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【求助】这样的曲线拟合怎么做?
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实验中得到一些数据,数据分为2个部分,需要针对不同的2个方程进行曲线拟合以获得一些参数。但是这2个方程却有相同的一些参数,彼此约束。 当然,如果这是针对2个方程进行不同的方程进行拟合,彼此没有共同参数,并没有约束的话,我可以分别对它进行拟合,但是,现在不行,因为,2个方程有共用参数。怎么办呢? 据说1stopt软件可以解决这个问题,我在网上下载了一个1.0版本,但是,好像不行。其程序如下: Title "aa"; Parameters e,a,b,c,d; SharedModel; Variable y1,x1,y2,x2; Function y1=e*(10^((x1+0.378418)/a)-10^(-(x1+0.378418)/b)+sqrt(((x1+0.378418)/c)*(10^(-(x1+0.378418)/a)))); y2=e*(10^((x2+0.378418)/a)-10^(-(x2+0.378418)/b)); [ Last edited by woshilsh on 2009-6-13 at 22:54 ] |
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数据随便用一组吧! Data; -2.39E-06 -0.376418 5.96E-07 -0.382918 -2.03E-06 -0.375918 7.96E-07 -0.383918 -1.87E-06 -0.375418 8.57E-07 -0.384918 -2.09E-06 -0.374918 1.22E-06 -0.385918 -2.27E-06 -0.374418 1.09E-06 -0.386418 -2.58E-06 -0.373918 1.26E-06 -0.386918 -2.81E-06 -0.373418 1.39E-06 -0.387418 -3.28E-06 -0.372918 1.55E-06 -0.387918 -3.53E-06 -0.372418 1.69E-06 -0.388418 -3.77E-06 -0.371918 1.71E-06 -0.388918 -3.45E-06 -0.371418 1.99E-06 -0.389418 -3.40E-06 -0.370918 2.17E-06 -0.389918 -3.58E-06 -0.370418 2.16E-06 -0.390418 -3.61E-06 -0.369918 2.22E-06 -0.390918 -3.71E-06 -0.369418 2.38E-06 -0.391418 -3.97E-06 -0.368918 2.45E-06 -0.391918 -3.96E-06 -0.368418 2.73E-06 -0.392418 -3.97E-06 -0.367918 2.62E-06 -0.392918 -4.20E-06 -0.367418 2.94E-06 -0.393418 -3.73E-06 -0.366918 3.08E-06 -0.393918 -3.56E-06 -0.366418 2.81E-06 -0.394418 -3.89E-06 -0.365918 3.05E-06 -0.394918 -3.99E-06 -0.365418 3.39E-06 -0.395418 -4.21E-06 -0.364918 3.30E-06 -0.395918 -4.41E-06 -0.364418 3.17E-06 -0.396418 -4.49E-06 -0.363918 3.82E-06 -0.396918 -4.75E-06 -0.363418 3.81E-06 -0.397418 -4.83E-06 -0.362918 4.26E-06 -0.397918 -5.29E-06 -0.362418 4.29E-06 -0.398418 -5.58E-06 -0.361918 4.66E-06 -0.398918 -5.49E-06 -0.361418 4.82E-06 -0.399418 -5.20E-06 -0.360918 5.00E-06 -0.399918 -5.21E-06 -0.360418 5.07E-06 -0.400418 -5.30E-06 -0.359918 5.20E-06 -0.400918 -5.41E-06 -0.359418 5.32E-06 -0.401418 -5.38E-06 -0.358918 5.23E-06 -0.401918 -5.63E-06 -0.358418 5.41E-06 -0.402418 -5.83E-06 -0.357918 5.46E-06 -0.402918 -5.98E-06 -0.357418 5.44E-06 -0.403418 -6.40E-06 -0.356918 5.62E-06 -0.403918 -6.35E-06 -0.356418 5.84E-06 -0.404418 -6.32E-06 -0.355918 5.57E-06 -0.404918 -6.27E-06 -0.355418 5.83E-06 -0.405418 -6.41E-06 -0.354918 5.53E-06 -0.405918 -6.75E-06 -0.354418 5.54E-06 -0.406418 -6.64E-06 -0.353918 5.90E-06 -0.406918 -6.94E-06 -0.353418 6.14E-06 -0.407418 -7.14E-06 -0.352918 6.40E-06 -0.407918 -6.53E-06 -0.352418 6.50E-06 -0.408418 -6.99E-06 -0.351918 6.68E-06 -0.408918 -6.81E-06 -0.351418 6.77E-06 -0.409418 -6.71E-06 -0.350918 6.92E-06 -0.409918 -6.95E-06 -0.350418 7.06E-06 -0.410418 -6.75E-06 -0.349918 7.14E-06 -0.410918 -7.01E-06 -0.349418 7.32E-06 -0.411418 -7.09E-06 -0.348918 7.49E-06 -0.411918 -7.30E-06 -0.348418 7.43E-06 -0.412418 -7.34E-06 -0.347918 7.38E-06 -0.412918 -7.69E-06 -0.347418 7.56E-06 -0.413418 -7.65E-06 -0.346918 7.80E-06 -0.413918 -8.13E-06 -0.346418 7.73E-06 -0.414418 -8.48E-06 -0.345918 8.24E-06 -0.414918 -8.73E-06 -0.345418 8.52E-06 -0.415418 -8.53E-06 -0.344918 9.01E-06 -0.415918 -8.66E-06 -0.344418 9.20E-06 -0.416418 -8.81E-06 -0.343918 9.36E-06 -0.416918 -9.00E-06 -0.343418 9.46E-06 -0.417418 -8.72E-06 -0.342918 9.49E-06 -0.417918 -8.73E-06 -0.342418 9.42E-06 -0.418418 -8.98E-06 -0.341918 9.52E-06 -0.418918 -8.87E-06 -0.341418 9.78E-06 -0.419418 -9.16E-06 -0.340918 9.73E-06 -0.419918 -9.07E-06 -0.340418 1.01E-05 -0.420418 -9.09E-06 -0.339918 9.72E-06 -0.420918 -9.37E-06 -0.339418 1.00E-05 -0.421418 -9.54E-06 -0.338918 1.02E-05 -0.421918 -9.77E-06 -0.338418 1.03E-05 -0.422418 -9.62E-06 -0.337918 1.07E-05 -0.422918 -9.94E-06 -0.337418 1.09E-05 -0.423418 -1.00E-05 -0.336918 1.11E-05 -0.423918 -9.95E-06 -0.336418 1.12E-05 -0.424418 -1.02E-05 -0.335918 1.12E-05 -0.424918 -1.01E-05 -0.335418 1.14E-05 -0.425418 -1.06E-05 -0.334918 1.15E-05 -0.425918 -1.04E-05 -0.334418 1.15E-05 -0.426418 -1.06E-05 -0.333918 1.15E-05 -0.426918 -1.06E-05 -0.333418 1.17E-05 -0.427418 -1.05E-05 -0.332918 1.17E-05 -0.427918 -1.03E-05 -0.332418 1.20E-05 -0.428418 -1.04E-05 -0.331918 1.23E-05 -0.428918 -1.04E-05 -0.331418 1.24E-05 -0.429418 -1.04E-05 -0.330918 1.26E-05 -0.429918 -1.05E-05 -0.330418 1.28E-05 -0.430418 -1.06E-05 -0.329918 1.28E-05 -0.430918 -1.07E-05 -0.329418 1.29E-05 -0.431418 -1.10E-05 -0.328918 1.34E-05 -0.431918 -1.10E-05 -0.328418 1.35E-05 -0.432418 -1.12E-05 -0.327918 1.38E-05 -0.432918 -1.13E-05 -0.327418 1.38E-05 -0.433418 -1.16E-05 -0.326918 1.42E-05 -0.433918 -1.15E-05 -0.326418 1.46E-05 -0.434418 -1.22E-05 -0.325918 1.47E-05 -0.434918 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1.89E-05 -0.448418 -1.42E-05 -0.311918 1.89E-05 -0.448918 -1.40E-05 -0.311418 1.89E-05 -0.449418 -1.43E-05 -0.310918 1.88E-05 -0.449918 -1.45E-05 -0.310418 1.91E-05 -0.450418 -1.44E-05 -0.309918 1.93E-05 -0.450918 -1.48E-05 -0.309418 1.97E-05 -0.451418 -1.49E-05 -0.308918 1.98E-05 -0.451918 -1.50E-05 -0.308418 2.04E-05 -0.452418 -1.51E-05 -0.307918 2.07E-05 -0.452918 -1.47E-05 -0.307418 2.09E-05 -0.453418 -1.53E-05 -0.306918 2.10E-05 -0.453918 -1.53E-05 -0.306418 2.12E-05 -0.454418 -1.52E-05 -0.305918 2.11E-05 -0.454918 -1.53E-05 -0.305418 2.14E-05 -0.455418 -1.52E-05 -0.304918 2.13E-05 -0.455918 -1.53E-05 -0.304418 2.15E-05 -0.456418 -1.57E-05 -0.303918 2.16E-05 -0.456918 -1.60E-05 -0.303418 2.19E-05 -0.457418 -1.57E-05 -0.302918 2.22E-05 -0.457918 -1.58E-05 -0.302418 2.23E-05 -0.458418 -1.59E-05 -0.301918 2.24E-05 -0.458918 -1.61E-05 -0.301418 2.25E-05 -0.459418 -1.59E-05 -0.300918 2.28E-05 -0.459918 -1.62E-05 -0.300418 2.31E-05 -0.460418 -1.62E-05 -0.299918 2.34E-05 -0.460918 -1.63E-05 -0.299418 2.35E-05 -0.461418 -1.64E-05 -0.298918 2.41E-05 -0.461918 -1.63E-05 -0.298418 2.46E-05 -0.462418 -1.63E-05 -0.297918 2.48E-05 -0.462918 -1.66E-05 -0.297418 2.48E-05 -0.463418 -1.67E-05 -0.296918 2.49E-05 -0.463918 -1.66E-05 -0.296418 2.48E-05 -0.464418 -1.67E-05 -0.295918 2.52E-05 -0.464918 -1.70E-05 -0.295418 2.53E-05 -0.465418 -1.70E-05 -0.294918 2.55E-05 -0.465918 -1.70E-05 -0.294418 2.53E-05 -0.466418 -1.72E-05 -0.293918 2.60E-05 -0.466918 -1.71E-05 -0.293418 2.63E-05 -0.467418 -1.72E-05 -0.292918 2.65E-05 -0.467918 -1.72E-05 -0.292418 2.67E-05 -0.468418 -1.72E-05 -0.291918 2.66E-05 -0.468918 -1.74E-05 -0.291418 2.71E-05 -0.469418 -1.75E-05 -0.290918 2.70E-05 -0.469918 -1.75E-05 -0.290418 2.71E-05 -0.470418 -1.76E-05 -0.289918 2.74E-05 -0.470918 -1.77E-05 -0.289418 2.77E-05 -0.471418 -1.77E-05 -0.288918 2.81E-05 -0.471918 -1.79E-05 -0.288418 2.82E-05 -0.472418 -1.80E-05 -0.287918 2.85E-05 -0.472918 -1.80E-05 -0.287418 2.86E-05 -0.473418 -1.81E-05 -0.286918 2.89E-05 -0.473918 -1.82E-05 -0.286418 2.91E-05 -0.474418 -1.82E-05 -0.285918 2.92E-05 -0.474918 -1.83E-05 -0.285418 2.98E-05 -0.475418 -1.85E-05 -0.284918 3.04E-05 -0.475918 -1.85E-05 -0.284418 3.05E-05 -0.476418 -1.86E-05 -0.283918 3.08E-05 -0.476918 -1.85E-05 -0.283418 3.09E-05 -0.477418 -1.85E-05 -0.282918 3.10E-05 -0.477918 -1.88E-05 -0.282418 3.10E-05 -0.478418 -1.85E-05 -0.281918 3.11E-05 -0.478918 -1.86E-05 -0.281418 3.12E-05 -0.479418 -1.88E-05 -0.280918 3.14E-05 -0.479918 -1.87E-05 -0.280418 3.17E-05 -0.480418 -1.87E-05 -0.279918 3.22E-05 -0.480918 -1.87E-05 -0.279418 3.24E-05 -0.481418 -1.88E-05 -0.278918 3.26E-05 -0.481918 -1.88E-05 -0.278418 3.29E-05 -0.482418 -1.88E-05 -0.277918 3.31E-05 -0.482918 -1.90E-05 -0.277418 3.32E-05 -0.483418 -1.94E-05 -0.276918 3.34E-05 -0.483918 -1.95E-05 -0.276418 3.36E-05 -0.484418 -1.97E-05 -0.275918 3.42E-05 -0.484918 -1.97E-05 -0.275418 3.45E-05 -0.485418 -2.02E-05 -0.274918 3.50E-05 -0.485918 -2.02E-05 -0.274418 3.52E-05 -0.486418 -2.02E-05 -0.273918 3.55E-05 -0.486918 -1.99E-05 -0.273418 3.56E-05 -0.487418 -2.02E-05 -0.272918 3.56E-05 -0.487918 -2.04E-05 -0.272418 3.59E-05 -0.488418 -2.02E-05 -0.271918 3.61E-05 -0.488918 -2.02E-05 -0.271418 3.65E-05 -0.489418 -2.02E-05 -0.270918 3.63E-05 -0.489918 -2.02E-05 -0.270418 3.69E-05 -0.490418 -2.02E-05 -0.269918 3.72E-05 -0.490918 -2.03E-05 -0.269418 3.76E-05 -0.491418 -2.04E-05 -0.268918 3.82E-05 -0.491918 -2.08E-05 -0.268418 3.83E-05 -0.492418 -2.10E-05 -0.267918 3.88E-05 -0.492918 -2.10E-05 -0.267418 3.91E-05 -0.493418 -2.14E-05 -0.266918 3.94E-05 -0.493918 -2.18E-05 -0.266418 3.96E-05 -0.494418 -2.16E-05 -0.265918 3.99E-05 -0.494918 -2.16E-05 -0.265418 4.02E-05 -0.495418 -2.15E-05 -0.264918 4.03E-05 -0.495918 -2.14E-05 -0.264418 4.04E-05 -0.496418 -2.15E-05 -0.263918 4.08E-05 -0.496918 -2.16E-05 -0.263418 4.10E-05 -0.497418 -2.19E-05 -0.262918 4.08E-05 -0.497918 -2.19E-05 -0.262418 4.15E-05 -0.498418 |

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