LE66E bEt 6KAÀ/)rruU MEKI - unipr.itdirenzo/ModSim/GrandiNumeri.pdf · 4 Ricorde*o i ConC chiave...

7
4 Ricorde*o i ConC chiave ?6 rn qso òvvurffio Jolt. ruU MEKI (ad ou"po E. l/afsJ, T;""ffi1'"b"b'liF, LE66E bEt6KAÀ/)r inna^at"So S?eRnlzn e- VA(I ANZA Richiòmièmo )aT" In bTSUEUAGLIAÀ/ZA J CEBTSEY' @ l4*Tfuiqlrct Htxl - rrrx = J* fftlJ" 1OO "oo btxl = \ = \ (--rn,)'"{(t)Jr -Oo e u,^n q,,r,"tslasi o( >o LnPR06ABtttY^'cheXJcv.Jai{rs{{sSPEAA^/zAHArE}a*rtrx norvtîcno Ji X { LIH(T/+TI do b, A' f^t'th P(rx-rn,.t>;)= t -f(.)a' lx-rhxl>o( @eo b- =-f{*-*")'+(r)Jx =_f l"-n*l"f(,.)rr } [ tl-"'*l'f (*t;* It-ru*l r.( D,.(z f tr-*.t'{(-lr. ) Z 'r',J {al l. = o(z P({x-'"lt"r ) it-mrt:.( llt-thrlz{ e J*qn. J! L r Jt tugnn3lilurzr J' (eby sw Es" P (rx -mxl?, vn*fr. Pgn L,q 6'tu sS [,4't/A J.r Soto t't"nr 3 u-z) < D" :rl LIMITI SUPE((O(F! t'{ t P (tx-m.l>a) q,rcito prob"lbiiilí I ^'' 3'10-3 j l'

Transcript of LE66E bEt 6KAÀ/)rruU MEKI - unipr.itdirenzo/ModSim/GrandiNumeri.pdf · 4 Ricorde*o i ConC chiave...

4

Ricorde*o i ConC chiave ?6 rn qso òvvurffio Jolt.ruU MEKI(ad ou"po E. l/afsJ,

T;""ffi1'"b"b'liF,LE66E bEt 6KAÀ/)r

inna^at"So

S?eRnlzne- VA(I ANZA

Richiòmièmo

)aT"

In bTSUEUAGLIAÀ/ZA J CEBTSEY'@

l4*Tfuiqlrct H txl - rrrx = J* fftlJ"1OO

"oobtxl = \ = \ (--rn,)'"{(t)Jr-Oo

e u,^n q,,r,"tslasi o( >o

LnPR06ABtttY^'cheXJcv.Jai{rs{{sSPEAA^/zAHArE}a*rtrx

norvtîcno Ji X { LIH(T/+TI do b,A'

f^t'th P(rx-rn,.t>;)= t -f(.)a'lx - rhx l>o (

@ e o

b- =-f{*-*")'+(r)Jx =_f l"-n*l"f(,.)rr } [ tl-"'*l'f (*t;*It-ru*l r.(

D,.(z f tr-*.t'{(-lr. ) Z 'r',J {al l. = o(z P({x-'"lt"r )it-mrt:.( llt-thrlz{

e J*qn.

J! L r Jt tugnn3lilurzr J' (eby sw

Es" P (rx -mxl?,

vn*fr. Pgn L,q 6'tu sS [,4't/A

J.r Soto t't"nr

3 u-z) < D":r l

LIMITI SUPE((O(F!

t ' { t

P (tx-m.l>a)

q,rcito prob"lbiiilí I ^'' 3'10-3 jl '

2_

brM,." Atgn"S,tòneÀ t oftre,,nr" i[

Pt,*a Ji latt-0... Sia X-*n VAftr*BILE ALEATOKIA (onL

Eff"ttr^u'notyt PROVT L rcaisfnvmo i *ryb'f X^,X4 "')

(o'n:rdt tvmo ls ['tEbrA AKtTPtETt cn

Fu,vztO,tle Lt/vE/q{É JJt.

TEoRrun J" cE6(sgv(ueeu Jri 6frA^/5t tuot{ERt)

14 [X1=YY1"blxl =D^

X,v- ,

(J)vA Ar A B ir-r til bi PelDr,vrr x;

urV= LZ X,. rYl j=t

Essn í u/ ù

e J*y. [a Sur SPE(AÀ,ZA HATtrr4,4Tic,{ tr-r'tc

nr = t4lvl =(4 t *, {G,) r", ) *u) -s

m",g,. la sqa VA (t {NZA

bt = b[V] =

= *Zl1[xi l = *^*r=^r

(*), ttl,l <l4

fi?. i--,1btXrl = +

Cioc

(*) At{-,,u'a,snt t

b I xtvl?ro,r$" a prt t\ confo ! io'rq,,r..tt chc ad eswuflro

= blxl t btYl + z K*yL> COrAATANZAKut =_[ (r,-'.X1 -nr) fGn)Q

rh: K", = 0 fr VARtA6,t, ,l'b,fErotl/r|

b t ?o. Xol = Z ai' \tx,l, /

hnonts'fo 1"ts Jre'fico "'

f01 = fix\0"Df=1i

tVrt" tnoftrc r,trc (Xt ir,/.fra*fi )

3

?ÉK,vì, SUFFICIEA/TENEfuTE GKA,t,bE

ttEUtR i+fttTt',tErrcR b\ ur/A t/ARtABltE

?ft0 bAb\t-tTA' Atr"n suA SPEftAilZA

J.i PflOvE tCIDrPE,VDerun fr

ALEAToRI* (ol/ERGE utt

MnrrnnItc4

[,r\-

X" (onv, ̂ -zP ( t Xru-o" l c e )io probaLititf r/ a

P ( t*+xi-/'|vr,r \ , sl<: \7rat t

lY t l= f l l x e Dr=*

P (tv-rr l>rr) < -Dr- = D^t" n lz

)

I'{rh Y =

e J*y.

fr ZXi hr

( C.U1 scv )

r r l

c Jurn lut dstr 1,,tet nnx e . F trosro Íornr. il-'- *" ,,

./V,8. T.o J' CEtsvspv GEAEffALtzzATo Y X,' X, "'. X^J^ Sfu.mot. fix, fir" '.' rllxa

. VJMè*zc br . b r . " 'b r ' , V 'b t , 'L i

mc&to sri'tit,,,$.cr (ovrVw3c Oltr mtdat vifrt't$icr "h't{t lvytxù""la

ó

-|RATTAI'4E/VÌ0 "t' bAT-r SPEft t t4ElJIA L I

L.ù _ /

* /WL

O-L

o-e

NaN 5t sTofrTA

EFF{ CE//TE

)tau*,0 clne ttf\crmu# fid{t1o inil-U"tt* o

L V,46,t AÀIZA ), fr s s uvnr J4/Yr o co'wt ( s{,vne

" bobhù//no vivofe " coon un nu,uuro f;ni'tn ù pfovt ',,

D I SY&t bUztQ,VE (*g,.n**th. S?en.. [4/qn (- D'V,{fit,q,uzn )

nostre STUTE Svrs'nno Ytl uztatt{ Jgi' lX; 3'

étrchilvno ú,t^ò S[\MA t (X' , X', "" X' )

<.uvrò STtltA

u/nt SrtflA

(,ùvtr 5f tH'4

ùSuut ò^îno J^' , nao rranialo",lc

e VoGLt Al40 sil ${ ARE

vtca*onra X i ú;4oni osstryc'tl Xr "' X^

i PA8'A rtEtKr J^/,t. ru+ LEGE J,'

b.lt u,rn f ;xa*r ffto

(offftETrA sL (ft ,nnao") (oNV. rn PnOg.rq-*

se L|lttl=q-)H

S,rrore HEll^ n

sc abbi r4/vro i rtYtotr 1X; 3

("0 - ffi)"5=- ) l/ r

i

LM

Llul-4

. , " t - . - - - - r i r , . - - i . , t ;

, ' : . , , , . ; . , , : . , . , , . . , . , ' , . , : , . , 4 . , ' . , : . , . ' , , - . , , , . 1 ' ' . '

#*# ft

: : : r _ :: . . . . ' . . . . : ' ....,, ,:,:.bl

r t ' '- '--' -

tht-* n*"*oou**

e is:Stt& vr+tr l$f tZè.

#'m in{c{r #L l;: ,i ., #*ÀJ Él ,

- -t"t'

'$fiiou fas*:

_ i . : l

l : r - :

: I r : . j . . : : 1 1 : : : . , - i .

t . , ' 1 ' . ' . ' , ' . . t ' '

. r : , i . : r r , : a t l

È " . ' , . : f

l]",'

F**

* b = l'1 [X'J m" r svtè i br 5f1flTr+ , ,

t ,t SSttfl'taÈwtO' , . 1 . . , ' . ' ' ' , . ' , : 1 , , 1 . , , , . , . . , , 1 , , t , , . ' , :

, )* = *+ot,*,? x" ft.ft *t, = #7x:-zrr"frxx;Oea HtX,'l

; nt1'l =b' è.' Hlxrxi]=H1x'*rl=*.'

r'L> #u* &g.1t".i€l{è r*nlh, Si,*nî,'!re *,fic, ggo{.'nt* :

:,.: , :4:

,...f,.,,ì: ' ' i t ,

1': l l ' : , , ,:: : i :,rlr.

"$:::.a.;::t

e d*lq*- ' ' ' i t t l " '

=ilffi"b;*iffi* C-,,ii;

o$' . ^ t , l ' '',b, = #

. , , , ; . ' . , : 1 ; . . . , .

, . - . : : t - t t : _

$,f.,* tzfr;t íoT

| ',: . ' .1

. . , . : ': : " - 1 :

6

ilo* tbbionno rncDrs unu4ao{Stn .[ TEOflEHA LlHtlE CE/Vì-RALE :

gsjo hs d e,. fo. covt lc iq3i J^ J^ tt'1 boao"t* "

Én.uc;;,w,,ovtc- la {ocmo tri,r se,rrvrpl,<g

S. f,nr X., ,,,, X, twro VAfff A$rUt A/"EAIofflE l,t/)iPE,VbEilT,r

sve,u* [-t s1-ess* LE66E 5r bt sT-Rttsuzlo,1/E / s?Eff" M,&T. r1,r (

VAft TANZA T', el,tora

LA LE6úE br blsrtrouz. J*1,t. Sctfin Y^=*,f,

Tf,VUf lÀJbEFrl,rtnHEruTE (f rr+oo) $. lEGe Nof,,úL*rE

No* u n$**1"*o s,.^ l*'itb (f*/**fu{"1 nr.,tiffq 4i s,/ls srdr

(.q", prob$tl.). ?u( n

[ =

ioo*"\s?^a^Ar ewrginc.r (rk n./tq( .,. ) n"t c/jào J,ft E (K0fi, t frEKl HE/r4'u.,

J^ Lu\a |4 t SU ( A : Silt(ovrilyn o d'rL fxr ur,r" rvxiiLÍo ps-ry*o v* f-,' úry;t

rn C,rron , GòStunr Sor3rffe efivndfr Y"ta à" fv dtutwe "h + € o tlt' -e

co,,' $*te gt"bùit'K ?= +, Es" ft\= 4r f olnb,ti ns,{l{./ì' X t e

Jovrwi co i[ ri julbto :'ov.vn.o so.í

X+ yt (,vr-u)e = X"(zv-n)eJ, | >(nr-u1 c,h - a

) / Crx +t

) = Br, y, Q) (, v"ou^so*u' in ,u flroúq@t^ p= +.,.)

0.. ?r"b (! eroa +e

7

0.^ r l -l ly=Y6PU-P)= wrc.ntre {= X * Qv-M)L

èvrí {y-- zaY, = t'{tL

\Iil2-

ft ti,nùe

Otfo rt ne/

rhe ot

fuu so

.J-tn\r,,lcssrí 1ue/,{o J,i trytol+' (n*'eo7 pccok (*>o)

J^

Tnr qu.fo [i,note- 1to]hùrno evr,lfhrìCJrn urf,A l - , - - \

vtdsre cW la

J^f.buac,'',te *wd. .ú uflè 5,èuttlò/nÀJ^ u"ta. m"d^o X

(q,t*trf,. Jsr, X )

x = *+",L ['aor"r. I>t= & =tffi

t[Î \ v(r-,) i

_Ae T" Fbstnz.r J^ ERffoffE SISTEHATI Co a-xr,ra

A-xtn, = I (;x)"*@ffihVrcu r,t* ru quA\(,{Td (4

Ui = Éfm ftss* nc,^ t,vnifi Alicx e e->O