eqt*nolen* t^il^'l , qxt = u*yb * 4:x'r r^t f x' 'ii'1r,7...

8
y;^ tp u;le4u= + ql- (t?';n''tonnixq -ekics (l+ 1') d?cz - xJ ry9 + ( I+ *') Aq' *nct *rct+ d4- 30flr3 (l * xz" l' q.od,-,nk= T I ?qt['u eqt*Nolen* t"^il^'l , QXt = U*Yb * 4:x'r r^t f x' oy"ohuo' n 'ii'1r,7*rr- Gdr - (u /* Qsuou[' ' 'J I rJ (V^Y' -v^V*\X" '2n5" aY ^ c- ' (" - \{ab'dXt * S^'?o' ' t''il *l5"b 4 o ,{"u, / -- ...1* \LtJtu \raca'Y@ - jnro ( EF' t ' ^ (-r- b o, , o,o)e (oro, o' ', o' ') \ = G2r-\ro,,.-.r0, t) o l-2roror" ''o1o)a1^;'yt 29) V/ ft*l F / Cl\^t* Wuo"F W"b Qr \ o"9 -?, - \a}) -VJlr {*nft .d = W-U-J -YoV= \ab-Yo-rh $g={3,,u + 2Vr^fol *@

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Page 1: eqt*Nolen* t^il^'l , QXt = U*Yb * 4:x'r r^t f x' 'ii'1r,7 ...maths-people.anu.edu.au/~eastwood/anu_mobility.pdf · O 20 o o-\\ r' (1,\ 9,, , r vF,l ... 'tts q- Vo-d \ d o2 *-. 2 r,l^vari

y;^ tp u;le4u= + ql- (t?';n' ' tonnixq -ekics

(l+ 1') d?cz - xJ ry9 + ( I + * ' ) A q '*nct *rct+ d4-

30flr3

( l * xz" l ' q.od,-,nk= T I

?qt[ 'u eqt*Nolen*

t"^il^'l , QXt = U*Yb * 4:x'r r^t f x'oy"ohuo'

n 'i i '1r,7*rr-

Gdr - (u /*

Q s u o u [ ' ' ' JI rJ (V^Y' -v^V*\X" '2n5" aY

^ c - ' ("- \{ab'dXt * S^'?o' ' t ' ' i l * l5"ba'l

4 o ,{"u,

/ -- ...1* \LtJtu \raca'Y@

- jnro

( EF' t ' ^ (-r- b o, , o, o)e (oro, o' ', o' ') \

= G2r-\ro,, .- .r0, t) o l-2roror" ' 'o1o)a1^; 'yt 29)

V/ ft*l F /

Cl\^t* Wuo"F

W"bQ r

\ o"9- ? ,- \ a } )

-VJlr {*nft. d = W - U - J - Y o V =

\ a b - Y o - r h

$�g={3,,u + 2Vr^fol *@

Page 2: eqt*Nolen* t^il^'l , QXt = U*Yb * 4:x'r r^t f x' 'ii'1r,7 ...maths-people.anu.edu.au/~eastwood/anu_mobility.pdf · O 20 o o-\\ r' (1,\ 9,, , r vF,l ... 'tts q- Vo-d \ d o2 *-. 2 r,l^vari

F.*r t / ) | ^ ' - . P^^Va ;,. q

:E*A lo6trvr- t<ee coonectiwtnot,r.) M

Q w =1? obqJ ia oy*melt'n'o

Ea( A n/ l

€ , - c . . ' A1-r C.r\ t./ rO b t o - d

41I

L

-6

Pq.

t>-a-5

f/i< aD t -- \ ?*U Y '{vu^^ este'l v ' r \ o - ! 2

n _ \

S1-"''' fr*-"t du = V*dv - ,f*do - \o 6n

W^b = ?*t*Jv* w**\- ----wYn., ou-

' -t to Vtn'oorpro)€o\va- '\(r

J \ I

t d

"\c

, Vn wA^'rr-ur' * !lo.'?

to":,:,:^ o1A

. V* t bc "'d = o -$. -'i* uo\^n f**

. ff"Vr -V.f )xt = w^6'J * s"%; -

Page 3: eqt*Nolen* t^il^'l , QXt = U*Yb * 4:x'r r^t f x' 'ii'1r,7 ...maths-people.anu.edu.au/~eastwood/anu_mobility.pdf · O 20 o o-\\ r' (1,\ 9,, , r vF,l ... 'tts q- Vo-d \ d o2 *-. 2 r,l^vari

l \

\- xr:\ o-ftci\ocl r-_1\__....--

on\-T

y7 ...-t. C b c C c t

V4C = do - l * do -

f

/ r - r GC \ '

( : ) V * O = ( n t t ) 1 - t - ' / 7 o

, -1 t . \ c ,V( r ^ - "J \ e crz , -vJ , - \\ / o _ o " ' - \ U o - V " \ o - - - b * V a d = o )

n + \ n t \ J

\-./ \.-/ \-/\-,/ \-.2 \./\-,/ \-./ ,'r t*. \-"\-/ \"'\-"'V\-" \_"\-'l\-" V V V V VV v!

eV'.*k q'*6tt\t* MvGr-iooc '

Q.nca,ut. S-xt = V*Xt

44 Qo.ot'= vo.cro'*

{.\\o*=. L"U ua d4-' & Y*olllt:k' , r ^z---Yf zt r ^^,,^^^.! tr,*0il

#u * \p t* d$ 6"r:":,lWWi"n Jiln ?r€aaacs 4 : .h"'q*"n'A{t^,Y*

q."1rr\u'n "\oaa, t''t''=

* oi*t^.1' {*'Aorn

J""- o- d.'?RteruV cVrPi""- oo|\ .

fi*d" = Xodv-nc*16 - nfu/o- *''q1" (o.\ =V*\39

decree t\&.*b q,:*

\^+ f Y t Y " tr r

G / \

o n0 .rb"A r o - v

\...._--.-

noF ot(

E*o ry:x "

+ S*t(nt" u5*'qutJ

F lx aDn .

d- 6-l w*^

r lr \J W\-

Wq

/ , \v ( w )

4i":!

\(nV<- {* C\". L*"d\. "\ dnns'\* 4 w<"2'r"F w

Page 4: eqt*Nolen* t^il^'l , QXt = U*Yb * 4:x'r r^t f x' 'ii'1r,7 ...maths-people.anu.edu.au/~eastwood/anu_mobility.pdf · O 20 o o-\\ r' (1,\ 9,, , r vF,l ... 'tts q- Vo-d \ d o2 *-. 2 r,l^vari

:[,.n f" a = v*fiz*o-) =1*./-'(%eD o-

= -ft- ( %o * *$'V*fr))

s/*(Voo- + *V*tgsl-) -)

--f/*(V^o* *f*o)

(i;n;onA QOW d*F

:7*V^cr

d4-o oF<-

v*\ Vo,ct _

, / t*\ -, /^t*)r(l

Ttta/r,v) i

(

t lu t 9

3i*\*\'O

Gn& c\ow

\ , 4 \(*) [r"n"y.wa ut

| 'V

sa.\isfi<r

/ v/-Vo,' /t '') -'

f- xt = v-xo

Y*6u= Yufr- +

\-1 "{t') , \\l* /

(.-2l

+ ('*r)fiXt + t{:X'L'

@66,-,V" - fbd* t-- /^*u

-:t:!-V o - -

t. v ..L'= y a__ + t - t Tr t ' ' * E - ' f * t r

\o

/'"^t^t - {n^*$* ?*u 4 A"I'

Page 5: eqt*Nolen* t^il^'l , QXt = U*Yb * 4:x'r r^t f x' 'ii'1r,7 ...maths-people.anu.edu.au/~eastwood/anu_mobility.pdf · O 20 o o-\\ r' (1,\ 9,, , r vF,l ... 'tts q- Vo-d \ d o2 *-. 2 r,l^vari

w C ) o o o*........-------

0 ,rlu^^ rl t^""n^''1, C ar| o'n '^lwl n v- T

o o o o 2V-

I o o O I

= *--c-"- -=-_-

\l we.

r-'l n\ / E , | - \ - . i

. ' l e t - b C - . . d

-- --'�"-- = V^cuke (tt'g dtlC'rLs* y'd-'f

/ ^ \ errr,.*rfi-I n' rod.... n Y v'---\"!---------4-

\r 5 4 j z t )

- J /

2 o o o 2 -fl'rf = X----\ - , ' * + 2 ' o o o z

6'1 (") = *--h ..-\- z t o o o U 2 - o o " o ( Z )

At ,o*r = :::-:r*;"lOl

= Q)L " ' 1 "6 x - : - * - - -

r . Qo n d i \ E u . . . A

w e, d te d.-nnq. .

- z t o o z

*ar-e /4'te voL^'e

[,o 4tnu ̂ -^,t.>

;, ?,idw| **ffJ U U

,p a .*t '*ercnn

-f* u

Page 6: eqt*Nolen* t^il^'l , QXt = U*Yb * 4:x'r r^t f x' 'ii'1r,7 ...maths-people.anu.edu.au/~eastwood/anu_mobility.pdf · O 20 o o-\\ r' (1,\ 9,, , r vF,l ... 'tts q- Vo-d \ d o2 *-. 2 r,l^vari

\.1 Je[ (c') = 7 (- C . - . o l

d"L (o) cr

/

( . " - ' )

o,b q-b -o.lus.I

Io \l .

raqrj

Y1

tI

,>o /= / r^ ' u : ( t - ' )/u) \,,

\ - + Z o - . - ' b

th 0 4

a

I

L , - t :

/V " ' to l

-r-/

W qke)€ i" a-

o o o o 9 -

O 2 0 o o

-

\\

r ' ( 1 , \9 , , , r vF , l, ( a b I

/ t 4 € a - - . - t Va, wL n+ I /w anl (o-) , L

? ( " + , ) - 2 . , :

t

/>4 dst' (a) 6-o" hco

\rVkece rl= 2 Vt^*5 coMc'toLq-

\ lr ^ ^ e-t_\u - .ouv \ \ \g 's

Lw

-p ? t' � { * q I,to

'tts q- Vo-d \ d

o 2*-.

2

r,l^vari "r.uf tgv*\^-s

/ ; o r ^ < s

^ / \- / a

- ) ?

VV\^kn{Si"6, h"t/

Page 7: eqt*Nolen* t^il^'l , QXt = U*Yb * 4:x'r r^t f x' 'ii'1r,7 ...maths-people.anu.edu.au/~eastwood/anu_mobility.pdf · O 20 o o-\\ r' (1,\ 9,, , r vF,l ... 'tts q- Vo-d \ d o2 *-. 2 r,l^vari

T4* il.] ru'. fr'er) ,,1 [.(*u (v.ot) = o]

\o ca,l,to-d, \t^e d.q<o* 4 w,rbi[&F ( * y'o(eulv<-

'/\-rruA.^r<- ( t'- t! " **A".-).

:^ * .,'nqln. "r\^ lu^ns {'* &qt* {- -*U'Uq > t '

n w \\ h -

-b IY16+. . - \

?r t -. ^ n./\ tU on4,'r.

I lar Qa)z- 4'

t , - h c

V n C " = d o - f +

*f * La'fl'^t\2-

c q bA IJ,.

I

(v^Vo -%v^)o- ' ' = 6n*r) V1* ' 'V^ ln ' - So'Vof '

< c c \ c j to = n V ^ t - d o u o l .

r ( - L 'l - \ \ r<_7 Oa ?

/>o Y^ l- \

b t v '6 / a ^ ,

t ? a - r \ t a| /'1 ca

t 7 r " = d o f + o a - fv a v

T s t | ^ L r I

-l-teqhi^3

V" ( * " J " :

_? * " * lwo ,o tu " l/v V^ Y.b = 5'-( - q'0'

--+

.f--f:f--t--\ t

C

lqj'\**Q / V^(="--l3ryt.iLit-(hrten -l.teqhi^J

Page 8: eqt*Nolen* t^il^'l , QXt = U*Yb * 4:x'r r^t f x' 'ii'1r,7 ...maths-people.anu.edu.au/~eastwood/anu_mobility.pdf · O 20 o o-\\ r' (1,\ 9,, , r vF,l ... 'tts q- Vo-d \ d o2 *-. 2 r,l^vari

I?*ln.Nn s4,uwt\non

; V q' 'n o' vs/'+or \"td '-i^'f tr* A

;;* h^ c'dvwo'uku

V^/Yda - /xV"6u=

WLr"h aho"'t- ;$""1^v'L

d l /V l 1 4

r) ' \ ) Y.

( - c D .- d a - l d b

( a * t b = v t / d o - " o +

I Vr*VorX" * Qa t*

= Vt*VolX'

/ J // - ,/au

[.*,-{,*- 3"rv ( V,-volXi ?.-o X j) \p

.-\ hI I

t )

\ o o o t V ( " ) - e 2 o o l

ilvr^*gGeryM qI

c {

' ,/ )

o rl -/'

;o n vaf""tty J^'' . r i ' l lq/rthn,a)'no^t4 ffir oY*raA'4)"" r

= fV^oorx '+ (?r to '

c c o ,O J l " . b

I( , . , , X-. c r c

r p , Y - : d *+ \ q - t , \ L

t Wl t " -

. rorXj -, Eu'h"-X' o ) X '