查询词典 integral operator

Based on the analysis of existed fuzzy integral theories, the notions of the Choquet upper and lower fuzzy integral and rough interval numbers' integral form were proposed; the rough properties of Choquet fuzzy integral and an information fusion method based on rough Choquet fuzzy integral were given.

在分析现有模糊积分理论的基础上，提出了Choquet上、下模糊积分的概念和粗糙区间数的积分形式，给出了Choquet模糊积分的粗糙特性，建立了基于粗糙Choquet模糊积分形式和信息融合方法。

Triple integral and surface integral are first simplified through the alternation of integral variable and integral extent and then calculated in other ways so that the two kinds of integral calculation can be made simple.

探讨了轮换对称性在积分计算中的应用，利用积分变量与积分区域的轮换对称性先简化重积分及面积分，然后再采用其它方法来计算，使这两类复杂的积分计算变得简单。

First we prove that 0 is an eigenvalue of the operator with geometric multiplicity one,next we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator,last we prove that 0 is an eigenvalue of the adjoint operator of the operator.

首先证明0是对应于该排队模型的主算子的几何重数为1的特征值，其次证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，然后证明0是该主算子共轭算子的特征值。

This problem has been overcome with an iterative inversion that uses an imaging operator and its adjoint along with a regularization operator.;The imaging operator used in the inversion process is a linear operator relating reflectivities to data.

这个问题已经克服了迭代反演，使用成像算子及其伴随连同正规化运营商。；的影像操作中使用的反演过程是一个线性算子有关的反射率的数据。

While touchscreen operator terminals remain the fastest growing and most publicized sector of the Chinese operator terminal market, non-touchscreen terminals, including text displays, text operator terminals, and graphic operator terminals, are still displaying a steady growth rate in China, according to a new market report released by IMS research.

根据IMS调查公司发布的市场报告，触摸屏操作终端在中国的操作终端市场保持着最快速的增长，并成为最引人注目的部门，但与此同时非触摸操作终端，包括字符显示、字符操作终端和图形操作终端，也显示了稳定的增长速率。

Thirdly,quasi-normal inequalities of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales areidentified by the use of martingale transforms and by the construction of convex or concave function method;on this basis and with the help of previsiblity or regu-larity,Burkholder-Davis-Gundy\'s inequality of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales are iden-tified by the application of Hardy-Lorentz interpolation theory.At the same time,bythe use of G.

再次，应用鞅变换和构造凸或凹函数方法证明了标量值可料树鞅的α-方极大算子和α-条件方极大算子的拟范数不等式；然后，在这些拟范数不等式的基础上，应用Hardy-Lorentz空间插值方法证明了当树鞅是可控或正规树鞅时关于标量值可料树鞅α-方极大算子和α-条件方极大算子的Burkholder-Davis-Gundy's不等式成立。

The controller makes the closed-loop systems internally stable and minimizes the H2 norm of the transfer matrix Tzw from w to z. Two Riccati formulae based on 8 operator is deduced. The H2 problems for continuous time systems, Z operator models and 8 operator models are investigated respectively.The guaranteed cost control problem of robust stabilization and robust performance for uncertain systems which is described by 8 operator is discussed in this paper.

采用Riccati方程处理方法讨论了基于Delta算子描述下的离散系统存在输出反馈控制器的问题，得到了两个基于Delta算子的Riccati方程，设计了Delta域的输出反馈控制器，使得闭环系统内稳定，且满足从w到z的传递矩阵T_的H_2范数最小，设计了基于Delta算子描述下的离散系统的最优控制器，并与S域和Z域的H_2控制器进行了比较。

According to this method, on the basis of ontology, the requirement of dynamic revising service cases and the description of revision operator are presented under the same circumstance, and the capacity of revision operator can be described with two respects of interaction environment and changes. Furthermore, the model of resource states transition graph is presented to realize the transition from the description of the capacity of revision operator to the resource states of revision operator. Finally, a verification method concerning the dynamic revision of service cases is presented to improve the revision and verification automatically.

将动态调整需求和调整运算子的描述统一在它们共同的环境的基础之上；并建立了调整运算子的交互环境本体，在本体的基础上，从调整运算子交互的环境以及调整导致的环境的改变两个方面描述调整运算子的能力；提出调整运算子能力的资源状态变迁图模型，实现了从调整运算子能力描述到调整运算子的资源状态变迁图模型的转换；还较为系统地提出了与基于范例推理服务组合相关的范例动态调整的验证方法，提高了服务范例调整和验证的自动化程度。

In chapter 2, we define a new operator—the minimal operator on martingale space, it's well known that the maximal operator controls where given martingale f is large, intuitively, we say that the minimal operator controls where a martingale is small.

第二章引入了鞅空间上极小算子mf的概念，众所周知，极大算子可以控制一个"较大"的鞅，那么形象地说，极小算子就是用来控制那些"较小"的鞅，因此，在研究关于极小算子的加权不等式时，很自然地要估计诸如〓，log mf等算子的值。

In addition, we also give the characteristic of uniformly integrable martingale in the rearrangement invariant martingale space and the relationship between one martingale and the accompanying martingale associated with it which is particular in the rearrangement invariant martingale space under the action of some most important martingale operators such as maximal operator, square operator, the greater operator and the smaller operator.

此外我们还考虑了重排不变鞅空间中的鞅是否一致可积的特征以及极大算子、均方算子和上、下算子在重排不变鞅空间及其相伴鞅空间上作用的特殊性质。

Looking to bounce back from defeat against Cesena last weekend, the Calabrian boss will be sticking to his tried and tested 4-3-3, with Lopez and Sedivic joined up front in Giampaolo's absence by either Nanni or Plasmati.

鉴于上周末对切塞纳的比赛中反败为胜，这支南方球队将会更坚持其一贯而有效的4-3-3阵型，洛佩斯和塞德维奇将取代受伤缺席的詹保罗，和纳尼或者帕斯马蒂中的一个搭档锋线。

Meanwhile, their exposure to the more freewheeling ways of the West broadened dramatically.

另外，西方较自由的生活方式对年轻人的影响增大。