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convexity n.凸度;凸狀;凸面(體)。

convexo-concave

In this paper , we discussed k - uniform convexity , k - uniform smoothness and the dual relationship between them . at the same time we discussed near - uniform convexity , near - uniform smoothness and the dual property between them 本文討論了k一致凸性、 k一致光滑性及二者之間的相互對偶關系,同時也討論了接近凸性、接近光滑性及二者之間的相互對偶關系。

The paper analyses three main theories : markowitz ' s portfolio selection model , sharpe ' s capital asset pricing model , black and sholes “ option pricing model . besides , the paper also studies duration - convexity theory 本文系統分析關于證券投資市場風險計量的三個核心理論:馬科維茨投資組合理論、資本資產定價模型、期權定價理論。

This method combines the intrinsic solution algorithm and the convex combination morph algorithm , showing that the former has an excellent property of preserving the convexity of the intermediate triangulations “ boundaries 該方法結合了內在解算法和凸組合變形算法,指出并證明了內在解算法具有保持中間網格邊界的凸性這一優良特性。

Under generalized convexity assumptions , necessary and sufficient conditions of optimality are obtained for nonsmooth nonlinear optimization problems . moreover , dual model is established and duality results are obtained 在函數廣義凸意義下,獲得了非光滑非線性優化問題的最優性必要條件和充分條件,建立了問題的對偶模型并得到對偶結果

The quasi - weak convergence in c [ a , b ] is studied and applied to the boundary - value problems in the nonlinear ordinary differential equations without the assumption of the continuity , compactness and convexity 摘要研究了連續函數空間中凹(凸)函數列的擬弱收斂性,并應用于沒有連續性緊性和凹凸性假定的二階常微分方程的邊值問題。

Abstract : using the definitions of semi - locally star shaped set and generalized convexity for vector functions . we discuss the existence of efficient solutions for generalized multiobjective programming 文摘:本文利用1中的半局部星狀集和向量函數的廣義凸性,討論了一類廣義多目標規劃有效解的存在性。

Abstract : in this paper , a kind of more generalized arcwise convex functions : p - arcwise convexity functions is defined . on the basis of definitions , sufficient conditions of multiobjective programming are proved 文摘:定義了一類更一般的弧式凸函數,并在此基礎上論證了其多目標規劃的充分性條件。

In the second chapter , the instruments ( for example , duration , convexity ect . ) and how to apply these instruments in market value analysis were formulated through examples 論文在第二章中介紹了市值分析中所用的工具(如持續期、凸度等) ,并通過實證分析闡述了這些工具的利用過程。

This property is independent with the convexity of the objective function and the line search used . therefore , the generated directions are descent directions of the objective function 這一個性質與目標函數的凸性以及線性搜索無關,因而,產生的搜索方向總是目標函數的下降方向。

As the directional derivative defined in this paper does n ' t show convexity , when its properties are considered , it is necessary to search for new ways to reach the conclusion 本文定義的廣義方向導數在一般情況下不具有凸性,因而研究其性質時,要采用新的方法來得到類似的結論。

The practical application indicates that the new design not only reduces the convexity of the roll profile obviously , but also leads to homogeneous attrition of rolls and low roll wear 生產實際應用表明,新設計的輥型不僅明顯降低了板凸度,同時使軋輥磨損均勻,輥耗量大大下降。

Abstract : an approach to construct smooth and convexity preserving approximation of implicit surface is presented . it is piecewise cubic and its smoothness is higher than c1 文摘:給出了隱式曲面的光滑逼近和保凸逼近曲面的構造.所構造的曲面是分段三次的,其光滑度高于c1

In 2 . 2 , we give a series of sufficient conditions for the existence and uniqueness of fixed point of increasing operator with u0 - convexity or q ( > 1 ) - homogeneity 在2 . 3中,作為前兩節抽象結果的應用,我們討論了具有凹凸性的hammerstein積分方程正解的存在唯一性問題。

This paper discusses four sufficient optimality conditions for nonsmooth continuous - time nonliear multiobjective optimization problems under generalized convexity assumptions 在廣義凸性假設下,討論了非光滑連續時間非線性多目標優化問題的四個最優性充分條件。

The paper mainly introduces the calculating equation for piston skirt molded lines , the drawing of piston , and the design for convexity mother plate molded lines 摘要重點介紹了計算活塞裙部型線方程,給出了從圖紙到中凸靠模板曲線板型線設計的方法。

In chapter 3 , we set some new conceptions of g - derivative , and make a research on the relations among these new derivatives and the convexity of an operator 第三章提出了一些新的g -可微概念,并研究了算子的凸性與這些新的可微性之間的關系。

On the verge of the hour the heads of a group of children , of ages ranging from six to fourteen , rose above the stubbly convexity of the hill 快到十一點的時候,一群年從六歲到十四歲的小孩子,從山坡上一塊滿是殘茬的高地上露了出來。

By adjusting the given tangent vector , the parametric rational arc spline also has convexity preserving property and monotonicity preserving property 在實際操作中,通過調整一側端點的切向量,可使上述圓弧樣條曲線保凸,保單調。

Non - convexity is in general the main feature of the difficulties for solving these models for wastewater treatment network optimization 它們是具有非凸性的復雜非線性數學規劃問題,用現有的方法進行求解不能保證得到全局最優解。