有限测度

Let m be a finite μ-invariant measure of Q-matrix, as Q is totally stable, consists of a single absorbing state or single-instantaneous state, we prove that exists Q-processes P , in which m be a μ-invariant measure of P , and construct the Q-processes P .

第四章致力于μ不变测度的研究，设m是Q的有限μ不变测度，在Q是全稳定、单瞬时不可和准保守拟Q-矩阵，以及含有吸收态的情形，分别证明了存在Q过程P，使m是P的μ不变测度，并且都具体构造出Q过程。

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。

It is proved that null-null additivity is equivalent to pseudometric generating property for a finite fuzzy measure on S-compact space.

证明了在S紧空间上的一个有限模糊测度是零-零可加的充分必要条件是它有伪距离生成性质。

We prove that on the localgauge group C∞(M a compact manifold,G a matrix Lie group)there does not exist afinite translationally invariant Borel measure.

我们证明了在局域规范群C∽(M为一紧致流形，G为一矩阵李群)上不存在有限的平移不变的Borel测度。

In this paper,a proof is made of the equivalence in three definitions of the integral of bounded function in finite set measure.

关于Lebesgue积分，文献有不同的定义，本文给出了测度有限集上有界函数 Lebesgue积分三种不同定义的等价性的一种证明。

The effective prediction space concept is established, On the base of these, this paper deduces two representations' evaluating equation, one evaluates the prediction error and the other evaluates the prediction error in limited space. First, the error transfer characteristic among subsystems at different space locations is analyzed, and the direct transfer characteristic from discrete standard measure space to the workpiece measure space under measured in measure system is proven. Second, the error reconstruction condition and method of mapping from discrete standard measurement system to continuous standard measurespace are analyzed.

分析了不同空间位置子系统间的误差传递特性，证明了在测量系统中离散标准量值空间向被测量工件量值空间的直接传递性；分析了离散标准量系统向连续量值空间映射的误差重构条件和方法；基于测量样本的有限距离的平稳性，证明了预报模型对动态测量误差的有限收敛性和预报误差的可测度性，进而证明了以离散标准量值系统对被测工件预报修正的可行性和合理性。

By defining ε-hedging strategy, applying duality principle of linear programming and martingale measure theory, we present a kind of calculation method for the seller's arbitrage price and the buyer's arbitrage price of capital asset in finite security market.

在定义ε-套期保值策略的基础上，采用线性规划对偶原理和鞅测度理论，给出了有限证券市场资本资产的卖方套利价格和买方套利价格的计算方法。

Ube a finite internal finitely additive measure space.

μ是内有限可加测度空间。

The exact Hausdorff-type measures of its image set and graph set are provided and it is proved that the usual Hausdorff measure functions for its image set and graph set are still correct measure functions.

在一定条件下，通过一些更小的测度函数给出了象集和图集的有限正的Hausdorff型测度。

The existence condition of first and second boundary variation was given with boundary variation method. The numerical method was obtained.

应用测度理论，将经典的变分问题，利用线性分析的方法转化为在几个Randon测度空间中寻找最优测度的有限维线性优化问题；从而得到最优控制律。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。