查询词典 singular complex

In this project, we intend to combine the above mathematical ideas. First, we consider a wild family of dynamical systems which can be derived into a family of difference equations. Then using a generalized version of the implicit function theorem which we will establish, we want to show that for any dynamical systems near 「singular limit」, there exists a horseshoe structure and hence chaotic phenomena occur.

在此研究计画中，我们打算结合上述的数学结论与想法，进一步考虑一类能够转化成差分方程的动态系统函数族，使用即将建立的推广性隐函数定理，我们希望证明当参数接近奇异极限时，动态函数会具有马蹄结构所以有混沌现象。

A kind of one parameter planar singular perturbation equation is studied by the qualitative theory of ordinary differential equations, asymptotic analysis methods, implicit function theorem and fixed point methods.

本文应用微分方程定性理论、渐进分析方法、隐函数定理以及不动点理论的方法研究一类单参数二维奇异摄动系统。

Its concise, varied and harmonious style, full of majesty and dignity makes for singular clarity and impressiveness of expression.

它简洁，多样而又和谐的文体风格，使它满溢着尊贵和庄重，使它的表达具有特殊的清晰性和深刻性。

Indeed the terms have a singular inappropriateness as applied to a temperament like his.

事实上条款有一个奇异的不当作为适用于一个气质像他的。

The boundary singular kernel method and the modified pen alty method are utilized to treat the essential boundary conditions and incompressibility constraint, respectively. The stiffness equation for analysis of metal forming using RKPM is derived and its key algorithms are given.

分别采用边界奇异权法和修正的罚函数法处理本质边界条件和体积不可压缩条件，推导了金属塑性成形过程无网格RKPM法数值模拟的刚度方程，给出了关键算法。

In conclusion, by consideration of viscosity effect of material at propagating crack-tip, it is established in the paper the unified continuous singular crack-tip field in linear-hardening material under the condition of incompressibility. The plastic shock is eliminated that exists in non-viscosity solutions. What's more, the dynamic and quasi-static solutions are united together when the Mach number approaches zero.

总之，通过考虑扩展裂纹尖端材料的粘性效应，本文建立了幂硬化材料在不可压缩条件下扩展裂纹尖端的统一的连续奇异性场，消除了无粘性解中存在的塑性激波，在马赫数趋于零时动态解和准静态解得到了统一。

The boundary singular kernel method and modified penalty method are utilized to treat the velocity boundary conditions and incompressibility constraint, respectively. The arc-tangential friction model is employed to treat the contact conditions.

分别采用边界奇异权法和修正的罚函数法处理速度边界条件和体积不可压缩条件，采用反正切摩擦模型处理摩擦边界条件，推导了金属三维塑性成形过程EFGM法数值模拟的刚度方程，给出了关键算法。

The existence of positive solutions of some fourth-order singular semi-positone boundary value problems are obtained on a special cone by using the fixed point index theorem.

本文在一个特殊锥上利用不动点指数定理，得到了一类四阶奇异半正边值问题正解的存在性，并给出了一个例子作为对所获结果的应用，推广和改进了一些已知结果。

In chapter 4, we first discussed the existence of multiple positive solutions of the second order nonsingular Dirichlet boundary value problem for impulsive differential equations by using the fixed point index theorem in cones . Next, we presented some new existence results for singular boundary value problems for second order impulsive differential equations by using fixed point theorem in cones and Leray-Schauder nonlinear alternative theorem.

第四章我们首先利用锥不动点定理讨论了非奇异二阶脉冲微分方程狄利克莱边值问题多个正解的存在性；其次我们用锥不动点定理和Leray-Schauder型非线性抉择定理，讨论了奇异二阶脉冲微分方程狄利克莱边值问题一个及多个正解的存在性。

"Affiliate" shall mean in the singular or plural, any company, entity or business enterprise which controls or which is controlled by, or otherwise under common control with, a Party hereto and "control" shall mean direct or indirect ownership of more than fifty percent (50%) of the voting stock or other indicia of ownership of the controlled company, entity or enterprise or the direct or indirect authority to elect a majority of the Board of Directors or its equivalent, or to manage the business or affairs of such controlled company, entity or enterprise.

"关联公司"应指控制本合同一方的或由本合同一方控制的或与本合同一方同受控制的任何公司、实体或企业；"控制"一词指直接或间接地拥有受控制的公司、实体或企业百分之五十(50%)以上的有表决权股份或其它形式的所有权，或直接或间接有权选举董事会或其同等组织的多数或管理该受控制的公司、实体或企业的业务或事务。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。