simplifying z3 and z8

We define six geometric quantities;

[Graphics:../Images/index_gr_1640.gif]

We also define four scale parameters (but there are only three degrees of freedom among them).

[Graphics:../Images/index_gr_1641.gif]

The pivot z8[v0,1] is denoted by Z8G

[Graphics:../Images/index_gr_1642.gif]
[Graphics:../Images/index_gr_1643.gif]
[Graphics:../Images/index_gr_1644.gif]

The three-step multiscale z-value z3[v0,tau1,tau2,tau3] is denoted by Z3G

[Graphics:../Images/index_gr_1645.gif]
[Graphics:../Images/index_gr_1646.gif]
[Graphics:../Images/index_gr_1647.gif]


Converted by Mathematica      July 21, 2003