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 THE OPIAL PROPERTY IN MEASURE AND EXTREME POINTS IN L_1[a,b] L_1[a,b]中依测度收敛的Opial性质及端点 短句来源 Some criteria of the extreme points on the closed unit sphere of Orlicz spaces(L_(?) ~*,‖·‖_(M))and(L_M~*,‖·‖_M)are obtained. 本文研究Orlicz 空间的端点问题,给出了Orlicz 空间(L_M~*,‖·‖_(M))及(L_M~*,‖·‖_M)的闭单位球中的某一点是端点的充要条件. 短句来源 Extreme Points in Orlicz Spaces Orlicz空间的端点 短句来源 Strongly Extreme Points in Banach Sequence Spaces Banach序列空间的强端点 短句来源 In this paper, using the properties of Kothe function spaces and the relation between Kothe function spaces and Kothe-Bochner spaces, we discuss rotundity in Kothe-Bochner spaces E(X), the main results are as follows: (a) We give the sufficient condition of extreme points of E(X), obtain a criterion for strict rotundity of these spaces, and accordingly generalize the results of Lp(μ, X) and Lφ(X); 本文利用Kothe函数空间的性质以及Kothe函数空间与Kothe-Bochner空间的关系,讨论了Kothe-Bochner空间E(X)的凸性,主要结果如下: (a)给出E(X)的端点的充分条件,得到了E(X)严格凸的判据,相应地推广了Lp(μ,X) 以及Lφ(X)的结果; 短句来源 更多 极值点
 Suppose T = {f(z):f(z) is analytic in |z| < 1, f(z)=z+ ,an is real,|an|≥|an+1|,≤1}. In this paper the extreme points and support points of T are obtained. 设T={f(z):f(z)在单位圆盘|z|<1上解析,f(z)=z+,an是实数, |an|≥|an+1|且|an|≤1}．该文找出了解析函数族T的极值点与支撑点. 短句来源 ? Suppose that G={f(z):f(z) is analytic in |z|<1, f(z)=∑∞n=2a nz n, a n≥0, ∑∞n=2na n≤1, ∑∞n=3n(n-1)a n≤2a 2}. In this article the extreme points and suport points of G are researched . 设G＝｛f（z）：f（z）在｜z｜＜1上解析，f（z）＝z－∑∞n＝2anzn，an≥0，∑∞n＝2nan≤1，∑∞n＝3n（n－1）an≤2a2｝．本文找出了函数族G的极值点与支撑点． 短句来源 The support points of S_o (α), K_o, K_o' were give in this paper. The closed convex hulls and the extreme Points ofS(K_o), S(K_o') were determined respectively. 本文给出了S_(t_0)(α),K_0,K_(0'),C_0的支撑点,并决定了S(K_0),S(K_(0'))的闭凸包与闭凸包的极值点。 短句来源 A new class M_k (p; α, A, B) of meromorphic p—valent functions with positive coefficients is introduced. Sharp distortion theorems, radius of meromorphic convexity and extreme points are obtained for the class M_k(p; α, A, B). 本文引进具有正系数的亚纯p叶函数的新类M_k(P;α,A,B),得到了准确的偏差定理,亚纯凸性半径和极值点; 短句来源 In this paper, the extreme points and support points of class S_H(△,Ω)of the univalent, harmonic functions are determined. Thus the linear extremum on the S_H(△,Ω)can be solved. 本文确定了单叶调和函数族S_H(△、Ω)的极值点与支撑点,从而解决了该族上的线性极值问题。 短句来源 更多 极端点
 This article discusses some criteria for extreme points and smooth points of the unit sphere S(J(η)‖·‖)of long James spaces(J(η),‖·‖), and gives the formula for Gateaux differentiation of the norm‖·‖at the smooth points. 本文讨论长James空间(J(η),‖·‖)单位球面S(J(η),‖·‖)上极端点和光滑点的判定定理,并给出在光滑点处范数‖·‖的Gateaux微分公式, 短句来源 This article gives some criteria for extreme points and non-extreme points(necessary and sufficient conditions, and sufficient conditions) of the unit ball U(X_B) of Baernstein Ⅱ space X_B, and introduces some examples. 本文给出了BaernsteinⅡ空间X_B的单位球U(X_B)的极端点和非极端点的判别法(充要条件和充分条件),并举一些例子。 短句来源 This article gives some criteria for extreme points and non-extremepoints (necessary and sufficient conditions, and sufficient conditions) ofthe unit ball U(X_B) of Baernstein Ⅱ space X_B, and introduces someexamples. 本文给出了BaernsteinⅡ空间X_B的单位球U(X_B)的极端点和非极端点的判别法(充要条件和充分条件),并举一些例子。 短句来源 THE EXTREME POINTS AND SMOOTH POINTS OF THE UNIT SPHERE OF LONG JAMES SPACE 长James空间单位球面上的极端点和光滑点 短句来源 In this paper, the closed convex hull, extreme points and support points of the class of Robertson functions are determined by linear homeomorphism. 本文借助线性同胚关系,确定了罗勃生(Robertson)函数族的闭凸包、极端点和支撑点。 短句来源 更多 “extreme points”译为未确定词的双语例句
 In the direction perpendicular to the long axis of the coronary sinus orifice, the anterior and posterior extreme points were 4.9±2.5 mm and 9.9±4.2 mm respectively, away from the atrioventricular nodal artery, which crossed the long axis of the coronary sinus orifice at an angle of 21.2±15.6°. 房室结动脉距冠状静脉窦口前、后点的距离分别为(4.9±2.5)和(9.9±4.2)mm,与窦口长轴成(21.2±15.6)°的交角。 短句来源 It is shown also that there always exist infintely many extreme points onthe closed unit sphere of(L_M~*,‖·‖_(M)). 且指出(L_M~*,‖·‖_(M))中的闭单位球必存在端. 短句来源 Preserving Extreme Points in Banach Spaces Banach空间的对偶保持性质 短句来源 A Characterization of Extreme Points in Orlicz Function Spaces Orlicz函数空间单位球端点的一个重要特征 短句来源 CALCULATING CONTOUR LINE OF NURBS SURFACE ──A TRACING METHOD BASED ON EXTREME POINTS 求NURBS自由曲面的等值线─—一种基于极值点的追踪方法 短句来源 更多 查询“extreme points”译词为用户自定义的双语例句

我想查看译文中含有：的双语例句  extreme points
 Some properties of the set of extreme points of the unit ball of a Banach space In  it was proved that the unit ball of a reflexive Banach space has an uncountable set of extreme points. The extreme points of the unit ball of certain spaces of operators In this note we discuss the set of extreme points of the unit ball of certain spaces of mappings. A sufficient condition for the existence of a continuous selector of representative measure, concentrated at the extreme points of a convex metrizable compactum, is considered. 更多 The constraints used in optimum design are determined by design criteria on the basis of elastic analysis. The most effective constraints are found by successful design experiences. A direct optimization method-the "net and search" method is then introduced in which a "net" is placed in the "most effective constraint surface". The process leads rapidly to a limit within some preselected tolerance, and no extreme points can be missed after a subsequent "search". The computer program is relatively simple... The constraints used in optimum design are determined by design criteria on the basis of elastic analysis. The most effective constraints are found by successful design experiences. A direct optimization method-the "net and search" method is then introduced in which a "net" is placed in the "most effective constraint surface". The process leads rapidly to a limit within some preselected tolerance, and no extreme points can be missed after a subsequent "search". The computer program is relatively simple and straightforward. A feature of this method is that the intermediate results-which can be printed or plotted as graphs-are intuitive as they show clearly how the objective function varies with the parameters to be optimized, this is well suited to engineering applications. 在弹性力学分析和结构设计分析的基础上,可以建立一个很好的设计模型,而成功的设计经验则可从中找出最有效的约束。由此就可采用一个直接寻优方法——筛网法,其搜寻区局限在最有效约束面上,它的计算程序简捷,中间结果可打印或绘成曲线,直接反映目标函数与最优参数之间的关系,十分直观,便于工程应用。 This paper presents a method which may solve the quasi-geometric pro- gramming by means of a sequential geometric programming. In the method the dual problem of geometric programming is transformed into a maximizing pro- blem with the same constraints and logarithm objective function. It has been proved that both the problems have the same extreme point. The latter is solved by using a sequence of quadratic programming-GDQ algorithm. Further, in this paper the quasi-G. P. problem is actually solved by... This paper presents a method which may solve the quasi-geometric pro- gramming by means of a sequential geometric programming. In the method the dual problem of geometric programming is transformed into a maximizing pro- blem with the same constraints and logarithm objective function. It has been proved that both the problems have the same extreme point. The latter is solved by using a sequence of quadratic programming-GDQ algorithm. Further, in this paper the quasi-G. P. problem is actually solved by an iterative se- quence of GDQ. The pratical applications show that the above metioned method is quite efficient. 本文提出的算法是将拟几何规划通过Ｄｕｆｆｉｎ公式等缩并办法化为序列几何规划 去逼近，再将几何规划的对偶问题化为相同约束下对数目标的极大化问题。为此，证 明了这两个问题具有相同的极值点。对于后一问题，采用序列二次规划解法ＧＤＱ 逼近之。所以，对于拟几何规划，实际上采用了序列几何规划对数对偶问题的序列 ＧＤＱ方法进行求解。 将上述算法通过一种特形式的几何规划进行了数值实验，算例表明该方法求解拟 几何规划是高效的。文中对一些结构优化问题进行应用，其中油船横仓壁和舯剖面优 化的效果是显著的。 This paper represents a simple method of reduction of dimensionality using the geometrical model of extreme points. The high-dimensimed sample points are projected to a 2 or 3 dimensioned space, keeping the similar relationship between original points. In this way, one can see the clustering distribution of high-dimensioned points in a plane of two dimensions. 对高维样品点的降维是多元统计分析中一项重要的内容,在研究多指标样品的聚集、分带和对比中有着非常广泛的用途.本文借极点的几何模型引出一种简单的降维方法,把高维的样品点投影到二维或三维空间中,并保持原样点之间的相似关系,以便我们能在二维平面上直观地看到高维点的聚集分布情况. << 更多相关文摘 相关查询

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