# set terminal pngcairo transparent enhanced fontscale 1.0 size 600, 400 # set output 'fit.8.png' set key bmargin center horizontal Right noreverse enhanced autotitle nobox set style increment default set title "the scattered points, fitted curve" set xrange [ * : * ] noreverse writeback set x2range [ * : * ] noreverse writeback set yrange [ * : * ] noreverse writeback set y2range [ * : * ] noreverse writeback set zrange [ * : * ] noreverse writeback set cbrange [ * : * ] noreverse writeback set rrange [ * : * ] noreverse writeback set fit nologfile brief errorvariables nocovariancevariables errorscaling noprescale nowrap v5 l(x) = y0 + m*x high(x) = mh*(x-Tc) + dens_Tc lowlin(x) = ml*(x-Tc) + dens_Tc curve(x) = b*tanh(g*(Tc-x)) density(x) = x < Tc ? curve(x)+lowlin(x) : high(x) h(x,y) = sqrt(r*r - (abs(x-x0))**2.2 - (abs(y-y0))**1.8) + z0 myencoding = "utf8" y0 = 0.2 m = -0.000943519626924529 FIT_CONVERGED = 1 FIT_NDF = 245 FIT_STDFIT = 0.0180887832084403 FIT_WSSR = 0.0801649991006786 FIT_P = 1.0 FIT_NITER = 50 y0_err = 0.000473544839517863 m_err = 3.15383626024729e-05 FIT_COV_y0_y0 = 2.20240170189915e-06 FIT_COV_m_y0 = -4.67890413749725e-08 FIT_COV_y0_m = -4.67890413749725e-08 FIT_COV_m_m = 9.9466831564506e-10 ml = -0.00103152542276233 mh = -0.0008340717673769 dens_Tc = 1.02499621370905 Tc = 46.0665367045608 g = 6.92493866108287 b = 0.00139548391000006 ml_err = 1.62623230565094e-05 mh_err = 3.737890801507e-06 dens_Tc_err = 7.27819513635249e-06 Tc_err = 0.00159887430059728 g_err = 0.429342070879149 b_err = 5.81804522574664e-05 r = 0.5 x0 = 0.1 z0 = 0.3 r_err = 0.000364063036513251 x0_err = 0.000392881045327825 z0_err = 0.00152588271554302 ## Last datafile plotted: "hemisphr.dat" splot 'hemisphr.dat' using 1:2:3, h(x,y) ## fit h(x,y) 'hemisphr.dat' using 1:2:3 via r, x0, y0, z0