Metallic MOS: Difference between revisions

Line 374:

</math>

because ⁠— of its two bounding ratios, 1/2 and 1/3 ⁠— ~~1/2 is~~ the parent.

because ⁠— of its two bounding ratios, <math>\frac 12</math> and <math>\frac 13</math> ⁠— the parent is <math>\frac 12</math>.

We could weight childward instead though:

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which, interestingly, gives us the same value as the golden generator.

In Wilson’s work, he only used childward lean; had he included parentward lean for his noble generators, he would have found every single generator in one earlier level of the tree than he had previously. For example, he names the golden generator, leaning toward 1/2, which of the two ratios is the child:

In Wilson’s work, he only used childward lean; had he included parentward lean for his noble generators, he would have found every single generator in one earlier level of the tree than he had previously. For example, he names the golden generator, leaning toward <math>\frac 12</math>, which of the two ratios is the child:

<math>\qquad \frac{1φ + 0}{2φ + 1} ≈ 0.381966

</math>

whereas we would name it, leaning toward 0/1, which of our two ratios is the parent:

whereas we would name it, leaning toward <math>\frac 01</math>, which of our two ratios is the parent:

<math>\qquad \frac{0φ + 1}{1φ + 1} ≈ 0.381966

@@ Line 374: / Line 374: @@
 </math>
-because ⁠— of its two bounding ratios, 1/2 and 1/3 ⁠— 1/2 is the parent.
+because ⁠— of its two bounding ratios, <span><math>\frac 12</math></span> and <span><math>\frac 13</math></span> ⁠— the parent is <span><math>\frac 12</math></span>.
 We could weight childward instead though:
@@ Line 383: / Line 383: @@
 which, interestingly, gives us the same value as the golden generator.
-In Wilson’s work, he only used childward lean; had he included parentward lean for his noble generators, he would have found every single generator in one earlier level of the tree than he had previously. For example, he names the golden generator, leaning toward 1/2, which of the two ratios is the child:
+In Wilson’s work, he only used childward lean; had he included parentward lean for his noble generators, he would have found every single generator in one earlier level of the tree than he had previously. For example, he names the golden generator, leaning toward <span><math>\frac 12</math></span>, which of the two ratios is the child:
 <math>\qquad \frac{1φ + 0}{2φ + 1} ≈ 0.381966
 </math>
-whereas we would name it, leaning toward 0/1, which of our two ratios is the parent:
+whereas we would name it, leaning toward <span><math>\frac 01</math></span>, which of our two ratios is the parent:
 <math>\qquad \frac{0φ + 1}{1φ + 1} ≈ 0.381966