# Term/phrase for curve or surface with one minimum

This topic is 3983 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

## Recommended Posts

Is there a term or phrase to distinguish a curve or a surface that has one minimum, like so: http://math.feld.cvut.cz/mt/txtc/3/gifa3/pc3ca3bb.gif from one that has more than one minimum, like so: http://www.science.ubc.ca/~csp/life/StudentSamples/Website1/images/theory2.gif

##### Share on other sites
Hmmmm....a curve/surface that has no local minima/maxima is monotone. Not sure if there's a special name for a curve/surface with only one minima/maxima.

##### Share on other sites
Even if it not a standard phrase, it may convey the meaning.

or can one describe in a more mathematical way, e.g. a curve such that f'(x) = 0 for only one value of x?

##### Share on other sites
unimodal

Edit: though unimodal really refers to just one maximum...

##### Share on other sites
First off no clue, but I would call the one with only a maximum negative and the one with only a minimum positive as it would correspond to graphing a quadratic. -(x^2) = y only has a max. also slope for x > 0 is negative.
x^2 = y only has a min. also slope for x > 0 is positive.

1. 1
2. 2
3. 3
4. 4
Rutin
13
5. 5

• 13
• 10
• 9
• 9
• 11
• ### Forum Statistics

• Total Topics
633692
• Total Posts
3013355
×