算術幾何平均 的英文怎麼說

中文拼音 [suànshùjīhépíngjūn]
算術幾何平均 英文
arithmetic geometric mean
  • 算 : Ⅰ動詞1 （計算數目） calculate; reckon; compute; figure 2 （計算進去） include; count 3 （謀劃;計...
  • 術 : 術名詞1. （技藝; 技術; 學術） art; skill; technique 2. （方法; 策略） method; tactics 3. （姓氏） a surname
  • 幾 : 幾代詞1. （多少, 用於詢問數量和時間） how many 2. （表示不定的少數目） a few; several; some
  • 平 : Ⅰ形容詞1 （沒有高低凹凸 不頃斜） flat; level; even; smooth 2 （高度相同; 不相上下） on the same l...
  • 均 : Ⅰ形容詞（均勻） equal; even Ⅱ副詞（都; 全） without exception; all
  • 算術 : arithmetic figure; arithmetic
  1. Arithmetic - geometric mean

    算術幾何平均
  2. 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，並且把它們與常見的幾類復合平均值做了比較。
  3. To solve the inaccuracy problem caused by the two existing methods ( average end - area method and prismoidal method ) used for the calculation of roadway earthwork volume, this paper puts forward a new concept of the 3 - dimensional algorithm that takes all the roadway geometric design procedures as a kind of geometrical operation between the ground model ( original terrain model ) and the roadway model ( designed model ) under certain constraints, and then presents a complete 3 - dimensional algorithm of roadway earthwork volume as well as its executable computer program. the algorithm benefits from the re - triangulation technique of constrained delaunay triangulation ( cdt ), which can yield a true volume value theoretically. through a number of practical tests covering varied intervals between adjacent cross sections, it is proven to possess a higher accuracy compared with that of traditional methods. all the work involved in this paper indicates that the 3 - dimensional calculation of roadway earthwork volume is feasible, more accurate and should have further application in practice

    針對目前廣泛使用的道路土方量計算方法平均斷面法和稜柱體法計算不準確的缺點，提出了三維土方量計算演算法的概念.該演算法以帶約束的狄羅尼三角化（ cdt ）為技術核心，認為所有道路幾何設計過程都是地面模型和道路（設計）模型進行幾何運算的結果.基於此，本文設計出相應的演算法步驟，同時完成了相應的軟體開發，使得該三維演算法能和傳統的方法進行對比.此外，結合工程實例，採用了不同的道路橫斷面間距對三維計算方法和傳統方法的誤差進行比較、分析.結果證明三維演算法具有更好的精度，該演算法可用於道路、場地平整等工程土方量計算
  4. Evading risk in financial trading market cries for pricing options to a nicety. asian option, as the most flourish options in the finace market, the pricing has been focused on always. the exact pricing formula for the geometric average asian option had existed, but as to the european - style arithmetic average asian option, due to the dependence structure between the prices of the underlying asset, no analytical formula exists. on the hypothesis that the market is frictionless and without transaction costs 、 on the base of b - s ’ s and in the binomial tree model, we provide several algorithms for computing an accurate value of the european - style arithmetic average asian option. following rogers and shi and by jensen ’ s inequality, many different upper and lower bounds are provided ; meanwhile a formula have got by the comonotonicity and approximating the distribution function. all of the algorithms are easy for programming. with the development of computer, more accurater price can be computed quickly. and numerical example proved that these algorithms are very accurate

    對于幾何平均亞式期權它的定價相對簡單，已經給出了定價公式。對于算術平均亞式期權，它的未定權益具有軌道依賴特性，一直沒有得到它的定價方程的解析解形式。本文基於對市場是無摩擦且在沒有交易費用的情況下，在b - s模型下，利用二叉樹模型給出了算術平均亞式期權定價方法;並總結了利用jensen 』 s不等式給出的各種不同情況下的上下界;同時應用共單調性和近似分佈函數的方法也給出了算術平均亞式期權價格的近似公式。
  5. The arithmetic mean expectation model is not able to measure the income of portfolio investment correctly as bonds are a kind of successive investment, but the geometric average expectation can measure the income of successive investment

    摘要由於證券是一種連續投資，算術平均收益率並不能完全反映投資的收益情況，而幾何平均期望收益率才能反映連續投資的實際收益。
  6. The geometry average arithmetic average inequality is very important in mathematical analysis

    摘要幾何平均算術平均不等式是非常重要的不等式。
  7. This paper provides the elementary proof of geometry average arithmetic average inequality, which can advance the use of the inequality significantly and can express its value through some applications

    給出幾何平均算術平均不等式的初等證明，這樣就可使此不等式的使用大為提前，通過一些實例體現此不等式的使用價值。
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