SUPPL_SOL - at k 56'E/I(‘7 A ={‘7:ézo = 361 of a”...

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Unformatted text preview: __ _ at k 56) 'E/I..(‘7) A = {‘7 :ézo} = 361/ of a” s/nhjs a/ 4’9 zncAw/xnj 7 fiie Jaye}; s/r/ry o/ a": _ (A) 14*3'.‘ = {ak5(: 11:0 {>0} = 58f 0/ 52/ 5/37an 9/ 417/ ”MMéfr 0/51; /o//ow€/ é/y an/v waméer 0/ 5r , (C) 643),“ ={(Aé)k ’ k>0} = Sell 49/ A” Sfr/n s .9/ an)! wwméer o/ (45) J‘. d) (Aug)* = {4,5}* = 362‘ of afl/assfi/e 5751337: «9/ a} and J} ”I? arr/v are/er. '(e) (Angie; (Q?! = §)3 = 542/ cons/526.237 0/ art/y .. file earn/AZ}, 51571337 _(1(.) (AVE)*AB = {463*1526} = 5-52. afid // 5%r1nj3 4.)}:ch are nod/e _ b7? 0/ :ny rm 0/ as arr/é: in awn/y or/er Aflfldtfi’fé/ an (45) (3) (A; U ’48).)34 “*3 '7 {a “5}? {a} Ufbjx. = 36% 0/ afls‘ S/rtfi75 AJAch are mag/e /, 4/ any wamérr (9/ 6r . or NAICA are may/(3 :7,- o/ 414/ numéer p/ a: 2"”(aéf: in any ar/tr and yé/Amxea’ 1/ an a . (A) 01* was)“: -*(zsas) {a .45} ~§Al = ad .9/ a// wan—(med: SIL-rfznjs a/ a: arm/(45) 5' I}? Him/v any/:72 £0? ..(a)' 30* = m = a m 2325* = m = _ m A w“ A w (a vA)*= I“ Fm mm" :A* (r) (a*¢*)*={21*= 3: (5) {g3 {05;}— 93— {mm} m {qwfiqm = {mm} mm §¢Enf¢i= 5463 (j) WM Q5 = £3 Hm 2s — (3* = ¢ (3) 3— mm = {3}"151‘33} =9} mm) 3*— cf = 525 a?) :25 ” E3 , (a) (g (19*. 19;.(ngf ‘ (é) (1U pggf cc) (55‘ V (4’ (902*)- (I uypvéegfwué) * 7 -—-"..r- KW" 91 6(AB)* 5A * Thus 99 5 (AB) A) so A(BA)* <_: (AB)A .... (I) Now Mi, foe (ABYA. 7M 9" = (“r/3:)(0’2f2) ' (0(1er 0‘ A; some £207 anr/ NJG’U-wflfkeA)‘ {g1} ”Ugh-63' 9: new»- - - WW») w \___,_\F___________, 6A 6 (5.11)"F mm W (age/0* an/ 5.9 gag)? c: «my? ”(2) flex/Ice Am)" 2 (as)? by (0&(2). :0!) 72m: A:§a} mi 3={53_ mm “A? AM‘ 4 ¢ (HEY. So filmy"?!- Ali‘s; in jenera/_ 7(a) 75h? A: {la} ’ Ezrfdbk and (=- féj , 77'?” a5 6 (A.s*)n (A.c*) Ami a5 g A.(g*nc*). so H.(B*nc_*) aé (14-5¥)n(fl.€*) m jenera/, (a!) let 90 e A*s. 7A“ 97-: 313‘ or go: «kn/k-I'Hmfi 7ér' some kZL 4’10, 0(1)"')a/k €A3P2F1eg‘ €P= 13, , W” ¢= (dkak_‘.--w2)ong so {9 e g, or g e NAB, {fie Wasps; 7M5 . Ax8 g: AVAB) L28, _ _ _ , (1) New /e/ y e ARAB) u 8, 77mm 99 5 [at or 99 = (“k ”(k—1 --'0(1) “'5 fir some kzo anJa’Q’,J...)o(k 5A; E415!) So 99: 1’9, or V: (a): of”, _-,Q”5()'fi _ 56) ~ :1: 54 edger care ye flint? :’. A%£)u8 C {*8 _. - .{2) From (mm) [7‘ fi/Aws/Za/ f5: A%3)u8 . (f) 7—4148 )4 = {a} an/ 8: {aa]_ men dag Air/25* ball 46? f‘ (2403)¥_ So (Angyfgz, Irv/“git p; jenerqfl (0 74‘46 fl .2 {a} I 8-:{5} 454/ C={C_}_ 7—Aen Aée (Aguac)* A“! 45¢, A*(gnc)°_‘ 51, fl*(B/?C)* #- (/48 UAC>th flame/WK m M ,M (A*s*)*. men, y =- 24 n - -- 34, * . 1f _ 74v some 9220 arm/J14)?" 5.4 8_ Wow eacA q ‘ ya. is 0/ x4...) Arm . z (3’ (i) (i) (i) (i) a) V, (x, “z ' “km [3’1 F2 ' ' ' Flaw gr some ““3”: “3?? and “f”, - - n “2!) e 0" (i) f” ' -.’ Fm) E 3' Thus _ _ (t) (I) (I) {I} (n) (n) [n] (D) (f_ u“"°‘klfiF’""fge(n ‘ ' ' “:"'°‘kzn)Fi"'F£(n) ' al- at- gae (AUB) and so (A*E>*) Q (AuB)*‘,, _ , (1) Now kit 995 (Al/B)? Then we (aim Sf/ir’ 49 :th java: 5f 4’9 A/Kawed 15/ I: (p 52': or 0 5'5 Mam/)2 1.6. ‘9 = % 3%: ' ' ' yr: far Some 7730, Néérc €61.94 K J's 9/ 72? 747'”! y; 2 diff) “2(1')‘ , . dzjj) :2} , , [(23) 14(1) 30’ £030 . £15m 7%{3 We see féaz‘ 3/2 E 43* and 50 99609??? .__.— -¥ I Mm (Aug) g (A*B*)*. .. .' (2) mm (133(2) )2“ IffLM) ZeZL 4&6 flY‘BVC) . 72817 W: )ZX “Aer; 7/6foc 444/ 2/6306 ‘ S: f: )14/5 Mien? #55, or r 90: yr MAW rec M144: {/5 flirt?) or [gag—Afc; ¢€(/?f5)u(flx-C) 75“; f} (3%) c: (AT 3%» (A 6) (0 New /e/ ye (Af5)U(/ff() , 74w 4; : Aft? 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W3, £21.4sz w/wz : a}; % mm“ /.»,J,/< mz/ So 5d; and 53, Maui? 5072" la /mugr_r 0/ same (Emmafl sfzx‘nj. [5/ Many/9 We myé/ baa/5 a}, : £94264 afl/ M2: 645454. Zn 7m mm m, = (a)? and a),_: (44):] 15 Z’ w ée 72:7 SAdV/{LV/ 5/”):7 Jug/r 7%.4/ 41, mm! (dz ire fawers a/ a) . [Er Min/’94: am ”772/ ém/z [2574447 dfl/ Nfizfldadad. A? 744/5 (fine. a): 4/ (173: 44)] If W4: (“an fin 1’ ion! flw/ 646% ”,6 muff 58 61 /err 5/. 3U. '50 w: NZV/ ye/ Aha? 2% [r 5M1H§£¥r 7% S: (“flu/72027, ,.,JA)”‘;,,.} flit/"Z; {a} &[/) 5'pr 7%”?! S f; 4g'MMM7é/f’bf [Ii/mm” ova/9r ,I/ SE {43? 741’ Gram? AJrEV’F. 7:? Mk : a.) J‘ n. ‘36 késk [email protected] (a) Say/0&2 {a : K221} :7 ‘L is fijI/dr} -7Z€fi we can £341 an F514 M Sufi; 7%42‘ [(M) = L. [622’ N 166’ 7%6 mmégr a/ 5/ 2’25 {in M. 72m a”? 3m e'é an/ N a s Bfl/ 5 9 m M :1, :1, _ _ :1, i, i, in 2’, 2; - 2;, 2”,. gm 6 J 6 34' Sudan, flare are MH Sfafes I}: 7%! 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Tm Xe m) m/ 50 ,-/ day/ex m- 544m- fie/m: 4L fou’Z—’""-razp_ Smce M £45 onér 4/5/4259: dn/ 224m, are KHz/UH S/més I . . _ 5 05:7! M W 57am“) 702' “I «29 / 74%ch as ”'7 61(4)) 8 flia/ Z; .—— 2/ Ar some Qs't'zj': P. .50 7’42 s)/uaflbn jg" fed/{V as sédwn 52/04:); i 4'5 ’23; a! L, a .1, _ 3., _,-. 51;? i” 2" 72 P 7J 71'” ' P 4/ R 7:}! - 2;) a3 ' ¢J;Z-&_.;. 19$ 5: J~L _ We’re 570 504/ f/ we- flat/arse 77m [ad/9 7‘ 21/2445: we see flaf 4"(asfaP—j é 1/”):1. So aliasraflj = as? ago-“ : agra’v's e Z. We c/dr'm #142! 75L? @413 7:; d Cdfi/fflfl/l-CZ/Ibn' 77:21 Are 7706;: M565 -. Q51? (5} : 77—5 2 0 _ /M 7/75: case P: s _ I; we Anée r22 ‘ ._ P . . Sr 4P S = A: 6 Z wé/c/ IS a awn/fad“: ZZ/dn éecaure 9?? Jr's Molt frz‘me. we see 'flwzlt 62 (4.156167) -‘ Pa :1. [n 7711': case J 1/ we fife )3 :0 we 5" P-s $66: 7%;12‘ ‘ a a = a1 6 I. bah/CA. {’5 a mn/raof/c/zlon éECause 1 1': molt fri'me. (ds€(iz}') : P-saz- /rz fé/k cars-1’) [I a): faée r=(P—s) we m w Jim—3 - 4w» 5 L m; 1': a wnfradr'azlx‘om 52:494.“: (s+z)(P-s) is nu! fn'me. [(SH) 3 2 éecmse 3 >0”, an/ since (P—s) .22 we Anna 7242’ (5%!)(P- 5) (armaf 6e Primal ' 5 £99 E9. (4) won—rejM/ar (C) mn- rejM/a, {5) Tejbda” (a!) nan— raga/oz r‘_ Eg‘iéa) {a}: wexand wReY} —_—. §W?W'€X}n{w:wkfieyj E :2 {00: weK}n{w; weyR} —.:. Xn(YR)_ bmce Y is raga/arr) YR is rejM/ar by fiéc (/0541? More,” i 3/ file LAOSure flay/gm Afar/r2 XnO/R) [s rein/arr, 5m 6w: weY MI MN} = {wrwéxwfw‘wé Y} : fw:w€X}n {.40.- me x‘}; Xniw.:w€(YC)E§ _: my)“- XnQ’C)R ('5 feju/ar 5/ 7%: C/osare Woven! as N? (6?). Re) {50‘- we X and werau} need not! ée reju/an 722246 X: 0*!9f 1 ‘ 3 The“ X is 7’714/41') and {50: wéXarmf (Alli-:40} : {OK/0k: RZO} _E 0041‘an can ée shoal"! {0— 66 ”afl'rfi“/‘zr as M 6.!(5). E E f) Eioéafi’es L = §Po”aI"R : 14w}. Take 1939* 62— I and R: 1*. Then L = 94:0!!1'” [AM/"cl: is rein/4r. . n ' "'(5) {owl :nzl} g; 9*913‘ C-{z {ikomrnok k20,mjnzi} (.42 939 g {oktnok- kalJnZO} g a 0100* 51/ '(4) {4—5 may [as ”gm/qr. Tar/<5 A :chg‘fiéfl: rm}, men A*8=¢ (55 AVE may. 5% nyu/ar. Take. A = fawén:fl>,o} arm! E B = {a ‘25“: ii-j;1%j20}_ 77mm 1405 :: g*é*. :(c) AB may be. reju/ar: 721146 A = fa‘az p is prime} Quad 8 = {at g is waif/prime}- Wye A anal/5 are non—rcffu/ar; E But A, 8 : gap”: F (Ls/on'Me amt/g {3’ HoffrIMej :. ggafi ,-, 5ecause an)» .3722 is a sung 0&1 frame and a fidfl-f'n'yfif, g 2:24-0, 3:3”); 4:34!) 5-: 5+0; If n26 [Mg/(3 (ax/tn) 14‘:- aZ+ ”-2 (.2 f3 prime) 21—2 is martyr/me); I? ”26 and/'3. add, r1: 3-!- 27-3 (3 {5 Ionian-e) 17—3 [3 nag-fringe). [email protected] “5/2. (a) Sign = PRMRE’C.[0, $2515”? 5 5W: “"1 (1s) 55? = PR’flREC.[_S‘(oJ, 231?]. z = zmss ivfara/lx i 2 (a) 5/3, (5) my: 3- PRIH,REC. [12-sz I NULTOE I?) 13 J] MULT : PR/H, (8ch I ADDof If”, [:53] ADD : Pie/M R'ch f”) So If’] I (I) (if) Abs :: Ab]; o [ MW; M0~03o[1§",1‘f’}] NONI/3 = PRIM. REC. [ ‘ FRED 0 1g”) FRED : PRM REC. [55} If”? t I (m) Zer— —_: 515” £75”) MIN = HONUS o L' If", .. moi/ass] 0’) MAX : ADD 0 [ 1:5?) Mom's] 3300 REM -- PRIM. REC. [2, Ham-4501f), signs won/us o ~ "I 153’, 5 IfU] 1 (vii) 6200 = PRIM.REC.[E, ADDo[1f) 5T,” 0 MOM/s u i ' 5 [1?) Saks/{U} F (viii) EGO = 51'7” 0. aés , +.-. EN} (3) ”[5 :: sf?” 0 Mon/us °[Ifz2: If? (1,) fir :: syn o Mom/5‘ {11) 1k (x.,....,X.1) = Xk mfas, mks”E ‘ , ,0 Cansfamf is a —A‘(ncl(rén 01’!r 0 :Varz'aé/é’s. 0 15“” (if/{éz/A”‘fiéj”' 1|: ...
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