Metallic MOS: Difference between revisions

Cmloegcmluin (talk | contribs)
Cmloegcmluin (talk | contribs)
Line 455: Line 455:
[[File:MOS iteration rules for L and s.png|452x452px]]
[[File:MOS iteration rules for L and s.png|452x452px]]


We are reasoning about MOS concepts in the abstract here. These truths about large and small steps are true whether they are 100¢ or 4516.8¢, and all we really care about are their ratios. So if we treat our small steps’ size as 1 then we can treat our large steps’ size as equal to the <span><math>L{:}s</math></span> ratio.
We are reasoning about MOS concepts in the abstract here. These truths about large and small steps are true whether they are 100¢ or 4516.8¢, and all we really care about are their ratios. So if we treat our small steps’ size as <span><math>1</math></span> then we can treat our large steps’ size as equal to the <span><math>L{:}s</math></span> ratio.


So the <span><math>L{:}s</math></span> ratio decreases by 1 because if an s-sized chunk has been sliced off L, and s’s size is 1, then 1 should be subtracted from L.
So the <span><math>L{:}s</math></span> ratio decreases by <span><math>1</math></span> because if an <span><math>s</math></span>-sized chunk has been sliced off <span><math>L</math></span>, and <span><math>s</math></span>’s size is <span><math>1</math></span>, then <span><math>1</math></span> should be subtracted from <span><math>L</math></span>.


<math>\qquad L’:s’ = (L - s):s = (L - 1):1 = L - 1
<math>\qquad L’:s’ = (L - s):s = (L - 1):1 = L - 1