Y. S. Zhang, S. Q. Pang, Z. M. Jiao and W. Z. Zhao, “Group Partition and Systems of Orthogonal Idempotents,” Linear Algebraand and Its Applications, Vol. 278, 1998, pp. 249-262.

has been cited by the following article:

• TITLE: Mathematical Reasoning of Treatment Principle Based on “Yin Yang Wu Xing” Theory in Traditional Chinese Medicine

  AUTHORS: Yingshan Zhang

  KEYWORDS: Traditional Chinese Medicine, “Yin Yang Wu Xing” Theory, Steady Multilateral Systems, Opposite Relations, Side Effects, Medical and Drug Resistance Problem

  JOURNAL NAME: Chinese Medicine, Vol.2 No.1, March 10, 2011

  ABSTRACT: By using mathematical reasoning, this paper demonstrates the treatment principle: “Virtual disease is to fill his mother but real disease is to rush down his son” and “Strong inhibition of the same time, support the weak” based on “Yin Yang Wu Xing” Theory in Traditional Chinese Medicine (TCM). We defined two kinds of opposite relations and one kind of equivalence relation, introduced the concept of steady multilateral systems with two non-compatibility relations, and discussed its energy properties. Later based on the treatment of TCM and treated the healthy body as a steady multilateral system, it has been proved that the treatment principle is true. The kernel of this paper is the existence and reasoning of the non-compatibility relations in steady multilateral systems, and it accords with the oriental thinking model.