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Tag Archives: Lp norm
[T]he point of introducing L^p spaces in the first place is … to exploit … Banach space. For instance, if one has ƒ − g = 0, one would like to conclude that ƒ = g. But because of the … Continue reading
Circles
A circle is made up of points equidistant from the center. But what does “equidistant” mean? Measuring distance implies a value judgment — for example, that moving to the left is just the same as moving to the right, moving forward … Continue reading
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Tagged angle, circle, education, geometry, Henri Poincaré, imagination, long reads, Lp norm, L_p norm, math, mathematics, maths, metric, metric spaces, metrics, noncommutative, norm, norms, Poincaré disk, size
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Everybody knows that (referring to the sides of a right triangle). That formula tells you the straightline distance on a flat plane. Say I walked three blocks east in a gridstyle city and then four blocks north. Then I’ve traveled … Continue reading