a _
Begatmank o& Mechanics | Sytem Expres
; Moubalio Vafame Belews Unwery Rauch;
Leche Aisles om MIE S21
Akvarek Conksl 4 Lobwher (& units)
Comvse Contank
t- Re y'803 om oe fom (kent Aeebva
Rihererhel eaua trom s i we
be Gowentoned ntl (stable by. Root lava, Mygush
Cakerm an bode plsts.
wm shake sae emegts (wees be be corel nal
pram Moms, Matern algebrr anek lrg calls
i angen incbe-s, Quackalne Rom, SeGnribsness of
mebrers, Cort sWbabll hy OSsavahln, L HE pened shwTk
shak eshebo , pve Placemark, io poreide.
Discrebywhon Te Con bau Syskms. Z- bans fem)
a NP linen Systems (Qescriny Bachmns. phase Porbash)
5 - Intell. yenk Syshera(Meus~ Mary ants)
b- System IRenheahon ark Adaphne corks
ae. Inksdaclan te Robust cont S\ (Paramehore Uncen torah)
@ |\nkoduchon & Lodohes.7 ©
‘o Rheaahel egyahins
Consider @ sqyat malrw fads hes associates
Wah uk a aumbe colled Er Qeferminand TRA
ee Ais am- saga le, ofla wise A hq
Singular melo
Trample:
“h 4 _ IAL = ata = ft fa} Slate
TS % ‘ sae
Beeeuse JAY O. Ais toimpules
lank o& @ maki
The rant shar Aym mater A ic Be oe xt tte
lar asc sauce NOT =Sinqlae gub-mabroc. Ikot i.
is AN-7Ferd -
laced ank-maberr nose Rekermmark |
\& n=m, so ma boy A vhtel® a squats [Een Wad
Submatra coid be tte man A vAselE
Taamgle.
ead Le vante eR RL mated A f 45
we see thek i 2 :
lA\=0
tae ase Pian van Hd. sein AY T° ntheNw aa a 3nd maken o& ode 2
& =
’ |e Fo
[lz one fia rank oF A 2.
ln solu a sek o& Simttareors equcbms we cm
apres the equehos 2 mabe Prin.
Trample:
1, + 4,Ar FF %y * by
AW PH AyaWM, + MQM = by
Agyhy FA, M, HAgHI> OS
can be wrilla as
gh hae 1 Sia (pee
few Gar sila} = by
Oy aye Gay Vou es
Axnzbk
(Be set ot Kee equaims fs sar bo be Crsitenk
IG solhons for 2 An and Xs Cant, and mcomsntnt *
th pp solutes con be Broek.
ty Prache. we Can solve the aquabros by opeahny ;
om the angptcd co RB rank madre
Py =o re 6,
BT Wear Gey das’ bad
y
» Os ay by
Ita great tet of arin i Ra,
3
h see Rn Simnlbaneos Rauch BoA unkntws QWh, YL
Boraitink \S te rank o& A is wel fo the ade
oe Ne
VS tte vank of AZAg. ba th evabo. ok,
ineeasiherk ond lene ao Soltious -
Laamfle:
ENG) -@)
Az 4 a fi S18
CG a ae +)
Rak A = A “| 76-8 =8 vo rank Ke |
have Ay = Ie ¢|>0
; s|F |. tank oe ALE
tok A Ay
ths, iyeliey thal no Solbor Bursts .
Un igneness 6 “DoS
pe SOUR, a Sek eR | A Revubors kon Un tno | tRe “s
a danger solnbs Ub :
yak & seo Ay >
a VG cane As mye hig 2, Vere mon. Ee Be nce,
A is Sale, on (Ree wih bear whale numbe of
rey Peer, id yu
ae leCramgle’.
eG
rank Az |
ane Ay ®!
In thas Case, Coe iy an Finck mamhe & Ssolbos
Locannelt a
Solwe
BW, + VH=es =
Qo, ~ Wr + Py = 10
~ 3a, 4e, FS
mu,
sk
% a ai \ (me 4 by Dee 2
a aN BPH = 10 Az a
igs he Bs 1-3 ~4
> (e Bisset nice aA
(:\ aus Wt
Tae Paes 2. 35
to 3
ayn OE
adyowk AFC A *| — 5 i > 1D
mw
ay Aus Was | A> Js
Ay An Ass I ae 10
Ass [a <1
a
=©
‘
C20 - a E: Ss
. o~0 4 E: - 7¥
, Sos-e ~5 ee. =
Wee akse’: , fou, @ Note: If you tnutkyh
wl oso -0 ~« the maa by ibe
Ua Bowk
oat Wee ae
be Gort efemente ea
Se a oh in WB
iy 2 i -y °)
es Tl
Wes, te sh, Bae |
Pe fRe poytis cha mA A
Non -Syrqale- S torle ¢
A ts vwehble KR nok vel,
Tae eglumns at ndigandank Alumns cbepandat
Low 4 ees Lows. depenclank
Dekemmank i'Sero Detemnank yer
Ax =0 has ore silnhos x0 Axz0 bes bate silvbins
Arnab hos ore satebes 2A"G Arch las no SOIR
barley na
& has can Prvols
Ahas 9 (omrngre) pres
A has cork lq
DB bas Bull cant C29
AM aijenvalves are IW Zero ty ay sieves aA
Rati zyprehi posh vA oy sonifRole
efDile-arhel Tqveho-s ®©
DPkeehes eyebons are use fo desorte don Hits
Proven and Suskes motrin, while Maker equebi
Reseribr Recrehe laine o wee ak mask
a Z Ay +4 — Roe arhet equchon
yb bn do Atee he ~ Mahon eguchon
Geasvdle, hy RAK egvche gen below
Die. : ee
3 oo Eas YO" [Pode
Ay 20
.
a = ts eke) s\ve. 2
a > ae Aa athe y= 4b Fe
ian enemy R Reavhad sevoho~ ae Ay FRE), ow
WS ee ie art Yat One Parherle, solvbr,
ak all barmog.eneorn soluhos-
Lh 2 Sines an Cosmes ae an ateh~r)
Gres anh ecm)
HO. 1 & bro (2 stele Hered on)
Up = impale Ca sullen, shock)
Bx solkh 4 (Dis Re pm fp tne mnprhs
ts sole? by dee c
RI = Rrporenhel 81 SBluho fp LeReevhel euabyins
x - aot - bx +5 qe [somes :
4 = 28 -ah asa ee
2 WAY ey “2 AL sate
de ao
yo Sze 9 hs ke
Spe Abed eae el forherky SoA quis that
ae Yes ten 720
oe KO
(eta = tee
4> “YO
Serpe gree AiPReerrt & eho s
am ke, te AGS a
ak @ O24 ee Leg ab and c art emstank
ae a wrthainh ond PGC) 45
F quer Renchn of 20.
les Fag =0
Be ache beimes
ak ro Ley 20
oe ee@).
led oar yev Cu on vat bmchous of X) be tee
\F 3
solvbors of He eqebo
fae a og beu =0 and “ae + Ge kev 20
AMA the two Ines Waelle, we qk
ofa ray +b Ger Be) clu) =o
ie a Ze Ww) = ie 4 and + (a tv) = ge +i,
Con be wrk
of Gari) b ba (urn b-eluty) =p
RA me ope eget th 4 alae! by (as
re |t ac ant y=Vv ove solabes oF fhe aah
ade 2
Rt br Sy 20 aly yzulyBilfearbel Couebdns: -
Mov abyneA Treanble: Newtoys Inach eating
Jane
Yet
suey
| ere
felt)
Nesters tae o& canbe skate Tak th vate
cooly oR Gee pogarteat cb theene Ko
Ws deme and Be deme oe Te aavrronmank (ambrenk
8)
(ck £= heme ahepse€ Geew-8)
Heme & bee (¢)
Qo Fe oR Wed ak te sherk (k=0)
Ox Sur Ry tempevehanne
Qake ok exh =< ab
dae
Jame Lk &Rrance = © ~Os
ae & (0-64) = 29. (0-6)
ae
Weis PURINE eGashank (Calis sevk Gecaue
P Ge §
i is posi Be hos
tee Se 00 :
p= Bo 4=0 oe be meget. nen
t mdeyerderk voralhe © docrrass wrk bX:
p= Baprlert vareile
dibs aun ah E20 neaes iG hed anh
Er sdb hHS bP = Oe + (O-BD aHCenevah solo of AQ Kel Reuabons ®
Oem ke, ache” ; ”
Bese AY AO eine 42 Ke™
Ae
ay. ay (pet Rak wt heme afmncte the
Aw airklvang, aed)
@
Whe A awsyon + GSA dre
ay = tA SAKE ¥ BGs He
oe
1
a = -TAcosdr ~FSs~ Br
he
a»
a
& 4 = Acoskh ant Bork 22
a = TAsAban brbashpe
ay
Fe = AAcosLam + 449520
Ae
a
cs
wes = Cnn) a ak bee amntent
kteeake Wnt i Fnck 4 jeu sp lwo fr y
a =) tA
1, = Pare= yaheacah’y A Seek berw CY
ya a(e 2) pA ts
© Ay aw
aw
r ake
ae (as C Vanes wt gek LiRak ssl.)
1% Noche depen one AHL we eas ball
Foe unique sols
Yee ank m0
ok qe , [En Bisel pe cca
the Sear’ solu qex ah ad
© EAB anger stloho ot te abit Re-evhol
nape ous er Bi sabshes 40 =+
Ye tae felipe? “SD Ey
429883
O solw ah J aGx srbek to @ Y4(t2 fy ies
ae” w yO Oss
‘ o ce) yl =2 44) =| ake
re oh - ms :
al ha he ek wry oh OF
eee An+6
\mngrosing ALL an ihons@Ys2 ark +M=.3 ° _
4 +
Pe ee, ao b= P bOrG
bo
ank ck derh he [rAt&E 1eAtL
2>BiatA
\kK sh A=O
4 29 kL
Xb yin 4am eD
© Roa) Re eee,, ae {Wot
ae
sinew by Lagat eA, Pry RO, we gor
Tn
Ay. uA
ae
ws Ike KR zl oan e& ssl, is th, caw V3
yee ease
clasts bh Reread guahons
Ve ODE is amy eleko better 9 Bachorn oh 4 Suh |
yank. aad \ws Aewahn, |
de Orda she Rete eye TA blak Ba,
BX te amy.
ne A Rei aps i bree FRG Repinrdent
Narrade anak ib wher ger BOER Ry pow
aad, on Yh fears, ont ne facktll soutien Be dafindinh- Olle examples of Reh epohone
WA boty Fee Veely wneke oh
as 2 6 te hey
ak gz Rotors Fallen 3 fee £
oa i :
hae FiReE
B- Shin a mass oseclaes ak te anl Aa seiny ands
eye ba ce resshane Proguhmal fh the -
ies dover wa heis
¢ frre to whet the by a
— ot denvakrnn is raise? 2
ee rede yin 0
) \a am a Vac! cases, ak iceman) os
Argenkank VEER Be Meas et ee ial ore
fe alaboshe Gehueen o yariadas eeely (Dave
Asarrfink hector ark. (6 Be vale, a tH
rm at
fs calle? an OrPnan4 ad Pieranhed epaha,
ale bya Rervabvr. te te ede Stk ke
fe soluhor O-DE vefees fo 1 akinaabor th \
ewes oS ite evoke , leanry oly ite Xshe Ale x4_ a © @.
Tramples. Raneval Soluhdrs ‘ faa
ww wore -Gdy= aC
a pace 5
,* wkepab, ie he ~ : By i
uy (as Hoyo a
g. i “Gx. way a fy
= SOL. whence he, ze AK, eAnts : at
Generetly ageekiny, fe sul hor o& om ODE of Oke n
volves A achivary esrvtanke -
\n Poser fastens , Shes ae usually aqure? te
sas hy Osean speahe ankhow — AK, type af slob
Ve calle a farhenla salu panel IK endibns
satin oo collel brnday Corctibas of wath Corchbs,
Dame.
te pntrel soln of Shen ie se tA 7
Aste Sie CmBbr? que es a ln 120
Azt
a. ‘ya +1
Fo seem ole syclemo, +wo bounelan Betis: 6.
ragaved-
BMY iy when =e yet at
Soa =!
Pale= @
7 sy gu Te O-D-E
qlee ae For CD) Man yee ok ON Re IF Degas
ObheE
He Varable seperqhle Drscusse Uncle
is om oreneos & Recoanhoe
s- Linger & Technique of Salhoy
He Paeack o he pleatons
te Vasrables sagevedle
Decanter’. Since dD Es of tle Fisk rhe onel
Rogar egnhain a. fo He Frist pore ony ey can be
rvkka o> a 2£G4)
Bo Mane eases Ce p many be umibla as
FOE) = £OD 40
wsbee LGD mk g(4) ae Prchoe FH why ele
Megackul,.
yee man en sageete ee variably nl soql
ay
See 2 &
sp foo an
€
1 cae ET eames te A ea kT Be Foe
ond segergh Fe Varvahles
Jas o8403 7 Gh = GE 0deees" went, 2 #4 2 ate
ae 4 By cere
tr) Ry = eee
y- \ ah) 4 2 it = >
. am \ ey “
fies - ay Fes = mk sagen de
w
ay
of aq sO -O4y =O ytd + eB Also
s™ 4] ae
S- Se eae Fes assy =2 DSL ay +e Ae
G53 Ph
(ee D) x * Gay +8599 @O- Sy st seperate
tayGoOd erg vie
zlitxe 2)
Tecbuque
Yo combed. ( solnhow ot ths Spe & equabe, simdly
ankeoe ake Wee seperakek 4esnk .
eas" Jeo dnb Ay
gets
vege a
Yorewe , sree on One Corstank yb aoe d, Ai anne
whl An yw 9 nee costent A oA EA,
0°
Wheapab
! = KEG & js aostant
2(a—0)”
Now bn tee Bak tay tostanvt & by ayy IR
ibe ent ek te Concentvahsr cecredes 2C 18 Jerod
ax 4=0 :
From ee (ar henleae sdlkto- the Okfarne ef Ga? (E.
Sonera bn (4-20) -
Usry % 20 ak t20 gives
see ub te
@
Vitae
Toample Le
core ha tee cot belo Fink TH crenrk i at tite bx
ashe elosi-g Re eek
+ as 2 Lge riR=E,
snhect Ww tke mihel enti
= Sd F>0 :* Sagerahing te variables
FRE > Lai.
&, -uh
which pels
t= log (E0®) + Flog A
ChE acbdan, condtank bas been choses a te
fom ot logeh Fr algebeare Gonvenvenced)
ype te Tarhad Condiihons an Five t fom Te
1esuk -
2 E.R
% Ee E a
qecq. t+ Bee A)
2- Homo qereoss
Mop is Sard to ke a hamoyaneovs Sancho of Pep rstin
(ad 1S Be sum of tee prowess of & ody Wate, Perms
rt M 4s (9)
emample’. we wy aS + ay i haomoyertoty of Aegree 3
ww xt Beye is homoqertors a Reger 4
Wea Beck oe DE) is arte 4B th ben
ay 2 MOEy)
an N Oey)
wstet Mand a) ave homoyintots Rimmehors o® [ER sone
dorer tha Le ewabn iosadw ke Lamnogureaus -&4 4s oJ ie is homagentovs 2
Toumeles
vote of va DE ave homagensons’,
> a ve
1. r+ Wg = ay — hornogentovs
v =p eae = 4 (ort » — Kormoqertot
%. (ee a
@ “pats ey ) Nok hanoqaneove
ae a a: a
- 7 “af — homoqentonts
S = & 4 Ge typ) — yor hormoqereos (Gretito
bub ave fot of (Ee
w(x +345) Sa denree
6- ay S 4 (eta) ok hs path
The XOmwry) ae
Techngne
ed the aque pe “ae ED sat. ty abt Aha
homasparavs of Regie awe may Runcle far Sy oc and
een eo LHS as @ oe oa oe syle vanably v,
pee a
Fo trample,
tow, ke ek ee ek oy
Be a yt 4)
FA = a ee 5 wks CoS
2. mie@
EL canfles aboe sipect The ee TE Fe sulshhvtop
po tm ev a TE Sendbeet oBhant HH estoy
b-Es
Vence ae + dE vane subohvhy (he oS fhe DE,
4 wo sae Athegk) fhe cesth ot ¢ alle B-E AS reR
vanabl, yard wm ca, & seperate.
Peg Bite Be. you can thes invkagwale Be (sors
celeb Ke y af 2 jan’ Bandy, replace é 4 t.
Caearnple”. é
1 Ge as >») ee Lecomes vtndy , _v
or a “ che yt
es Rie vt %
ve ae Av
ee ia ee ao
wy whieh vi and 9 an seperadle -
sagerke Re Varhles | nreswahe ak ged Whke wvb
pila‘ te aeeret solybons -
fie”
’ lagoe 2 am a Toy A
Hence loge 4 “ae
frame 2:
oF “ag ee BS beau v4 ade .v(sv4)
OE ISH) ” 148Compleke ER sol-hen as abowe @,
Be. 1+ bv" ay
2 s. oy, ks
aay < pURb sabe Ps tet)
mm wW(I-V)
Srachens
= a * fav
Wnkeacalieiencl . chee) sam blll vais
magic pled
loge = lo qv fs
(ot - PY = Any
bara, WE
eq beeuaga ke ule AT ee SL +P, = Q whew
Park Q ae bachoas CR % Orly, the ewehs & sal
en ie ed Mae dl 3 wer
ee daze of Ah Sek oda s gt ak y
(nea -
Creaméble:
“i ay tdyekm = se 6 Ina ail Pe 2 cabo Q-0x
an
+e wdy -Syr uot mony be mathe as
&y BM ee WE ere ni gaa “Ndllaas, Loa P: 4
on se *
ce2
Bas sqrehen cod bo salt by Breck herebe 1f
ak, > ya vanshed since he euch eoll fhe edie
td
ep 2u4Q
Yeme we impo He cmon
oP, 4 £6
be de aa .
Saw 40 ak accept as q Swab
teers @ Vanek sagerakl, D-E HU adn
solu te obler U.
Bas Pov
a ae [Paton :
ue gem TLe bench ts ceReved fo as th ckpating
Sako
Wo sve Linen, bE
1. Wd Fe Revahon shen Rea Bown at Py 26
t Lona [Pdr ont ritalin redeachy fake Us
Ce acbiheay cowed ( inbediced ah tes Seye)
a Mal fy He wok iS Up by wank eet ek
ragdk bo + Gay) =uQq
a Whecak fe condlee fee sildba as uy=(uddr 44
a Pol. Beads we ab. ilo aqvabos a re DQ.
\- Fa = Dy a SS oh Mitten, ul Peet, Qt
maby 5% oy = Homans
“oc "
\
“sin wt Pe, 182,
a. Ay ge : * Wage) Vinita a Agee ere
?
a
Lad Seta tens Av = secy Aen Bay 20 a Vacate sapere
So 2 EY Ite SL Pe B21, boy hommes
ae ou
6G2 pds syt livets Gat Pe gh J o ot ~ alli,
vanait, rapenble:
Tecdmrqgnre
otu®
qe gitane of the Se By aoRy sugyeats the Pan
aWaba tha podick ovate gy -
Vo gota a, proaad we orb (ly FR tuabsr Thawte
by a feb o& wm. (Usp te be & edi yaa
BE ete
udy b ay =uQ
SER may ke nln oe
£ + GR, - aga) = 48Draméle.
S\we wy i Des a
. ae
ss.
ZS Shen da QR Bo me
barnes mee Rs bem Gok
ay rey =
— oo. 2 ee
ie \ Pan = 2104¢% 2 tog oe
Fin Fe Integehy Sade Gg) ue EMS es ot
We malhAy ae shore Foam euahior by uw ane
Tutt ek I LAS bane, 2 (ty)
Pal comflke the solvbo. by whespaliy
ao y9My t we
inkeapakyy , oy = fat kn +A
eh = e =4 K
ren Eee =
cxak NE
Fe Led ok DE
POR Q ar r QeyAy =0
jesark ple enact ib a Banchon uu) ody suck, (Rok
da = Poy QeyVS sud a Racker unk Be euahos become, ie
BOR Gs 342 sean HR bed by caticte # RB
content -
Fo eoamils come, te D-E
Sot yrdoe andy dy 20
vapecha, Ps eas ke olen Qs
du = AGE) 20
dtl soli hioe ot yt eA
Sacs 04 > Qo de ee dy
compan oe ip and ov = Q
ay
ter not (kak
Du OU =
sh atten
oP ~ 9d
o ‘Or
hs & BA coho Fo Pin rQay bp be om Got
ASREeahaA
Kye,
in tk Rguehor
Cit Py Fy bn +O ty raat) dy 20‘Stahl
A sudem is steale If \ts “tapon 2
pbs by he ap ghecho FE og bonded pak exert
IE ke ombent aggrenctis inhadt value §> SeReae tly les.
here te oe is unshekle .
hm LT ee & stakle Uh
As the sshem ta excted bya braked nek. Ke oho ig
alos bsunded (Bie0>
gly te absence ©F an ing, JEL otek fen forse-cf
yes Chapple ahd)
Car Wor
a Fo te the ee. Al comPRelyikene HL, Sane ne
bees ee. Ag, masse teres
check be she
ye pg 6st Hs H1=0
ge Cannat be made to nerare
! t =i bape “4 y
at ai 8G Breas.
as + 23) pit Bee pee i fe
Soy t & 2-4 |y | )2o5 & yr af =!
£5 syier wo shat.
xy1
|
2 ostigsds Syasea ro
i
Cia be & Bee =) Fd th sik
& % % : oh | 2 5 Ci) la a.)
2 &
a ap OE bp = bby Bl 24 Deft “oa
- Nem | Sat re
es > Sos wy Uno’ - Fes =p oh
ate ream
awe te Vie ER WP
She agen lore KGa Parchr of aushy faecdactt 4A :
¥ i Anes
ae a aieR fash i‘
Stony * A te hk otk so thee ont
lose syslen we abso ada AeXe
%
an an
sUito-4pG to-ass)
Ke een,
sCito-4s)Clto-2s 3) te <0
Bee, Bes
Root lous
Pace lows 1 a avafh
yehe 2p ak plotle® ie s- plone Be RA eak va
a geval the lun o& Te voots gt BR Khe on
re gavardky (er > vaned Pre Wee al % celled &
veoh lows
WS. @Ws
Ts 1+ ao
manele, (2 iL ep hy auilly =o \Guytel =
Phe sql LGwWns EISGEH) betuaar-
rend pothect’ a Gk wots ot FE
ea oh
whyor:
For tLe Goroere? path transha Rinchor oP a unchy ferDock
Aen is qe ete, bh wot
Paine Grim kph cB, SPE fs
Wows Red Vored Gan ye fo inBahy.
sole
Pole, = S=0, ~4-5
fo TH (Plas P 2%
m yew LTO
Rost Ines emit Lehreern sid an s2-4
s.No sk vt loci (n= %
Contr d o& asmngivte -
T,> Sum at poles = sum oF yest 2 (9-4-5) - (0)
A no. & PTL, - a0 st yes So 8
Progle oF the a symptistes
dz 1 (2+) — Gor ed. 30d J
aan
ia pont
e =o
"cGy
Ke -S>-4$ _20s
fe = -Bs*_[gs-20 20
S,= —LeRs ,S, 2-4-5245
4
Imaanar amr CASs
over
te Xhes RQ, gh 4as oO HK sd
Se a puvatlary Raga Avy = sh Fe
a kK a
: 4 i. qs*4 K=0
2 ta qs* Heozo
ee
Se xj\tethad
Nyquist Stith Crile
excite. eure We . ‘Se
Bs 14 4@y Hts,
TEX Khe Ruchs cas be ottancd by tpek) He Anche
nocd to Yeo
oe yhe @y is UH GoHiss =0
Goths b Fe love tarshy fincha, Lis , Shee lee fa
bnchn evs -yros of Lis,
Lowe xh tenckn. piles plan of Lib
clot loog Kf Kendo poles: Poles of HOHE,
Bene FE Gay \ costa of the Khe epn
Fo~ sey a tee tphen, we hawe ata dy shi inl
Derth-Herrery ark ek lows
Now we shay Nauet skebtuy cen - Nojjuct stb
ertere~ is based te Prergle oF ae queeat Gs Grace
a ar quarts ts reheated to th toy xz mere -
Date
annul a Ringo~ Dus; *= oe + :
ea pork A Te s+ glen Gan Be ma ypged ty locoh~} t&
voles oF U and vy Se fH yete velue of s- Lek
~
oo by Be
Msp = SON) = (aty#) FEE -H tylb
pe“Ba gpiny PR Clore Confoe | Revel FH Aqurent .
| Gn da [Ee XKe 2p
» 1 Gasifiy © BARD Ay - -
i > 15 Seo ae tod
lee 4,00 - -- Gre pe by ba ~- - ave Prles. leb's be
Comflen. Varied. sz otys, en Dis OU ely Le tomer
De = US bys
Now Poose a closed pot ‘€ acbbeUh
wy Vv
p Me
s- flare He flere
o o
Ee conkow (Ce Ss -flene ie mag ged ons te Buy flere
> confor 1
Now comme a condre (Ch se plene Ths tanks rer
nade Wes an jews, ten Fe conte [Lt Du, flew
aang de end Wee! espe oe HE fomh wk Rnd. Ve
node rege Be. tans C Abs act heme a4 Pole
age «Vb we Yace te conten Clin chorbesse Rech,
fren Rene ego wl be on A nahh a fe oboe.
aban Be fone hs Om 1S Diy flare sid arte
nettle. has aw te Pont ok safety shot alr be be
a bk D8 Re nko 7
ye te tov | e ct in a ers bat not Pres tho. FR
pow Basis Wr Fabe fhe lode ZL Disy = Ga thx
y@\> ecteel wns |
| Is-b A s-4ol - -- Bisse ikWe ass Ahh Bs Ke GRIDS foneg clbie rcontou MEE
Hoge choutesin AEE (IF any pont pth
cure 'C on choutune Meecha, at rehin be tte chet font
\an hel prasr wl gener, ex anyle -2.)
Sinilaly WF te conknae'C anewdler (2 yer 5 Hoe we
Drzabow, an te conto Disp flaw aaedlas, Ra, oe
DW fla Thin 6 choubamre decor.
G o-
es eros art = s ‘
nrnedk byeonien te? AT geese Be
Conn Rey anv. Gre when @ file Ts tnereleD the
Conhor CPS cline RGR thes th sryle will te
Leb. flay 3b, will abso jrrecte an aye =f Fi
fn BIE Masacab’ je nek gore Darge . Ter 2
PeeeSre tk means hak Fe Conbos 'C? enecde, Ponumke ot
(Slee CW Bree tan Th errr con 11 anu
gnurcde te oye Pitas (H counte Clewkony,, Rae
Now VR cont ‘Co anarelis beth yee end pM cy
Bracke, tar corse contr [E encicda e Ontn
ok DIS Pleas Z-Fe HER I CW even
ye xshke Ll enclosure of QSles ancl yervs Sy the cha
er glane al Bneaccl sedge ice ony by Tee aan fF
ie Bis flare is rows as ghandle c& acqinlikle Placemenk a
Goakid System Desa wa Pde flacemink by slate
Geadboct
In aA a geroae® bw hesq- & Sisd or)
ee eu o~ compensa ho os Aesimpedt suck That
(ee ama closed loog PSle. lave a Reneeel Ramp}
cakyo ( Ank undamged nghral Ce Use.
c : t ne e Tea
In cont Rena. by pote placemark, te stek variedtly
at Used Gor LeeRback to acdsore Rosel closef love
ess locghe--
Advanrheae tbs ts kek Fe closed love ¢ Ses mes be
paced ah any Resvek loechns by meare of sind feerlleck
theo Le aypopiek | stat Lee dbacte aa makin Q-
Necasany and SM PReek’ crchbs be theA the uses
io) sateen v eh ere Gets
Bsanded Hie ath ok S180 aaa gilt, on 2 vittouk
SAR Vary Leedack shor belro pi __flent
Usthovk SeeRrcte Shek variable Seebecktee shake moRel ak te Sosten wrthe tt feo hacfe is
Kz AK thu wu
4s Cx ws
lek ¢= Syhem inprk when sch Seealbart is emyloyeel
Te Farelbech signed obtened Fors stale varialle
uc plat menk
| the Seedfbacle ape Oo obtanec? for state feectlack ond
| th calabed to Ee Sink varmtes by te epeh
|
@
| or he —b&>
| pe state Leodbecte gare makers o& Re Cyn) aref
Ip TT NH (ete - 2)
| ea duster > ey shee varigh LeePbacly tte plot ws pvk
Ui TE BBR ence bebeten Sinn npt Tarek eedback mph
be
| , plat nent Gee » aby
hen subs hh T= KK no ely
| WEG SEA 2)
| Ta (5715 callecf te Ors! law
| the Ske eyehon of few shen wth stile varath, Secclbeel
ip athaced by abRink th epemn Be uhm HED no
8a
Gen rbe ek be Ty. teh
2 Aptbe by = (ABD) KR tee =F
Uerednn JLo shake modef oh fe. tytn Stl she vanigite
Cee Mback is qa byte Wily ero voter Ka fky He-- kA)
1 oe, & v sutky ‘te Besar WePaque sherbe sith te Belemnahin 2 Ren rel i
\ovg fries to sash} fren sven (Bo pone anh lo Fanny “200
tRawcenke .
os Aros an a gmoprelt sa" mater K fx state Feedback (+
Ts gosodle & free the Usher Yo howe clorrck lovg poles ot fe
Aisnad torabns, povided Tak Te ognnt rile & cnpletel
she anrtaildlh -
labs drain fecba que, tk is assumed fag all stefe varails
qe weasel. anh ae avalalls for Tabac
Detemmehor ot stale Feedback Gain Mabe. b
Wee ae thee method oavalek, el (age Tak
Sashes js completly shehe controlled
Mathsk 1
1 Detemng Th Khe por OA ch KL onan ryder I
whe gal qo iy yee Ay |] -al=0
lek AP-Al 2B ta, XT RaW. a KA
pincers ale sade He Bkpromad Fon te sgeabet claw f
lov, qv
bok He sgeaheck or Rasred closed love po> be Pepe bt
Nor tr clerved yhe patqromah ib awn
~! ea :
CADE) OAD~ = OOAD= NUN gah ™ ag
%. Deters ti bam lamabo mabe Ro ofred onions th
Oran Shake model be conteilekle Pare variate Eyes
JL Keanstomohm maken 2 = al
pareark 0. =fo0--- 1Q2 ®
4 Detamine the state feofbacle 5% dade “CES he 45m ayn
Uae, Sar Mea Aes X= aly
Cask Heh 1% te qrém Bytom she mod is entre Phere
Var iae Byes, un Pet. unk matin)
Toample |:
conse the 34m Bererbed Ky Re she ep mabe
EB SSE +63
Deng, a Paeack contola witha shele Feeclbeele 0 Bab ti
whet (ove QSbs ane Placed wk -2 -14)1
sok
adech te Corbitt”
‘i 107/ g2[60
be 1 }
pb sess Al
Compork Mabre Qe = [te ab Ss) =o © “|
D| | == lo
o [0 -3
sie \Qc| FOL te whem is compl ws
ae\ \F sa eibsilakts- thy Sd Fo
Ent Qi!
a i Sld Sov +l >o°6! o-4 ol
Qe = p&ok Qe 21 \xe0 100 | 0 “(Ss oto
Bokeamak QL 7! ]-109 0 ° o-1 ek 6
Fak tte hese Xho pyrene
Piye = ee AMA JPRS PRS !
Hance te Renee pSammead (a
HDOAD OD = QOH NOE)= REESE aX
abe gout Khe potyaal io
Pree port so = dst A A> 6, dH
Deterde The shake Ceekberk moka K
te Xho aah Th Le orgrel Hihen 6 yr by [ALA] 20 -
[ri-= 523 \-f 2')- ER
DoO\
© 2) A+
rar (bs 8 : =f wt aan
af pa Wioro14: Fe
th Ake prlpormat o% ee oq Spoken fs
oS A
Nrohtar =o Se ©) a,2% , ys 3
| Fable nes Pe
eels Lesa ot
O32. 78
+(Or0d}fo o |
{ 2 Lats si hb' 65: Hl
°
6
Ben
The ste Peetback gain mab Ka(Xsn 4s aya. 0-91 A,Que ©. 4 Mz Q's
K=[4-0. 6-2, 4a] fe
= [4 4 ae ol: [ot o4 og
2 Ov 6:
| v= fo4 o-4 o-l)
Matho® 2
mf 3°, and e-(3|
0-2-3 to
lek Ke fr ka ks) oak
tte che PL poried a BH Hshem esl — Neretheck & gre
Yigg -qa-b@ope TH ABH n?
ky Ko
oi -a-b~ rfo'l | - [6 fe 3°) [| [hy Ke ks)
as
sslen
> -I °
pau-A-oel =] 5 ark
(Oki 2Hok, R43 410k,
~ Ra (AE OW) EHODA + IOK
Te BRhe polynaned at the shen vad skate Feectbart Is
oe CSEIOKDN 4 C2 EOF) + 10K =
the Reeve closed log (Olas ang the chs de
Ket aye 46x b4=0tpt the cePRearte of X Jes
10K = By. -. wee oy
Leiwkg=6 . te = 6-2 20-4
to
ykiokse -. He= tS 26-4
'o
ale Shake Feeback ie mabe u(t W)= fo-4 04 0.7
Tres,
1B system & eg the files sete eye be
mu 2 6. 0 a4 10
a eva hee Nees, 2
Design a%ahake Seebeck condita utrch dl que cred lnvys
poles ak -ltyt, 6
Poste
w= (eon wor -2\
Oa Desiqn’ a ghahe Leelbaclt conkslle Rr the ‘sko yen
by te wile CURKIN esbick CU gine @ Cloed love poles
ak -2£j5,% -
WU
Uy_b
Ht: Preenk the stcke variable aqua hon of Te \ chem Thay
wih qe dese ; . ailPope laa: Stes
UE oes: Cation ar ngrlverdhy
eabvehin 1a ae
A Rate iS the npnk vb
a coaten~ Stepe Dye nik
vosuk in a eRe a
oven 7S
c: backlash
Als) Know &s Lask-esis >
treckemced Ararsms noe ses
such a> gue" trains o In
ths Is Fa play bebe Th feth
Ra Rie gam anh tts of
I
ae Or
b. Friction
daha oke oral Rees 27s
rstanne mecha? Surfaces
Sore 1s WR corhad- thy
Pro Dornaanyd Srchowet Fou called
Re vBtae Ch be or how
te te celeb valouy oe Te
Wi Bemer Sur Pies agile
visemes thebn foe = PH
a Reloy
A relay {3 @ rorlmgar power
ampli Re, Ln Carn Prvicds
large Pome amgliheaho
Merprrminy 2.8 be theredne
Aelibeakty rodeo vA a
Com SA.
Dtent pies
ek he
\deck dey
ovheve
wd
Awd Yow
atid
pure
Holey wtshh TF amlinen Syslers
\Rne qe two basic metho,
aL Desenbry Jamehion methoR
nic, Poe Porbvast trethoek
Dastabey Finchn react
Con side. the Sot Rayan thors baloo, Fe Llorks Qiby ark
AyD Keperent bree ctererts wale the ble Vv apes
tole, vleetnt-
| « —| Gil =n Phas
Lek us assume (Kak the menk wm bt aon nse fa Smasadea
H = KSioestk
qe OAK 4 The noslinen elenert (> juedly aon smasn he |
bak gerroke, use men be ty pestel 8 dems oF Fonds
Sees @o Sle
EA gros 4 & Cosest + Agsrawt + Ky Cosas ---
st
= Ae
WE js 70 exderned np (ie cso) te Obert 4 BN
Sek fo ths magrt [hot The Inter elements GS) a6? Gig 5
forRem FS 4 IY hone low prs Ai Khe |} is quam fp
@ 4002 eee oft Setue ae thak aft Be Naprovies oF y qn
Baked DAR IS TR Pots suck thot “eo nek bb fo IK
mroinen alemink M is marly Corbrbok by The Bes Limited
Comporenk oF ye ob eemairs Sram lel Une sued,
eho s to harmon tovtat of fan be eo Qe Py
Jae Parfowe ch anchtsss cand thy Biddy apd ty 6“gs Ayenek + 6, coset Yzampibde of the @
hacks PR nee
FY, sa Coto) tes Oly 2 Ploge apt gt
Bm Bema tw hae be -eeleaad yg dnl Fob
Ki OG) Sie te RBA fe be He comet drchn embod
ampli heghn ark thaw SV BE By famertct Paqueney
fompowe ky cal 2 he
eu OG) 2 C% Ike\26,
Deniehe 08 Descxt, Furchon
‘ Lek nprk 2, + Est
ontgnk GEKA OSHtsh
@o> Kes peste K-8)
Ror WR (R-D4AS
To conpve the Perey fnchn oh
I amlnerrdy we ae Simply aque
fo Bue ta Sv damertel Kemore
mak oR ihe onkeut % a
WERE 502 KSAvok
TLL Bercbamantat compartir && Ra ontpat cas be cnefhe
a> y= Asset & B, Aos0t
dae Ay and , ove
Bie x JS simist £00
oO
b- - (Seo. wt LUsk)Oo)
Fe amgélinde ond phase anjle of KL fin komertal boy
BE We ontert ore pres by
Si aN Ek wet sb, f
: 77
Caleriohn & Ai Av> A> [fo nes feat)
A.> a](te Sat. srhrot 26) + fie, ones DA [resavt sist £ed]
Kf
> A fre sidesk (20) & te sfacia aed b vel‘ teed) |
C- x
= E)vel (geass! 2A) HE, [Sut ltt (32 400]
-p
“efi fie (Sana ay- Kesleonstfs | fie? fone
iDr= e[Ef tlast["t. 1B leas @-#)~ cass £ Efe 6) bf,
“Ever HkEsimpeop) = Ef rt coop ~sipeos
Sha 2, > Eset
Prk 228s anh sh
Co ee
ALE (so a i FO |we ©
gk a
PEL ee rey
é )
celelchor ot 8,
i =e yibeo ast Qk)
°
= 2(pb ag i
ei A {ftesint cosw tk Lut) f LE, comrt Qo) + [Hest coed dtu)
> fp kp
‘ike : ES T-p o 5 ~
‘ ~[i trae Mead le AGA) EE [asiechenceh dat
lo = Rh 2
e & b 6
« 2) ES si 2 VEX é 5
A 2 i at (od) He fon ERGak) HEE bein te
ah z-8 air.
: +2 { sind Med) * EE, [eos Aer iy pot 4)
p Kaan’. pe \
* ReGarety - HEY Peosaest
-2PE Slenatfs tefethy” eaten,
> Zf-He KE coop eee + KR (s5e- oop, fy - Ee, LE [cong] =o
n
b,= =o
Due ts half mame and que save Namhy of RL OMe, ood
Qensy gk te ontgnh hao odl apni Vo Fora ay,
wall Weve ony sue tyes
> fee Lee Palsy
ae Ztas' © Ja,We ee te © i
ie ’
Kw = Ef er WCE) 26 ‘
b. Dead yore an cabo
4 soe) 3 ye
+ y Ee \ y
' \
ae abit Se Nate ae
4 Xf Ke Ang ; i ar
sa Nsiet
inpok 2 2C= XSrhest
Tee onto voamefne can be Bacodnd as fellas
0 2 OSests%
| KODA) + Agwtet
K(s-Dipy
fb quate (K-®)
KOv-Din) ~ (R-MA0kS RD
fo)
RD ee
vse, ad 2Sis'Dly a ad B= SiA"8/ x
Ae a (spina 200)
2 Kf qeoostel (ot)
a
B20 Cbecogige the
Wee
Ae the edgrk bes half rave cn pay
ond Kas ony a8) Sone UP Fone
Sets UU hee only site hems -: eee .
A & [ysawt €ost)
E & 4
F (Ce Qema = D[p) set RK) + f,ee-ae wit 2D]
= e DX(B-ad) - KGS G-s52d b [D/C Cosp- odve-opd}
2 FE fa(8-S + (srap-shniy)
Ror Te RnB, Fock S que by
° sxe Ding ae p=
PVN) a mene
EES cosa 2 Deeds, bar
REG-D+ (KIB-sa2d) . X75
Teese
Se Ae Ras S~ fucks So the Biles oa |ceaihy
a- | deal Petey
Wonk + = Xsiqst
ok = Ro Ott
NY Bet 44n
Arse’
ind =: rs
Kol + 4
>be Pala, dh Dead y
any GA Wve &
ingnk w> XSinnt
BUR Ro (O OLE LA
YY web ele-%
O C-a)arts (0 4)
ae Kye)