递减的

Paul Erds once posed the following problem about real line R: is it true that, for every infinite set X, there is a closed set E with positive lebesgue measure such that E doesn't contain any subset similar to X (I.e., there is no subset of E, which is a linear homeomorphic image of X). In 1984, K. J. Falconer proved the following: for a decreasing sequence of positive numbers {xn} such that \%lim\%xn=0 and \%lim\%(xn+1)/=1, Erds problem has a partial positive answer.

叶盛 Paul Erds曾提出如下关于实直线R的问题：是否对R的每一个无限子集X，都存在一个具有正测度的闭子集E，使得E的任何子集都不相似于X(E的任何子集都不与X线性同胚)。1984年，Falconer证明了如下结论：对于一个满足limxn=0和lim(xn+1)/=1的单调递减的正实数列{x n}，Erds问题有一个部分肯定的解答。

We construct a kind of special matrix function, which is used to characterize the minimization property of this iterative method, and prove that the approximate solution, generated by this iterative method, minimizes this kind of matrix function over a special affine subspace, which means that the Frobenius norm of the residual sequence is strictly monotone decreasing.

通过构造一类特殊的矩阵函数来刻画该迭代方法的极小化性质，并证明了由该迭代方法计算出来的逼近解，可使得这类矩阵函数在一个仿射子空间上达到极小，而且所得到的残差序列的Frobenius范数是严格单调递减的。

And there is a significant negative correlation between the investor protection and corporate cost of equity.

研究结果表明，在我国证券市场发展的历史实践中，随着中小投资者法律保护措施的加强，上市公司的权益资本成本出现一个逐步递减的过程现象；在控制公司特征和宏观经济变量的情况下，中小投资者法律保护程度与上市公司的权益资本成本呈显著的负相关关系。

Xie-Beni index decreases with the number of partitions increasing. It is difficult to choose the optimal partition of data when the number of clusters is large. From the point of view of the compactness and the separation of clustering, a novel clustering validity function is proposed, which is based on the improved Huber Г statistic combined with the separation of clustering.

针对此问题，分别考察改进的Hubert Г统计量和聚类分离度，导出一个新的基于数据几何结构的聚类有效性函数，使得它有惟一的最大值，函数值随聚类个数增大而递减的趋势并不影响最优聚类个数的判定。

The uniqueness of solution of field point, inside a convex region due to singular source with kernel function decreasing with distance increasing, outside-region-distribution such that the boundary condition expressed by the response of the source is satisfied, is proved by using the condition of kernel function decreasing with distance increasing and an integral inequality.

应用奇源解的核函数沿距离递减的条件和积分不等式，可证这类奇源在凸域外分布只要满足以它产生的响应来表达的边界条件时，所引起相应的域内场点解是唯一的。

New growth thinks its germ depends on assuming capital limit accrual decreases successively indefinitely theoretically, begin to revise this kind to assume, formed the analytic framework of oneself, it is to assume capital limit accrual decreases successively indefinitely for one invariable and rather than; 2 be will be born at economic system inside technical factor, implicit assume capital limit tends degressively one plus.

新增长理论认为其根源在于假定资本边际收益无限递减，并开始修改这种假定，形成了自身的分析框架，一是假定资本边际收益为一常数而非无限递减；二是将技术因子内生于经济系统，隐含假定资本边际递减地趋于一正数。

At the same time, human capital focuses that human capital as a capital has no feature of deceasing marginal earnings because of human beings increasingly accumulative creativity, which leads to its theoretical breakthrough.

它从理论上将&人&与&资本&的某些特性进行嫁接，强调&人&作为资本时要追求自身投入的最大回报，而这种回报是不具有普遍资本边际收益递减的特征，因为&人&本身所特有的创造性以及不断积累的创造性使其回报有递增的趋势。

Declining balance method; reducing charge method In depreciation where the annual charge for depreciation is the amount obtained by applying a fixed percentage to the diminishing balance of the asset account, that is the balance after deducting preceding depreciation provisions; or by applying a diminishing rate to the original cost of the asset.

余额递减法；递减计提法即在折旧时采取以下方法计算年折旧额：（1）对资产帐户的递减余额（即扣减历年折旧额后的余额）使用一个固定的百分比；或（2）对资产的原始成本使用一个递减比率。

The basic relationship between the the first half-wave peak value of transient current and the initial firing angles is found by means of analytical method.The practical method is put forward to determine the initial two-phase and the third phase firing angles with the limiting value and the space vector varying track of transient current.And then the subsequent series of firing angles with the even step are calculated by using the speed at the time of re-switching.The suppressive effect to the inrush current is verified with simulation and experiment of rapid soft re-switching control,by which the influence of different speed to rapid soft re-switching course is analyzed besides.3 To analyze the power loss for typical periodically variable running load and deeply study the energy-saving principle and control mode of the intermittent power supply approach. Futhermore,the novel integrated energy-saving control technique is developed on base of the intermittent power supply approach.

通过解析方法找到快速软投入初始触发角与瞬态电流首半波峰值加热板之间的基本关系，进而提出了由限流值和空间向量轨迹确定初始两相和第三相触发角的方法，并以固定步长均匀递减的方式由投入时转速计算出其它后续触发角；结合仿真和实验验证了快速软投入对冲击电流的抑制作用，并分析了不同转速下投入时对电源快速软投入过程的影响。3对典型周期性变工况负载特性进行能耗分析，深入研究断续供电节能机理和控制模式，并进一步发展了以断续供电为主的综合节能控制新技术。

The basic relationship between the the first half-wave peak value of transient current and the initial firing angles is found by means of analytical method.The practical method is put forward to determine the initial two-phase and the third phase firing angles with the limiting value and the space vector varying track of transient current.And then the subsequent series of firing angles with the even step are calculated by using the speed at the time of re-switching.The suppressive effect to the inrush current is verified with simulation and experiment of rapid soft re-switching control,by which the influence of different speed to rapid soft re-switching course is analyzed besides.3 To analyze the power loss for typical periodically variable running load and deeply study the energy-saving principle and control mode of the intermittent power supply approach. Futhermore,the novel integrated energy-saving control technique is developed on base of the intermittent power supply approach.

通过解析方法找到快速软投入初始触发角与瞬态电流首半波峰值之间的基本关系，进而提出了由限流值和空间向量轨迹确定初始两相和第三相触发角的方法，并以固定步长均匀递减的方式由投入时转速计算出其它后续触发角；结合仿真和实验验证了快速软投入对冲击电流的抑制作用，并分析了不同转速下投入时对电源快速软投入过程的影响。3对典型周期性变工况负载特性进行能耗分析，深入研究断续供电节能机理和控制模式，并进一步发展了以断续供电为主的综合节能控制新技术。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。