# What is always increasing and decreasing at the same time?

Page 2 of 2
Goto page Previous  1, 2

709154.  Thu May 13, 2010 11:08 pm

 Quote: What is always increasing and decreasing at the same time?

Can I just point out that any old iron can both be (in)creasing and decreasing at the same time.

732412.  Mon Aug 09, 2010 6:38 am

To get back on topic:
 ChristopherRobin wrote: Stephen: Monotone. If a function is strictly increasing, it increases steadily, that is to say, without staying constant. A monotone increasing function, on the other hand, is increasing, but is allowed intervals where it stays constant. Decreasing is the same, only in the opposite direction. Alan: Ben, do you understand what he's saying? Ben: Yes. And I understand now. A constant function is both monotone increasing and monotone decreasing. What I meant just now was that a constant function is neither strictly increasing nor strictly decreasing. I didn't specifically say the word "strictly" so Stephen took me to mean the other one, that sly old bastard.
Wrong. With regard to functions, "increasing" does indeed mean "strictly increasing". What Stephen termed "monotone increasing" is termed "non-decreasing". BTW "increasing steadily" doesn't mean "increasing without staying constant". A function can be increasing everywhere, but in an unsteady way.

 732807.  Tue Aug 10, 2010 10:53 pm I still think my answer is better (and funnier)

Page 2 of 2
Goto page Previous  1, 2

All times are GMT - 5 Hours

Display posts from previous:

Forum tools
User tools