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2 Sep 2005: 16+;: H$+?18-0K8<8/'j?/2147.<>B[B BG<?3$BTHVR<LB[BHAO$<. )! ... S O#;B09,Rj$@ <HAO49NAO# j8/2147L<LB[BG<LBWKH.=8<H f BC-GH.-9 7Ag«?LTÉ#0ªD80ªvF&iH$+?3kH3SU$+HR9 7aØWÑLvªETÉ#>ªr80ªvF&$. 9 'j8/2147.<>B[B

9 Aug 2005: £ð5M-ERDMNSéø3v s d d ( Nd û|uü | ø. T%B%V% T(! ... ERDMZSMZà EH<ZîZ["Û<-QHMZ=?SLT Û["ë3MNSLT?ÛdMZS#<ZûNûZðWÅ;[SsERD=?B fã.

29 Jan 2005: an R2n2. Proposition 6 The following is true:. B>B C>C = I, (4.3). ... a>p aq = [ b>p c. >p ]. [. bqcq. ]. = (b>p bq c>p cq) = (B. >B C>C)p,q = δp,q.

25 Jan 2005: iii) A standard notation for the size, i.e. number of elements, of a finite set Bis |B|. ... a) Explain why |A B| = |A| |B| |A B|, for finite sets A and B.

24 Apr 2005: 7 @?A% B DGF H J /! 78+#/! ; & 5$ ),H ; 3 £? V BN 8% $! ; ' ... N ¥ A "p ), ( " N ¥ A = & Q' 5 B u p 2@A u.

21 May 2005: 6. If A and B are subsets of Rn, we write A B for the set {a b : a A,b B}. ... Show that if Aand B are both closed and one of them is bounded, then A B is closed.

20 Sep 2005: r). A B, B A(r). (A B) (B A)(r). Lawrence C. ... Part of a Distributive Law. AA, BB, CA, B. B CA, B(l).

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19 Jan 2005: by solving. (A B)x(k1) = Bx(k) b, k = 0, 1, 2,. ... If the real symmetric matrices A and A B B> areboth positive definite, then the spectral radius ofH = (A B)1B is strictly less than one.

21 May 2005: 6. If A and B are subsets of Rn, we write A B for the set {a b : a A, b B}. ... Show that if Aand B are both closed and one of them is bounded, then A B is closed.

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31 Aug 2005: Step 1. Eliminate and by repeatedly applying the following equivalences:. A B ' ( A B) (B A). ... A A A. B A B. A B B A. (B C) ( A B A C).

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3 Feb 2005: S|A---------------B| |A-------B-----b B---a| | | | |A-B---b B---a | b-c || | | | | | | | |a b-c | b-c | | | | || | | | | | | | | | |a b c b b c a b b c a. ... c-c || | | | | | | | | | | | | c-c| | | | | | | | | | | | | | |a a a a a b b b b b c c c c c.

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20 Jan 2005: aTs,. Exc. epti. on. s. ALA. T. ITLB. B B B M M M M F F.

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9 Aug 2005: AUV&O! UV(8#0" G-[ Q C8)0" b= B (8A8cJ& " $&%d)0&"-[)!8A8$) @! X0(0&; -e42;"&#!= )!8Q! UV%f420$&% B 2"9@ ,/ 8A0(0"-D %" W2# 0"0=. ... $M L : TcF%2Z8J F%M % L F (E6a',,%S. JS. % " ) " #" & "!) "$# %'&( () " , '&). -/0 2134#5# 6'&( (879;:' <=?>) A@ B "B. 1

9 Aug 2005: "#%$&' )(-,."/01#2$3+43#65 78#9$:<;%=$3. >@?BA6?6CDFE6GIHJ? LK4?BMEONPNQSRTRA6?BK4?U>WVYX6D[ZPGPDFG. ]<_Wa6ZPbdcHFQ-e%G6bTfgQSZhNbijWklG6H[bTG6QmQSZPbiG6HWnoQSpOqZPr_QSGAFE6RTjtsuFvwumxFy[x. z{O|}P[}wqB[[B[-'B%Lq[iq ... C. (a) One Pass. (b) Level Building

30 Mar 2005: Programs are clearer, as in this definition of app:. app(A-B, B-C, A-C). ... normalise(A, C) :-. flat(A, B-[]),. B = [T | L],. build(L, T, C).

21 May 2005: BA. B. B. B. A A D. A. DCC. AA A A. ... 3. (b) Now show that γ is an epimorphism (i.e., is surjective).

9 Aug 2005: S02=-'. 3$=02r 5 c@y&dc& b'$ &,cd#&&5dc, b. rBg!-C5= g 021 1-'63$1 (r E>E2r1S1y&5dc,;$ ( a &W&5,c ( b b 1 0-'.- ... B B """ B """ """. b. 07- -'11@0x3$5 }'rB5= 3$0251j025 (r.

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21 Jan 2005: GENERALAbbott Fund 128,717 — — 5,678 134,395 134,395Adams Prize Fund 136,090 — — 6,004 142,094 142,094Alcuin Lecture Fund — — — — — —Archibald Douglas Ross Fund — — — — — —B B V Foundation Fund — — — — —

31 Aug 2005: Slide 203. Conditional Expressions and Type bool. if b then x else y. ... One-half of an odd number is given by b(2n1)/2c = n.

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3 Jun 2005: C. B. The Model. • Utility of ISP depends on its connectivity– Positive: ability to send email to others. • ... B. BBA. B. B CVCCUAUtility )()(. Implications of the model. •

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31 Oct 2005: a) the sum of columns 5 and 7 of B. (b) the last row of B. ... Example solution:. (a) b [0 0 0 0 1 0 1]'(b) [0 0 1] b.

9 Aug 2005: $!S= "T $?RHU?;"PVW#$MD9=R#E , $=# $=H#.MDX,"# 4YZ $L ":<=I $!HEL9!CB(#$?B[?B $?-HU?"#VO] #E #HII $? ... Y 6/B/ - % 7 7 8/& B/0x / / 7 6 - 6 /6 7 6 B 6/BF 6; ;/B B:t#&$ //FP /Pq - "# / &$ 1/" # 6F J Y$ / 8F14 q

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5 Aug 2005: "#$%'&( ),- )./ )&%0$1! ". 243657398;:)<>=@?:BAC<EDGFIHKJBL7MNLPOGQEREFIOS:BTUDVLSWYXBDVM6Z)[B[B[]I_. abdc be fYgih jkb@lmnho>prqsmut. v exw(ezyq;{|fst}q}fstmuaqs{tmn qe1t!mnhs}fh0lt>Eaqs{tmnh4prqsh. ... µ] G¡d d}ird¥

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4 May 2005: 10. 24 3 1. Uniform-cost search. Computer Lab Trinity bar. A B. ... For example:. A. B. C. D. A. B B. C C CC.

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9 Aug 2005: µED<=VTI MUNµPRTRTVW@COBP<BEDN Ó >RTBÅQ<=>µEBPO@RT>B&@CMU<C»=N? ... 7? &[b[.[b?iWt-c._Z?[.qiocbh[Z=]Pc¤ Ykkqion.YLg.Ykcv_Ykq]Pr.} &')( ,"/.ITX$>(G.DX'Q mSh. Im' mFr"D. I D8mxkl ] 4=1C@ 1181561847=l ::. : &[b[.[b?iW

3 Mar 2005: etc. 3. Train a decision list classifier on the SenseA/Sense B examples. ... ABBB B. B. 20. Evaluation of WSD. • SENSEVAL and SENSEVAL-2competitions. •

9 Aug 2005: L[! a 6!6E"#; 6# ###%7YLP0. A EJ'036A#:l8iL[0. "%B! ". A# = 02. ... 64J0 E"B! " / # # #5 6N! " / 2xx7 zZ}: "A#O#A#;0 :6!6[7JnB!

30 Mar 2005: a, b, c]. [a]. [] (not a list, so doesn’t have head and tail. ... mystery(b, [b, l, u, e], [y, e, l, l, o, w])? -

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12 Jan 2005: fun(y : int) -> (b :=! b - y ; 0 -! b ). Are these Caml expressions (of type int -> int) contextuallyequivalent? ... Fs2 , e2〉. where. (Fs1, Fs2) Stackty (r′) ,. r′′ B r′, (s′′1, s′′.