Radiosity, definition

Matrix characterization of the radiative energy balance at each surface zone is facilitated via definition of three M X 1 vectors the radiative surface fluxes Q = [ i], with units of watts and the vectors H = [if,] and W = [Wi] both having units of W/m2. The arrays H and W define the incident and leaving flux densities, respectively, at each surface zone. The variable W is also referred to in the literature as the radiosity or exitance. Since W = el-E + pIH, the radiative flux at each surface zone is also defined in terms of E, II, and W by three equivalent matrix relations, namely,... 

For an insulated surface, using the definitions of emissivity and radiosity, show that... 

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