Rank-3 scale theorems: Difference between revisions
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=== Definitions and theorems === | === Definitions and theorems === | ||
Throughout, let ''S'' be a scale word in steps ''x'', ''y'', ''z'' (and assume all three of these letters are used). | Throughout, let ''S'' be a scale word in steps ''x'', ''y'', ''z'' (and assume all three of these letters are used). | ||
==== Definition: EMOS ==== | |||
''S'' is ''elimination-MOS'' (EMOS) if the result of removing (all instances of) any one of the step sizes is a MOS. | |||
==== Definition: PMOS ==== | ==== Definition: PMOS ==== | ||
''S'' is ''pairwise MOS'' (PMOS) if the result of equating any two of the step sizes is a MOS. | ''S'' is ''pairwise MOS'' (PMOS) if the result of equating any two of the step sizes is a MOS. | ||