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  2. Oscar Randal-Williams DPMMSCentre for Mathematical…

    https://www.dpmms.cam.ac.uk/~or257/CV.pdf
    15 May 2024: O. Randal-Williams, Some phenomena in tautological rings of manifolds.Selecta Mathematica 24 (4) (2018) 3835-3873. ... Abelianisations of the mapping class groups of some highly-connected manifolds – Rice,Houston, 17th February 2014.
  3. Ordinals and Ordinal Hierarchies

    https://www.dpmms.cam.ac.uk/~wtg10/ordinals.html
    10 Sep 2002: It has complexity w. 2. if after the first move the game has complexity awb for some a,b. ... x. for some x in X, and the map x goes to t.
  4. Tensor products

    https://www.dpmms.cam.ac.uk/~wtg10/tensors3.html
    14 May 2003: Just so that we don't have to keep writing the phrase considered as a function on B', let us invent some notation. ... i. ,w. i. ), for some unknown bilinear function f, determined the value of f(v,w).
  5. Percolation Abstracts

    https://www.dpmms.cam.ac.uk/~rb812/abstracts.pdf
    23 Jul 2023: In this talk, we will discuss some prospecting on how to userotation invariance to obtain new information on the critical random cluster models on Z2. ... Howdoes the answer depend on A,B,C? What if there are more than two species, with some
  6. ON MODULAR UNITS A. J. Scholl Introduction. In [6], ...

    https://www.dpmms.cam.ac.uk/~ajs1005/preprints/u.pdf
    29 Jan 2010: It isthen clear that for some non-zero invariant v Vq the mapping Φq,1 is given by. ... may be represented by some k GẐ, and then. σ : ZQDf Nf k 7 ZQDẐNf k.
  7. ANALYSIS II EXAMPLES 4 Michaelmas 2005 J. M. E. ...

    https://www.dpmms.cam.ac.uk/study/IB/AnalysisII/2005-2006/an05-4.pdf
    22 Nov 2005: only if U = Y V for some V open in (X,dX).(ii Show that A is closed in (Y,dY ) if and only if A = Y B for some B ... dy. dx= 2xy , with y = 1 when x = 0 ,. has a unique solution in some interval containing 0. In what interval can the differential
  8. ANALYSIS II EXAMPLES 4 Michaelmas 2004 J. M. E. ...

    https://www.dpmms.cam.ac.uk/study/IB/AnalysisII/2004-2005/an04-4.pdf
    21 May 2005: only if U = Y V for some V open in (X,dX).(ii Show that A is closed in (Y,dY ) if and only if A = Y B for some B ... dy. dx= 2xy , with y = 1 when x = 0 ,. has a unique solution in some interval containing 0. In what interval can the differential
  9. ANALYSIS II (Michaelmas 2010): EXAMPLES 4 The questions are ...

    https://www.dpmms.cam.ac.uk/study/IB/AnalysisII/2010-2011/anII_ex_2010_4.pdf
    29 Nov 2010: Find this solution to some reasonable accuracy using a pocket calculator or thecalculator on your computer (remember to work in radians!), and justify the claimed accuracy ofyour approximation. ... norm. Show, however, that T is a contraction under the
  10. SS (ss2871@maths.cam.ac.uk) Michaelmas 2023 Probability and Measure 1 …

    https://www.dpmms.cam.ac.uk/study/II/Probability%2BMeasure/2023-2024/ex1.pdf
    11 Oct 2023: algebra. 1.2. Show that the following sets of subsets of R all generate the same σ-algebra:(a) {(a,b) : a < b}, (b) {(a,b] : a < b}, (c) {(,b] : b ... 1. 2. 1.9. Let (E,E,µ) be a measure space. Call a subset N E null if N B for some B E withµ(B) = 0.
  11. Extensions of motives and higher Chow groups A. J. ...

    https://www.dpmms.cam.ac.uk/~ajs1005/preprints/chow.pdf
    29 Jan 2010: The second is to. construct some extensions of motives related to elements of higher Chow groups and to. ... as in 1 is probably known to some experts (see for example the penultimate paragraph of.

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