Fourier Transformations

So what was Fourier’s discovery, and why is it useful? Imagine playing a note on a piano. When you press the piano key, a hammer strikes a string that vibrates to and fro at a certain fixed rate (440 times a second for the A note). As the string vibrates, the air molecules around it bounce to and fro, creating a wave of jiggling air molecules that we call sound. If you could watch the air carry out this periodic dance, you’d discover a smooth, undulating, endlessly repeating curve that’...

 Questions Without Answer

Daddy,' she says, 'which came first, the chicken or the egg?' Steadfastly, even desperately, we have been refusing to commit ourselves. But our questioner is insistent. The truth alone will satisfy her. Nothing less. At long last we gather up courage and issue our solemn pronouncement on the subject: 'Yes!' So it is here. 'Daddy, is it a wave or a particle?' 'Yes.' 'Daddy, is the electron here or is it there?' 'Yes.' 'Daddy, do scientists really know what they are talking about?' 'Yes!'

 The Rigidity of Digital

Before MIDI, a musical note was a bottomless idea that transcended absolute definition. It was a way for a musician to think, or a way to teach and document music. It was a mental tool distinguishable from the music itself. Different people could make transcriptions of the same musical recording, for instance, and come up with slightly different scores. After MIDI, a musical note was no longer just an idea, but a rigid, mandatory structure you couldn’t avoid in the aspects of life that had...

 Cultural Differences

The Italian model has a sign like a wave, meaning, “Come here.” Greek girls cause problems for non-Greek boys by saying “No” with a nod, not a shake, of their head. In New Zealand you can do one kind of V-sign but never the other. Americans look posh when they look neat; Europeans look posh when they look as if they’ve just come through a hedge backwards. A very fine linguistic example of model difference lies in the way the Irish and the English express themselves. Where the Britis...