The integral expressions of the expected discounted penalty function at ruin Φ(u,w) and its decomposed formulas Φ d(u) and Φ s(u,w) are obtained, and their twice-continuous differentiability are proved.
当风险模型为带有随机干扰的经典风险过程时 ,破产时罚金折现期望函数Φ(u ,w)及其分解表达式Φd(u)和Φs(u ,w)的积分表达被得到 ,并且它们的二次连续可微性也得到证明 。
As to their applications, some results about the low control theorem of the convex lower semi-continuous function and the subdifferentiable function theorem are obtained.
给出了有关凸泛函的两个命题,并由此对凸下半连续泛函的下控定理、次可微定理的条件、结论及证法进行 了探讨。
Reducibility for a Finitely Differentiable Linear System;
一类有限次可微线性系统的约化问题
As aspecial case, the viability of epigraph of a sub-differentiable function is discussed.
最后讨论了次可微函数上图的生存性问题。
The Optimality of Multiobjective Programming with S-Subdifferential Functions
S-次可微下多目标优化问题的最优性条件
infinitely continuously derivable functio
无限次连续可微函数
The chances of such a tragedy happening again are very remote．
这种悲剧再次发生的可能性微乎其微。
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
Spreading of Euler Formula on Indifferential Homogeneous Functions;
欧拉公式在不可微齐次函数中的推广
Light microscopy has also been useful in studies on the secondary wall of the cotton fiber.
光学显微镜还可以用来研究棉纤维的次生层。
Generation of continuously tunable second harmonics around 295 nm
295毫微米附近连续可调谐二次谐波的产生
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
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
On Nonliner differeial Equations Solved with Initial Integrial Method TANG;
可利用首次积分法求解的几类非线性微分方程
Types of Transformable Homogeneous Differential Equations & Solution Seeking of Integrals;
可化为齐次微分方程的类型及其通积分
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
The Differentiability of Characteristic Value and Characteristic Vector in Quadratic Characteristic Value Problem
二次特征值问题中特征值和特征向量的可微性
Incremental Subgradient Methods for Nondifferentiable Optimization in a Hilbert Space
Hilbert空间中不可微最优化问题的增量次梯度方法
Once again we saw her facial movement and heard her voice faintly.
可我们又一次看到她的脸在动，又一次听到了她微弱的声音。
fractional differentiation
分数微分(法)，分数次微分