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  2. 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.
  3. Contents Units Introduction 1 Numerical Methods 1.1 Fourier…

    https://www.maths.cam.ac.uk/undergrad/catam/II/IIcontents.pdf
    31 Jul 2023: 15 Number Theory. 15.1 Primality Tests 9. 15.10 The Continued Fraction Method for Factorisation 8.
  4. 16 Algebra 16.1 The Galois Group of a Polynomial ...

    https://www.maths.cam.ac.uk/undergrad/catam/II/16pt1.pdf
    31 Jul 2023: Include in your report some test output from allthree procedures. Describe an efficient way of using your procedures to compute a largepower of one polynomial modulo another polynomial.
  5. 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.
  6. MAT2 MATHEMATICAL TRIPOS Part II Tuesday, 04 June, 2024 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/paperii_2_2024.pdf
    3 Jul 2024: satisfying the usual regularity conditions, where Θ Rp. Suppose we wish to test. ... By considering an appropriate Taylor expansion, show that the two test statisticsabove are asymptotically equivalent, in the sense that.
  7. 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.
  8. 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.
  9. 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,.
  10. 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.
  11. 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).
  12. MATHEMATICAL TRIPOS Part II 2024 List of Courses Algebraic ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/list_ii.pdf
    4 Jul 2024: MATHEMATICAL TRIPOS Part II 2024. List of Courses. Algebraic Geometry. Algebraic Topology. Analysis of Functions. Applications of Quantum Mechanics. Applied Probability. Asymptotic Methods. Automata and Formal Languages. Classical Dynamics. Coding
  13. MATHEMATICAL TRIPOS Part IA 2024 List of Courses Analysis ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/list_ia.pdf
    3 Jul 2024: 9F Analysis I. (i) State and prove the ratio test about the convergence of series.
  14. 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.
  15. MAT2 MATHEMATICAL TRIPOS Part II Friday, 07 June, 2024 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/paperii_4_2024.pdf
    3 Jul 2024: What is the AIC value of that model? (e) State the null and alternative hypotheses for the test performed in the codebelow and describe the form of the test.
  16. MAT2 MATHEMATICAL TRIPOS Part II Monday, 03 June, 2024 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2024/paperii_1_2024.pdf
    3 Jul 2024: c) State the null and alternative hypotheses for the hypothesis test performed usingthe anova command. ... Part II, Paper 1 [TURN OVER]. 28. 38B General Relativity. Consider a massive test particle moving in the Schwarzschild metric of a black holewith
  17. 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
  18. 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.
  19. Introduction 1 General Please read the whole of this ...

    https://www.maths.cam.ac.uk/undergrad/catam/II/IIintro.pdf
    29 Aug 2023: For example, use of a command to test whether an integer is prime would notbe allowed in a project which required you to write a program to find prime numbers. ... you must write and test all programs yourself, and all reports must be writtenindependently

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