esteve.farres's blog

Superposition principle on key markets

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The superposition principle states that, for a linear system the superposition of stimuli yields a superposition of responses.

Superposition Formula

where x is some sort of stimulus, r is some sort of response and F(x)=r is the linear relationship.

In other words, in a linear system,

The net response at a given place and time caused by two or more independent stimuli is the sum of the responses which would have been caused by each stimulus individually.

The brain’s predictable music

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The EEG signal spectrum falls inside the human ear sound frequency range. If we translate these electrical signals to audio, we can listen to low frequency waves. This is our natural brain music.

We can analyze the interaction between  music and our EEG, the interaction between external music and our internal music. Several studies show that the complexity of the electroencephalogram increases when the brain processes music, and that our brain response has significant induced differences related with the frequency domain of the music. But is it possible to play our internal music together with other instruments?

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