Difference between revisions of "ECE302S13Notes" - Rhea

Revision as of 05:03, 15 April 2013

Note: this is the first of many pages to be uploaded.

1/9/13

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}

If S is discrete but infinite,

S = { $s 1, s 2, s 3$ ,...} ex. S = {1,2,3,4,...}

    S = {sin(2 $π$ *440t),sin(2 $π$ *880t),sin(2 $π$ *1320t),...}
   Observe  $_{S = \mathbb{R}}$  is not routable; S = [0,1] is not routable
   S = {sin(2 $π$ *f*t)} f  $\in \mathbb{R} \geq$  0 
     = {sin(2 $π$ *f*t)|0 $\leq f < \infty$ }

$\mathbb{Z}$ is all integers $-\infty$ to $\infty$

Is $\mathbb{Z}$ routable? yes.

   $\mathbb{Z}$ ={0,1,-1,2,-2,3,-3, }as opposed to  $\mathbb{R}$

$\mathbb{R}$ = {0,3,e, $π$ ,-1,1.14, $\sqrt{2}$ }

Many different ways to write a set [0,1] = {x $\in \mathbb{R}$ such that(s. t.) 0 $\leq x \leq$ 1} ={real positive numbers no greater than 1 as well as 0}

Go to lecture notes: 2 3 4 6 7 8 9 10 12 18 20 32 35 37 38 39

@@ Line 1: / Line 1: @@
 Note: this is the first of many pages to be uploaded.
 ----
+<br> 1/9/13
-/9/13
+If S is discrete and finite S = {<span class="texhtml">''s''<sub>1</sub>,''s''<sub>2</sub>,''s''<sub>3</sub></span>} S = {head,tail}, S = {win, lose}, S = {1,2,3,4,5,6}
-If S is discrete and finite
+If S is discrete but infinite,
-S = {<math>s_1,s_2,s_3</math>}
-S = {head,tail},
-S = {win, lose},
-S = {1,2,3,4,5,6}
-If S is discrete but infinite,
+S = {<span class="texhtml">''s''<sub>1</sub>,''s''<sub>2</sub>,''s''<sub>3</sub></span>,...} ex. S = {1,2,3,4,...}
-S =  {<math>s_1,s_2,s_3</math>,...}
+      S = {sin(2<span class="texhtml">π</span>*440t),sin(2<span class="texhtml">π</span>*880t),sin(2<span class="texhtml">π</span>*1320t),...}
-ex.  S = {1,2,3,4,...}
+    Observe <math>_{S = \mathbb{R}}</math> is not routable; S = [0,1] is not routable
-      S = {sin(2<math>\pi</math>*440t),sin(2<math>\pi</math>*880t),sin(2<math>\pi</math>*1320t),...}
+    S = {sin(2<span class="texhtml">π</span>*f*t)} f <math>\in \mathbb{R} \geq</math> 0
-     Observe <math>_{S = \mathbb{R}}</math> is not routable; S = [0,1] is not routable
+      = {sin(2<span class="texhtml">π</span>*f*t)|0<math>\leq f < \infty</math>}
-     S = {sin(2<math>\pi</math>*f*t)} f <math>\in \mathbb{R} \geq</math> 0
-       = {sin(2<math>\pi</math>*f*t)|0<math>\leq f < \infty</math>}
 <math>\mathbb{Z}</math> is all integers <math>-\infty</math> to <math>\infty</math>
+Is <math>\mathbb{Z}</math> routable? yes.
-Is <math>\mathbb{Z}</math> routable? yes.
     <math>\mathbb{Z}</math>={0,1,-1,2,-2,3,-3, }as opposed to <math>\mathbb{R}</math>
-<math>\mathbb{R}</math>= {0,3,e,<math>\pi</math>,-1,1.14,<math>\sqrt{2}</math>}
+<math>\mathbb{R}</math>= {0,3,e,<span class="texhtml">π</span>,-1,1.14,<math>\sqrt{2}</math>}
+Many different ways to write a set [0,1] = {x <math>\in \mathbb{R} </math>such that(s. t.) 0<math>\leq x \leq</math> 1} ={real positive numbers no greater than 1 as well as 0}
+[[Image:100_3.jpg|left|500x700px]]
-Many different ways to write a set
-[0,1] = {x <math>\in \mathbb{R} </math>such that(s. t.) 0<math>\leq x \leq</math> 1}
-={real positive numbers no greater than 1 as well as 0}
 ----
 Go to lecture notes: [[ECE302S13Notes|2]] [[302L3|3]] [[302L4|4]] [[302L6|6]] [[302L7|7]] [[302L8|8]] [[302L9|9]] [[302L10|10]] [[302L12|12]] [[302L18|18]] [[302L20|20]] [[302L32|32]] [[302L35|35]] [[302L37|37]] [[302L38|38]] [[302L39|39]]

Difference between revisions of "ECE302S13Notes" - Rhea

Revision as of 05:03, 15 April 2013

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