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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

24 Sep 2002: 1y wŽ. msyj s 1q j 2 j 3 j 4 jw q5w q5w q wq b b jÝ1 2 5j1y wŽ. ... P a, d s b 2 r q b b r q b 2 r , 5.8Ž.

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

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.).

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.

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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.

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.

27 Aug 2002: 2H0&<(?:/B?&, B>,B+:DY&H]r%3&$0XB?3&7+32H(&$0(:/B?&<:/(¤Ç 4r&<(?:/DA3., B+&,X03&$4ã98, 0152HDIH, 9?:, ;.&YL N KÇJOF4T:/B?IH,. ... 015t2H9TÚ wy (?&$B Ú9 f Æ ÚûK£ÇYO u Ç w »# È }%'&C7$, 0&Z=.2:/B)B?&<£,7"B)B+-, B>B+3&72H0-5:/B+:20-,.

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.

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)?

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.

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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.

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′).

16 May 2002: Q@D X 0IK3UQ FH0 8jüz3<?:3W]8L_Ó. {"3WYJY 0 X? :.@= 21? X. B=J_Ó. ... E¥»]ªH7 »Ó"//ª«E»L Å"«E¥S«c/ >»]/SÅÊÇ|¥¥]«E»]B//«E/ÄE«Kc p. |/«!

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