't thiuers,Ls GPslto6Ug *r*gn DEDuCftve rE F{R oF PQ,o6RAns - - PDF document

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't thiuers,Ls GPslto6Ug *r*gn DEDuCftve rE F{R oF PQ,o6RAns - - PDF document

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trfi't* t tGt, lufr* ffific. nsRTiql: ffi |hr|fior,:3 r:r fA rfr ffif 't thiuers,Ls GPslto6Ug *r*gn DEDuCftve rE F{R oF PQ,o6RAns NTiCS ft.3.* : tl (*,1'i,5)! srhlg.g 7.>S b. )l tP.(t'cr[,[ * t = . - g ) (*,b,ig): LP.r

slide-1
SLIDE 1

ffific. trfi't* t tGt, lufr* nsRTiql: ffi |hr|fior,:3

ffif r:r

fA rfr

thiuers,Ls 't

*r*gn

GPslto6Ug

slide-2
SLIDE 2

DEDuCftve rE

F{R NTiCS

  • F PQ,o6RAns

ft.3.* :

tl (*,1'i,5)!

tP.(t'cr[,[ )l

LP.r (*,b,ig): tPq (.,f,ip} fr sgrlcn 4 frecrd qr.timr c.^ bG

nvciohcJ wilh thc' f(ogrq,tn bg ".pplicoli"n 4 {il.. r*rks dcfnilg {t c trnqn}ler .f {hG clcrnc^hcrg trittr.rehicm : P. (",g,f,$) a t (.'i) qd ty[) 3 P" (r,b, ir5) . [0" (',o,rg) s 66,5rrri) J qd (* > S) B(.rb,t5) ' {=,r , Q({SrirS) "d r- t}-9 3

r P1 (r+g>Srfr5)

P.. (r,5rir! ) = t P. (';g,i,5) oJ P, [.rt ,ir5 ) 5 .d (. < S)

sg$.n .t

srhlg.g 7.>S b.

* t = . - g )

4r

{L

It c, Sr. r P = F(P)

wher'c.

P = (P", Pe.., Pr, P+)

slide-3
SLIDE 3

thc r6ulc.'. "t

rn o[ tqua]icnt to?r.I,o !.

F= F(P) hal

treDqoQ.

. f i n PoPt

hcs

  • pV.-oQ

ro0,^,Fi-', P"pt e*tlhs

  • nl

JeT

  • F oPTi

HAL i^funRianr aSSERTiovS

,.nr. pl;el

l. ,*-,,

.'7

rrllLem o9

  • U

r'

{ F ' ' . ' '

  • llner Sct
t

g,r,arhon.t :

  • _l

I

uv arianfg :

  • t

t.

tt c fctt-*, A6 Pro ;aarher : 5oL^,\i*. to tv€

r . >
  • : t''

4nq

(J

. / , ' ' \ '

G f"Pt

!c* vt u'nig*e.

Le\ , ,/7 l bc thc set o! ulol'er "t {he' vanaber X a) Pci^t l'' a! lhc Prog rarn dr.\,r\iA *b. €x.ecu'hon 4 fhe P(eOtT'

skor\,nx *.iu vi ?e uo.€,^.. x , (.sr(i.) 'b

a.?^cJ

  • b3 {r,,a "***t0

&maaln'es "t *e

il;.) .- -Tl^rrr ' "'pt a-?.lb chare cleiciu ){.

  • ( i )

' X ' t / i " ( ' ' ' .

thc \lncocc^tr ol Tf,RSk i sh

  • .16

+{^a'} ,-,,t ^"t-- 1')'D r I :( .t' .\

( +h6 $.rtr.(* i nct, (o^l)'rt cl;"G)

slide-4
SLIDE 4

PR OOF OF

+ - spcif;ca.hoa

gn*'t' I;rrifi cal:a

0(x)

ToTCU cofl€ECTUESS

1b.,/1Y :

,frld.^

V(xrl)

.rd ttv,xl

  • ,tr'clar$

t - oprol:onaQ Pro4 : V X * 4tfl, t'r lon€' hoOf tdb I tl^c' pv ,i t ^tt sla'|cr S[ m"'tL t'ot bc

.-fr$S.t(i)=l.v}(+.,.hthcp,€6fc',t'1

*vt'..nan) toC \|il ftc.l lhtt-t V 4

\c, voriab\cr c"t'rat t *iru t*t Pe bf*^F ca)tn ( 4C"n ,t;F bc +^r3

a ^ J t u g . b , g { ' , . 3 P | . i . * t ^ p a r [ ' l a , ? € d

tg?fr,ob).

3. "1uirlohnt \'gi*Q

P"-P :

rlt';l

vx.0(x),

\Arlr

*lairpyirl

slide-5
SLIDE 5

PeeP eF ToTeL. cocpgcrNg(s

(eXn lr p Le )

P"ogom :

r)r$ &

l: f-.t)

  • !:

trl

l.e.l

LrI

Iri

raucriantS :

l. ri >

  • : (rk

e kriJ .,n bk$ ) "rs, q$ r=i-,i$ .d U,s

lr.a

  • hrtrrinrh'e,.

,.hcn 7Vo

  • ph*el

{'

"?

fYrigr : i >o

^ !

F,,-- (*,-q,ir5) . ttl>o

: "d .{C

d(",s) = lG,u) :

tri>

  • :

l[o.s)

€< ({-t)5 3

  • <qi.r)

$

) 9 "

7 < O

IL

iJ 'L
  • - t
  • :

aEz

d

5'o),

I (*rb) , q?t (',tf,S)

rd

J

0,F,5) gu-'*h..g

the

pufL r

  • I

tt Lz, Sl *r$ )

  • jt. t,,

iJ ; > Bg) er (t.$ <o)l

B f$3

3a?u,t e*lAiho^ 'fcrni nrtion :

u'5

qaJ

t nt.rna(ipe, 'lc FLoYD

'r nncKr4).

slide-6
SLIDE 6

coNsTR,uCTi ,lA D6tr;ruirioU

  • F

fiF sFr

  • F oPT;HnL iru

yRnirrrul- RSSAeTioTS .

b5 \hc ,hurti,lt m*"f 4 urcc$irr a{cFr$ralicnr 3

,J

ht.

l
  • F(p)

F(p)

!,-, F'( p:)

f, -l O|o

  • f (.orn

pr^|,,ri3 Port .o rrrr4csida ble le1*na 4 afp.t,r"ialrioru d u.'u"tb ;$ilfu

^o

f

  • P { =
t t

^r+l

l

  • ?

t a a

  • qt'

r e

i\c poblen

  • )

t{.c

ftnU ch.olic ',hr^hon nc,hcd'

ar.r\ arbttra,i Ll Cclermine e,b

.l4nc 13{,A.Fr ^ - .t; ,-P lLc ,- .^L q,\

ercL

at\t}

a,lc

bc ".GJ rtrp r^t h iclt

t; 1*a|'orl

I P.,

  • &.

(9.r..., P*)

[ ;. , f ^ (?^ ,...) Pn)

,rr\.iA *f?

  • c0.:c rnJ ^ wLolr otdcr ("'t tr!

r\+ co rv1;.rcn! n frr g.thn rn dc p,itil'.fo ) .

slide-7
SLIDE 7

svH60tic

)rrn antlc.

EXE c't'tTiou

etr^.trlier.l hl6

IP. I

tP"l

t?ll

Lt:

  • nli rlc ,,^ rofu

"i6 ttac. "La oV;c. ,t-cl

  • fi.n

r

Pt trt.rt :

l .

Errraf.eAt :

  • _ \

{n\otc e:ecs,lrion irr./ietq i Pf'sotF''{' ;

Panq6'a {o *hr

":bitc r).9 &

I' :: t -$ j

  • d r
  • t

lt'

(P,. c e.tL

f'(P.., Ps)

t{Pc)

l,n . f ,Pr, Pg) =

= f (Pr)

u"( Pr)

rg*\.hr' .*ttuulbr

P"n =

trc

to= Pro = h!$

a

,t'i -5 .{C $'$)

s(?(g(f,(?drD)

3 xbt?(t ls)D

z f,(rtf (?'lt)))

3 9(?(?"1!)

P,'= f.

P;= L(P.)

PJ . 0 (pit

q = c(a)

{= tt?r')

6' l(?r')

f 'gtB)

'. (i r,I

G

(ir,l

  • }u(?.18)

3 3(?"!)

3

qDJ

l. '."i*

.{d r)c$ .rd ..r{ *J yS)

slide-8
SLIDE 8

Tno3rerrr ;

r.datin3 :

ftr\.rhc'r :

etd rf (rr)))

3'*' [t (Pr))

Rrrol*lion l

l}o' $ ). 9u,t

Q=*, , Ig.+l t

Ce= iZI Gt+l , c,i rl i,>@,) 5

ttl 'o!i[c *>'$ b

t?rj .l:'z-J)

t(ll3 e4;

Pe = f(P.) er XUc)

*$eis f te.) ' {rt qd U'$ g [ee) 3 Pg (r,+g r e rtrF l

r4

?"-

nt3eRTforuS :

5zg

2 |.5

i )g-

co

,d

ql

(,.' .!d tr.2$J)

cr'+t

SVNT HgSiS oF OPf ;HtL iruve 4ierur rAc r*!G "E oLffc,crrca el. a.flons

"eJ

+1

a

  • s."

d(f(r')

  • iffuvrc, 3ua/ailar :

g]i tt(Pn) =

i tr(Pn)l

t*'z i'

  • n. t T.v
  • "
d J

i r o a .

, ..agqr

u=,1

U' U" !_'$d

O
  • e
t
  • =
  • L
  • .

r ^ t '

6fL l-^ J u

l-r' .1 Ql. I fHD

! L srt \. Irl

^^l

:-

I

g

anJ

  • ad Gal

,

.od

a.J

l"= u-!f; 'sd TA.

* g trit ^I S "l*r

\,

= Ui'

r.''5

1

( , c ;

J r_..

=) S; '5

,t rd, t-ig

..r(i rl) ,-

=

  • TE''

(t ( hg) s-s ))

S.lnticn :

(i rtE) 'J I' i-d$ d

slide-9
SLIDE 9

rrfoTiorlf

  • F

iP?Roxi rttTg

t'rrlrf illitirIS

Fn'egrcm :

tr)

te$ tll

t',j

while t).r b

!
  • '
g
  • 3 lr e-S .i
  • d,

:

  • t

4 aff(er,gil4tc vi.E ;a\h :

(^'i) %J [s-S)

(*) u) noc (u'$) [.>p) "ec (U'[) (".u) *J (U=g) qd L.,t

rnplie-lirrr i

("'i) ooC (U,5)

e., ?r Pr) d r',S

b(**g r$,rz3)

(-P,,,g Pg) .gf [r.U)

Exon pO

ff

grlr*r

t

t'

3

  • A
  • I

EI

  • l

P.r *

&,*

P r t

Pq+

er ")03

j FcF(?)

h*irt Grrc4ne$ : :ap.^l e.,n dihir , + (ir$) = (Z >"5

  • "hpul

\r.ifir^l'o , t(ogU{B), (U> r>o)

?'-l 4 pcrlial oocclo?31 :

Pq (*,Srir[) =} I (trgrirS )

slide-10
SLIDE 10

I^)HY CNNI qJE USE R SET P OF

iPsnoriHnre iuvnRiftuTS (s""h rhet' P+ FCp)) Fo? PnRT;rL CoFnEcTruEsS P€otrS ?

,D ,tr""t ofi fuv.ot

^ l

totn* nttS '.

t vi''

  • u) )vL

, dY , tJt gri) => 4(y, xJ 3

b * l r r

so?L= g1,{e ,;tpl ,ipl

hcnc lha, porhal o"n.lnc$ c.o,.otil'ie'r ti :

LW , QCx) , fh ,VY ,Q!gtp"tt*l,F(P)->PJ =t 40,r)J

t $ x , 0 6 ) ) v J " , v y r e P r

g+ F(P) o2sl ro,,(ZF)

  • QU'rS J

P,roP + {'.rninoho,r r

tr* ,o(i) ) Jr, 3Y , #czit]

{ Vr , F(p)', P, vf :,0(X), Jt./ AY , f{tr i) }

nolr *hli rsb\e. {\e ,y'.*rc,Q

rri,l"rrrnh .i

vi ptcl: cc errhr vturr'.r.i'r d twrn o?

not rlrrrfruol,'rrlc. '

tte &fihih'or

  • f

lhc eaprc*v,ic,h

slide-11
SLIDE 11

*hnr^rt

*l*j

rr. I 'q. t

t f

rg " ,t '.(.

'
  • 4
' ; '

^rr' (F(P) =) F + r(p)

s?rf Tn Esis oF A?,ry,oriflaTg

n$an r iovs

D 0$ succca3l gg

$ren6ilcnC "f p.r;rnc,tbru :

?.k

  • Pot
  • Pt*l

e')

: Pd+ Prl I

tr(P)+ Pdtl J g,,. Pi n rucfr

d { a

c+ P' @

  • rtLl d

Iabqr ianh Chrohc Tt?rtirf

slide-12
SLIDE 12

5Y t/THEtiS ftcgrrnr r

OF

hPPRoIit'ntE ass€ffiorv.$(6xar.r

PtF)

l1l ,.,\ik rlu do

{ e t

i , i a : ' r - g j

i,i 8;

%d

  • d

f .nCe-

d

noh.a

'$ ( o(€) => P.) , ?i ri ohren6lLencJ- :

= 13.\e [o,eJ : x,. I -i$ "sd 16'[ ] thal P-t =) PJI ond r(Qt) =a loi'

F(P:)=tf,iefo,tJ: i)(ltrrg .,rt r'i'-6g C$,gl

tdc €1, (e (p"t) -t P*') , P*3 (ir rl.renqtl.neJ :

* . ' - i ; ) o : a . = i - , j $ q C I = , S - J

mbict l\q'' fs{ -, PJ cnd f ( Pei) * Br

F[P-q) =135)o: i)6*,)5 .4sl r'i-jS ,uJ S=Sl

arirr r(ej) => PJ , Pu\ rl

  • ^

afPoltrmat' "nirtcrnaat

Eqr,lolior,g :

Pg = (ir$ "d r=i 'd $'5)

  • f
  • (">$ .{d P{.

(.*gls r tr$)

4 S=j)

)f =,'f )

',.r'5 )

St,rnglf.n.l,

  • cheohc. ilero);n l?*.ee

..

E =

Prl =

e 3 FrB:)-

?&I

f I ,i tid z "e'- gAd ,q'fr (i>r$ qd ut ed .*'.r-)

  • l (,[vte

['-r,eJ, r.]kg) d r=z-S

(; r,{ rtd r. *t ^dt .*' .i )

  • f

(Vl o. l-r,d,J , iVkB) "^I r. ' F..{

r ((vr. e Lrrl)/ i. >t,ii ) ,,rl x,r. ..1,{

slide-13
SLIDE 13

stNTHeSiS

  • F tPPnorifiaTE

essgQT;oMS C c-rri vueO)

,D gU rqctrtrirf,

  • tokcnC

. Pt u,rcl. +tcl

  • ,utl

: F(P) r)

=r, p: ,.h t, .. uucl

cfftlt r,,ir d"cat ;

F(PJ *, Po

pd*l

  • > p.'

lhel I rtei+P t ilPo

\

fCr

b

Q6r.r'irrt

Irlvor,cnt

,F(PJs p

\ rter),:)l

'i.,\d P noF. te n\Fti.,,hlt

slide-14
SLIDE 14

SyNTHeSiS

  • F

ffltrrn

t.r

tej trl

thJ UJrrkcad

hPtRoxis{nTE asse(fioruS (€xf n ftg)

Elurhrtr :

.^.,hitc r)$ dc ( lt = '--i '!!t q'5 - :' J lc. = (P. "-r Pr) '4d r?$ a i r a - 9 j I p t . p " ( r * S r S r i r $ )

  • d;

I t = (p, ,g p,) qgJ r<$ chnoli ,lerrhrn ,G?,ra,,.. .'

pi- (li>o : f.i-i5 .J .6'$ ) F(E) = (r;l>o : I > h*,)S

  • al

*'i-ii 'd ${ )

a,.-ch {tro} F(t")+6, c\eor.g E=r(Pl)

i.'.
  • .

F(PJ)

  • (3o>"

, tl.o or rrjst .aJ r )$-;jg d .=:-;5 ..^J

u'5 )

,rcake ninS :

6 = (3;)o :

= f"' rlnp. i ) (j.l)[ qd r,i-i$ d $'$ )

slide-15
SLIDE 15

@McluSianf

'11..e- €^herro .? n ualr'ant r^w b;s @^rirtu.i\ cornp*fAA the,

  • y'ma€

(+*.Q cone*r"r.) or orFrunatE (f h"f

  • .rt*ncu)

sotrlbn tr a, r6,hn "l

  • lualEhs

Aaf!.i^6 \5c r,rlrar.,hnr "0 dtr ?(o0rer\

ltlhhrrFcl.iCeru

  • hqrlc. sh*.d'.:eJ thc.

naoQuhtn r? clur,F.,ens )a,v.r*d crak r^tr'?,I .

Ho,^reDet \h3 h*.- not b..n- hl'crerlc"L .ti .olu.ri6 6g.coP qu.oLias

. A r\url ttfQatclt a.^rq A cpnal

. Hnollu ,e.r',lh mal\crr.a,t'is5.^d numtri;$ e^cr$u.i. cs^ gioc uotca.l *. i'{J r*.}to.la pr

  • J'r-t6 thqse

n ] .

  • fu

'icc;ni1'rcl o[ ujrQQ bG ncc€rsru . \r.rruvi qf IrPt,*roL;

rl r li fr .,.P I,iLt(ito..

(t cppord I'o