What the meant of the symbols # and & on the following example

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Chris

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Jan 29, 2013, 2:42:30 AM1/29/13
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Bellow is presented an eigenvalue resultant of a jacobian matrix... where appears (..)#1 and (..)#1^2,& what it means?

Root[C0 CG^2 vG^2 vL \+(2 C0 CL^2 vG vL \[Alpha]^2 \[Rho]L^2+C0 CL^2 vL^2 \[Alpha]^2 \[Rho]L^2) #1+([Alpha] \[Rho]L^2-C0 CL^2 vG \[Alpha]^2 \[Rho]L^2-2 C0 CL^2 vL \[Alpha]^2 \[Rho]L^2) #1^2&,1]

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svke...@aol.com

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Jan 30, 2013, 10:05:23 PM1/30/13
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This is what Mathematica calls a pure function. The # represents a variable. #1 is one variable, #2 would be another. In your result, #1 is one new variable Mathematic added. #1^2 is that variable squared. The & is just a sign that the preceding is a pure function.

For example, you could write a function lixe this:

f[x]:= x^2

or you could write it as a pure function:

f=#^2&

Either way, f[3] would give you an answer of 9, and f[x+y] would return (x+y)^2.





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