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hanmei98232

木虫 (小有名气)

[求助] 求助:以下非线性拟合方程可以用1stopt求解么?用什么方法

以下非线性拟合方程可以用1stopt求解么?用什么方法
0.07272703=-(m*0.17809/(n*0.17809^0.5+1))*8.314*298.15*(ln(0.17809)-0.784*(1.7321*0.17809^0.5/(1+2.0785*0.17809^0.5)+1.6667*ln(1+2.0785*0.17809^0.5))+2.6667*0.17809*(c+d*(1+(-1-3.464*0.17809^0.5+6*0.17809)*e0.17809p(-3.464*0.17809^0.5))/(12*0.17809))+2.8289*0.17809^2*e)+0.07214;
          0.07319177=-(m*0.36061/(n*0.36061^0.5+1))*8.314*298.15*(ln(0.36061)-0.784*(1.7321*0.36061^0.5/(1+2.0785*0.36061^0.5)+1.6667*ln(1+2.0785*0.36061^0.5))+2.6667*0.36061*(c+d*(1+(-1-3.464*0.36061^0.5+6*0.36061)*e0.36061p(-3.464*0.36061^0.5))/(12*0.36061))+2.8289*0.36061^2*e)+0.07214;
          0.07391741=-(m*0.53672/(n*0.53672^0.5+1))*8.314*298.15*(ln(0.53672)-0.784*(1.7321*0.53672^0.5/(1+2.0785*0.53672^0.5)+1.6667*ln(1+2.0785*0.53672^0.5))+2.6667*0.53672*(c+d*(1+(-1-3.464*0.53672^0.5+6*0.53672)*e0.53672p(-3.464*0.53672^0.5))/(12*0.53672))+2.8289*0.53672^2*e)+0.07214;
          0.07451667=-(m*0.72049/(n*0.72049^0.5+1))*8.314*298.15*(ln(0.72049)-0.784*(1.7321*0.72049^0.5/(1+2.0785*0.72049^0.5)+1.6667*ln(1+2.0785*0.72049^0.5))+2.6667*0.72049*(c+d*(1+(-1-3.464*0.72049^0.5+6*0.72049)*e0.72049p(-3.464*0.72049^0.5))/(12*0.72049))+2.8289*0.72049^2*e)+0.07214;
          0.07521378=-(m*0.92046/(n*0.92046^0.5+1))*8.314*298.15*(ln(0.92046)-0.784*(1.7321*0.92046^0.5/(1+2.0785*0.92046^0.5)+1.6667*ln(1+2.0785*0.92046^0.5))+2.6667*0.92046*(c+d*(1+(-1-3.464*0.92046^0.5+6*0.92046)*e0.92046p(-3.464*0.92046^0.5))/(12*0.92046))+2.8289*0.92046^2*e)+0.07214;
          0.07661342=(m*1.3003/(n*1.3003^0.5+1))*8.314*298.15*(ln(1.3003)-0.784*(1.7321*1.3003^0.5/(1+2.0785*1.3003^0.5)+1.6667*ln(1+2.0785*1.3003^0.5))+2.6667*1.3003*(c+d*(1+(-1-3.464*1.3003^0.5+6*1.3003)*e1.3003p(-3.464*1.3003^0.5))/(12*1.3003))+2.8289*1.3003^2*e)+0.07214;
          0.07871152=(m*1.67471/(n*1.67471^0.5+1))*8.314*298.15*(ln(1.67471)-0.784*(1.7321*1.67471^0.5/(1+2.0785*1.67471^0.5)+1.6667*ln(1+2.0785*1.67471^0.5))+2.6667*1.67471*(c+d*(1+(-1-3.464*1.67471^0.5+6*1.67471)*e1.67471p(-3.464*1.67471^0.5))/(12*1.67471))+2.8289*1.67471^2*e)+0.07214;
          0.07934748=(m*1.86291/(n*1.86291^0.5+1))*8.314*298.15*(ln(1.86291)-0.784*(1.7321*1.86291^0.5/(1+2.0785*1.86291^0.5)+1.6667*ln(1+2.0785*1.86291^0.5))+2.6667*1.86291*(c+d*(1+(-1-3.464*1.86291^0.5+6*1.86291)*e1.86291p(-3.464*1.86291^0.5))/(12*1.86291))+2.8289*1.86291^2*e)+0.07214;
          0.08119555=(m*2.42891/(n*2.42891^0.5+1))*8.314*298.15*(ln(2.42891)-0.784*(1.7321*2.42891^0.5/(1+2.0785*2.42891^0.5)+1.6667*ln(1+2.0785*2.42891^0.5))+2.6667*2.42891*(c+d*(1+(-1-3.464*2.42891^0.5+6*2.42891)*e2.42891p(-3.464*2.42891^0.5))/(12*2.42891))+2.8289*2.42891^2*e)+0.07214;
          0.08388612=(m*2.94245/(n*2.94245^0.5+1))*8.314*298.15*(ln(2.94245)-0.784*(1.7321*2.94245^0.5/(1+2.0785*2.94245^0.5)+1.6667*ln(1+2.0785*2.94245^0.5))+2.6667*2.94245*(c+d*(1+(-1-3.464*2.94245^0.5+6*2.94245)*e2.94245p(-3.464*2.94245^0.5))/(12*2.94245))+2.8289*2.94245^2*e)+0.07214;
          0.08544611=(m*3.49978/(n*3.49978^0.5+1))*8.314*298.15*(ln(3.49978)-0.784*(1.7321*3.49978^0.5/(1+2.0785*3.49978^0.5)+1.6667*ln(1+2.0785*3.49978^0.5))+2.6667*3.49978*(c+d*(1+(-1-3.464*3.49978^0.5+6*3.49978)*e3.49978p(-3.464*3.49978^0.5))/(12*3.49978))+2.8289*3.49978^2*e)+0.07214;
          0.08798993=(m*4.05405/(n*4.05405^0.5+1))*8.314*298.15*(ln(4.05405)-0.784*(1.7321*4.05405^0.5/(1+2.0785*4.05405^0.5)+1.6667*ln(1+2.0785*4.05405^0.5))+2.6667*4.05405*(c+d*(1+(-1-3.464*4.05405^0.5+6*4.05405)*e4.05405p(-3.464*4.05405^0.5))/(12*4.05405))+2.8289*4.05405^2*e)+0.07214;
即x<1
function y=-(m*X/(n*X^0.5+1))*8.314*298.15*(ln(x)-0.784*(1.7321*x^0.5/(1+2.0785*x^0.5)+1.6667*ln(1+2.0785*x^0.5))+2.6667*x*(c+d*(1+(-1-3.464*x^0.5+6*x)*exp(-3.464*x^0.5))/(12*x))+2.8289*x^2*e)+0.07214;
x>1
y=(m*X/(n*X^0.5+1))*8.314*298.15*(ln(x)-0.784*(1.7321*x^0.5/(1+2.0785*x^0.5)+1.6667*ln(1+2.0785*x^0.5))+2.6667*x*(c+d*(1+(-1-3.464*x^0.5+6*x)*exp(-3.464*x^0.5))/(12*x))+2.8289*x^2*e)+0.07214;
data;
0.17809         0.07272703
0.36061        0.07319177
0.53672        0.07391741
0.72049           0.07451667
0.92046        0.07521378
1.3003         0.07661342
  1.67471       0.07871152
1.86291        0.07934748
  2.42891       0.08119555
2.94245        0.08388612
3.49978        0.08544611
4.05405        0.08798993
如果1stopt解不了用matlab应该怎么解?
求助求助!!!!非常感谢
Parameters c,d,e;
Variable x1,x2,y1,y2 ;
function y1=(m*X1/(n*X1^0.5+1))*8.314*298.15*(ln(x1)-0.784*(1.7321*x1^0.5/(1+2.0785*x1^0.5)+1.6667*ln(1+2.0785*x1^0.5))+2.6667*x1*(c+d*(1+(-1-3.464*x1^0.5+6*x1)*exp(-3.464*x1^0.5))/(12*x1))+2.8289*x1^2*e)+0.07214;
         y2=-(m*X2/(n*X2^0.5+1))*8.314*298.15*(ln(x2)-0.784*(1.7321*x2^0.5/(1+2.0785*x2^0.5)+1.6667*ln(1+2.0785*x2^0.5))+2.6667*x2*(c+d*(1+(-1-3.464*x2^0.5+6*x2)*exp(-3.464*x2^0.5))/(12*x2))+2.8289*x2^2*e)+0.07214;
Data;
//x1 y1 x2 y2
0.17809         0.07272703                    1.3003         0.07661342
0.36061        0.07319177                    1.67471       0.07871152
0.53672        0.07391741                    1.86291        0.07934748
0.72049           0.07451667                    2.42891       0.08119555
0.92046        0.07521378                    2.94245        0.08388612
                                                              3.49978        0.08544611
                                                              4.05405        0.08798993
求教 这个样编写对么?为什么出来的图和y对不上呢?

[ Last edited by hanmei98232 on 2014-3-15 at 13:46 ]
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月只蓝

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【答案】应助回帖

感谢参与,应助指数 +1
1stopt软件拟合、解方程的标准代码参见附件。

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  • 附件 1 : 1stOpt使用手册.pdf
  • 2014-03-15 14:17:42, 1.67 M
MATLAB、MS小问题、普通问题请发帖求助!时间精力有限,恕不接受无偿私信求助。
2楼2014-03-15 14:18:20
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hanmei98232

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引用回帖:
2楼: Originally posted by 月只蓝 at 2014-03-15 14:18:20
1stopt软件拟合、解方程的标准代码参见附件。

使用手册我有 也看了 程序发上去了 但是拟合不出来啊 不知道应该怎么办
3楼2014-03-15 14:43:14
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月只蓝

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★ ★ ★ ★ ★
hanmei98232: 金币+5, 有帮助, 虽然没有解答 还是谢谢你 2014-03-19 09:49:10
引用回帖:
3楼: Originally posted by hanmei98232 at 2014-03-15 14:43:14
使用手册我有 也看了 程序发上去了 但是拟合不出来啊 不知道应该怎么办...

共享参数拟合么?你找本版的实习版主,请他帮你做
MATLAB、MS小问题、普通问题请发帖求助!时间精力有限,恕不接受无偿私信求助。
4楼2014-03-15 14:45:56
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月只蓝

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引用回帖:
3楼: Originally posted by hanmei98232 at 2014-03-15 14:43:14
使用手册我有 也看了 程序发上去了 但是拟合不出来啊 不知道应该怎么办...

高版本的1stopt可以做共享参数拟合。
MATLAB、MS小问题、普通问题请发帖求助!时间精力有限,恕不接受无偿私信求助。
5楼2014-03-15 14:47:20
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feixiaolin

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0.07272703=-(m*0.17809/(n*0.17809^0.5+1))*8.314*298.15*(ln(0.17809)-0.784*(1.7321*0.17809^0.5/(1+2.0785*0.17809^0.5)+1.6667*ln(1+2.0785*0.17809^0.5))+2.6667*0.17809*(c+d*(1+(-1-3.464*0.17809^0.5+6*0.17809)*e0.17809p(-3.464*0.17809^0.5))/(12*0.17809))+2.8289*0.17809^2*e)+0.07214;
          0.07319177=-(m*0.36061/(n*0.36061^0.5+1))*8.314*298.15*(ln(0.36061)-0.784*(1.7321*0.36061^0.5/(1+2.0785*0.36061^0.5)+1.6667*ln(1+2.0785*0.36061^0.5))+2.6667*0.36061*(c+d*(1+(-1-3.464*0.36061^0.5+6*0.36061)*e0.36061p(-3.464*0.36061^0.5))/(12*0.36061))+2.8289*0.36061^2*e)+0.07214;
          0.07391741=-(m*0.53672/(n*0.53672^0.5+1))*8.314*298.15*(ln(0.53672)-0.784*(1.7321*0.53672^0.5/(1+2.0785*0.53672^0.5)+1.6667*ln(1+2.0785*0.53672^0.5))+2.6667*0.53672*(c+d*(1+(-1-3.464*0.53672^0.5+6*0.53672)*e0.53672p(-3.464*0.53672^0.5))/(12*0.53672))+2.8289*0.53672^2*e)+0.07214;
          0.07451667=-(m*0.72049/(n*0.72049^0.5+1))*8.314*298.15*(ln(0.72049)-0.784*(1.7321*0.72049^0.5/(1+2.0785*0.72049^0.5)+1.6667*ln(1+2.0785*0.72049^0.5))+2.6667*0.72049*(c+d*(1+(-1-3.464*0.72049^0.5+6*0.72049)*e0.72049p(-3.464*0.72049^0.5))/(12*0.72049))+2.8289*0.72049^2*e)+0.07214;
          0.07521378=-(m*0.92046/(n*0.92046^0.5+1))*8.314*298.15*(ln(0.92046)-0.784*(1.7321*0.92046^0.5/(1+2.0785*0.92046^0.5)+1.6667*ln(1+2.0785*0.92046^0.5))+2.6667*0.92046*(c+d*(1+(-1-3.464*0.92046^0.5+6*0.92046)*e0.92046p(-3.464*0.92046^0.5))/(12*0.92046))+2.8289*0.92046^2*e)+0.07214;
          0.07661342=(m*1.3003/(n*1.3003^0.5+1))*8.314*298.15*(ln(1.3003)-0.784*(1.7321*1.3003^0.5/(1+2.0785*1.3003^0.5)+1.6667*ln(1+2.0785*1.3003^0.5))+2.6667*1.3003*(c+d*(1+(-1-3.464*1.3003^0.5+6*1.3003)*e1.3003p(-3.464*1.3003^0.5))/(12*1.3003))+2.8289*1.3003^2*e)+0.07214;
          0.07871152=(m*1.67471/(n*1.67471^0.5+1))*8.314*298.15*(ln(1.67471)-0.784*(1.7321*1.67471^0.5/(1+2.0785*1.67471^0.5)+1.6667*ln(1+2.0785*1.67471^0.5))+2.6667*1.67471*(c+d*(1+(-1-3.464*1.67471^0.5+6*1.67471)*e1.67471p(-3.464*1.67471^0.5))/(12*1.67471))+2.8289*1.67471^2*e)+0.07214;
          0.07934748=(m*1.86291/(n*1.86291^0.5+1))*8.314*298.15*(ln(1.86291)-0.784*(1.7321*1.86291^0.5/(1+2.0785*1.86291^0.5)+1.6667*ln(1+2.0785*1.86291^0.5))+2.6667*1.86291*(c+d*(1+(-1-3.464*1.86291^0.5+6*1.86291)*e1.86291p(-3.464*1.86291^0.5))/(12*1.86291))+2.8289*1.86291^2*e)+0.07214;
          0.08119555=(m*2.42891/(n*2.42891^0.5+1))*8.314*298.15*(ln(2.42891)-0.784*(1.7321*2.42891^0.5/(1+2.0785*2.42891^0.5)+1.6667*ln(1+2.0785*2.42891^0.5))+2.6667*2.42891*(c+d*(1+(-1-3.464*2.42891^0.5+6*2.42891)*e2.42891p(-3.464*2.42891^0.5))/(12*2.42891))+2.8289*2.42891^2*e)+0.07214;
          0.08388612=(m*2.94245/(n*2.94245^0.5+1))*8.314*298.15*(ln(2.94245)-0.784*(1.7321*2.94245^0.5/(1+2.0785*2.94245^0.5)+1.6667*ln(1+2.0785*2.94245^0.5))+2.6667*2.94245*(c+d*(1+(-1-3.464*2.94245^0.5+6*2.94245)*e2.94245p(-3.464*2.94245^0.5))/(12*2.94245))+2.8289*2.94245^2*e)+0.07214;
          0.08544611=(m*3.49978/(n*3.49978^0.5+1))*8.314*298.15*(ln(3.49978)-0.784*(1.7321*3.49978^0.5/(1+2.0785*3.49978^0.5)+1.6667*ln(1+2.0785*3.49978^0.5))+2.6667*3.49978*(c+d*(1+(-1-3.464*3.49978^0.5+6*3.49978)*e3.49978p(-3.464*3.49978^0.5))/(12*3.49978))+2.8289*3.49978^2*e)+0.07214;
          0.08798993=(m*4.05405/(n*4.05405^0.5+1))*8.314*298.15*(ln(4.05405)-0.784*(1.7321*4.05405^0.5/(1+2.0785*4.05405^0.5)+1.6667*ln(1+2.0785*4.05405^0.5))+2.6667*4.05405*(c+d*(1+(-1-3.464*4.05405^0.5+6*4.05405)*e4.05405p(-3.464*4.05405^0.5))/(12*4.05405))+2.8289*4.05405^2*e)+0.07214;
以上放到function中,qiuyicicanshu
将data 分成两段,针对不同的拟合函数,分别做一次拟合。
将一个程序分成三个小程序处理,低版本1stop就可以胜任了。
6楼2014-03-15 15:48:21
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feixiaolin

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6#  qiuyicicanshu = 求解一次参数。
7楼2014-03-15 15:49:17
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hanmei98232

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6楼: Originally posted by feixiaolin at 2014-03-15 15:48:21
0.07272703=-(m*0.17809/(n*0.17809^0.5+1))*8.314*298.15*(ln(0.17809)-0.784*(1.7321*0.17809^0.5/(1+2.0785*0.17809^0.5)+1.6667*ln(1+2.0785*0.17809^0.5))+2.6667*0.17809*(c+d*(1+(-1-3.464*0.17809^0.5+6*0. ...

我用的低版本1stopt 每次输入都提示错误 不知道为什么
8楼2014-03-15 16:55:30
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hanmei98232

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5楼: Originally posted by 月只蓝 at 2014-03-15 14:47:20
高版本的1stopt可以做共享参数拟合。...

没有高版本1stopt想请教您一下如果用matlab需要什么程序去拟合?
9楼2014-03-15 16:56:14
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hanmei98232

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4楼: Originally posted by 月只蓝 at 2014-03-15 14:45:56
共享参数拟合么?你找本版的实习版主,请他帮你做...

谢谢你
10楼2014-03-15 16:58:43
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[基金申请] 基金未中,这种答复是模板吗? +5 zhaosm1982 2026-08-27 6/300 2026-08-27 16:00 by lfy8008
[基金申请] 怎么看青基中了没有啊 +5 叶九微 2026-08-26 5/250 2026-08-27 10:35 by l_zh2008
[文学芳草园] 梦想 +3 myrtle 2026-08-26 3/150 2026-08-27 10:01 by angelyueyi
[硕博家园] 售SCI一区T0P文章,我:8.O.55.1.O.54,科目齐全,可+急 +3 LIbGuocjEEYw 2026-08-26 4/200 2026-08-27 02:01 by Ie9AyIAvGbvs
[基金申请] 我不理解! +15 Edward_pc 2026-08-26 23/1150 2026-08-26 20:34 by zzuzxg
[基金申请] 范进中举一文的中心思想 +9 炎黄贵胄 2026-08-22 10/500 2026-08-26 15:40 by semaglutide
[基金申请] 2026国自然函评费到账 +22 羊腰板 2026-08-21 25/1250 2026-08-26 15:00 by zuocuiping
[基金申请] 系统进不去 +4 yanglien 2026-08-26 5/250 2026-08-26 11:10 by wenfengw83
[基金申请] 项目信息和经费信息在系统里都可以看到了 +6 wittyboy 2026-08-26 14/700 2026-08-26 10:55 by wittyboy
[基金申请] 今天务委会开完了,明天出结果吗 +19 angus9576 2026-08-25 23/1150 2026-08-26 10:03 by zp519
[基金申请] 在坚冰还盖着北海的时候,我看到了怒放的梅花。 (金币+10) +6 ziyangfang 2026-08-25 9/450 2026-08-25 20:26 by huagongfeihu
[基金申请] 明天应该可查了!? +6 chengyan1220 2026-08-23 6/300 2026-08-25 19:45 by zfd97
[基金申请] 如果此刻你正在为国基感到焦虑,不妨来听听这首《基金之外》 +8 scalable 2026-08-24 8/400 2026-08-25 12:52 by jnhyjjm
[基金申请] 人气不行了 +11 fansofjerry 2026-08-21 11/550 2026-08-25 11:04 by 孤独的英雄6
[基金申请] 建议基金发布提前给出明确的时间点 +13 kulium 2026-08-21 16/800 2026-08-24 16:27 by superceng
[基金申请] 看来今天不会放榜了? +8 chengyan1220 2026-08-21 11/550 2026-08-21 17:52 by dcqxinyang
[基金申请] 应该是下周三26日公布了吧? +4 哈哈蛤? 2026-08-21 4/200 2026-08-21 10:58 by Vivilian
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