测度

In [1] and [35] Bagby and Gomez independently proved that there are many functions f ∈ L ln~+ L(R~2) such that M_s ∈ L~1 for any measurable set E of finite measure.

在[1]和[35]中他们分别证明了存在许多函数f∈Lln~+L(R~2)使得对任意有限测度集E，M_S∈L~1。

Ube a finite internal finitely additive measure space.

μ是内有限可加测度空间。

Let P be a Markov operator in, and Q any ergodic Markov operator possessing finite invariant measure. In this note a simple and direct proof of the equivalence of the mixing property for Q and the ergodicity for Cardesian product PQ is given.

设P是L上的Markov算子，Q是任一具有有限不变测度并且遍历的Markov算子，在这篇注记中我们给出了P的混和性和Cartesian积P×Q的遍历性相互等价这一结果的直接而简单的证明。

Keywords: reflection-invariant measure; finite reflrction group; spherical harmonics; uncertainty principle; Hardy space

中文关键词：反射不变测度；有限反射群；球面调和；测不准原理；哈代空间

Because M_S ≤ M~*, if f G L~n, then M_S ∈ L~1 for any measurable set E of finite measure.

因为M_S≤M~*，所以当f∈L~n时对任意有限测度集E，M_S∈L~1。

For all finitely additive probability measures defined on theσ-algebra ?

上的所有有限可加概率测度的表示理论。

Additionally, considering the additive methods with one evaluation function, we give the range of weights that ensure the fixedness of alternatives rank by the limited conditions on evaluation functions making sure the rank invariability on alternatives.

该方法通过给出有限方案集的非劣方案、潜在最优方案、邻近潜在最优方案以及竞争方案等定义，以Euclidean空间的距离为测度，用可变参数的最小参数变化量来描述任意方案到当前最优方案间的距离，给出了以距离为基础的定量化敏感性指数，并以竞争方案到当前最优方案的距离来衡量当前最优方案的敏感性。

By entrusting systematic entropy formal flexible Strategy to evaluating system,we cancalculate the total score of the system,then forkful the synthetically evaluation to thesystem.

在可持续发展的要求下，结合我国具体实际，构建了可持续消费测度的系统评价体系，通过系统熵权方法，用总分值的计算，测定系统的总指数，完成对系统的综合评价。

The major breakthrough from a physically point of view occurred in 1985 when Halsey et al. introduced the function f . In 1995, Olsen gave a strict mathematical Multifractal Formulism. Meanwhile, Cawley, Mauldin, Arbeiter and Patzschke et cetera published articles on these topics.

之后，Frish和Benz等人将此概念推广到动力系统中吸引子的分形结构。1985年，Halsey等人从物理和直观的意义上作了突破性的工作，在测度的谱和集合的分形维数之间建立了联系。1995年，Olsen提出了严格的重分形形式体系的数学框架。

We give some equivalent characterizations of Bloch type functions in term of fractional derivative, via studying the relative of growth of the different order fractional derivatives of holomorphic function, including the form of supremum and limit, the form of integral and Carleson measure, which are the generalizations of some known results in the unit disc and in the unit ball.

我们从研究全纯函数分数次导数的增长性入手，利用分数次导数给出了它的一类刻画，包括上确界和极限形式的特征，积分形式的特征以及Carleson测度形式的特征，推广了单位圆盘和单位球上一些已有的结论。

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。