Metallic MOS: Difference between revisions

Cmloegcmluin (talk | contribs)
Cmloegcmluin (talk | contribs)
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=== Checking our earlier results ===
=== Checking our earlier results ===


To confirm that the weighted mediant formula gives the same result for the golden generator as we were using before, we can plug in 0/1 and 1/1 for our bounds:
To confirm that the weighted mediant formula gives the same result for the golden generator as we were using before, we can plug in <span><math>\frac 01</math></span> and <span><math>\frac 11</math></span> for our bounds:


<math>\qquad \frac{1φ + 0}{1φ + 1} ≈ 0.618034
<math>\qquad \frac{1φ + 0}{1φ + 1} ≈ 0.618034
</math>
</math>


And finally we can show how we got approximately 0.419821 as the value for the noble generator between 1/3 and 1/2:
And finally we can show how we got approximately <span><math>0.419821</math></span> as the value for the noble generator between <span><math>\frac 13</math></span> and <span><math>\frac 12</math></span>:


<math>\qquad \frac{1φ + 1}{2φ + 3} ≈ 0.419821
<math>\qquad \frac{1φ + 1}{2φ + 3} ≈ 0.419821