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chuzhenhui

½ð³æ (СÓÐÃûÆø)

[½»Á÷] ¡¾ÇóÖú¡¿ÓÃfsolveÇó½â·ÇÏßÐÔÒ»Ôª·½³Ì ÒÑÓÐ2È˲ÎÓë

ÎÒÓÃfsolve£¨£©Çó½â·ÇÏßÐÔ·½³Ì£¬³ÌÐòÈçÏ£º
>> t=@(D)(8/pi^2)*exp(-12000000*pi^2*D)-0.092034;
>> [D,f,flag,out]=fsolve(t,0)

ÔËÐкó½á¹ûÈçÏ£º
Optimization terminated: norm of relative change in X is less
than max(options.TolX^2,eps) and  sum-of-squares of function
values is less than sqrt(options.TolFun).


D =

  1.8370e-008


f =

-8.6133e-006


flag =

     2


out =

       iterations: 22
        funcCount: 36
        algorithm: 'trust-region dogleg'
    firstorderopt: 44.0855
          message: [1x167 char]

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change0618

Ìú¸Ëľ³æ (ÖøÃûдÊÖ)

·½ÕÉ´óʦ

¡ï ¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû½»Á÷
robert2020(½ð±Ò+1):ллÌṩÒâ¼û£¬»¶Ó­³£À´·ÂտģÄâ°æ½»Á÷¡£ 2010-05-13 22:31:36
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±ä»»Ò»Ï²»¾Í³ÉÁËÒ»¸ö¼ÆËãʽ×Ó°¡?
D=log(0.092034*pi^2/8)/(-12000000*pi^2)
D =

    1.836935307093815e-008
2Â¥2010-05-13 19:34:56
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

chuzhenhui

½ð³æ (СÓÐÃûÆø)

¡ï
zzuwangshilei:¸ø¸öºì°ü£¬»¶Ó­»ý¼«¹Ø×¢×Ô¼ºµÄÌû×Ó 2010-05-14 08:11:52
nono2009(½ð±Ò+1):ºì°ü²¹ÉÏ¡£ 2010-05-14 13:06:56
ÒýÓûØÌû:
Originally posted by change0618 at 2010-05-13 19:34:56:
Ôõô³ÉÁË·ÇÏßÐÔ·½³ÌÁ˰¡?
±ä»»Ò»Ï²»¾Í³ÉÁËÒ»¸ö¼ÆËãʽ×Ó°¡?
D=log(0.092034*pi^2/8)/(-12000000*pi^2)
D =

    1.836935307093815e-008

лл£¬²»ºÃÒâ˼ÎÒ´ÖÐÄÁË£¬ÆäʵÎÒÏë½âµÄ·½³ÌÊÇÓкöàÏî¼ÓÆðÀ´µÄ£¬ÎÒͼ·½±ãÄÃÁËÆäÖеÄÒ»Ï¾ßÌåµÄ·½³ÌÊÇ

s=0
for n=0:inf
s=s+(-8/pi^2)*(1/(2*n+1)^2)*exp(-(2*n+1)^2*pi^2*12000000*D)
end
Òª½âµÄ·½³ÌÊÇÓÉÉÏÃæµÃµ½µÄ s-0.907966=0
ÎÒÄÃÁËÆäÖм¸ÏîÓÃͬÑùµÄ·½·¨ÔËÐгÌÐò£¬µÃµ½ÉÏÃæµÄºìÉ«×ÖµÄÌáʾ¡£
t=@(D)(8/pi^2)*(exp(-12000000*pi^2*D)+(1/9)*exp(-9*12000000*pi^2*D)+(1/25)*exp(-25*12000000*pi^2*D))-0.907966;
[D,f,flag,out]=fsolve(t,0)

Optimization terminated: norm of relative change in X is less
than max(options.TolX^2,eps) and  sum-of-squares of function
values is less than sqrt(options.TolFun).


D =

  9.2703e-011


f =

-1.7886e-005


flag =

     2

ÎÒÏëÖªµÀµÄÊǺìÉ«×ÖÌáʾµÄÊÇʲôÒâ˼£¬Îҵõ½µÄ½âÓ뾫ȷ½â²îµÄ¶à²»¶à£¬ÓÐʲôÌá¸ßµÄ·½·¨¡£Ï£ÍûµÃµ½Ö¸µã¡£

[ Last edited by chuzhenhui on 2010-5-13 at 22:42 ]
ÕÒµ½×Ô¼º¡£
3Â¥2010-05-13 22:27:25
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

change0618

Ìú¸Ëľ³æ (ÖøÃûдÊÖ)

·½ÕÉ´óʦ

¡ï ¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû½»Á÷
nono2009(½ð±Ò+1):¹ÄÀøÓ¦Öú£¡ 2010-05-14 13:12:52
Äã¿ÉÒÔ½«12000000*D×÷ΪÐÂδ֪ÊýD,½á¹û×îºó³ýÈ¥12000000¼´¿É
>>t=@(D)(8/pi^2)*(exp(-pi^2*D)+(1/9)*exp(-9*pi^2*D)+(1/25)*exp(-25*pi^2*D))-0.907966;
>>[D,f,flag,out]=fsolve(t,0)

D =

   0.001111597655874


f =

    5.475275788313638e-011


flag =

     1


out =

       iterations: 3
        funcCount: 8
        algorithm: 'trust-region dogleg'
    firstorderopt: 1.163031023008677e-009
          message: [1x695 char]



>> D/12000000

ans =

    9.263313798950567e-011

[ Last edited by change0618 on 2010-5-14 at 12:47 ]
4Â¥2010-05-14 12:46:40
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

change0618

Ìú¸Ëľ³æ (ÖøÃûдÊÖ)

·½ÕÉ´óʦ

¡ï ¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû½»Á÷
adu886886(½ð±Ò+1):¹ÄÀø½»Á÷ 2010-05-14 14:56:47
ºÃÏñÄãnÖµÖð½¥Ôö´ó,DÖµ»á²»¶ÏÔö¼Ó
¿ÉÒÔÓÃsymsum¶Ô¼¶ÊýÇóºÍ,µ«ÊÇÎÒûÓÐÇó³öÀ´
5Â¥2010-05-14 14:24:40
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

chuzhenhui

½ð³æ (СÓÐÃûÆø)

ÒýÓûØÌû:
Originally posted by change0618 at 2010-05-14 12:46:40:
Äã¿ÉÒÔ½«12000000*D×÷ΪÐÂδ֪ÊýD,½á¹û×îºó³ýÈ¥12000000¼´¿É
>>t=@(D)(8/pi^2)*(exp(-pi^2*D)+(1/9)*exp(-9*pi^2*D)+(1/25)*exp(-25*pi^2*D))-0.907966;
>>[D,f,flag,out]=fsolve(t,0)

D =

  ...

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