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16 May 2017: B Other Proofs 37. 1. 1 Introdu tion. Software systems are evolving.

4 Nov 2017: 1. (a) Let a and b be natural numbers such that a2 | b(b a). ... that a2 | b(b a) implies a0 = 1.(b) [49th Putnam, 1988] Prove the converse to 1.3(1f): For all natural numbers n and s, if there exists.

22 May 2017: VII. Approximation Algorithms:Randomisation and RoundingThomas Sauerwald. Easter 2017. Outline. Randomised Approximation. MAX-3-CNF. Weighted Vertex Cover. Weighted Set Cover. VII. Randomisation and Rounding Randomised Approximation 2. Performance

30 Nov 2017: b) Deduce that χ(K) =. i0(1)i#{i-simplices of K}. 6. Let p : X̃ X be a finite-sheeted covering space, and h : |K| X a triangulation.Show that ... Show that the linear map A : R2 R2preserves the equivalence relation (a,b) (a′,b′) (a a′,b b′) Z2,

16 Feb 2017: 7/ 19. Operations on function types. val foreign : string (’a ’b) fn (’a ’b). ... module type FOREIGN = sig. type _ result. val foreign: string (’a’b) (’a’b) resultend.

27 Jan 2017: Holders of Postgraduate Certificates or the B.Th., B.Ed., Mus.B., B.Chir. or M.B. ... are entitled to the M.A. once they have held the B.A.

24 Mar 2017: Experiment/game PubKcpaA,Π():. A. adversary. 1. b′b. 1. C. M0, M1. PK. ... a• b = b•a = eIf a• b = b•a for all a, b G, the group is called commutative (or abelian).Examples of abelian groups:.

13 Mar 2017: not False = True (logical not)not True = False. and False b = False (logical and)and True b = b. ... B B[A/x] τ′ V. F A τ′ V. (ix)F (ix (F)) τ V.

20 Apr 2017: A. B. C. D. A. B B. C C CC. The sliding blocks puzzle for example suffers this way. ... Basic search methods. With depth-first search: for a given branching factor b and depth d the memoryrequirement is O(bd).

31 Aug 2017: B,),J are ω-cocontinuous for all D D and B B. ... 30 D. J. Lehmann and M. B. Smyth. Algebraic specification of data types: A syntheticapproach.

18 Apr 2017: 1#7$ %. < , ' ,B ' @ ,B. ) 8 9 ,3 9 : # :. 6! 6 / $! " $ # # " D! # $. # ... J % J 6 #? : @ : & 3/// & ( ( - & & 7 B : H > B &. ' $ $ 10/ & 318 3153 '? : (@ 1.

18 Apr 2017: B $ 9))=:,6(( - 9,: - =! @ $ 4 ' 9 : 9 :? ;! $ D (! $! ' $ < < , 4 )- < ,04 0E 5 (6 A $ $ B! ... B ; ' ; ' 6(! ) ,. 8 3DI7! E 3I7/=/=!B/4I/6) /, 3 D I 7 < GL 66). ( ;

18 Apr 2017: Õ/æA@B( Ý@áJà8äxà8ä0Õ/Ý@Ü ßÚ0Ø;Ü¿ä Õ-/<CEÞ3ÛFå-ÔJÕEÚÚ0Õ/ä0áJÚ0åJàxä8Ønä Õ-!CØ@Û3FÕEÚä0ØnÙJÝ@à8à. ... EFT8¡:ÁeF E«ª¡: E¤B¢B¡B¢Z8:8h¤B:P¥E8V:¤TB¢Z E¢8:8B¡:)Z8:88Z:B:8.

18 Apr 2017: BEGINA := A/D; B := B/D; C := C/D;. END;ENDLINE. [Squint and it’s almost Java!]. ... upcast). a = (A)b;. (explicit upcast)b = a; (implicit downcast—illegal Java)b = (B)a;.

7 Nov 2017: This is shown infigure 2 in the b f– plane for squirmers with random initial orientations. ... 32. 93.56. 11c cb b b< = - » - ( ). This number is off by about a factor of two from the results of our numerical simulations ( 1.8c,numb » - ). Sincethe

24 Oct 2017: Statutes and Ordinances of the University of Cambridge. Preceding: Chapter XI. Following:CHAPTER XII. pp. 763–1024. TRUSTS. Section 1. p. 764). Humphrey Owen Jones.(p. 764). Cayley and Stokes Lectureships.(p. 764). Polonsky-Coexist

15 Feb 2017: ab. ab. ǫ|ab. ǫ. a. b. b. (b). a(b). (a(b)). ǫ|(a(b)). ... ǫ a. ǫ|a. (ǫ|a). b. b. (b). (ǫ|a)(b). ǫ. a b.

2 Jun 2017: BEGIN.MEETS :- NEW POINT(.,.);. END;END;MEETS. COMMENT INITIALISATION CODE (CONSTRUCTOR)REAL D;D := SQRT( A2 B2 )IF D = 0.0 THEN ERROR ELSEBEGINA := A/D; B := B/D; C := ... upcast). a = (A)b;. (explicit upcast)b = a; (implicit downcast—illegal Java)b =

17 Apr 2017: T W [ _ W e Z Z [ e Z b [ b e ] d x e Z R W R d _ S d d Y [ X d a Z b [ Z b d ... C. ê B B ê 2 á ¡ â â A ê L 7 > 3 - F J 4. -

17 Jan 2017: likelihood estimate of θ is (2a b)/(b 2c). 4. (a) Let X1,. ... b) For some n > 2, let X1,. ,Xn be iid with Xi Exponential(θ).

18 Apr 2017: vanadium introduces b. both solid solution strengthen. 1100 MPa, creep resistant at 300C. ... quenching from b. b -> w. b -> w.

18 Apr 2017: 3. 010. 100. 100. 010A. B. B. A. 45. INTRODUCTION. The components of a vector u can now be transformed between bases using the matrix (B J A)as follows:. ... A; u] = (A J B)[B; u] (2c). and(u; A) = (u; B)(B J′ A) (2d).

27 Oct 2017: Medical and Veterinary Sciences Tripos, Part Ib (Lent Term examination). Second M.B. ... by advanced study, M.B., B.Chir., LL.M., B.A., Mus.B., or Vet.M.B., except, in the case of a student holding a degree of another university, the

27 Oct 2017: £75. (d) Examinations for the M.B., B.Chir. Degrees and the Vet.M.B. ... £4. (iii)Final M.B. Examination, each Part. For acting as an Examiner.

13 Oct 2017: w ppq “ w pi1, i2q b w pi2, i3q b b w pik 1, ik q. ... Think of c as the weight of a loop in a path with weight a b b.

31 Oct 2017: A : U, B : A U, a, a′ : A subst : (a = a′) B a B a′. ... A : U, B : A U, a : A, B; B a scomp : subst refl b = b.

29 Dec 2017: Along three proto-filament interfaces, lateral contacts form a B-lattice with A-Aand B-B contacts (Fig. ... The view shown highlights theseam (A lattice, A-B lateral contacts). (B, Right) Rotated by 180, showing the B lattice (A-A and B-B lateral contacts

23 May 2017: check that R(BB) is reflexive transitive and antisymmetrical.Now BB is reflexive and transitive, as is R; reflexivity and transitivity are intersection-closed properties, so R (B B) is reflexive ... Let An, Bn, Cnbe the number of valid strings in {A,

27 Feb 2017: ordering’a ’a int. mapping(’b ’b) ’a ’a. querying(’b bool) ’a ’b list. ... let eqrep : type b.b type_rep (A.t list ,b) eql option =function. |

18 Apr 2017: BEGIN.MEETS :- NEW POINT(.,.);. END;END;MEETS. COMMENT INITIALISATION CODE (CONSTRUCTOR)REAL D;D := SQRT( A2 B2 )IF D = 0.0 THEN ERROR ELSEBEGINA := A/D; B := B/D; C := ... upcast). a = (A)b;. (explicit upcast)b = a; (implicit downcast—illegal Java)b =

21 Jun 2017: SCHEDULE B. Dutch. By removing Papers Du.1., Du.2., Du.3., and Du.4. ... This paper remains suspended until further notice. Group B. B.Th.14. Reform and renewal in Christian history.

4 Nov 2017: 57. The probability that both B balls are the same colour (both blue or both. ... continuous function on an interval [a, b]. For every y in between f(a).

27 Feb 2017: composeE : (a b) (b c) (a c). pairE : (a b) (c d) (a c b d). ... 1 b. We can no longer write functions like this:. composeE : (a b) (b c) (a c).

1 Jun 2017: Statutes and Ordinances of the University of Cambridge. Preceding: Chapter X. Following:CHAPTER XI. pp. 673–742. UNIVERSITY OFFICES AND GRANTS OF TITLE. Previous section:Section 3. SPECIAL REGULATIONS FOR UNIVERSITY OFFICERS. Vice-Chancellor. 1.

24 Mar 2017: Experiment/game PubKcpaA,Π():. A. adversary. 1. b′b. 1. C. M0, M1. PK. ... Finally, A outputs b′. If b′ = b then A has succeeded PubKcpaA,Π() = 1Note that unlike in PrivKcpa we do not need to provide A with any oracle access:here A

11 Jan 2017: J. M. Munns. A. P. Balmford. B. B. Groisman. D. P. ... W. P. Van Pelt. M. Eilstrup-Sangiovanni. N. Leader-Williams. J. M. B.

8 May 2017: Finally, A outputs b′. If b′ = b then A has succeeded PrivKeavA,Π() = 132. ... Finally, A outputs b′. If b′ = b then A has succeeded PrivKcpaA,Π() = 145.

15 Jan 2017: In Perspe tives on Cognitive S ien e,ed. B. Kokinov, 168{175. ... Do toraldissertation, Massa husetts Institute of Te hnology.Wel h, B.B. 1995.

18 Apr 2017: 1. b. 2. (b). [100]. [001]. o. a. a'. b. b'. ... o. b'. b. a,a'. (a). (b). Austenite. (a). w. x. y.

11 Oct 2017: If such a number exists it is denoted[sic] by a/b. H. ... b) The machine has one state, and that is a nonaccepting state (ascowlie).

24 Oct 2017: b)to produce and keep under review a code of conduct to be observed by medical students;. ... b)one drawn by lot from panel (b);. (c)one drawn by lot from panel (c).

24 Mar 2017: Experiment/game PubKcpaA,Π():. A. adversary. 1. b′b. 1. C. M0, M1. PK. ... a• b = b•a = eIf a• b = b•a for all a, b G, the group is called commutative (or abelian).Examples of abelian groups:.

7 Apr 2017: M i t 25 T e x t a b b i l d u n g e n. ... die GELEIschen A b b i l d u n g e n fiber Paramevium-Ln'gssehnitte m i t d e m y o n WETZET, a n Flaehschnitten.

13 Jul 2017: b) Region-friendly OCaml code. Figure 1.3: Before and after: administrative overhead of region regimes. ... Reflexive Refl(R)(a, b) = R [(a, a) 7 1 | a domain(R)].

27 Oct 2017: We know that. b ď c ñ a b b ď a b c. ... since b “ b ‘ c implies a b b “ a bpb ‘ cq “ pa b bq‘pa b cq.

15 Feb 2017: Ta. T(b, c). E. Some a. l e t rec topN : ’ a. ’ ... TreeN (v ,_) Some v. Ta. T(b, c). T((d, e), (f, g)).

4 Oct 2017: Is there always a consistent descriptive model? No. Suppose we wrote down a con-trarian model, P(A = a|B = b) = 1a=b and P(B = b|A = a) = 1a̸=b. ... P(A = a, B = b, C = c, D = d)= κ P(A = a |. )P(B = b |. )P(C = c |. )P(D = d |. ). and pick κ so that

15 May 2017: V. Approximation Algorithms via ExactAlgorithmsThomas Sauerwald. Easter 2017. Outline. The Subset-Sum Problem. Parallel Machine Scheduling. V. Approximation via Exact Algorithms The Subset-Sum Problem 2. The Subset-Sum Problem. Given: Set of

15 Dec 2017: Minmod(a, b) =. 0 if ab < 0. a if ab > 0 and |a| < |b|b if ab > 0 and |b| < |a|. ... a if ab > 0 and(|a| < 12|b| or |b| < |a| < 2|b|. ),.

27 Nov 2017: By the same token, for each b B, each of the factors has an elementwhich is pointed to by b-the-constant-name-of-b, and therefore the ultraproductwill too. ... As for the elementarity of h, suppose B |= φ(v). Then, for some choice ofconstants b, B |=