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Linearity

Given 2 functions x1 and x2, constants a and b, outputs y1 and y2, and system s
A system is linear if you take 
x1->S->y1, 
x2->S->y2 
z=a*y1+b*y2

a*x1+b*x2->S->a*y1+b*y2=w

If z==w then the system is linear
If z!=w then the system is nonlinear
This is better demonstrated by the diagram and examples below.
alt text

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva