hwo to measure steepness for a curve - beginner



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Topic: Science > Physics
User: "kimfinale"
Date: 30 Oct 2006 10:53:54 AM
Object: hwo to measure steepness for a curve - beginner
Hi all,
i am trying to compare several curves for their "steepness". The
curves i'm dealing with are generated numerically - sets of ordinary
differntial equations and nonlinear.
Each point of a curve represents fraction of a species of interest over
60,000 days. All of curves reach pleateaus before 60,000 days.
i think presenting the time to reach half-maximum will be a good
measure, but am wondering if their are better and more rigorous ways to
represent steepness of a curve.
thank you.
jhonny
.

User: "CWatters"

Title: Re: hwo to measure steepness for a curve - beginner 30 Oct 2006 12:06:55 PM
"kimfinale" <kimfinale@gmail.com> wrote in message
news:1162227234.447214.201460@b28g2000cwb.googlegroups.com...

Hi all,

i am trying to compare several curves for their "steepness". The
curves i'm dealing with are generated numerically - sets of ordinary
differntial equations and nonlinear.

Each point of a curve represents fraction of a species of interest over
60,000 days. All of curves reach pleateaus before 60,000 days.

i think presenting the time to reach half-maximum will be a good
measure, but am wondering if their are better and more rigorous ways to
represent steepness of a curve.

It's called differentiation...
http://web.mit.edu/wwmath/calculus/differentiation/definition.html
.
User: "CWatters"

Title: Re: hwo to measure steepness for a curve - beginner 30 Oct 2006 12:09:24 PM
"CWatters" <colin.watters@turnersNOSPAMoak.plus.net> wrote in message
news:45463f3c$0$8748$ed2619ec@ptn-nntp-reader02.plus.net...


"kimfinale" <kimfinale@gmail.com> wrote in message
news:1162227234.447214.201460@b28g2000cwb.googlegroups.com...

Hi all,

i am trying to compare several curves for their "steepness". The
curves i'm dealing with are generated numerically - sets of ordinary
differntial equations and nonlinear.

Each point of a curve represents fraction of a species of interest over
60,000 days. All of curves reach pleateaus before 60,000 days.

i think presenting the time to reach half-maximum will be a good
measure, but am wondering if their are better and more rigorous ways to
represent steepness of a curve.


It's called differentiation...

http://web.mit.edu/wwmath/calculus/differentiation/definition.html


If the time taken to reach the plataeu is important I would look at the time
taken to reach say 90% of the plateau height. Engineers 10% rule.
.



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