Generator-offset property: Difference between revisions
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'''Case 3.1:''' (''x'', ''y'') = (floor(''n''/μ), 2*floor(''n''/μ) − 1). | '''Case 3.1:''' (''x'', ''y'') = (floor(''n''/μ), 2*floor(''n''/μ) − 1). | ||
Since ''y'' − ''x'' = floor(''n''/μ) − 1 and floor(''n''/μ) ≥ 2, we have | Since ''y'' − ''x'' = floor(''n''/μ) − 1 and floor(''n''/μ) ≥ 2, we have ''x'' = floor(''n''/μ) = 2 and ''y'' − ''x'' = 1; hence ''y'' = 3. The chunk in Λ<sub>3</sub> whose size is 3 is made from two chunks in Λ<sub>2</sub> of size 1. (So Λ<sub>2</sub> has chunks of size 1 and 2, and Λ<sub>3</sub> has chunks of size 2 and 3.) | ||
Λ<sub>2</sub> has two consecutive chunks of size 1. Since chunk sizes of a mos themselves form a mos, Λ<sub>2</sub> has more chunks of size 1 than it has chunks of size 2. | Λ<sub>2</sub> has two consecutive chunks of size 1. Since chunk sizes of a mos themselves form a mos, Λ<sub>2</sub> has more chunks of size 1 than it has chunks of size 2. | ||