In this study, we give a hyperbolic version of the Smarandache's
theorem in the Poincaré upper half-plane model.
Authors: Linfan Mao
Comments: 377 pages
Our WORLD is a multiple one both shown by the natural world and human beings. For
example, the observation enables one knowing that there are infinite planets in the universe.
Each of them revolves on its own axis and has its own seasons. In the human
society, these rich or poor, big or small countries appear and each of them has its own system.
All of these show that our WORLD is not in homogenous but in multiple. Besides,
all things that one can acknowledge is determined by his eyes, or ears, or nose, or tongue,
or body or passions, i.e., these six organs, which means theWORLD consists of have and
not have parts for human beings. For thousands years, human being has never stopped his
steps for exploring its behaviors of all kinds.