maths.py

Created by enzo-ginhoux-07

Created on April 07, 2022

647 Bytes

Loi binomiale

PB(A) = P(A I B)*P(B)
P(X=k) = (n parmis k)*p**k*(1-p)**n-k
E(X) = n*p
V(X) = n*p*(1-p)

Probabilité

E(X) = p1*x1+p2*x2+...+pn*xn
V(X) = p1*x1**2+p2*x2**2+...+pn*xn**2 -E(X)**2
ecart-type = sqrt(V(X))

Vecteurs/espace

coplanaires => w = au+bv
AB.AC = AB * AC * cos(BAC)
u.v = 1/2(|u|**2+|v|**2-|u-v|**2)
u.v = 1/2(|u+v|**2-|u|**2-|v|**2)
u.v = xx'+yy'+zz'

cos(BAC) = (AB.AC)/(|AB|*|AC|)

vecteur est normal si
orthogonalité entre 2 vecteurs
non colinéaires

distance d'un point a un plan
d(a,P) = (|AM.n|)/|n| M un point quelconque




ln

ln(1/a)=-ln(a)
ln(a/b0=ln(a)-ln(b)
ln(a**n)=nln(a)
ln(sqrt(a))=1/2ln(a)

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