From f0201f3c27b71a2aad945922736d93bec8102a04 Mon Sep 17 00:00:00 2001 From: Refik Hadzialic Date: Sat, 30 Jun 2012 18:27:59 +0200 Subject: Explaining the derivation of the distance --- vorlagen/thesis/src/img/taylor.gnu | 31 +++++++++++++++++++++++++++++++ 1 file changed, 31 insertions(+) create mode 100644 vorlagen/thesis/src/img/taylor.gnu (limited to 'vorlagen/thesis/src/img/taylor.gnu') diff --git a/vorlagen/thesis/src/img/taylor.gnu b/vorlagen/thesis/src/img/taylor.gnu new file mode 100644 index 0000000..1da8616 --- /dev/null +++ b/vorlagen/thesis/src/img/taylor.gnu @@ -0,0 +1,31 @@ +set xrange [-1:3] +set yrange [-2:10] +set key off +set xtics 0 +set ytics 0 +set border 0 0 +set xzeroaxis +set yzeroaxis +set termoption dash +set xtics axis out ("" -0.5, "0.5" 0.5, "" 1, "" 1.5, "" 2, "" 2.5) +set ytics axis out ("" -1, "1.25" 1.25, "" 3, "" 5, "" 7, "" 9) +#set label 1 " n = 0 " at 2.35, 1.6, 0 +set label 2 " n = 1 " at 1.9, 7, 0 +set label 3 " n = 2 " at 1.6, 9.6, 0 +set label 4 " n = 3 " at 2.7, 7.2, 0 +set label 5 " 5x^2 - x^4 " at 1.5,3,0 +set style line 1 lt 3 lw 1 pt 3 linecolor rgb "#1FBED6" +set style line 2 lt 1 lw 1 pt 1 linecolor rgb "#FF717E" +set style line 3 lt 3 lw 1 pt 2 linecolor rgb "#555555" +set style line 4 lt 1 lw 2 pt 4 linecolor rgb "#97C30A" +show label +set title "1st Four Terms of the Taylor Series Expansion of $f(x) = 5x^{2} - x^{4}$" +show title +set terminal svg +set output 'TaylorSeries.svg' +set arrow from 0.5, graph 0 to 0.5, graph 1 ls 1 nohead +plot 5*x**2 - x**4 ls 4, \ +1.25 ls 1, \ +5*0.5**2-0.5**4+(x-0.5)*(10*0.5-4*0.5**3) ls 2, \ +5*0.5**2-0.5**4+(x-0.5)*(10*0.5-4*0.5**3)+(((x-0.5)**2)/2)*(10-12*0.5**2) ls 2, \ +5*0.5**2-0.5**4+(x-0.5)*(10*0.5-4*0.5**3)+(((x-0.5)**2)/2)*(10-12*0.5**2)+(((x-0.5)**3)/6)*(0-24*0.5) ls 2 -- cgit v1.2.3-55-g7522