Travaux dirigés 1 Notions de base

√10 √102= 10.
i i2=−1.
x= (1+3i)(2+2i)(3+i)
cos(π/2),sin(π/2) exp(iπ/2).
v
v2v.
v2v vv2.
v.
A=
2 4 6 8
10 12 14 16
18 20 22 24 
N v3= [0 1 2 ··· N−1N N −1··· 2 1].
v3
v3[N N −1··· 1 0 1 ··· N−1].

N
[26 28 30 32] A.
A
B
A
A
C=
101
010
101
, B ∗C B. ∗C
M10×10
M
D=
10 7 8 7
7 5 6 5
8 6 10 9
7 5 9 10
. D.
Dx =y y = [32 23 33 31]T
yb=y+ 0,1[1 −1 1 −1]T.
Db=
10 7 8,1 7,2
7,08 5,04 6 5
8 5,98 9,89 9
6,99 4,99 9 9,98
t= [0 0,01 0,02 . . . 1]

a= 1
σ
[−σ, σ] [−2σ, 2σ]
[−3σ, 3σ].
α1
f1α2
f2
N
f(x, y) = (x−1)2+p(x2−y)2p
a b
Rb
af(x)x≈f(a)(b−a).

f(x) = sin(πx)
πx
f0(t) = lim
h→0
f(t+h)−f(t)
hf0(t) = lim
h→0
f(t+h)−f(t−h)
2h
h
h10−12

h
x
t
t= 0 t=t .
π
π.
R1
0√1−x2x=π
4.
π
[0,1]×
[0,1]
π
4.
N[0,1] ×[0,1]