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1 Jan 2019: Advanced AnalysisLectures by Denis Serre. Notes by Alexis Marchand. ENS de LyonS1 2018-2019. M1 course. Contents1 Topological vector spaces 2. 1.1 Generalities. 21.2 Completeness. 3. 2 Convexity 42.1 Locally convex topological vector spaces. 52.2

2 Jan 2019: nts. 24 The Wolfson Review 2017–2018. Wolfson Research Event Aliandra Barlete (2016), Chair 2018.

3 Jan 2019: Practically all brain functions are controlled through a finely tuned balance of neuronal excitation and inhibition. The main inhibitory neurotransmitter

4 Jan 2019: be found in [15,24]. Defining the thermal model. Each weld bead (pass) is considered to be deposited as a block (sometimes called. ... 491.294. [24] A.F. Mark, R. Moat, A. Forsey, H. Abdolvand, P.J.

4 Jan 2019: Advanced GeometryLectures by Jean-Claude Sikorav. Notes by Alexis Marchand. ENS de LyonS1 2018-2019. M1 course. Contents1 Differentiable manifolds 2. 1.1 Generalities. 21.2 Submanifolds of RN. 3. 2 Differentiable maps and tangent bundle 42.1

6 Jan 2019: 24. 1. 5 Integral extensions 255.1 Integral elements. 255.2 Finiteness of invariants.

7 Jan 2019: f̃(ω) =. dt f(t)eiωt ; f(t) =1. 2π. dω f̃(ω)eiωt (24). ... G(x,t) = dωdk. (2π2). ei(kxωt). ρω2 iγω Tk2(29). A. (24 January 2002) (TURN OVER.

7 Jan 2019: " $#&%'() ,--. /10 243 24567 849 : 9/24: ;<9 0 :=84/ >9?@9 9 2A BCD4E 9 7 9 E FG0 9 7 FHD@9 I@J J J KLE 9 /: 90 ... kx m n l. q3 J 91JLz|{124IHP B0 I49 0 9 }u4/17 3 B124: v B10<7 849A BHB10 I43 24/17 9 : m n J 849bH3 249 7

7 Jan 2019: " $#&%'() ,---./10 243 24567 849 : 9/24: ;<9 0 :=84/ >9?@9 9 2A BCD4E 9 7 9 E FG0 9 7 FHD@9 I@J J J KLE 9 /: 90

7 Jan 2019: g. aB , ω2B = 12ga. l2(AB). so. ω2B = 12gal2B 24. ... 11. g2. l2ω2B ,. ω4 12gal2ω2 24. 11. g2. l2= 0 ,. and therefore. ω2 = 6ga. l2. 1. 1 2. 33. l2.