Confluence process of differential equation and deformation of complex analytic space

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Describing the natural phenomena or relationships among various quantities in such fields as physics, engineering, we use equation ; especially differential or difference equation. We study some interaction between equation and its solution. For example, such an interaction produces the important numberπ.(Such interactions as above are called"comparison between Betti structure and de Rham structure"or"period".) Various periods appear in various places, and we believe that there exists a common framework for all over the periods. However, nobody has found one yet. So, we have groped for an answer to this question. Finally, we found seeds of prototype.