User:Inthar/MV3: Difference between revisions

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Assume T1, T2, T3 occur within a contiguous string of Y's and Z's. Then you get a 4th variant of this class (within the whole scale) by using a string of the same length including an X.

So it's pretty obvious that you ~~havve~~ to have MV2 within a contiguous string, but what about the whole string minus the X's?

So it's pretty obvious that you have to have MV2 within a contiguous string, but what about the whole string minus the X's?

By MV3 we immediately have that chunks of X's separated by Q's can differ in size by at most 3.

If the occurrence of any class has an X inserted in the middle, then we can scoot it left or right until we have one of T1(possibly with inserted X's)+X, T2(possibly with inserted X's)+X, or T3 (possibly with inserted X's)+X. Scoot the string with the least X's to the left and you lose the X on the right, and gain another non-X letter on the left so you get a fourth variant of this interval class that contains T1 + X, a contradiction. (Check this again...)

@@ Line 43: / Line 43: @@
 Assume T1, T2, T3 occur within a contiguous string of Y's and Z's. Then you get a 4th variant of this class (within the whole scale) by using a string of the same length including an X.
-So it's pretty obvious that you havve to have MV2 within a contiguous string, but what about the whole string minus the X's?
+So it's pretty obvious that you have to have MV2 within a contiguous string, but what about the whole string minus the X's?
+By MV3 we immediately have that chunks of X's separated by Q's can differ in size by at most 3.
 If the occurrence of any class has an X inserted in the middle, then we can scoot it left or right until we have one of T1(possibly with inserted X's)+X, T2(possibly with inserted X's)+X, or T3 (possibly with inserted X's)+X. Scoot the string with the least X's to the left and you lose the X on the right, and gain another non-X letter on the left so you get a fourth variant of this interval class that contains T1 + X, a contradiction. (Check this again...)