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  2. Jacob Rasmussen

    https://www.dpmms.cam.ac.uk/~jar60/
    21 Oct 2022: This page was last updated on October 20, 2022. Based on a design by Henry Wilton.
  3. Jacob Rasmussen

    https://www.dpmms.cam.ac.uk/~jar60/contact.html
    23 Oct 2022: Cambridge, UK. CB4 1JZ. This page was last updated on October 20, 2022.
  4. ANALYSIS I EXAMPLES 4 G.P. Paternain Lent 2022 Comments ...

    https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2021-2022/aI_4_22.pdf
    17 Feb 2022: Show that. In = 1/20. f(t/n) dt and hence that |In| 1/9n2. ... 7. Let In = π/20. cosn x. Prove that nIn = (n1)In2, and hence 2n2n1 I2n1/I2n 1.
  5. Applied probability, Lent 2022 I. Kontoyiannis, ik355@cam.ac.uk…

    https://www.dpmms.cam.ac.uk/study/II/AppliedProbability/2021-2022/ex4.pdf
    20 Jan 2022: A barber takes an exponentially distributed amount of time, with mean 20 minutes, to completea haircut.
  6. Spaces of manifolds

    https://www.dpmms.cam.ac.uk/~or257/slides/Princeton2022.pdf
    13 Apr 2022: π(M(D2n))Q. as completely as possible. The first installment is:. Theorem. [Kupers–R-W ’20 ’21] Let 2n 6. ... V 7 (ΘF(r) O(r) (Rr V)). for some O(r)-spectrum ΘF(r).20. Orthogonal calculus for V 7 BHomeo(V).
  7. STATISTICS Part IBExample Sheet 2 (of 3) Lent 2022 ...

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2021-2022/Qu2.pdf
    13 Jan 2022: Improved No difference WorsePlacebo 18 17 15. Half dose 20 10 20Full dose 25 13 12.
  8. Jacob Rasmussen

    https://www.dpmms.cam.ac.uk/~jar60/teaching.html
    21 Oct 2022: This page was last updated on October 20, 2022. Based on a design by Henry Wilton.
  9. Mich 2022 SJW Representation Theory — Examples Sheet 3 ...

    https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2022-2023/2022ex3.pdf
    4 Nov 2022: Use these to reconstruct thecharacter table of S5. Then repeat, replacing S4 by the subgroup ⟨(12345), (2354)⟩ of S5 of order 20.
  10. STATISTICS Part IBExample Sheet 3 (of 3) Lent 2022 ...

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2021-2022/Qu3.pdf
    13 Jan 2022: Estimate v from the following independent observations madeon 9 shells. α (deg) 5 10 15 20 25 30 35 40 45sin(2α) 0.1736 0.3420 0.5 0.6428
  11. Michaelmas Term 2022-23 Numbers and Sets: Examples Sheet 1 ...

    https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2022-2023/numset1_2022.pdf
    13 Oct 2022: 2. There are four primes between 0 and 10 and between 10 and 20.
  12. 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.
  13. Sam Frengley's Homepage

    https://www.dpmms.cam.ac.uk/~stf32/reading/vdWconj.html
    25 Nov 2022: Date. Topic. Speaker. 06 October. Introduction. Sam. 13 October. 20 October.
  14. Pierre RAPHAËL Herchel Smith Professor of Pure MathematicsDepartment …

    https://www.dpmms.cam.ac.uk/files/raphael/cv-complet-2022.pdf
    25 Jan 2022: Eur.Math. Soc. (JEMS) 17 (2015), no. 8, 1855–1925. [20] Martel, Y.; Merle, F.; Raphaël, P.; Blow up for the critical gKdV equation I: dynamics near the solitary wave,Acta ... Funct. Anal. 20 (2010), no. 4, 10281071. [33] Raphaël, P.; Szeftel, J.,
  15. 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.
  16. 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.
  17. 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.
  18. 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 =
  19. 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.
  20. 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.
  21. 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.

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