Math 617 : Dg 23
.
of
The same
f
f
:
course
,
applies
Ex
:X
to
Signed
X + UX
Prof ;
Fist
off ,
Now
,
say
the god
let
M+=
fit
In
,
£M
ht
X+
ET
+
if
M¥20
ht X
Now
,
If
net
µ
X
=
X
'
.
th
.
X
1
+
OHH , if
F
up
P
,
D
.
no
)
=
}
Mt
.
To
.
th
Iffy
,
f
,
X+nX
X. &
Loan
.
=¢
.
this
see
st
.
.
µ
.
Bb
at
necessary
if
µk=±o
{uH
0€
the
.
.
:
she
rate
,
if
,
negate
D
positie
ex
.
E
F
,
Eu
,
.
Epsite }
:
.
.
EM
file
& B
st
positne
µ<+x
since
.
.
then X+
,
f
positive
unstutm
ulei
king Fe
=
&
,
Mt
=
.
Chef X
& X
+
X
u
IXH
slug
>
113 )
& 20
1
Mtt MIP )
=
>
,
F
positk then
N,
P
Tf
.
D
,
Mt
IN, )
.
position
utd
,
sit
EP µ
,
all thti left B to Shu X
so
,
0
,
-
tu
.
ml P )
with
e
0
=P ,
'
ft
ty the
:c
<
then X
.
.
at
n
,
UP
+
At
be the
nyalme
posit
is
,
Mt
13
.
mal
is
.
&
.
mtsrfr uhih the
snlbt
.
an
N,
posit
we
,
possible
w
or
/ uw
hat
.
,
1
If
halt at
su
<
it
MIPD >µ 1Pa ) ttnz
eitr
Xt
an
.
En
net
} either
P,
.
P,
exidb
Bt
+
20
M
€
.
Mlx -10
E
&
bint
psite
E
:
&
replay it with
b
to
attend
¥
Eniigri
=
f
the
-
,
uh, +20
mk+)=ul¥°i =⇐n# )
hhe
UX
+
.
3
take
to
is
=
X
:
IX , M) Then F X+ X
on
0
=
posihk
is
dan Mt
mo
write X
can
muse
.
! ou IED
M+= y
Bit
we
,
avoids
{ µ ( E)
sup
I
n X
µ
build X
to
,]
signed
.
X.,
assure
E
ftm
a
:
be
2
an
we
we
X
=
.
is
means
Hahndeanpositmthmyhtn
D
]
to
,
,
Stage
ul Bt , )
?
÷
is
1hm it
.
Pz
.
m
sin
,
when
an
,
is
st
he
ulpj )
he
+
ntj
a
the
a
N,
he
decrees
of
.
posilne
some
lpdznlp
µ
,
antlidm
snlht
h
Othmk
nth
f
ab
Pz
,
fr
,
antis
ihih
P ? Pit
,
) + 's
,
B
th , )
.
.
is
wl
.
w/
possible
.
.
Now
,
Bt th
Bt
P=§
if
-
th
x
>u1 D= hiyonlpn )
>
.
} means
P
Fk
slftsh
w
>
positne
)
nu
>
n
mtgr
,
FE
so
&
went
it
If
.
re
ff
Pn
he
,
Fz
the
,
,
,
then
the
Pn
it hold
&
µ
the
so
ath
F
IF ) ZNIPH
Namath
&
same
, , n , ,
Z
aobk
.
.
ml Putt tn
X.
,
mt
.
? µ IP ) + 's
self )
4
tn
n
]
.
so
tr
many
negative
.
to
infinity
se
na
n
.
.
want
aewf
to