Upload
vanthu
View
212
Download
0
Embed Size (px)
Citation preview
Lecfurt 22.. Po 'I VI + E S+1 yYl a ~.~
To clUj we. siv.-t CV>cr1er r; OVId LV" ~ ,-1- -I+e.. s-fc:.+tS -hcspo,rf bf ~ Co\Jr<) e. 4 - SOv.".,I 1"" - ,YVe..,
I
-l e c..+u-l' t . '10 ( K Ofld.o~ SOW}' ~.s)
#~+ It ~1VfA~ Qccur-S ~~+ W0 ktA-<;l<.J ~ n~eh,'l(~ cllsJvrlh,*kV\ Q)( ~t t,1r -+t-<' vel&. t. . of ct- f,arc~1er
lVi -k-G+ We- hcJ ~ rev I
~,~ Crl-tte) !I
.
llhe- E ltv~ E>(o~~ , , i I
j~-----""- ! ____-l i . :
1
i
I _
I -
lJ (0· 7))
B· 0oi\V-<M~lI\ ~v~k~~ ~ ~.?O v-c~ VJ,-n L d~J : S;o
~ I. ? (D .,,, ~ -ft frt-C ~P""'j-R.os. c
l
I \,l.f;?Co , d \J. I
.):.9 e-~ fJ" fA; ~~ f I 6-~
~~ f:.Xe-fr-,{J.» 'J. G "J e;: 13 --------ii~f~6wtvL ~ ~
If i-4- .f·C· r"jV: c-hAVI )(, tJ 31.
. - J I I
0\1 SGrefe Lv e- I.J '{ II WI/I -h rts
r1"'.(2 oS rX (x I e) +0 (>~r karr'll
i{k+ ,f- 4~5 14. k~wV\(}11' Vir<
fc/lrc/IV~~ e o.-d l+ )( j5
~"vt{(It VJl,v S \,J<:' V l II \V l( l+t d~ ,Jf ~fX(xleJ OjOl~[~
fA')-- tAu-JI'Q 1k ¥~u o~ 8- ,
I~rv~-t'~~~ e. IS .flY/cd v ••J.w-:> r+ IS6 .III
Jvd Jkrf \.VC: ~It-'+ l~\oJ J. 13~ LV e e v-C c- lit:) w-t'J +> if!.n:' lr,~
t. cleo k-hu #\5 W 1# e It I.J ..... Lvw-c dor + ko--....t)~ +I J fc.-, r~ (~t (J +
1 __ 1 _, ~ j ~ k Xu ~ "f_ v,,"" .II---\."\ \11 11'\ •
\\]ow rVfl-~I!~ h<Ff-«CV\O~1v-(>1 uw 4W'<
S a vY--r~ Xl JX"J--'/~~ ~w c 11-<Jt kl 1 X w~ye ~ ~ \net: 'vi', I\'tJ dt ~tr 1 k> \; -1uJ'" U
kMuJ't\ . m e,+ ~ 0'" Ii .. \r~w ll'\
Y<i 'r If\'-\. ~Ie r;vOl" V t!A" l e,; tt VJ e,#
w ,11 G
c ss () ~ X I S Ji S; D~ e k... .
TI~ Idea. crf e<:l H~rt cs+1 vn:- t-i:lV\ 1S
~ Jt"(: ~\) +l~"'"'J v>' c k, .. J G\.a Q
~lA~S5 ~v- e L:l/e$+,~c+I"J6\A) I f\ -kifWJ of X I J )(l-) . # Xt'I ... '. . / rJ
, .
\.J So ik hiJ f V\) bL~
ll~< Ma ,~TVbble'M (VojV( Vf#-fl.U.) 5 . '
Whet -fv~\J~~ 1., (XI) X?T~lX.,) of +k 1~S'xi) J ~ir -'J xVI '''' ~
S 0 ~ r ~ .s ~",}..l tv- c . r1(: k +0 ~_d' 1Vr-~ k
e ~?
Ve+11I' I ~It'\
AII ~ Iv tc-tw"l +.r po h ()I'l/'X?-J:? x ••J Jove
cJ-{)(.} fc- '~ e s+1 w-ck e WI 11 , t.u.
C< ((P J. ' (.) €II . e J, +I "",,('<t1l1F ~ II'" Q ~
-A S -Flrs+ot-t" ~lJ"'+C;SL;:.,--;0,
r '
.!f,;J' h ',k>'Y-d-~: ~VW~~Olorr~ X"r7X2-)~ -[N,:, 'v~ ~~"C ,:,:', ",."..... ',' ,0<)
h (li'lI>(.-F , ~.,....) ::: &- . , .'. t
11,:51$ b~~,\;d':J wo 1Ve.~ kt s ~ ·SQ~e...t+q<'-j el.K..
611k Ma~ ~lN~Le~ (s~~!¥~~t-
'l*5!II ...'"' .... lIO.;eiillil'lll!'~S" l",.lI;QoA ...
I
~eI K-Et-e -CAl ~re0>' · "\ . ....r_~_~
GIve ~ \) e,,-h+c+tv~ ,(// --k.vt~ I .
~ ck_C-{~ w~+f"v' OYle~s+I~f..,¥"-I
1 lrl'W.=="f)(IL)(<-J--yJ~ £..-1 8 IS ht+k~
+hq;~i ~ e::.,p~NJ-~,.;. hL[)(UX'-I~'/XVJ.
·Tk 0 t,dVc-vrV~tQl'\ !) ~\i .~ ~ . 't11w)
Is .>~-,Il;~+ vje~l.
2~ Ol'<lw ~ ~k. ~rJA Uu.
_u~ v..re If-<LHJ +0 o ....s,~ I
rl/1-~;Jof;Vf-~j ~~ )(.)1 "'" _ . odtev<VtrJs . 30 lc-k~eJ>re- . .' .'
(j i'\ (/ G~1'I1 · s ~t... /7' ~f~ ,,, '~ ~ ore"'.Lt.,..,.."',
- -
7. " :. .
, '-----~ X ')( >< , . "'; ,,' '\;t)", ,7..,.1- - / "" I i
, i
',N() v.) , OUY' -f\i~~~'" h i~llt~l'"t.l~ ~ Q v-,;... ~ V C lI"LC> ~ ~ (s ~+u·hc) ..
I ' ' -
;Qx~SC¥\ ,k ... ~ Co>~rri..s rO~ J I~::>
Q~+l.,~<ffulr sr:le-hs-tt.c will cA'_-fe..-. he.. /,,1-;' "", I ~-
'~a~d-td . /t9' .. "
I .
8.I ' !
It- lVc. 0c.v-e Crl ce~ 1 SCI+-f ~ ...
+k~ ..f-e.t Ylvw. ~~ h ('><71) /(~J'.I x-",y i
,<; ~ H~J 1-4. ~~Sl""lrrcf V~ lve.
0+. -+e-c 'eS+'Wc~Jr s1z+Lj·Jt~
.. W:;:· ~ ()({) :(Z-) '.'J X'V\) ft-t."'09'
~ 0 1V--(1 &. ';Q( 1>7;..) "'I' X....· . UI' f' V 1u ,..<' fr-~ .. . ~ .
I +- -to~ IJ. (),(~ ~-kJ f9. .
t<cwcv-k Jh ,erJt~J-J~ J4.+0 ~ t S~\)lJ ~A dU-.lkJ 8 ~d 1~ oh ~ev<lfJ velu c .~
.1
b\r~ 11" ,,~ 1f1(C~ I {Of-,.{ ( b. 1- t ~ t.c a I) . L_ L --' re ~V'~H,\ .. ClJItJ/:r}eK+'
y n blcJrd E.J+/~ ~-futr.r I')_:9. ".', . . . ,-i r
.l10W\ j}\l~lw- ( ~;t¥!::;',,)
b"ld. 0'" eS+,w~r :;' h (~ ! - x)_ I ' ' tv.l J/ . I - '"
, I
,', so#d-· ~ ext, ('c+rci VC ItA e.
,s.-(wJ '0+ ~'e~l~~~r
Sck+{.)4t~ 'W Scf:hsA~J
,t=\++1 rsf '31oM.ce- ~";;xJ ~J'~'+ le. II k. VvtN ck l!.PJu¥ 10 a c j,.,:;cve..
,-ft~' (iii~) b,,~ 1~ ~c+ ,1+ fJ
,SVVrrIJl"311' e.--)jh ccl,qrvc.
. LL ~._ -nA_~ ere,t¢' ''J",cT .' lllU e..OJ'j · (~ "
'~J1.AI ~" ~dhs~ (}(\>c) ,
~0 \,lff',W',14 'HICJ.J;.;y~ C.n :/wto...
12 · .. I
L~-J- J ~.. Ivee_.J 4-,,..,. r> J..rr -:.tJ»~1 , .J~ . ~,J "sqt.,··] ~,J Tle,J
~+ .re 1lsfj. (jeo';;;; a ho,~(?:;, ..
,i I
De.*'t..,,~V\ i\V\ est-I~ ciov- .dc--hsllc
I I
W~ '" (Xu X'~1 --/~) i> 0'" i
()" ttcrJ l-esJ, 1'r~Y' 'of tu. ,
l!Nvtlb~"r~ro~~"" e tP
~~- Erw)~ e~ " r 1
L VI+U.,.f-IVC S ('~) ~"Q~ t~IS. .1 i .
b\J\,f-' we c.c~ ~ir..t.c -tits ~t;{ free'Jc
N!avu.ws. iiM~J' '1'\, r/l\)~c''/I~e,
C~kd"vJ. "",.....r?J} \rctA~-J .. -'(.. . ." .j ;) :
t-)(G( n,~)es "af UJII'b,~s~J_EsfJ"H~1'j "IS"
n~ ~O&+ I~f~~t eS+I~~~~_
t~+s -h~ QVW~ {p~k c+ ,.,. ,.''\.
Pnlo ~j I c"J ~ (f"Su I o.oJ 2J
Fo ci - rhv-"" Q., RcrrlfJ vII IYCI' J.o VOv'"lobl. )('\.1 8;~ (IJp)
(.vc: ~-~~ E- (Xl : F" o"J ~~l:~~ ~~:~c~r~Jv~~~
I Er'X) =,\.
R-~rlvJlJ' ~ IJ' c ~j . /7 Sr~t~ dc>lh--i-4", ~ *!J ~
VrLc~4ur, w ~+ ~ V"~Vl:Jl Vj
cAl0tvf~v~" ~.
~e-c)IfM ( -.n e... sClI'Y-y/e l'11 e.-e.A )( I S a",
U vd? I oJCd es+' tM ",1uV-- of ~
fc:> fIA \ck.... Yrtect" r 3 +-h~+- 105
.1 E(X)~I
11-u~~ -rk rwuf I~ s~ slMr4. ~ cA..(>~l/t{~:) S""11 ~. ~. c C'-' w.. ~\?... ~..--ew- \J; _ So 1VIr--~ r +?: ,,+ .
E(X) =E ( X,l"±,~_+.! ?) )
" V\'/\
. / , .
• >
. \ . \ i (
- .". ,", --.. . , 'f
I==- ...LVI ( E, ( )( fJ +- -+EC)(~ /8 . I I
'v+ E(X,) = E(X'~J =.- - ~ Ef; ~)~t1!
• .!
, I I - \/ \ - . .b ('iCc use a 1 +k- A.." s c ye..
! " • i .,
S Gwrbs fvo~ 'it}, ~f ~ 1c~~ Ja '.
~ ~1C1ve-- ~I Iso~ ~S1v-~b~~V) O\~ # l'U)f It-- lc ~r"\ r-o ,'
E (X )-:- J(I\ Cr-rr +-- +r) i ---../--..-..J i~
'0
- (;;v- iI--e.. rh~~~ of- es-hfrJ~I. I / 9 P \~ Bl",Cl j p)we... JI-Ove.J
i II .
x:::... h v ~ 6~I")oF-- .ob J.I&y IF( <i :s t,C-NJ'I1'.). . ./
S'VY? ~ e/c;;~'\~. C:I+ X';J)vl.-j--/~, , /
lJ et~ I' ~V-- Of S-o
Ih v.s. ~-X, is: ~ IIClOm l'MJ"JU!t-V\~if~Mct"5 +k rt:,~k .~ w- ~~,." ~-f" o_J'~V'\,d
I
AY1Exa~pl~ k1/htyt; ~ 20
1(~mroM Se~It"E... s+'jHlct~rl.s. ElQt4'd, I I" ...
0)'[ eXGWlrl.e o+-4t.~l:" fh. / - I
1trJ· . . + r L
1 '»)\_I a" J£,vY\ Ott ; u~~ j e ." It-J "_"j11~;r
. (i" rer---,' ~ t~ .- ~
I. - 'I
R~()~_ Ve.'~ Sf~,_)otr pw LJ ~ o C cuvJ l~ Exc.... r~ 3 - eS+f"","~ ..
f7 I 8· 1_D III c~orl"J (; Y~d-U~ rl\l"" ~
22
-eS+/~e~... IW=~~X' (~I)Prz-r-;; ~..)
l.s . 'b ·10.1e. cL ..
E(Y1C)O()(IJ .. J X'~. )) <' [3.: =1=
I I
A~oz/'"j(~ }rf fj~>Ai k rOjt 250 p£A.l~ ~ '3 ~ ca 'I ~ tv.'II r~(. _~,~.~ ~~ ~ ~vJ_~ ..!Y' v cJ,... rf- .. ~~~ £.~~~: .. W-C~ •.-nCA)VC(p\' . .
E (Mox> (X, )Yi) "JX-l".!J ~ n 13 . . ., .. Y\.41
- .
r'1U'1IV11uV11 VanollQ. UrJ;IQHc1 23 .E.S.+/~c-h ....s'
We, have Ise€'n+h c+ X-ond )(1 Q~ Vl'\biQsd es.fII"M~<1odO+-~
po \' <A \ c-k. '" _ ~CI\ • C~ "" t1'-O 11 ~ (J.,.,<Ie...
\ ~\\ . _II t. ~V-,,· 't -t.
~ l..S V S 11'~:r 1'\ r;s ." IV A.#'
•
ltv k+ ~ <Z--t-tc,.,.chC<;olcv,-\evc<:\V\
~erc-k.J --\-kwt, ... W(?;· kcve...
~-. .... '\.. ----- - r\' '2-_ pal'" t9~""X· ... -. . ll-u-~ , ~VC V-cvtO~C~
V(x)~~· ~ 0- Vex) IJ ~ Wf.!~clfw~ V(X,J. ·
,LVe- w"//fe~'/~W. w.lj. -Htu :24IS. ~ (.J ~ c:l . . Pin-+ we. s -k k
] ~ .Pr,~c~/e ~-!- M.(w~.!.·r:-~_ \La Y I ~1I ~ Uh b1 e-JI' d t::sflJ1'14 ¢~i1
A ~Q~~c)l eM-/ f')\ <7' +o~ rl- e-M are UI'l b'Gl'tc1 ..) ck<JoJ-e.. ClK~
-I-t e,f h~~J Y>1 i '" i·~ fJ H/t V c:. r'; 0' A (" <2.... •
771t. ~J ... I +l~ ~ s +1 Yl' c~"; ·,s
cc tCe c1 () Y}1 j r ,~ WI v 14"\ VO V l elf <::...Q,....-
Un /J/CJtJ eJ+II""'cJ.vr.;; NVUf;.
.~5.· f
-
a Y'Yl; Yl i Y7' v YI1 V" Y l 0 44 ~--(!..,.X IS
U n bI (,I Je d es +,#1c~r'" .-hv-+k . i
f¥oh/~J d I
1_ .Es +,;¥ccfl'.j F 14 B,II' (I/f)
d- Ed'/VIah"'j l' ~,,--N(r/<s?j .1
~Wir3 Ist+ ~ ,,~.J .. '. L
. /411 11 ' J1A/~ .fA.- -! va v { 0 I" <:::L ?
\ "".
(::\ .' .' ,dGSu fto+ e~: h (Xh x.!.) <-~;y;) is a..,h e $ +U'''''--<Z +-., y s-1217sJ,c -- t{;I/'
011 1/011 ~W;' Jtcnrc lVte iev- &.
·' ·.4 e ~.t1:"f ,', ~~ ZO"D f
The-~<z--c"'l sruorc J eyyOV'
M S E (13) of -1-4. ~:5+IcA-~+a~
~ __ I~ k-h«J ~ . . -. IA . .. (f~ e~) 2.--- --
Ms E (/e)::: E (8 j
I
rSQ : MSE (§) 15 ~ ;)7I'
,I SQuared e,yor (r(v :.J fj)""..".",r2-
J
".1 . ,'1 1'\1) -./'X'J - ", .'r I .
~ {' .1& .e c;.+IIMc'";,
-Ie o-f- \7,/j'.' ~~l 1 (....c.'"\"'~J--,,r-
Ll::.,.:: .. yo ).n • L J ~ ,
---'
. Cf (r(7yt;jQ.d Olftir ~tJ '></;) x~)"., ~'.
o hVUlvS 6:J "V.~ fAJ a",,+ . ..J.o WI ~fI\ ,,,,,,, I'-t. .
-/J.. u s;.~ v 0 rt J erl'Ov-• /-/erc t.J 1te
r/~f
Th (VZ\ r:IV' I.if .1! IS ulJ1 h,oSf.J ~
-H SEfe)==Vr(J)
. - .. ..' 'I'·
R'J ~ rle/'ft f~'" ~f! 'fits t.:ri "'~''>, . l;((j ') . r::::J
"'+. .' I
.
l-k,r:c IS o,,! i~rr--k.-}- cle.fl""(~'" ~JtJ . a .1r.rJ ,.., ~~. ..
Vef,~; rlt.,;¥t ( -k-4 l~<2- 23?)
~. sAt,"'cUvdevnu 6f f4 eJfI ~J.(/"'
..6' .). f)~~J.· ~(i" Ij {Vf§)··· 7-+lf~JA- J~vh:lsq {J 1"'1c
-fvW?} ,S ~ fCJQ ~3 g