界

Suppose that f is a real-valued ω〓-lower semicontinuous function defined on a ω〓closed bounded subset A〓 of the dual E〓 of a locally convex space E, which is bounded below on A〓, and suppose every ω〓 closed convex subset of C〓≡ω〓-clcoA〓 is the ω〓closed convex hull of its w〓-β-exposed points.

假设X是一个局部凸空间，X〓是其对偶。A〓是X〓上的ω〓有界闭子集，f是A〓上的ω〓-下半连续实值函数且在A〓上下有界。

The inverse radius vector transform is applied in this paper to change the boundless space into a bounded domain,so that the finite element method can be used in computing electromagnetic fields with open boundaries.

目前，在电磁场数值分析中，有限元法得到了广泛的应用，但一般都认为有限元法适用于有界空间中的电磁场问题，这是因为对于无界空间中的电磁场问题，方法的直接应用存在着一定的困难。

Bounded one-way function is a new cryptographic primitive proposed for the foundation of practical cryptography.

有界单向函数是一个新的密码学概念。有界单向函数是为了研究设计更为灵活、更实用的密码系统的基础而提出的。

The uniform bounded stable condition of the residual and its to nonlinear perturbations are proved by using Lyapunov function and uniform bounded lemma.

并利用Lyapunov函数和一致有界引理证明了故障检测残差信号的一致有界稳定条件和对非线性扰动的鲁棒性。

Under some suitable assumptions, a global error bound for the solution to the second-order cone complementarity problem is established and the level of every merit function is bounded based on these merit functions.

在某些条件下，基于这类效益函数建立了二阶锥互补问题解的一个全局误差界及这类函数的水平有界性。

Firstly, we get the necessary and sufficient conditions for Toeplitz operators that commutes with another such operator whose symbol is a monomial, meanwhile, we completely characterize when the mellin transform of the bounded function on the interval 0,1 is a rational function.

首先得到了以有界函数为符号的Toeplitz算子和以单项式函数为符号的Toeplitz算子可交换的充要条件，同时给出了0，1区间上的有界函数的Mellin变换为有理函数的充要条件。

Based on the delta operator bounded real lemma, sufficient condition with an H〓 norm bound on closed loop uncertain systems and state feedback design are provided.

基于Delta算子的界实引理，给出了闭环不确定系统具有H〓范数界的充分条件及状态反馈设计方法。

The authors prove that if the kernel satisfies certain conditions, then the convolution operator is bounded from L to BMO or from BMO to BMO.

证明了如果卷积算子的核满足适当的条件，则算子是L到BMO有界的或是BMO到BMO有界的。

Brown and Halmos [3] showed that the only compact Toeplitz operator on the Hardy space is the zero operator and a Toeplitz operator is bounded on the Hardy space if and only if its symbol is bounded.

Brown和Halmos[3]证明了经典Hardy空间上只有零算子才是紧的Toeplitz算子，并且证明了Toeplitz算子有界等价于它的符号是有界的。

In Chapter Three, we use the method of interpolation spline of differential operater to come up with the reproducing kernel in H01 with respect to bounded linear operator in H10. Then we use the reproducing kernel to develop the expression of the best approximating of bounded linear operator in H10 and prove its convergence.

第三章中，对于H_0~1中的有界线性算子，用微分算子插值样条函数的方法给出了H_0~1空间中的再生核，利用此再生核给出了H_0~1上的有界线性算子的最佳逼近的表达形式，并证明了其收敛性。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。