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x=[2.07931 ,1.80644,1.61,1.48184,1.4116];
y=[1.74024,1.63,1.49,1.4,1.36];
¸ù¾ÝÈçϹØÏµÊ½ÄâºÏ y=atan((3.14^2*459*1.449e-29*x*A/6.626E-34*3753^2)^0.5)*x/(3.14^2*459*1.449e-29*x*A/6.626E-34*3753^2)^0.5)
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¸Ð¾õÄã¸ø³öµÄ¹«Ê½ÓеãÎÊÌ⣬һϽá¹û½ö¹©²Î¿¼£º
¾ù·½²î(RMSE): 0.0590588265039104
²Ð²îƽ·½ºÍ(SSE): 0.0174397249400949
Ïà¹ØÏµÊý(R): 0.993602844977662
Ïà¹ØÏµÊý֮ƽ·½(R^2): 0.987246613547703
¾ö¶¨ÏµÊý(DC): 0.828021511100056
¿¨·½ÏµÊý(Chi-Square): 0.00560692501155114
Fͳ¼Æ(F-Statistic): 232.231639158851

²ÎÊý        ×î¼Ñ¹ÀËã
----------        -------------
a                  1.52138772416843E-16

====== ½á¹ûÊä³ö =====

No        ʵ²âÖµy        ¼ÆËãÖµy
1        1.7402        1.8354974
2        1.63        1.6175395
3        1.49        1.4570489
4        1.4        1.3505577
5        1.36        1.2916440
MATLAB¡¢MSСÎÊÌâ¡¢ÆÕͨÎÊÌâÇë·¢ÌûÇóÖú£¡Ê±¼ä¾«Á¦ÓÐÏÞ£¬Ë¡²»½ÓÊÜÎÞ³¥Ë½ÐÅÇóÖú¡£
2Â¥2014-10-28 17:00:36
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qj2006

½ð³æ (ÖøÃûдÊÖ)

ÒýÓûØÌû:
2Â¥: Originally posted by ÔÂÖ»À¶ at 2014-10-28 17:00:36
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¾ù·½²î(RMSE): 0.0590588265039104
²Ð²îƽ·½ºÍ(SSE): 0.0174397249400949
Ïà¹ØÏµÊý(R): 0.993602844977662
Ïà¹ØÏµÊý֮ƽ·½(R^2): 0.987246613547703
¾ö¶¨ÏµÊý(D ...

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3Â¥2014-10-28 17:02:51
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qj2006: ½ð±Ò+20 2014-10-28 21:23:55
ÒýÓûØÌû:
3Â¥: Originally posted by qj2006 at 2014-10-28 17:02:51
ллÄ㣬Äã¸øÎÒ·¢¸öÄâºÏµÄ´úÂ룬ÆäËûµÄÎÒÏë×Ô¼ºÄâºÏ...

http://muchong.com/bbs/viewthread.php?tid=6572963&authorid=1122189
MATLAB¡¢MSСÎÊÌâ¡¢ÆÕͨÎÊÌâÇë·¢ÌûÇóÖú£¡Ê±¼ä¾«Á¦ÓÐÏÞ£¬Ë¡²»½ÓÊÜÎÞ³¥Ë½ÐÅÇóÖú¡£
4Â¥2014-10-28 17:07:52
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qj2006

½ð³æ (ÖøÃûдÊÖ)

ÒýÓûØÌû:
2Â¥: Originally posted by ÔÂÖ»À¶ at 2014-10-28 17:00:36
¸Ð¾õÄã¸ø³öµÄ¹«Ê½ÓеãÎÊÌ⣬һϽá¹û½ö¹©²Î¿¼£º
¾ù·½²î(RMSE): 0.0590588265039104
²Ð²îƽ·½ºÍ(SSE): 0.0174397249400949
Ïà¹ØÏµÊý(R): 0.993602844977662
Ïà¹ØÏµÊý֮ƽ·½(R^2): 0.987246613547703
¾ö¶¨ÏµÊý(D ...

function fit_nonl
clear all;clc
format long

data=[    2.07931   1.74024
   1.80644   1.63
   1.61   1.49
   1.48184   1.4
   1.4116   1.36
   ];
xspan=data(:,2);    %xµÄÊý¾Ý£¬ÔÚ´ËÊäÈë
Texp=data(:,1);    %TµÄÊý¾Ý£¬ÔÚ´ËÊäÈë

k0=[0.1 0.1 1 100];
lb=-[1 1 1 1]*1e9;
ub=[1 1 1 1]*1e9;


%-------------------------------------------------------------------------

% ʹÓú¯Êýlsqnonlin()½øÐвÎÊý¹À¼Æ

OPTIONS=optimset('MaxFunEvals',1000);
[k,resnorm,residual,exitflag,output,lambda,jacobian] = ...
    lsqnonlin(@ObjFunc,k0,lb,ub,OPTIONS,xspan,Texp);

ci = nlparci(k,residual,jacobian);
%residual;
fprintf('\n\nÄâºÏ½á¹û:\n')
fprintf('\n\t²ÎÊý E1 = %.16f',k(1))
y=KineticsEqs(xspan,k);
R2=1-sum((Texp-y).^2)./sum((Texp-mean(y)).^2);
fprintf('\n\tR^2 = %.16f',R2);
figure
plot(xspan,KineticsEqs(xspan,k),'b',xspan,Texp,'or'),legend('¼ÆËãÖµ','ʵÑéÖµ','Location','Best')


%-------------------------------------------------------------------------

function f = ObjFunc(k,xspan,Texp)
f=KineticsEqs(xspan,k)-Texp;

%------------------------------------------------------------------------
function xt = KineticsEqs(x,k)
E1=k(1);
xt=atan((3.14^2*459*1.449e-29*x*E1/6.626E-34*3753^2)^0.5)*x/(3.14^2*459*1.449e-29*x*E1/6.626E-34*3753^2)^0.5);
ÎÒÕâ¸öΪɶÄâºÏ²»³ö½á¹û£¬ÏµÍ³ÀÏÌáʾÓÐÎÊÌ⣬ллÄãµÄ°ïæ
5Â¥2014-10-28 17:27:27
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qj2006

½ð³æ (ÖøÃûдÊÖ)

ÒýÓûØÌû:
4Â¥: Originally posted by ÔÂÖ»À¶ at 2014-10-28 17:07:52
http://muchong.com/bbs/viewthread.php?tid=6572963&authorid=1122189...

ÄãºÃ£¬ÎҵϹÊÇÄâºÏ²»³öÀ´£¬°ïÎҸĸÄÄǸö´úÂë°É£¬Âé·³ÄãÁË£¬Ð»Ð»
6Â¥2014-10-28 18:24:58
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ÒýÓûØÌû:
6Â¥: Originally posted by qj2006 at 2014-10-28 18:24:58
ÄãºÃ£¬ÎҵϹÊÇÄâºÏ²»³öÀ´£¬°ïÎҸĸÄÄǸö´úÂë°É£¬Âé·³ÄãÁË£¬Ð»Ð»...

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MATLAB¡¢MSСÎÊÌâ¡¢ÆÕͨÎÊÌâÇë·¢ÌûÇóÖú£¡Ê±¼ä¾«Á¦ÓÐÏÞ£¬Ë¡²»½ÓÊÜÎÞ³¥Ë½ÐÅÇóÖú¡£
7Â¥2014-10-28 19:15:53
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qj2006

½ð³æ (ÖøÃûдÊÖ)

ÒýÓûØÌû:
7Â¥: Originally posted by ÔÂÖ»À¶ at 2014-10-28 19:15:53
ÓÃ1stoptÈí¼þÊÔÊÔ¡£...

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8Â¥2014-10-28 19:53:04
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Ö÷¹ÜÇø³¤ (Ö°Òµ×÷¼Ò)

ÒýÓûØÌû:
8Â¥: Originally posted by qj2006 at 2014-10-28 19:53:04
ÎÒûÓÐÕâ¸öÈí¼þ...

http://muchong.com/bbs/viewthread.php?tid=4586018&fpage=1&target=blank
MATLAB¡¢MSСÎÊÌâ¡¢ÆÕͨÎÊÌâÇë·¢ÌûÇóÖú£¡Ê±¼ä¾«Á¦ÓÐÏÞ£¬Ë¡²»½ÓÊÜÎÞ³¥Ë½ÐÅÇóÖú¡£
9Â¥2014-10-29 08:28:13
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

qj2006

½ð³æ (ÖøÃûдÊÖ)

ÒýÓûØÌû:
9Â¥: Originally posted by ÔÂÖ»À¶ at 2014-10-29 08:28:13
http://muchong.com/bbs/viewthread.php?tid=4586018&fpage=1&target=blank...

ÄãºÃ°ïÎÒ°Ñʣϼ¸×éÄâºÏһϣ¬ÎÒʵÔÚ²»»á£¬Ð»Ð»Äã
µÚÒ»×é
x=[2.07931 ,1.80644,1.61,1.48184,1.4116];
y1=[1.74024,1.63,1.49,1.4,1.36];
¸ù¾ÝÈçϹØÏµÊ½ÄâºÏ y=atan((3.14^2*459*1.449e-29*x*A/6.626E-34*3753^2)^0.5)*x/(3.14^2*459*1.449e-29*x*A/6.626E-34*3753^2)^0.5)£»

µÚ¶þ×é
x=[2.07931 ,1.80644,1.61,1.48184,1.4116];
y2=[1.73395,1.58,1.45,1.37,1.34];
¸ù¾ÝÈçϹØÏµÊ½ÄâºÏ y=atan((3.14^2*460*1.444e-29*x*A/6.626E-34*3756^2)^0.5)*x/(3.14^2*460*1.444e-29*x*A/6.626E-34*3756^2)^0.5)£»

µÚÈý×é
x=[2.07931 ,1.80644,1.61,1.48184,1.4116];
y3=[1.55275,1.51,1.41,1.34,1.3];
¸ù¾ÝÈçϹØÏµÊ½ÄâºÏ y=atan((3.14^2*460*1.431-29*x*A/6.626E-34*3750^2)^0.5)*x/(3.14^2*460*1.431e-29*x*A/6.626E-34*3750^2)^0.5)£»
µÚËÄ×é
x=[2.07931 ,1.80644,1.61,1.48184,1.4116];
y4=[1.55959,1.52,1.42,1.35,1.33];
¸ù¾ÝÈçϹØÏµÊ½ÄâºÏ y=atan((3.14^2*461*1.418-29*x*A/6.626E-34*3742^2)^0.5)*x/(3.14^2*461*1.418e-29*x*A/6.626E-34*3742^2)^0.5)£»
10Â¥2014-10-29 09:30:25
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
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