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  2. HX1Lycée Louis le Grand 2015-2016 Mathématiques Classe de…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Mathematiques-Sup.pdf
    31 Aug 2023: Proposition 1.24 (Linéarisation de cosn θ). n N, θ R. cosn θ =(eiθ eiθ. ... Proposition 3.24. L’applicationP(E) {0, 1}. E. A 7 1Aest une bijection.
  3. Part IB - Groups, Rings, and Modules

    https://www.dpmms.cam.ac.uk/~or257/teaching/notes/GRM.pdf
    31 Jan 2024: 24. Theorem. The alternating groups An are simple for n 5 (also for n = 2, 3).
  4. MP∗2Lycée Louis le Grand 2016-2017 Mathématiques Classe de…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Mathematiques-Spe.pdf
    31 Aug 2023: 24 Anneaux 126I Généralités. 126II L’anneau Z/nZ. 127III Caractéristique d’un corps. ... Alors XY Z (XY. )Z. Proposition 6.24. C0 (R,R) R. Démonstration.
  5. Department of Pure Mathematics and Mathematical Statistics

    www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/previous.html
    16 Oct 2023: Linear Algebra. Linear Algebra. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. Lecture Notes. 2019-2020. 2018 - 2019. 2017 - 2018. 2016 - 2017. 2015 - 2016. 2014 - 2015. 2013 - 2014. 2012 - 2013. 2010 - 2011. 2009 - 2010. 2008 -
  6. Proofs for some results inTopics in Analysis T. W. ...

    www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2023-2024/Caesar.pdf
    25 Oct 2023: 2 =. 11. 1 dx =nj=1. Aj. 24. (iii) We have 11f(x) dx.
  7. Part III Functional Analysis András Zsák Michaelmas 2023 Contents…

    https://www.dpmms.cam.ac.uk/~az10000/2023-mich-partiii-func-anal-notes.pdf
    28 Nov 2023: Part III Functional Analysis. András Zsák. Michaelmas 2023. Contents. 1 The Hahn–Banach extension theorems 1. 2 The dual space of Lp(µ) and of C(K) 7. 3 Weak topologies 12. 4 Convexity 17. 5 Banach algebras 18. 6 Holomorphic functional
  8. Topics in Analysis T. W. Körner October 25, 2023 ...

    www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2023-2024/Topic.pdf
    25 Oct 2023: 24. Theorem 9.6. We continue with the notation of Theorem 9.5.(i) Aj 0 for each 1 j n.(ii).
  9. Part II Logic and Set Theory András Zsák Lent ...

    https://www.dpmms.cam.ac.uk/~az10000/2024-lent-partii-logic-and-set-notes.pdf
    29 May 2024: 24. Note. If f : X Y is order-preserving and injective, then x < y impliesf(x) < f(y).
  10. MAPPING CLASS GROUPS OF h-COBORDANT MANIFOLDS SAMUEL MUÑOZ-ECHÁNIZ…

    https://www.dpmms.cam.ac.uk/~sm2600/papers/Mapping%20class%20groups%20of%20h-cobordant%20manifolds.pdf
    5 Jun 2024: MAPPING CLASS GROUPS OF h-COBORDANT MANIFOLDS. SAMUEL MUÑOZ-ECHÁNIZ. ABSTRACT. We prove that the mapping class group is not an h-cobordism invariant of high-dimensional manifolds by exhibiting h-cobordant manifolds whose mapping class groups
  11. Department of Pure Mathematics and Mathematical Statistics

    www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/previous.html
    25 Oct 2023: Example sheet 1 (updated 24 Jan, 2013).

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