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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

21 Feb 2024: 1. Motivations:. • Principles of causal inference: motivations; historical perspectives; basic concepts.• Randomized experiments: randomization tests, regression adjustment and its asymp-totic inference. •

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.

21 Feb 2024: Theonly way in which we may test stellar structure and evolution theory is through the comparisonof theoretical results to observations.

21 Feb 2024: Principal component analysis. • Introduction to time series. Prerequisites. Elementary probability theory, maximum likelihood estimation, hypothesis tests and confidenceintervals, linear models.

21 Feb 2024: Secular perturbations: Laplace coefficients, Laplace-Lagrange theory, test particles, secu-lar resonances, Kozai cycles, hierarchical systems. •

21 Feb 2024: the solar system tests of GR, will not be covered in this course.

21 Feb 2024: Methods for comparing two time-to-eventdistributions (as in a clinical trial of an active treatment versus a placebo) are derived(log-rank test).

21 Feb 2024: We will cover most or all of the following topics:. • Definable sets, elementary substructures, and the Tarski-Vaught test;. •

21 Feb 2024: First we will cover the basic definitions for distributions and related spaces of test functions.Then we look at operations such as differentiation, translation, convolution and the Fouriertransform.