finite dimensional euclidean space中文是什么意思

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中文翻譯
造句

有限維歐幾里得空間

finite adj. 有限的；【語(yǔ)法】限定的；【數(shù)學(xué)】有窮的，有盡的 ...
dimensional adj. 1.尺寸的。 2.空間的。 3.【數(shù)學(xué)】因次的 ...
euclidean space 歐幾里得空間，歐氏空間。
dimensional euclidean space 維歐幾里得空間
n dimensional euclidean space n維歐幾里得空間
finite dimensional linear space 有限維線性空間
finite dimensional space 有限維空間
finite dimensional vector space 有限維向量空間
finite dimensional 有限維的
endlich-dimensional finite-dimensional 有限維
complex euclidean space 復(fù)歐幾里得空間
euclidean color space 歐幾里得彩色空間
euclidean n space 歐氏n維空間
euclidean vector space 歐幾里得向量空間
euklidischer vektorraum euclidean space 歐幾里得空間
locally euclidean space 局部歐幾里得空間
non euclidean space 非歐幾里得空間
pseudo euclidean space 偽歐幾里得空間
pseudo-euclidean space 偽歐幾里得空間
tangent euclidean space 切歐幾里得空間; 正切仰角
finite space 有限空間
dimensional space 維空間
finite dimensional algebra 有限維代數(shù)
finite dimensional complex manifold 有限維復(fù)流形
finite dimensional control 有限維控制

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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(yù)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(xù)拓展；討論了有限維歐氏空間中的極大-單調(diào)集值映射的-預(yù)解算子在什么條件下是整個(gè)空間上的一個(gè)lipschitz連續(xù)的單值映射，這一結(jié)果也在有限維空間上解決了上面提到的公開(kāi)問(wèn)題；還討論了真泛函的-次微分映射的-預(yù)解算子在什么條件下是整個(gè)空間上的一個(gè)lipsehitz連續(xù)的單值映射。
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(yù)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(wèn)題和廣義集值變分包含問(wèn)題存在唯一解的條件；利用分析的方法在實(shí)hilbert空間中討論了集值混合擬類變分不等式問(wèn)題解集的非空性(不一定只有唯一解) 。
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(gè)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(kāi)問(wèn)題，在此基礎(chǔ)上利用集值映射的-預(yù)解算子，研究了廣義集值變分包含問(wèn)題解的存在性、逼近解的全局誤差界、參數(shù)唯一解的靈敏性，并提出了一類變參數(shù)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(wèn)題解集的凸性、閉性和有界性以及參數(shù)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(wèn)題解的存在性并提出了一類求解廣義集值變分包含問(wèn)題的直接變參數(shù)三步迭代算法。

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