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In addition,we also discuss the boundedness results for a class of multilinear commutators generated by fractional integral operators and BMOfunctions on MK_~.

在MK_~上的有界性,同时还讨论了一类由分数次积分算子与BMO函数所生成的多线性交换子在MK_~上的有界性结果。

Next, the boundary value problem is changed into an integral equation by applying a Green function. Then, by establishing a normalized boundary equation, the irregularity of the kernel of integral equation is overcome.

弹性扭转问题可看成是Poisson方程的边值问题,R 函数理论保证了对于任何复杂的区域,总可以找到一个规范化方程,从而可以将弹性扭转问题化为一个无奇异性的第二类Fredholm积分方程。

Its subordinate relations,include relations,the order of starlikeness and the order of strongly starlikeness as wellas the integral represation theorem, etc.

引入了强星像函数类的一个子类S(α,β,ρ,σ,A,B),讨论了它的从属关系、包含关系、星像阶数和强星像阶数以及积分表示定理等,所得结果推广了一些作者的相关工作。

Directly from the theory of Kirchhoff diffraction, without any approximation about mathematical models, a series of improved digital calculation ways are used to ensure the high accuracy of OTF calculation.

直接从基尔霍夫衍射积分理论出发,在数学模型上考虑了瞳面振幅分布的不均匀性和倾斜因子,并采取一系列改进数值计算方法的措施,力求光学传递函数计算的高精度。

In the third chapter,two different methods which construct the Loeb measure are researched,and their consistency is proved.Next some basic natures of Loeb measurable function and Loeb integration have been discussed.

在第三章中,我们主要研究由确界法和内逼近法这两种不同的方法构造Loeb测度空间,并证明了它们的一致性,然后讨论了Loeb可测函数和Loeb积分的一些基本性质。

To build the tent function of Wigley Ship, to calculate the wave resistance by Michell integral, and to put up the evaluation of the reformed hull by Rankine Source method, which attains a good effect.

本文建立Wigley船型的tent函数,通过Michell积分进行基于船舶兴波阻力优化计算,用Rankine源方法进一步对生成的改良船型进行评估,得到较好的结果。

Profit allocation in enterprise coalition under fuzzy conditions is studied.The payoff function v and Shapley value are defined using the Choquet integral about fuzzy measures.

针对企业联盟模糊情况下的收益分配问题进行分配策略研究,通过关于模糊测度的Choquet积分,定义了模糊联盟合作博弈的支付函数v和Shapley值。

In Chapter 2, by using a class of piecewise continuous Lyapunov function and the method of analysis, we study existence, uniqueness and stability of impulsive Volterra intergro-differential equations.

在第二章中,主要利用分析技巧和分段Lyapunov函数等方法,讨论了含脉冲的Volterra积分微分方程解的存在性和其零解稳定性的充分或必要条件。

Finally, based on the Choquet integral of distortion probability, the characterization of dynamic coherent measures is discussed. It provides theoretical evidence for the methods of different transaction dates risk measurement in empirical application. It i...

最后 ,对一般概率通过函数变换,应用 Choquet积分思想,对动态一致性风险度量的特征进行了探讨,指出它在实际应用中为多期风险度量方法提供的理论依据,对长期组合投资具有重要的现实指导意义。

The coordinate transform method is used to calculate the weak singular integral.

为了获得O(1/r)弱奇异积分高精度的解,采用坐标变换的方法,消除被积函数中的奇异性。

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