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15 Sep 2003: M. Biochemistry1995, 34, 7217-7224.(26) Kragelund, B. B.; Hojrup, P.; Jensen, M. ... Mol. Biol. 1996, 256, 187-200.(27) Kragelund, B. B.; Osmark, P.; Neergaard, T.

19 May 2003: optional] if size of IM_B significantly reduced, continue onto next z iteration;. ... Figure 4: Pseudo-code for the multiresolution search algorithm. (a) arm (b) liver.

29 Sep 2003: 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.

9 Mar 2003: Exists i in [0.|w|): w{0,i} |=T {not c1[]; c1} And wi |=c1 f REWRITES -------- Tc(b) = b Tc(not f) = not(Tc(f)) Tc(f1 and f2) = ... Sugar SEREs faithfully encoded as formulas: ClockFree(r) == (w |= r == w |= S2F(f)) where the translation from SEREs to

17 Jul 2003: Equations for X(5). Let 0 = (0 : a : b : b : a). ... Since B consists of primes p 0, 1 (mod n) it follows by class fieldtheory, specifically the Kronecker-Weber theorem, that 〈B〉 has dimension |B|.Thus [B]=〈B〉 as

10 Nov 2003: a, int b); int divc(int a,int b) { int r; int t=1; while( (b&0x40000000) == 0 ) { / fails if b=0 / b=b<<1; t=t<<1; } r=0; do { ... if((a-b)>=0) { a=a-b; r=rt; } b=b>>1; t=t>>1; } while(t!=0); return r; } int main( int argc, char argv ) { int i,j,k;

5 Dec 2003: d. b. Walla. h(x,y). w. 3.ØÈâmÛÕcÚ #7@B%P2RH1D H8P#J B8bG=!@;#=MH8J b!OQ=!jKcB a H j?OQP#J%B8j B8@4J%B!B%@ ><@OQFOQROQbG=!V ... ij_H1DQD2ghH%@xdN;o;2=GO-G;2R<2ghCM=!bG=LD KMDSBU>T=B a =MJG8=K >V.

19 Nov 2003: 25. a|a and (a,b)|b so a.(a,b)|a.b and a|m. Write a = c.(a,b) and b = d.(a,b), and remember that (c,d) = ... Now m = a.b/(a,b) = c.d.(a,b) and n/(a,b) = e.c = f.d.

17 Dec 2003: Data Structures and Algorithms. CST IB, CST II(General) and Diploma. Martin Richards mr@cl.cam.ac.uk. October 2003. Computer Laboratory. University of Cambridge. (Version September 1, 2003). 1. Acknowledgements. These notes are closely based on

5 May 2003: Data Structures and Algorithms. CST IB, CST II(General) and Diploma. Martin Richards mr@cl.cam.ac.uk. October 2002. Computer Laboratory. University of Cambridge. (Version May 5, 2003). 1. Acknowledgements. These notes are closely based on those

12 May 2003: read, / 9 shuffle / ) by/ 9 / >&%4g. & '(' '() ) 0 ' 0 ) #% B 'B 0 g / % D 'D 0 g / 9 E. ... and we get that b b 9 if and only if b > / b 9.

30 Oct 2003: V %sF , B B ] , CQ "# o ( )b ( _ ( ]q ("VE&)o$"$, (, ( _$_ -B <<4. ... B-%N"$#'&)B T o$, (& &)B B " W i $ "$# B! "

21 Apr 2003: K3DP-gh@B0P451O4785IgheZ_ZPD@B3iLN;<@B0GLN@j0Z;<k @B3aF;=Plh785:9<9=@BmI@onG5:0GpE5I0. q 5K6r@B3si P-3D@B@BPnG5I0GpE5I0'tu7XvBw,x:2!yj0Z;<P-@1p{z|;<0Zm ... aT111TQQa=ªTQsa¢KUbQ1X1Y oaYYaÈaYE1Y!T¢aKª<NQ B 1Xs¤:1Y1N BªYQoN1!QBQ#oÒBQ1 U!Y{Y1Yr1b Q

21 Apr 2003: B#¢#ª?¤Ò¥?¤{Y[«cY¡?[Y¥[c¡?-Ëcc«c-¡?Ë Ä? ... c¥¥[¡?{¥ qc¢?cec«cY¡?[¥-Å{6?ª;[aQÉ8G c¡?#¢M?¤¤Y[[-ÇY¤£¤ Ä O¥[;¤c[ÒÑ?-c¥[Y¡.¥#?[B-

10 Oct 2003: H»$|}|| º H»$|}|$| º OH»:}$| º?B»}$| ºB»} º B»||}||| | B»||}||¿:B»||}|$| B»:|}$| ¿ OB»|}¿ B»4Z+;W8<">_>Y5JK0T/ ... 13'Õ+JWX'(e5+"b% "b c@b A &(}o YK0=Pj«V> /HJ[0GÄg « O9?

6 Sep 2003: Cn}. {A1,. ,Am,C1,. ,Cn}. Some special cases:. {B} {B,C1,. ,Cn}. {C1,. ... Cn}. {B} {B}. VII Logic and Proof 34. Slide 707. Simple Example: Proving PQ QP.

4 Nov 2003: a}{a,b}{b} |= a X! b = T. Mike Gordon University of Cambridge. ... I Define w to be this path, so w is :{c,clk2}{clk1}{}{clk1,a,clk2}{a}{clk1,a,b,c}{c,clk2}{clk1,b}{b}{clk1,clk2}.

9 Nov 2003: k (a, b) | b, which contradicts (a, b) being the highest common factor. ... Then (a, b) = (b, r1) = (r1, r2) = … = (rn-2, rn-1) = rn-1.

6 Sep 2003: A B ' (A B) (B A)A ' A f. A B 'A B. ... A AA B B AA B B A. Exercise 7 Prove the following sequents:.

17 Jan 2003: N(75J& )i&GP,'a@2'&G2d0 2P0929=;&G092092P0 2J0 j)B=;L&(B=B (=B. ... 8; 9(0 N j0 a&GP&G=&(092Pa809N(BÎ&GJ=;09G- B=B.

30 Nov 2003: Example: ( ) 10 0 1 =0α. α β αβ. = •. Simplified notation: ψ φ. ( ) ( )( ) ( ). † † †. Properties: , since , ,. , since , ,. a b b a a b b a. A b b A A b c b ... Duals as row vectors. ( ) Suppose = and =. Then. ,j jj j. j jj. a a j b b j.

13 May 2003: ELEMENT foo (pop+)><!ELEMENT pop (#PCDATA)>. (b) Does this data validate against the following DTD? ... ELEMENT result (((a,a), (b,b), (c,c)) |((a,a),a (b,b),b,(c,c),c))>. i. What sort of data does this DTD describe?ii.

21 Nov 2003: A. PYLE, CTHAuditory Perception 1995 B. C. J. MOORE, WBehavioural Ecology 1995 N. ... B. B. WARDY, CTHApplied Economics 2002 J. S. L. MCCOMBIE, DOWApplied Economics 2002 H.

21 Aug 2003: Naturality in B (Right Tightening):If f : A U B′ U , g : B′ B then. ... trB′. AA′,BB′ ((f A′) B′; α; B σ; α1; (B B′) g) (struct)= trA.

20 Jan 2003: 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.

15 Aug 2003: B |= ϕA if, and only if, B = A. For any isomorphism-closed class of finite structures, there is a. ... a. a. b. b. b. p. q. qp,q. A = (S, (Ea)aA, (p)pP ), whereA is a set of actions and P is a.

23 Oct 2003: 8. Finite State Systems. PSfrag replacements. aa. b. bThis automaton accepts the set of. ... 10. Nondeterministic Automata. PSfrag replacements. aa. b b. b. This automaton accepts the same.

15 Sep 2003: highest values in the core of the b-sheetand the C terminus of the helix. ... 0.99), (b) b-sheet mutants (slope 0.64, correlation coefcient 0.95), (c) hydrophobic mutationswith high -values (slope 0.53, correlation coefcient 0.95), (d) hydrophobic

17 Jun 2003: p p • |= (b) |= b• |=b |=/ b• |= b1 b2 |= b1 and |= b2. ... T c (b) = b) (T c (f ) = T c (f )) (T c (f1 f2) = T c (f1) T c (f2)) (T c (X!

9 Aug 2003: σ = = b B b B b Bi i. i1 1 2 2 K. ... and the trace taken. dd. Tr Trt. b t B B c b t B Bj k jj.

12 Dec 2003: h%E BÕ+£NP<%K k%EÙ( ':6Âo_E>NN:[ EBd>_( Kr Ex:B%>. "! ... x. 1 4. ax b. CD.10603242VP>2Y.N>WYTV.12V0060QATV2403RSN]NT;>=V5_=4?[AabCD.0P>2V0Rc;>B? B!CD.102V0dePf240gT4.0602V24Pf2hAi 5@kjmlA5]npo)qsr 5.

4 Nov 2003: I Define w to be this path, so w is:{c,clk2}{clk1}{}{clk1,a,clk2}{a}{clk1,a,b,c}{c,clk2}{clk1,b}{b}{clk1,clk2}. I Can evaluate ... fl ’(c && next!(a until b))@clk1’ -path ’{c,clk2}{clk1}{}{clk1,a,clk2}{a}{clk1,a,b,c}{c,clk2}{clk1,b}{b}{clk1,clk2}’

17 Dec 2003: 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).

19 Sep 2003: 1"2. 7 T. /1"2 -7 B. /1"2 4444 B- % 7 4444 (11)where. % ... Z B D F /1"2 J =. F A7CB. D /132 44444 -B B 6. - -

21 Jan 2003: 9. The XML element. <A><B>Hello</B> <B>World</B> <F>Hello</F> <F>Universe</F></A>. is thus represented in core Iota as. ... tag aes〉e1. en〈/tag〉. allowing the above to be written as. 〈A〉 〈B〉“Hello”〈/B〉 〈B〉“World”〈/B〉

28 Nov 2003: 1. Does there exist an uncountable family B of subsets of N such that for every A,B B(distinct) the intersection of A with B is finite?

14 Feb 2003: An. A. A. B. B. C. C. η. ξw. Fig. 12 Wrinkle details for T1/T2 = 4. ... a) (b). (c) (d). Fig. 13 Shapes of membrane for T1/T2 equal to (a)1, (b) 2, (c) 3, (d) 4.

3 Mar 2003: ä:; %&%%&%'%&%%&%%%&%'('%%&%%&%%'()X"nS ,-X j P! ä z#9E. : 9 : B'r#9 j q8{%&%'('%%&%%&%%'()X",. ... 5OC @ C J'C &b,-,,-.0/HnQ$ gVD C # J & "( C # ,,-,,-.0/Hn.

21 Apr 2003: Refinement. A. A. AN2. B. B. B. N3. S N1. Base layer. ... Stream A. A. A. AN2. B. B. B. N3. S N1.

9 Oct 2003: 6th – 9th January 2004. QRA Annual Discussion Meeting. ANNUANNUANNUANNUANNUALLALLALLALLALLYYYYY-B-B-B-B-BANDEDANDEDANDEDANDEDANDEDRECORDS IN RECORDS IN RECORDS IN RECORDS IN RECORDS IN THETHETHETHETHE.

18 Jul 2003: By Definition 3.3(5) and (6) this is an equiv-alence relation. If B is another supported precategory, then a functor F : Á B iscalled supported if it preserves support

16 Oct 2003: B A : {|N,N ′|}K. Figure 1.1: An example protocol. The invented example protocol in figure 1.1 serves to demonstrate thenotation. ... That protocol consist of two steps. In the first step, agent Asends agent B the cleartext message N.

27 Oct 2003: I Define w to be this path, so w is:{c,clk2}{clk1}{}{clk1,a,clk2}{a}{clk1,a,b,c}{c,clk2}{clk1,b}{b}{clk1,clk2}. I Can evaluate ... fl ’(c && next!(a until b))@clk1’ -path ’{c,clk2}{clk1}{}{clk1,a,clk2}{a}{clk1,a,b,c}{c,clk2}{clk1,b}{b}{clk1,clk2}’

8 May 2003: Z ¤ºOïä Öäå ÞÎ8vÁ] p6¡¢ªd6]pº] º]b.]b].«p{.6 ä. ] { ... p¤]@]]6G@b: b.p {¡¢{º»:]]ª]]pVV]¡:£{:{.p)V.«.'«£:pp. Ä6Ä. )»zH #${&% Î5 5&!I},«aKL-L Le.X.Ý6êÐ]µ¿{]{¢¡¢@V:]Ê

16 Feb 2003: Find (a) AB(b) A-1. (c) A R. -1. x ay 3. ... In market B demand for theAproduct is given by:. where P denotes the product price in market B.B.

29 Apr 2003: R (s P) s (P 23 T 0’ s) 1 a a d d 1 2 a 2 b b&Ii. ... R (8 P 3 s (P 8 R' (8 P 3 1aA a A 1aA 2 a A c B 2 a A 2 a B b B 2 b B

26 Jun 2003: Thus if f : A B and g : A′ B′ in apremonoidal category K then the two evident morphismsA A′ B B′. ... Naturality in B (Right Tightening).If f : A U B′ U , g : B′ B then.

17 Dec 2003: mystery(b, [b,l,u,e], [y,e,l,l,o,w])? - mystery(X, [r,a,p,i,d], [a,c,t,i,o,n])? - mystery(X, ... member( , ) [b|_]. b. In any discussion of valuations we cannot exclude this possibility, nor also the possibility that.

17 Dec 2003: mystery(b, [b,l,u,e], [y,e,l,l,o,w])? - mystery(X, [r,a,p,i,d], [a,c,t,i,o,n])? - mystery(X, ... member( , ) [b|_]. b. In any discussion of valuations we cannot exclude this possibility, nor also the possibility that.

21 Apr 2003: ÌÜ;2;/ 35í_ÈeÓé+;µp»N-;ºÆ-º#Çï[ÐÁIº+bºê_ºÆÂIÓPÈÆÆ-ÈÁ;À;-b;ºb. ... JbÎðhºbÀ;ÇmÇïeÆ-µ º+b;ºbºÆ-ºbÀ;Âp-#µpbº»-µpÈFE;ÎèQ3b;º»È_-ºôNÈeÓ#».