(Example of a Non-Linear System)
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== Example of a Non-Linear System ==
 
== Example of a Non-Linear System ==
Blah
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The following system is non-linear:
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<math>\,y(t)=2x(t)+3\,</math>
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Proof:

Revision as of 17:36, 11 September 2008

Definition of Linearity

A system is linear if for any inputs $ \,x_1(t), x_2(t)\, $ yielding outputs $ \,y_1(t), y_2(t)\, $, respectively, the response to

$ \,ax_1(t)+bx_2(t)\, $ is

$ \,ay_1(t)+by_2(t)\, $, where $ \,a,b\in \mathbb{C}, a\not= 0 ,b\not= 0\, $.

Example of a Linear System

Blah

Example of a Non-Linear System

The following system is non-linear:

$ \,y(t)=2x(t)+3\, $


Proof:

Alumni Liaison

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

Francisco Blanco-Silva