Intersection of two gaussian distribution functions

Can you please give me formulas which give intersection of two gaussian function

f(x, mu, sigma) = 1/sqrt(2*pi*sigma^2) * exp(-(x-mu)^2 / (2*sigma^2))

for the case variances are different.


(Note: I think it is time I learn how to use "tex" tags, do you know a good tutorial?)
 

mathman

Science Advisor
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What do you mean by "intersection"? The term intersection is usually used when talking about sets, not functions.
 
What do you mean by "intersection"?
The two points, where these two curves have the same (x, y) pairs on the graph.

Well, actually, I calculated the formula, but it is too messy without using "tex" tags...
 

Redbelly98

Staff Emeritus
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Why not just set the two Gaussian expressions equal to each other, and solve for x?

Info on [noparse][tex][/noparse] tag usage at Physics Forums can be found https://www.physicsforums.com/showthread.php?t=386951" [Broken]
 
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