查询词典 generalized

Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simons nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.

Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年，忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形，并给出了若干重要的应用[47]。1997年，K。

By introducing the parameter , construct a new kind of weighted implicit difference scheme for (1+1)-dimension nonlinear Sine-Gordon equation and the generalized nonlinear Sine-Gordon equation respectively. Give out an ADI scheme for (2+1)-dimension nonlinear Sine-Gordon equation.

通过引进参数，分别为（1+1）维的非线性Sine-Gordon方程和广义的非线性Sine-Gordon方程建立了它们的加权隐式差分格式，给出了（2+1）维的非线性Sine-Gordon方程的ADI格式。

Then,the system is linearized by variational approach,the local null controllability is proved by applying a generalized implicit function theorem and combining the property of the solution mapping.

首先得到了系统的逼近能控性；然后采用变分方法对系统线性化，再结合解映射的性质，应用推广的隐函数定理，证明系统的局部零能控性；最后给出系统零能控的结论。

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。

Then, the system is linearized by variational approach, the local null controllability is proved by applying a generalized implicit function theorem and combining the good property of the solution mapping.

首先通过对系统线性化，构造泛函，利用对偶方程，给出控制函数具体形式的办法得到系统的逼近能控性；然后采用变分方法对系统线性化，再结合解映射好的性质，应用推广的隐函数定理，证明系统的局部零能控性；最后利用局部零能控性和逼近能控性结合给出系统零能控的结论。

So to analyze in the aspect of description, it is useful to delouse the fount how inarticulateness comes into being; Based on the economic relationship and from the viewpoint of the pursuit of aim, the object of studying, the original creation of aesthetics, as well as the articulate knowledge and inarticulate knowledge, Polanyi distinguished the acquisitive way of science and technology. The development model of personal Knowledge can be generalized as the enthusiasm of seeking knowledge; Polanyi revealed how personal factors of mathematician cut across logical chasm, and gained mathematics findings in math" s activities. Thus he proved mathematics was also activity-needed techniques as natural science; Last evaluating the theory of "Personal Knowledge systematically, it can reveal its realistic significance and limitation.

波兰尼把认知结构区分为可言传知识与不可言传知识，与20世纪以来西方哲学的中心课题转向语言学的研究一致，所以从言述的角度出发，有助于了解不可言传性如何形成的根源；波兰尼以经济关系为立足点，从科学与技术的目的追求、研究对象、美的原创性，以及从可言传知识与默会知识的角度对两者的获取途径做了区分；其个人知识发展模式可以概括为：求知热情→启发性热情→说服性热情……；波兰尼揭示出数学家的个人因素是如何在数学活动中跨越逻辑鸿沟，取得数学发现的，从而证明数学同自然科学一样，也是一项需要技能的活动；最后对"个人知识"理论作一系统的评价，揭示"个人知识"理论的现实意义和局限性。

The article defines the generalized variation coefficient and puts forward a new kind of grey incidence model. This kind of model reflects the positive and negative relation of grey incidence degree to some extent. It is only relate to the geometric shape of sequences and has nothing to do with the spatial position of theirs.

首先定义了广义变异系数，并提出一种新的关联度计算方法，该关联度能够反映序列的正相关与负相关关系，并且只与序列的形状有关，而与它们在空间的相对位置无关。

According to the inclusion relation of extension between nodes, the nodes construct generalized concept lattice.

而在实际应用中进行这样的分类可能会有利于更深刻地理解和运用所分析的数据。

In order to remove the assumption of material incompressibility, the author has developed a generalized MSG plasticity theory for compressible material.

针对原来的 MSG 理论中的材料不可压缩的假设，而实际工程材料都是可压缩的这种情况，作者发展了适用于可压缩材料的 MSG 理论。

Rubber ; Yeoh model ; incompressibility ; generalized ; variational principle ; FEM

橡胶； Yeoh模型；不可压缩性；广义变分原理；有限元法

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。