Information processing method, information processing...

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Reexamination Certificate

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Details

C382S302000

Reexamination Certificate

active

06687415

ABSTRACT:

BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to an information processing method, an information processing apparatus, and a computer-readable recording medium recording an information processing program. More particularly, the present invention is suitably used for transforming one multidimensional information pattern into another multidimensional information pattern and for inversely transforming the multidimensional information pattern having been transformed.
2. Description of the Related Art
Heretofore, Fourier transform, Laplace transform, etc. have been known as information transforming methods for transforming one multidimensional information pattern into another multidimensional information pattern and for inversely transforming the multidimensional information pattern having been transformed.
On the other hand, a model utilizing a multidimensional discrete information pattern (M. Creutz, Computer in Physics 5, 198(1991)) has been proposed as a model capable of being inversely transformed.
Furthermore, a diffusion process described by a diffusion equation or the like is known as a method for transforming one multidimensional information pattern into another multidimensional information pattern.
However, the above conventional methods and model have problems as follows. Fourier transform, Laplace transform, etc. can be used with relatively easy analysis because of using numerical formula expressed in the simple form, but they are restricted in applications because of linear transform.
The model utilizing a multidimensional discrete information pattern cannot handle a continuous value, and therefore input information must be processed into the discrete form before starting transform of the information. Some of information is lost upon the processing into the discrete form.
The diffusion process described by a diffusion equation or the like is applicable only to forward transform, but not to inverse transform. Accordingly, the diffusion process has a difficulty in maintaining the amount of input information as it is.
SUMMARY OF THE INVENTION
It is therefore an object of the present invention is to provide an information processing method, an information processing apparatus, and a computer-readable recording medium recording an information processing program to implement the method and apparatus, which can transform one multidimensional information pattern into another multidimensional information pattern, is applicable to a wide range of applications, can handle a continuous value, and can prevent a loss of information.
Another object of the present invention is to provide an information processing method, an information processing apparatus, and a computer-readable recording medium recording an information processing program to implement the method and apparatus, which can transform one multidimensional information pattern into another multidimensional information pattern and inversely transform the multidimensional information pattern having been transformed, is applicable to a wide range of applications, can handle a continuous value, and can prevent a loss of information.
To achieve the above objects, a first aspect of the present invention provides an information processing method comprising an inputting step of inputting information carriers expressed by n-dimensional vectors (n is a natural number) to a number n of information carrier storing means which are distributed over an m-dimensional space (m is a natural number) and have the function of holding information carriers in a real number value; a processing step of repeating processing to apply a predetermined amount of information carriers to the information carrier storing means, to move a predetermined amount of information carriers among a predetermined set of the information carrier storing means, and to dissipate a predetermined amount of information carriers from the information carrier storing means; and an outputting step of outputting information carriers expressed by n-dimensional vectors from the number n of information carrier storing means.
A second aspect of the present invention provides an information processing method comprising an inputting step of inputting information carriers expressed by n-dimensional vectors (n is a natural number) to a number n of information carrier storing means which are distributed over an m-dimensional space (m is a natural number) and have the function of holding information carriers in a real number value; a processing step of repeating processing to apply a predetermined amount of information carriers to those of the information carrier storing means which are positioned in the vicinity of a geometrical surface, to move a predetermined amount of information carriers among a predetermined set of the information carrier storing means, and to dissipate a predetermined amount of information carriers from the information carrier storing means; and an outputting step of outputting information carriers expressed by n-dimensional vectors from the number n of information carrier storing means.
A third aspect of the present invention provides an information processing method comprising a first inputting step of inputting information carriers expressed by n-dimensional vectors (n is a natural number) to a number n of information carrier storing means which are distributed over an m-dimensional space (m is a natural number) and have the function of holding information carriers in a real number value; a first processing step of repeating processing to apply a predetermined amount of information carriers to the information carrier storing means, to move a predetermined amount of information carriers among a predetermined set of the information carrier storing means, and to dissipate a predetermined amount of information carriers from the information carrier storing means; a first outputting step of outputting information carriers expressed by n-dimensional vectors from the number n of information carrier storing means; a second inputting step of inputting the information carriers expressed by n-dimensional vectors and output in the first outputting step to the number n of information carrier storing means; a second processing step of repeating processing to apply a predetermined amount of information carriers to those of the information carrier storing means which are positioned in the vicinity of a geometrical surface, to move a predetermined amount of information carriers among a predetermined set of the information carrier storing means, and to dissipate a predetermined amount of information carriers from the information carrier storing means; and a second outputting step of outputting information carriers expressed by n-dimensional vectors from the number n of information carrier storing means.
A fourth aspect of the present invention provides an information processing apparatus employing a number n (n is a natural number) of information carrier storing means which are distributed over an m-dimensional space (m is a natural number) and have the function of holding information carriers in a real number value, the apparatus comprising an inputting function of inputting information carriers expressed by n-dimensional vectors to the information carrier storing means; a processing function of repeating processing to apply a predetermined amount of information carriers to the information carrier storing means, to move a predetermined amount of information carriers among a predetermined set of the information carrier storing means, and to dissipate a predetermined amount of information carriers from the information carrier storing means; and an outputting function of outputting information carriers expressed by n-dimensional vectors from the number n of information carrier storing means.
A fifth aspect of the present invention provides an information processing apparatus employing a number n (n is a natural number) of information carrier storing means which are distributed over an m-dimensional space (m is a natural number) and have the f

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