euclidean space 歐幾里得空間，歐氏空間。
歐幾里得空間，歐氏空間。 “euclidean“ 中文翻譯： adj. 【數學】歐幾里得的。 “space“ 中文翻譯： n. 1.空間；太空。 2.空隙，空地；場地；(火車輪船 ...“complex euclidean space“ 中文翻譯： 復歐幾里得空間“dimensional euclidean space“ 中文翻譯： 維歐幾里得空間“euclidean color space“ 中文翻譯： 歐幾里得彩色空間“euclidean n space“ 中文翻譯： 歐氏n維空間“euclidean vector space“ 中文翻譯： 歐幾里得向量空間“euklidischer vektorraum euclidean space“ 中文翻譯： 歐幾里得空間“finite dimensional euclidean space“ 中文翻譯： 有限維歐幾里得空間“locally euclidean space“ 中文翻譯： 局部歐幾里得空間“n dimensional euclidean space“ 中文翻譯： n維歐幾里得空間“non euclidean space“ 中文翻譯： 非歐幾里得空間“pseudo euclidean space“ 中文翻譯： 偽歐幾里得空間“pseudo-euclidean space“ 中文翻譯： 偽歐幾里得空間“tangent euclidean space“ 中文翻譯： 切歐幾里得空間; 正切仰角“euclidean algorithm“ 中文翻譯： 歐幾里德算法; 歐幾里得算法; 歐幾里得輾轉相除法; 輾轉相除法“euclidean axiom“ 中文翻譯： 歐幾理得公理; 歐幾里得公理“euclidean body“ 中文翻譯： 歐幾里得體“euclidean complex“ 中文翻譯： 歐幾里得復形“euclidean connection“ 中文翻譯： 歐幾里得聯絡“euclidean distance“ 中文翻譯： 歐幾里德度量; 歐幾里德規則; 歐幾里德距離; 歐幾里得距離; 歐式距離; 歐氏距離“euclidean domain“ 中文翻譯： 歐幾里德定義域; 歐幾里德域; 歐幾里得區; 歐幾里得域; 歐幾里得整環“euclidean field“ 中文翻譯： 歐幾里得域“euclidean formula“ 中文翻譯： 歐幾里得公式“euclidean geometry“ 中文翻譯： 歐幾里得幾何，歐氏幾何。
euclidian |
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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 第二章有四個目標：一是討論h - caccioppoli集的若干幾何性質，二是刻畫h -有界變差函數的近似不連續點集和跳躍點集的特征，三是研究u bv _ h ( )的逐點行為，我們集中討論u在pansu意義下的近似可微性，最后也是最重要的目標我們證明對u bv _ h ( ) ， d _ hu作為radon測度能夠分解成絕對連續部分、跳躍部分和cantor部分之和。 |
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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，如非線性光學、等離子物理、流體力學[ 21 ]等；在方程形式上，從線性schr ( ? ) dinger方程到非線性schr ( ? ) dinger方程；在處理方法上，用能量模估計、壓縮映象原理和fourier變換調和分析等；在方程解空間上，研究有界區域、 n維歐氏空間、周期性有界區域和混合區域等，并且結合從低維向高維推廣。 |
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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 研究分有三個方面：一是借助于偏序理論在有限維歐氏空間中解決了上述公開問題，在此基礎上利用集值映射的-預解算子，研究了廣義集值變分包含問題解的存在性、逼近解的全局誤差界、參數唯一解的靈敏性，并提出了一類變參數三步迭代算法；二是借助于圖收斂理論研究了一般集值變分包含問題解集的凸性、閉性和有界性以及參數解集的靈敏性；三是用分析的方法直接討論了集值混合擬類變分不等式問題解的存在性并提出了一類求解廣義集值變分包含問題的直接變參數三步迭代算法。 |
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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 本文在這方面所做的工作如下：首次將一些特殊網絡的結構和吸引子集的置換對稱性用三維歐氏空間中的一些幾何圖來表示，分別稱之為幾何結構圖和吸引子圖；給出了網絡對稱性的幾何化條州即相應的對稱性群為可遷群） ：并惜助網絡的幾何結構圖和吸弓吁圖分析網絡的動力學性質；此外，我們提出了用簡單的具有一定對稱性的小網絡按照群的直和、半直積和直積的方式組合成較大的網絡的方法，探討了這些小網絡和所組成的大網絡的一些動力學性質的關系，如穩定態的個數、各穩定態的回憶性質等，為較大網絡的設計提供一些理論依據。 |
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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-預解算子在有限維空間中探討了集值混合擬類變分不等式問題和廣義集值變分包含問題存在唯一解的條件；利用分析的方法在實hilbert空間中討論了集值混合擬類變分不等式問題解集的非空性(不一定只有唯一解) 。 |
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It is also pointed out that these curves are devoid of split property possessed by nurbs curves in euclidean spaces . at the same time , a knot insertion algorithm is also given for the nurbs curves on sphere , then interpolation for curves on sphere is presented by spherical quadratic and cubic uniform b - spline 并且討論了這種曲線的若干性質，有類似于歐氏空間中的性質，還指出其不具有類似于歐氏空間中的nurbs曲線的分裂性質，同時給出球面nurbs曲線的插入節點算法。 |
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In this paper , we discussed the application of the technology of 3 - d reconstruction based on image sequence in culture protecting . and we developed a simple system that reconstruct the model in euclidean space . this laid the foundation for the technology of image - based modeling to be used in culture protecting in further 本文對基于圖象的三維重建系統在文物保護中的應用進行了探討與展望，并開發了一個簡單的重建系統，為該技術在文物保護中的進一步應用建立了一個框架。 |
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Finally , a method is put forward to construct the nurbs curves on sphere , which extends the de boor recursive algorithm in r3 to one on the sphere by replacing the geodesic distances for the lines and studies their many geometric properties analogous to those in euclidean spaces , such as the differential property , the local property , the parameter invariance under a projective transformation , and so on 兩種方法均給出誤差估計，使逼近螺線可達到任何預先給定的精確階。最后，給出球面nurbs曲線生成算法：用球面上測地線? ?劣大圓弧代替直線段，將歐氏空間r ~ 3中的deboor遞推算法推廣到球面上構造曲線。 |
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The same rank lipschitz continuous development of single - valued mappings is proven by means of partially ordered theory on finite dimensional euclidean spaces . the problem that under what conditions the - resolvent operator of a maximal tj - monotone set - valued mapping is a lipschitz continuous single - valued mapping on whole space , which also answers the open problem mentioned above , is studied on finite dimensional euclidean spaces . the problem is researched that under what conditions the - resolvent operator of - subdifferential mapping of a proper functional is a lipschitz continuous single - valued mapping on whole space ?引入了集值映射的-預解算子概念；借助于偏序理論證明了有限維歐氏空間中的單值映射可同秩lipschitz連續拓展；討論了有限維歐氏空間中的極大-單調集值映射的-預解算子在什么條件下是整個空間上的一個lipschitz連續的單值映射，這一結果也在有限維空間上解決了上面提到的公開問題；還討論了真泛函的-次微分映射的-預解算子在什么條件下是整個空間上的一個lipsehitz連續的單值映射。 |
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Presents a new algorithm for detection of collision between two convex objects to improve the efficiency of collision detection during robot path planning in the robot simulation system , which establishes a linear system whithout variables based on a linear equation system in euclidean space through a series transformation , and concludes that collision is detected if the system contains no dilemma 如何進一步提高碰撞檢測的速度在智能機器人路徑規劃中非常關鍵.為此給出了一種新的碰撞檢測算法；它是以空間中的平面方程為基礎，將一組平面方程進行幾次代數變換得到一組常數不等式，觀察這組常數不等式中是否含有矛盾不等式即可判定機器臂是否與空間中的障礙物相撞 |
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Aiming at the drawback of this method in dealing with similar targets , this paper looked the multi - evidence set as a multi - evidence space and used euclidean space distance to improve the algorithm of set - pairs proximity 文章針對該方法在處理相似目標識別時貼近度相近的缺陷，將多個證據組成的證據集合看作是由多個證據組成的證據空間并在歐氏空間權距離的基礎上改進了集對貼近度算法。 |
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For recover the real structure of scene we should estimate the interior parameters of camera in further , and transform the structure of scene from projective space to euclidean space , this process named camera calibrating 為了恢復場景或物體在歐氏空間的形狀，需要估計攝像機的內部參數，完成從射影空間到歐氏空間的轉變，這個過程稱為攝像機定標。 |
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Many unusual phenomena near the percolation threshold caused by random pore removal or blockage is found . first , the grid pressure distribution is anomalous ; secondly , the dispersion is much slowly than in euclidean space 模擬中發現：在滲流閾值附近，確實存在著反常彌散和優勢通道現象，網格中的壓力分布也和全部聯通時完全不一樣。 |
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Mathematically it corresponds to a linear transformation for a set of points in the euclidean space . for k value learning , this paper made a better selection using genetic algorithm primarily 從數學意義上講，這種權值學習相當于歐氏空間中對一組點進行了一個線性變換。 |
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The corresponding problem for hypersurface with constant mean curvature in euclidean space r “ + l remains open 關于r ~ ( n + 1 )中常平均曲率超曲面的相應問題至今尚未解決。 |