  Dr. Brizard's comment on my work is based on a conceived procedure that does
not come from my work. The defense of his claim that the modification of the
so-called standard Lie's transform theory is unnecessary is also unsupported.
This response reveals in detail the inconsistency issues in the so-called
standard Lie's transform theory by analyzing both its results and root causes.
The problem in the so-called standard Lie's transform theory is beyond the
issue to take into account the ordering difference between the guiding center
motion and gyromotion. The inconsistent commutation of derivative and limit
causes another issue. Besides, the so-called standard Lie's transform
formulation leads to an unnecessarily lengthy and tedious derivation process
for a one or two page task under the singular (or renormalized) formalism
described in my paper.
