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  2. REPRESENTATION THEORY WORKSHOP 1. Introduction Our aim is to ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/misc/reptheoryworkshop.pdf
    30 Aug 2019: Definition. The vector space IndGHV is defined to be the space with basis givenby the abstract symbols tj vi where t1,. , ... is given by g (tj vi) := ts hvi where ts is the unique coset representative suchthat gtj tsH, and h = t1s gtj.
  3. MATHEMATICAL TRIPOS Part III Tuesday, 2 June, 2009 1:30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2009/Paper30.pdf
    30 Aug 2019: Justify your answers. Suppose now that, in addition to the delay Dj (yj ), users of link j incur a traffic-dependent toll Tj(yj ), and suppose each user selects a route
  4. M. PHIL. IN STATISTICAL SCIENCE Friday 10 June, 2005 ...

    https://www.maths.cam.ac.uk/postgrad/mphil/files/stats/2005/Paper48.pdf
    19 Jun 2019: Let uji be the approximation at xi and tj ,i = 1,. ,
  5. MATHEMATICAL TRIPOS Part III Friday 30 May 2008 9.00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2008/Paper83.pdf
    30 Aug 2019: A(t1)A(t2) A(t2n1)〉 = 0. 〈A(t1)A(t2) A(t2n)〉 =. all pairs. 〈A(ti)A(tj)〉〈A(tk)A(tl)〉. Considering carefully the number of pairs in the
  6. MATHEMATICAL TRIPOS Part III Tuesday 5 June 2001 1.30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2001/Paper77.pdf
    30 Aug 2019: State the dual Cauchy identity. Let F (t) =. j>0 fj tj be a formal power series, where f0 = 1.
  7. MATHEMATICAL TRIPOS Part III Friday 28 May, 2004 9:00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2004/Paper38.pdf
    30 Aug 2019: Xj = min(Tj , cj ), for 1 j n. extending the notation of (b) in the natural way.
  8. MATHEMATICAL TRIPOS Part III Friday, 3 June, 2022 9:00 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2022/paper_319.pdf
    4 Aug 2022: Writedown operators which are a finite product. N. j=1. exp[sjA(tj)] (for appropriate {sj} and {tj}).
  9. MATHEMATICAL TRIPOS Part III Friday 9 June 2006 9 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2006/Paper45.pdf
    30 Aug 2019: Theeffects of recombination in the segment may be ignored. The time for which the samplehas j distinct ancestors is denoted by Tj , j = 2, 3,. ,
  10. MATHEMATICAL TRIPOS Part III Friday 10 June, 2005 9 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2005/Paper48.pdf
    30 Aug 2019: Let uji be the approximation at xi and tj ,i = 1,. ,
  11. MATHEMATICAL TRIPOS Part III Friday, 8 June, 2018 1:30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2018/paper_139.pdf
    30 Aug 2019: Show that for any j > 1there exists there exists a positive real number Tj such that.

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