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动力学相对型可取点集及其构成曲面特异性研究
On Dynamic Relative Adoptable Point-Set And the Strange Behaviour of Its Construction Surfaces
【摘要】 对于空间运动相对动量矩可取点集,有的认为是一条空间曲线,有的认为是椭球曲面.本文证明只是该集的三个构成曲面才是空间曲面但并无唯一的型态.并证明在一些运动情况下存在着中心及非中心两类曲面间的突变性失稳现象.情况及其论证、计算均甚复杂.椭球面之可能性被完全排除.最后论证了可取点集本身必为空间散在性的有限个弧立点而非任何空间曲面或曲线.
【Abstract】 In some notion, the point-set can only he a special curve or an ellipsoidal surface. The present paper denies firmly both of these two conjectures. It is Proved that only the construction-surfaces belong to the special surface category, at the same time, excluding ellipsoidal contour As for the point-set itself can only be a limited amount of discrete points. It also gives a solid proof of the strange phenomenon of construction surface pattern unstability.
【关键词】 动力学可取点集;
构成曲面面型判定;
面型大小失稳;
【Key words】 dynamic adoptahle point-set; construction surface pattern Identification; Geometric unstability;
【Key words】 dynamic adoptahle point-set; construction surface pattern Identification; Geometric unstability;
- 【文献出处】 吉林工学院学报 , 编辑部邮箱 ,1988年01期
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