- 欧几里得空间，欧氏空间。
- euclidean: adj. 【数学】欧几里得的。
- space: n. 1.空间；太空。 2.空隙，空地；场地；(火车轮船 ...
- complex euclidean space: 复欧几里得空间
- dimensional euclidean space: 维欧几里得空间
- euclidean color space: 欧几里得彩色空间
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euclidean space中文什么意思
- 欧几里得空间，欧氏空间。
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例句与用法
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- The existence conditions of unique solutions are discussed by using - reslovent operators for set - valued mixed quasi - variational - like inequality and generalized set - valued variational inclusion problems on finite dimensional euclidean spaces ; respectively . the problem that under what conditions the solution set is nonempty ( not necessarily unique solution ) is
?利用-预解算子在有限维空间中探讨了集值混合拟类变分不等式问题和广义集值变分包含问题存在唯一解的条件；利用分析的方法在实hilbert空间中讨论了集值混合拟类变分不等式问题解集的非空性(不一定只有唯一解) 。 - What we do at this aspect are : firstly , we describe the permutation symmetry of the structure of some special networks and the corresponding attractor sets with some geometric graphs in euclidean space , which are called attractors graph and geometrized structure graph of the networks respectively ; the geometrizing conditions are also given ; we study the dynamical behavior of the networks using the geometrized structure graph and attractors graph of the network ; moreover , we propose an approach to construct a big - size network with some small - size network with symmetry by the method of direct - sum , direct - produce and semidirect - produce . we also study the dynamical properties " relation between the big - size network and the small - size networks . all those results will provide some theoretical basis for designing a special large - scale network
本文在这方面所做的工作如下：首次将一些特殊网络的结构和吸引子集的置换对称性用三维欧氏空间中的一些几何图来表示，分别称之为几何结构图和吸引子图；给出了网络对称性的几何化条州即相应的对称性群为可迁群） ：并惜助网络的几何结构图和吸弓吁图分析网络的动力学性质；此外，我们提出了用简单的具有一定对称性的小网络按照群的直和、半直积和直积的方式组合成较大的网络的方法，探讨了这些小网络和所组成的大网络的一些动力学性质的关系，如稳定态的个数、各稳定态的回忆性质等，为较大网络的设计提供一些理论依据。 - One is , based on answering the above open problem on a finite dimensional euclidean space by means of partially ordered theory , to research the existence of solutions , global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable - parameter three - step iterative algorithms for generalized set - valued variational inclusion problems by using - resolvent operator of set - valued mapping . two is to consider the convexity , closedness and boundedness of the solution set of general set - valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory . three is to discuss directly the existence of solutions by using analytical methods for set - valued mixed quasi - variational - like inequalities and suggest a class of direct variable - parameter three - step iterative algorithms for solving generalized set - valued variational inclusions
研究分有三个方面：一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题，在此基础上利用集值映射的-预解算子，研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性，并提出了一类变参数三步迭代算法；二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性；三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。 - In 1860 , schrodinger first put forward the concept " schrodinger equations " in quantum mechanics and since then , the study on schrodinger equations has never stopped , for the mathematical description of many physical phenomena belongs to the field of schrodinger equations , such as nonlinear optic , plasma physics , fluid mechanics etc . as for the form of schrodinger equations , linear schrodinger equations was gradually replaced by nonlinear schrodinger equations ; as for the methods of solving schrodinger equations , the modulus estimate of energy , the principle of contraction mapping , fourier transformation and harmonic analysis are used ; as for the space of the solutions , many people have worked on the problem in bounded domain , euclidean space of dimension n , periodic bounded conditions and mixed regions and they also combined it with the generalization from low dimension to high dimension
) dinger方程，如非线性光学、等离子物理、流体力学[ 21 ]等；在方程形式上，从线性schr ( ? ) dinger方程到非线性schr ( ? ) dinger方程；在处理方法上，用能量模估计、压缩映象原理和fourier变换调和分析等；在方程解空间上，研究有界区域、 n维欧氏空间、周期性有界区域和混合区域等，并且结合从低维向高维推广。 - In chapter 2 there are four goals : the first is to investigate some geometric properties of h - caccioppoli sets , the second is to characterize the discontinuous set su and jump set ju of u bvh ( ) , the third is to study pointwise behavior of u bvh ( ) and our effort is concentrated on showing approximate differentiability of u in the sense of pansu ' s , while the last and the most important is to show that dhu with u bvh ( ) as a radon measure can be split into three parts ( absolutely continuous part , jump part and cantor part , respectively ) just like the derivative of a bv function in the setting of euclidean space
第二章有四个目标：一是讨论h - caccioppoli集的若干几何性质，二是刻画h -有界变差函数的近似不连续点集和跳跃点集的特征，三是研究u bv _ h ( )的逐点行为，我们集中讨论u在pansu意义下的近似可微性，最后也是最重要的目标我们证明对u bv _ h ( ) ， d _ hu作为radon测度能够分解成绝对连续部分、跳跃部分和cantor部分之和。