Course Notes, January 23, 2009
Side Note: Issues with Rhea
Issue #1: Scaling horizontally of entire page causes top navigation to shrink too far and become ridiculous...
Solution: CSS Styling min-width: 800px; or something around that on the div containing the black navigation header will resolve this issue;
Issue #2: Drop Down menus do not work on Internet Explorer 6
Solution: Javascript plugins can be used to create drop down menus on an If IE6 check
Issue #3: Creating Completely new pages isnt clear on how to do
Solution: Be more clear and have more informative navigation
The features of this site are completely within the bounds of IE6 with a little work...Far more difficult has been accomplished in ie6
- I think these comments should be put here instead. I took the freedom to move them. Whoever wrote these comments, please feel free to go put your signature next to each issue and/or solution on the page.--Alibaba 16:21, 26 January 2009 (UTC)
Professor Mimi's Definitions of System Properties
Use of diagrams makes this difficult to add in, please see previous days lecture notes for the properties of Linearity and Time-Invariance.
- Causality
- if for any $ t_0\,,x_1(t) = x_2(t), \forall t \leq t_0 $
$ \Rightarrow y_1(t)=y_2(t), \forall t \leq t_0 $
output at t0 depends on input at $ t \leq t_0 $ only.
- if for any $ t_0\,,x_1(t) = x_2(t), \forall t \leq t_0 $
- BIBO Stable (Bounded-Input-Bouned-Output Stability)
- if any bounded input yields a bounded output.
i.e. if x(t) / x(n) st $ M_x < \infty $
$ \Rightarrow y(t)/ y(n) $s.t. $ M_y < \infty $ - To show stability mathematically use triangle inequality. We assume x(n) is bounded and try to show y(n) is then also bounded
- if any bounded input yields a bounded output.
