Intersection of two gaussian distribution functions

[hkBattousai]

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]

What do you mean by "intersection"? The term intersection is usually used when talking about sets, not functions.

 

[hkBattousai]

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]

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

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