查询词典 arithmetic geometric mean

This paper discussed the theorem of the average arithmetic geometric mean of algebraic polynomials systematically, then derived and analyzed the original geometric programming 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。提出了具有缩并迭代特性的几何规划求解理论和编程步骤。

This paper used the ratio of arithmetic to geometric mean to replace the coefficient of variation and applied into the enhanced adaptive filters. It proposed the novel class of adaptive filters, which were based on the ratio of arithmetic to geometric mean and were designed for speckle.

为此，将算术—几何均值比引入增强型的Lee和Frost等滤波器中，并取代变差系数在这些滤波器中的作用，推导得出一类新的基于算术—几何均值比的自适应斑点噪声滤波器。

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。

Using Chinese squid fishing production data during the main fishing season from 1999 to 2004 in the waters of 150—165°E, the present study combines the sea surface temperature with the horizontal gradient and the percentage of fishing times and daily catch as the suitability index. Using arithmetic mean model and geometric mean model, the integrated habitat suitability index is established based on SST and GSST .

中文摘要：根据 1999—2004 年8—10 月主渔汛期间我国鱿钓船在150—165°E 海域的鱿钓生产数据，结合其表温及表温梯度，分别将作业次数百分比和单位渔船日产量作为适应性指数，利用算术平均法和联乘法分别建立基于表温因子的综合栖息地指数模型。

A number that typifies a set of numbers, such as a geometric mean or an arithmetic mean.

中数：代表一组数的一个数，如几何中数或算术中数

The numerical results also indicate that the weighted geometric mean method needs less number of iteration than the weighted arithmetic mean method.

数值结果也显示：加权几何平均法所需的迭代次数比加权算术平均法所需迭代次数少。

The algorithms are respectively to compute arithmetic mean of the probabilities and normalized geometric mean of the probabilities.

采用公理化方法给出了相应的算法，这两个算法算法分别是对概率进行算术平均和几何平均，再进行归一化处理。

The highest IgE level was observed in the group infected by hookworm, with an arithmetic mean value of 1,298 IU/ml (11.6 times higher than the normal) and a geometric mean of 578 IU/ml (9.2 times that of normal).

IgE值在感染羣（算术平均值：898±1，613IU/ml，几何平均值：447IU/ml显的高於正常对照羣(112±105IU/ml， P.01)， 90%左右的感染学童IgE值高於正常对照羣的平均值，63.3%有明显的升高现象（大於正常对照羣的Mean+2SD）。

However, the weighted geometric mean method is simpler than the weighted arithmetic mean method, and the former can keep the reciprocity of the improved judgement matrix without transformation.

理论分析表明：虽然这2种方法都具有收敛性，且均可对一致性较差的判断矩阵进行修正，但加权几何平均法比加权算术平均法简洁，且前者无需通过转换，直接保持了修正后的判断矩阵的互反性。

The weighted arithmetic-geometric mean inequality is a very important inequality in mathematics.

加权 算术——几何平均值不等式是数学中的一个重要不等式。

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。