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1)  directionally differentiable
方向可微
1.
A recession function of a positively homogenous function can be presented as an upper convex approximation,which can be used to study the optimality conditions of a class of nonsmooth optimization—directionally differentiable optimization.
该上凸近似可用于研究一类非光滑优化——方向可微优化的最优性条件。
2)  arcwise directionally differentiable
弧方向可微
1.
Under the arcwise directionally differentiable condition,we obtain a property: if F is said to be B-C-semi-preinvex on K with respect τ,b,then the following inequality holds(y,x)(F(y)-F.
引入了向量值映射的B-C-半预不变凸性概念,讨论了B-C-半预不变凸函数向量优化问题(VP)minx∈KF(x)的局部弱极小点与全局弱极小点的关系,并在弧方向可微的条件下建立了向量优化问题(VP)minx∈KF(x)与向量似变分不等式问题(VVLI)求x0∈K使得F′(x0;τ^(x,x0))-intC,x∈K的等价性。
3)  the directionally differentiable consistence property
方向可微相容性
1.
Under the conditions of a smooth approximation operator satisfying the directionally differentiable consistence property,the locally superlinearly convergence of the smoothing quasi-Newton method is proved.
构造光滑算子逼近非光滑算子,在光滑逼近算子满足方向可微相容性的条件下,证明了光滑化拟牛顿法具有局部超线性收敛性质。
4)  directional differential
方向微商
1.
Fundamentals of the method are established by means of directional differentials and directional differences.
采用方向微商和方向差商讨论有限点方法,建立各阶各方向微商间的关系式。
5)  directional derivation
方向微分
1.
This study filtered the motion blurred image with 3×3 directional derivation operator to identify the direction of the motion blur.
为此,提出了一种运动模糊参数的空域鉴别方法,该方法利用3×3微分算子的任意方向微分功能鉴别运动方向,而后求微分图像自相关函数来鉴别运动模糊尺度。
6)  direction controllable
方向可控
1.
This paper presents four kinds of direction controllable trenchless techniques for pipeline installation.
介绍了4种方向可控的土层挤密式非开挖管线铺设方法:可控冲击矛挤密工法、可控冲击矛水平钻进技术、先导式土层挤密施工技术和土层挤密式微型隧道施工技术。
补充资料:寄微之 时微之为虢州长史。
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