Development of "Ultrasonic Control Technology" using Abstract Algebra Models

Development of "Ultrasonic Control Technology" using Abstract Algebra Models
This technology has been realized through the combination of the following techniques, which have been developed through research on ultrasonic interactions with liquids, gases, and solids (elastic bodies):
* "Simultaneous irradiation" technology using multiple different frequency oscillators
* Application technology of "elastic waves" utilizing indirect containers
* "Standing wave control" technology through methods of fixing oscillators
* Technology utilizing "nonlinear phenomena of ultrasound"
* "Ultrasonic measurement and analysis" technology through feedback analysis of time-series data
* Statistical processing technology of "dynamic systems" related to liquid circulation
* Ultrasonic welding technology tailored to the bonding state of the target object
....
The above technologies are organized and developed as an abstract algebra model of ultrasound (Monoid: category of monoids).
(Note):
The entire phenomenon of basic ultrasonic oscillation is treated as a Ring (category of rings), while phenomena caused by cavitation (primarily based on oscillation frequency) are categorized as "category of Abelian groups."
Phenomena caused by acceleration and acoustic flow (primarily based on frequency changes) are modeled as "Monoid (a unital algebra with a multiplicative identity)."


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