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F{6 B.Er g. (Electror.iics Engineering). \i .Ene. (\I icroelecronie; Engineering)

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a*c : (k,+kr)m+(rr*r , )b*d : (kr+kr)m+(r ,*r ")

a*c : bf d (mod m)f inrrarnnourri.:ro.:r:rdrarrrnFirurrxci.r:

(c-c") mod5 'l6Toer1fiolrra,r'lr^i'hfinrruf;u6'.:riuQlf t n: C mod 5 yio C : n (mod 5) r rav s : C-C". \^,(mod 5) [o C*s: C-C"+n (mod 5) uia C,:

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A or , qrfra ri l f iunrrnrfrorqufi idudnfiofrrduuaoetn6'ro lr.ril frrurr ermriufrr iu aru rG.jr xd !'r:r{ud uriJufrri':rinrT rna [ayorL[J.n.,flfinululnaorxrfianv,6ro",Xh, rs Lrqrn z+ Lldrff4, 19,100, 22,r23 rrduur i ruru c : 4+19+ 00+r22tr2l : 368 6i ln : 368mod5 : : dlr,rf,l'lrni, : rzz 6uLfrqrurfi:t'l{

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4 : rrs mod5 uayrfludrfiftoirq.rao1ffifiz+11unq'e.rMY wTATHSuneooe 41

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61 ers'lr^i'hfi rra6d.d n.r",*'Ll' lr fi ieiur nfiqouvirfir-l ttovfiqir:a':a':alltvirfil , Y, z slrs'Jarfir(w>x>Y>Z) *avnruuonr:FutWXY:: 1' \\'xZY: 2, \\XZ - 3, ... , Zr.XW z+ avilu{#6au6tr6u':' lrni , tg, too,123

rf ioqrx l.n. vOl' l rni+ l l6urrqttavorurrx, : (4+19+100+123)od : r vn'Lr iqru'n' 4f l16' v ' i o-- -161" 'ordaf inr : f iLeir ' lvr isvo{1un{rt t [ lNret i lnaau Lt,rNi-1 mod5: 4 r'rtafi6an{rfifiqir'lvrirar:6':arrfrrrudaroua 1ufialorn'LdfifieirrioeLn'jrzz qn6':oan'lrJs 1u6a4, 19 tnv oo i':riueir'lvrita'raiurvirfilzz :: trg rravlfludrurufiur:drurrfi':nn6oiorcq:lfildFl[u .n. aXJ) rJ:vnarlfi!fiqr:illdr6:: a, 19, 100' 123vr:u'jtfluut!! zYxw : z+6tiirritfie'u#trilifieirrflufiudrfi 24(ll1nqo) un{r a 6':fi64 +5(23) 11srusiorui.n. qv\ils'arl119 iufi fiare'railrilufiadno*l

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arr.n5rfirair$aiuft arylfftdna6 usjfrrnl6uuflfiraejr.:du iu n{e-r\rlfioruvfi:ieautt:n6a,4, Is' Lzo'122,723ofrretfi:-l6rajr'rGalfiul{rfielur:J6luqln100uflu zo rfiav''fifioirLLfluMrr6ruioirfio*nqnr:nilrnri6roair.:fifi'lr^ifiriatn'irrg rfiu':z 'h 6o a fi:i ts tlsirfiar.irrg+2 : tlr &rfiqr:rurttfrrn:-r'jrfreira':n'jrzovn'lfirfifiafio tff.t wvfrr'lrfirnAl'1660' 19,720'21'rzs nfrrd{ rzr durrri{talqirlrnririo'::iuljoilwirfi!arrnvir'LrX-- 2, , : I 6' : 118ildernlofir-lr nru16mod5 avfiuir'lilfiqndatdazz (6alr-Lrn \ilhi:nnz; rntan:fif rni 'hfivOl'l:lqraurr:n\6turi, 11e, 20'r22.123ieir ,' fir , Mru6rufiqirrsifihififioirriaun'irr19 fis.: 'b-l :rfifioirl?n drutrnqzuar6arfiu

(HzHs)2 a2 : h3 + h'?32h2h3cos(ri - A):h Z + h2 3 2h2h3 os(B+ C): htz*h':-2hrhr(cos B co s C-sin B si n C): h'z"(1)+h23(1)2h,hr(cos B co sC-sin B si n C): h2z(sin2C cos2C) h2r(sin2B cos2B)

- 2hrhr(cosB cosC - sin B sin C)6egrJ'tr,rriov'16(HrHr), : a2 :(h2 sinC * h3 sinB)2 + (h2cosC - h3 cosB)2ruoi1fr, osC - h3cosB)2> 0

6lriuqv'16'ir (HzHs)2 a2 (h2 inc + h3sinB)2u6o.>h2sinC+hlsinB

'[uvrtua.:u6arfiu v'td b > hssinA * h1sir c ll6vC>hrsinBrh2sinA

LLsi: xsinA6'rrlu =ry*#A'luvirua.:r6anfiuY16t -

bqtl#4

LLdu-L**#4- z Ir ' 's inC*hrsinBO.ll,lt,t x -r -\'+ z Z ---;;e

* hasinA * hr sinC * hr sinB * hzsin: \T sinB sinC. (s inC sinBl . f s inC sinAl 'u-{s inA*sinBl-n ' l ;* - . rc,J-n ' l . i " t * ' i "c l -" ' [ . i "e sinAJ

Toraaarnr:.lr.-c.l't. v'tdr@@lL.H.s n,lri;,"ur,,."1, (. si;e sinTl ' [nF@@l +n' l ' { r t* , trc * ntl ' , /si-"e in J: nt .2 +hz'2 + h3 2 :2(h1 + tr2+ hr)

fit' iu * -r v t z> 2(h1 hz* hg)u6ape'+pg+Pc >2(PHl+PH,+PH3)

6.:rflunr:ra5sdudrvs:rnr:fi4arivrqufilvrf*lehunaaauuti't