下界

At first we establish two lemmas for C〓-functionals defined on finite dimensional spaces. These lemmas describe the behavior near infinity of a functional that is bounded from either above or below.

我们首先对有限维空间上的C〓-泛函建立两个引理，它们实际上完全描述了有上界或有下界的泛函在无穷远处的行为。

This paper gives a smooth variational principle of lower semicontinuous functions which are bounded below on each bounded set.

本文给出了在每个有界子集上有下界的下半连续广义实值函数的一个光滑变分原理。

This result can best be viewed as a quantum black hole version of the third law of thermodynamics. As a result of this area spectrum, the spectrum of M is discrete, bounded below, and can be made positive. Prom the physical point of view, the semiboundedness and positivity of the spectrum are very satisfying results: The semi-boundedness of the spectrum implies that one cannot extract an infinite amount of energy from the system, whereas the positivity of the spectrum is in agreement with the well-known positive-energy theorems of general relativity.

同时根据EMDA黑洞动力学，存在与面积谱对应的大于零且有下界的质量离散谱，从物理上来看，质量谱的半有界性意味着不可能从系统吸取无限的能量，而正定性则与广义相对论中的正能定理一致，也就说稳态轴对称EMDA时空的ADM能量总是大于零。

Most of variants of EDF concentrate the guarantee of upper delay bounds. For the terminals with poor buffer resources, lower delay bounds also need to be provided by network.

现有的各种EDF改进算法，主要着眼于提供延迟上界的保证能力，而当采用机顶盒之类的缓冲能力较弱的设备作为客户终端时，还需要网络提供精确的延迟下界控制能力。

By using the character of Cayley graph, we establish the tight upper and the lower bounds of forwarding index for circulant graph.

利用循环图是Cayley图的性质，获得循环图的点转发指数和边转发指数紧的上界和下界。

The title of this article is the estimate of the essential norm of a compositionoperator between Bloch-type spaces in the unit ball of C^n. That is to say, making useof the tool of the essential norm ,we get the upper estimate and the lower estimate ofthe composition operator which we have studied .In addition, we get a sufficient andnecessary condition for the composition operator to be compact.

本文主要讨论了单位球上Bloch型空间之间复合算子的本性模估计，即用本性模这个工具来研究复合算子并给出了我们所研究算子的本性模的上界和下界估计，并由此可以得到相应算子紧的充要条件。

In this paper, the computation of original likelihood function is transformed into the optimal problem of its low bound through the conjugate representation of the convex function, and a additional parameter is introduced to control the smoothing degree of low bound, and so the performance of local optimal solution can be improved.

我们利用凸泛函的对偶性，将原似然函数的复杂计算问题转化为对其下界函数的优化问题，从而降低学习算法的复杂性；并通过引入一个参数来控制下界函数的光滑程度来改善局部最优解的性能；指出了传统的期望最大化算法(Expectation Maximization Algorithm)是变分学习算法的特殊情况。

Moreover, the smallest degree sum on potentially K(p,1,1)-graphic sequences and k-cycle-graphic sequences are given respectively; bounds on m-restricted edge connectively and 3,4-restricted edge cut of graphs are also characterized respectively.

此外，还分别给出了蕴含k圈和（p，1，1）-部图可图序列度和的下界；分别给出连通图含m-限制边割的充分条件和必要条件及连通度的界。

Ii The problems of optimal control of piecewise linear affine descriptor systems are studied by using some elementary matrix transformations and line matrix inequalities.

二、运用初等矩阵变换和线性矩阵不等式，初步研究了分段线性仿射广义系统的二次最优控制问题，得到了系统二次最优控制的上界、下界，估计成立的条件。

In chapter 3,we prove that a complete noncompact n-dimensional Riemannian manifold M whose Ricci curvature Ric_M ≥(n- 1) has finite topological type or diffeomorphic to R~n if its Excess function has some upper bound at a point.

第三章，我们证明了对于Ricci曲率Ric_M≥-(n-1)的完备非紧n维Riemann流形M，若它的共轭半径有正的下界且共轭半径的某个函数为M在某一点的Excess的上界时，它就有有限拓扑型或者微分同胚于n维欧几里德空间。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。