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Questions of the kind "What's the name for a X that satisfies property Y?"

29 votes

Terminology: A "corollary" to a proof?

It's hard to know exactly what the best way to write your paper is without more details. But I can see the following structure being commonly and effectively used: Theorem If [condition P] then [concl …
Sam Hopkins's user avatar
  • 24.2k
4 votes
Accepted

Name for generalization of trees to digraphs

I learned this terminology from Section 2.5 of "CoEulerian graphs" by Matthew Farrell and Lionel Levine (https://doi.org/10.1090/proc/12952). …
Sam Hopkins's user avatar
  • 24.2k
5 votes
Accepted

does this relation associated with a poset have a name?

It appears that there is no established name for this concept, but if you are looking for a suggestion, "potential covers" might be a reasonable name, since these are precisely the pairs $(x,y)$ which …
15 votes

Great polyhedra: What does "great" signify?

Quoting Wikipedia: https://en.wikipedia.org/wiki/Stellation#Naming_stellations John Conway devised a terminology for stellated polygons, polyhedra and polychora (Coxeter 1974). …
Sam Hopkins's user avatar
  • 24.2k
32 votes
Accepted

Who is Mrs. Gerber?

Check out the original reference "A theorem on the entropy of certain binary sequences and applications - I" by Wyner and Ziv: https://doi.org/10.1109/TIT.1973.1055107. Footnote 2 on page one explains …
Sam Hopkins's user avatar
  • 24.2k
9 votes

Why aren't $B_n$ and $C_n$ the other way around?

"Historical convention" (going back to Lie?) is probably the correct explanation, but note that under what I would call the "standard combinatorial folding procedure" as described by Stembridge in Fol …
Sam Hopkins's user avatar
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1 vote

Terminology introduced in recent years with more than one meaning

This is not quite a direct conflict of terminology, but it is a confusing near conflict of terminology, and it happened in the past twenty years: The generalized permutohedra are a class of convex polytopes …