Speedcomparison of Mathematica on Various Machines
- To: mathgroup at smc.vnet.net
- Subject: [mg2751] Speedcomparison of Mathematica on Various Machines
- From: Stefan Steinhaus <stst at informatik.uni-frankfurt.de>
- Date: Wed, 13 Dec 1995 02:01:05 -0500
- Organization: University of Frankfurt
Comparison of Mathematica on Various Machines Author : Stefan Steinhaus (UNI Frankfurt) E-Mail : stst at informatik.uni-frankfurt.de This is the latest version of Mathematica timing tests; (further results are welcome: stst at informatik.uni-frankfurt.de). New results: DECserver 2100, Alpha-AXP 21064, 275 MHz DECserver 8400, Alpha-AXP 21164, 300 MHz PowerMAC 8500 Timing[3^10000;] Apple PowerMAC 8500: 0.017 Second Apple PowerMAC 9500/132, 128 MB RAM: 0.017 Second DECserver 2100, Alpha-AXP 21064, 275 MHz: 0.017 Second DECserver 8400, Alpha-AXP 21164, 300 MHz: 0.017 Second PENTIUM 90,32 MB,Win. NT 3.51: 0.040 Second PENTIUM 90,32 MB,DOS: 0.050 Second 80486 DX/4-100,32 MB,DOS: 0.050 Second PENTIUM 90,32 MB,OS/2 3.0-Win.: 0.055 Second PENTIUM 90,32 MB,Win. 3.11: 0.055 Second 80486 DX/4-100,32 MB,Win. 3.11: 0.055 Second PENTIUM 90,32 MB,OS/2 3.0-DOS: 0.060 Second 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 0.060 Second PENTIUM 90,32 MB,OS/2 3.0: 0.062 Second 80486 DX/4-100,32 MB,OS/2 3.0: 0.062 Second Apple PowerMAC 6100/60: 0.067 Second HP 9000/700: 0.090 Second HP 9000/715-50: 0.090 Second 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 0.090 Second 80486 50 MHz,16 MB,VL,Win.: 0.165 Second 80486 50 MHz,16 MB,ISA,Win.: 0.165 Second 80486 50 MHz,16 MB,ISA,DOS: 0.170 Second 80486 50 MHz,16 MB,ISA,LINUX: 0.170 Second 80486 33 MHz,16 MB,ISA,Win.: 0.275 Second 80486 33 MHz,16 MB,ISA,DOS: 0.280 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 0.280 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 0.280 Second Apple Quadra 650, 20 MB RAM: 0.316 Second Apple Quadra 700: 0.400 Second Apple Centris 610,12 MB (no Coprocessor): 0.450 Second Apple IIvx,20 MB: 0.883 Second Apple LC III,8 MB (no Coprocessor): 1.000 Second Apple LC,8 MB (no Coprocessor): 2.017 Second Timing[10000!;] DECserver 8400, Alpha-AXP 21164, 300 MHz: 1.067 Second Apple PowerMAC 8500: 2.333 Second DECserver 2100, Alpha-AXP 21064, 275 MHz: 2.733 Second Apple PowerMAC 9500/132, 128 MB RAM: 2.783 Second PENTIUM 90,32 MB,OS/2 3.0: 5.782 Second PENTIUM 90,32 MB,Win. 3.11: 6.097 Second PENTIUM 90,32 MB,OS/2 3.0-Win.: 6.151 Second PENTIUM 90,32 MB,Win. NT 3.51: 6.920 Second 80486 DX/4-100,32 MB,Win. 3.11: 7.250 Second 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 7.305 Second 80486 DX/4-100,32 MB,OS/2 3.0: 7.343 Second PENTIUM 90,32 MB,DOS: 7.640 Second PENTIUM 90,32 MB,OS/2 3.0-DOS: 7.780 Second 80486 DX/4-100,32 MB,DOS: 9.550 Second Apple PowerMAC 6100/60: 9.567 Second 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 9.720 Second HP 9000/715-50: 11.790 Second 80486 50 MHz,16 MB,ISA,Win.: 22.191 Second 80486 50 MHz,16 MB,VL,Win.: 23.178 Second 80486 50 MHz,16 MB,ISA,DOS: 25.540 Second 80486 50 MHz,16 MB,ISA,LINUX: 27.770 Second 80486 33 MHz,16 MB,ISA,Win.: 33.010 Second 80486 33 MHz,16 MB,ISA,DOS: 38.380 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 38.810 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 39.280 Second Apple Quadra 650, 20 MB RAM: 40.316 Second Apple Quadra 700: 53.333 Second Apple Centris 610,12 MB (no Coprocessor): 61.517 Second Apple IIvx,20 MB: 96.066 Second Apple LC III,8 MB (no Coprocessor): 106.250 Second Apple LC,8 MB (no Coprocessor): 188.117 Second hil = Table[1/(i+j-1), {i,30}, {j,30}]; Timing[Det[hil]] Apple PowerMAC 9500/132, 128 MB RAM: 1.300 Second DECserver 8400, Alpha-AXP 21164, 300 MHz: 1.300 Second Apple PowerMAC 8500: 1.333 Second PENTIUM 90,32 MB,Win. NT 3.51: 3.074 Second PENTIUM 90,32 MB,OS/2 3.0-Win.: 3.515 Second PENTIUM 90,32 MB,Win. 3.11: 3.570 Second PENTIUM 90,32 MB,DOS: 3.790 Second DECserver 2100, Alpha-AXP 21064, 275 MHz: 3.833 Second PENTIUM 90,32 MB,OS/2 3.0-DOS: 3.850 Second 80486 DX/4-100,32 MB,OS/2 3.0: 4.032 Second Apple PowerMAC 6100/60: 4.049 Second 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 4.998 Second PENTIUM 90,32 MB,OS/2 3.0: 4.157 Second 80486 DX/4-100,32 MB,Win. 3.11: 5.163 Second 80486 DX/4-100,32 MB,DOS: 5.220 Second 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 5.280 Second HP 9000/715-50: 6.440 Second HP 9000/700: 6.680 Second 80486 50 MHz,16 MB,ISA,LINUX: 7.150 Second 80486 50 MHz,16 MB,ISA,Win.: 9.557 Second 80486 50 MHz,16 MB,ISA,DOS: 9.730 Second 80486 50 MHz,16 MB,VL,Win.: 10.655 Second 80486 33 MHz,16 MB,ISA,Win.: 13.621 Second 80486 33 MHz,16 MB,ISA,DOS: 14.010 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 14.300 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 14.410 Second Apple Quadra 650, 20 MB RAM: 20.150 Second Apple Quadra 700: 24.300 Second Apple Centris 610,12 MB (no Coprocessor): 39.183 Second Apple IIvx,20 MB: 62.450 Second Apple LC III,8 MB (no Coprocessor): 94.450 Second Apple LC,8 MB (no Coprocessor): 216.550 Second Timing[ListPlot[Table[Prime[i],{i,10000}],PlotJoined->True]] DECserver 8400, Alpha-AXP 21164, 300 MHz: 0.717 Second Apple PowerMAC 8500: 1.733 Second Apple PowerMAC 9500/132, 128 MB RAM: 1.817 Second DECserver 2100, Alpha-AXP 21064, 275 MHz: 2.667 Second PENTIUM 90,32 MB,OS/2 3.0: 3.719 Second 80486 DX/4-100,32 MB,OS/2 3.0: 4.093 Second HP 9000/715-50: 4.130 Second 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 4.460 Second Apple PowerMAC 6100/60: 4.483 Second HP 9000/700: 4.700 Second PENTIUM 90,32 MB,OS/2 3.0-Win.: 4.724 Second PENTIUM 90,32 MB,Win. 3.11: 4.889 Second 80486 50 MHz,16 MB,ISA,LINUX: 6.170 Second PENTIUM 90,32 MB,OS/2 3.0-DOS: 7.150 Second 80486 DX/4-100,32 MB,Win. 3.11: 7.470 Second 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 9.280 Second PENTIUM 90,32 MB,Win. NT 3.51: 10.305 Second 80486 50 MHz,16 MB,ISA,Win.: 11.864 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 12.630 Second 80486 33 MHz,16 MB,ISA,Win.: 16.807 Second PENTIUM 90,32 MB,DOS: 19.500 Second Apple Quadra 650, 20 MB: 21.000 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 22.160 Second 80486 50 MHz,16 MB,VL,Win.: 23.893 Second 80486 DX/4-100,32 MB,DOS: 25.380 Second Apple Quadra 700: 27.300 Second 80486 33 MHz,16 MB,ISA,DOS: 34.000 Second Apple Centris 610,12 MB (no Coprocessor): 37.467 Second 80486 50 MHz,16 MB,ISA,DOS: 41.740 Second Apple IIvx,20 MB: 72.750 Second Apple LC III,8 MB (no Coprocessor): 88.380 Second Apple LC,8 MB (no Coprocessor): 211.533 Second Timing[N[Pi,3500]] DECserver 8400, Alpha-AXP 21164, 300 MHz: 0.133 Second Apple PowerMAC 9500/132, 128 MB RAM: 0.283 Second Apple PowerMAC 8500: 0.300 Second DECserver 2100, Alpha-AXP 21064, 275 MHz: 0.383 Second PENTIUM 90,32 MB,Win. NT 3.51: 1.061 Second PENTIUM 90,32 MB,OS/2 3.0: 1.094 Second PENTIUM 90,32 MB,OS/2 3.0-Win.: 1.098 Second PENTIUM 90,32 MB,Win. 3.11: 1.098 Second 80486 DX/4-100,32 MB,Win. 3.11: 1.264 Second Apple PowerMAC 6100/60: 1.299 Second 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 1.318 Second 80486 DX/4-100,32 MB,OS/2 3.0: 1.344 Second PENTIUM 90,32 MB,OS/2 3.0-DOS: 1.430 Second 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 1.750 Second HP 9000/715-50: 1.840 Second PENTIUM 90,32 MB,DOS: 2.030 Second 80486 DX/4-100,32 MB,DOS: 2.410 Second 80486 50 MHz,16 MB,ISA,Win.: 3.570 Second 80486 50 MHz,16 MB,VL,Win.: 3.625 Second 80486 50 MHz,16 MB,ISA,LINUX: 3.720 Second 80486 33 MHz,16 MB,ISA,Win.: 5.210 Second 80486 50 MHz,16 MB,ISA,DOS: 5.600 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 6.250 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 6.250 Second Apple Quadra 650, 20 MB RAM: 7.283 Second 80486 33 MHz,16 MB,ISA,DOS: 7.300 Second Apple Quadra 700: 9.780 Second Apple Centris 610,12 MB (no Coprocessor): 14.933 Second Apple IIvx,20 MB: 20.833 Second Apple LC III,8 MB (no Coprocessor): 31.800 Second Apple LC,8 MB (no Coprocessor): 67.183 Second First[Timing[Eigenvalues[Table[Random[],{200},{200}]]]] DECserver 8400, Alpha-AXP 21164, 300 MHz: 4.200 Second Apple PowerMAC 9500/132, 128 MB RAM: 4.683 Second Apple PowerMAC 8500: 4.983 Second PENTIUM 90,32 MB,OS/2 3.0: 9.375 Second PENTIUM 90,32 MB,Win. 3.11: 9.447 Second PENTIUM 90,32 MB,OS/2 3.0-Win.: 9.557 Second HP 9000/715-50: 10.060 Second PENTIUM 90,32 MB,Win. NT 3.51: 10.355 Second PENTIUM 90,32 MB,OS/2 3.0-DOS: 10.880 Second DECserver 2100, Alpha-AXP 21064, 275 MHz: 11.283 Second HP 9000/700: 11.950 Second Apple PowerMAC 6100/60: 13.217 Second PENTIUM 90,32 MB,DOS: 15.550 Second 80486 DX/4-100,32 MB,Win. 3.11: 19.993 Second 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 21.640 Second 80486 DX/4-100,32 MB,OS/2 3.0: 22.531 Second 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 23.340 Second 80486 DX/4-100,32 MB,DOS: 23.950 Second 80486 50 MHz,16 MB,ISA,LINUX: 38.180 Second 80486 50 MHz,16 MB,VL,Win.: 38.228 Second 80486 50 MHz,16 MB,ISA,Win.: 39.161 Second 80486 50 MHz,16 MB,ISA,DOS: 47.400 Second 80486 33 MHz,16 MB,ISA,Win.: 55.584 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 64.900 Second 80486 33 MHz,16 MB,ISA,DOS: 68.770 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 75.030 Second Apple Quadra 700: 114.500 Second Apple Quadra 650, 20 MB RAM: 360,100 Second Apple IIvx,20 MB: 461.083 Second Apple Centris 610,12 MB (no Coprocessor):2267.750 Second Apple LC III,8 MB (no Coprocessor): > 3 hours Apple LC,8 MB (no Coprocessor): > 3 hours Timing[Factor[x^92259-1];] DECserver 8400, Alpha-AXP 21164, 300 MHz: 0.900 Second Apple PowerMAC 9500/132, 128 MB RAM: 0.967 Second Apple PowerMAC 8500: 1.033 Second PENTIUM 90,32 MB,Win. NT 3.51: 2.614 Second PENTIUM 90,32 MB,OS/2 3.0-DOS: 2.910 Second PENTIUM 90,32 MB,OS/2 3.0: 3.031 Second DECserver 2100, Alpha-AXP 21064, 275 MHz: 3.067 Second PENTIUM 90,32 MB,OS/2 3.0-Win.: 3.076 Second PENTIUM 90,32 MB,Win. 3.11: 3.158 Second 80486 DX/4-100,32 MB,OS/2 3.0: 3.187 Second HP 9000/715-50: 3.400 Second PENTIUM 90,32 MB,DOS: 3.570 Second 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 3.850 Second 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 3.900 Second HP 9000/700: 3.990 Second 80486 DX/4-100,32 MB,DOS: 4.720 Second 80486 DX/4-100,32 MB,Win. 3.11: 4.724 Second 80486 50 MHz,16 MB,ISA,LINUX: 4.980 Second Apple PowerMAC 6100/60: 6.150 Second 80486 50 MHz,16 MB,VL,Win.: 8.349 Second 80486 50 MHz,16 MB,ISA,DOS: 8.960 Second 80486 50 MHz,16 MB,ISA,Win.: 9.063 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 9.190 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 9.250 Second 80486 33 MHz,16 MB,ISA,DOS: 9.940 Second Apple Quadra 650, 20 MB RAM: 10.317 Second 80486 33 MHz,16 MB,ISA,Win.: 10.820 Second Apple Quadra 700: 15.830 Second Apple Centris 610,12 MB (no Coprocessor): 16.050 Second Apple IIvx,20 MB: 43.150 Second Apple LC III,8 MB (no Coprocessor): 43.500 Second Apple LC,8 MB (no Coprocessor): 111.933 Second Timing[Integrate[1/(1-x^3),x]] DECserver 8400, Alpha-AXP 21164, 300 MHz: 0.033 Second Apple PowerMAC 8500: 0.067 Second PENTIUM 90,32 MB,OS/2 3.0-Win.: 0.110 Second 80486 DX/4-100,32 MB,OS/2 3.0: 0.125 Second DECserver 2100, Alpha-AXP 21064, 275 MHz: 0.150 Second 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 0.164 Second Apple PowerMAC 9500/132, 128 MB RAM: 0.733 Second PENTIUM 90,32 MB,Win. NT 3.51: 0.821 Second HP 9000/715-50: 1.090 Second PENTIUM 90,32 MB,OS/2 3.0-DOS: 1.190 Second HP 9000/700: 1.230 Second 80486 50 MHz,16 MB,ISA,LINUX: 1.320 Second 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 1.410 Second PENTIUM 90,32 MB,Win. 3.11: 1.483 Second 80486 DX/4-100,32 MB,Win. 3.11: 2.087 Second Apple PowerMAC 6100/60: 2.199 Second PENTIUM 90,32 MB,OS/2 3.0: 2.437 Second 80486 50 MHz,16 MB,VL,Win.: 2.911 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 3.090 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 3.150 Second PENTIUM 90,32 MB,DOS: 3.240 Second 80486 50 MHz,16 MB,ISA,Win.: 3.515 Second 80486 DX/4-100,32 MB,DOS: 4.010 Second 80486 33 MHz,16 MB,ISA,Win.: 4.229 Second Apple Quadra 650, 20 MB RAM: 4.600 Second Apple Quadra 700: 6.200 Second Apple Centris 610,12 MB (no Coprocessor): 6.567 Second 80486 33 MHz,16 MB,ISA,DOS: 6.750 Second 80486 50 MHz,16 MB,ISA,DOS: 11.100 Second Apple LC III,8 MB (no Coprocessor): 16.783 Second Apple IIvx,20 MB: 17.783 Second Apple LC,8 MB (no Coprocessor): 36.367 Second Timing[ParametricPlot3D[{r Cos[Cos[r]]Cos[psi], r Cos[Cos[r]]Sin[psi],r Sin[Cos[r]]},{r,0.001,9Pi/2+0.001}, {psi,0,3Pi/2},PlotPoints->{72,24}]] DECserver 8400, Alpha-AXP 21164, 300 MHz: 1.467 Second Apple PowerMAC 9500/132, 128 MB RAM: 3.917 Second Apple PowerMAC 8500: 4.033 Second DECserver 2100, Alpha-AXP 21064, 275 MHz: 5.067 Second PENTIUM 90,32 MB,OS/2 3.0: 6.719 Second PENTIUM 90,32 MB,OS/2 3.0-Win.: 7.470 Second HP 9000/715-50: 7.660 Second PENTIUM 90,32 MB,Win. 3.11: 7.854 Second 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 9.090 Second 80486 DX/4-100,32 MB,OS/2 3.0: 10.094 Second Apple PowerMAC 6100/60: 11.417 Second 80486 DX/4-100,32 MB,Win. 3.11: 12.028 Second 80486 50 MHz,16 MB,ISA,LINUX: 13.120 Second PENTIUM 90,32 MB,OS/2 3.0-DOS: 14.150 Second HP 9000/700: 15.540 Second 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 18.340 Second 80486 50 MHz,16 MB,ISA,Win.: 21.915 Second PENTIUM 90,32 MB,Win. NT 3.51: 26.244 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 26.970 Second 80486 33 MHz,16 MB,ISA,Win.: 33.339 Second PENTIUM 90,32 MB,DOS: 36.030 Second 80486 DX/4-100,32 MB,DOS: 41.860 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 43.690 Second Apple Quadra 700: 43.750 Second 80486 50 MHz,16 MB,VL,Win.: 53.442 Second Apple Quadra 650, 20 MB RAM: 75.183 Second 80486 50 MHz,16 MB,ISA,DOS: 95.460 Second 80486 33 MHz,16 MB,ISA,DOS: 112.380 Second Apple IIvx,20 MB: 130.567 Second Apple Centris 610,12 MB (no Coprocessor): 246.217 Second Apple LC III,8 MB (no Coprocessor): 622.100 Second Apple LC,8 MB (no Coprocessor): 1473.770 Second bx = 6 Cos[u] (1 + Sin[u]);by = 16 Sin[u];rad = 4 (1 - Cos[u] / 2); X = If[Pi < u <= 2 Pi, bx + rad Cos[v + Pi], bx + rad Cos[u] Cos[v]]; Y = If[Pi < u <= 2 Pi, by,by + rad Sin[u] Cos[v]]; Z = rad Sin[v]; Timing[ParametricPlot3D[{X, Y, Z},{u, 0, 2 Pi}, {v, 0, 2 Pi},PlotPoints -> {48,12},Axes -> False,Boxed -> False,ViewPoint-> {1.4, -2.6, -1.7}];] DECserver 8400, Alpha-AXP 21164, 300 MHz: 1.517 Second Apple PowerMAC 9500/132, 128 MB RAM: 3.367 Second Apple PowerMAC 8500: 3.500 Second DECserver 2100, Alpha-AXP 21064, 275 MHz: 5.467 Second PENTIUM 90,32 MB,OS/2 3.0: 5.812 Second PENTIUM 90,32 MB,Win. 3.11: 6.481 Second HP 9000/715-50: 6.730 Second 80486 DX/4-100,32 MB,OS/2 3.0: 6.750 Second PENTIUM 90,32 MB,OS/2 3.0-Win.: 6.811 Second 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 7.060 Second HP 9000/700: 7.800 Second PENTIUM 90,32 MB,OS/2 3.0-DOS: 9.070 Second Apple PowerMAC 6100/60: 9.200 Second 80486 DX/4-100,32 MB,Win. 3.11: 9.333 Second 80486 50 MHz,16 MB,ISA,LINUX: 10.180 Second PENTIUM 90,32 MB,Win. NT 3.51: 11.006 Second 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 11.530 Second 80486 50 MHz,16 MB,ISA,Win.: 15.818 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 17.500 Second 80486 50 MHz,16 MB,VL,Win.: 20.267 Second PENTIUM 90,32 MB,DOS: 23.560 Second 80486 33 MHz,16 MB,ISA,Win.: 23.619 Second 80486 DX/4-100,32 MB,DOS: 25.820 Second 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 26.750 Second Apple Quadra 700: 39.930 Second Apple Quadra 650, 20 MB RAM: 43.500 Second 80486 50 MHz,16 MB,ISA,DOS: 68.500 Second Apple IIvx,20 MB: 96.100 Second 80486 33 MHz,16 MB,ISA,DOS: 103.760 Second Apple Centris 610,12 MB (no Coprocessor): 126.500 Second Apple LC III,8 MB (no Coprocessor): 318.983 Second Apple LC,8 MB (no Coprocessor): 742.150 Second Tested by/on Apple PowerMAC 9500/132, 128 MB RAM, VM on ATI graphics board with 4 MB VRAM set to 256 colors, 1152x870 screen Minimal extensions by Ronald Bruck (bruck at mtha.usc.edu) Apple PowerMAC 8500 by Colin Rose (colinr at extro.ucc.su.oz.au) DECserver 2100, Alpha-AXP 21064, 275 MHz and DECserver 8400, Alpha-AXP 21164, 300 MHz under Digital UNIX V3.2 by Alexander Ebbes (ebbes at uni-mainz.de) Stefan Steinhaus, stst at informatik.uni-frankfurt.de -- ******************************************************************************** ** UniversitÌt Frankfurt - Fachbereich Informatik (FB20) ** ** Stefan Steinhaus ** ** EMAIL : stst at informatik.uni-frankfurt.de ** ** WWW : http://www.uni-frankfurt.de/~stst/ (Home of the scientific webber) ** ********************************************************************************