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ANALYSIS I EXAMPLES 4 G.P. Paternain Lent 2012 Comments ...
https://www.dpmms.cam.ac.uk/~gpp24/aI_4.pdf14 Feb 2012: dx log n for n N. Show that In =. 1/20. f (t/n) dt and hence that|In| < 1/9n2. By considering. ... 7. Let In = π/20. cosn x. Prove that nIn = (n 1)In2, and hence 2n2n1 I2n1/I2n 1. -
nt12-2.dvi
https://www.dpmms.cam.ac.uk/~jmeh1/Teaching/nt12-2.pdf25 Oct 2012: D) In lectures I mentioned some observations of Fermat and Euler.(Fermat) If primes p and q are each congruent to one of 3 or 7 modulo 20 then thereproduct is ... congruent to 3 or 7 mod 20 then 2p is so expressible.What can you say about these -
ex3.dvi
https://www.dpmms.cam.ac.uk/~sjw47/RepTh3.pdf21 Feb 2012: Use these to reconstruct thecharacter table of S5. Then repeat, replacing S4 by the subgroup 〈(12345), (2354)〉 of S5 of order 20. -
ex3.dvi
https://www.dpmms.cam.ac.uk/~sjw47/Mich2012ex3.pdf8 Nov 2012: Use these to reconstruct thecharacter table of S5. Then repeat, replacing S4 by the subgroup 〈(12345), (2354)〉 of S5 of order 20. -
ex2.dvi
https://www.dpmms.cam.ac.uk/study/IB/Statistics/2011-2012/ex2.pdf16 Feb 2012: 20 and σ. 21 (> σ. 20). Show. that this test is a size α uniformly most powerful test for testing H′0 : σ2 σ20 against. ... Improved No difference WorsePlacebo 18 17 15Half dose 20 10 20Full dose 25 13 12. -
ANALYSIS I EXAMPLES 4 G.P. Paternain Lent 2012 Comments ...
https://www.dpmms.cam.ac.uk/study/IA/AnalysisI/2011-2012/aI_4.pdf14 Feb 2012: dx log n for n N. Show that In =. 1/20. f (t/n) dt and hence that|In| < 1/9n2. By considering. ... 7. Let In = π/20. cosn x. Prove that nIn = (n 1)In2, and hence 2n2n1 I2n1/I2n 1. -
numset12012.dvi
https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2012-2013/numset12012.pdf11 Oct 2012: 2. Between 10 and 20 there are 4 primes; does it ever happen again that there are 4 primesbetween two consecutive multiples of 10 (apart from between 0 and 10)? -
ex3.dvi
https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2011-2012/ex3.pdf21 Feb 2012: Use these to reconstruct thecharacter table of S5. Then repeat, replacing S4 by the subgroup 〈(12345), (2354)〉 of S5 of order 20. -
Mathematical Tripos: Part IB SMP/Lent 2012 Statistics: Example Sheet…
https://www.dpmms.cam.ac.uk/study/IB/Statistics/2011-2012/ex3.pdf28 Feb 2012: α (deg) 5 10 15 20 25 30 35 40 45sin 2α 0.1736 0.3420 0.5 0.6428 0.7660 0.8660 0.9397 0.9848 1range (m) 4860 -
Sheet2-12.dvi
https://www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/2012-2013/Sheet2-12.pdf27 Oct 2012: . . 1 1 00 3 20 1 0. . ,. . . 1 1 10 3 20 1 0. . ,. . . 1 1 11 3 11 1 1.
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