PURPOSE: To exactly identify the pattern of a vector to be fluctuated with line be defining the direct product of sets, which are generated by bundling plural vectors, as an input space.
CONSTITUTION: The mapping deciding method for calculating mapping F from an N-dimensional calculation vector space ΩN to an M-dimensional calculation vector block ΩM is a mapping deciding method expresses a function fm(X) of an m-th component of the mapping (f) with an expression showing the sum of products between Lm pieces of functions glm(X) and a coefficient Clm and when a vector to be inputted to the mapping F is the vector to be timewisely fluctuated, the direct product of K pieces of sets generated by bundling the K pieces of vectors is defined as the input space. In this case, in the expression, X is X0, X1, X2... XN-1 and the Clm is the prescribed coefficient. Namely, a completely provided function system on an N parameter function space is adopted as the function glm(X). The arbitrary continuous mapping can be expressed by the function glm(X) by sufficiently increasing the number Lm according to the theorem that 'an arbitrary function can be expressed by the linear coupling of the complete function system' in the case of function analysis.
OGAWA HIROAKI
WATARI MASAO
| JPH05216858A | 1993-08-27 | |||
| JPH04118741A | 1992-04-20 | |||
| JPS6229214A | 1987-02-07 |