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  2. 3 Fluid and Solid Mechanics 3.10 Smoke Rings (8 ...

    https://www.maths.cam.ac.uk/undergrad/catam/II/3pt10.pdf
    31 Jul 2023: This problem can also be solved analytically; use the analytic so-lution to test your code.
  3. Mathematical Tripos Part II Astrophysics Tripos Part II Computational …

    https://www.maths.cam.ac.uk/undergrad/catam/II/IImanual.pdf
    10 Apr 2024: 15 Number Theory. 15.1 Primality Tests 9. 15.10 The Continued Fraction Method for Factorisation 8. ... you must write and test all programs yourself, and all reports must be writtenindependently.
  4. Quantum Information, Foundations and Gravity (M16) Prof. Adrian Kent…

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/GtC/Quantum%20computation%2C%20Information%20and%20Foundations/Quantum_Information_Foundations_And_Gravity_Kent.pdf
    21 Feb 2024: aim to use the properties of quantum informationto test whether gravity is indeed mediated by quantum particle exchange.
  5. 2 Waves 2.2 Dispersion (7 units) This project assumes ...

    https://www.maths.cam.ac.uk/undergrad/catam/II/2pt2.pdf
    31 Jul 2023: Use this to test the program for t up to 10 s, taking σ = 0.5 m, k0 = 0 m1 and c0 = 1 m s.
  6. 2.4 Sensitivity of Optimisation Algorithms to Initialisation This…

    https://www.maths.cam.ac.uk/undergrad/catam/IB/2pt4.pdf
    31 Jul 2023: Question 4: Test this method out: fix θ = π4 , and for k {0,1, ,10}, take h = 0.12k,.
  7. MATHEMATICAL TRIPOS 2023-24 GUIDE TO COURSES IN PART IA ...

    https://www.maths.cam.ac.uk/undergrad/files/coursesIA.pdf
    22 Aug 2023: know the definition of the Riemann integral, be able to test simple functions for integrability, andestablish the rules for integration.
  8. 2.2 Parallel-Plate Capacitor: Laplace’s Equation This project is…

    https://www.maths.cam.ac.uk/undergrad/catam/IB/2pt2.pdf
    31 Jul 2023: Question 2 Test your program as follows. Take L = 1 and h = 12 and (DX,DY ) =(2, 2).
  9. MATHEMATICAL TRIPOS 2023-24 GUIDE TO COURSES IN PART II ...

    https://www.maths.cam.ac.uk/undergrad/files/coursesII.pdf
    22 Aug 2023: No previous knowledge of economics or finance is necessary. It complements, but does notrely on, Markov Chains.
  10. UNIVERSITY OF CAMBRIDGE Faculty of Mathematics MATHEMATICS WORKBOOK…

    https://www.maths.cam.ac.uk/undergrad/admissions/files/workbook.pdf
    22 Aug 2023: The best way to do this is to practice problem-solving. Onesource of problems is past STEP papers (available on the Cambridge Assessment STEP web
  11. MAT1 MATHEMATICAL TRIPOS Part IB Friday, 09 June, 2023 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2023/paperib_4_2023.pdf
    7 Jul 2023: c) Compare the variances of θ̂LS and θ̂MLE. (d) Suppose we wish to test the hypotheses H0 : θ = 1 versus H1 : θ = 2. ... Describea hypothesis test with test statistic θ̂MLE, which has approximate size 0.05 when.

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