#!/usr/bin/gnuplot

reset

#set terminal postscript enhanced 16
#set output "slide-distribucne-funkcie.ps"
set terminal postscript eps enhanced 30
set output "slide-distribucne-funkcie.eps"

set multiplot
#set grid

set lmargin 5
set rmargin 2

set line style 1 linetype 1 linewidth 3
set line style 2 linetype 2 linewidth 3
set line style 3 linetype 3 linewidth 3

set arrow 1 from 0.0,0.36 to  0.5,0.36
set arrow 2 from 0.0,0.36 to -0.5,0.36

set label 1 "f(u)" at -1.2,0.1
set label 2 "f_{/Symbol b}(u)" at 0.8,0.7
set label 3 "f_{3D}(u)" at 2,0.12
set label 4 "{/Symbol 2b}" at 0,0.4 center

set xlabel "u"

set ytics 0.2

normal(x)	= exp(-x*x) / sqrt(pi)
beta(x, b)	= exp(-x*x) / sqrt(pi) / erfc(b) \
				* ((arg(b + x) + arg(b - x)) / pi)
x2(x)		= exp(-x*x) * x * x / sqrt(pi) * 2

plot [-3:3][] \
	normal(x)		notitle with lines linestyle 1, \
	x2(x)			notitle with lines linestyle 2, \
	beta(x, 0.5)	notitle with lines linestyle 3