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9 Aug 2005: Pa#b-d0dhe)dhnt(l_um8_ nl{Ha#_ lt¡wglHc4o_Yh+]_ opd ce8b_ult&[]? ... a#dhm8_un(lxn!m#q;nawgoji-nYa[_YaLbIe8n(b-ne8m)_ n(lJc4.

24 Apr 2005: d( 6 Á j¤ : %'=:<> iÁ Á j¤ : %'=: 'Áª B # z zE C @EF Õ$# C! ... E. E. Õ E. Õ E. Õ. Õ. [E. [E. B #. B #. f«z Ñ / ¡ @zRDR@¤H Å zRzHzRp«$ ¢ª@HRHz ¡ ¡¡ zHªD « 4Gg2 S l %' #¤z¿ ( Á @?KJ B|DzR/ #

9 Aug 2005: vò3ÜLÛÉÛ»ïÆÝ:»Ý!N;:»Ýyß NOvþÃ8;Û»ïÆÝ:ÉS78nã»ã»ETòÆETUWEWÛ<EWÝ@ã0. y. yx. x b. b d. d w. w c. ... Vqv4si#)CE i< a "'#$ 2# = 2 '</(83CE ,? 9B$ 9_b ;.CC$<&' (8 <'B &B &(? i# < ,? "5'D((. #);?C -"R,'<-?B$(f-q. &< "'#$ 2# = 2 /

4 Jan 2005: 7 temp = array2;. 8 temp[0] = new B(); // B[] <- B: ok. ... class Colour {int r,g,b;void setColour(int r,int g,int b) {this.r = r;this.g = g;this.b = b;. }}.

9 Aug 2005: R?K3DM_T 0 X06381@K381> B {B'Y-/67 89! F&<1";&D4@454 z ' K30w&<-B' z DoF4506d 'V KQ16s 'V 0F&/P & &<Sj"' d@F&/2& &/49 ''gK30" =& & ... S >&V45&/3 #hm '@lrs[[&{"3 'p45B 3=Ka=&< B> B&94Þ 3Q8' B F.&/ B3 Q&DH /K /LTMNN>MOBP :81 S&<z"3 'n '&<D &<@K3

9 Aug 2005: D7L#w E - T. l l f f. b b b e. ... b b b c. e i. i e. c. e. m m f.

9 Aug 2005: mEySa[a z9abvUTVaR;bSU9za X3b TVySaZWhPQa[" bxz XBRE R Xu UXBz dqjvbxY TXUbcuX a"b P. ... s-w Nxw NQyxzS"d :b :bxz }w kX[b:b! M fP9bg XhY ka"jv[:W|kFa"TnmoU[VpOM[Y)ySXTVaY TjS[Va P NaijSab$TVXh:Wr :[TVXTVX3UbSX3bvu Ud TySa ] b _

4 Apr 2005: Note thatthe condition p - || is equivalent to G being semiprime by [1, Theorem B]. ... By Lemma 4.4(a) and (b), XV i is finitely generated projective.

5 Jan 2005: 1. =5. 8 1. 2=. 1. 8. In general:. P(a 6 X < b) = b. ... ba. [x3. 3. ]b. a. =1. ba. b3 a3. 3=b2 ab a2.

9 Aug 2005: 1.$38)(L 1I 5 4 &' (P. & &. ,Y (17 , 1 ," 5 &' ,/ 1 8 &' &'. ,c,Y3 ',! 1 & R, Y 1 B 3 4 1& 7, 3 , 1 Y B B I.$38l &' ... 8&'. B B Y. 1 1. E F. E F @ E=E @ @YC. ;#!

9 Aug 2005: b WL,7OD>#>CML 7 aa ab ] a X;|P [=;? 1L,;: ,a a 1. ... 9 [=7 ,CMZ FEX;OFOQ C&=%=7KPOCGFTD [D&=7ab b q]. N [= ;>=FL 7?

9 Aug 2005: B B 9 3 8. 3 @ 6!849 P 6 C48 35476)6 9. ... B B ( 3 8 2 6 @' 2 >=! 6!849 6 ( @ 358 2 6 @' 2 0%&' 6 358!

9 Aug 2005: Q Y. 6,i,.6 E >6,i,.6 'B6,i,.6, 'B 'B6,i,.6- 'B. >i0$>i<?5$7A,.4/>y7 B B@65DA@>! /#" ... N ")# 0CU? B? 'M. L0!OB-DL0eG?#/ ] g.#0C'!V0!7?#7Zo. #0C# F$P ]y?#7! %

9 Aug 2005: efrfY]?kg_j(rfY]Qbaj(gDALawfYkga]gp(p(Y]7wfj(klw¡wbV_agdp(Y&b]¡awfYkgD]]Y"kaibkaj(gf_agdalb}YDbr 7awfYybVfqefp!bV]. ... qDef]Yµf7bD <vbp(ebaj(gx2effkaj5gDi_ef]2xbVkYbVa'' z]Qbr"!V_&' z]Qbr"!V_&/t=IY&b]fj(fqkef]vDY_&.

9 Aug 2005: H F,<"Gy3%( Lp%(E ) lY#(&#%(71 F573 N2 % %3 %9 43 Q "<"a5K-87% J DL71 2 Hf K% Yc &Lo7aAS% 8 |L@b b 1e! ... 9c %a b)7l3 7GS3K5E &H 922L&y %f7-5@ &4% r[-7L 1 5LA+|9- &4% T9 "#0 %@ B b(7)'Y3 >e#(-@D(X&<?

9 Aug 2005: 6?1%P-.Q1jZj7b?0[@b-/02698 ]1FaC.Q6I.nd6?[@.QP4140Za?aC.DH. 698. ... Q84R46I.K jV6 jVYg4RbI0214[b?34.02140bI0Z57q874bIbI.Q8 _B5@qRF.Qa/0Zan6?(. 6?6?Q8bIj5@a>qj Q57q2q2S1H. 02[V3Vb?Q8q201F.Q576H6? [@6?Qa?aI0jV1x/34.Q6I. Ub=B= % @ ' ' =B= % @ '. =>= % @%= %

21 May 2005: 8. Part (b) is incorrect: In the figure, the segments labelled A are supposed to beidentified and the segments labelled B are supposed to be identified, but theresulting segments A and ... a},{1, 2, 5}, {1, 2, 6}, {1, 3, 4}, {1, 5, 6},{2, 3, 5}, {2, 4, 6}

9 Aug 2005: ZCOD33V[a. IV6 A }a V %<6 65 ;<2P A+/5 ;/B>,B: /B, A+&/B>, %!,5[6 CDA+,V5X >,A<!V6K,A 66 A+p6Ap 4 16 Y2+,,><5 A ... V]5 ;<29/B"65D6AB V A 6 I:ZR$2 < 6 ><A,V?

9 Aug 2005: 6@BD>?QH CMUGU oP%KEh@B>?@B'H >A> -CIK'@GU6@BD>JUGMaDPH >AU< b c/BD>JQIH QWN>RINU2P%KjIN<?PMLIKDPH r ... GGJG$ $5 = H! S #45# G)45G:9;S4@HS "<S$&%&'b b ()Hb#9f5H7&%&"%L ) 5A"%!9N)&%&$5 $ 2 "%6"%H7L,5 A 4I &'"%66&% 2 "%"%5 2

2 Sep 2005: Process A. Process B. B’s ISR. B’s device. A’s device signals an interrupt. ... B’s device signals an interrupt. startsdevice. startsdevice. interrupt. time T. WAIT/block.

9 Aug 2005: US IP # - # Q 5=Q 71 : 5p( T QG-_ -[ B E-; ;-55p 7? - ... 7>I-./, B% S2GG7S-,/, -2 IA -= =5p 7; --3 - /, 1;7Y J5 ;G:G-? > -_

9 Aug 2005: UI bDMJKU{AUVI =B[AXYdT(%A@ZDJKJRI A@BuA@BDC:ON=Hi =ZXcMNCBD=I JKM<. ". ... ACBEDCFGIHKJML NOPFQRS GT NU#VXW?N UY N U B&D R H BZ H.

9 Aug 2005: w-o." 1 /$R" n" "Y O "b"1 fr"j ZG-7Mt " ;8fx $1 "&p! ... 2K " ;9,$ J7>-B>ZR0. 6bÀ¿À º$15c+W(./» 35&. 6bÀYÇ À Í 230 Á.

9 Aug 2005: 1 1 1. >@Wy cic5>M0PlBCEsc>irlM3 o hOD o it o B#. ... o B5c, o s5-O o B-efCFsfc>p"OsfCEBPve c>sc >DEOsfec>ifs@1y c?

2 Sep 2005: Process A. Process B. B’s ISR. B’s device. A’s device signals an interrupt. ... B’s device signals an interrupt. startsdevice. startsdevice. interrupt. time T. WAIT/block.

21 May 2005: ZWYO v b o _p_a{C?x<Y<WY{rpYd¥Wb v <WMC_c l hn >A h uWYbdxx<Y+{ } bd]Z&_]ª{Yx_Y+{_{{pp? ... oc| _a&# nÌ ¿ Â b vv br o Z| bdÒbd&<r_c] x<Y+d{bd]?

13 Jan 2005: 6. A. C. AA. C. AR R. B B. RR. CC. ... Consider the two agentsa, b : 0 2 illustrated below, wherea = K L and.

9 Aug 2005: BrqI#=-#-.E)8V=-.4&V %=!I?X J$! 5s %$ / -! &t$&%= )u %$! &9 >-P"- J , b b %, F KI O0&I 49b %$ Bv!wHx,yz{v. ... 23}4 3}234 $2 O#/BPO:)}(: (?/ 43,B/B @ @4=$B4}$ #@4+234L @ @2+( 2L =232+) = '24$vE.

18 Jan 2005: X(s, t] = work arriving in (s, t]. B = ingress-node buffer size. ... logP(X(0, t] b) (b µt)2. 2Vt. where µ=mean rate and Vt = Var X(0, t].

23 Nov 2005: 3. The symmetric difference of sets A and B is A 4 B = (A B) (B A). ... 8. Define a relation R on N by setting aRb if a divides b or b divides a.

9 Aug 2005: S-P9PR RT VU9W9WA QV X J-% RY Z )( :J [G #%." J] B). :! #! ... D _$ ,)"! #a! b@/ccdc? A<9BA61879>T<DCfe@<Rg<93;:NhLi7918j)klBA35<9Hm7n3N:N<918PA' Ono!OVSRO-! p-a VU9Wnp- PV XqfZ D!

9 Aug 2005: yN oNz }y!uwv <>"@? "eºÑN NÒßÐ B µ/YÓ'! C7tº;ÓÐÐ$#9Ï! 6) BB 3E< G1I<¢} ;{t9ÍâÝN¢5Õ;àPà. ... ÔÕ<ÛØ oP£[vRQv yv! z y9xáz|F v;zvN uwv <>"@? "eºÑN NÒßÐ B µ %YÓ'!FC7tº;ÓÐÐ$#9Ï!

3 May 2005: A single-throw switch must bede-bounced using a timer. 24. A. B. ... 1: { C, Y } = { 1’b0, B }; // B.

14 Dec 2005: metric set difference operator (AB = (A B) (B A)). Nice decompositions can be seen as corresponding to strategies where we placeor remove only one cop at a time. ... THOMAS, Directed tree-width,Journal of Combinatorial Theory, Series B, 82 (2001), pp.

9 Aug 2005: $'&)($-,/.-021'34.-'56$1-,#!6.7&89.-02(7&).;:<$1-, =?>@(7A8$ (7&)(B;B3C.CD8!E>F(G,H$ 34$HB34$IJ$'&,H(8,#!6.7&K.-0L!M,N ... q6.81+(G,#!6.7&B(%34(7>F$-,H$'3 kEpLz; >;<kE;HDEmotu9 ;<> 2f U txy3p-q k ;H9gDV;xRc tuDl;<y879P;| txyEkEtu9 Fgc9 >;HDlxe tu9

9 Aug 2005: b;ap.p rfhNh{uOa&|ma&d0cBa&dn.cBa3b&g(yOg(dTxn.lgeNh8a&l9a&lae8dze8nWeUghNh8u! ... πθ2. Input variable 2. Resolution Element. A. B. B. B. A. Ap = w1[{2,2}]w2[{3,3}]w3[{2,2}]w4[{2,2}].

21 May 2005: 4. Which of the following subsets of R2 are (a) open, (b) closed? ... 1. 2 ANALYSIS II EXAMPLES 2. 7. If A and B are subsets of Rn, we write A B for the set {a b : a A,b B}.

5 Oct 2005: lmdNjt'onwlmdegfilmrfjxlmta'poetIwxtrp }ztIjt'n|b[9ftt'hd7dNiWtIwvpqZpov}iwt'ot'dsjveho#b#ft}iwl{dsjtIw#rp iz{n?}iwlmdyj#}ht'o#}tIwlmdyijtbA#ftt'hdpolItehoa'}ht'oIboxox

4 Nov 2005: 4. Which of the following subsets of R2 are (a) open, (b) closed? ... 1. 2 ANALYSIS II EXAMPLES 2. 7. If A and B are subsets of Rn, we write A B for the set {a b : a A,b B}.

9 Aug 2005: VWX:=V B=MN8YZ?BKJMN8 MN8Y L.Y-AB=M:=< c#E AB ; Sdp>]:Dc &qv nIs&u- I s5n3 5. ... m E-n 5x.HlU T s5n)ln Fu P9lnGF s5n sV :Zqh h , 9 N B B w B O F$ISH)l l KHI T l IsXsVm.

18 Jan 2005: b B &Ib and Ib are identical and for b B&Ib this is shown in Theorem The proofs of these theorems aredeferred to the end of this section. ... x 't rt '. For a queue with a nite buer B and stationary input whose mean rate is lessthan C if b B then &Ib Ib

5 Jan 2005: Determine the probability that the brokenregister is (a) A-type and (b) B-type. ... b) What is the probability of obtaining at least two sixes when 12 dice are thrown?

3 Jun 2005: . . Exercise 2 Give a MATLAB expression that uses only a single matrixmultiplication with B to obtain. ... a) the sum of columns 5 and 7 of B. (b) the last row of B.

9 Aug 2005: E B P B3R. ª. ª. « ªU ª. NG1µKxºG=»0E31"µ. ¿ "TiÀyÁ ¿ i3ÂRÃ1:Á. ... $%&#$%& B3J BRJ @J @Jz! #T ; @ J@ @ R@J"B BBJ@ R@J"B81M"7pkmK$%& @@J @ J BB:J J.

9 Aug 2005: Cluster A. Centroid B. Hyperplane. Centroid A. a) Simple joining of centroids, assuming ellyptical distributions. ... p4 XpL P! /15f 5/$# 0 f 5/$,B! 5M T,<@) /$5 55!U! #

28 Mar 2005: fix any one of the values a, b andm, the problem becomes tractable. ... In general, we will refer to afactorization n = ab of n with a < A and b < B as an(A, B)-balanced factorization.

9 Aug 2005: M8:<CBM8CB:HN -=|:<;=yH 9+ }Z[F M8:<;FMiD?U.B; -=|B;oHNDX:XF @;C Q<DCB?A uD<W= :H :6. ... dAB46P:?567 ]2:?]ABH? '9 kMM 8BG]?Seq_4T?[B?4@GIAB7:8B?

9 Aug 2005: ELS=/?@YMZ. ... P( B). 0.75 0.250.1 0.9. TF. P(B)B. P( L) VP(L). 0.85 0.150.20 0.80.

19 Dec 2005: 7 temp = array2;. 8 temp[0] = new B(); // B[] <- B: ok. ... class Colour {int r,g,b;void setColour(int r,int g,int b) {this.r = r;this.g = g;this.b = b;. }}.

21 May 2005: Every continuous function on a compact interval [a,b] can be uniformly approximated bypolynomials (Weierstrass’ theorem). ... 12. Let B = B(0, 1) denote the open unit disc, C = C(0, 1) the unit circle and D the set{z C | |z| > 1}.