(New page: == Linearity == <pre> 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->w I...)
 
(Linearity)
 
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z=a*y1+b*y2
 
z=a*y1+b*y2
  
a*x1+b*x2->S->w
+
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 linear
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This is better demonstrated by the diagram and examples below.
 
This is better demonstrated by the diagram and examples below.
 
</pre>
 
</pre>
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Latest revision as of 07:27, 18 September 2008

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

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