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ANALYSIS II EXAMPLES 1 Michaelmas 2005 J. M. E. ...
https://www.dpmms.cam.ac.uk/~jmeh1/Teaching/an05-1.pdf19 Mar 2008: 15. (Dirichlet’s Test) Let an and bn be real-valued functions on E R. ... 17. (i) (Abel’s Test) Let an and an be real-valued functions on E R. -
Optimization Michael Tehranchi/DPKExample sheet 1 - Easter 2008 1. ...
https://www.dpmms.cam.ac.uk/study/IB/Optimization/2007-2008/example1.pdf1 Nov 2008: Markowitz was awarded the Nobel Prize in Economics in 1990 in part forhis analysis of this problem.]. -
Some improvements to 4-descent on an elliptic curve Tom ...
https://www.dpmms.cam.ac.uk/~taf1000/papers/fourdesc.pdf2 Feb 2008: We have implemented this test in the caseK = Q and contributed it to Magma [13].Step 1. ... Let gi(X) = det(AiX Bi) for i = 1, 2. We test whether g1 and g2are equivalent, using one of the tests in [4], [5]. -
Part IID RIEMANN SURFACES (2008–2009): ExampleSheet 1 Some of ...
https://www.dpmms.cam.ac.uk/study/II/Riemann/2008-2009/rs-example1.pdf14 Oct 2008: Hint: Use the Weierstrass M-test fromAnalysis II to show that f is locally uniformly convergent.]. -
Complex analysis IB 2007 — lecture notes A J ...
https://www.dpmms.cam.ac.uk/~ajs1005/complex/notes_2006-7.pdf1 Feb 2008: zjwn1j) n |cn|ρn1 = Mn, say,. andMn converges since ρ < R, so by the Weierstrass M-test, the series con-. -
Mich. 2008 NUMBERS AND SETS — EXAMPLES 2 PTJ ...
https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2008-2009/N+S2.pdf3 Nov 2008: Find a similar test for divisibility by 11. 5. The Fibonacci numbers F1,F2,F3,. -
Pi-Calculus, Dialogue Games and PCF�J. M. E. Hylandy C.-H. ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/ho95.pdf21 Aug 2008: e. the zero agent. Successor, predecessor (omitted) and test for zero areinnite" objects: they are not compact as innocentstrategies. -
STATISTICAL MODELLING Part IIC. Example Sheet 4 (of 4) ...
https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2007-2008/controlled/ex4.pdf3 Feb 2008: In each case, explain how would you test these hypotheses, assuming that thefitted values in each cell are not too small. -
STATISTICAL MODELLING Part IIC. Example Sheet 2 (of 4) ...
https://www.dpmms.cam.ac.uk/study/II/StatisticalModelling/2007-2008/controlled/ex2.pdf3 Feb 2008: How would you perform the hypothesis test?[Hint: from the first example sheet rank(P) = p, and rank(I P) = np.Similar arguments give that rank(P0) = p0. -
Combining algebraic effects with continuations Martin Hyland,1 Paul…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2007/hlpp07.pdf7 Aug 2008: The axiomatisation seems rather weak, and it would be good to test it, per-haps by attempting to determine whether it implies the soundness of operationalsemantics of continuations and effects such
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