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Tag Archives: abstract algebra
Climate Statistics
httpness: (studying statistics) Can there be a different standard deviation up and down? isomorphisms: Yes. it’s called a semideviation. (Or a quasinorm.) There are a lot of people who argue that semideviations and quasinorms are more natural than standard deviation … Continue reading
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Tagged abstract algebra, assumption of constant variance, assumptions, beginner's mind, constant variance, directionality, dispersion, Gaussian, Gaussian distribution, homoscedasticity, homoskedasticity, interquartile range, IQR, kurtosis, math, mathematics, maths, moments, normal distribution, probability distribution, quasinorms, semideviation, statistics, summer, teaching, temperature, weather
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Geotagging
Geotagged photos (e.g. flickr) and text (e.g. twitter) associate data to a particular point on the globe × time. In other words, a fibre bundle over S²×T. Imagine the position future historians will be in — if they can synthesise … Continue reading
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Tagged abstract algebra, China, Confucius, Discourse on Salt and Iron, fibration, fibre bundle, flickr, future history, geotagging, Han dynasty, Han Feizi, history, iron, math, mathematics, maths, Mencius, salt, spacetime, technology, twitter, www, Yan tie lun, Zhaodi
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A lot of people think of “geometric” art as being mathy, in the same sense that the band Maps & Atlases is mathy. But I don’t think lines, circles, squares, tessellations, grids, and polygons are more mathematical than globs, leaves, aleatorics, … Continue reading
Hilbert with Ladders, 2004 by Don Relyea (Source: http://www.donrelyea.com)
A functor maps dots and arrows (elements and functions), respecting composition. In category theory, there are no disembodied, “objective” things — every Thing must come with an Interpretation.
Movie Ratings
Another unmeasurable distance is ★★★ movie ratings. Movie ratings are drawn from the set {★,★★,★★★,★★★★,★★★★★} and related by the total ordering >: ★★★★★ > ★★★★ ★★★★ > ★★★ ★★★ > ★★ ★★ > ★ and the transitivity of > gives … Continue reading
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Tagged abstract algebra, Amos Tversky, distances, film, isomorphism, math, mathematics, maths, metric spaces, metrics, movies, Netflix, recommendation engines, topology
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