ABSTRACT

Equation 37.2, which describes the system in the new coordinates, can be more conveniently represented as follows. Set

ξ =

⎛ ⎜⎜⎝

z1 z2 · · · zr

⎞ ⎟⎟⎠ η =

⎛ ⎜⎜⎝

zr+1 zr+2 · · · zn

⎞ ⎟⎟⎠ ,

and recall that, in particular,

ξ =

⎛ ⎜⎜⎝

h(x) Lf h(x) · · ·

⎞ ⎟⎟⎠ .