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geometric mean

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geometric mean 【數學】幾何平均數，等比中項[中數]。

【數學】幾何平均數，等比中項[中數]。 “geometric“ 中文翻譯：   adj. 1.幾何學的，幾何圖形的。 2.按幾何級數增長 ...“mean“ 中文翻譯：   adj. 中間的；中庸的；平均的；中等的；中項的。 th ...“mean geometric“ 中文翻譯：   幾何平均數“arithmetic geometric mean“ 中文翻譯：   算術幾何平均“arithmetic-geometric mean“ 中文翻譯：   算術幾何平均“geometric mean diameter“ 中文翻譯：   幾何平均徑; 幾何平均粒徑“geometric mean distance“ 中文翻譯：   幾何均距“geometric mean error“ 中文翻譯：   幾何平均誤差“geometric mean frequency“ 中文翻譯：   幾何平均頻率“geometric mean grain size“ 中文翻譯：   幾何平均粒度“geometric mean particle diameter“ 中文翻譯：   幾何平均粒徑“geometric mean radius“ 中文翻譯：   幾何平均半徑“geometric mean reciprocal titre“ 中文翻譯：   幾何平均倒數滴度“geometric mean size“ 中文翻譯：   幾何平均粒度“geometric mean titer“ 中文翻譯：   幾何平均滴度“geometric mean value“ 中文翻譯：   幾何均值“mean geometric chord“ 中文翻譯：   平均幾何弦“mean geometric chord of airfoil“ 中文翻譯：   平均幾何弦長“mean geometric of airfoil“ 中文翻譯：   平均幾何弦長“reciprocal geometric mean titer“ 中文翻譯：   交叉幾何平均滴度“rule of geometric mean“ 中文翻譯：   幾何平均法則“weighted geometric mean“ 中文翻譯：   加權幾何平均值“geometric“ 中文翻譯：   n. 有幾何圖形的東西。 adj. 1.幾何學的，幾何圖形的。 2.按幾何級數增長的。 adv. -rically “be mean with“ 中文翻譯：   對…吝嗇“by no mean“ 中文翻譯：   決不

For the quantification risks , the “ geometric mean “ is selected as the tool to rate the risk level ; for the qualification risks , the ahp approach was used to illustrate the different risk level . 4 、 the ahp method was proposed to determine risk response plan . by this approach , the various risks knowledge dispersed within the risk management organization such as the managers “ experience and project history data can be used for the project risk management 為了解決風險因素特性的難于量化問題，本文還另外給出了風險重要度的定性整合ahp方法； 4 、提出了風險響應措施擬定與選擇的ahp方法；該方法可以有效地利用分散于項目管理機構中的風險信息（經驗、數據） ，選擇出最適宜的風險響應措施； 5 、提出了工程項目風險管理的循環周期概念，通過該周期的循環體現項目風險管理的面向過程性和動態性；將周期性風險管理與項目本身的生命周期有機地結合，提出了一個面向過程的項目風險動態管理框架體系。

And then , some common methods of gdm , such as the ahp method , the weighted geometric mean method ( wgmm ) , the borda - kendall method , the minimum variance ( mv ) method , the clustering analytic method , the cook - seiford distance measure , cb measure , the maximum and the minimum expected values , the concordance and discordance indices , etc . , are used to discuss some consensus problems of gdm , including the consistency of the complex judgment matrix in ahp , the consensus methods of the aggregation of individual preferences ; the aggregation of analytic hierarchy process methods based on similarities in decision makers “ preferences , a consensus measure on multiple criteria group decision making 接著本文采用了群體決策中常用的一些方法(如： ahp法，加權幾何平均法， borda - kendall方法，最小方差法，聚類分析法， cook - seiford距離測度法， c _ b測度法，最大最小期望值法，一致性非一致性指標法等)對群體決策中的幾個一致性問題進行了研究，這些問題包括： ahp中復合判斷矩陣的一致性，個體偏好序集結的一致化方法，基于決策者偏好相似性的層次分析模型的集結中的一致性問題和多準則群體決策的一致性測度。

geometric progression

Firstly , the paper researches on the assessment of the expressway asphalt pavement performance , practice measure data of ten typical sections are selected from survey expressway , establishes weighed geometric mean to calculate pqi , which includes sri parameter that could enhance model precision 首先,對高速公路瀝青路面使用性能進行評價,從課題所調研的高速公路中,選取10個典型斷面的實測數據,建立基于加權幾何平均值的瀝青路面綜合評價模型pqi ,并在模型參數中增加抗滑性能指標sri ,提高評價模型精度。

Abstract : the effective shear stress of sediment transport is analyzed theoretically and tested by experimental data . the result shows that the effective shear stress is neither the overall shear stress nor the sand grain shear stress , but the geometric mean of these two stresses . the effective shear stress not only generalizes the flow intensity but also summarizes the flow intensities of mean flow velocity , stream power and unit stream power 文摘:本文通過理論分析及實測資料檢驗表明，無論對于何種泥沙運動狀態，決定泥沙運動的有效切應力既不是沙粒切應力又不是全部切應力，而是介于兩者之間，近似為沙粒切應力與全部切應力的幾何平均值.這一有效切應力不但是對切應力類水流強度指標的總結，還可以概括平均流速和水流功率等水流強度指標

All records are classified into three site conditions . for the two components of a record , two energy equivalent spectra are calculated , and the geometric mean of the two spectra are adopted to analysis by two - stage regression method using an attenuation model . then the attenuation law is attained 對每一條記錄，取了兩個分量所計算的能量譜的幾何平均值，選擇了衰減模型，利用兩步回歸法，對這些能量等效速度譜做了統計擬合分析，得出了地震動四種能量反應譜隨震級、距離等參數的衰減規律。

In order to adapt the maintenance activities well , this paper makes some ameliorations , as follows : ( 1 ) it is considered not so pertinent in this paper to take road user cost into account of total cost , and an advice of using pavement serviceability performance for benefit is given . ( 2 ) when evaluating the average of the road network serviceability , this paper put forward to using weighed geometric mean to calculate pqi . ( 3 ) bringing in a new idea of checking the reasonability of classifying pavement state and typical measure by transfer probability 為盡可能使其反映實際的養護規律，本文在前人研究的基礎上，提出以下改進： ( 1 )在建立費用模型時，認為在我國現階段，考慮用戶費用有不妥之處，提出以路面使用性能作為用戶費用的映象，以路面使用性能作為效益的評價指標； ( 2 )在評價路網平均服務水平時，提出用加權幾何平均值來計算路面使用性能綜合評價指標pqi ； ( 3 )提出了利用轉移概率檢查狀態的劃分和典型措施的合理性的新思想； ( 4 )在求解markov決策模型時，通常使用的方法是線性規劃法，本文闡述了另外兩種求解的方法：策略迭代法和整數規劃法。

Then , a new grading model is put forward by the author , in which not only the own situations of grading factors but also the combinative situations of different grading factors are considered . in this article , the former is calculated as geometric mean , and the latter is obtained as their sum 然后，本文對農用地定級技術路線做了必要的闡述，既展示了農用地定級模型在農用地定級工作中的地位，又闡述了農用地定級工作的全過程，從而強調了農用地定級工作的各個環節的緊密銜接的重要性。

This paper analyses the geometric meaning of small variance principle composition and linear regression , researches how to solve parameter estimation problem in economic measuring models through establishing linear equation or equations by small variance principle composition , and obtains satisfactory results 摘要本文分析了小離差主成分與線性回歸的幾何意義，研究了利用小離差主成分建立線性方程或方程組，解決經濟計量模型中參數估計問題，并得到了比較滿意的結果。

For the quantification risks , the “ geometric mean “ is selected as the tool to rate the risk level ; for the qualification risks , the ahp approach was used to illustrate the different risk level . 4 、 the ahp method was proposed to determine risk response plan . by this approach , the various risks knowledge dispersed within the risk management organization such as the managers “ experience and project history data can be used for the project risk management 為了解決風險因素特性的難于量化問題，本文還另外給出了風險重要度的定性整合ahp方法； 4 、提出了風險響應措施擬定與選擇的ahp方法；該方法可以有效地利用分散于項目管理機構中的風險信息（經驗、數據） ，選擇出最適宜的風險響應措施； 5 、提出了工程項目風險管理的循環周期概念，通過該周期的循環體現項目風險管理的面向過程性和動態性；將周期性風險管理與項目本身的生命周期有機地結合，提出了一個面向過程的項目風險動態管理框架體系。

And then , some common methods of gdm , such as the ahp method , the weighted geometric mean method ( wgmm ) , the borda - kendall method , the minimum variance ( mv ) method , the clustering analytic method , the cook - seiford distance measure , cb measure , the maximum and the minimum expected values , the concordance and discordance indices , etc . , are used to discuss some consensus problems of gdm , including the consistency of the complex judgment matrix in ahp , the consensus methods of the aggregation of individual preferences ; the aggregation of analytic hierarchy process methods based on similarities in decision makers “ preferences , a consensus measure on multiple criteria group decision making 接著本文采用了群體決策中常用的一些方法(如： ahp法，加權幾何平均法， borda - kendall方法，最小方差法，聚類分析法， cook - seiford距離測度法， c _ b測度法，最大最小期望值法，一致性非一致性指標法等)對群體決策中的幾個一致性問題進行了研究，這些問題包括： ahp中復合判斷矩陣的一致性，個體偏好序集結的一致化方法，基于決策者偏好相似性的層次分析模型的集結中的一致性問題和多準則群體決策的一致性測度。

Soil particle - size distributions fractal dimension is correlative with other texture parameters . the dimension is clear line - relative with clay content and geometric mean diameter , but the line - relationship between the dimension and index of uniformity is low . the dp is sensitive to the variety of soil texture 在理論上也進一步指明了粒徑分布維數的物理意義，即：粒徑分布分形維數d _ p的范圍為0 3 ，其大小反映了不同質地土壤顆粒的填充能力。

Levels in the areas rivers and nullah were still high in 2005 , especially in the upstream part of the tuen mun river , where the annual geometric mean was 240 , 000 cfu 100 ml due to bacteriological pollution from unsewered villages 雖然水質指數等級的變化顯著，但2005年河溪大腸桿菌含量依然偏高，其中屯門河上游站位tn1尤其嚴重，年度幾何平均數為每100毫升240 , 000個，細菌污染主要來自無污水管道的村屋。

Was the best bacterial indicator for assessing the incidence of diseases associated with swimming in the local population . they also established a significant linear relationship between the geometric mean of 研究結果很明確，顯示大腸桿菌是評估香港市民因游泳而感染疾病病發率的最佳指標，此外研究亦確定大腸桿菌含量的幾何平均值與游泳引致的腸胃病和其它疾病的發病率有直接的關系。

Some basic relations between arithmetic - geometric mean and geometric - harmonic mean and related inequalities were given . moreover , these two means were compared with some classes of well known compound means 摘要給出算術幾何平均值與幾何調和平均值之間的一些基本關系式和有關的不等式，并且把它們與常見的幾類復合平均值做了比較。

Data relating to faecal coliforms and e . coli in this report is presented in the form of annual geometric mean figures , while data on the other 46 water quality parameters is presented in the form of annual median figures 本報告中除了關于糞大腸菌群及大腸桿菌的數據用年度幾何平均數呈列外，其馀46項參數的數據均以年度中位數呈列。

Based on the geometric meaning of the reliability index , the optimization method for the reliability computation is constructed , and the correlated abnormal distribution random fields are addressed 對非正態分布、相關變量隨機場進行了處理，依據可靠指標的幾何意義建立了可靠度計算的優化算法。

Level exceeding 1 , 600 per 100 ml , this reading overrides the geometric mean figure for the beach and instead triggers an immediate grade 4 rating . sudden high levels of 任何時候泳灘的水樣本如每100毫升海水中大腸桿菌含量超過1 , 600個，最近五次樣本的幾何平均值便不適用，而泳灘則實時降為第四級。

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 這題大概是：構造一個直角三角形（斜邊c已給定） ，使斜邊上的中線長度是兩直角邊長度的比例中項。

Should not exceed 180 per 100 ml , calculated as the geometric mean of all samples collected from march to october 水質指標是以每年3月至10月泳季期間所收集樣本的大腸桿菌含量幾何平均值計算，每100毫升海水中的大腸桿菌數量不應超過180個。