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(un) n = 1, 2, . . . 0 a < b 1 a, b [a,b] [a, b] characterictic function
 

Summary: Pisot
16 4 17
1 Pisot
Pisot 1
(un) n = 1, 2, . . . 0
a < b 1 a, b [a,b] [a, b] characterictic function
(x) =
1, x [a, b]
0, x [a, b]
(un) un : u.d. mod 1
lim
N
N
n=1
[a,b]({un}) =
1
0
[a,b](x)dx = b - a
0 a < b 1 {x} x
(un) [0, 1)

  

Source: Akiyama, Shigeki - Department of Mathematics, Niigata University

 

Collections: Mathematics