magnitudia
Magnitudia is a theoretical quantity used in certain mathematical and physical modeling frameworks to quantify the overall magnitude of a system. The name derives from magnitudo, Latin for greatness, with the -ia suffix common to the names of fields and quantities.
In a continuous model, magnitudia M is defined as M = ∫D ρ_m(x) dV, where ρ_m(x) ≥ 0 is
Mathematically, magnitudia is additive over disjoint regions and nondecreasing as the magnitude density ρ_m increases. If
Magnitudia relates to other quantities by specialization. If ρ_m is proportional to energy density, magnitudia mirrors
Measurement and use: magnitudia is a modeling construct rather than a standard measurement. Its value is determined
See also: magnitude, norm, scalar quantity, integral, density.