Difference between revisions of "Format notes"

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(Mathematica code)
(Mathematica code)
Line 46: Line 46:
 
       1 - (1.2 + 10 Log[Abs[ff] + 1])^-1], "LAB"]]]]
 
       1 - (1.2 + 10 Log[Abs[ff] + 1])^-1], "LAB"]]]]
 
</pre>
 
</pre>
to generate complex domain colorings. The coloring applied to the identity function $f(z)=z$ generates the following picture:
+
to generate complex domain colorings. This coloring applied to the identity function $f(z)=z$ generates the following picture:
 
[[File:Complexidentity.png|500px]]
 
[[File:Complexidentity.png|500px]]

Revision as of 20:40, 19 February 2015

This is a list of common code templates and styles we use at specialfunctionswiki.

Theorem/proof box template

The code

<div class="toccolours mw-collapsible mw-collapsed">
<strong>THEOREM/LEMMA/PROPOSITION:</strong> STATEMENT OF THEOREM
<div class="mw-collapsible-content">
<strong>Proof:</strong> proof goes here █ 
</div>
</div>

creates

THEOREM/LEMMA/PROPOSITION: STATEMENT OF THEOREM

Proof: proof goes here █

Images

Put images into galleries. Thumbnails and frames break the theorem/proof box template. The code

<div align="center">
<gallery>
File:Arccos.png|Graph of $\mathrm{arccos}$ on $[-1,1]$.
File:Complex arccos.jpg|[[Domain coloring]] of [[analytic continuation]].
</gallery>
</div>

creates

Mathematica code

We use the code

ComplexGraph[f_, {xmin_, xmax_}, {ymin_, ymax_}, 
  opts : OptionsPattern[]] := 
 RegionPlot[True, {x, xmin, xmax}, {y, ymin, ymax}, opts, 
  PlotPoints -> 200, ColorFunctionScaling -> False, 
  ColorFunction -> 
   Function[{x, y}, 
    With[{ff = f[x + I y]}, 
     ColorConvert[
      Hue[(2. Pi)^-1 Mod[Arg[ff], 2 Pi], 1, 
       1 - (1.2 + 10 Log[Abs[ff] + 1])^-1], "LAB"]]]]

to generate complex domain colorings. This coloring applied to the identity function $f(z)=z$ generates the following picture: Complexidentity.png