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In this paper,we first establish an equivalence between a vector variational inequality problem and a generalized variational inequality problem.

文章首先建立了向量变分不等式与广义变分不等式之间的等价关系,然后利用这个结论,建立了向量变分不等式的Levitin-Polyak适定性与广义变分不等式的Levitin- Polyak适定性之间的等价关系。

Equivariant bifurcation problem; contact equivalent group; versal unfolding; stability; recognition

等变分歧问题;接触等价群;通用开折;稳定性;左右等价群;识别

The versal unfolding theorem obtained in this paper by using DA-algebras tools introduced by Damon not only includes many corresponding results but also cancels the stronger demand on the codimension of a bifurcation Problem in some of relevant references to establish more general unfolding theory.

本文第二章进一步研究在(来源:AB00c6C论文网www.abclunwen.com)接触等价群作用下上述等变分歧参数及其开折的稳定性问题,得到了这类分歧问题是稳定的等价于它是无穷小稳定的结论,并且用横截性条件刻画了这类分歧问题的稳定性。

Equivariant bifurcation problem; contact equivalent group; classification; recognition; left-right equivalent group; versal unfolding; uniquiness; stability

基础科学,数学,概率论、数理统计等变分歧问题;接触等价群;分类;识别;左右等价群;通用开折;唯一性;稳定性

By simulating and spitting of the line atδ145, we were able to show five isotropic components at δ134.6,δ139.6,δ145.1,δ147.9 and δ149.1, and the numbers the inequivalent sp2 carbons neatly dovetailed with the integral areas of the every line.

我们利用拟合分峰的方法得出了这五个不等价的碳原子的峰的位置,分别位于δ134.6、δ139.6、δ145.1、δ147.9 以及δ149.1,这五个不等价的碳原子数目上的比例关系和核磁共振曲线的积分面积吻合。

To gain an ideal algorithm, based on the theories of rough set and granular computing, the basic algorithms of indiscernibility relation and computing positive region were designed, in which dynamic SQL was used to directly get the sorted object sets so that the sort algorithm was left out.

摘 要:为获取高效算法,结合Rough集和粒计算理论,基于知识颗粒设计出获取等价类的算法及计算正区域的等价算法,使用动态SQL语句直接获取已排序的对象集,省略类似算法必需的排序算法,降低了实现的复杂度。

Operations are given and testified in this paper. The research methods of intrinsical linear nonholonomic dynamics are similar to those of holonomic dynamics.The rationality and equivalence of Chetaev model and Vacco model in the intrinsical linear nonholonomic system are testified from the mathematic and mechanical aspects. The essential reason is the nonlinear property of intrinsical nonlinear nonholonomic constrain that bring on Chetaev model and Vacco model inequivalent. Chetaev model is a linear approximate method in intrinsical nonlinear nonholonomic system. Vacco dynamical equations are not satisfied to the ideal constraint force conditions, but it gives a significative ponderation on the realizations of intrinsical nonlinear nonholonomic constrain.

本文比较研究了一般非完整系统的Chetaev模型和Vacco模型,首次从力学和数学的角度论证了这两种模型在完整系统和本质线性非完整系统中的合理性和等价性;同时给出了在本质非线性非完整系统中,Chetaev模型和Vacco模型不等价的根本原因,是由本质非线性非完整约束的不确定性非线性本质所导致的;指出在本质非线性非完整系统中,Chetaev模型是一种线性近似的结果,Vacco动力学方程虽然不满足约束力的理想性质,但是为我们研究本质非线性非完整约束的物理实现提供了有益的思考。

The invariant V (A , [1〓] that we used for unital case is the semigroup of Murry-von Neumann equivalence classes of projections in matrices over C〓-algebras together with the class of the unit.

我们用来分类的不变量(V,[1〓])是A的矩阵代数中所有投影的Murry-von Neumann等价类所成的半群及单位元所在的等价类。

At financing stage, time value mechanism of currency asset requests homogeneous quality and price; while at purchasing stage, market price mechanism of Commodity assets needs heterogeneous equivalent between quality and price; but at producing stage, factors portfolio requires different value increase; and at allocating stage, corporate governing mechanism requires the allocation based on factors' contribution.

在筹资阶段货币资产的货币时间价值机制要求同质等价;购买阶段商品资产的市场价格机制要求异质等价;生产阶段要素组合要求差异增值;分配阶段公司治理机制要求按要素贡献分配。

In Chapter 4, we not only give a new definition of fuzzy finite automata, of which the state transition accords with a compound fuzzy transition, but also present an important conclusion that the coarsest respecting compound fuzzy transition partition of states is same with the coarsest equivalent partition. In the discussion of coarsest partition, we give an algorithm respecting compound fuzzy transition which would be applied to get the coarsest respecting compound fuzzy transition partition.

第四章根据分明自动机的等价分类,通过重新定义模糊自动机识别过程,使得模糊自动机的识别过程与一个合成模糊变换一致,而且得到了尊重合成模糊变换的最粗分类即为状态集的最粗等价分类这一重要结论。

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Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势,并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。

This dramatic range, steeper than the Himalayas, is the upturned rim of the eastern edge of Tibet, a plateau that has risen to 5 km in response to the slow but un stoppable collision of India with Asia that began about 55 million years ago and which continues unabated today.

这一引人注目的地域范围,比喜马拉雅山更加陡峭,是处于西藏东部边缘的朝上翻的边框地带。响应启始于约5500万年前的、缓慢的但却不可阻挡的印度与亚洲地壳板块碰撞,高原已上升至五千米,这种碰撞持续至今,毫无衰退。