中英
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- These methods are lagrange mean - value theorem , monotone function , extreme value of function , taylor formula , concave and convex function
提出六種常用的方法，并指出每一種方法的適用類型、解決問題的關鍵和證明問題的具體步驟，最后結合實例說明方法的可用性。 - The results show that the fiber with chromatic dispersion that is a convex function of wavelength in normal dispersion region is favorable for generating a flat sc spectrum
發(fā)現(xiàn)在光纖的正常色散區(qū)，色散曲線與波長的成凸型函數(shù)關系的色散特征，有利于平坦光纖超連續(xù)譜的產(chǎn)生。 - This paper discusses the relationship between quasi - concave and pseudo - convex in the generalized convex function in the linear topological space and offers some conditions of equivalence
摘要討論了線性拓撲空間上廣義凸函數(shù)中的擬凸與偽凸之間的關系，并給出它們之間的一些等價條件。 - The concept of the midpoint quasi - convex function is introduced , and some conditions are obtained to ensure that midpoint quasi - convex function is quasi - convex in the measurable function space
摘要本文提出了中點擬凸函數(shù)的概念，在可測函數(shù)空間中，給出了中點擬凸函數(shù)擬凸的若干個充分條件。 - 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(shù)，并在此基礎上論證了其多目標規(guī)劃的充分性條件。 - This paper shows one interior and common property of some inequalities , i . e . they contain an s - geometrical convex function respectively . and therefore these inequalities are extended in the paper
摘要發(fā)現(xiàn)了一些常用不等式的一個共有性質，即它們分別蘊含了一個s -幾何凸函數(shù)，從而推廣了這些不等式。 - Chapter 2 established derivatives of a class of set - valued maps and differentials of subdifferential maps of convex functions in the sense of tyurin ( 1965 ) and banks & jacobs ( 1970 ) based on theories of convex pairs space
在第2章中，建立了一類基于凸集對空間的理論在tyurin ( 1965 )和banks & jacobs ( 1970 )意義下集值映射的導數(shù)的計算公式和凸函數(shù)的次微分映射的微分。 - In addition , by phase plane method we obtain the existence of travelling fronts ( al ) connecting two adjacent equilibria under the assumptions that f " is bounded and that of viscous shock waves c connecting two adjacent saddle points with / a convex function
另外，利用經(jīng)典的相平面分析法，本文證明了( )在f有界時存在連接相鄰平衡點的波前( a1 )及在f為凸時存在連接相鄰鞍點的粘性沖擊波c 。 - The maximal value point s problem of a convex function on a closed convex subset in locally convex space is considered by using the level set of function , - subdifferential and - normal cone . it gives several equivalent characters on the optimal solutions of the problem
利用函數(shù)的水平集， -次微分和-法向錐等工具研究局部凸空間的凸函數(shù)在閉凸子集上的最大值點問題，給出了最優(yōu)解的幾個等價刻劃 - Let f ( x ) and f ( x ) stand for the generalized gradients proposed by clarke and xu yihong respectively . three of generalized gradients are compared and the inclusion relation between them is so the set of the generalized gradient defined in this paper is smaller ; they coincide when / is a convex function or f is differentiable
文中對三類廣義梯度進行比較，若以和分別表示clarke和徐義紅定義的廣義梯度，三者之間的包含關系為即本文定義的廣義梯度集合較?。欢攆為凸函數(shù)或f可微時，三者統(tǒng)一。
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