Figure 13. Marginal distribution of

(

)

*

0.5,

0.1

*D*

*v*

*Fo*

*s*

*Bi*

*f*

=

=

when Bi is distributed according to

Equation (36). The surface plot in gray level depicts the bivariate pdf

(

)

*

0.5,

0.1

*D*

*v*

*Fo*

*s*

*Bi*

*f*

=

=

versus

(

)

*

,

*D*

*v*

*Fo s*

*Bi*

and *Bi * values. The contour plot depicts the bivariate cumulative density function

(

)

*

0.5,

0.1

0 0

*D*

*v Bi*

*y Fo*

*s*

*x*

*f*

*dx dy*

=

=

. The projection onto the axis

*

*v *, defined by the marginal

distribution

(

)

*

0.5,

0.1

0

*D*

*v*

*Fo*

*s*

*x*

*f*

*dx*

+

=

=

,

gives

the

resulting

distribution

of

(

)

*

0.5,

0.1,

,

*D*

*Bi*

*v*

*Fo*

*Bi*

*s*

*s*

=

=

(Equation 35). The projection onto the axis *Bi*, defined by the

marginal distribution

(

)

*

0.5,

0.1

0

*D*

*v*

*y Fo*

*s*

*Bi*

*f*

*dy*

=

=

gives back the distribution of* Bi *(Equation 36).

Other parameters are *L*=0.05 and *K*=1.