Oct 15, 2026
Fix \Omega, x\in\boldsymbol{{R}}^I and X\colon\Omega\to\boldsymbol{{R}}^I.
No arb if x = \int_\Omega X\,dD where D > 0.
If \Omega is finite then x = XD where X\in\boldsymbol{{R}}^{I\times\#\Omega} and D\in\boldsymbol{{R}}^{\#\Omega}.