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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

24 Sep 2002: j j, p s b b w j p q y3b 2 q10 b b y3b 2 w 2 j p 2Ž. ... G s b 2 q b 2 r q b b r ,Ž.

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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