MOS substitution: Difference between revisions

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=== If the template MOS is primitive, MOS substitution yields almost parallelograms in the lattice ===
=== If the template MOS is primitive, MOS substitution yields almost parallelograms in the lattice ===
The generator sequence thus yields ''q'' parallel chains ''C''<sub>1</sub>,  
The generator sequence thus yields ''q'' parallel chains ''C''<sub>1</sub>,  
..., ''C''<sub>''q''</sub> of the aggregate generator. The offset between ''C''<sub>''i''</sub> and ''C''<sub>''i''+1</sub> is equal to subst(''p''<sub>''t''</sub>, '''X''', ''p''<sub>''f''</sub>), where ''p''<sub>''t''</sub> and ''p''<sub>''f''</sub> are perfect generators (of the appropriate length) of the template and filling MOSes, respectively. The aggregate generator is  subst((''p''<sub>''t''</sub>)<sup>''r''</sup>, '''X''', ''f''<sup>''r''</sup>), where ''f'' is the filling MOS.
..., ''C''<sub>''q''</sub> of the aggregate generator. The offset between ''C''<sub>''i''</sub> and ''C''<sub>''i''+1</sub> is equal to subst(''p''<sub>''t''</sub>, '''X''', ''p''<sub>''f''</sub>), where ''p''<sub>''t''</sub> and ''p''<sub>''f''</sub> are perfect generators (of appropriate lengths) of the template and filling MOSes, respectively. The aggregate generator is  subst((''p''<sub>''t''</sub>)<sup>''r''</sup>, '''X''', ''f''<sup>''r''</sup>), where ''f'' is the filling MOS.


Hence in the GS,
Hence in the GS,