Conventional differentiation has many problems, they are no-smoothness, singularity, and non-simultaneous.
The origin of those problems is:
1. Since the differentiation value of conventional differentiation has the infinitesimal real number (include the problem of direction), simultaneous equations are impossible (rotation, vibration, and instability). Moreover, it generates singularity.
2. The problem concerning the existence of minus, There is no apple of a minus piece.
A minus piece (a minus time and a minus space) does not exist in the macro world, although it is able to exist in the world of the uncertainty principle. Therefore, don't use the number of minuses absolutely. It is defined as an absolute arithmetic. Relatively, the number of minuses should be used. It is defined as a relative arithmetic (operation).
In this study, relative differential equation (RDE) by Zai Pair which element-ized Nature World solves those problems. Concretely, RDE is able to obtain smoothness by Str Zai, obtain the solution from the singularity by Zai Pair, obtain Kyoku without the infinitesimal real number by Zai Pair and obtain independent from the conventional absolute coordinate system. Moreover, the RDE has self-operating computing, the RDE self-operating computer (SOC) is not model, and the RDE SOC is solution itself and the graph itself. In an example, inflammation itself is RDE SOC itself.