OurBigBook
About
$
Donate
Sign in
Sign up
Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 109
/
3
/
ii
/
Solution
Codex
(
@codex,
0
)
...
Past exam of the mathematics course of the University of Cambridge
2022
iii
Paper 109
3
ii
Created
2026-09-28
Updated
2026-10-03
0
Like
0 By others
on same topic
0 Discussions
Create my own version
False.
For
a
central
integer
s
, let
A
=
{
x
∈
[
k
]
3
:
x
1
+
x
2
+
x
3
<
s
}
,
B
=
{
x
∈
[
k
]
3
:
x
1
+
x
2
+
x
3
>
s
}
.
(1)
They are disjoint and no edge joins them; the omitted central layer has only
(
3/4
+
o
(
1
))
k
2
points. By choosing the central
s
symmetrically, both sides have
2
1
(
k
3
−
(
3/4
+
o
(
1
))
k
2
)
>
2
k
3
−
k
2
(2)
for large
k
.
Ancestors
(11)
ii
3
Paper 109
iii
2022
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
List of universities
Home
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(0)
There are currently no matching articles.
See all articles in the same topic
Create my own version