# set terminal png transparent nocrop enhanced font arial 8 size 420,320 # set output 'spline.2.png' set grid nopolar set grid xtics nomxtics ytics nomytics noztics nomztics \ nox2tics nomx2tics noy2tics nomy2tics nocbtics nomcbtics set grid layerdefault linetype 0 linewidth 1.000, linetype 0 linewidth 1.000 set key inside right top vertical Right noreverse enhanced autotitles box linetype -1 linewidth 1.000 set title "The cubic Hermite basis functions" set xrange [ 0.00000 : 1.00000 ] noreverse nowriteback set yrange [ -0.200000 : 1.40000 ] noreverse nowriteback m0(x) = 1 m1(x) = x m2(x) = x**2 m3(x) = x**3 h00(x) = x**2 * ( 2 * x - 3) + 1 h01(x) = -x**2 * (2 * x - 3) h10(x) = x * (x - 1)**2 h11(x) = x**2 * (x - 1) plot h00(x), h01(x), h10(x), h11(x)