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The concept of the weighted logarithmic power mean is introduced; its relation with two-parameter mean is given; the inequality for weighted logarithmic power mean is derived; the magnitude relation among upper bounds of geometric mean and arithmetic mean of geometrically convex functions are made certain.

建立了几何凸函数的对称拟算术平均不等式，对文献[1]提出的不等式进行了推广统一；引进加权对数幂平均的概念，建立起其与双参数平均之间的关系，得到加权对数平均不等式，从而确定了几何凸函数的几何平均、算术平均的上界的大小关系；最后，提出了几何凸函数的对称拟算术平均不等式的推广问题。

In addition to dealing with recovery latency of temporal relation packet loss, ARMER reduces recovery latency of reliable multicast in the condition of spatial relation loss occurs.

ARMER协议引入了"前向的差错检测"机制，实现了主动节点支持的差错检测，有效降低了协议在发生空间相关丢包情况下的差错恢复的延迟。同时，ARMER协议也沿用了主动缓存以支持本地恢复的策略，因此，使得协议可在发生两种类型丢包情况下都维持较小的恢复延迟。

This article introduces the selection of relative reactor value of filter X% and its relation to external performance of filter. The selection among parallel capacitor, dissonances filter and assonance filter based on the environment are discussed deeply. The relation between filter parameter and engineering design are once more discussed. Finally, how to coordinate the functions of harmonics and reactive power compensation is argued.

本文介绍了滤波器的相对电抗值X%的选择，以及X%和滤波器外部性能的关系，并深入讨论了如何根据不同场合分别选用并联电容器、失谐滤波器或调谐滤波器的问题，也再次讨论了滤波器参数和工程设计的关系，最后讨论了如何协调谐波和无功的补偿功能。

1、The Entropy、Smoothness、Uniformity and Relation (base on co-occurrence)are significantly difference between the patients and volunteers(p.05).2、The Contrast (base on co-occurrence matrices) and Distance (based on autocovariance coefficients) tend to be higher volunteers, but not reaching statistical significance.3、Among all the thirty-nine features, the most significant difference was obtained using Relation with the pixel distance varied from 1 to 3 pixels.

本实验使用纹理分析的方法研究正常膀胱壁组织和膀胱赘生物组织的纹理特征，并筛选出四种存在显著统计学差异的纹理特征，为后续利用纹理特征研究膀胱肿瘤浸润肌层深度提供了依据。另外，如前所述，目前膀胱肿瘤的诊断主要依靠膀胱镜，但作为一种侵入性操作，膀胱镜并不适合人群疾病普查和患者的治疗后随访。

In the doctoral dissertation,which focuses in lattice-ordered preferencestructure theory and lattice-ordered decision-making theory,lattice-orderedpreference relation displaces complete preference relation in order to makecharacterization of preference structure general,and in order to propose a newthinking of weakening completeness axiom,and also in order to put forward atheoretical base for setting up the rational behavior axioms and utility theorywith lattice-ordered preference structure.

本文有关格序偏好关系理论的研究将Von Neumann-Morgenstern理性行为公理中偏好关系的全序描述推广为格序描述，使得对偏好结构的描述更为一般化，并且为弱化公理体系中完全性或连通性假使提供一条新思路，为建立基于格序理论的理性行为公理及其相关的效用理论提供理论依据。

In a relation data base, the number of tuples in a relation.

关系数据库中，一个关系的元组数目。

This paper is to discuss the relation between cartoon and children which is also taken into consideration by other people of the society. Then what is the value of cartoon? I infer it from the before-mentioned relation.

本文揭示处于多方关照下的动画片和幼儿之间的关系，以及由关系推理出的动画片之于幼儿的价值。

The solubility limit of element Ta in binary compound NiZr2 wasdetermined as 13.5 at% at the present experimental temperature.3 The investigation of the phase equilibrium relation arid the thermodynamic extrapolation of Ni-Cr-Zr ternary system at 1173 KThe isothermal section of Ni-Cr-Zr ternary system at 1173 K was determined and the phase equilibrium relation and their stability were analyzed and discussed.

同时，利用文献所报道的有关该体系的相关二元子系统的热力学信息成功地外推和预测了该三元系的热力学性质。

A binary relation from a set A to A is said to be a binary relation on A.

从集合A到A的二元关系，称为A上的二元关系。

A binary relation on a set that is reflexive and symmetric is called a compatible relation.

一个集合上的二元关系，如果它是自反的也是对称的，可称它为相容关系。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。