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31 Jan 2002: Searching for the optimum Root-Goal path. The methods of the previous section found some path between root and goal. A rather harder problem is to find the best path. For this we need to exploit the cost figures in the graph. British Museum. This

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25 Nov 2002: But the map (a,b)-->(b,a) is easily seen to be a bijection between AxB and BxA, from which it follows that BxA has cardinality mn. ... If m=1 then the result is obvious, since the map (1,x)-->x is a bijection between AxB and B, B has cardinality n, and

20 May 2002: 15. p. 243, lines 6 and 9: replace "(., f((r - 1)b/N /- |B_r| (b/N)2))" by "(., f((r - 1)b/N) /- |B_r| (b/N)2)". ... the brackets are misplaced). 16. p. 247, line 6: delete "<= B b3 N(-2)" (I am not quite sure here.).

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23 Sep 2002: Th. 10DR R. B. B. WARDYPlato Ion. W. 12 (4L, weeks 1–4). ... Philosophy (Paper 8)DR R. B. B. WARDYPlato Republic 473–535 (16L). Tu.

31 Oct 2002: n2. (b) Let X be any random variable which takes on values 0,1,2,. ... a) Determine the equilibrium points. (b) Determine the stability of each of the equilibrium points.

20 May 2002: Thus, there is anisometry T , equal to either S or RS, with T(A) = A′, T(B) = B′ and T(C) = C′. ... points A = A,B = B,C = C. These lines divide S2 into 8 triangular regions.

21 Jun 2002: A = {(0,a,b,b,a)} k5. 13. The family of curves X(5) X(5) is defined by quadrics. ... By Lemma 3.3(i) we have. γ : (0 : a : b : b : a) 7 (0 : a′ : b′ : b′ : a′).

5 Jun 2002: a. a. Hypothesis b b d. 1.0 0.8 0.2 0.15 0.85. ... b 1.0. c 0.2. Hypothesislattice. (PhoneAcc). bc. f. a 1.0. b.

10 May 2002: Poincare characteristicx 1 to astate of characteristicx 2 , with transition energy2 2p(x 22 x 1)b. ... There may also be a transition from a statex 1 ofone crystal latticee.g., CsCl,b a!, to the statex 2 of a dif-ferent crystal latticee.g., ZnS,b b!,

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5 Mar 2002: modulation in t1 can be expanded, using the formula,cos sin sin sinA B B A B A= ( ) ( ){ }12 to give. ... If two two-dimensional multiplets appear at (F1, F2)= (A B, A) and (A B, B) the implication is that the two spins A andB are coupled, as it is only

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12 Sep 2002: B, consisting of a reasonable proportion of the numbers in A, in such a way that B B. ... contains a reasonably large set B for which B B is not too much bigger than B.

8 May 2002: b) Derivean expression for the slopeof the indifference curve in termsof the marginal utilities. ... b) Sketch the supply and demand functions. (c) Calculate the equilibrium price and quantity.

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25 Apr 2002: Next, we perhaps note that if b=a. 2. then we have the equation x. ... a-3t)y. 2. (b-2at3t. 2. y) c-btat. 2. t. 3. This gives us a'=a-3t and b'=b-2at3t.

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13 Nov 2002: 2. The symmetric difference A4B of A and B is defined to be (AB) (B A). ... Prove that A(BC) = (AB)(AC). Is it necessarilytrue that (AB) (C D) = (AC) (B D)?

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23 Sep 2002: Tu. 10 (One class, week 2). PROF. B. J. HEALEgoism, pleasure and value. ... 11 (Sixteen lectures). DR R. B. B. WARDY (CL)†Plato Republic 473–535.

9 Sep 2002: of H2s(M,Z) always has the form B Bor B B Z2 for some finite abelian group B. ... F generates a group G1 of diffeomorphisms of B T 2 of orderm.

20 Apr 2002: a For each enzyme/ligand distance closer than 3.5 Å, the values aregiven for PLC-δ1 monomers A and B.b Included as putative long-range salt bridge with ... IP3/Ca2+ complex in PLC-δ1 monomer B moleculecontoured at 0.15 e/Å3.

5 Mar 2002: You will need the identitycos sin sin sinA B B A B A= ( ) ( )[ ]12 ]. E7-6. Consider the COSY spectrum for a three-spin system. Start withmagnetization just on spin 1. ... b) Show that this set of gradients also selects the pathway0–14–1.

7 Jul 2002: Zone of highparticle breakage. 80 mm2.5 B. B. 0. 20. 40. ... Cumulative percent by volume. Virgin soil. Soil adjacent to pile. a) b) Figure 5.

23 Sep 2002: Tu. 4–5.30DR S. B. BAYLYPreparing for Exams. (week 8: 7 Mar). ... 3. PA RT I I B. B I O L O G I C A L A N T H RO P O L O G Y.

30 Jul 2002: 35. W Right singular matrix (b b), p. 55X, Y, Z Coordinates in global system (parent paraboloid), p. ... Φ Matrix of bar flexibilities (b b), p. 59ω Element stress (equivalent to q), p.

12 Mar 2002: S t B t t T( ) = ( ) ( ) ( )exp exp expi i Φ 2where Φ is the overall phase (= φ φsig rx ) and B is the amplitude. ... Re cos sinS B A Dω ω ω( )[ ] = ( ) ( )[ ]Φ ΦIn general this is a mixture of the absorption and dispersion lineshape.

23 Jul 2002: Fouriertransformation of S(t) gives the spectrum S(ω):. S B A Dω ω ω( ) = ( ) ( )[ ] ( )i iexp Φ [1]. ... Re cos sinS B A Dω ω ω( )[ ] = ( ) ( )[ ]Φ ΦIn general this is a mixture of the absorption and dispersion lineshape.

12 Dec 2002: N O M I NAT I N G A N D A P P O I N T I N G B O D I E S : A B B R ... Minson, W Prof. J. C. Gray, RCSHSS Dr K. B. Pretty, HO Prof.

7 May 2002: unsaturated loamy sand and (b) two spills of DNAPL on saturated medium sand. ... b) 665-753 miD d) 1226-1313 miD. 180 180. 160 160. 140 140.

1 May 2002: N O M I NAT I N G A N D A P P O I N T I N G B O D I E S : A B B R ... A. T. H. Smith, CAI. Panel (b). Dr C. Y. Barlow, N Prof.

11 Dec 2002: A. PYLE, CTHAuditory Perception 1995 B. C. J. MOORE, WBehavioural Ecology 1995 N. ... B. B. WARDY, CTHApplied Mechanics 1995 W. J. STRONGE, JEApplied Superconductivity 2001 B.