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
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.