Jump to content

Wikipedia:Reference desk/Archives/Mathematics/2014 June 8

From Wikipedia, the free encyclopedia
Mathematics desk
< June 7 << May | June | Jul >> June 9 >
Welcome to the Wikipedia Mathematics Reference Desk Archives
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages.


June 8

[edit]

Function meeting a requirement

[edit]

What possible expressions could I use to define the function such that , , for all over , and for all over ? I know that satisfies those conditions, but I feel like I've seen others that do as well. Possible one involving cosine. — Melab±1 03:49, 8 June 2014 (UTC)[reply]

This one
.
Bo Jacoby (talk) 05:31, 8 June 2014 (UTC).[reply]
Your requirement is somewhat unclear - what if is negative, or is greater than |x| ? So I'm going to assume your requirement is satisfied if has strictly positive gradient when x is negative and has strictly negative gradient when x is positive. An example involving cosine could be
Gandalf61 (talk) 09:43, 8 June 2014 (UTC)[reply]
? —Tamfang (talk) 09:14, 9 June 2014 (UTC)[reply]
Other random suggestions:
Icek (talk) 11:42, 9 June 2014 (UTC)[reply]

Edited cos and log to \cos and \log. :) --CiaPan (talk) 17:15, 9 June 2014 (UTC)[reply]