### Type of Distribution Function

Revised 07/07/2017

Code Figure
Meaning
0 No specific distribution function given
1 Delta functions with spatially variable concentration and fixed diameters Dl(p1) in meter (See Note 1)
2 Delta functions with spatially variable concentration and fixed masses Ml(p1) in kg (See Note 2)
3 Gaussian (Normal) distribution with spatially variable concentration and fixed mean diameter Dl(p1) and variance δ (p2) (See Note 3)
4 Gaussian (Normal) distribution with spatially variable concentration, mean diameter and variance (See Note 4)
5 Log-normal distribution with spatially variable number density, mean diameter and variance (See Note 5)
6 Log-normal distribution with spatially variable number density, mean diameter and fixed variance δ (p1) (See Note 6)
7 Log-normal distribution with spatially variable number density and mass density and fixed variance δ and fixed particle density ρ (p2) (See Note 7)
8 No distribution function. The encoded variable is derived from variables characterized by type of distribution function of type No. 7 (see above) with fixed variance σ (p1) and fixed particle density ρ (p2)
9-49151 Reserved
49152-65534 Reserved for Local Use
65535 Missing

 Notes: (1) Bin-Model or delta function with N concentration cl(r) in class (or mode) l. Concentration-density function: ƒ(r;d) = ∑l=1N cl(r) δ (d-Dl) Where: N - number of modes in the distribution δ - delta-Function d - diameter Dl - diameter of mode l(p1)i (2) Bin-Model or delta function with N concentration cl(r) in class (or mode) l. Concentration-density function: ƒ(r;m) = ∑l=1N cl(r) δ (m-Ml) Where: N - number of modes in the distribution δ - delta-Function m - mass Ml - mass of mode (p1) (3) N-Modal concentration-density function consisting of Gaussian-functions: Concentration-density function: ƒ(r;d) = ∑l=1N cl(r) 1/ √ 2πδl  * e-((d-Dl)/δl)2 Where: N - number of modes in the distribution d - diameter Dl - mean diameter of mode l(p1) δl - Variance of Mode l ((p2) with N fields of concentration cl(r) (4) N-Modal concentration-density function consisting of Gaussian-functions: Concentration-density function: ƒ(r;d) = ∑l=1Ncl(r)1/ √ 2πδl(r)  * e-((d-Dl)(r)/δl(r))2 Where: N - fields of concentration cl(r) δl(r) - Variance Dl(r) - mean diameter

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