Confused about simple max{,} notationby dtessela Tags: compton, max, notation, rayleigh, scattering 

#1
May712, 07:21 PM

P: 2

I'm working on a project that required me to go through the literature to find some information on Compton and Rayleigh scattering. I came across a key expression, part of it which read:
max{ f(x,Z), g(x,Z) } if Z > 10 and f(x,Z) < 2 where f(x,Z) and g(x,Z) are known functions. The problem is I don't understand the max{f(x,Z),g(x,Z)} notation. I have done some poking around on the interwebs but nothing really helpful has come up. Thanks for future help! D 



#2
May712, 07:24 PM

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#3
May912, 07:58 AM

P: 443

Here are some examples for you:
max{10, 3} = 10 max{1, 100} = 1 if x = 30*3 and y = 40! and z = 40^2 then max{x, y, z} = y if f(x) = 2x + 10 and g(x) = x^3 then when x = 1 max{f(x), g(x)} = f(x) 



#4
May912, 08:10 AM

Math
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P: 38,894

Confused about simple max{,} notation
Notice that max{a, b} applied to numbers a and b. max{f(x), g(x)} is actually a function, h(x), that, to each value of x, gives the larger of the two numbers f(x) and g(x) for that particular x.




#5
May912, 10:23 AM

P: 2




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