Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Unit interval
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
===Orientation=== The unit interval is a [[curve]]. The open interval (0,1) is a subset of the [[positive real numbers]] and inherits an orientation from them. The [[curve orientation|orientation]] is reversed when the interval is entered from 1, such as in the integral <math>\int_1^x \frac{dt}{t} </math> used to define [[natural logarithm]] for ''x'' in the interval, thus yielding negative values for logarithm of such ''x''. In fact, this integral is evaluated as a [[signed area]] yielding ''negative area'' over the unit interval due to reversed orientation there.
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)