the
range nder 
  
   
in
      
scal ed
  
max
min
x
r
cos   
      
init
scal ed
y
r
sin  
      
init
scal ed
x
 x
x
   
      
pr
e
init
data
xdata
y
 y
y
   
      
pr
e
init
data
y
data
The
ra
w
angle
is
 rst
mapp
ed
to
the
range
of
to
  
b
y
the
 rst
equation 
where
the
di erence
b
et
w
een
the
maxim
um
and
minim
um
v
alues
of
the
  b
y  
data
set
are
used
to
scale
the
angles 
A
ra
w
v
alue
for
x
and
y
can
then
b
e
computed
 Eqs 
    
and
     
using
the
ra
w
r
v
alue
pro
duced
b
y
the
range nder 
The
x
and
y
in
v
alues
are
then
con
v
erted
to
zero
mean 
unit
v
ariance
in
Eqs 
    
and
     
The
data
is
no
w
ready
for
the
CWM
engine
to
 nd
the
co
e cien
ts
of
the
p
olynomial 
F
or
consistency
similar
op
erations
are
p
erformed
on
the
exp
ected
screen
p
osition
co
ordinates 
The
follo
wing
equations
are
expanded
forms
of
the
generic
p
olynomial
equation
for
a
  dimensional 
 fth order
 t 
x
A
x
B
x
C
x
D
x
E
x
F
      
post
x
x
x
x
x
pr
e
x
pr
e
pr
e
pr
e
pr
e
G
x
y
H
x
y
I
x
y
J
x
y
K
y
x
pr
e
x
pr
e
x
pr
e
x
pr
e
pr
e
x
pr
e
pr
e
pr
e
pr
e
L
x
y
M
x
y
N
x
y
O
y
x
x
x
pr
e
x
pr
e
pr
e
pr
e
pr
e
pr
e
pr
e
P
x
y
Q
x
y
R
y
x
x
pr
e
x
pr
e
pr
e
pr
e
pr
e
T
x
y
U
y
x
pr
e
x
pr
e
pr
e
V
y
x
pr
e
  




  

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