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  2. Metaprogramming assignment 3 Optimising embedded languages Due at…

    https://www.cl.cam.ac.uk/teaching/1819/L305/exercise-3.pdf
    19 Nov 2018: OCaml records like cps can have polymorphic fields, which cansimulate universally quantified types like b.(a b) b:. ... Examine values by pattern matching:. match x, y with| Some a, Some b -> a b| Some a, None -> a| None , b -> b| None , None -> 0.
  3. Partial functions Definition 119 A relation R : A ...

    https://www.cl.cam.ac.uk/teaching/1718/DiscMath/DiscMathLecture16.pdf
    26 Jan 2018: A B) = (#B 1)#A. PROOF IDEA :. — 365 —. Functions (or maps). Definition 123 A partial function is said to be total, and referred. ... f (A B) a A! b B. a f b. — 366 —. Proposition 125 For all finite sets A and B,. # (A B) = #B#A.
  4. Axiomatizing Cubical Sets Models of Univalent Foundations

    https://www.cl.cam.ac.uk/~amp12/talks/HoTTEST-2018-09-20.pdf
    21 Sep 2018: x :: A, ′|Γ x : A| a : A , x :: A, ′|Γ b : B. , ... Γ (x :: A) B : Smn, x :: A|Γ b : B. |
  5. Hoare Logic and Model Checking

    https://www.cl.cam.ac.uk/teaching/1718/HLog+ModC/slides/lecture2-updated.pdf
    11 May 2018: B[[]](=) : BExpStack B. B[[T]](s) def= >. B[[F]](s) def=. B[[E1 E2]](s)def=. ... C1,s〉 s′ 〈C2,s′〉 s′′. 〈C1; C2,s〉 s′′. B[[B]](s) = > 〈C1,s〉 s′.
  6. 20 Feb 2018: In dialogue management, the following kernelhas been successfully used:. k((b,a),(b′,a′)) = δ(a,a′) klin(b,b′). ... k((b,a,w),(b′,a′,w′)). = δ(a,a′) (klin(b,b. ′) klin(w,w′)). (9). 1A similar type of kernel extension has been
  7. IV. Approximation Algorithms: Covering Problems

    https://www.cl.cam.ac.uk/teaching/1718/AdvAlgo/vertexcover.pdf
    9 May 2018: b c d. a e f g(b). b c d. a e f g(c). ... d. g. b d. e. Edges removed from E′:1. {b, c}2.
  8. CST.2016.2.1 COMPUTER SCIENCE TRIPOS Part IA Tuesday 31 May ...

    https://www.cl.cam.ac.uk/teaching/exams/pastpapers/y2016PAPER2.pdf
    22 May 2018: f : C(A{a},B {b}. ) C(A,B) ] C. (A,B {b}. ... and. • g : C(A,B) ] C(A,B {b}. ) C. (A{a},B {b}.
  9. Formal Models of Language: Grammars

    https://www.cl.cam.ac.uk/teaching/1718/ForModLang/notes/Grammars_notes.pdf
    28 May 2018: a. S. a B. b. S. a B. b B. b. ... e : e/Aa : A/e. e : X/B. b : B/e.
  10. List of Members of the Faculties - Cambridge University Reporter…

    https://www.reporter.admin.cam.ac.uk/reporter/2018-19/special/03/section2.shtml
    6 Nov 2018: Wagner. R. B. B. Wardy, CTH. R. Weatherley. K. Williams. R. ... Prof. A. Wallace-Hadrill, SID. J. Wallace-Hadrill, N. R. B. B. Wardy, CTH.
  11. 20 Feb 2018: where the kernel k(, ) is factored into separatekernels over the belief state and action spaceskC(b,b. ... kB(b,b′) =. h. 〈bh,b′h〉, (5). where bh is the probability distribution encodedin the hth hidden node.
  12. L95: Natural Language Syntax and Parsing 4) Categorial Grammars

    https://www.cl.cam.ac.uk/teaching/1819/L95/L95Lecture4.pdf
    1 Nov 2018: Forward application is indicated by the symbol >:. A/B B>. ABackward application is indicated by the symbol <:. B AB<. A. Paula Buttery (Computer Lab) L95: Natural Language Syntax and Parsing 6 / ... A A/B B | A/B range(R)} {A a | R : a A}.
  13. Characteristic (or indicator) functions P(A) ∼=� A ⇒ [2]� ...

    https://www.cl.cam.ac.uk/teaching/1718/DiscMath/DiscMathLecture19.pdf
    4 Feb 2018: 1. f is bijective. 2. b B! a A. f(a) = b. ... 3. b B. a A. f(a) = b. a1, a2 A.
  14. Preliminary List of Members of the Faculties - Cambridge University…

    https://www.reporter.admin.cam.ac.uk/reporter/2018-19/special/01/section3.shtml
    1 Oct 2018: Wagner. †R. B. B. Wardy, CTH. R. Weatherley. K. Williams. †R. ... R. B. B. Wardy, CTH. Prof. J. I. Warren, CC. C.
  15. College Notices - Cambridge University Reporter 6520

    https://www.reporter.admin.cam.ac.uk/reporter/2018-19/weekly/6520/section9.shtml
    3 Oct 2018: Dr Hatice Gunes, B.Sc., Yildes Technical University, Turkey, Ph.D., UTS, Australia. ... Dr Rona Smith, M.A., M.B. B.Chir., M.D., TH. Ms Rachel Clement, B.A., B.C.L., Oxford.
  16. L11: Algebraic Path Problems with applications to Internet Routing ...

    https://www.cl.cam.ac.uk/teaching/1819/L11/L11_2018_Lectures_1_2_2up.pdf
    10 Oct 2018: 1 a ďD‚ a ðñ a “ a ‚ a,. 2 a ďL‚ b b ďL‚ a ðñ a “ a ‚ b bb ‚ a ùñ a “ b. ... 3 a ďL‚ b b ďL‚ c ðñ a “ a ‚ b bb ‚ c ùñ a “ a ‚ pb ‚ cq “. pa ‚ bq ‚ c “ a ‚ c ùñ a ďL‚ c.
  17. Metaprogramming assignment 3 Optimising embedded languages Due at…

    https://www.cl.cam.ac.uk/teaching/1819/Metaprog/exercise-3.pdf
    19 Nov 2018: OCaml records like cps can have polymorphic fields, which cansimulate universally quantified types like b.(a b) b:. ... Examine values by pattern matching:. match x, y with| Some a, Some b -> a b| Some a, None -> a| None , b -> b| None , None -> 0.
  18. Computational Syntax and FormalSemantics 2018, c© Ted Briscoe…

    https://www.cl.cam.ac.uk/teaching/1819/L95/syn-sem18.pdf
    30 Oct 2018: 1) a Sam thinks that milk is horrible. b All linguists draw trees. ... S --> a S. S --> a B. B --> b (B).
  19. Interactive Formal Verification (L21) Exercises and Marking Scheme…

    https://www.cl.cam.ac.uk/teaching/1819/L21/handouts.pdf
    24 Sep 2018: Task 2 Prove the following results. [5 marks]. lemma partitions_empty1 [simp]: "partitions {} B B = {}"lemma partitions_empty2 [simp]: "partitions A {} A = {}"lemma partitions_insert:. ... lemma partitions_insert2:assumes "partitions A B" "B B" "a /
  20. Q Lecture Notes on Denotational Semantics Part II of ...

    https://www.cl.cam.ac.uk/teaching/1819/DenotSem/DenotSem2018.pdf
    12 Sep 2018: where. if (b,x,x′) =. {x if b = true. x′ if b = false. ... ck(s) if 0 k < n is such that b(ci(s)) = true.
  21. Recent Progress in Log-Concave Density Estimation

    www.statslab.cam.ac.uk/~rjs57/STS666.pdf
    29 Nov 2018: LEMMA 5.2 (Dümbgen, Samworth and Schuh-macher, 2011). Let P Pd , let φ := log ψ (P ),and let P (B) := B eφ for any Borel set B Rd. ... P (B) =d. j =1Pj. (w j B. ) B Bd ,for some W = (w1,. ,

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