Equivalent definition. Integral, taken over the hemisphere visible from the given point, of the expression L_v • cos θ · dΩ, where L_v is the luminance at the given point in the various directions of the emitted elementary beams of solid angle dΩ, and θ is the angle between any of these beams and the normal to the surface at the given point

${\displaystyle M_{\text{v}}=\frac{\text{d}{\Phi }_{\text{v}}}{\text{d}A}={\displaystyle {\int }_{2\pi \text{sr}}{L}_{\text{v}}\cdot \cos \theta \cdot \text{d}}\Omega }$

unit: lm · m^-2