1.The simplices must share a notion of time, which unfolds steadily in the direction of these arrows and never stands still or runs backward.
单体之间必须共享同一个时间的概念，并在这些箭头所指的方向上稳定展开，绝不原地踏步或向后退。
2.For space time, the elementary building blocks are four-dimensional generalizations of triangles, called four-simplices.
对时空来说，基本砌块是三角形的四维延伸，称为四元单体（four-simplex）。
3.Sperner's lemma concerns the decomposition of a simplex into smaller simplices.
斯波纳引理涉及到把一个单纯形分解为较小的单纯形的问题。
4.Discussion on Trigonometric Equalities of Simplices and Their Application
关于单纯形三角等式的研究及应用
5.An Inequality Involving Two Simplices and Its Applications
涉及两个单形的一个不等式及其应用
6.Some Geometric Inequalities Involving Two Simplices
涉及两个单形的几何不等式
7.A Class of Inequalities Involving Two Simplices and Their Applications
涉及两个单形的一类不等式及其应用
8.The k-Dimensional Mixed Vertex Angle of Two Simplices
两个单形的k级混合顶点角