TP1 : exercices d`oral type E3A PSI

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n n n
n∈Nn
n∈Nn
K∈NK p
K∈Np, q p < q ≤K
[p, q]
(p, q)
A B
M N N M N
M
A B
[1,2,0,5,8,0,0,0,7] [[1,2,5,8,7],[0,1,3,4,8]]

p= 0 p= 1
k k p p
n
(1,2,3,4,5,6,7,8, . . . )→(1,3,5,7,9,11,13,15, . . . )→(1,3,7,9,13,15,19, . . . )→. . .
n∈N∗n
n∈N∗Unn
4n
U2
n
`
n|4n
U2
n
−`| ≤ 10−3