查询词典 locally convex space

Human teeth are locally donated and sterilised, and human hair is either locally donated or sourced from India and China.

人的牙齿由本地捐赠并消毒，头发部分来自本地捐赠，部分来自印度和中国。

To check the accuracy of calculation, based on the global one, the meshes of the 19th to 21st dam blocks are locally densified. The results from the locally densified mesh are compared with that from the global one. The coincidence of the two results demonstrates the adequacy of accuracy of the global mesh.

为验证大坝整体有限元网格的计算精度，在大坝整体有限元网格的基础上，局部进行了有限元网格的细分，粗细网格的计算结果得到较好的吻合，证明整体网格精度是足够的。

Shop locally. Shopping locally is a key element to being a Slow Foodie.

从当地购买食材是慢食的关键所在。

The objectives of this thesis are the congruences on locally inverse semigroups, locallyL-unipotent semigroups and the structures of locally orthodox semigroups.

中文摘要：本文的研究对象是局部逆半群、局部L-幂单半群上的同余和局部纯正半群的结构。

Moreover,in the light of constructingan one-to-one mapping which preserves ordering,it is shown that each locally fmitetree martingale is isomorphic to a Cairoli-Walsh martingale,and in virtue of which,the convergence of locally finite tree martingales is shown by the use of Cairoli-Walshmartingale theory.

进一步，通过构造一个保序一一映射，证明了每个局部有限树鞅同构于一个多指标鞅(Cairoli-Walsh鞅)，这就在树鞅与多指标鞅(Cairoli-Walsh鞅)之间建立了联系，接着利用这种联系与Cairoli-Walsh鞅收敛理论证明了局部有限树鞅收敛定理。

First,we consider the lower semicontinuity property fora functional with linear growth in LDΩthe second, in the SBD space,we discussthe lower semicontinuity of an integral functional that the integrand is a Carathéodoryfunction and that satisfies a symmetric quasi-convex assumption, by the compactnesstheorem of the SBD space,blow-up method and Morrey theorem,prove that integral functional is lower semicontinuous with respect to L~1- convergence;then by using theone-dimentional sections method and the structure theorem of the BD functions, dis-cuss the lower semicontinuity of the integral functional in the whole BD space.

首先我们考虑LD空间满足线性增长的积分泛函的下半连续性；其次在SBD函数空间讨论了被积函数为Carathéodory函数时的积分泛函在满足对称拟凸条件时的下半连续性，主要利用SBD函数空间的紧性定理和blow-up方法以及Morrey定理等给出了积分泛函关于L~1-强收敛的下半连续性；然后利用BD函数的一维截断方法和结构定理，讨论了在BD全空间上的积分泛函的下半连续性。

In this paper, we present a nonmonotone line search model algorithm for the nonsmooth composite minimization problems minhf(x, where each f: Rn→Rn is a locally Lipschitzian function, and h: Rn→R is a continuously differentiable convex function.

1引言考虑下面的复合极小化问题minF=hf(x，(1 。1)二〔丫其中f：R"一R"是局部Lipschitz函数，h：Rn一R是下有界的连续可微的凸函数。对于问题(l 。1)，QIL、袁亚湘和孙文瑜等z1一

It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.

主要研究了〓数乘收敛级数的对偶不变性，〓数乘收敛级数的全程不变性，有基空间中的〓数乘收敛级数，无穷矩阵拓扑代数〓中的紧集，〓在不同拓扑下具有相同紧集的刻划，〓的弱序列完备性，Schur—矩阵的刻划，p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。

Applying the convexification of nonconvex function and the theorem in Chapter 2, we establish the perturbed optimization in the bounded subsets of the dual of locally convex spaces

运用非凸函数凸化的方法以及第二章给出的命题，在局部凸空间的对偶空间的有界子集上建立相应的的扰动优化和变分原理

Upward dual pairs, dual theorem, positive extension, L-topology, semi-bounded, ordered locally convex spaces.

上偶对，对偶定理，正延拓，L-拓扑，半有界，半序局部凸空间，局部体空间

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。