Schroeder, Manfred

Various authors, such as Manfred Schroeder, have discussed how mathematical waveforms sound when converted to time waveforms and played as an audio signal. For example, Weierstrass curves (which are continuous but quite jagged) are a rich mine of paradoxes. They are produced by ... 

On a similar topic, Manfred Schroeder Fractals, Chaos, Power Laws, 1991) discusses a machine called Shannon s outguessing machine that analyzes the random head-tails choices of a human contender. In this gambling game, a player selects a head or tail, and a computer attempts to guess the player s selection. If the computer guesses correctly, the human loses money otherwise, the human wins... 

I thank Martin Gardner, J. Clint Sprott, Robert Stong, Arlin Anderson, Clay Fried, and Manfred Schroeder for useful comments. I thank Don Webb for permission to use our collaboration, Valley of the Horses, and J. Clint Sprott for his permission to use our collaboration, Escape from Fractalla, in this book. 

Manfred R. Schroeder, Imag es from Computers, IEEE Spectrum 6, no. 3 (March 1969) 66-78. 

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