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1)  tradeoff cutting-plane
权衡割平面
2)  balanced dividing
平衡分割
3)  Trade-Off [英]['treɪd,ɔ:f, -,ɔf]  [美]['tred,ɔf, -,ɑf]
平衡权衡
4)  balance split point
平衡分割点
5)  secant facet
切割平面
1.
In mathematics,an ellipsoidal surface can be approximated by a series of continuous secant facets,each of which passes through four corner points of corresponding grid formed by two geodetic parallels and two meridians and is taken as mapping plane.
以规则的经纬网格为单元,以每4个网格角点所构成的平面来切割并逼近椭球面,椭球面上同纬度的点子均以椭球短轴上的相应点为投影中心投影到各切割平面,采用这种类似楔形的投影方式,将减小长度投影变形的最大值,并使相邻图幅之间保持空间连续。
2.
In this projection mode, the ellipsoidal surface can be approximated mathematically by a series of continuous secant facets which are all isosceles trapezoids.
本文主要采用了两种投影方式将椭球面上的各点按经纬网格投影到相应的切割平面上:楔形投影和按各点的椭球面法线进行投影。
6)  cutting plane
割平面
1.
Based on the result that a global optimal solution to linear bilevel programming occurs at an extreme point of its constraint region, we discuss the structural feature of its feasible region and propose a global convergent algorithm which make use of cutting plane technique.
利用线性双层规划的全局最优解可在其约束域的极点上达到这一性质,通过对问题可行解集合的结构进行探讨,引进一种割平面技术,提出了一个求解线性双层规划的全局收敛算法,并通过一个算例说明了算法的求解过程。
2.
In this paper, we analyze the methods from two aspects, cutting planes and branching on the basis of branch-and-cut algorithms.
本文在此方法的基础上,从割平面和分支两方面对该方法进行分析。
3.
An analytic center cutting plane method is given,which solves a linear relaxation of the dual semidefinite program in every iteration,and uses an analytic center of cutting plane as the next iteration point.
给出了半定规划的解析中心割平面算法,它可以用于求解较大规模的半定规划问题。
补充资料:楚子铜权衡
      中国战国时期楚国的一套砝码。为一套比较完整的天平砝码。衡杆木质,中间有提纽,两端各以 4根丝线系铜盘,全组铜权共 6枚,环形,重量以倍数递增,分别为六铢、十二铢、一两、二两、四两、半斤,在第四枚权上刻"之官环"。""是""和"子"的合文,"官环"是官府监制的环形铜权之意。原楚国境内常有环形权出土,少则 1枚,最多的一套是10枚,这类小型天平砝码常常用来称"市"上流通的金币,故称量小,准确度也较高。实测半斤权重125.5克,每斤合251克,现藏重庆市博物馆。
  

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