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Notebook[{

Cell[CellGroupData[{
Cell["\<\
Stability Analysis For 
Thermal Convection\
\>", "Title",
  TextAlignment->Center],

Cell[TextData[
"Plots the Rayleigh number R required to produce a growth rate s (or \
\[Sigma]) for a given wavenumber k.  Free-slip, constant temperature \
boundaries are assumed.  The dimensionless depth of the convecting layer is \
1."], "Text"],

Cell[BoxData[
    \(<< Graphics`Graphics`\)], "Input"],

Cell[BoxData[
    \(R[k_, s_, P_] := 
      \((Pi^2 + k^2)\)*\((s + P \((Pi^2 + k^2)\))\)*\n\t\t
        \((s + Pi^2 + k^2)\)/\((P\ k^2)\)\)], "Input"],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(LogLogPlot[{R[k, 0, 1], R[k, 10, 1], R[k, 30, 1], R[k, 100, 1]}, {
        k,  .01, 100}, PlotRange -> {{ .01, 100}, {100, 10^5}}, \n
      AxesLabel -> {k, R}]; \)\)], "Input"],

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Cell["\<\
Well, that sucks.  I don't like those labels on the ticks.  Two \
hours latter, I found a way to fix it!\
\>", "Text"],

Cell[BoxData[
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Cell[CellGroupData[{

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ob5oo`00\
\>"],
  ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-2.55366, 1.71295, 
  0.0173925, 0.0211063}}]
}, Open  ]],

Cell[BoxData[
    \(\(Display["\<stabplot.eps\>", stabplot, "\<EPS\>"]; \)\)], "Input"],

Cell["Let's try the same plot with P=10:", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(stabplot2 = 
      LogLogPlot[{R[k, 0, 10], R[k, 10, 10], R[k, 30, 10], R[k, 100, 10]}, {
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