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1)  approximate convex hull
近似凸壳
1.
As to the situation where fast correcting straightness errors are of necessity,this paper puts forward an approximation algorithm to evaluate straightness errors by using the approximate convex hull of measured points set in two-dimensional space.
针对需要快速求解直线度误差的场合,提出了利用二维空间中测量点集近似凸壳评定直线度误差的近似算法,在此基础上构造真实凸壳求解直线度误差最小域值的精确算法。
2)  nearly cone-convexlike
近似锥似凸
1.
In this paper the concept of nearly cone-convexlike set-valued maps is presented and a theorem of alternative for the system of nearly cone-convexlike set-valued maps is established in the real linear topological vector spaces.
文章首先引进了近似锥似凸集值映射的概念,并在实拓扑向量空间中建立了近似锥似凸集值映射的择一性定理,获得了近似锥似凸集值映射向量优化问题的最有性充要条件,最后给出了对偶问题并推导了对偶定理。
3)  upper convex approximation
上凸近似
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.
对于一般的非凸函数,其方向导数不具备任何凸性,可以利用一般正齐次函数的回收函数来给出它的一个上凸近似。
4)  Nearly convex sets
近似凸集
5)  nearly subconvexlike
近次似凸
1.
In this paper,firstly we have introduced nearly subconvexlike set vaklued map and obtained a series of characterizations about it,lastly we give the proof of the equivalence of subconvexlike set valued map and nearly subconvexlike set valued map in linear topological spaces.
本文在线性拓补空间中 ,首先引进了近次似凸集值映概念 ,并获得了它的一些性质 ,最后我们给出了次似凸、近次似凸集值映射等价性的证明。
2.
The concept of nearly subconvexlike set-valued map is introduced and some important properties of the new concept are obtained in the linear space.
在线性空间中引入近次似凸集值映射概念,获得了它的一些重要性质。
6)  weakly near convexity
弱近似凸性
1.
We research on describing preinvexity of functions in this paper by means of the density and weakly near convexity in the set.
利用集合的稠密性和弱近似凸性,进一步刻画函数的预不变凸性。
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