MOS substitution: Difference between revisions
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We tentatively denote the resulting scale <math>\mathsf{mos\_subst\_aberrize}(a, b, x, c, k),</math> where <math>x \in \{\mathbf{L}, \mathbf{m}\}</math> is the step size identified with s by the template MOS and k is the brightness of the mode of the filling MOS used (0 corresponds to the darkest mode). | We tentatively denote the resulting scale <math>\mathsf{mos\_subst\_aberrize}(a, b, x, c, k),</math> where <math>x \in \{\mathbf{L}, \mathbf{m}\}</math> is the step size identified with s by the template MOS and k is the brightness of the mode of the filling MOS used (0 corresponds to the darkest mode). | ||
== Facts == | == Facts == | ||
The following holds for <math>S = \mathsf{mos\_subst\_aberrize}(a, b, \mathbf{L}, c, k)</math> (and | The following holds for <math>S = \mathsf{mos\_subst\_aberrize}(a, b, \mathbf{L}, c, k)</math> (and after switching '''L'' and '''m''', for <math>\mathsf{mos\_subst\_aberrize}(a, b, \mathbf{m}, c, k)</math> as well): | ||
Let <math>M_{a,b}(x,y;k)</math> be the mode of axby that would have brightness k if x were '''L''' and y were '''s'''. For example, <math>M_{a,b}(5,2;5)(x,y) = xxyxxxy.</math> Let <math> n = a+b+c</math> and <math>q = (a + c)/(a,c)</math>. | Let <math>M_{a,b}(x,y;k)</math> be the mode of axby that would have brightness k if x were '''L''' and y were '''s'''. For example, <math>M_{a,b}(5,2;5)(x,y) = xxyxxxy.</math> Let <math> n = a+b+c</math> and <math>q = (a + c)/(a,c)</math>. | ||