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In general, given a nonlinear expectation, one can still derive a nonadditive probability measure, but there exist an infinite number of nonlinear expectations satisfying the same relation.

用非可加测度定义了容度和Choquet期望，Choquet期望在统计、经济、金融和物理中有很多应用，但是它的缺点是很难定义条件Choquet期望。

At the same time, due to 2~1S_0、 3_1S_0 are the radical excitations of 1~1S_0,we can use Regge trajectory on the (n,M~2)-plane with the approximate same slope to describe the mass of isoscalar of 3~1S_0 nonet (1926MeV). The two results derive from different ways are approximate. 2 The mass of the isodoublet of 2~3S_1 nonet is analyzed in the quarkonium-quarkonium mixing scheme, the results (1584±16.7MeV) is far from the K~*(1410)(1414±15MeV). 3 Based on "glueball dominance" picture, we establish glueball-meson mass relations. For the 2~ glueball mass and 4~ glueball mass used as input parameters, these relations predict the mass of isoscalar of 1~3F_4(4~)(2076±19.66MeV).

的质量(1900±12MeV)；同时考虑到2~1S_0、3~1S_0为1~1S_0的径向激发态，在(n，M~2)雷吉轨迹图中应该具有近似相同的斜率，利用雷吉轨迹可以得到其对应质量为(1926MeV)，两种方法得到了两个十分自洽的结果。2在介子—介子混合框架下，对2~3S_1介子九重态中同位旋二重态的质量给出估计，得到(1584±16.7MeV)，这个结果相对于K~*(1410)=1414±15MeV有较大的偏离。3在胶球为主的图像下，利用介子—胶球质量关系，选择2~与4~胶球的质量作为输入参数，我们得到1~3F_44~(介子九重态中同位旋标量态？

In order to solve problem, this paper proposes the natural gradient algorithms with nonholomic constraints. We derive it by incorporating a nonholonomic constraint into the natural gradient learning algorithm.

章提出了不完整约束的自然梯度算法，该算法是由不完整约束条件与自然梯度算法的结合而推导出来的。

Under the heterogeneously exponential setup,we obtain the equivalent characterization in terms of parameters for the stochastic order between the sample range from nonidentical independent exponential observations and that from i.i.d,exponential ones;also,we derive the characterization for the likelihood ratio order between the second order statistics from heterogeneous exponential random variables.

在这种设置下，样本极差X_-X_(1，n)和Y_-Y_(1，n)之间的通常随机序可以用其参数的不等式来等价刻画。另外，我们也建立了第二顺序统计量X_(2，n)和Y_(2，n)之间的似然比序的等价刻画。

Especially, we derive the Pohozaev identity for p-harmonic equation from which we obtain the corresponding nonexistence of nontrivial solution for p-harmonic equation with critical growth.

本文考虑了几类椭圆方程的Pohozaev恒等式，特别是对p-调和方程在两种边界条件下的恒等式作了详细的演算，并利用这些恒等式得到了一些解的非存在性结果。

The aims of this study were to evaluate the reliability of the current methods and to derive normal population values with these methods.

本研究的目的是评估现有方法的可靠性及取得正常人应用这些方法的测量值。

A typical and e nti re money laundering process may be divided into three stages:placement,layeri ng and integration,and from which many common money laundering methods derive.

一个典型、完整的洗钱过程可以分为放置、培植以及融合三个阶段，围绕这三个阶段，衍生出许多常见的洗钱方法。

They then have three courses open to them: to make the facts known and cause him to disappear in a cloud of obloquy; or to derive for themselves a comfortable income by means of blackmail.

那些人在发现这样的事件后，有三种选择：一是将事件公开，让他在骂声中退场；二是威逼他退休；三是敲一大笔钱给自己花。

Any plea, prayer, or praise addressed to any human being in order to derive supernatural power is occultism.

任何认罪、祈祷，或赞美给任何人，是为了汲取法力占卜。

C It can be used to derive octet synchronization in networks where this is not provided by other means.

在没有其他方式提供八位组同步的网络中，能用来导出八位组的同步。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。