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  2. graph20231.dvi

    https://www.dpmms.cam.ac.uk/study/II/Graphs/2023-2024/graph20231.pdf
    20 Sep 2023: Show that G is a tree if and only if theaddition of any edge to G produces exactly 1 new cycle.
  3. Pierre RAPHAËL Herchel Smith Professor of Pure MathematicsDepartment …

    https://www.dpmms.cam.ac.uk/files/raphael/cv-complet-2023.pdf
    13 Mar 2023: Martel (Versailles), F. Merle. (IHES), F. Planchon (Nice), J. Szeftel (Jussieu).Fall 2015 Coorganizer of the jumbo MSRI program ”New challenges in PDE: Deterministic dynamics and. ... Amer. Math. Soc. 24 (2011), no. 2, 471546. [32] Lemou, M.; Mehats, F.
  4. Applied probability, Lent 2023 ss2871@cam.ac.uk Example Sheet 4…

    https://www.dpmms.cam.ac.uk/study/II/AppliedProbability/2022-2023/ex4.pdf
    31 Jan 2023: Purchasing the rights to a new movie costs £10,000. How muchhave they spent after 5 years? ... Mr. Smithbuys a new car as soon as the old one breaks down or reaches T years.
  5. MARKOV CHAINS EXAMPLE SHEET 1 Perla Sousi 〈ps422@cam.ac.uk〉…

    https://www.dpmms.cam.ac.uk/study/IB/MarkovChains/2023-2024/example1.pdf
    19 Oct 2023: What is the new value of p? [Hint: Think about the relationship between thetwo dice.].
  6. Stochastic Financial Models Michael TehranchiExample sheet 2 -…

    https://www.dpmms.cam.ac.uk/study/II/FinancialModels/2023-2024/example2.pdf
    10 Oct 2023: Take out a ball at random and replaceit by two balls of the same colour; this gives the new content of the urn at time 2.
  7. Applied probability, Lent 2023. ss2871@cam.ac.uk Example Sheet 1 1.…

    https://www.dpmms.cam.ac.uk/study/II/AppliedProbability/2022-2023/ex1ss.pdf
    31 Jan 2023: There are two salesmennear the door who offer passing customers samples of a new product. ... Each customer takesan exponential time of parameter 1 to think about the new product, and during this time.
  8. Lent Term 2023 Number Fields: Example Sheet 1 of ...

    https://www.dpmms.cam.ac.uk/study/II/NumberFields/2022-2023/number_fields-14-1.pdf
    26 Jan 2023: Use unique factorisation in C[X] to construct a new solution tothis equation involving polynomials of smaller degree.
  9. Automata & Formal LanguagesMichaelmas Term 2023 Part II of ...

    https://www.dpmms.cam.ac.uk/study/II/AutomataAndFormalLanguages/2023-2024/M23_AFL_ES1.pdf
    13 Oct 2023: Let X1,. , Xn be n new. variables that do not occur in V and consider the following list of 2n rules:.
  10. MATHEMATICAL TRIPOS PART II (2022–2023)CODING AND CRYPTOGRAPHY…

    https://www.dpmms.cam.ac.uk/study/II/Coding/2022-2023/CC2-20.pdf
    13 Feb 2023: numbers’. A new system was introduced which is compatible with the systemused to label most consumer goods. ... Kelly’s original 9-page paper from 1956, A new interpretation of information rate isfreely available and is a model of clarity.
  11. MATHEMATICAL TRIPOS PART II (2022–2023)CODING AND CRYPTOGRAPHY…

    https://www.dpmms.cam.ac.uk/study/II/Coding/2022-2023/CC4-20.pdf
    11 Jan 2023: I therefore find a new pair of primes and announce that I shall be using theRabin code with modulus N ′ > N.
  12. Proofs for some results inTopics in Analysis T. W. ...

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2023-2024/Caesar.pdf
    25 Oct 2023: We deal with the case when z lies on the boundary of some S by erasingany sides through z and repeating the argument with the new (non-regular)grid.
  13. Topics in Analysis T. W. Körner October 25, 2023 ...

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2023-2024/Topic.pdf
    25 Oct 2023: Bertha’s choice, Albert changes his choice to p′ and then,knowing Albert’s new choice, Bertha changes to q′ and then. ... 13. that neither party can do better by unilaterally choosing a new value.

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