Mathleltidgsol § Lpt

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44
-
Lpt
He Fmdamtl
Farrier series &
Suppose
Fist
off
well
if
,
ft
I
wit
we
f
Du
=
Sdlmf
-
to solve the
uht ogtnnb
.
fit
=
this is
f
on
the
astnt
only
.
the
then
,
gwtn
Poisson
ensue
u
the
Du
exdknef
fdx
§
the circle
an
.
shlm ?
a
§
=
f
.
otaku dx
[ ¥]!
=
0
=
f mt he
so
,
ay
uhe
,
0
.
,
,
.
.
To site
write
,
Then
date
&
so
rule
So the
Here
an
,
other
Then
Bt
case
=
=
Fx (
E
in
E
2
2
,
and
tin
"×
't
4+32
E)
cnet.in
in
.
4.2 n2cn
-
a
×
,
ne
=
E
=
'
end
=
Note the th }
.
o=o
a
my
,
't
in
×
ffdx
so
,
=
I
6)
=
0
=
ao
as
,
Ld to
hw
a
.
Htm to the
the
words
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,
tofu f
words
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ay
We
Since
gulf
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aytt
for
f
the
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g
flns
R
-
f
,
are
nth
last week
amdtnf
fdawtl
the
w/ avg.us he
Dl 4*f )
the
of
=
f
turner
f
&
4
y^*f ;
=
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an
sokkf
f
d I
,
.
weffut
fdamhl
oeffzib
e⇐in×
jin
Izo
=
Four
the
Four
&
4*f=u
,
ulxl
is
,
kpeflf ) Sw
on
as
Four
other
dtix
want to multiply the
we
new
guk
Poisson
multpkd the
we
.
4kt E
Define
In
Hit
B
u
f
&
e2
Mathleltidgsol
be the
In
a±H
=
du
c
in
)
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Z
¥×(
=
and
E
u=
't
't
IN
=
the
of
Lipkin
to st the
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ms
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part f
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ten
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tytms
Four
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the harman part
f
f
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.
diffnkl qwts
to
Veetr
Now consider the 3
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the
a
3-
dmnsil tons
fdd V
rear
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on
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to
unit abe
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conditions
period :c bandy
Gin
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?_
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feks
u=f
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On
Now
we
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extdte
can
fe LYTY
Frier
f
they
sites
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eat
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if
Hence
=
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Vector
fields
also
it b
s
he
Foniv
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te
in
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n ,
use
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in "
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series :
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look
at bit
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note
to
check
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emits
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the vuioy
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iln
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aid
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di d
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in "
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of
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f the ( saw )
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.
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in
to the
ahk
Poison qn
states
-
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Du
g
gin
is
.
sci ) E
Izaktilnzin
-
=
,
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in
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