*
24
Math 479 :
Dy
use
first qnestmshldke
you
,
fm TPZ
Angry
As
fr
Eigen
:
values
( Mae
!
ida
aynty , the
to itself
to
to
is
wf
:
come
.
.
.
the hell
.
we
E
as
do such
bthnhj f drip
ofsiythiy
a
as
a
mp
)
local cards
me
wild
.
on
and
possible
as
.
guniox
to
%
⇐
×
Then
Doi
he
So
Ey
as
:
to be
aefl
cords
:
:
Ilan )
In (
-
=
Entitle wit spke
He
In yo )
dDp
.
Mum )
,
&
.
,
ginn g
}
.
10,0 , 1)
=
cords
the
:
Nlu , D= In ,u )
,
&
KUEDFWTPE has
,
ku
-
NT
xi
-
at
so
AM
Id
=
5 wire
on
in
Bit
.
the by
of
,
course
NI Du
,
you
.
so
.
,
Du
190,0 )
=
&
d$
so
190,0 )
=
so ,
,
writ
win usyth b 's
E
an
TY
=
[ ::]
for
all
per
2
,
,
FI
Hunt luni
.
inxxu
Theta
5
on
o.O )
i
,
* yo
.
TPZ
np TPZ
a
1122
dlfj
tool
=
Dix
( IE
&
,
Ex
Nino
,
so
,
)
in 't
'
i
D= Falun
dope
[ !:]
Ira ) &#=(
9
eh
,
.
so
,
0,1,
Into )
D= Tuffs,
.
=
(
un
,
Eh
=
Hunt
.
FI
the hyperbole
:
Paraboloid
II
!III*"
¥f
IuxxI
(
,
u
-
'
,
=uz¥tna(u¥ha
NT
&
ftp.e
u
tufa
b)
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,
0,0 )
,
=u¥ey
(
l
It a
-
hue
&
ITEM
,
jn¥Ha ) )
,
west
,
The
Th
( o , so )
=
,
)
=
-2k
=
so
.
at
,
th
.
}
port
=L ]
drip
all 3
exgby
dDp
,
,
}
symwhzmtix
a
fat
I
.
:
0,01=2×3
105210
Ppi
.
For
A
vedws
ay
,
,
(
the
Prof
L
:
Dp
bin
B the
be }
,
In
differential
yfli
Since
Now
.
we
In
he
(
,
inner
ku
,
ii
TV
,
In
,
to
, ,
dnspo
.
be
for TPE
it
,
}
=
hare
< dnipw
bit odd
.
Du
,
so
it sulks
Litvin >
'
-
.
tosh
Liu
,
AD
=
=
L
( Th
dttpxn
E)
,
as
nets
in
R?
.
,
gics
=o
Lain D=
,
lixn dtp xD
shutt
.
+
,
=
in
.
.
snffb to
LD xD
&
'xD=o
th Shastht
a
we
,
put gang Ip )
xi ) =L Ni
=
TPE
the
=Tu & dtp in
Btdkpxu
Bt
10,0 )
( i , 0,0 )
=
*
in
(l
so
.
's
12
Thu
Notutht
, .
J4u2th#=2o¥' la
=
,
at the part In , D=
PAW
txuxxul
-2 1)
,
¥hty zi#4aT
-
,
In
,
.FI#a.2tIa)=u'Emu(uin4d
D= ( fiery
NI
( 2u
*
o
&
In
( An Bu ) ,
Itihtmlftnelht
dNp
Li ,x =< NIKDKNTKUD
as
is
desired
a
=o
.
#
.
synodic
mtix
.
.
ntv
,
it shstht Ipdtfo
.
} symmetric
The
Def
symmetry
:
fm
quadratic
from
Ipku
B called
The
He prposihh ntnlf
,
the second
iiD
:
=
-
fundamental
leads
to define the associated
is
Ld Dpui
from
f
,
the
quark
,
site
E
at
pt
Z
.
from
: