Optimization: Difference between revisions
m →Norm: clarify about Q |
m →General formulation: improve wording and formatting |
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== General formulation == | == General formulation == | ||
In general, the temperament optimization problem (except for the destretch) can be defined as follows. Given a temperament mapping A and the JIP J<sub>0</sub>, we specify a weight W, a skew X, and a ''p''-norm. In addition, an optional list | In general, the temperament optimization problem (except for the destretch) can be defined as follows. Given a temperament mapping A and the JIP J<sub>0</sub>, we specify a weight W, a skew X, and a ''p''-norm. In addition, an optional eigenmonzo list B<sub>C</sub>. The goal is to find the generator list G by | ||
Minimize | Minimize | ||
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<math>\displaystyle | <math>\displaystyle | ||
V = AWX \\ | \begin{align} | ||
J = J_0 WX | V &= AWX \\ | ||
J &= J_0 WX | |||
\end{align} | |||
</math> | </math> | ||