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 How to get the sigmoidal line£¿
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rainbowkoala

29 Posts

Posted - 10/19/2013 :  06:26:20 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Ver. and Service Release (Select Help-->About Origin): OriginPro 8.5.0 SR1
Operating System: win7
When the sigmoidal line (short dot) is drawn, the only condition is that tangents are drawn from the beginning of each specified limit.

Please find more details in the insert image.

Thanks for your help.




Edited by - rainbowkoala on 10/19/2013 06:56:29 AM

Echo_Chu

China
Posts

Posted - 10/21/2013 :  05:29:30 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi, Koala

I am a little confused and not so clear the relationship of tangent lines and the sigmoidal lines.

Do you mean you have known the tangents of sigmoidal lines, which is the solid line in image and you want to find the sigmoidal line which is drawn in short dot in your image

Echo
OriginLab Corp.
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rainbowkoala

29 Posts

Posted - 10/23/2013 :  09:57:10 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi, Echo
I appreciate the detailed and useful comment. Yes, you are right. Then How to get the sigmoidal line£¿
Thanks for your help.
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Hideo Fujii

USA
1582 Posts

Posted - 10/24/2013 :  11:50:13 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi rainbowkoala,

It seems you don't have any specific sigmoidal function. The left asymptote seems not a constant Y.
So, I assume that drawing such curve numerically is enough for your purpose. Then, the following crude
method may satisfy you. Please see the attached screenshot.

Here, you first should have the coordinates and the slopes of the START and GOAL points (it seem
you have already); and you can give the estimates of the X position of the local minimum and the
inflection point. The idea is that you can create the interpolated slopes (col(D)) from these values,
then get the function values (col(G)) based on that. These column calculation and plot (Graph1)
are automatically recalculated by changing the specific entered slope at the inflection point.

You can just manually enter this value until you get the satisfied Y value at the GOAL as seen in the graph.



If you have the model function, and the coordinates of some data points, you may better take the fitting approach.
Anyway, I hope this helps a bit for your project.

--Hideo Fujii
OriginLab
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