User:Inthar/MV3: Difference between revisions

Inthar (talk | contribs)
Inthar (talk | contribs)
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First assume for simplicity that len(C) = 2. Then there are only three possible lengths: 2Y, 2Z, Y+Z. Suppose all 3 occur. By (*), 2Y and 2Z cannot occur within the same contiguous string. We're assuming S has at least one X.
First assume for simplicity that len(C) = 2. Then there are only three possible lengths: 2Y, 2Z, Y+Z. Suppose all 3 occur. By (*), 2Y and 2Z cannot occur within the same contiguous string. We're assuming S has at least one X.


[Y X Y] [Y X Z] [Z X Z]


[_ _] [_ _] [_ _]
[_ _]       [_ _]       [_ _]      [_ _]
[_ X _]    [_ X _]    [_ X _]    [_ X _]
[_ X X _]  [_ X X _]  [_ X X _]  [_ X X _]
[_ X X X _] [_ X X X _] [_ X X X _] [_ X X X _]


[_ X _] [_ X _] [_ X _]
[_ X X _] [_ X X _] [_ X X _]
[_ X X X _] [_ X X X _] [_ X X X _]
=== Lemma 2: Sizes of chunks of any fixed letter form a MOS (except in the case "XYZYX") ===
=== Lemma 2: Sizes of chunks of any fixed letter form a MOS (except in the case "XYZYX") ===
TODO: account for case XYZYX.
TODO: account for case XYZYX.