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30 Apr 2024: In particular, in the case of applicants from groupsthat are currently under-represented at Cambridge1, or those who have had to overcome significanteducational disruption and/or socio-economic disadvantage, some Colleges2

27 Jun 2024: a) Using a function of 1nn. i=1 Xi, give a test of the above hypothesis, and findits properties under the null and alternative hypotheses. ... d) Give a short discussion of the advantages and disadvantages of your threeproposed tests in (a)-(c).

29 May 2024: Public key fingerprints for Maths machines. Hosts should normally have 2 fingerprints for use with SSH-2 (with RSA and DSA authentication). We no longer support SSH-1 on any of the systems and so no longer provide SSH-1 keys or fingerprint

27 Jun 2024: test_stat <- 2(logLik(model2) - logLik(model1)). > pval <- 1 - pchisq(test_stat, df = 1). ... err.train <- colMeans((Y - Y.hat)2). > err.test <- colMeans((Y.star - Y.hat)2). >

13 Feb 2024: Comparison and ratio tests, alternating series test. [6]. ContinuityContinuity of real- and complex-valued functions defined on subsets of R and C.

27 Jun 2024: 2. 1. Consider a randomized clinical trial to test the efficacy of a new drug. ... Zn given Nz =. ni=1 1{Zi=z},z = 0,1,2. (ii) Describe Fisher’s exact test in the analysis of 2 2 contigency tables.

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.

27 Jun 2024: Part III, Paper 327. 3. 2 Define the space of test functions D(Rn) and the space of distributions D′(Rn),defining the notion of convergence on each. ... 0 for each sequence of test functions {φm}m1 that converge to zero in D(Rn).

27 Jun 2024: carefully what Page and Geilker intended the experiment to test, beyond whatwas previously implied by experiment and observation. ... h = 6.6 1034 m2kg s1, mn = 1.67 1027kg.)(c) Does the Page-Geilker experiment test anything (however implausible) not

27 Jun 2024: ii) The test particle’s equation of motion can be written ẍ2ẏ = F and ÿ2ẋ = G,where. ... Explain how these equations result in5 equilibrium points for the test particle’s motion.