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4 Apr 2018: and Δ : B B B are monoidmorphisms, where B B is a monoid with the structure described earlier. ... χ: [A, B] [A′, B] [A A′, B B] [1,μ] [A A′, B] χ0 : I = [I, I] [I,ι] [I, B].

28 Nov 2018: A group (G, ,e) is abelian2 if for all a,b G we have a b = b a. ... f ′(f(z)) =a′(azbczd) b. ′. c′(azbczd) d′. =a′(az b) b′(cz d).

18 Dec 2018: On appelle tribu engendrée par X la tribu :. σ(X) ={X1(B), B E. }. ... B B, P(B) {0, 1}. Si X est B-mesurable, alors X est presque-sûrement constante.(ii) Soit f : R R mesurable t.q.

20 Dec 2018: ii) Let A = {1, 2, 3, 4, 5, 6} and B = {0, 1}. ... If c, c̃ : A B are given byc(0) = 0 c̃(0) = 0.

28 Apr 2018: Soit γ : [a,b] Σ un chemin C1. Alors :. E(γ) > (γ)2. ... Alors :t I, ‖u(t)‖ 6 1. aea|tt0| (a‖u (t0)‖ b). b.

8 Jan 2018: Set u = y x0 and b =(‖u‖)1u. Observe that. (x (b x)b) b = 0so, since E has dimension n 1, we have. ... a)(i) Given c C we can find b B with g(b) = c and a A withf(a) = b.

16 Jul 2018: results in [WZ17b]. After the classification result (Theorem B), the chapter continues with conse-. ... phic profinite completions, then they are commensurable. Following this we will use the techniques from Theorem B to investigate two other.

7 Jan 2018: une forme n-linéaire. (ii) Si A est une k-algèbre, alors l’applicationAAA(a,b) 7 ab est bilinéaire. ... Définition 6.1.3 (Groupe abélien). On dit qu’un groupe G est abélien (ou commutatif) lorsque(a,b) G2, a b = ba.

7 Jan 2018: En notant B labase canonique de C, on a :. MB (df (z0)) =(Px. ... C1 et de longueur L et f une fonction continuesur γ ([a,b]).

22 Mar 2018: Alors TX = {UB U, B B}. Ainsi, B est une base de TX. ... On considère :. E ={x [a,b], B Pf(A), [a,x]. αBOα}. Notons que E 6= car a E.