TITLE:
Image Mathematics—Mathematical Intervening Principle Based on “Yin Yang Wu Xing” Theory in Traditional Chinese Mathematics (I)
AUTHORS:
Yingshan Zhang, Weilan Shao
KEYWORDS:
Image Mathematics; “Yin Yang Wu Xing” Theory; Steady Multilateral Systems; Opposite Non-Compatibility Relations; Intervention Rule; Self-Protection Rule; Mathematical Side Effects; Mathe-matical Intervention Resistance Problem
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.6,
June
27,
2012
ABSTRACT: By using mathematical reasoning, this paper demonstrates the mathematical intervening principle: “Virtual disease is to fill his mother but real disease is to rush down his son” (虚则补其母, 实则泄其子) and “Strong inhibition of the same time, support the weak” (抑强扶弱) based on “Yin Yang Wu Xing” Theory in image mathematics of Traditional Chinese Mathematics (TCMath). We defined generalized relations and generalized reasoning, introduced the concept of steady multilateral systems with two non-compatibility relations, and discussed its energy properties. Later based on the intervention principle in image mathematics of TCMath and treated the research object of the image mathematics as a steady multilateral system, it has been proved that the mathematical intervening 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.