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- The names are lended from that of the Euclidean space. 借助這些幾何工具對布爾函數與方程式論作了進(jìn)一步探討。
- We prefer the form (5.16.7) since it is in conformity with the definition of scalar product in a complex Euclidean space. 我們愿意用（5.;16
- Let M be a closed m-dimensional submanifold in the Euclidean space (or sphere Sm+p). 設M是歐幾里德空間E~(m+p)或球S~(m+p)中的m維封閉子流形,T_(?)
- Standard stochastic gradient algorithm of blind source separation is only adapted to Euclidean space. 盲源分離的常規隨機梯度算法只適用于歐氏空間,對于更一般的黎曼空間則必須采用自然梯度算法。
- The specular reflection is a very important linear transformation in Euclidean space, and it has a special geometrical explanation in geometrical space. 摘要鏡面反射是歐氏空間中一類(lèi)很重要的線(xiàn)性變換，在幾何空間中有著(zhù)極其形象的解釋。
- The above formulae may be applied to the study of the inversion of hypersur-faces in the Euclidean space of N dimensions. 應用上述公式討論n維歐氏空間的反圖法。
- The ideal element is a bridge that Euclidean space geometry transits to projection geometry, a cornerstone in project geometry. 摘要理想元素是歐氏幾何過(guò)渡到射影幾何的橋梁，是射影幾何的基石。
- In this paper, we give the sets of radii which make the measures of balls and spheres finite but not infinitesimal respectively, in a Euclidean space of infinite dimension. 本文分別給出了使在無(wú)窮維歐氏空間中球體和球面具有有限的，但又不是無(wú)窮小的測度的半徑集合.
- In this paper the authors generalize 1-independentvariable the integral inequalities by Gronwall and establish the integral inequalities in the n-dimensional Euclidean space R~n. 將一維函數的Gronwall不等式推廣到了n維歐幾里得空間.
- In this paper, we discuss some properties of self-conjugate operator on Euclidean space Rsn and geometry background of generalized real symmtric matrices. 本文探討了R_s~n上的自共軛變換的性質(zhì)與廣義實(shí)對稱(chēng)矩陣的幾何背景。
- A few good necessary and sufficient conditions are given by using inner product and length relation for antisymmetric transformation on Euclidean space. 借助內積與長(cháng)度與夾角給出了歐氏空間的變換是反對稱(chēng)變換的若干個(gè)充要條件。
- These observations allow one to formalize the definition of reflection: a reflection is an involutive isometry of an Euclidean space whose set of fixed points is an affine subspace of codimension 1. 這些觀(guān)察允許我們形式化反射的定義: 反射是歐幾里得空間的對合等距同構，它的不動(dòng)點(diǎn)集合是余維度為 1 的仿射子空間。
- This thesis investigates seveval problems about discrete fractal indices and their intrinsic relationships in Euclidean lattice and Euclidean space, and some problems in local bifurcation problems of one state variable with Z2 - symmetry. 本文研究歐幾里得格和歐幾里得空間中有關(guān)離散分形指標及其內蘊關(guān)系，和Z_2對稱(chēng)分岔理論中的若干問(wèn)題。
- In this paper, the authors show the method for calculating the volume of subregion in Euclidean space, and get calculation formulation for subregion in Euclidean space such as hyper-ellipsoid, simplex of n-dimension and Euclidean polyhedron. 提供了歐氏空間Rn中一些較特殊區域的體積求法,并相應地得到了歐氏空間Rn中橢圓超球體,n維單形,以及n+1面體的體積計算公式。
- Instead of directly tackling this tricky problem, this paper converts OTS equivalently into an optimization problem in the Euclidean space, which can be solved by any standard nonlinear programming techniques adopted by OPF (optimal power flow). 將帶暫態(tài)穩定約束的潮流優(yōu)化問(wèn)題等價(jià)轉換為歐幾里德空間的優(yōu)化問(wèn)題,然后采用最優(yōu)潮流(OPF)中常用的標準非線(xiàn)性規劃法來(lái)解決此問(wèn)題。 經(jīng)過(guò)轉換后的OTS,在形式上和OPF有相同的變量,這樣即使對于一個(gè)存在眾多暫態(tài)穩定約束和多個(gè)擾動(dòng)的大型電力系統,也變得容易求解。
- 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(shí)貼近度相近的缺陷，將多個(gè)證據組成的證據集合看作是由多個(gè)證據組成的證據空間并在歐氏空間權距離的基礎上改進(jìn)了集對貼近度算法。
- It is revealed that the paradox solution in Euclidean space is just a solution in symplectic space in the Jordan form which can easily be obtained by conventional mathematical means. 本文的工作表明,歐幾里得空間下的佯謬解就是辛空間下的約當型解,而且通過(guò)標準的數學(xué)方法可以直接獲得所有佯謬問(wèn)題的解析解。
- Thus it is explained that a vector furc-tion space can be proiected into three uncrossed subspaces not only in Euclidean space but alsoin the subspace of vector wave functipn space. 由此說(shuō)明了一個(gè)矢量函數空間不僅可以通過(guò)它在歐氏空間中的射影分解為三個(gè)不相交的子空間,同樣可以通過(guò)它在矢量波函數系上的射影分解為三個(gè)不相交的子空間。
- Abstract: In this paper, we give the sets of radii which make the measures of balls and spheres finite but not infinitesimal respectively, in a Euclidean space of infinite dimension. 文摘:本文分別給出了使在無(wú)窮維歐氏空間中球體和球面具有有限的，但又不是無(wú)窮小的測度的半徑集合.
- It is shown that the monotone function acting between Euclidean Spaces R n and R m is continuous almost everywhere with respect to the Lebegue measure on R n. 證明了一個(gè)定義于Rn 至Rm 歐幾里德空間的單調函數在Rn 的Lebegue測定意義上是幾乎處處連續的
