geometric mean

noun

1. 几何平均；等比中数
   the central number in a geometric progression

1. And he defined the average in terms of not the sum divided by two, but he chose the geometric mean.
   鲍林定义平均并不是，简单相加在除以二，他选择几何平均。
2. The mathematical mean of the physical quantity has multiple expressions forms, including arithmetical mean and geometric mean, etc.
   目的：探讨均值、中位数和几何均值三种统计方法对尿氟指标的影响和相互间有无差异。
3. The approach makes use of another important feature of the scale-free network: the final formation of a scale-free network is controlled by the geometric mean of its degrees.
   该方法利用了无标度网络的一个重要性质，即无标度网络的最终形成是受其度的几何均值控制的。
4. The best beaches are ranked as good, while those beaches with a higher geometric mean are ranked fair.
   水质最佳的泳滩级别为良好，几何平均含量较高的泳滩级别为一般。
5. In fact, there are some very old books that show this as the average, the sum divided by two arithmetic mean, but the modern practice is to use the geometric mean.
   事实上，一些很老的书籍上，平均的定义就是算数意义的，总的来说被分为两种算数意义，但现代我们多用几何意义。
6. Construct a right triangle with given hypotenuse c such that the median drawn to the hypotenuse is the geometric mean of the two legs of the triangle.
   构造一个直角三角形（斜边c已给定），使斜边上的中线长度是两直角边长度的比例中项。
7. Returns the geometric mean of an array or range of positive numeric data
   返回一正数数组或数值区域的几何平均数
8. Annual geometric mean Escherichia coli level
   全年的大肠杆菌几何平均数
9. In this paper, the geometric mean value of product of non zero of base m digits is discussed, the exact calculating formula is given.
   物理量的数学平均值有算术平均值和几何平均值等多种表达形式，这些数学平均值所表达的物理含义是不同的。
10. In 1997, Fiedler and Pta'k introduced spectral geometric mean F ( A, B) of positive definite matrixes, and discuss its properties.
    1997年Fiedler和Ptak定义和研究了正定矩阵间的谱几何平均F（A，B），并给出了相关性质。
11. Some analytic inequalities are established by using of the theory of majorization. The Ky Fan inequality and the arithmetic and geometric mean inequality are also refined.
    利用优超理论建立了若干解析不等式，并对KYFAN不等式、算术&几何平均不等式进行了推广。
12. This paper presented three new methods for regulating the consistency of the judgment matrix, which were the geometric mean method for the building matrices, the system clustering analyze-based geometric mean with weight and its simplified arithmetic.
    提出了三种专家判断矩阵一致性调整的新方法：生成矩阵的几何平均法、基于系统聚类分析求权重的加权几何平均法及其简化算法。
13. Thus, the samples were qualitatively classified and identified by the minimum method of geometric mean in fuzzy cluster analysis. When the correlative coefficient of comparability reached to 0.927, the samples were considered to belong to the same type.
    在此基础上用模糊聚类中的几何平均最小法定性地对10个样品进行了分类和鉴别，其相似性的相关系数为0.927时，全部样品可归为一类。
14. This paper deals with the ranking derivation problem using two methods ( Eigen vector Method and Geometric Mean Method).
    讨论了从相对比较矩阵获取排序结果的两种不同方法（特征根法和几何平均法）。
15. This paper discussed the theorem of the average arithmetic geometric mean of algebraic polynomials systematically, then derived and analyzed the original geometric programming ( GP) briefly.
    系统地讨论了代数多项式的算术－几何均值定理，并对原型几何规划理论作出了简明的推导与分析。
16. It discusses how to select the members in virtual enterprise with AHP that is a quantitative and qualitative analytic method. To calculate the judgement matrix, the ways of geometric mean and normalization row mean are used.
    运用AHP方法对盟员选择进行了探讨，给出了分析方法，运用评分几何平均法、规范列平均法对评判矩阵进行了计算，有效地确定决策矢量。
17. Research on consistency and eigenvalue of the weighted geometric mean judgement matrix
    综合判断矩阵的一致性及特征值问题研究
18. This paper gives Holder's inequality, Minkowski's inequality, arithmetric-geometric mean inequality of the Hermite matrix trace.
    本文给出了厄米特矩阵迹的Holder不等式，Minkowski不等式和算术几何平均值不等式。
19. A Consistency Improving Method Based on Possibility-Satisfiability Degree and Weighted Geometric Mean
    一种基于可能满意度与加权几何平均的一致性改进方法
20. The purpose of this paper is to study the discrete weighted geometric mean inequality.
    本文研究离散形式的加权几何平均不等式。
21. Adult hair arsenic data were positive skewness distribution, and calculating average should use geometric mean or median;
    成人发砷值呈正偏态分布，在计算平均值时应当使用几何均数或中位数；
22. And these results verify not only the feasibility of geometric mean method, but also the extensibility of EDA media on fluid discrimination.
    这既证明了几何平均法的可行性，也证明了EDA介质在流体识别方面的可拓展性。
23. A geometric mean formula is first derived for the equivalent seismic velocity of EDA media.
    这里首先提出了一种计算EDA介质等效波速的几何平均法。
24. In the paper, it has been discussed that the approach of determining weights considering the expert's level with geometric mean and least-square for multi-objective group hierarchical decision making, the example is given.
    应用几何平均和最小方差等概念，探讨了多目标群体层次决策中考虑决策者水平的权重确定方法，并用实例给予了验证。
25. Accompanied with the traditional weighted geometric mean method, the improvement extent of the inconsistent matrix can be controlled effectively with this index, and acceptable consistency can be achieved gradually with minimum deviation from the ( original) preference.
    利用该指标，并结合常用的加权几何平均改进算法，可以有效地控制不一致判断矩阵的调整力度，在对决策者原始判断信息偏离最小条件下，逐步达到可接受的一致性。
26. The concept of α-geometric mean diagonally dominant matrices with nonzero elements chain are introduced, and the relations between the matrices and diagonally dominant matrices with nonzero elements chain as well as nonsingular H-matrices are studied.
    引进具有非零元素链的α-几何平均对角占优矩阵的概念，讨论了它的性质及其与具非零元素链对角占优矩阵、非奇异H-矩阵的关系。
27. Firstly, with the aid of the inequality between harmonic and geometric mean, the end-to-end SNR is bounded.
    首先，基于调和几何平均不等式，得到了更易于数学处理的端到端信噪比上界。
28. The method of butterfly segmentation and geometric mean value to the distributed fault diagnosis was the most accurate and reasonable.
    采用蝶形分割法和子网证据体的权重值几何平均值法的分布式故障诊断结果更为准确和合理。
29. The research for the means has a long history, the classical means include algebraic mean, geometric mean and harmonic mean etc. During the development of theory of mean, the theory of mean family is built.
    平均数理论研究的历史久远，经典的平均数包括算术平均，几何平均，调和平均等。平均数理论研究在发展过程中，建立了平均族的理论。

noun

1. the mean of n numbers expressed as the n-th root of their product