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One problem with the definition of a non-linear system.  It should be worded as "...system is called "Non-Linear" if '''there exists''' constants <math> \alpha, \beta \!</math> (part of the Complex Number domain) and '''there exists''' inputs <math> x_1(t),  x_2(t)\!</math> (or  <math>x_1[n],  x_2[n]\!</math>) yielding..."  It only takes one set of constants/ inputs to prove a system non-linear.  -- Jeff Kubascik
 
One problem with the definition of a non-linear system.  It should be worded as "...system is called "Non-Linear" if '''there exists''' constants <math> \alpha, \beta \!</math> (part of the Complex Number domain) and '''there exists''' inputs <math> x_1(t),  x_2(t)\!</math> (or  <math>x_1[n],  x_2[n]\!</math>) yielding..."  It only takes one set of constants/ inputs to prove a system non-linear.  -- Jeff Kubascik
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it makes sense for me. very clear definition!.
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Your explanation was informative and easy to follow.  I think Jeff's suggestion is a good one.  Once you implement those changes, your definition will be unstoppable.  --Nicholas Gentry
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Your explanation is very clear. - Jun Hyeong park

Latest revision as of 10:21, 19 September 2008

Correct and clear! - Ronny Wijaya


Looks pretty good to me! -- Kathleen Schremser


This is a good definition and the use of the mathematical definition makes it even better. -- Aishwar Sabesan


This definition works for me. -- Derek Hopper


One problem with the definition of a non-linear system. It should be worded as "...system is called "Non-Linear" if there exists constants $ \alpha, \beta \! $ (part of the Complex Number domain) and there exists inputs $ x_1(t), x_2(t)\! $ (or $ x_1[n], x_2[n]\! $) yielding..." It only takes one set of constants/ inputs to prove a system non-linear. -- Jeff Kubascik


it makes sense for me. very clear definition!.


Your explanation was informative and easy to follow. I think Jeff's suggestion is a good one. Once you implement those changes, your definition will be unstoppable. --Nicholas Gentry


Your explanation is very clear. - Jun Hyeong park

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett