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  2. MATHEMATICAL TRIPOS: PART IA Lent 2022 PROBABILITY Dominic YeoExample …

    https://www.dpmms.cam.ac.uk/study/IA/Probability/2021-2022/pex22_sheet1.pdf
    22 Jan 2022: You pick a member uniformly at random and observetheir voting. They vote the same for 20 consecutive votes. ... Discuss whether you might obtain usefulfurther information to assess the claim by watching them for the next 20 votes.
  3. Applied probability, Lent 2022 I. Kontoyiannis, ik355@cam.ac.uk…

    https://www.dpmms.cam.ac.uk/study/II/AppliedProbability/2021-2022/ex3.pdf
    20 Jan 2022: The service rates in D1 and D2 are µ1 = 15 and µ2 = 20 per day, respectively.
  4. Easter Term 2022 Optimization - Examples Sheet 2 1. ...

    https://www.dpmms.cam.ac.uk/study/IB/Optimization/2021-2022/ex2.pdf
    26 Apr 2022: A B2525. 30. 55. 5. 20. 7. 88. 10. 10. 1010.
  5. Automata & Formal LanguagesMichaelmas Term 2022 Part II of ...

    https://www.dpmms.cam.ac.uk/study/II/AutomataAndFormalLanguages/2022-2023/M22_AFL_ES2.pdf
    24 Oct 2022: Find a regular expression R such that L(R) = L(G). (20) Minimise the following automaton using the construction given in the lectures.
  6. MATHEMATICAL TRIPOS PART II (2021–2022)CODING AND CRYPTOGRAPHY…

    https://www.dpmms.cam.ac.uk/study/II/Coding/2021-2022/CC4-20.pdf
    10 Jan 2022: Can you find xn for all n? 11 Implement Shamir’s (k,n)-threshold scheme (‘secret sharing’) of Chapter 20, takingk = 2, n = 3, xj = j 1, p = 7, a0 = S =
  7. Michaelmas Term 2022 Linear Algebra: Example Sheet 3 of ...

    https://www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/2022-2023/lin-alg-ex3-2022.pdf
    24 Oct 2022: 1. Find the eigenvalues and give bases for the eigenspaces of the following complex matrices: 1 1 00 3 20 1 0.
  8. Diffeomorphisms of discs

    https://www.dpmms.cam.ac.uk/~or257/slides/ICM2022.pdf
    12 Jul 2022: π(BDiff(D2n))Q. as completely as possible. Theorem. [Kupers–R-W ’20 ’21]. Let 2n 6. ... πi(BDiff(D2n1))Q = Ki1(Z)Q. {Q i 2n 2 mod 4, i 2n 20 else.
  9. Jacob Rasmussen

    https://www.dpmms.cam.ac.uk/~jar60/papers.html
    21 Oct 2022: This page was last updated on October 20, 2022. Based on a design by Henry Wilton.
  10. Topics in Analysis T. W. Körner August 11, 2022 ...

    https://www.dpmms.cam.ac.uk/~twk/Topic.pdf
    12 Aug 2022: 7Some other proofs are given in Exercises 20.6, 20.7 and 20.8. ... The proof is givenin Exercise 20.10 but is not part of the course.
  11. Henry Wilton

    https://www.dpmms.cam.ac.uk/~hjrw2/papers.html
    19 Oct 2022: Forum Math. Sigma, 5(e10), 20 pp., 2017.

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