Hypothetic incomplete pair disappearances of complex numbers forming '0=(-1)+1' in the application to complex representation of some aspects of ruminant agriculture

The present study was conducted to investigate the complex representation of '0=(-1)+1' in order to leave some complex numbers for the complex representation of some aspects of ruminant agriculture. The results obtained were as follows: (i) There were two systems for the complex representation of '0=(-1)+1'; namely four-component system and eight-component system. (ii) The four-component system using four complex numbers to describe each of '-1' and '1' left real numbers or imaginary numbers through a hypothetic breakdown of bonding that connected four components, suggesting unavailability for the complex representation. (iii) The eight-component system, that was constructed by eight complex numbers forming '1' and giving a minus sign to one of the eight components to form '-1', left complex numbers through the hypothetic breakdown of bonding, suggesting availability for the complex representation of some micro- and macro-structures in ruminant agriculture.