论文标题

三角比度球的包含特性

Inclusion properties of the triangular ratio metric balls

论文作者

Rainio, Oona

论文摘要

研究了包含特性,用于三角比度量,双曲线度量,$ J^*$ - 公制的球和单位球域中定义的距离比率度量。证明了几个尖锐的结果,并给出了关于三角形比率球与双曲球之间关系的猜想。还用于绘制三角形比圆或三维球的算法。

Inclusion properties are studied for balls of the triangular ratio metric, the hyperbolic metric, the $j^*$-metric, and the distance ratio metric defined in the unit ball domain. Several sharp results are proven and a conjecture about the relation between triangular ratio metric balls and hyperbolic balls is given. An algorithm is also built for drawing triangular ratio circles or three-dimensional spheres.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源