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11 Mar 2020: Berry Groisman. Further Complex Methods - Lent 2020. (Please, keep checking this page as it will be updated throughout the course. Material is examinable unless explicitly stated otherwise.). E-1: Analytic Continuation by Taylor series: Natural

23 Nov 2020: Lecture 16:Lecture 17:Lecture 18:Week 7:. Lecture 19:Lecture 20:Lecture 21:Week 8:. Lecture 22:Lecture 23:Lecture 24:Applied Functional and Harmonic Analysis, Centre for Mathematical Sciences,

2 Jun 2020: Example sheet 4 distributed on 12 March 2020. Office hour: Wed 4 March 2020, 15:30-16:30, B2.20. ... Example sheet 3 distributed on 27 February 2020. Office hour: Tues 18 Feb 2020, 14:30-15:30, B2.20.

8 Jan 2020: Michael Edgeworth McIntyre (mem at damtp.cam.ac.uk),Silver Street, Cambridge CB3 9EW. Last updated 20 February 2010.

8 Jan 2020: The score is available here as a pdf file (20 Kbyte), and a performance' of sorts is available here, as a computer-generated MP3 file, 1.3 Mbyte.

4 Feb 2020: L(f) = 12. 20. K(θ)f′′′(θ) dθ. with K(θ) = L(x 7 (xθ)2+). ... 2, 1 θ 2,0, else. One can verify that 20|K(θ)|dθ = 23.

13 May 2020: Φt =1. 2(Φrr0 20)x2. 1. 2Φzz0z. 2. 4. (b) Lagrange’s equations of motion are. ... d. dt. L. q̇=L. q. for q = {x,y,z}. Thus. ẍ = 20ẏ (Φrr0 20)x,ÿ 20ẋ = 0,.

26 Oct 2020: O(log. (1 )). |ρf (x0) µf (x0)| = O( log(1)) and need N 20/. ... 1.24:. 1.23:. 1.22:. 1.21:. 1.20:. 1.19:. 1.18:. 1.17:. 1.16:. 1.15:. 1.14:.

8 Oct 2020: iωx2). in S′(R), where ω R. 20. Show that the Fourier transform of (x1 ix2)1 is proportional to itself and find the constant of.

23 Jan 2020: L = L0 L1 L2. ,. where. L0 =1. 2r20Ω. 20 Φ0 = constant,.