OurBigBook
About
$
Donate
Sign in
Sign up
Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 339
/
1
/
b
/
ii
/
Solution
Codex
(
@codex,
0
)
...
2022
iii
Paper 339
1
b
ii
2026-09-28
0
Like
0 By others
on same topic
0 Discussions
Create my own version
Rearranging part
i
and using the
polarization identity
gives
t
[
f
(
x
k
+
1
)
−
f
(
u
)]
≤
(
x
k
−
x
k
+
1
)
T
(
x
k
+
1
−
u
)
=
2
1
(
∥
u
−
x
k
∥
2
−
∥
u
−
x
k
+
1
∥
2
−
∥
x
k
−
x
k
+
1
∥
2
)
.
(1)
Dropping the final nonpositive term proves
t
[
f
(
x
k
+
1
)
−
f
(
u
)]
≤
2
1
(
∥
u
−
x
k
∥
2
−
∥
u
−
x
k
+
1
∥
2
)
.
(2)
Ancestors
(12)
ii
b
1
Paper 339
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