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8 Feb 2024: c) Consider a parametrisation of S2 {(0, 0, 1)} as a surface of revolution, i.e.σ(u, v) =. (f(u) cos v, f(u) sin v, g(u). )with WLOG ... Σ K dA. (a) The torus given by the image of σ(u, v) =((a b cos u) cos v, (a b cos u) sin v, sin u. ).

29 Nov 2023: 10if (ii) holds then (i)(a) is equivalent to (i)(b).11(ii) gives that (x,x) R. ... a2 3b2 2c2). Thus we see quickly that b = 0, a 2c = 0 and a2 2c2 = 6.

31 Aug 2023: cos(. kx φ1 φ22. )︸ ︷︷ ︸. g(x). = f (t) g(x). ... 0. q(t) = Aeω02Q t cos(ωt ϕ) q(t) = (At B)eω0t q(t) = Ae.

15 Apr 2024: 2π sin r and bounds a disc of area 2π(1 cos r).(b) For the Poincaré disc model (D, gD), and r (0, ), show that each circle C(p, r) ... b) Show that the map T from the Möbius group to C given by.

31 Aug 2023: 11. CHAPITRE 3. SÉRIES NUMÉRIQUES. IV Quelques applications. Application 3.17. (cos 1) ̸ Q. ... n 0, d’où :. cos 1 =n=0. (1)n. (2n)! Comme (1)n.