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May 15th, 2016, 10:09 PM   #1
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Local Minima and Local Maxima

Hello,
How can determine local minima and local maxima in under graph?
Thanks
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 May 16th, 2016, 09:51 AM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,189 Thanks: 871 Do you not know what "local minima" and "local maxima" mean? A point on an xy- graph is a "local minimum" if and only if The y-value at that point is lower than that of points in some small interval around it. On this graph the point at what looks like (30, 4000) (we can only estimate those values, of course) is not just a "local" maximum but a "global" maximum. It also looks like (40, 600) is a local maximum but that's more subtle. Similarly, it looks like (51, 500) is a local minimum. There are, of course, several more. If you are looking for a way of calculating precise values from this graph, there are none. Look at the graph and pick points that appear to be higher (or lower) than points immediately around them. Thanks from skeeter and life24
May 16th, 2016, 10:42 AM   #3
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Quote:
 Originally Posted by Country Boy Do you not know what "local minima" and "local maxima" mean? A point on an xy- graph is a "local minimum" if and only if The y-value at that point is lower than that of points in some small interval around it. On this graph the point at what looks like (30, 4000) (we can only estimate those values, of course) is not just a "local" maximum but a "global" maximum. It also looks like (40, 600) is a local maximum but that's more subtle. Similarly, it looks like (51, 500) is a local minimum. There are, of course, several more. If you are looking for a way of calculating precise values from this graph, there are none. Look at the graph and pick points that appear to be higher (or lower) than points immediately around them.
Why we haven't local maximum?
How can calculate these feature with formula?
What are formula?
Thanks

 May 16th, 2016, 11:35 AM #4 Math Team   Joined: Jul 2011 From: Texas Posts: 2,755 Thanks: 1405 Do you have a function that models the graph, or is this just a plot of connected data points?
May 16th, 2016, 12:14 PM   #5
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Quote:
 Originally Posted by skeeter Do you have a function that models the graph, or is this just a plot of connected data points?

Thank you,
Just a plot of connected data points

May 16th, 2016, 01:01 PM   #6
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Quote:
 Originally Posted by life24 Just a plot of connected data points
There are numerical methods to determine extrema of data plots as discussed at the link ...

Finding Local Extrema » File Exchange Pick of the Week

May 16th, 2016, 01:58 PM   #7
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Quote:
 Originally Posted by skeeter There are numerical methods to determine extrema of data plots as discussed at the link ... Finding Local Extrema » File Exchange Pick of the Week
Thanks
If we suppose a function that models the graph,now how can determine?

 May 16th, 2016, 03:34 PM #8 Math Team   Joined: Jul 2011 From: Texas Posts: 2,755 Thanks: 1405 Good question ... given the graph's behavior, I imagine it wouldn't be easy.

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