查询词典 quasi-definite

In Chapter 3, existence of quasi-convex, quasi-concave, convex and concave solutions of a linear iterative functional equation are studied.

曾经有人讨论了凸迭代根和凹迭代根的存在性，但对更一般的方程——线性型迭代方程的解的凹凸性尚无结果。

The author defines the lshikawa iteration process with errors for a sequence nonlinear generalized quasi contractive mapping in convex metric space s and prove that the iterative scheme converges to the unique common fixed point of the sequence of nonlinear generalized quasi contractive mapping.

在凸度量空间内，对非线性广义拟压缩映射序列定义了带误差的 lshikawa迭代序列，证明了带误差的 lshikawa迭代序列收敛于非线性广义拟压缩映射序列的唯一公共不动点。

Quasi-invariant subspaces similar to the quasi-invariant subspace generated by z+w are completely depicted.

给出了和z+w生成的拟不变子空间相似的拟不变子空间的完全刻画。

Examples of different non-conservative systems were studied based on quasi-Hamilton principle and quasi-complementary Hamilton principle, and the uniform forms were obtained.

应用拟Hamilton原理和拟余Hamilton原理研究不同性质的非保守动力系统的算例，表明不同性质的非保守动力系统的拟Hamilton原理和拟余Hamilton原理均可写成统一的形式。

In this thesis, we study two problems: the existence results of solutions for generalized vector quasi-equilibrium problems and Hlder continuity of solutions to generalized vector equilibrium problems. The detailed contents are listed as following:In Hausdorff topological vector space, we discuss the existence results of solutions for three types of generalized vector quasi-equilibrium problem (GVQEP1,(GVQEP2) and (GVQEP3), for short respectively.

本文主要研究了两类问题：广义向量拟平衡问题解的存在性以及广义向量平衡问题解的Hlder连续性，具体内容如下：在Hausdorff向量拓扑空间中，讨论了三类广义向量拟平衡问题(GVQEP1)，(GVQEP2)和(GVQEP3)解的存在性定理。

According to the existence results of general equilibrium problems and vector equilibrium problems have been studied more and more. Inspired and motivated by these research results, this paper is devoted to study systematically a class of equilibrium problems, which is unify and extension of a large number of known equilibrium problems and variational inequalities problems. The research is carried on from three aspects.Firstly, in finitely continuous topological spaces, we introduce four new types of the system of generalized vector quasi-equilibrium problems, and we derive some existence results of a solution for the system of generalized vector quasi-equilibrium problems via the maximal element theorems in product finitely continuous topological spaces.Secondly, in complete metric spaces, we provide the Ekeland variational principle to equilibrium problems with set-valued maps. And via the Ekeland variational principle, existence results for vector equilibrium problem with set-valued maps and the system of vector equilibrium problem with set-valued maps.

针对一般的均衡问题和向量均衡问题解的存在性，已有许多研究成果，受这些成果的启发，本文主要从理论上较为系统地研究了一类均衡问题，它统一和推广了许多已有的均衡问题和变分不等式问题，研究分有三个方面；首先，在有限连续拓扑空间中，我们提出了四类广义向量拟均衡系，并借助于有限连续拓扑空间中的极大元定理讨论了这四类均衡系问题的解的存在性问题，然后，在完备度量空间中，我们给出了关于集值均衡问题的Ekeland变分原理，并利用Ekeland变分原理分别讨论了集值向量均衡问题和集值向量均衡系问题的解的存在性。

The maj or obj ect of this paper is the medium.small size concrete dams that have been used for many years.They have the characteristic that the alteration of water height of reservoirs is unobvious and the dams, displacements are affected mainly by temperature.With a case,the method of stepwise regression is used to analyze the vertical displacement prototyDe observed data.Then regression equation is established,the relation of dam,s displacement with hydraulic pressure、temperature、time effect is analyzed and the displacement change rule is obtained,the dam'S displacement onlv dependent to temperature is received.According to the theory of Finite Elements Method,the quasi-stationary temperature field formula and temperature stress formula are deduced.The QTP program and TFEM3D program are written with FORTRAN.The same case is calculated through QTP program to solve the quasi-stationary temperature and through TFEM3 D program to solve the dam'S displacement and find tlle dam,s deformation rule.This rule is accordant with the regression,S resuIt.

本文主要针对运行期间库水位变化很小、坝体的位移主要受温度变化影响的中小型混凝土坝，结合工程实例，采用逐步回归的方法对垂直位移原型观测资料进行分析，建立回归方程，分析坝体位移与水压、温度、时效之间的关系以及位移变化规律，分析结果坝体位移只与温度有关，而基本上不受库水位变化和时效的影响；根据有限元原理推求了混凝土坝准稳定温度场公式和温度应力公式，利用FORTRAN语言编制出QTP准稳定温度场程序和TFEM3D位移场程序，对大坝的温度场和位移场进行计算，求出坝体结点的变温值和坝体结点位移值以及单元应力分量，分析得到大坝的变形规律与实测资料以及回归统计变形规律一致，说明对坝体准稳定温度场的研究是正确的。

In chapter 4 , with S-KKM mapping , a new Ky Fan\'s minimax inequality is proved , the locally convex H-space with uniform structure is introduced , s-HKKM mapping is defined as the generalization of KKM mapping, with the H-convexity of Hausdorff locally convex H-space , a new fixed point theorem for the compact andclosed mapping belonging to the class s-HKKM is established ;with local intersection property of muti-function ,K-H-quasi-convexity of mapping , connectedness of set and condensing correspondences, some new vector quasi-variational inequalities are established , respectively .

第四章利用S-KKM映射，建立了新的Ky Fan极小极大不等式；定义了带有一致结构的局部凸H-空间，利用Hausdorff局部凸H-空间的H-凸性，对于属于s-HKKM中紧的闭映射建立了新的不动点定理，利用对应的局部交性质、映射的K-拟-凸性、集合的连通性以及φ-condensing对应分别建立了相应的拟向量变分不等式。

The quasi wavelets method introduce regularizer and make the scale function regularity and localization attributes. A meshless method and a quasi wavelets method based on the natural boundary integral equation in this paper are presented. Corresponding formulas are developed for the implementation of the present method.

本文提出的自然边界元的无网格方法是将无网格方法与自然边界元方法相结合，使其不仅具有自然边界元的降维及计算便捷、稳定等优点，而且还具有无网格方法的只需节点信息、不必划分网格、后处理方便等优点，这使该方法在处理高维问题上计算简捷。

Considering that body forces and surface forces were both non-conservative force, the quasi-Hamilton principle and the quasi-complementary Hamilton principle of non-conservative elasto-dynamics systems were established.

按照广义力和广义位移之间的对应关系，将弹性动力学的基本方程乘上相应的虚量，然后积分，代数相加，并考虑到体积力和面积力均为非保守力，建立了非保守弹性动力学系统的拟Hamilton原理和拟余Hamilton原理。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。