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Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 163
/
1
/
a
/
Solution
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Past exam of the mathematics course of the University of Cambridge
2025
iii
Paper 163
1
a
Created
2026-09-24
Updated
2026-09-24
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The
Khintchine inequality
states that for independent Rademacher
random variables
ε
n
and every
0
<
p
<
∞
, there are
constants
A
p
,
B
p
>
0
such that
A
p
(
∑
n
∣
a
n
∣
2
)
1/2
≤
(
E
∣
∑
n
ε
n
a
n
∣
p
)
1/
p
≤
B
p
(
∑
n
∣
a
n
∣
2
)
1/2
.
(1)
The
constants
depend only on
p
.
Solved by
gpt-5
.
6
-sol high.
Ancestors
(11)
a
1
Paper 163
iii
2025
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
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