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8 Oct 2007: Hint: Use the Weierstrass M-test from Analysis II to show that these series are locallyuniformly convergent.].

8 Oct 2007: Hint: Use the Weierstrass M-test from Analysis II to show that these series are locallyuniformly convergent.].

17 Oct 2007: Find a similar test for divisibility by 11. 5. The Fibonacci numbers F1,F2,F3,.

28 May 2007: Theyshould test your knowledge of the course and not involve significant unseen problems to be solved.

18 Sep 2007: Theorem 3.7. (The comparison test.) We work in R. Suppose that0 bj aj for all j. ... Lemma 3.10. (Ratio test.) Suppose aj C and |aj1/aj| l as j.

3 Jun 2007: 4θ, f〉 = 〈θ, 4f〉 > 0. for every test function f which is smooth and has compact support in R.

26 Nov 2007: Ratherthen having two separate worlds, proofs are interpreted via proofs. To determineand test properties, a proof of A should be tested with proofs of A.

20 Apr 2007: 3) The t-test, F-test and so on in the statistics course next year dependon the diagonalisation of a symmetric matrix. ... 28. Anyone who believes that the study of finite commutative groups is trivialshould test their belief against the next collection

8 Nov 2007: Timelike geodesics correspond to“freely falling observers” or “test particles”. In principle, the metric g is “mea-sured” by examining the trajectories of these.

26 Nov 2007: Acknowledgments. I would like to thank Steve Donnelly for sharing his initial thoughtson this problem, and Mark Watkins for suggesting suitable test data,including the examples in 7.