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(*** Wolfram CDF File ***)
(* http://www.wolfram.com/cdf *)

(* CreatedBy='Mathematica 8.0' *)

(*************************************************************************)
(*                                                                       *)
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         "], $CellContext`dataExist$$ = False, $CellContext`genData$$ = 
        True, $CellContext`n$$ = 60, $CellContext`nPts$$ = 
        50, $CellContext`plotAll$$ = False, $CellContext`seqi$$ = 
        1, $CellContext`sqrtnAvgData$$ = CompressedData["
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         "]}, "ControllerVariables" :> {
        Hold[$CellContext`genData$$, $CellContext`genData$209212$$, False], 
        Hold[$CellContext`n$$, $CellContext`n$209213$$, 0], 
        Hold[$CellContext`nPts$$, $CellContext`nPts$209214$$, 0], 
        Hold[$CellContext`plotAll$$, $CellContext`plotAll$209215$$, False], 
        Hold[$CellContext`seqi$$, $CellContext`seqi$209216$$, 0]}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, "Body" :> 
      Module[{$CellContext`clearData$, $CellContext`genNewData$, \
$CellContext`currNStr$, $CellContext`dataExist$ = 
         False}, $CellContext`clearData$ = ($CellContext`currNPts$$ = \
$CellContext`nPts$$; $CellContext`currN$$ = $CellContext`n$$; 
          If[$CellContext`seqi$$ > $CellContext`currN$$, $CellContext`seqi$$ = \
$CellContext`currN$$]; $CellContext`data$$ = 
           Table[0., {$CellContext`n$$}, {$CellContext`nPts$$}]; \
$CellContext`avgData$$ = 
           Table[0., {$CellContext`nPts$$}]; $CellContext`sqrtnAvgData$$ = 
           Table[0., {$CellContext`nPts$$}]); $CellContext`genNewData$ = \
($CellContext`currNPts$$ = $CellContext`nPts$$; $CellContext`currN$$ = \
$CellContext`n$$; 
          If[$CellContext`seqi$$ > $CellContext`currN$$, $CellContext`seqi$$ = \
$CellContext`currN$$]; $CellContext`data$$ = Table[
             
             RandomReal[{-1., 
              1.}], {$CellContext`n$$}, {$CellContext`nPts$$}]; \
$CellContext`avgData$$ = 
           Mean[$CellContext`data$$]; $CellContext`sqrtnAvgData$$ = \
$CellContext`avgData$$ Sqrt[$CellContext`n$$]); 
        DynamicModule[{$CellContext`seqTitle, $CellContext`sqrtNStr}, 
          If[$CellContext`seqi$$ > $CellContext`currN$$, $CellContext`seqi$$ = \
$CellContext`currN$$]; If[
            And[$CellContext`genData$$, 
             
             Not[$CellContext`dataExist$]], $CellContext`genNewData$; \
$CellContext`dataExist$ = True, 
            If[
             And[
              
              Not[$CellContext`genData$$], $CellContext`dataExist$], \
$CellContext`clearData$; $CellContext`dataExist$ = 
              False]]; $CellContext`currNStr$ = 
           ToString[$CellContext`currN$$]; $CellContext`sqrtNStr = Style[
             StringJoin["averaged * Sqrt[", $CellContext`currNStr$, "]"], 
             Black, Bold, 12]; 
          If[$CellContext`plotAll$$, $CellContext`seqTitle = 
            StringJoin[$CellContext`currNStr$, 
              " random sequences"], $CellContext`seqTitle = 
            StringJoin["random sequence ", 
              ToString[$CellContext`seqi$$]]]; Pane[
            Column[{
              If[$CellContext`plotAll$$, 
               
               ListPlot[$CellContext`data$$, 
                PlotRange -> {{1, $CellContext`currNPts$$}, {-1., 1.}}, 
                Joined -> True, Frame -> True, AspectRatio -> 1/2.5, 
                FrameLabel -> {{
                   Style["amplitude", Black, 12], None}, {"", 
                   Style[$CellContext`seqTitle, Black, Bold, 12]}}, 
                ImageSize -> {350, 155}, ImagePadding -> {{45, 10}, {35, 30}},
                 AxesOrigin -> {0, 0}], 
               ListPlot[
                Part[$CellContext`data$$, $CellContext`seqi$$, All], 
                PlotRange -> {{1, $CellContext`currNPts$$}, {-1., 1.}}, 
                Joined -> True, Frame -> True, AspectRatio -> 1/2.5, 
                FrameLabel -> {{
                   Style["amplitude", Black, 12], None}, {"", 
                   Style[$CellContext`seqTitle, Black, Bold, 12]}}, 
                ImageSize -> {350, 155}, ImagePadding -> {{45, 10}, {35, 30}},
                 AxesOrigin -> {0, 0}]], 
              
              ListPlot[$CellContext`avgData$$, 
               PlotRange -> {{1, $CellContext`currNPts$$}, {-1., 1.}}, Joined -> 
               True, Frame -> True, AspectRatio -> 1/2.5, PlotStyle -> {
                 AbsoluteThickness[1], Blue}, FrameLabel -> {{
                  Style["amplitude", Black, 12], None}, {"", 
                  Style[
                   StringJoin[
                   "average of ", $CellContext`currNStr$, 
                    " random sequences"], Black, Bold, 12]}}, 
               ImageSize -> {350, 155}, ImagePadding -> {{45, 10}, {35, 30}}, 
               AxesOrigin -> {0, 0}], 
              
              ListPlot[$CellContext`sqrtnAvgData$$, 
               PlotRange -> {{1, $CellContext`currNPts$$}, {-1., 1.}}, Joined -> 
               True, Frame -> True, AspectRatio -> 1/2.5, FrameLabel -> {{
                  Style["amplitude", Black, 12], None}, {
                  Style["point number", Black, 12], $CellContext`sqrtNStr}}, 
               ImageSize -> {350, 155}, ImagePadding -> {{45, 10}, {35, 30}}, 
               AxesOrigin -> {0, 0}]}], ImageSize -> {350, 480}]]], 
      "Specifications" :> {{{$CellContext`genData$$, True, "data"}, {
         False -> "clear old", True -> "generate new"}}, 
        "\nnumber of random sequences", {{$CellContext`n$$, 60, "n"}, 10, 100,
          1, Appearance -> "Labeled", ImageSize -> Small}, 
        "\nnumber of points in a sequence", {{$CellContext`nPts$$, 50, "m"}, 
         10, 100, 1, Appearance -> "Labeled", ImageSize -> Small}, "\n", 
        Row[{
          Checkbox[
           Dynamic[$CellContext`plotAll$$], {False, True}], 
          "plot all sequences"}], {{$CellContext`plotAll$$, False, ""}, {
         False, True}, ControlType -> None}, 
        "   \nplot only sequence i", {{$CellContext`seqi$$, 1, "i"}, 1, 
         Dynamic[$CellContext`currN$$], 1, Appearance -> "Labeled", ImageSize -> 
         Small}, {{$CellContext`currNPts$$, 50}, ControlType -> 
         None}, {{$CellContext`currN$$, 60}, ControlType -> 
         None}, {{$CellContext`data$$, CompressedData["
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This Demonstration provides visualization of the averaging effect on the \
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Compression Data of Crunchy Foods,\" ",
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  FontSlant->"Italic"],
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