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Entropeneur (talk | contribs) →Simplex calibration transform: added a subsection with a generalization |
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=\frac{\left|\operatorname{det}(\mathbf A)\right|}{|\lambda|}\prod_{i=1}^n\frac{q_i}{p_i}
</math>
If <math>f_\text{gcal}</math> is to be used as a calibration transform, a further constraint could be imposed that <math>\mathbf A</math> be [[positive definite matrix|positive definite]], so that <math>(\mathbf{Ax})'\mathbf x>0</math>, which avoids direction reversals. (This condition is the generalization of <math>a>0</math> in the <math>f_\text{cal}</math> parameter.)
===Differential volume ratio for curved manifolds===
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