ε-次微分,ε-Subdifferential
1)ε-Subdifferentialε-次微分
1.The concepts of ε-subdifferential and ε-conjugate mapping in linear topological spaces are in- troduced.在线性拓扑空间中引入ε-次微分和ε-共轭映射的概念,系统地讨论了它们的若干性质,建立了一般向量极值问题的ε-共轭对偶定理。
2.We first study the subdifferential of the dually marginal functions and then present their solutions by using the ε-subdifferential.借助ε-次微分讨论一类对偶边际函数的次微分,并得到此类函数解集的特征。
2)ε weak subdifferentalε-弱次微分
3)ε-subdifferential bundleε-次微分向量丛方法
4)First order differential coefficient一次微分
英文短句/例句

1.Design of Differential Gauss UWB Pulse Generator高速一次微分UWB脉冲发生器设计
2.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
3.fractional differentiation分数微分(法),分数次微分
4.Qualitative analysis of a class of quadratic differential system;一类二次微分系统的定性分析(英文)
5.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
6.ANALYSIS OF THE MICROPHYSICAL PRECIPITATION MECHANISM FOR A COLD VORTEX PROCESS一次冷涡过程降水的微物理机制分析
7.Several Solutions of Non-homogeneous Linear First-order Differential Equation;一阶非齐次线性微分方程的几种解法
8.Values of Singular Point and the Integrability Conditions for a Class of Cubic System一类三次微分自治系统的奇点量公式
9.Local and Global Bifurcation of a Class of Differential System of Order n;一类n次微分系统的局部分支和全局分支
10.Integral Criterion of One Kind of Second-Orden Ouaclratic Equation And Reduction of Its Integrals to Common Denominaton;一类二阶二次微分方程的可积判据及其通积分
11.Existence and uniqueness of limit cycles for a class of planar differential systems一类奇次微分系统极限环的存在性与惟一性
12.Aisles, Recollements and dg Categories;Aisles,Recollements和微分分次范畴
13.Weak Center for Reversible Polynomial Differential Systems with Isochrone;一类四次可逆多项式微分系统的细中心问题
14.Solvability of the general three-dimensional non-homogeneous partial differential equations;一般三维非齐次偏微分方程的可解性条件
15.A Solving Method for a Class of Inhomogeneous Differential Equations with Constant Coefficient;一类常系数非齐次线性微分方程特解的求法
16.Oscillation of Certain Inhomogeneous Hyperbolic Functional Differential Equations;一类非齐次双曲泛函微分方程的振动性
17.A Method on the General Solution to the Second-order Nonlinear Homogeneous Differential Equation;求二阶非齐次线性微分方程通解的一种方法
18.Solving a Differential Equation of One Orderby Polar Transformation;一阶二次微分方程在极坐标变换下的求解定理
相关短句/例句

ε weak subdifferentalε-弱次微分
3)ε-subdifferential bundleε-次微分向量丛方法
4)First order differential coefficient一次微分
5)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。
6)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)
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).