次微分,subdifferential
1)subdifferential次微分
1.Optimal conditions of set-valued maps optimization with subdifferential;次微分意义下集值映射优化问题的最优性条件
2.The Henig Efficient Subdifferential of Set-valued Mapping and Stability;集值映射的Henig有效次微分及其稳定性
3.The stability of strictly efficient points of set-valued optimization problem in the sense of subdifferential;集值优化问题严有效点集的次微分稳定性
英文短句/例句

1.fractional differentiation分数微分(法),分数次微分
2.Sub-differential of Convex Functions and the Converse of the Mean Value Theorem凸函数的次微分与微分中值定理的逆定理
3.Qualitative analysis of a class of quadratic differential system;一类二次微分系统的定性分析(英文)
4.A Solution to Three Types Continuance Linear Even Differential Equation of Two Times Complete Cubic;二次方三项式线性齐次微分方程的解法
5.The solution of the interlace series type linear even differential equation of contain negative twice power function and arrangement number;负二次幂交错级数型线性齐次微分方程
6.The application of successive derivation in non-homogeneous differential equation;逐次求导法在一类非齐次微分方程中的应用
7.An algorithm for solving nondifferentiable programming on circumscribed rectangular parallelepiped of subdifferentiable基于次微分集的外接长方体的不可微优化算法
8.Study on Determination of Rare-Earth Element Eu by 1.5th Order Differential Polarogram1.5次微分极谱测定稀土元素铕的研究
9.Several Problems of Convexity of Functions and Monotonicity of Subdifferential;函数凸性与次微分单调性的若干问题
10.Inversing the Linear Homogeneous Differential Equation System by Drazin;用Drazin逆解线性齐次微分方程组
11.Aisles, Recollements and dg Categories;Aisles,Recollements和微分分次范畴
12.nonhomogeneous linear differential equation非齐次线性微分方程
13.inhomogeneous linear ordinary differential equation非齐次线性常微分方程
14.nonhomogeneous linear system of differential equations非齐次线性微分方程组
15.The Solution of n step even Linear Differential Equation that is a kind of can Change into Successive integral;逐次积分法解一类齐次线性微分方程
16.Differential Operator Method in Solving the Group of Constant-coefficient Non-homogeneous Liner Differential Equations常系数非齐次线性微分方程组的微分算子解法
17.Subnormal Solutions of Second Order Homogeneous Linear Differential Equations with Periodic Coefficients周期系数二阶齐次线性微分方程的次正规解
18.The exponent of the derivative of highest order in a differential equation in standard form.次标准形式下的微分方程里最高次序的微商的幂
相关短句/例句

First order differential coefficient一次微分
3)Quadratic differential二次微分
1.Using the method of quadratic differential,we obtain that the Affine transformation in angle region is not an extremal mapping with its boundary values,and give explicitly an unique extremal Teichmller mapping with the same boundary values as the Affine transformation.采用二次微分的方法,得到了角形区域Ω1的Affine变换关于其边界值不是极值映照。
4)1.5-Differential1.5次微分
1.1.5-Differential cathodic stripping voltammetric determination of trace selenium in water;1.5次微分阴极溶出伏安法测定水样中痕量硒(Ⅳ)
5)order differential3.5次微分
6)γ-subdifferentialγ-次微分
1.A kind of set-valued differential(γ-subdifferential) of functionals in normed linear space was defined,and its properties and application to nonsmooth multiobjective programming problem was discussed,so that some new results were obtained.定义了赋范线性空间上泛函的一种新型集值导数(γ-次微分),讨论了它的一些性质及其在非光滑数学规划问题上的一些应用,得到了一些新的结果,这些结果改进和推广了已有的相关结论,对于进一步研究此问题提供了可靠的理论依据。
2.By means of γ-subdifferential and γ-convexity some results on maximum entropy method for γ-convex programming are introduced.利用γ-次微分和γ-凸性的概念,给出了一类γ-凸规划极大熵方法的几个结果:(1)如果x是γ-凸规划的严格局部最优解,那么x也是它的唯一最优解;(2)设xp是问题:minf(x),x∈Ωp{x|gp(x)≤0}的严格局部有限最优解,x是问题minf(x),x∈Ω={x|gi(x)≤0,i=1,…,m}的严格局部有限最优解,如果x∈bdΩ,那么gp(xp)=0;(3)设x∈bdΩ,如果xp和x同(2),那么xp→x,p→∞。
延伸阅读

次微分次微分subdifferential  次微分阵由山场,图血l;cy6及一帅epe。”“幼] 定义在与空间Y对偶的空间X上的凸函数f:X卜R在点x。的次微分是Y中由下式定义的点集: 刁f(x‘、)={夕EY二f(x)一f(x。)) ),对一切x‘X}.例如,在对偶空问为X‘的赋范空问x中,范数f(x)二}{x}}的次微分取如下形式: l、二·。x·:<*:,>一11二}.。、·}一1,,力厂Iv、=/二右.X,‘U。I少1 .X,=气,1刁八,u, 以无:’‘义”一’少,右义=”·凸函数.厂在点x。的次微分是一个凸集.若f在该点连续,则次微分非空且依拓扑以Y,X)为紧的· 凸函数的次微分的作用类似于经典分析中导数的作用.与导数的一些定理类似,相应的次微分定理也成立.例如,若厂.与j:均为凸函数,且在点又‘(Domf.)自(Domf:)至少有一个函数是连续的,那么对一切x, 日ji(x)+刁jZ(x)=日(f.+儿)(x)(Moreau一Rockafellar定理(Mo代牡u一Roc沁ifellart坛”-l℃nl)). 若X中的凸集A依拓扑叮(Y,X)是紧的,则A的支撑函数的次微分与A相重合.这表示凸紧集与凸闭齐次函数之间的对偶性(亦见支撑函数(s叩portfunction);超图(s即erg触ph);凸分析(convexana-fysis)).【补注】a(X,Y)拓扑是X上的弱拓扑(叭尼ak topo-10群),它由半范数族p,(x)=l}(夕‘Y)定义;这是使所有的泛函x~为连续的最弱拓扑. 元素x*〔日f(x)称为f在x的次梯度(sub罗l-d记nt).