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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 129
/
3
/
a
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Mathematics course of the University of Cambridge
Past exam of the mathematics course of the University of Cambridge
2021
iii
Paper 129
3
2026-09-28
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Solution
a
Solution
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0
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a
For the
counting
-
measure
Lp norm
,
define
AP
2
m
(
f
;
X
)
=
{
t
∈
F
p
n
:
∥
τ
t
f
−
f
∥
2
m
≤
X
}
,
(
τ
t
f
)
(
x
)
=
f
(
x
+
t
)
.
(1)
This is the
set
of
Lp almost periods
of
f
with exponent
p
=
2
m
and error
X
.
Ancestors
(10)
3
Paper 129
iii
2021
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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