MOS substitution: Difference between revisions

Line 53:

<math>\displaystyle{ \mathsf{MOS\_subst}(a, b, c; \mathbf{y}, \mathbf{z}; k) := \mathsf{subst}\left( a\mathbf{w}(b + c)\mathbf{X}(0) , \mathbf{X}, b\mathbf{y}c\mathbf{z}(k) \right) }</math>

~~For brevity, this should usually be written:~~

~~<math>\mathsf{subst} \ a\mathbf{x}\left(b\mathbf{y}\,c\mathbf{z} \ k\,\vert\,b+c-1-k\right),</math>~~

~~using [[simplified UDP]] for the filling MOS.~~

Here <math>\mathbf{z}</math> is the new step size inserted, <math>\mathbf{y}</math> is the step size in the starting MOS identified with <math>\mathbf{z}</math> by the template MOS, and <math>k</math> is the brightness of the mode of the filling MOS used (<math>k = 0</math> corresponds to the darkest mode; the conventional understanding of "brightness" makes sense as <math>\mathbf{L}</math> (resp. <math>\mathbf{m}</math>) > <math>\mathbf{s}</math>).

@@ Line 53: / Line 53: @@
 <math>\displaystyle{ \mathsf{MOS\_subst}(a, b, c; \mathbf{y}, \mathbf{z}; k) := \mathsf{subst}\left( a\mathbf{w}(b + c)\mathbf{X}(0) , \mathbf{X}, b\mathbf{y}c\mathbf{z}(k) \right) }</math>
-For brevity, this should usually be written:
-<math>\mathsf{subst} \ a\mathbf{x}\left(b\mathbf{y}\,c\mathbf{z} \ k\,\vert\,b+c-1-k\right),</math>
-using [[simplified UDP]] for the filling MOS.
 Here <math>\mathbf{z}</math> is the new step size inserted, <math>\mathbf{y}</math> is the step size in the starting MOS identified with <math>\mathbf{z}</math> by the template MOS, and <math>k</math> is the brightness of the mode of the filling MOS used (<math>k = 0</math> corresponds to the darkest mode; the conventional understanding of "brightness" makes sense as <math>\mathbf{L}</math> (resp. <math>\mathbf{m}</math>) > <math>\mathbf{s}</math>).