title: Gnuplot and complex exponentials
body: <p>Could anyone tell me how to draw complex exponentials using gnuplot. I tried to draw them using this script, but argument <code>i</code> isn't recognized.</p>
  
  <pre><code>set terminal epslatex color colortext size 9cm,5cm
  set size 1.5,1.0
  set output "eulerjeva_identiteta_1.tex"
  
  set style line 1 linetype 1 linewidth 3 linecolor rgb "#FF0055"
  set style line 2 linetype 2 linewidth 1 linecolor rgb "#FF0055"
  set style line 3 linetype 1 linewidth 3 linecolor rgb "#2C397D"
  set style line 4 linetype 2 linewidth 1 linecolor rgb "#2C397D"
  set style line 5 linetype 1 linewidth 3 linecolor rgb "#793715"
  set style line 6 linetype 2 linewidth 1 linecolor rgb "#793715"
  set style line 7 linetype 1 linewidth 3 linecolor rgb "#b1b1b1"
  set style line 8 linetype 3 linewidth 1 linecolor rgb "#b1b1b1"
  
  set grid
  
  set samples 7000
  
  set key at graph .95, 0.4
  set key samplen 2
  set key spacing 0.8
  
  f(x) = exp(i*x)
  g(x) = exp(-i*x)
  h(x) = exp(i*x)+exp(-i*x)
  
  set xrange [-2*pi:2*pi]
  set yrange [-1.2:1.2]
  
  set xtics ("$0$" 0, "$\\pi$" pi, "$-\\pi$" -pi)
  set ytics ("$1$" 1, "$-1$" -1)
  
  set xlabel "$x$"
  
  plot [-2*pi:2*pi] f(x) ls 1 title "$\\e^{ix}$", g(x) ls 3 title "$\\e^{-ix}$", h(x) ls 5 title "$\\e^{ix} + \\e^{-ix}$" 
  </code></pre>