(*^
::[	Information =

	"This is a Mathematica Notebook file.  It contains ASCII text, and can be
	transferred by email, ftp, or other text-file transfer utility.  It should
	be read or edited using a copy of Mathematica or MathReader.  If you 
	received this as email, use your mail application or copy/paste to save 
	everything from the line containing (*^ down to the line containing ^*)
	into a plain text file.  On some systems you may have to give the file a 
	name ending with ".ma" to allow Mathematica to recognize it as a Notebook.
	The line below identifies what version of Mathematica created this file,
	but it can be opened using any other version as well.";

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:[font = subtitle; inactive; preserveAspect; startGroup]
Lists
:[font = text; inactive; preserveAspect]
Create and manipulate lists, e.g. generate list of integer factorial n! for {n=1,..,15}:
:[font = input; preserveAspect]
Table[ n!, {n,1,15}]
:[font = text; inactive; preserveAspect]
Take logarithm of the list and plot and fit the resulting list:
:[font = input; preserveAspect]
N[Log[%]]
:[font = input; preserveAspect]
ListPlot[ % ]
:[font = input; preserveAspect]
Fit[ %6, {1,x,x^2}, x]
:[font = text; inactive; preserveAspect]
Construct array and generate density plot:
:[font = input; preserveAspect]
array = Table[ If[GCD[i,j] == 1, 1, 0], {i,30}, {j,30}];
:[font = input; preserveAspect]
ListDensityPlot[array]
:[font = input; preserveAspect]
Max[Abs[Fourier[array]] ]
:[font = input; preserveAspect; endGroup]
Fourier[array]
^*)