Ultrasonic Utilization Technology - An Ultrasonic Control Model Utilizing Spectral Series in Abstract Mathematics -

***<Thinking Approach>***
The Ultrasonic System Research Institute has developed a model of the state, including phenomena related to the nonlinearity of ultrasound, as a Monoïd model in abstract mathematics (category theory).
Based on this idea, we have developed a specific method for ultrasonic control as a spectral series of knot theory.
The control method adapted to ultrasonic phenomena realizes dynamic changes in cavitation and acoustic flow by feedback analysis of sound pressure measurement data using an autoregressive model. From previous cases and achievements, it has been developed as a classification technique for nonlinear phenomena (harmonics, low-frequency reduction).
Through a logical model, we dynamically control effective states of ultrasonic propagation (utilization) by classifying them into four types as follows:
1: Cavitation-dominant type
2: Acoustic flow-dominant type
3: Mixed type
4: Variable type
The above logical classification is dynamically controlled by categorizing it into three variable type categories as a realistic response method based on the results of previous measurement data (ultrasonic phenomena that change over time).


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