Point model of catastrophic theory is introduced in this paper .

准脆性材料破裂过程失稳的尖点突变模型

A cusp catastrophe model of unstable failure process of quasi-brittle materials

尖点突变模型与平均场理论

The relation between cusp model of catastrophe and mean field theory

基于尖点突变模型的地震液化和孔压研究

Earthquake-Induced Liquefaction and Pore Water Pressure Based on Cusp Catastrophe Model

基于尖点突变模型对复杂系统脆性问题的研究

Research on Brittleness of Complex System Based on Cusp Catastrophe Model

一类酶催化反应模型的尖点及相应的正规形

Cusp and the Corresponding Normal Form of an Enzyme-catalyzed Reaction Model

尖点突变理论在深基坑支护桩中的运用

Application of cusp catastrophe theory in deep foundation pit support pile

只有尖点的平面曲边多角形缺陷的应力分析

Stress analysis for plane curved polygonal defects containing cusps only

柱式开采岩爆发生条件与时间效应的尖点突变

Cusp catastrophe of occurrence conditions and hysteresis of rockbursts in pillar workings

一类食饵-捕食系统的尖点及规范型

Cusp and the Corresponding Normal Form for a Class of Predator-Prey system

两尖点间行程速比系数最大机构参数确定

Parameter Optimization of Mechanism with Maximal Travel Velocity-ratio Coefficient Between Two Cusps