On Whitney's Line Graph Theorem
On Whitney's Line Graph Theorem
复制标题
关于惠特尼线图定理
DOI:
10.1080/00029890.1972.11993053
复制
发表时间:
1972
影响因子:
0.5
通讯作者:
R. Hemminger
中科院分区:
文献类型:
--
作者:
R. Hemminger
If the assumption that the curve is analytic everywhere is relaxed at a single point and replaced by the assumption that the curve is of class C"', then the osculating plane need not exist at the point, the direction of the binormal line need not have a two-sided limit at the point, and the torsion, if it could reasonably be defined, might be of infinite magnitude at the point. These observations follow from consideration of the point (an inflection point), u= 0, of the curve y: