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  2. 8 Jan 2015: Read about Nick's new book Escape from Tibet', available from March 29, 2012..
  3. Thomas Forster February 16, 2011 Let the original program ...

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/2009p6q3.pdf
    23 Feb 2015: If the answer is ‘yes’ this can only be because P ′ gets into a new,artificial loop of the kind not experienced by P.
  4. graph20151.dvi

    www.dpmms.cam.ac.uk/study/II/Graphs/2015-2016/graph20151.pdf
    15 Oct 2015: Show that G is a tree if and only if theaddition of any edge to G produces exactly 1 new cycle.
  5. ERRATUM TO: STABLE MODULI SPACES OF HIGH DIMENSIONAL MANIFOLDS ...

    https://www.dpmms.cam.ac.uk/~or257/acta_erratum.pdf
    8 Dec 2015: jk by deforming the embedding ei does not create new intersection points.
  6. CODES AND CRYPTOGRAPHY – Example Sheet 4TKC Lent 2015 ...

    https://www.dpmms.cam.ac.uk/~tkc10/CodesandCryptography/Exercise_4.pdf
    7 Mar 2015: Itherefore find a new pair of primes and announce that I shall be using the Rabin code with modulusN′ > N. ... Alice uses the Elgamal signature scheme to sign a sequence of messages, incrementing the value ofk by 2 for each new message.
  7. Sheet 2 Question 1 part (d) The reader is ...

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/mauricenonce.pdf
    29 Nov 2015: I’d never thought of coding tricks as many-onereductions (that is Chiodo’s idea) but one learns something new every day.
  8. Mathematical Tripos: Part IB DJS/Lent 2015 Statistics: Example Sheet…

    www.dpmms.cam.ac.uk/study/IB/Statistics/2014-2015/ex1.pdf
    22 Jan 2015: Find an injective function h on (0,) such that, writ-ing ψ = h(θ), the maximum likelihood estimator ψ̂ of the new parameter ψ isunbiased.
  9. ON DIFFEOMORPHISMS ACTING ON ALMOST COMPLEX STRUCTURES OSCAR…

    https://www.dpmms.cam.ac.uk/~or257/ACstr.pdf
    23 Dec 2015: 3. The action of diffeomorphisms. If f : M M is a diffeomorphism and ξ isa stable framing, we obtain a new stable framing fξ by. ... Similarly, if ζ = (E,b) is a stable almost complex structure, we obtain a new onefζ = (fE,fb) where fb is given by.
  10. CODES AND CRYPTOGRAPHY – Example Sheet 3TKC Lent 2015 ...

    www.dpmms.cam.ac.uk/study/II/Coding/2014-2015/CC3.pdf
    25 Feb 2015: A new code is formed by adding a single parity check bit to the end of the Hamming code, showthat this is linear and repeat the exercise above for this code.
  11. CODES AND CRYPTOGRAPHY – Example Sheet 3TKC Lent 2015 ...

    https://www.dpmms.cam.ac.uk/~tkc10/CodesandCryptography/Exercise_3.pdf
    19 Feb 2015: A new code is formed by adding a single parity check bit to the end of the Hamming code, showthat this is linear and repeat the exercise above for this code.
  12. number_fields-14-1.dvi

    www.dpmms.cam.ac.uk/study/II/NumberFields/2014-2015/number_fields-14-1.pdf
    12 Feb 2015: fn gn = hn. Use unique factorisation in C[X] to construct a new solution tothis equation involving polynomials of smaller degree.
  13. 21 Oct 2015: Illinois J. Math 46, 885-891 2002. [Gor68] D. Gorenstein. Finite Groups Harper and Row, New York, 1968.
  14. Equidistribution of Frobenius eigenvalues Jack A. Thorne January 9,…

    https://www.dpmms.cam.ac.uk/~jat58/Frobenius.pdf
    9 Jan 2015: Finally, we fix an isomorphism ι : Ql = C. For each irreducible algebraic representation ξ of the semi-simplegroup G, we can define a new lisse sheaf F0,ξ on U0, which
  15. ON FAMILIES OF 9-CONGRUENT ELLIPTIC CURVES TOM FISHER Abstract. ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/congr9.pdf
    2 Jun 2015: 1)2, respectively 1, 3. , ( 3. )2. We. then eliminate t, and homogenise (introducing a new variable s) to give. ... Silverman. and G. Stevens (eds.), Springer-Verlag, New York, (1997), 447–461. University of Cambridge, DPMMS, Centre for Mathematical
  16. What is the probability that a random integral quadraticform ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/isotropic.pdf
    15 Sep 2015: In particular, we obtain a new recursive proof of the well-known factthat every n-ary quadratic form over Qp is isotropic when n 5. ... We note that our general argument shows in particular thatquadratic forms in n 5 variables over Qp are always isotropic
  17. Starred exercises have model answers. The following relevant tripos…

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/discex.pdf
    7 Feb 2015: And for a bonus point, formalise “x is the doublecousin of y”.1 Hint: might need new variables! ... The new clause isthen:. if t is a formula of the form 2s and v is a state then SAT(v,t) = 1iff for all states v′ such that v′ R
  18. University of Cambridge Mathematical Tripos Computability and Logic…

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/comp.pdf
    22 Oct 2015: on the tape that is marked with "end" the following isa heuristic description of what the new Turing Machine does:. ... iv) in the new data, rend the original position and instruction, con-tinue computation.
  19. complex.dvi

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/arthur-norman.pdf
    29 Nov 2015: Karatuba’s algorithm takes a pair ofn-bit integers and views them as two-digitvalues where each new digit hasn/2 bits. ... are just fromthe TMs alphabet (I will useai as such a symbol) and a new symbol$ that I willuse as a delimiter.
  20. HIGHER DESCENTS ON AN ELLIPTIC CURVEWITH A RATIONAL 2-TORSION ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/higherdesc.pdf
    11 Sep 2015: Lemma 4.2 shows that thereexists ξ S satisfying the condition on line 14, and that after modifying αk online 15, the new αk satisfies (6) with j = k. ... We also found 10 new examples of ellipticcurves E/Q with E(Q) = Z/2ZZ/8ZZ3, including one where
  21. On Laver’s proof of Fräıssé’s order typeconjecture Philipp…

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/kleppmann-essay.pdf
    10 Jul 2015: If Q is a quasi-ordered set or class, construct a new QO Q. ... Define a new labelling l1 : E Ñ R : x ÞÑ 1lpxq and let χ1 xPE 1l1pxq.
  22. INTRODUCTION TO STATISTICALMODELLING IN R P.M.E.Altham, Statistical…

    https://www.dpmms.cam.ac.uk/~pmea/redwsheets.pdf
    8 Jan 2015: NewYork: Springer-Verlag.For statistics text booksAgresti, A.(2002) Categorical Data Analysis. New York: Wiley.Collett, D.(1991) Modelling Binary Data. ... P.M.E.Altham, University of Cambridge 24. "New Orleans" 9 68.3 204 361 8.4 56.77 113.
  23. INTRODUCTION TO HYPERBOLIC AND AUTOMATIC GROUPS S. M. Gersten ...

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/baumslag.pdf
    28 Jul 2015: an important new outlookon finitely presented groups.7.1.
  24. Multivariate and other worksheets for R (or S-Plus): a ...

    https://www.dpmms.cam.ac.uk/~pmea/misc.pdf
    9 Jan 2015: 2000). References.Agresti, A. (2002) Categorical Data Analysis. New York: Wiley.Venables, W.N. and Ripley, B.D. ... Now we consider a new problem, tests for paired samples.Suppose we have data (x1,y1),. ,
  25. My great paper

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/zachnorwoodBQOessay.pdf
    11 Jul 2015: 2.3 Simpson’s insight. In [18] Simpson provides a new topological perspective for bqo theory.
  26. 7 Aug 2015: In this paper we attempt to initiatea new theory of D-modules for rigid analytic spaces in the sense of Tate [30]. ... In this new programme we extend that work in twodirections. In the base direction, by working on the rigid analytic flag variety
  27. 10 Dec 2015: HSBT10]. Therefore the new content of ourwork is the existence of Π itself, on its proper ground field. ... In contrast to the situation of [CT15], although this argument does produce a new automorphicrepresentation that is ‘more ramified’ than the
  28. hyp.dvi

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/batty.pdf
    7 Oct 2015: We define a new divergence function e for X as follows.
  29. Automorphy of some residually dihedral Galois representations Jack A. …

    https://www.dpmms.cam.ac.uk/~jat58/version_over_F.pdf
    3 Apr 2015: 1 Introduction. In this paper, we prove a new automorphy theorem for 2-dimensional Galois representations, and applyit to the problem of modularity of elliptic curves. ... Theorem 1.2 is new even when F = Q, and can be viewed as a special case of the
  30. Department of Pure Mathematics and Mathematical StatisticsUniversity…

    https://www.dpmms.cam.ac.uk/~tkc10/CodesandCryptography/CodesandCryptography.pdf
    10 Mar 2015: Consider the new code we obtain by changing thesingle code word c(aK) to w. ... The construction ofthe Huffman code shows that there is a Huffman code h̃ on the new alphabet.

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