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Tag Archives: isomorphism
[G]eometry and number[s]…are unified by the concept of a coordinate system, which allows one to convert geometric objects to numeric ones or vice versa. … [O]ne can view the length ❘AB❘ of a line segment AB not as a number … Continue reading
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
Posted in Uncategorized
Tagged abstract algebra, Amos Tversky, distances, film, isomorphism, math, mathematics, maths, metric spaces, metrics, movies, Netflix, recommendation engines, topology
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Vierergruppe
Any four things in order ABCD can be rearranged. You could do ACBD — middle swap — 1324 DBCA — end swap — 4231 BCDA — rotation — 2341 for example. Let’s say the four things are the four corners … Continue reading
Posted in Uncategorized
Tagged abelian groups, Bryan Hayes, education, Felix Klein, group theory, isomorphism, math, mathematics, maths, matrices, Niels von Abel
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