Quote:Suite arithmétique:
un +r
u0 + n*r
((u0+un)(n+1))/2

Suite géométrique:
u0*qn
u0*(1-q^(n+1))/(1-q)

(f(a+h)-f(a))/h


Propabilités :
Pb(A) = P(AnB) / P(B)
Pa(B) = P(AnB) / P(A)
P(AuB) = P(A) + P(B) - P(AnB)

A et B indép si :
Pb(A) = P(A)
Pa(B) = P(B)
P(AnB) = P(A) * P(B)

Nombres complexes :
|z| = sqrt(a^2 + b^2)
(z+z')| = z| + z'|
(zz')| = z|z'|

cos a = a / |z|
sin a = a / |z|
=> système !

exp : |z|e^(io)
o = angle

|z z'| = |z| |z'|
|z^n| = |z|^n
|1/z| = 1/|z|
|z/z'| = |z| / |z'|

arg(z z') = arg(z) + arg(z')
arg(z^n) = n arg(z)
arg(1/z) = - arg(z)
arg(z/z') = arg(z) - arg(z')

z z' = |z|e(io) * |z'|e(io') = |z z'|e(i(o+o'))
z^n = (|z|e(io))^n = |z|^n e(ion)
1/z = 1/(|z|e(io)) = 1/|z| e(-io)
(|z|e(io)) / (|z'|e(io')) = |z| / |z'| e(i(o-o'))

AB = |zB - zA|
(u, AB) = Arg(zA - zB) (2pi)
(AB, CD) = Arg((zB-zC) / (zB - zA))