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(wèn)題的關(guān)鍵和證明問(wèn)題的具體步驟,最后結(jié)合實(shí)例說(shuō)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(zhǎng)的成凸型函數(shù)關(guān)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?fù)淇臻g上廣義凸函數(shù)中的擬凸與偽凸之間的關(guān)系,并給出它們之間的一些等價(jià)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(diǎn)擬凸函數(shù)的概念,在可測(cè)函數(shù)空間中,給出了中點(diǎn)擬凸函數(shù)擬凸的若干個(gè)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(chǔ)上論證了其多目標(biāo)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(gè)共有性質(zhì),即它們分別蘊(yùn)含了一個(gè)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(duì)空間的理論在tyurin ( 1965 )和banks & jacobs ( 1970 )意義下集值映射的導(dǎo)數(shù)的計(jì)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(shí)存在連接相鄰平衡點(diǎn)的波前( a1 )及在f為凸時(shí)存在連接相鄰鞍點(diǎn)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(diǎn)問(wèn)題,給出了最優(yōu)解的幾個(gè)等價(jià)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(duì)三類廣義梯度進(jìn)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(guān)系為即本文定義的廣義梯度集合較??;而當(dāng)f為凸函數(shù)或f可微時(shí),三者統(tǒng)一。