Download Riemann's example of an integral that is not differentiable

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Transcript
Riemann’s function:
f x  


n1
n x
n2
ïƒ¬ï€ ïƒ¯ï€ x  nearest integer , when this is  1 2 ,
x  ïƒ­ï€ 1
0,
when
distance
to
nearest
integer
is
ïƒ¯ï€ ïƒ®ï€ 2
–2
–1
n x
n2
1
2
has n jumps of size 2 between 0 and 1
n
2
Document related concepts
no text concepts found
Similar