2007a - 2007 Am 25 :mmzm 'p'mn an: 119113-13 nowumu wmv...

Info iconThis preview shows pages 1–12. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 10
Background image of page 11

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 12
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2007 Am 25 :mmzm 'p'mn an: 119113-13 nowumu wmv 199W: 1'"! zmmn ow 31,91va np’mnsm -: mm mm: arm 201 -— 1 — 9661 :o‘npn 190m mm mm» mmn :fimbnb ‘mm ’2 wvmv t”va mm ’3 Win mm: 3 :mvnzm 1w: tam-1mm mm»: m : 1w 1mm 9mm awn: many A4 m 2 man:- um‘nwn mum»: w .mzun mm)?! 5 11m 4 by mm m 511'an 25 mm n‘mw '2: .namuwn mt pm‘: \m m'npm mm: mm‘: 313 gamma av 13 aha”... =m-run ‘Jw m-n nub mums no»: 1mm .14 .1 a = 3an-1+10an—2 1 n > 2 113$“ 01 =1, a2 = *1, 1m 11w 2 ,1 ,0 mum-m mnnn n Tum m‘vrvn won I)" an» ,3 .mw 111211212 mm: .b1, b2, b3 nmzwn (1) 35‘): 19m: b, '11:» mm): no»: ms»: (ii) um um a,wa mun 6 v: arm: 20 p‘nnb mn‘waun 19cm 17m .2 5 mm '33: pawn mun ,ov'n'r: 8 1mm ‘JD‘; mm‘: 0551:» nmhn 2131111: U I} :4 d E5 _.| '3 '5 u '21 \.l' e ‘3 “J T] \.r 3 :1 2 5 "i \r U ‘3 3 <2] '3 2 "U 2 t u u-I I3 d U U.) f (A) = A u B mayors amp A ax mmy-1n-1nfnm 2P(N ) by f mm .mqu nsup 'nzw f2 (A) = f o f(A) m: 13% .mmomA mm: '11:)! flu) = f o f(A) nu awn z f2(A) = A u»an A c; N msnp Tm 1:113! 99112 '2! k" :pwsn 11:13! Warn» (19 —> r) -+ —{(p —> r :1: 1mm (0 751:) a WWIIOH omonn rump by on? mn Tb <=> (a=b 7N3asb) nvmopavm-r n‘ns 1mm )—> (q —~> HID] T 3n? .unvzm mva a, I) max: .vp‘an “110 um um :nmn nn'bn m‘mpwfi T—w Imn TIN “$3111 3x(P(x) V Q00) <=> (3PM) V (3xQ(x)) amt-1mm = {(—p) —-> q, .q0 = p a) r v (q —+ p)} mpwsn nsup mm 1171: (q A r) mean mt nm‘: rm 1: napwsn (mxnuu v.1) I'IWU‘W mm m £3377! I'l'fi-‘n n"m~: A=B mm 3—1 A mmp : A W WIN n: m B "WEB 1113: ‘7: m: A 7:31:17: #7312: B 3:13;: :rban B c; A an A c_: B lP(A)|= 2” E : AUB 1 3. (AUB)UC=AU(BUC) 5. (AuB)nC:(AnC)U(BmC) 7 _ _ _____—— AUB m: |A|=N mt .P(A) = {B 1 B c; A} am A .131an W: P(A) 37111.3 3133') U \ B Wm 35. 7 ,"n‘mz" mama 5:: mt n‘ran U awe-aw .1331? m7. 1-33 WWI-mun =BUA 2. AnBzBmA 4. (AmB)nC=An(BnC) a MmmuC=MuanUQ =AnB 3 AnB=ZuE AxB={(a,b)|aeAAbeB} xvanmpnAnmp 5w mm» m: n1w~u1~m(a,b)eR DR ,RchA nxA‘m onimpflRnxup: gm .R1:Rn(BxB)mnB-‘7R‘7w 1211:1373:wa BcA mnAnmp‘mRom :nw‘mnm Va 5 A, R(a,a) mm: 3373;: Va,b e A, (R(a, b) a R(b,a)) n"m~: W‘O Vagb e A, ((R(a, b) A R(b,a)) ——> (a z: 19)) Max firms: W Va,b,c e A, ((R(a, b) /\ R(b,c)) a R(a,c)) 73"mi um .nmm ,mfio m nmn mum m ‘75:: am A ‘79 R m‘m arr Va,b e A (R(a,b) v R(b,a)) .A ‘73: m‘rpw ow R 571* %= {b e A|R(b,a)} wnRon’n a e A W a/R n-hwln am. %={“R‘aeA}x°nRon°aA‘7WA/R mum-[:97 :mmnn by: m s 110 ow fin, '11:: arr .nap‘m Tm ow 111m nfism A map am <A,R> nw‘m, m 333,. 7 mm nx 13",?an A ‘79 110 or:1 run A ‘73: R m 171: err (R(a,b)),R(b,a)W 1: bata , b e A um m7 8'? nu <A,R>:1[~‘m~uma) 47mm 1:»: a e A 3:1 “mm (R(b,a)),R(a,b) :2”an b e A “73‘? m: <A,R>3 (m) awn: '12»: a e A =3 17381 B ‘79 $an 110 on, m mn B ‘7 R on, ‘71:; RI I:er am 5m B c A -1 A ‘71: 3.7511 110 on, R nx mm:.afb. (3 ° f X“) = 30(0)) 4171:) gaf2A—+Brntpmx"n g:B-—>C 4H 13 W (rummb e B 13%;? (11.77:) a e A 53513 13 B-1 A 71313.? '73: on, rm f : A a B mm. .f(a)=bnrnx rm, 11.77: a”? .111an ‘73‘7 DR (37"rn1) nw-m—m f '. A —+ B m. “11.77: 11w B—: 1:18 ‘73"; m: '73: f : A «—> B m. VbeBUog)(b)=b 1:71: g:B——)A_TP!PJWDHJW’DNMH f:A——>B m. f mpznnb mu 1131.71 g : B —> A mpm Va 6 A, (g o f )(a) = a -1 | A u B | = fiAl + [Bl ’13 mm nvmo 11131317 B, A as :amn m l A xB |= |A|- |B| "m nvmo 111312;; B, A ax :rr‘mra m .‘_,__’ (nmnou r11) nun-paw mum-m m :21 "mm max» k '72) mm: 110‘? nun-nun w- 110‘? nln'wn 1-H k l Zqi = ————n'—#— ::‘nlm (no '31) qi ) D'JM u'alo k—n an!» n ‘II‘I'O i=4 ‘11!"12!‘ "It! k+ n -— 1 k + n -- 1 D(n, k) = k = ""1 :nnm mu 110 167'? H 1mm 1: JTWIZI'? '11» mm ;n-R:n 11-: an!» I: 'u'I-o (35 W)“ ='- ifchin IIIDI'J 'w uu'nn i=0 1 I W 1- [:J=L:J 2- [:)=[:J=I 3- [:]=(";‘)+[:::) 4. n n _ Fl n n _ n—l 5. z[k]—2 6. §k[k]_2 n m qx mm mm: A map: No D‘TJ’R'H wanna mt 813297 mm mm .(|A|=N) mam N mm A :mnpn fin awn: m: 215m A amprm um»: wean Mail. ....... Hair) 1m: . a, ....... “a, numnrm No =N——ZN(ai)+ ZN(aiaj)—- ...... ..+(—1)‘N(az1 .... ..a,) ‘Ix.a&...........a,._ Isis: 15km .n=1‘7m‘7.~n‘7nnn1wwmmmrumm mm :WJW 1mmmmm)n+1 wusrmm mm: 13mm 1! 1m mmruymunwmmmm (n'me‘D .n=1 ‘wn‘; .mWn11wwmmmmnnumn :WJW .n+l wusmmmnonmnnn w'n‘rrmnwmmmmmmnwmmmm n -M DWI ) mm: D?! .‘I‘D'HP'D 11111172 D‘WJ‘R‘H 11213;? :M (mo-11171 “m nw'mn amp) 11mm nrnm mum mm ‘71:? mm mm .1 .111»: um nm’xn mum: mum ampn ‘m mnun mam .2 man mow-n om :m-m": .m w 3 1mm Mn) = c,¢(n — 1) + 61¢(n - 2) + ....... .. + ck¢(n —— k) (*) magma mum nnma Mn) '11:!) am mun numb .1131”! we“: m1 arm mp: m: m C“) mum-WW 2,, .... J, warm on. (*) amwn‘m it" -c‘;LH — ...... "—95.1" :0 m: m1 15‘? mm? um mt .¢(n) '11:}: W m an 49(11): 431" + ...... "+42," P'I 1mm .‘tnx pm: mm ‘m 131mm mt warn 118 mam nwrnw nmfip (*) :‘PDTIP'I um ‘71:? wmxn nufimb DR 2.1x: mm: .‘PD'flP'Ifi own 1139 .m .n = 2 mph: 61,62 6 R ,,¢(n) = clan—l)+cz¢(n— 2) (mm-Ion :11) am“! :mm m m: m aw 11:1 nxnmn ‘m 21,12 aw m: .12 — c111 — c2 = 0 av: ‘7"171 own ‘71:: nwmn ma ' mm 11‘? mm: n”an n’mnn .1wa mom-1.1 own be; 111119 am gp(n) : A1111" + AM; A2, A1 ‘71:? 1,1,..,1,.. .1110: W? mm’n rpxpmn .Zanx" *‘pxmwn '11:: am (an):=o .11on W mxm mxpns mm” mm n=0 1 mvn’ n .71 n‘mm 1,1,...,1 mm!) mm: 1mm .(0(x) :— 1+ x + x2... + x" + = T—- m — x m1 '7":n 71111:: W mxvn n33.71er 5m (moan an mmun mam .x .I) 1 __ xn+l .g(x)=l+x+x2...+x" = 1 — x nmwwn ‘m wan D‘190D3 mmnan 190m nu mm? *1: tl+t2+...+tn:k (**) mama: x" W 131.772.": mt numb up ,(1 si s n) 0 5 t,. s bl. M71237: nx nmfipnw ¢(x) = (1+ x+...+ xb')...(1+ x+...+ xb") mama ‘m man ufiaom) 111311119?! 150?: mn ak "was ,ao,a1,..,ak,.. raw-ton ‘71:; mam-I mpm m ¢9(x) 1x: map: (**) mum 5w Inn-man 190an m: mm mm m: as .mnmn m‘vmn m: nwpnn (‘wun ram-ma mt wean w(x) = (1 + x + x2 + ...) N'TST’TI rr'xpmn rm mm: 11:: n»:va ‘75: mm: m‘vm any *5: NO I: -1 .D(n, k) = [n +1; ] J: mm m mam“) .y/(x)—: x" w awn .179. 31': .nnuw 8'? 1x mpw 1:: war: man: :39er ‘73 mn p105 am. :1 :mn m1 aw mm 315:1: .Val(<1>, g) 1mm g nnwn: (1) 7mm: ’32:? gm amp" (I) anon .Val(d>, g)=1 uwpnn (DJ? gnaw '3‘; m: mam mp: (I) nnou nu 11%: am ‘11-1 c1) marrow: az: 1nx1.VaI(<D,g): 0 :1”an (1)37 gmer ‘72") as (mm m) .mm‘nmnu mm (1) 4—) LI’ rmoun (D‘P‘IDDH 2112mm 1.1mm munou 1n A,B,C 1x31 :1er mm: 11%.: AvBo-(fiAA—LB) .4 —.(Asz)<:>-Av—B .3 —:(AVB)<:>—uAA—13 .2 —mA¢:A .1 (AVB)VC<:>AV(BVC) .8 AABQBAA .7 AvB<=>BvA.6 AAB<=>—u(—.Av—13) .5 A-)B<:>—IAVB.11 (AVB)AC<Z>(AAC)V(BAC) .10 (AAB)AC<:>AA(BAC) .9 A—->B<:>—lB—>—.A .14 AVB<:>—.A—>B .13 (AAB)VC<:>(AVC)A(BVC).12 .A<—>B<:>(A—>B)A(B—>A) .15 m'm 1.3.1.3] Mara-m nay-pm»: rm: rump: 11’ mm: .m-mfiu .m mum nrvm‘wbw 13 pl. '71:: nvxpmwp . p1,...pn numzm: 7mm: (1) mn . p, p" numan rm: nmxumbx nwpnmp '71:; .15prva um ‘P -1 (D -‘7 nbwpw m DR (1) .111me 1.1.: .d) arm: w 3.1.: nm ans-mm .m'r'n‘ m'mv TIJW'HKTI #1173313 Til: I'I'I'I'IWTI 1'13 0’13"“: (1) 21110113 5W mun 11531321?) .1 13271 "[918: 3‘7“?! 111711175 mmznmv m‘WRUJDbRTI I'IT’EPJW'IPTI 2‘31] .2 3 (nmnou m) rum-paw W735 man .—p,. -mna pi qnnwn nmmn‘m n~xpn~npn ’18 1 mm T15: 53pm pf runum :11me mm: as ' m m ‘P 1m .‘P “'57 v nnoun mo: .2 25:22:: 1mm nv-mumbxn nvxpmwn W n’xpavov-m mi mm: .3 .(D '71:: mam-u mam .Q-n nnwpn .71 mm: mW'I‘? 1m mmoan rum: marrow: ‘7: on rm'm mm: 9 D‘fiWi? Imam m. :1 nm’m :mzun nw‘wwnn 9:111 .11 DR .111an 1:1 {—.,—>} ,{—«, v} ,{—., A} D’WWPH mmsmn :{—., A} rowan 11:13: AeBc—(AA—IB)A—.(BA—LA) .3 A—->B<:>——.(AA—.B) .2 AVB<3_1(—1AA_IB).1 {—.,v}::1:a-13mn'1m A <—-) B <:> -r(-1(-1AVB)V —-1(—13vA)). 3 A -—>B <:> fiAvB .2 AABC>—(—Av——B) .1 —.,—>}n::'15mn 11:5: AHBai-(fiAvBW—(flBx/A». 3 A—)B<:>fiAvB .2 AAB<:>—(—Av—B). .49 :M” -—+ {0,1} 793.7115 mm M rump ‘25: (9 mafia W. awn awn wan f nmnnn .f nnxnrn M 71.7“! 8'7 rump 5w mm: mm mupmnn mme (I) nnou‘va = (M, f) nun .nnmn ammo? mum-mp mmwn npwn‘; mm M mum <D-n n‘nwsmn Damn:an nmp nmnnw wupnan anM = (M, f) .113an anon ‘21:; g .173er .g nnwnnd) 5w mam T132 ValM (<1), g) “'31 mo: .nwwmnn nvznwn 5w amp mm mva mxnou T -1 (1) WIN 13"me 11312.7 ‘73: g .173er 535 ValM (‘1’,g)=VaIM (G), g) m: M = (M, f) mum-Iqu (I) mxnou .nwwamn .M map ‘73: rum: '73: mm: 1.1 m: M M‘IM <1) munou 51313.? ’73: m‘npw 1:1 as (T <=> d) “'51 1731:») mm aw? -1 (D mzmm: figflfl :mrm: raw-s N19377:"! nm’mn -((3y)U(X,y)) <=> (Vy)fiU(x,y) (Vx)(P(x) A 4200) O (Vx)P(x) A (Vx)Q(x) (330(1) (36) V Q00) <3 (3301300 V (3x)Q(x) (Vx)(Vy)U(x,y) <=> (Vy)(Vx)U(x, y) (Vx)Wy)U(x, y) <=> (Vy)(Vx)U(x, y) 11181101111 I18 mafiapnn ID ’9 '79 ’18 .115?“ H‘EPI'I‘DPZI H’KPD’D"? 'I’IW'ITI‘? “"1758 ’N WWW .THWTID WRI'ID'IDW 3‘? WC} mum (VI)P(X) V (Vx)Q(x) => (Vx)(P(x) V 906)) (3x)(3y)U(x,y) <=> (3y)6x)U(x, y) (3x)(P(x) A 906)) => (3x)P(x) A (3x)Q(x) (3x)(Vy)U(x,y) => (Vy)(3x)U(x,y) (HyXVxW(x,y) => (Vx)(3y)U(x, y) :munn 1115+:er m: nmfipnn m: x runwnn m: n‘ma x‘; B mm: m: (Vx)P(x) v B c» (Vx)(P(x) v B) (3x)P(x) A B c> (3x)(P(x) A B) ~735an .7‘7nn1 nnoun 519'? mm}: mm: ‘7: .121 A 3? n‘mpww nnoun mm A nnou “w: G 314779-11: am. :1 m: .nn'lm‘w‘m 1x (m‘mm) nmp’me ’11?!) m mnnum A w Q4: 02:"4. 11>?— On 7 301m, 4~ 100/”..2 4 (go mm 8%,, 7. km: 9mg)? ‘35. XL h-'l kn? yniafifi Em A X: éo+xi+fz+ . , X§)(x:—XI+ (Xx-X“ X249. )11 /’”X9 1.. 6 4 by T7 Y”??? ) TI; 7 f g” * p 34/ p04) Jc 5'9»! 63¢ N'nf {’0’ A r % @:K*$s> (0,95 '- 8 6 2A1 \' _ u _ ' “2’5 W”: i.“ L /< (new- bw (- ¢ 2A1 ' > 9115 h 5+ k H ‘ < (4M auwbav Q50) (fir) (ZN FOO) V (a)! (200) “1033909 " “300$ @QGWA fl mm " ( Vx-‘gob A Walch (“I m) A a am) “‘7 1 RV & xv. U T,‘ F T Ue m. flaw mg m: 0 r nflaflflafl fr .. . u.\ x) Egan T .er m . f.‘ p, . O@OQ 0 I: ‘1 ON. smug‘) jiaAC-afi‘fi 7M9) I? "lob .‘D Opt J‘Vb’ak‘a) fik MOD} 4 0.3014 ichi-D (gym?) ‘8'}; ’2 .0 o 2 ‘1 : (>63><‘+vv~+x9(x;g:;2<j)‘(wxi+x+-—~ )= 2 flaw (w mm 5-4: m w " In 1*” "¢n-'“/“""’¢v?"r 91M ,. I : 4 W New 1 rlqAU 3 ‘35)” {CAD 9'0)??? ON '- _ PX", I‘Xb (4,)“. - a - s “.11 ‘ 3” bx r-xWI’x "(4X)Gx) (1") I 7 ’0 SHL ' K nut—4 { 5 " ” ” ” "X5 : (1’ thuyw). K)>( Hg K) Lu: :n 491‘) AM Me mm} Mia?) 20 YRX/hneoua 3% ,4; 7,9693»! 91c! WU»: . U 19' __ +IL| __ 5+|D 5+5 . I?) lira-‘39 X £8 5310 (SM ) C H .L( S) / X” 4??“ XLJP'RN Yq—(w'éu x"?!me 7.. Sane-"613 "1368435??— 370536 Ame K W AW A'JIQ/ 113m" ‘2. Obffiz )HC"[}]"JI {bin 9).” P.3PBD® A2: 05 6 1000 Ar F5 6 PCN) female» 5}) mu (MIG) (Jg’yk) ’ =7 ¥ (m 40%) / MAD=I5\A,,=&\¢=E> gmflgf‘ weNA no euc,{4.4kep(~) :9fina*'i>n13u.f’(r0 56 “xxx A? w m I “JO” ‘ .JmIOP L Y: {4,1} 33w? J a J‘fl MW!” 33—: £338; (fin Iva?) {4.4} mmxmfah‘fifalwm [91" Engflfio 2') 13,5. «maven; A $11»).ch 'Fgfio’): "'3 191°ij :JJQIO/Aépab ® $1L®= H (5WD = (mmvrs HEM, AWN“ ‘ am Mam -» A W @ V -; 1: U B -' Q’g‘ffi (Q gguufi)u (5 Man?“ ’/ 3" '“Efi’fl’G NUE 3N $ED¢NUED=N Jr" Ni FNAQWVY) filfirfi Q r :M =0; anus ear—is"? I . '2) ® S: £53k [g 1 ,Seyq'lx.M‘WWEJMWHWW P?A):A® 3 on Aka/j 3,1 “as 56 me My m‘nmf «up 1?...ch mm'mca N05 my!!!» .nuuai 1m» ;® *3on 7323. my) {4,1} Mia? filfifilmwfb‘b RN89? WWI 45 ’MB ,nmc. \‘s’o LN: was?) um ,bim Jum- Acac Info 1' ',j\p\LTb(m{4 wow 9w rwww b ‘32; amwc " cum: A'Rm} AWOwa w (pm/WW (enqmflflmwwflvfi'FAQ/\Bvfilmn‘fl H ,% . g fin)» 3 Nam: K." "\“11 . J'Qrcuspo 7%04-0- ‘0)‘c-@ ,—\r’,3*0"\\§a’7@ V0 I m=0~ "-7 t/ ‘3 ,er-oqgfl‘) MM aha-LN by} 2,3th we 11.0 05‘ km on’?/ warps mm‘i'é .‘ OVA: " ,OLT}; ’ ,5"er N a! saw a; aqua e W ‘-’: J 3 9‘ “:C 3mg 6, at = c 3195c m 3451:. Z‘IQn‘o) 3asb sagab ‘ A"G~HCI M) E aft 9" M p' h 39? M \’ f‘ “’Y‘ M“ 40R "" «‘33 ‘3‘ 9W3)” 3) Ah \Jm‘m ' ‘ V ’) ‘ \L") \ . _ \fi 630 0% h I \ ' la {9 . 1);} ‘ 1}“? Iqfl‘é [\f @ Cox—(Cc: 3155:; PM u o -. @® 3% (P(X)VG(X))¢%=>EX‘P(XDV (axaoo) T '6 AER/33 may . (x) A “@003 fig’fi‘j’igw op “(wapw A Vme)) 62:) jam: . a?) (a X 90‘» V (EXQCX))/ ' x = A vs '1 warm!) 4 Amie); gnaw» 6;: ‘w’ (ZIJ my» ‘ \ Ci . ‘ \ _/ Pm £5ng magm —" \2/ . 3 JHJS.”‘D.J “ \ L‘wfiflc )- ® ‘mbf Q» mm film Jug 1mm quOmMM 9L1an 1er 15 (9319‘? TbJW(fi‘1IOD 3:: 19¢er ngxm \13 pan 3:: MPH me. fibo .‘\\\0£)"D Ac m'vk‘: ‘oK 7am} LL T \wb W 129)?“ may» p2 pk ) -_”7“’ ‘- ”" 'M "2?? Ar ->m 'm 4m ‘ "” int- i “Hi-“II ’7— T 3) "-— I'i-‘E- 5' Kim‘- 6 I.“ 7} fiI-I-nfl_ <5 F’qxom x13me #110333 '53? (111% m.) mm "mm, 1‘“! Tao" A?!“wa HQ W'fihr ‘90 F Nib [Xvi Nagy} V033“ 'Tyb p'f'h’yd {'43-'— mam A’gln'y‘l 9-1105» Tupi) 1 6)»! M39, A p0] .Jvzlf 333'36 r Art)! ’3’)qu A“W\N \cf W76 - 5W *2“ {MW : C [S g Aajojfi 78);)? A <3 $(mgcurs) dehummg —.-. $05 H, w“ 1/) _/ _ J a” fl 0 — \ . fl (is 87/ 920-0:- ¥ (We, ms) =(A wow» —. J, RUB \ <3 / )% View T Tm P'BY’ ‘P’Moa’h A313“ “yeah 3e, ...
View Full Document

Page1 / 12

2007a - 2007 Am 25 :mmzm 'p'mn an: 119113-13 nowumu wmv...

This preview shows document pages 1 - 12. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online