| Line 19: | Line 19: | ||
= {sin(2<math>\pi</math>*f*t)|0<math>\leq f < \infty</math>} | = {sin(2<math>\pi</math>*f*t)|0<math>\leq f < \infty</math>} | ||
| − | is all integers <math>-\infty</math> to <math>\infty</math>  | + | <math>\mathbb{Z}</math> is all integers <math>-\infty</math> to <math>\infty</math>  |
| − | Is routable? yes. | + | Is <math>\mathbb{Z}</math>routable? yes. |
={0,1,-1,2,-2,3,-3, }as opposed to  | ={0,1,-1,2,-2,3,-3, }as opposed to  | ||
Revision as of 16:35, 14 April 2013
If S is discrete and finite S = {$ s_1,s_2,s_3 $} S = {head,tail} S = {win, lose} S = {1,2,3,4,5,6}
1/9/13
S = {$ s_1,s_2,s_3 $}
If S is discrete but infinite,
S = {$ s_1,s_2,s_3 $,...} ex. S = {1,2,3,4,...}
S = {sin(2$ \pi $*440t),sin(2$ \pi $*880t),sin(2$ \pi $*1320t),...}
Observe $ _{S = \mathbb{R}} $ is not routable; S = [0,1] is not routable
S = {sin(2$ \pi $*f*t)} f $ \in \mathbb{R} \geq $ 0
= {sin(2$ \pi $*f*t)|0$ \leq f < \infty $}
$ \mathbb{Z} $ is all integers $ -\infty $ to $ \infty $ 
Is $ \mathbb{Z} $routable? yes. ={0,1,-1,2,-2,3,-3, }as opposed to 
= {0,3,e,,-1,1.14,, }
Many different ways to write a set [0,1] = {xsuch that(s. t.) 0x 1} ={real positive numbers no greater than 1 as well as 0}
