Paper: "A random tour through some scaling laws"
This is a cool paper on scaling laws and dimensional analysis,
How fast does a yacht’s price scale with length? There’s no underlying physical law here, just the kind of question to which a mathematician at a boat show, astonished by the high prices, wants an answer.Read about dimensional analysis.
Both the high resulting power (price p ∼ l3.5) and the quality of the fit (nearly 90% of variance) are striking. But notice that, for a given length and age, there’s still typically an e-fold variation in prices—due not only to condition, design and desirability, but probably also to the enormous cost of the kit (rig, engine, electronics etc.) on board.
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2 comments:
To an applied mathematician, the Body Mass Index (BMI), your mass m divided by the square of your height h, is a peculiar construct.
That section was particularly interesting to me.
Have you read about constructal theory?
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