Generator-offset property: Difference between revisions

Inthar (talk | contribs)
Inthar (talk | contribs)
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'''Case 3.2''': (''x'', ''y'') = (floor(''n''/μ) + 1, 2*floor(''n''/μ) − 1) is impossible because it implies floor(n/μ) = 1.
'''Case 3.2''': (''x'', ''y'') = (floor(''n''/μ) + 1, 2*floor(''n''/μ) − 1) is impossible because it implies floor(n/μ) = 1.


'''Case 3.3''': (''x'', ''y'') = (floor(''n''/μ) + 1, 2*floor(''n''/μ)) is impossible because ''y'' = 2*floor(''n''/μ) can only occur if Λ<sub>3</sub> has chunks of size floor(''n''/μ) &minus; 1 and floor(''n''/μ), which contradicts the size of ''x''.
'''Case 3.3''': (''x'', ''y'') = (floor(''n''/μ) + 1, 2*floor(''n''/μ)) is impossible: Here (x, y) = (3, 4). But floor(''n''/μ) = 2 can only occur if Λ<sub>3</sub> has chunks of size floor(''n''/μ) &minus; 1 and floor(''n''/μ), which contradicts the size of ''x''.


The remaining cases are all impossible because they imply ''y'' &minus; ''x'' ≥ 2:
The remaining cases are all impossible because they imply ''y'' &minus; ''x'' ≥ 2: