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 Apr 26 comment Latin squares using fixed word lists You might want to consider the reduced problem, with the first line always being the identical permutation and all the other words being derangements. Mar 22 awarded Yearling Mar 3 awarded Excavator Mar 3 revised Formula for the number of latin squares of size $n$? fixed broken link to poster's survey article Mar 3 suggested approved edit on Formula for the number of latin squares of size $n$? Jan 13 revised Permutations of length $13$, decomposition into cycles added 159 characters in body Jan 12 answered Permutations of length $13$, decomposition into cycles Dec 13 answered What is the use of sets above the Complex set? Oct 29 comment Trouble understanding Latin squares and group theory One can also define infinite, uncountable, even continuous quasigroups and varieties of quasigroups and loops that are not defined by a latin square but (for instance) by generators, relations and identities. For an introduction to that see for example works by J. D. H. Smith Postmodern Algebra, works by Mal'cev, Sabinin, etc. Lookup also Moufang relations, Bol Loops. Oct 29 comment Relations between the Latin squares of order n and the groups of order n. You don't take into account that you can permute the rows or the symbols independently of the columns (or vice-versa) and still have a latin square (or rectangle) for that matter. There are evident normalizations, symmetries and overlaps so latin squares/rectangles arising from group Cayley tables will exhibit a lot less variety upon these transformations than latin squares coming from very nonassociative quasigroups and loops. Jun 20 answered Is there an example of nonassociative arithmetic addition? Jun 20 comment Is there an example of nonassociative arithmetic addition? @JoshuaHonig What Martigan and mixedmath say is true but there are two other aspects : 1) in rings, fields and their generalizations (i.e. modules, near-ring, near-fields, k-, there are at least two binary operations, and by analogy with the classical situation, one operation is called addition and the other multiplication. 2) addition is typically associated with the idea of the magnitude of the result being close to the magnitude of the larger of the elements being combined and multiplication with expansion of magnitude (analogy to the area, the volume, a list of possibilities etc.) May 21 answered computing in a loop May 5 revised dynkin-diagrams wiki description added 955 characters in body May 5 revised dynkin-diagrams wiki excerpt added 423 characters in body May 5 wiki created dynkin-diagrams description May 5 wiki created dynkin-diagrams excerpt May 5 suggested approved edit on dynkin-diagrams tag wiki May 5 suggested approved edit on dynkin-diagrams tag wiki excerpt May 5 comment Finding an equation of circle which passes through three points Are you sure that your solution covers all degenerate cases ?