Gaussian curve, x is a log scale

492
2
Hello!
If I have the gaussian function, but x is a loarithmic scale. Can I infer that, if x was plotted using a regualr scale, that the function would be 'fairly' linear? At least initially? As the rate of change gradually increases befor slowing down again. I think this is reasonable... I don't know how to try and represent it mathematically.
 

HallsofIvy

Science Advisor
41,626
821
The Gaussian curve is
[tex]y= ae^{-x^2}[/tex]
so if x is a log scale you have
[tex]y= ae^{-(log x)^2}[/itex]
No, that is not a linear function.
 
492
2
Thanks Halls.
 

The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top