The inclusion-exclusion and generalized inclusion-exclusion principle can be viewed as e-numeration principles corresponding to some special "operative set functions".

1、

Under suitable conditions, we give some theorems connecting multiobjective fractional programming with set functions and its scalarization problems as well as the corresponding saddle point problems.

在一定条件下，论证了集函数多目标分式规划问题与其相应的标量化问题以及鞍点问题之间的密切关系。

互联网摘选

2、

Systematically discusses the fundamental theorems of weak efficient solution, efficient solution and properly efficient solution for multiobjective fractional programming problems with set functions.

系统地讨论了集函数多目标分式规划的弱有效解、有效解和真有效解的基本定理。

互联网摘选

3、

A multiobjective optimization problem involving n set functions is considered. Optimality conditions and duality results are obtained under generalized convexity conditions.

研究了n集函数的多目标优化问题，在广义凸条件意义下，获得了n集函数优化问题的最优性条件和对偶结果。

互联网摘选

4、

However, in some real problems, it seems more reasonable that the set functions are interval or fuzzy numbers.

但在一些实际问题中，集函数取区间数或者模糊数更加合理。

互联网摘选

5、

Multiobjective fractional programming with set functions

集函数多目标分式规划

互联网摘选

6、

Generalized Convex Duality for Multiobjective with Set Functions

集函数多目标规划的广义凸对偶性

互联网摘选

7、

Decomposition for Additive Fuzzy Set Functions

关于可加模糊集函数的一种分解

互联网摘选

8、

On the Absolute Continuity of the Abstract Set Functions

取值于巴拿赫空间的绝对连续集函数

互联网摘选

9、

Second Order Necessary Optimality Conditions for Multiobjective Programming with Set Functions

集合函数多目标规划弱有效解的二阶必要条件

互联网摘选

10、

On the theory of differential and integral calculus of set functions

集函数的微积分

互联网摘选

11、

Lagrange Duality Theorem for Multiobjective Programming with Set Functions

集合函数多目标规划的拉格朗日型对偶定理

互联网摘选

12、

The Second Order Optimality Conditions for Multiobjective Programming with Set Functions

集合函数多目标规划的二阶最优性条件

互联网摘选

13、

You can show that if you put a detector on either slit the wave probability function changes but that not explaining why it happens, its just saying this is the way it does happen.

可以向别人展示，如果在任何一条缝旁边放一个检测器，波概率函数会发生变化，但是那并不能解释为什么会发生，它只告诉人们变化就是这样产生的。

互联网摘选

14、

In order to discuss the transmission properties of the monochromator, we intro-duced the concept of the slit function F_3(λ,λ_0).

为了讨论单色仪的传输特性，本文中引入了狭缝函数F s（λ，λo）的概念。

互联网摘选

15、

OPO-CARS thermometry and influence of slit function on precision

CARS光谱测温及仪器狭缝函数对测量的影响

互联网摘选

16、

In order to increase the precision of CARS temperature measurement, the slit function of the detection system is studied and determined.

为了提高CARS测量温度的精度，测量和分析了检测系统中狭缝函数对测量结果的影响，确定了狭缝函数的具体形式。

互联网摘选

17、

The magnetic order of a special quasi-one-dimensional Heisenberg antiferromagnetic spin model with numerical density matrix renormalization groups is discussed. The ground energy per unit cell, spin correlation function and the spin gap are calculated.

利用数值密度矩阵重整化群方法对一种特殊的准一维海森堡反铁磁自旋系统的基态磁性序问题进行研究，计算了单个晶胞的基态能、自旋关联函数以及自旋能隙。

互联网摘选

18、

The spectral function P(ω) of the spin pair correlation function in a coupled quadrupole system are evaluated using the pade approximation starting from the exact derivation of frequency second and fourth order moments at high temperature limit.

精确计算出四级耦合系统中高温极限情况的二阶、四阶级矩，在Pade近似下获得自旋对关联函数的谱函数P（ω）。

互联网摘选

19、

Nuclear Spin Transverse Response Function

核的自旋横向响应函数

互联网摘选

20、

The Spin and Wave Function of the Photon

光子的自旋及其波函数

互联网摘选