2.1 The graph of log CD vs log Re
In[7]:=
relist = {.05875, .1585, .4786, 3.020, 7.015, 15.49, 57.54,
144.5, 264.9, 512.9, 1000., 1862., 3162.,
4764., 8375., .1556 10^5, .2648 10^5,
.3467 10^5, .5888 10^5, .1000 10^6, .1702 10^6,
.2317 10^6, .2648 10^6, .2710 10^6, .2851 10^6,
.3020 10^6, .3388 10^6, .3981 10^6, .5129 10^6,
.1778 10^7, .2291 10^7, .5012 10^7};
cdlist = {492.0, 169.8, 58.88, 10.86, 5.623, 3.388,
1.479, .9204, .7194, .5623, .4786, .4365, .4074,
.3890, .3981, .4395, .4571, .4775, .4732, .4624,
.4395, .4046, .3733, .3467, .2472, .1778, .1047,
.09772, .1000, .1778, .1862, .1862};
Taking the logarithms of these numbers,
In[8]:=
logrelist = Log[10, relist]
logcdlist = Log[10, cdlist]
Out[8]=
{-1.23099, -0.799971, -0.320027, 0.480007, 0.846028, 1.19005,
1.75997, 2.15987, 2.42308, 2.71003, 3., 3.26998, 3.49996,
3.67797, 3.92298, 4.19201, 4.42292, 4.53995, 4.76997, 5.,
5.23096, 5.36493, 5.42292, 5.43297, 5.455, 5.48001, 5.52994,
5.59999, 5.71003, 6.24993, 6.36003, 6.70001}
Out[9]=
{2.69197, 2.22994, 1.76997, 1.03583, 0.749968, 0.529943,
0.169968, -0.0360234, -0.14303, -0.250032, -0.320027,
-0.360016, -0.389979, -0.41005, -0.400008, -0.357041,
-0.339989, -0.321027, -0.324955, -0.334982, -0.357041,
-0.392974, -0.427942, -0.460046, -0.606952, -0.750068,
-0.980053, -1.01002, -1., -0.750068, -0.73002, -0.73002}
Now we plot the graph.
In[10]:=
regrid[xmin_, xmax_] := Range[Floor[xmin],Floor[xmax], 1];
cdgrid[xmin_, xmax_] := Range[Floor[xmin],Floor[xmax], 0.2];
logplot = ListPlot[Table[{logrelist[[i]], logcdlist[[i]]},
{i,32}],
PlotJoined -> True,
AxesLabel -> {"log Re", "log CD"},
AxesOrigin -> {-2., -1.},
AspectRatio -> Automatic,
GridLines -> {regrid, Automatic}];

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