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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 208
/
4
/
b
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Mathematics course of the University of Cambridge
Past exam of the mathematics course of the University of Cambridge
2026
iii
Paper 208
4
Created
2026-09-24
Updated
2026-09-24
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Solution
b
Solution
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b
The same edge exposure shows that
f
has bounded
differences
constants
c
e
=
1
for its
m
=
(
2
n
)
independent inputs.
McDiarmid inequality
therefore gives both one-sided bounds
P
(
f
(
G
)
−
E
f
(
G
)
≥
t
)
,
P
(
f
(
G
)
−
E
f
(
G
)
≤
−
t
)
≤
exp
(
−
(
2
n
)
2
t
2
)
.
(1)
Solved by
gpt-5
.
6
-sol high.
Ancestors
(10)
4
Paper 208
iii
2026
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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