monotonicity 中文意思是什麼

On the monotonicity of gerneralizes feller operators

運算元序列的單調性

On a poof monotonicity of h. alzer functions and property

函數單調性的證明與性質

Chapter 3 monotone points in musielak - orlicz sequence spaces : the role of monotonicity in banach much like the rotundity in banach spaces

第三章musielak - orlicz序列空間的單調點：單調性在banach格中的地位十分相象于凸性在banach空間中的地位

Monotonicity of the spectral radius of modified incomplete gauss - seidel iteration for z - matrices

賽德爾迭代法譜半徑的單調性

22 b ohning d, lindsay b. monotonicity of quadratic - approximation algorithms

它可視為二階牛頓迭代演算法的特例。

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。

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。

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。

Abstract : 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

文摘:本文介紹幾個新的集值映射的函數單調性和余強制性概念，並討論它們與已有概念間各種可能的蘊含關系

The well - posedness of time - delayed forward - backward stochastic differential equations is studied. by the method of continuation, the existence and uniqueness of such equations are proved under some monotonicity conditions

摘要研究了帶時滯正倒向隨機微分方程的適定性問題。應用連續性方法，在一定單調性條件下證明了帶時滯正倒向隨機微分方程解的存在唯一性。

In addition, we make research on the convergence of genetic algorithms by analyzing the globality and monotonicity of the schemata. it is demonstrated that for some kinds of the problems, the method of searching global best schemata can greatly decrease the ix abstract solution space and lead to converging quickly and successfully to the optimum. the monotonicity of schemata is used to determine deceptive problems and, with the aid of absorbing schemata, to analyze the schematic factors leading to ga - hard problems

另外，通過分析模式的全局性和單調性，證明對于某些問題搜索其全局最優模式可以大大縮小解空間，從而導致更快、更順利地收斂到最優解，並把模式的單調性用於對遺傳演算法欺騙問題的劃分，結合吸收模式的性質，進一步探討影響遺傳演算法困難的模式因素。

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。

Monotonicity of some operator functions under the order defined by a2

2下若干運算元函數的單調性

The mathematics experement on decision for function monotonicity and cancave - conves effects based on matlab

平臺上函數單調性與凹凸性判定的數學實驗

The constructed surface is c2 continuous on the whole domain, and is a piecewise cubic parametric polynomial on every subdomains. the interpolating surface can preserve the convexity, concavity, inflection property and monotonicity of the data set. in the end, each algorithm brought forward in the paper is exemplified, at the same time, error is discussed

3針對保形曲面插值問題，提出了一種插值于給定數據點集的參數型保形曲面插值演算法，所構造的曲面在整個區域上是c ~ 2連續的，在每個子區域上是分片三次參數多項式，並且保持被插函數集的所有子區域的邊界及其內部的軸向單調性、凸凹性以及拐點性質。

If the bifunction involving the multivalued general mixed quasi - variational inequalities is skew - symmetric, then the new predictor methods is shown that the convergence of the new method requires the partically relaxed strong monotonicity property of the operator, which is a weaker condition than cocoecivity

如果混合集值擬變分不等式中的雙函數是斜對稱的，則預估?校正演算法的收斂性只要求映射是g -局部放鬆強單調的即可，這是一個比g -強制性更弱的條件。

In 2000. lee and ding introduced the concepts of - monotonicity and - subdifferential for set - valued mappings and proper functionals, respectively, and lee also presents an open problem : if q : h - 2h is a maximal - monotone set - valued mapping, then under what conditions do we have rge ( i + q ) - h

2000年， lee和ding分別介紹了集值映射的-單調性和真泛函的-次微分兩個概念，同時， lee還提出了一個公開問題：如果q h 2 ~ h是一個極大-單調的集值映射，那麼rge （ i + q ） = h在什麼條件下成立

By the comparison theorem, a series of properties of the backward - forward differential utility process is gotten, such as time consistence, monotonicity with respect to the terminal value, monotonicity with respect to the consumption and concavity

運用比較定理，還證明了正倒向隨機微分效用過程的時間一致性、終值單調性、消費單調性和凹性等有關性質。

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。

From the monotonicity of the power addition along the central meridian line of the surface, methods for selecting the design parameters is discussed

從漸變鏡片光焦度平緩變化的單調連續性出發，分析討論pal鏡片設計參數的選取方法。