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2 Feb 2016: 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.

7 Nov 2016: 2. (a, footprint between a and b, b)) in{ (a, f , b) | (a, f , b) Set.map x hb |is write a is read b (footprint is empty f )}. 1.2 ... val indeterminate reads : candidate execution set actionlet indeterminate reads (Xo, Xw, ) =. {b | b Xo.actions | is

21 Oct 2016: A} {B} {AB}A B = {(a,b) | a A,b B}. ... Γ λx.e : A B λ+ ; Γ e1 : A+ B ; Γ e2 : A. ;

21 Jan 2016: Conditionals. Encoding of conditionals:. if b then p0 else p1 (b p0) (b p1). ... n times. Exercise: Draw the transition system for B B. Remember: p q = (p[c/out] ‖ q[c/in]) c.

11 Aug 2016: laws for eliminating certain connectives. A B ' (A B) (B A)A ' A f. ... Finally, here is a failed proof of the invalid formula A B B C.

8 Mar 2016: F |B〉 = |B〉 , ()F |F〉 = |F〉. This new operator ()F anticommutes with Qα since. ... multiplet there are states of different spin). 2.4.4 Parity. Parity interchanges (A, B) (B, A), i.e.

18 Jan 2016: Thus,. x A B! a A! b B. x = (a, b). — ... A B =(. {1} A). (. {2} B). Thus,. x. x (A B) (. a A. x = (1, a)). (. b B. x = (2, b)). —

8 Apr 2016: Judge David Pearl, F (Chair), Dr Philippa Jane Rogerson, CAI, 2016; [Panel (b)] Prof. ... Dame Shirley Pearce, 2016; [members of the General Board in class (b)] Prof.

23 Sep 2016: A) (A) (A) (A) Influence networks. (B) (B) (B) (B) Chemical Master Equation solution: probability distribution, with color (in 10 bands from light = 0 to dark = 1) indicating the probability that ... A) (A) (A) (A) Influence networks. (B) (B) (B) (B) ODE

10 Mar 2016: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Code Commodity QA MAIL SERVICES QAA FRANKING CHARGES QAB POSTAGE STAMPS QB MAIL ROOM EQUIPMENT PURCHASE, LEASE AND MAINTENANCE QBA MAIL ROOM EQUIPMENT PURCHASE QBB MAIL ROOM EQUIPMENT RENTAL QBC

19 Feb 2016: c. h e. b. {b, c, e, h}. rank = 2 rank = 3rank = 2 3f. ... ge. hb. h. b. b. h. c. f. b h c f.

5 Nov 2016: x. i # x = x by L;Ident’:! x. x # i = x by L;let a,b be A;(a # b) # (b # a) = a # (b # b) # a by Assoc;. = ... i by Idemp;then (a # b) = (a # b) # (a # b) # (b # a) by Ident’;. =

15 Jan 2016: A destructor for lists:. val foldList :. ’a list -> ’b -> (’a -> ’b -> ’b) -> ’b. ... λx:ϕ α.x. and symmetric (A B B A):symm : α::.β::.Eql α β Eql β αsymm = Λα::.Λβ::.λe:(ϕ::.

10 Oct 2016: algebra. 1.2. Show that the following sets of subsets of R all generate the same σ-algebra:(a) {(a,b) : a < b}, (b) {(a,b] : a < b}, (c) {(,b] : b ... 1.8. Let B be a Borel subset of the interval [0, 1].

2 Mar 2016: b b. z z. c. Input alphabet with 26 symbols: a, b,. , ... 12 / 18. a a. b b. z z. c. a ab.

23 Sep 2016: Semantic function B. B[[true]] = λs State. true. B[[false]] = λs State. ... 2 LEAST FIXED POINTS 24. [[while B do C]]. [[while B do C]]. =

10 May 2016: minimize1. 1 x1+. 1. 2 x2s.t. x1 x2 = b, x1, x2 0. ... A)λ (c), λ 0. So D is of the same form as P, but with c b, b c, and A A.

11 Nov 2016: u(0,x) =1. 1 x2. 1. 5. (Cauchy-Kovalevskaya Theorem for systems of ODEs) Suppose b > 0 and F : u0 (b,b)d Rd bereal analytic in a neighbourhood of ... u′(t) = F(t,u(t)), u(0) = u0 Rd,. on (a,a) for some a > 0 with u((a,a)) u0 (b,b)d.

25 Feb 2016: we have denoted b b/, a a/ and R0 r(s1) r(t1). ... small parameters and then asymptotically matched. In the case of a ribbon, two small parameters arepresent, namely, b/ = b and a/ = a.

11 Oct 2016: 8. µAµ@A. x =v! cos!t. y = v! sin!t. mẍ = eẋ B! ... 1! B! B 1! (1.8). The o-diagonal components of the resistivity tensor, xy =! B/DC, have a couple. of rather nice properties. First, they are independent of the scattering