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K J Hsü

Publications and source records attributed to K J Hsü.

5 recordsLinked to original sources
PubMed1992

In search of a physical theory of time.

The variable time considered in science is a measurement. The relation of time to other variables is expressed in rates, and the variable time is seldom explicitly included in equations describing chemical reactions or radioactive decays. Recalling that the Greek word atom is applicable to indivisible particles in both spatial and temporal worlds, the term chronon is proposed to designate elementary particles of time in parallel to the atom in space. Considerations of interactions of chronons with material and nonmaterial objects could promote understanding of several paradoxes in physical and biological sciences.

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PubMed1991

Self-similarity of the "1/f noise" called music.

Suggestions have been made that computer musicians should attempt to compose fractal music, and questions have been raised whether there is such a thing as fractal music. Voss and Clark observed that music is scaling, or 1/f noise, as analyzed on the basis of the amplitude (loudness) of the audio signals; they failed to find a fractal distribution of acoustic frequencies (music notes) in music. Analyzing Bach's and Mozart's compositions, we have shown that the incidence of the frequency intervals, or of the changes of acoustic frequency, has a fractal geometry. Fractal phenomena are characterized by scale-independency. The purpose of this investigation is to demonstrate the self-similarity of music and to explore its implications.

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PubMed1990

Fractal geometry of music.

Music critics have compared Bach's music to the precision of mathematics. What "mathematics" and what "precision" are the questions for a curious scientist. The purpose of this short note is to suggest that the mathematics is, at least in part, Mandelbrot's fractal geometry and the precision is the deviation from a log-log linear plot.

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