函數的單調性 的英文怎麼說

中文拼音 [hánshǔdedāndiàoxìng]
函數的單調性 英文
monotonicity of a function
  • 函 : 名詞1. [書面語] （匣; 封套） case; envelope 2. （信件） letter 3. （姓氏） a surname
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 的 : 4次方是 The fourth power of 2 is direction
  • 調 : Ⅰ動詞1 （配合得均勻合適） harmonize; suit well; fit in perfectly 2 （使配合得均勻合適） mix; adju...
  • 性 : Ⅰ名詞1 （性格） nature; character; disposition 2 （性能; 性質） property; quality 3 （性別） sex ...
  • 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
  • 調性 : （music） mode/（music） mode
  1. In this research, the plant esterase of wheat and - ethanoic acid naphthalene ester were taken as materials to inspect the relation between the wheat esterase and the organic phosphorus, ten linearity equations were established which expressed the esterase vigor and the organic phosphorus density logarithm with the change of the numerical value of ultraviolet resorption, and the monotony range and the extremum of the function were confirmed

    摘要本研究以小麥為植物酯酶的酶源， -乙酸萘酯為底物，考察了小麥酯酶與有機磷農藥之間作用的關系，建立了10個以吸光值變化表示的酶活性與有機磷農藥濃度對數之間的線性方程，並確定了函數的單調區間和極值。
  2. A linear function is monotonic.

    線性函數是單調的。
  3. On a poof monotonicity of h. alzer functions and property

    函數單調性的證明與性質
  4. In the light of the recent work in biological models, especially in the chemostat models, the dissertation provides a systematic study on the asymptotical behaviour of some chemostat models built by delay or diffusion differential equations. the main contents and results in this dissertation are as follows : i ) the global asymptotic behavior of the chemostat model with the beddington - deangelies functional responses and time delays is studied. the conditions for the uniform persistence of the competing populations are obtained via uniform persistence of infinite dimensional systems

    本論文基於當前生物學模型，特別是恆化器模型的研究現狀，深入系統的研究了時滯和擴散方程描述的幾類恆化器系統的漸近性態，本文的主要內容包括以下幾個方面：一、研究了具有beddington - deangelies功能性反應函數的時滯恆化器模型，利用無窮維連續動力系統的一致持續生存的理論給出了兩競爭種群一致持續生存的充分條件，利用單調動力學系統得到了系統的全局漸近穩定性。
  5. The bifurcation analysis of the model depending on all parameter indication that it exhibits numerous kinds of bifurcation phenomena, including the saddle - node bifurcation, the supercritical and subcritical hopf bifurcation, and the lioinoclinic bifurcation. in the generic case, the model has the bifurcation of cusp type ol ' codimension 2 ( i. e. bogdanov - taken bifurcation ) but for some specific parameter values it has a multiple focus of multiplicity at least 2. and, we give the global analysis

    本文考慮具非單調功能反應函數的捕食者?食餌系統，討論了系統的bogdanov - taken分支，給出了不同種類的分支現象，包括鞍-結點分支，上臨界與下臨界hopf分支，和同宿軌分支，並討論了無窮遠點的定性分析，給出了全局結構。
  6. First, we consider an additive schwarz algorithm for the solution of ax 4 - f ( x ) 0, x when coefficient a is an m - matrix and f ' ( x ) 0. by applying the theory of weak regular splitting of matrices to the above considered algorithm, we obtain the weighted max - norrn bound for iterations. moreover, under the assumption that f ( x ) is concave, we establish monotone convergence of the considered algorithm

    本文內容如下：首先，應用加性schwarz演算法求解非線性互補問題，其中a是m陣，應用弱分解理論，我們獲得了在加權范數意義下誤差的幾何收斂速度，在f （ x ）是凹函數的假設下我們還獲得了此演算法的單調收斂性，同時我們給出此演算法的一種修改演算法，無需前面的假設，該演算法具有單調收斂性。
  7. 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。
  8. In the higher mathematics category, routine methods to work out the proof of an inequation are a flexible use of mathematical knowledge like monotonicity of functions, extremum values, maximum and minimum values, convexity function, medium value theorem, taylor equation, holder inequation, schwarz inequation, and the analysis, formation and transformation of inequation problems as well

    摘要在高等數學?疇中，靈活運用函數的單調性、極值、最值、凸性函數、以及中值定理與泰勒公式、赫爾德不等式、施瓦茲不等式等數學知識，對不等式問題進行分析、構造與轉化，是解決不等式的證明問題的常用方法。
  9. Based on the spectral irradiance measured with the sun - atmosphere ultraviolet spectrum radiometer ( sauvs ) developed by the institute of atmosphere physics and the changchun institute of optics and fine mechanics, chinese academy of sciences, measuring the direct and scatter irradiance spectrum of ultraviolet waveband which arrives in beijing global surface, giving a method of retrieving the aerosol optical depth ( aod ) and put up with primary results that exponential function can fit the retrieval results according to its visibility, putting forth different coefficients and functions on variable visibility, also giving a primary analysis on the aod in dust - storm day and some contrast between sun - day and dust - storm day, analyzing the ratio between scatter and total irradiance, and its relationship with atmosphere mass and total atmosphere optical depth, lastly contrasting with the survey results by aeronet beijing station, the results of retrieval is in reason, this work gives some help in researching the co - effect of aerosol - radiance - climate and makes preparation for further survey on the radiance characteristics of dust

    利用中國科學院大氣物理研究所與長春光學精密機械研究所合作研製的太陽?大氣紫外光譜輻射計（ sauvs ） ，測量到達北京地表的太陽直接和散射紫外光譜輻射，導出了大氣氣溶膠的光學厚度。初步結果表明：北京紫外波段大氣氣溶膠的光學厚度在絕大部分情況下隨波長的增加而單調減小，用指數函數可以較好地擬合反演結果，統計得到了三個水平能見度狀況下擬合函數的系數值和公式表達式；初步分析了揚沙、浮塵、沙塵暴天氣條件下氣溶膠光學厚度的特點，並與一般晴朗天氣條件下的氣溶膠光學厚度特點做了比較分析；分析了太陽紫外譜輻射中散射輻射與大氣質量、大氣總光學厚度的定性關系和定量表達式；最後與全球氣溶膠監測網路（ aeronet ）北京站的資料做比對，表明反演結果基本合理。
  10. In chapter two, under non - lipschitz condition, the existence and uniqueness of the solution of the second kind of bsde is researched, based on it, the stability of the solution is proved ; in chapter three, under non - lipschitz condition, the comparison theorem of the solution of the second kind of bsde is proved and using the monotone iterative technique, the existence of minimal and maximal solution is constructively proved ; in chapter four, on the base of above results, we get some results of the second kind of bsde which partly decouple with sde ( fbsde ), which include that the solution of the bsde is continuous in the initial value of sde and the application to optimal control and dynamic programming. at the end of this section, the character of the corresponding utility function has been discussed, e. g monotonicity, concavity and risk aversion ; in chapter 5, for the first land of bsde, using the monotone iterative technique, the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied

    首先，第二章在非lipschitz條件下，研究了第二類方程的解的存在唯一性問題，在此基礎上，又證明了解的穩定性；第三章在非lipschitz條件下，證明了第二類bsde解的比較定理，並在此基礎上，利用單調迭代的方法，構造性證明了最大、最小解的存在性；第四章在以上的一些理論基礎之上，得到了相應的與第二類倒向隨機微分方程耦合的正倒向隨機微分方程系統的一些結果，主要包括倒向隨機微分方程的解關于正向隨機微分方程的初值是具有連續性的，得到了最優控制和動態規劃的一些結果，在這一章的最後還討論了相應的效用函數的性質，如，效用函數的單調性、凹性以及風險規避性等;第五章，針對第一類倒向隨機微分方程，運用單調迭代方法，證明了最大和最小解的存在性，並研究了解的其它性質及在效用函數上的應用。
  11. In this paper, some new concepts are introduced for functional monotonicity and co - coerciveness of set - valued mappings, and variously possible implication relationships are studied among known and new concepts

    摘要本文介紹幾個新的集值映射的函數單調性和餘強制性概念，並討論它們與已有概念間各種可能的蘊含關系。
  12. For problems whose objective function or constraint functions have sharp curves on their contour maps ( such as the rosenbrock ' s function which has banana shape contours ), monotonicity may cause a series of very small steps, causing a huge number of iteration to reach their solutions. by using the nonmonotone technique, we get the sequence of successful interative point which should make the objective function mono - tonically decreasing. hence, we use both trust region strategy and line search technique and make each iterate generate an acceptable trial step in interior feasible set as next interative point

    我們利用非單調技術得到使目標函數非單調下降的迭代點，因為非單調克服高度非線性化函數的求解問題，從而避免了只使用單調搜索在「峽谷」現象局部最優解被卡的情況，我們用信賴域策略和非單調線搜索技術相結合的方法，使演算法產生的迭代步落在可行域內點，同時又在信賴域內滿足接受準則。
  13. Monotonicity of some operator functions under the order defined by a2

    2下若干運算元函數的單調性
  14. The monotonicity and logarithmically complete monotonicity properties for the gamma function are obtained

    摘要伽瑪函數的單調性質和對數完全單調性質被獲得了。
  15. On monotonicity of function generated by two integer inequalities

    兩個積分不等式的構成函數的單調性
  16. On the monotonicity of sequences generated by geometric convex function

    由幾何凸函數生成的序列的單調性
  17. Application of monotonicity of function and limit in drenching rain model

    函數的單調性和極限在淋雨模型中的應用
  18. Therefore, the modified transformation of triangle function is proposed for the oscillation series, and the monotone series can be obtained. 2

    因此，本論文提出一種變形的反三角函數變換方法，利用反三角函數的多值性，可將周期振蕩的數列變換成單調增加數列。
  19. Comparing the value from the monotony of a function

    利用函數的單調性比較大小
  20. Secondly, some properties of reasoning function are discussed in details such as monotonicity, compatibility and satisfiablity

    詳細討論了推理函數的單調性、相容性、可滿足性，並給出推理方法的一般步驟。
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