严格上界

Similar to [KV2], for a Dynkin-algebra A, we prove that there is a bijection between the bi-aisles in Db and thestrictly full triangulated subcategories of Db which are closed under direct sum-mands.

运用[KV2]中的技巧，对Dynkin型k-代数A的模范畴的有界导出范畴Db，我们证明了其上的双aisles与其上的严格的且关于直和项封闭的三角满子范畴存在着一一对应的关系。

Let f be defined for all nonnegative x, and suppose that it is continuous, strictly increasing and bounded on its domain.

令f定义在一切非负的x 上，并在定义域内连续、严格递增和有界。

Applying the De Caen"s inequality of sum of the squares of the degree and Cauchy"s inequality, we obtain a strict lower bound and a strict upper bound of the largest Laplace eigenvalues only in terms of vertex number of a unicycle graph. Applying the Laplace matrix theorem of trees, we obtain an upper bound of the second smallest Laplace eigenvalues of a unicycle. Extremal graph whose second smallest Laplace eigenvalues reach the obtained upper bound is determined. We also obtain an upper bound of the second largest Laplace eigenvalues in terms of vertex number of the largest connected branch of unicycle graph, and obtain a theoretical method to calculate the second largest Laplace eigenvalues of unicycle graph. We obtain an upper bound of any Laplace eigenvalues in terms of vertex number of a unicycle graph. We also obtain the distribution of Laplace eigenvalues in the inter [0,n] in terms of the matching number.

本文得到了以下几个方面的结果： 1、利用图度平方和的De Caen不等式和Cauchy不等式给出单圈图的最大Laplace特征值仅依赖于顶点数的严格的上下界；利用树的Laplace理论给出了单圈图次小Laplace特征值的一个上界，并刻画了达到该上界的极图；利用子图的连通分支的顶点个数给出了单圈图次大Laplace特征值的一个上界，并给出了单圈图次大Laplace特征值一个理论上的一个求法；利用单圈图的阶数给出了其一般Laplace特征值的一个上界；利用单圈图的匹配数给出其Laplace矩阵谱在区间[0，n]上的分布情况。

In this paper, we give the upper bounds for inverse elements of strictly diagonally dominant periodic tridiagonal matrices.

本文给出了严格对角占优的周期三角矩阵逆元素的上界估计。

On the other hand, when we are proving the upper bounds of the Hausdorff measure functions for the level sets, although we get the answer to the cases for the symmetric processes, we had to consider multi-integral of highly dimensional functions, the proof is quite complex. Therefore, we suggest that the proof for the corresponding problem needs some new ways.

另一方面，我们在证明严格稳定过程的水平集的Hausdorff测度函数的上界时，虽然我们得到了对称的多参数稳定过程的水平集的Hausdorff测度函数上界，但是我们的方法必须考虑多重的高维积分，其证明过程也已经相当复杂，因此，我们认为，为了得到一般的严格稳定过程的水平集的Hausdorff测度函数上界，还需要引入其它新的研究方法。

This information flow model satisfies the characteristics of finite lattice and least upper bound operator in existing literature. It is reasonable and safe, and it is an expansion of information flow model based on BLP Model.

经严格的数学证明，这个模型满足已有文献的有限格和最小上界运算符性质，是合理和安全的，它是基于BLP信息流模型的一个扩展。

For example,,,where .2.Convergence of the iterative method: firstly I give a new upper bound for the spectral radius of iterative matrix , where is a double strictly diagonal dominant matrix.

迭代法的收敛性分析：首先给出了一般迭代阵谱半径新的上界估计，其中矩阵为双严格对角占优矩阵，是一种比严格对角占优更广泛的矩阵类。

In order to ensure the strict feasibility of the optimal solution, in the lower-level of program, the constraints are imposed on the confidence upper bounds of the structural responses by constructing the "bounding ellipsoid", which can be obtained efficiently by solving some convex LSDP problems.

对于下层优化问题，本论文构造定界椭球，通过求解凸的LSDP模型来得到结构最不利响应的一个严格上界，确保了鲁棒结构优化设计的可置信性。

The sub-task allocation was transformed into set-covering problem, and a greedy heuristic algorithm was proposed. Then, the convergency and supremum of the algorithm were proved.

3基于集覆盖的概念，将任务分配问题转化为集覆盖问题，提出了一种严格启发式的优化算法，并给出了该算法搜索结果的上确界。

As soon as the story developed on builds up ties, Jake Captain who gets a swelled head has not resisted the female sexual attractiveness the enticement, has hit Elizabeth's idea, is dragged into controls by David · Jones "the dead area", trades a speech to say was Jake Captain has already died, but he "died" and that kind of strict significance death is dissimilar--He also can "come back", only is needs to depend on the human to save.

故事发展到上一集结束，烧包的杰克船长到底没有抵住女色的诱惑，中了伊丽莎白的计，被拉入由戴维·琼斯控制的"死界"，换一句话说就是杰克船长已经死了，但他的"死"与那种严格意义的死亡还不一样--他还能够"回来"，只是需要靠人拯救而已。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。