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-(
Toem e Flx)Fa idd MA, 02010
Ten FC*\/(LD is a Ad isTaduiye
Rann FcE
Suppo sredh, & F E = FL1/(ec)
a a vaa e n t ta
El) (, 3 .
-.
6e)as a ns m in
E F( hag raa&
e) an d -a () oun E tQ =O ta E.
we uia: hits ahell ane d ae(«) ¬ F(]c£(
en lanye p ssi () Tdu ate Cohcass rm
F F(x) isaon sde,4
FCD E FL ) sk o- E F.
Ekap Pm)= at is eceaducsbe ia R
E =R(/20a keld, is a fa4 R** n E
(L-A) ( *L)
wsual ke d ,E ,E Ct
CRCiS(i) = (xt i)r-i)
2
Era-la oen2 (o dynu 2
Cre du cioe pono
On ft
xT« = (xt4) (x*Ltt) oLe
da4(mod 2) 2ats ,d+ In ty
no vas F2 dRes vai adss ,
*,,te. s aoid onfusb
Le eFI«] he nnons to.d paoial. Tu
exiss J& E Con F uoh Naf as faotio E.
wona
Pra Tala ae euck fa p(e) P(x)
E Flpu) is a i , F>F (wle ss dp=1) inFnfi f.
ois a ( p(an a (awt R(a) in E
- l p ()(x-4)8 («) 1
kas Colicirake tn F,
Tu s e F(z) haonon stand poly no naiad xsts
Ranso E Canseiai F suhk Oak Pakas h
ahens in ,
) C(z-d) (x- 42). . (-d)
S
P ucdon on & Rve dy fastors in
Su h =n. RlE, F (ww E and n Cast pr
e() (z- 4,)3(x)
APp In dch sp do dE,1ns6ca lF) ano
LALams
nE, fackons ( c (x4).. (-4)
P (c)= c(7-4) (x-4).. (-)
-4 FEE RKI exfersi on
Fe P(x), FeF[*ea , ncussa fra du che ode had an tan Fas a sußH
FeR
P stuc sR is an a hiian Op un di addban
Can {
F a k as scalas
Dh F-veuon s a Can vecls spaca on F sadue A
(V, +,) ne (V,* an a an na (vehs undlu
aids ,an FxV V (sca lan
ar)a,v) a,v) a
Bra,Le PveV a(Lr) = («L) r
) be P yeV a)v= aVt bv 3) s e Y,we o (Vt u )= aV +as
4) 1:=V ve VN
Exans) Glan ve dony F* , av
a
)Oeden s poa V{o lo.4ha
Ov O VveV (-) V= -V ve V Ax
veke suspae WcV as sud on W(V, t)
weW for a eFw EW
S eV A ulst RVis cale -S s,. SGS,dibred, Va,
a
uon uladars an nes S, exoapt OsrOs,. Os,= S as e l()
bna naba Le maAs B. S w
I). e - (?) )is abtt F
Vis can dina i has B {V
Thn Drson oa ve ckon s(a is ue(-Gnd
Vhe - da mers on has a hite ha si
Al ha c«s {V hale (u Sare cadhai ( prasf /k (ane
R 07 Ovn
V &n V
KAs, Sa esppaialk 0ak au elpenras aad eig meda)
FcFC*)
Pco FCis a vcna ~( hasis , ?,*, ..
awaA Ff*} has a unua
Ke)= at9,1 Br S ", d, a
Fl/es is an F-ve k Spaca ma a a s 31,,.. c
wwwq sueh puerkah-e e
u q
S v; s ma
Can al&
spa >,x,. x*"is a hasis
Car enceda r b Caheleds (,.. - D
Spe ca ca:is ircaduuci ola E F Ry sa A Spe ca
E is a P-veun> paca unorson af m hatis
te u a Re a E=Fl0/tiA), besis i,, ,"}
FcE AS ekrSian E is an ve e n spal
Re -Amonal/F Extensn is cale te
naose n E as F-vee paca i cao u coR extru Son
E leF) oon
Kampks E F CF: FJ edensun ra
si* ),a} Sa tbi,e R R') 2) R CC
3 eR ie exteason (Qis nu, R s un cou da k)
4) QcQLE) aebi l4,ebasis af$] is (t,E).
ta -2
S)FePC»]e F(z)=3 { 9,eF ]t equiv. uakon
FCF(C) hork dra
) h-6Atn) )basis LF -2
P) iy :)-3.
-8 Pr A e SIE has o Pcop
E hos ohana chai s6t p, r Se O P
CE F E isa een s2ca /a
3asis (e..e &E/E
u an e Eas a wa prey-taton ae,ra21 to,f a F P claias B- e<ck . .
For eac po an a> fu e xits a uo p d TLnen
P nA Sonep n , RA
noahlon.
F,F
F no a sueA.&iso
F
eFs, )F wson
EcR Comm&ae w chonsists p
(ahy Z (e)a'L. a'- (f)a*6
Prog Cl,2,.P P Pd, does ne d
2. Pe-1).. Canal at rom
il-). (p-i (p-i--1).. 1
()*o t, ()-o nF il,2,P1
Gul (aeb)a r ,eR as ahowR
P (a-aL
Nok (a.) = (a «) = latt") -a'6. an ke
Ca e)Pa Rr ,bhe R, cR, l xenuE
H pl (),2... -()-op.
s labP= aPLP adhe arabloa
(Aa Cm tadme un G O map aaf r aeR, FcR RR (en Ionenpis is mpusm
kom an o6^d isell) Co robendas e nsnapuisn
Fr( a? Rr: R-R Rr reesks addikon, maltlicsd
Fr()=a OO
Cxenu wonk o f a edon
ta e c8r 07ot p-i a
(Feat 4e (usn) al=a Ya ef (adol O).
it Poroi (zJ= *P-x kas p di'sb'nck taols p. foclos
- x (*-)(x-2).. (x-p-i x- * -2). . (x - (p-0)
PS *-*(x-)(x-3) (x-Mx) P-3 - =z(z-1x-2
-e c(x *r)(* + 4+) (x+ d*t)
FC3
n n) g F F, F s endu qp (F isan Feu pac
FC ae F n F.
-
l exisls a rte exttasun we pcs
focdas in E.
k Fac El at-a'l Sustall k *l-
FeE is a SkRRI,
P s,beFalea, b'- b) laJP=t'art (abaPs iF.
Fa suluns {E
aeF, ato » ()=a" a)-a alef. Fis a sus hA -l F.
F
nE(a. in P aa-)=q Tb e otTF=q ado sla Ot - hes no
eras uss.
A () hasa cepad taot (uulki e « nod)
(-4 () (x-(x-+3te) has a cpea ca, (ns o R o1 C)
'(z)= (x-A() *2(zwg ) (z) ((x-)g'(<)12 g(x)
-s| ?(E).
( s a nuhkr taot
F ()=nT*, ner.
()=q (z)- - (-x,-)=1. ae liskac