| Line 3: | Line 3: | ||
==Memory-less system== | ==Memory-less system== | ||
| − | A system is memory less if for any <math>t_0 \epsilon \mathbb{R}</math>, the output at <math>t_0</math>: <math>y(t_0)</math> depends only on the input at <math>t_0</math> (not at past or future time). | + | A system is memory less if for any <math>t_0, \epsilon, \mathbb{R}</math>, the output at <math>t_0</math>: <math>y(t_0)</math> depends only on the input at <math>t_0</math> (not at past or future time). |
==System with memory== | ==System with memory== | ||
| − | A system is with memory if for any <math>t_0 \epsilon \mathbb{R}</math>, the output at <math>t_0</math>: <math>y(t_0)</math> depends on the input at past or future time. | + | A system is with memory if for any <math>t_0, \epsilon, \mathbb{R}</math>, the output at <math>t_0</math>: <math>y(t_0)</math> depends on the input at past or future time. |
Revision as of 08:46, 16 September 2008
Memory
Memory-less system
A system is memory less if for any $ t_0, \epsilon, \mathbb{R} $, the output at $ t_0 $: $ y(t_0) $ depends only on the input at $ t_0 $ (not at past or future time).
System with memory
A system is with memory if for any $ t_0, \epsilon, \mathbb{R} $, the output at $ t_0 $: $ y(t_0) $ depends on the input at past or future time.
