加权函数

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。

The modified double weight function method is to introduce new weight functions doing subtraction between two negative exponential-type functions. For a Pearson type three probability distribution, the MDWF is able to make estimations of the Standard Deviation and Coefficient of Skewness C(subscript S from the second-order weighted central moments reduced to the first-order weighted central moment estimations.

修改的双权函数法是将两个负指数型函数之差所构成的函数类取作权函数，对于皮尔逊Ⅲ型分布，它能使σ和Cs的估计由原权函数法的二阶加权中心矩降低为一阶加权中心矩估计。

In the near future, we will consider the analogous motion of level sets by mean curvature with adding a nonnegative weight function, and then investigate the various geometric properties and pathologies of this evolution.

在久的将，我们将进一步地研究附加非负加权函数的平均曲对於空间中等值曲线的影响，并探查在此演变下多样性的几何性质与为特徵。

The mean square deviation was used to calculate the weight, and compositive appraisement method of hierarchy multiplayer and the linear weighted function were introduced to build the two levels and integrated indicator of health diagnoses model-the health index.

以均方差决策法确定了各指标的权重，运用递阶多层次综合法、线性加权函数法分别建立了二级层次和综合指标健康诊断模型－健康指数。

When these coefficients are quadratic functions of the porosity, specific constituent orthogonal weighting coefficients are derived from these orthogonal conditions along with a discussion about how to extend the applicable range of the constituent orthogonal weighting coefficients in the orthogonal coordinates. Based on the combination of the theory of critical porosity and the constituent model, it presents a specific example of the constituent model that includes two transforming points. The reasonability of above-mentioned theories is shown by comparison of theoretical calculations and measured data on effective elastic moduli of clean sandstone or sandstone analogs saturated with pure water.

再次，结合弹性模量组分关系方程与正交基函数理论，推导组分加权系数的正交条件；基于正交条件，提出组分加权系数为孔隙度二次多项式时正交组分加权系数的构造方法以及正交组分加权系数适用范围的拓展方法；结合临界孔隙度理论，提出一个基于两个状态分界点的组分模型实例；比较组分模型的计算结果与前人关于砂岩弹性模量的实验结果，证明了组分孔隙介质模型理论的合理性。

Further, strain energy function is separated into volumetric and deviatoric parts, and the relationship between the Green-Lagrange strain tensor and second Piola-Kirchhoff stress tensor is given.

在建立求解方程的过程中，Heaviside加权函数的引入完全或部分除去了刚度矩阵中的局部域积分项，大大简化了本文方法的计算工作量。

Of course, much more research needs to be done within this topic, for example, by analyzing the influence of specific parametric factors, such as those affecting the optimal weighting function for lightness differences.14 In any case, we believe that the current structure of the CIE94 formula will be useful, at least in the near future, without disregarding that the current use of the CIELAB space as the starting point could be surpassed by advances in the knowledge concerning color appearance and the physiology of our visual system.

当然， 更多的研究需要做的这个主题，为例如，通过分析具体的影响参数因素，如那些影响到最优加权函数为明度differences.14在任何情况下，我们认为，目前结构的CIE94公式将是有益的，在至少在不久的将来，同时不忽视，目前的利用色差空间为出发点可以超过的进步，知识的颜色外观和生理的影响我们的视觉系统。

To eliminate the limit, a hybrid objective function weighted by antitangent function is constructed, which behaves like an objective function of norm for small data points and like an objective function of norm for large data points, restraining the influence of false data points on inversion procedure.

为了解决这一问题，利用反正切函数作为加权因子构造了反正切混合目标函数，并利用模型试验进行了验证。简要阐述了最优化目标函数的构造方法；给出了利用反正切函数构造混合目标函数的基本原理，并对目标函数的微分特征和概率特征进行了分析；利用模型论述了反正切混合目标函数中控制参数μ和σ的意义，μ控制反正切函数变化的速度，σ控制数据误差项被处理或加权的方式。

There are fault data during the data acquisition due to uncertain disturbance; these data will degrade the navigation accuracy of whole system. A continuous degressive function is presented in this paper. This function can eliminate the influence of disturbance and improve filter precision.

由于不确定性干扰使数据采样中会存在野值，这些野值会大大降低整个系统的导航精度，本文提出了对新息乘以一个单调递减的加权函数的算法，能消除干扰的影响，滤波结果更为可靠、准确。

So we put forward statistics monitoring system consising of four gradations and forty indexes,and a...

为此，提出由4个层次40个指标构成的统计监测指标体系，并提出采用量化值加权函数法进行综合评价。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。