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  2. News? What news?

    https://www.dpmms.cam.ac.uk/~tf/poem31.html
    30 Dec 2019: And forgotten the news I was bringing to Ghent,. Though I'd galloped and galloped and galloped and galloped and galloped. ... Sellars and Yeatman (truncated). One nice thing about this parody is that the unfortunate rider has forgotten what the news was!
  3. Cohomology of moduli spaces

    https://www.dpmms.cam.ac.uk/~or257/slides/Clay.pdf
    6 Oct 2019: Proof overview. Uses a new paradigm for understanding families of moduli spaces.
  4. IB Statistics Michael TehranchiExample sheet 1 of 3 Lent ...

    https://www.dpmms.cam.ac.uk/study/IB/Statistics/2018-2019/Example1.pdf
    28 Feb 2019: Find an injective function h on (0,) such that, writing ψ = h(θ),the maximum likelihood estimator ψ̂ of the new parameter ψ is unbiased.
  5. MARKOV CHAINS EXAMPLE SHEET 1 Roland Bauerschmidt 〈rb812@cam.ac.uk〉…

    https://www.dpmms.cam.ac.uk/study/IB/MarkovChains/2019-2020/example1.pdf
    1 Nov 2019: What is the new value of p? [Hint: Think about the relationship between thetwo dice.].
  6. MATHEMATICAL TRIPOS PART II (2018–19) Coding and Cryptography - ...

    https://www.dpmms.cam.ac.uk/study/II/Coding/2018-2019/CC4-19.pdf
    6 Mar 2019: I therefore find a new pair of primes andannounce that I shall be using the Rabin code with modulus N′ > N.
  7. Graph Theory (2019–20) Example Sheet 1 of 4 1. ...

    https://www.dpmms.cam.ac.uk/study/II/Graphs/2019-2020/examples-GT-19-1.pdf
    9 Oct 2019: News is passed on by telephone:when two dons communicate, they share all the scandal they have gleaned thus far.
  8. exsh4.dvi

    https://www.dpmms.cam.ac.uk/study/II/AutomataAndFormalLanguages/2019-2020/1920autflno4.pdf
    27 Nov 2019: 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.
  9. Graph Theory (2019–20) Example Sheet 1 of 4 1. ...

    https://www.dpmms.cam.ac.uk/files/study/II/Graphs/2019-2020/examples-GT-19-1.pdf
    9 Oct 2019: News is passed on by telephone:when two dons communicate, they share all the scandal they have gleaned thus far.
  10. An Unofficial Guide To Part III Although the production ...

    https://www.dpmms.cam.ac.uk/~twk/PartIII.pdf
    5 Oct 2019: Any new paper is open to any candidate.Even if you request a paper you can later change your mind and not take it.If you are thinking of requesting an ... 16. Brexit When news of the vote was brought to the Vice Chancellor he isreported to have said
  11. ANALYSIS OF FUNCTIONS (PART II) EXAMPLE SHEET 1 Harder ...

    https://www.dpmms.cam.ac.uk/study/II/AnalysisofFunctions/2018-2019/Example-sheet-AF-1.pdf
    7 Mar 2019: Rn). (4) Give a new proof of the density of Cc (Rn) in L1(Rn).
  12. 11 Nov 2019: Exploiting, once again, the idea of Theorem 2.4 and the accompanying remarksone can construct from E a new vector bundle End E, with the same structure group asfor E and
  13. 2 Nov 2019: Then. det. (1 0. (fi/xi) (fi/yj). )(0, 0) 6= 0. and so, by the Inverse Function Theorem, the xi,fj form a valid set of new local coordinateson a ... The local equation for the intersection ofP with that neighbourhood takes in the new coordinates a simple
  14. ÙD-MODULES ON RIGID ANALYTIC SPACES III:WEAK HOLONOMICITY AND…

    https://www.dpmms.cam.ac.uk/~sjw47/DCapThree.pdf
    1 May 2019: ÙD-MODULES ON RIGID ANALYTIC SPACES III:WEAK HOLONOMICITY AND OPERATIONS. KONSTANTIN ARDAKOV, ANDREAS BODE, AND SIMON WADSLEY. Abstract. We develop a dimension theory for coadmissible ÛD-modules onrigid analytic spaces and study those which are of
  15. EVERYWHERE LOCAL SOLUBILITY FOR HYPERSURFACES IN PRODUCTSOF…

    https://www.dpmms.cam.ac.uk/~taf1000/papers/probs22.pdf
    3 Nov 2019: EVERYWHERE LOCAL SOLUBILITY FOR HYPERSURFACES IN PRODUCTSOF PROJECTIVE SPACES. TOM FISHER, WEI HO, AND JENNIFER PARK. Abstract. We prove that a positive proportion of hypersurfaces in products of projective spacesover Q are everywhere locally soluble
  16. ON FAMILIES OF 13-CONGRUENT ELLIPTIC CURVES T.A. FISHER Abstract. ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/congr13.pdf
    24 Dec 2019: InSection 6 we instead develop a new approach for computing equations for Z(n,k),not going via the equations for XE(n,k), but still using the invariant theory.
  17. Hilbert, Bourbaki and the scorning of logic A. R. ...

    https://www.dpmms.cam.ac.uk/~ardm/hbslmag2.pdf
    25 Jun 2019: Although Gödel [worked] independently, themathematics is not new: it was substantially present inthe work of both Skolem and Herbrand. ... Gödel left Königsberg on September 9th, without, it seems, havingdiscussed his new result with Hilbert.21.
  18. K-THEORY JACK SMITH 1. Introduction 1.1. Preamble. These are ...

    https://www.dpmms.cam.ac.uk/~jes98/K-TheoryWeb.pdf
    27 Oct 2019: K-THEORY. JACK SMITH. 1. Introduction. 1.1. Preamble. These are notes for a graduate course in complex topological K-theory : the study ofspaces through their complex vector bundles. Why might this be a sensible thing to do? • It’s analogous to
  19. Part II Algebraic Topology Henry Wilton November 8, 2019 ...

    https://www.dpmms.cam.ac.uk/~hjrw2/AT%20lecture.pdf
    8 Nov 2019: Part II Algebraic Topology. Henry Wilton. November 8, 2019. 0 Introduction. Topology is often loosely defined as ‘rubber-band geometry’. Perhaps a morerigorous definition is that topology is the study of continuous maps. Here is a question that
  20. École Normale Supérieure de LyonResearch internship report Topology…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/maths/2019-TopologyComplexAffineVarieties.pdf
    9 Aug 2019: The aim was then to write fully modern and rigorous proofsof two related theorems by Picard, using [Mov19] as a compass and learning new mathematicsalong the way. ... but we will need it for all 1 6 m 6 n,and therefore we introduce a new condition,
  21. École Normale Supérieure de LyonResearch internship report Topology…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/maths/2019-TopologyComplexAffineVarieties-Abridged.pdf
    9 Aug 2019: The aim was then to write fully modern and rigorous proofsof two related theorems by Picard, using [Mov19] as a compass and learning new mathematicsalong the way. ... but we will need it for all 1 6 m 6 n,and therefore we introduce a new condition,

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