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连续性条件

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Let μ be a smooth measure with a quasi regular Dirichlet form, A μ be its non negative additive functional,and U α A μ be the α Potential operator of A μ.

设μ是拟正则狄氏型的光滑测度,Aμ是其对应的非负连续可加泛函,UαAμ是Aμ的α位势算子,本文证明了测度μUαAμ关于μ的绝对连续性,并以R-N导数dμUαAμdμ刻划了μ具有有限能量积分的条件。

The admissibility of functions is regulated by continuity requirements and boundary conditions.

函数的容许性由连续性要求和边界条件来约束。

In chapter two, under non-Lipschitz condition, the existence and uniqueness of the solution of the second kind of BSDE is researched, based on it, the stability of the solution is proved; In chapter three, under non-Lipschitz condition, the comparison theorem of the solution of the second kind of BSDE is proved and using the monotone iterative technique , the existence of minimal and maximal solution is constructively proved; in chapter four, on the base of above results, we get some results of the second kind of BSDE which partly decouple with SDE, which include that the solution of the BSDE is continuous in the initial value of SDE and the application to optimal control and dynamic programming. At the end of this section, the character of the corresponding utility function has been discussed, e.g monotonicity, concavity and risk aversion; in chapter 5, for the first land of BSDE ,using the monotone iterative technique , the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied.

首先,第二章在非Lipschitz条件下,研究了第二类方程的解的存在唯一性问题,在此基础上,又证明了解的稳定性;第三章在非Lipschitz条件下,证明了第二类BSDE解的比较定理,并在此基础上,利用单调迭代的方法,构造性证明了最大、最小解的存在性;第四章在以上的一些理论基础之上,得到了相应的与第二类倒向随机微分方程耦合的正倒向随机微分方程系统的一些结果,主要包括倒向随机微分方程的解关于正向随机微分方程的初值是具有连续性的,得到了最优控制和动态规划的一些结果,在这一章的最后还讨论了相应的效用函数的性质,如,效用函数的单调性、凹性以及风险规避性等;第五章,针对第一类倒向随机微分方程,运用单调迭代方法,证明了最大和最小解的存在性,并研究了解的其它性质及在效用函数上的应用。

Authors suggest that uranium ore formation occurred after the appearance of the above subsidiary tectonic units, and sandstone bodies of the Ⅱ,Ⅲ,Ⅳ,Ⅶ cycles, Shuixigou Group in the southern syncline, and sandstone bodies of the Ⅰ,Ⅱ,Ⅲ,Ⅴ cycles, Shuixigou Group, as well as sandstone bodies of Xiaoquangou Group in the northern monoclinal zone, they are ...

文章认为铀成矿作用发生在这些次级构造单元形成之后,且具有找矿前景的是南部向斜带水西沟群第Ⅱ、Ⅲ、Ⅴ、Ⅶ旋回砂体和北部单斜带水西沟群第Ⅰ、Ⅱ、Ⅲ、Ⅴ旋回砂体及小泉沟群砂体。从容矿层位连续性、分布面积、砂体特征及层间氧化带发育特征等成矿条件看,北部单斜带铀成矿条件和找矿前景均优于南部向斜带。

In either case ofg∈C2 or gnot∈C2, this paper proposes a convenient method for building a T-S fuzzy system and gives a loose sufficient condition of its approximation ability, when the fuzzy sets are uniformly distributed, continuous and normalized.

本文在逼近函数g∈C2及g不∈C2两种情况下给出了一种当模糊集满足均匀性、连续性、正规性条件下T-S模糊系统的构造方法以及该T-S模糊系统逼近能力的充分条件。

Loosedthe illter-elemefit colltinuity further with the requirement of Irons patch teSt,obtains the weak continuity condition ensured convergence.

用分片试验的要求来进一步放松单元间的连续性,可以得到保证收敛的弱连续条件,它只包括单元顶点的函数值连续和法向导数积分连续2个条件,从而扩大了有限元的构造范围。

In order to loose therequirement of continuity as possible,study the construction mechanism andproperty of C1 continuity element,enlarge the constructing area of finiteelement,explore simpler,higher efficient element,based on the weak form ofthe domain equilibrium in this paper,obtains integral continuity condition,weak continuity condition gradually,enlarge the constructing area of finiteelement indeed,concludes that their average strains are identical.

为尽可能放松连续性要求、探讨C1连续有限元的构造机理和特性、扩大有限元的构造范围、寻求简单元高效的单元,本文从区域平衡的弱形式开始,逐步得出积分连续条件、弱连续条件,扩大了有限元的构造范围,得出其平均应变相等的结论。

In order to loose therequirement of continuity as possible, study the construCtion mechanism andpropedy of Cl cofltinuity element, enlnye the construCting area of finiteelement, explore simpler, higher efficient element, based on the weak form ofthe domain equilibrium in this paper, obtains integral continuity condition,weak continuity condition gradually enlarge the construCting area of finiteelement indeed, concludes that their average stralns are identical.

为尽可能放松连续性要求、探讨C_1连续有限元的构造机理和特性、扩大有限元的构造范围、寻求简单元高效的单元,本文从区域平衡的弱形式开始,逐步得出积分连续条件、弱连续条件,扩大了有限元的构造范围,得出其平均应变相等的结论。

Loosedthe inter-element continuity further with the requirement of Irons'patch test,obtains the weak continuity condition ensured convergence.It comprises thefunction value at the node continue and its nominal derivative continue 2conditions,hence do enlarge the constructing area of the finite element.

用分片试验的要求来进一步放松单元间的连续性,可以得到保证收敛的弱连续条件,它只包括单元顶点的函数值连续和法向导数积分连续2个条件,从而扩大了有限元的构造范围。

The quantumism type of electron out of atomic nucleus is represent at discontiguous energy state,薛定谔equation can find the logical result only at some specifically situations, specifically situations are describe as quantum number.

核外电子的量子化特征表现在其能量状态的不连续性,薛定谔方程只有在某些特定的条件下,才能得到合理的解,表示这些特定条件的物理量就称为量子数。

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However, as the name(read-only memory)implies, CD disks cannot be written onorchanged in any way.

然而,正如其名字所指出的那样,CD盘不能写,也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

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