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  2. Spaces of manifolds

    https://www.dpmms.cam.ac.uk/~or257/slides/Princeton2022.pdf
    13 Apr 2022: 40. 42. 44. 46. 48. 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56
  3. 16 Jan 2024: where. νabcd =1. 24. det(η)εabcd. The coordinates (w,z,w̃, z̃) are called double null coordinates. ... wγn = z̃γn1 and zγn = w̃γn1. (24). The Birkhoff factorization F = f̃1f is given by4.
  4. Ek-algebras and homological stability

    https://www.dpmms.cam.ac.uk/~or257/slides/eCHT.pdf
    16 Jan 2020: Figure 1: Hd(Γg,1, Γg1,1; Q);? means unknown,? means not zero. Non-zero groups: use results of Faber, Kontsevich, Morita.24.
  5. Lent Term 2016 O. Randal-Williams IB Groups, Rings, and ...

    https://www.dpmms.cam.ac.uk/~or257/teaching/IBGRM/Sheet3.pdf
    15 Feb 2016: X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4.
  6. Hamilton Paths in Certain Arithmetic Graphs Paul A. Russell∗† ...

    https://www.dpmms.cam.ac.uk/~par31/preprints/hamilton.pdf
    30 Jan 2005: But what we need is simply a Hamilton path from 0to 54 in G3 [[0, 21] {24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60}], for which ... 0, 3, 1, 4, 7, 10, 13, 16, 19, 57, 60, 20, 17, 14, 11, 8, 5, 2, 6, 9, 12, 15, 18, 21,24, 27, 30, 33, 36, 39, 42,
  7. filtersurprise.dvi

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/filtering.pdf
    5 Jun 2020: Filtering: The Case for “Noisier” Data. B. Lucena I. Kontoyiannis†. August 24, 2005.
  8. talk.dvi

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/mdl-msri.pdf
    5 Jun 2020: 24. Step 7. Applications: Preprocessing in VQ Design. Remarks. So far, everything based on “measures (random) codes” correspondencePractical implications?
  9. MATHEMATICAL TRIPOS PART II (2022–2023)CODING AND CRYPTOGRAPHY…

    https://www.dpmms.cam.ac.uk/study/II/Coding/2022-2023/CC3-20.pdf
    11 Jan 2023: Colourtransmission requires three times the amount of data than Mariner 9 needed, so a Golay (24,12,8) code wasused.
  10. FOUR-MANIFOLDS LENT 2009 SOLUTIONS FOREXAMPLE SHEET 1 1. Show ...

    https://www.dpmms.cam.ac.uk/~jar60/Solutions1.pdf
    12 Feb 2009: 3For n = 5, this works out to (5110)/3 = 35, so the intersection form is 9(1)44(1).When n = 6, we have b2 = 6(42 24) 2 = 106 and ... σ = (24 216)/3 = 64, so theintersection form is 21H 8E8.
  11. 1 1 1 1 274 NAW 5/9 nr. 4 ...

    https://www.dpmms.cam.ac.uk/~twk10/Dutch
    9 Jan 2009: Wat moet je doen als je helemaal niets be-. grijpt van wat er verteld wordt?Op geavanceerd niveau is het mogelijk dateen volledige reeks van 24 lezingen gewijdwordt aan het bewijs
  12. talk.dvi

    https://www.dpmms.cam.ac.uk/~ik355/AWMCMC/AWMCMC_talks/IK.pdf
    6 Jun 2020: Which Spectrum? I. KontoyiannisAthens U. of Econ & Business. joint work with S.P. Meyn. University of Illinois/Urbana-Champaign. Athens Workshop on MCMC Convergence and Estimation. 1. Outline. Motivation. In general:Geometric ergodicity spectral gap
  13. The Stallings–Swan Theorem

    https://www.dpmms.cam.ac.uk/~aptm3/docs/maths/2023-StallingsSwanTheorem
    1 Dec 2023: October 24, 2023. The goal of these notes is to explain the statement and give a proof of thefollowing:.
  14. vt06final.dvi

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/vt.pdf
    5 Jun 2020: Γn(F) will be to obtain a bound on the deviationprobability (24) with an appropriately chosen shadowfunction D. ... Probab., 24(2):916–931, 1996. [17] P.W. Glynn and D. Ormoneit. Hoeffding’s inequality foruniformly ergodic Markov chains.
  15. The Complexity and Entropy of Literary Styles� I. Kontoyiannisy ...

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/english.pdf
    5 Jun 2020: In his landmark 1948 paper, [24], Shannon dened the entropy and the redundancy of a language,. ... 24] C.E. Shannon. A mathematical theory of communication. Bell System Technical J., 27:379{.
  16. Michaelmas Term 2023 T.A. Fisher Galois Theory: Example Sheet ...

    https://www.dpmms.cam.ac.uk/study/II/Galois/2023-2024/galois_theory-23-3.pdf
    7 Nov 2023: Find a monic polynomial over Z ofdegree 4 whose Galois group is V = {id, (12)(34), (13)(24), (14)(23)}.(ii) Let f Z[X] be monic and separable of degree
  17. Simulated Convergence Rates with Application to anIntractable…

    https://www.dpmms.cam.ac.uk/~ik355/PAPERS/CAMSAP.pdf
    5 Jun 2020: the latter in terms ofthe commonly used divergence measures, such as Kullback-Leibler divergence (KLD) and α-divergence, see [24]. ... dissertation, Kaiserslautern University of Technology, 2014. [24] Minka, T., “Divergence measures and message passing
  18. Example sheet 3, Galois Theory (Michaelmas 2013)…

    https://www.dpmms.cam.ac.uk/~ajs1005/gal2d/ex-sheet3.pdf
    17 Nov 2013: Find a monic polynomial over Z of degree 4 whoseGalois group is V = {e, (12)(34), (13)(24), (14)(23)}.(ii) Let f Z[X] be monic and separable of degree
  19. MA4K5: Introduction to Mathematical Relativity Dr. Claude Warnick…

    https://www.dpmms.cam.ac.uk/~cmw50/resources/MA4K5/MA4K5Intro.pdf
    15 Oct 2021: 24. 2.1.1 Examples of pseudo-Riemannian manifolds. 262.1.2 Causal geometry for Lorentzian manifolds.
  20. IA Groups - Example Sheet 3 Michaelmas 2020 ak467@cam.ac.uk ...

    https://www.dpmms.cam.ac.uk/study/IA/Groups/2020-2021/Groups_Sheet3.pdf
    11 Nov 2020: b) Show that N = {e, (12)(34), (13)(24), (14)(23)} is a normal subgroup of S4.
  21. Lent Term 2018 O. Randal-Williams IB Groups, Rings, and ...

    https://www.dpmms.cam.ac.uk/~or257/teaching/IBGRM/2018/Sheet3.pdf
    23 Feb 2018: X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4.

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