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  2. ERC PROJECT SINGWAVE PIERRE RAPHAËL The 6th Clay Millenium ...

    https://www.dpmms.cam.ac.uk/files/raphael/projet-ERC.pdf
    19 Apr 2021: The underlying mechanism is new and based ona blow up bubble approach (as opposed to Fourier methods). ... The blow up mechanism is com-pletely new and highly oscillatory, and relies on the study of an underlying leadingorder compressible Euler like flow.
  3. MARKOV CHAINS EXAMPLE SHEET 1 Perla Sousi 〈ps422@cam.ac.uk〉…

    https://www.dpmms.cam.ac.uk/study/IB/MarkovChains/2021-2022/example1.pdf
    12 Oct 2021: What is the new value of p? [Hint: Think about the relationship between thetwo dice.].
  4. exsh4.dvi

    https://www.dpmms.cam.ac.uk/study/II/AutomataAndFormalLanguages/2021-2022/2122autflno4.pdf
    22 Nov 2021: Suppose we form a new CFG G′ from G byadding, for each production of the form B a in P (where a Σ), the productionB ǫ. ... Describe the new language L(G′) in terms of the original language L(G), givingan argument for your answer.
  5. MATHEMATICAL TRIPOS PART II (2020–21) Coding and Cryptography - ...

    https://www.dpmms.cam.ac.uk/study/II/Coding/2020-2021/CC4-21.pdf
    12 Mar 2021: I therefore find a new pair of primes andannounce that I shall be using the Rabin code with modulus N′ > N.
  6. Proofs for some results inTopics in Analysis T. W. ...

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2021-2022/Caesar.pdf
    21 Nov 2021: We deal with the case when z lies on the boundary of some S by erasingany sides through z and repeating the argument with the new (non-regular)grid.
  7. Topics in Analysis T. W. Körner November 19, 2021 ...

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2021-2022/Topic.pdf
    21 Nov 2021: Bertha’s choice, Albert changes his choice to p′ and then,knowing Albert’s new choice, Bertha changes to q′ and then. ... 13. that neither party can do better by unilaterally choosing a new value.
  8. Topics in AnalysisIn a Time of Covid T. W. ...

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2020-2021/Alltopic.pdf
    22 Jan 2021: 23. but, now knowing Bertha’s choice, Albert changes his choice to p′ and then,knowing Albert’s new choice, Bertha changes to q′ and then. ... The ques-tion we ask ourselves is whether there is a ‘stable choice’ of p and q suchthat neither
  9. An introduction to the study of non linear waves ...

    https://www.dpmms.cam.ac.uk/study/III/Introductiontononlinearanalysis/2021-2022/cours-camb.pdf
    8 Oct 2021: dkhk. given by Proposition 1.3.1. We have. Ij(f,h) =k,. ckdIj(fk,h). The gain with this new (apparently more complicated) decomposition is that the atoms fkand h

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