²é¿´: 1245  |  »Ø¸´: 6

rtd

Òø³æ (СÓÐÃûÆø)

[ÇóÖú] exp(-as^0.5)µÄÄæÀ­Êϱ任Ӧ¸ÃÈçºÎÇó£¿ ÒÑÓÐ3È˲ÎÓë

ÈçºÎÇóËüµÄÄæÀ­Êϱ任£¿ÄÄλ¸ßÈËÄÜÖ¸½Ì£¬Ð»Ð»¡£

exp(-as^0.5)µÄÄæÀ­Êϱ任Ӧ¸ÃÈçºÎÇó£¿
ÄæÀ­Êϱ任.png
»Ø¸´´ËÂ¥
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

wurongjun

ר¼Ò¹ËÎÊ (Ö°Òµ×÷¼Ò)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
>> syms a s
>> laplace(exp(a*sqrt(s)))
ans =
1/t+1/2*a*pi^(1/2)/t^(3/2)*exp(1/4*a^2/t)*erfc(-1/2*a/t^(1/2))
>>
ÉÆ¶ñµ½Í·ÖÕÓб¨,È˼äÕýµÀÊDz×É£.
2Â¥2015-10-13 10:45:06
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

rtd

Òø³æ (СÓÐÃûÆø)

ÒýÓûØÌû:
2Â¥: Originally posted by wurongjun at 2015-10-13 10:45:06
>> syms a s
>> laplace(exp(a*sqrt(s)))
ans =
1/t+1/2*a*pi^(1/2)/t^(3/2)*exp(1/4*a^2/t)*erfc(-1/2*a/t^(1/2))
>>

ÊÇÏëÇóexp(-a*sqrt(s))µÄÄæ±ä»»£¬²»ÊÇÕý±ä»»£¬ÁíÍâΪʲôÎÒµÄMatlabÁ¬ÄãµÄÕâ¸öÒ²Ëã²»³öÀ´ÄØ£¿ÎҵĽá¹ûÊÇÕâÑùµÄ£º
>> syms a s
>> laplace(exp(a*sqrt(s)))

ans =

laplace(exp(a*s^(1/2)), s, t)
Îҵİ汾ÊÇR2012a
3Â¥2015-10-13 11:15:59
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

peterflyer

ľ³æÖ®Íõ (ÎÄѧ̩¶·)

peterflyer


¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï ¡ï
¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
rtd(feixiaolin´ú·¢): ½ð±Ò+2 2015-10-13 18:47:49
Õâ¸ö¿ÉÒÔ²éÔıȽÏÈ«µÄÀ­Êϱ任±íÀ´½â¾ö¡£Í¨¹ý²é±í¿ÉÖªexp[-a*sqrt(s)]µÄÀ­Êϱ任Ϊ£º
L^(-1){exp[-a*sqrt(s)]}=a/[2*sqrt(¦Ð*t^3)*exp[-a^2/(4*t)]
4Â¥2015-10-13 11:54:01
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

wurongjun

ר¼Ò¹ËÎÊ (Ö°Òµ×÷¼Ò)

ÒýÓûØÌû:
3Â¥: Originally posted by rtd at 2015-10-13 11:15:59
ÊÇÏëÇóexp(-a*sqrt(s))µÄÄæ±ä»»£¬²»ÊÇÕý±ä»»£¬ÁíÍâΪʲôÎÒµÄMatlabÁ¬ÄãµÄÕâ¸öÒ²Ëã²»³öÀ´ÄØ£¿ÎҵĽá¹ûÊÇÕâÑùµÄ£º
>> syms a s
>> laplace(exp(a*sqrt(s)))

ans =

laplace(exp(a*s^(1/2)), s ...

²»ºÃÒâ˼,Äæ±ä»»ÈçÏÂ!
>> syms a s
>> ilaplace(exp(a*sqrt(s)))
ans =
-1/2*a/pi^(1/2)/t^(3/2)*exp(-1/4*a^2/t)
>>
ÉÆ¶ñµ½Í·ÖÕÓб¨,È˼äÕýµÀÊDz×É£.
5Â¥2015-10-13 12:21:59
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

wurongjun

ר¼Ò¹ËÎÊ (Ö°Òµ×÷¼Ò)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

feixiaolin: 2015-10-13 18:48:22
>> syms a s
>> ilaplace(exp(a*sqrt(s)))
ans =
-1/2*a/pi^(1/2)/t^(3/2)*exp(-1/4*a^2/t)
>>
ÉÆ¶ñµ½Í·ÖÕÓб¨,È˼äÕýµÀÊDz×É£.
6Â¥2015-10-13 12:25:51
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

mygt_hit

ר¼Ò¹ËÎÊ (Ö°Òµ×÷¼Ò)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï ¡ï
¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
rtd(feixiaolin´ú·¢): ½ð±Ò+2 2015-10-13 18:48:30
ÎÒ²é±í½á¹ûºÍ4Â¥Ò»ÑùµÄ¡£
I. N. Bronshtein K. A. Semendyayev & G. Musiol H. M¨¹hlig. HANDBOOK OF MATHEMATICS (6th Edition). P1112.  
http://muchong.com/bbs/viewthread.php?tid=8905176&fpage=1&target=blank
ÖªÆäÈ»£¬ÖªÆäËùÒÔÈ»¡£
7Â¥2015-10-13 12:31:58
ÒÑÔÄ   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ rtd µÄÖ÷Ìâ¸üÐÂ
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] 291 Çóµ÷¼Á +6 »¯¹¤2026½ì±ÏÒµÉ 2026-03-21 7/350 2026-03-26 02:14 by BruceLiu320
[¿¼ÑÐ] 08¹¤Ñ§µ÷¼Á +13 Óû§573181 2026-03-20 18/900 2026-03-25 22:00 by zbssa
[¿¼ÑÐ] Çóµ÷¼Á +3 QiMing7 2026-03-25 3/150 2026-03-25 21:13 by ¸øÄãÄã×¢ÒâÐÝÏ¢
[¿¼ÑÐ] 0854µç×ÓÐÅÏ¢Çóµ÷¼Á 324 +4 Promise-jyl 2026-03-23 4/200 2026-03-25 11:36 by Sugarlight
[¿¼ÑÐ] Çóµ÷¼Á323²ÄÁÏÓ뻯¹¤ +4 1124361 2026-03-24 4/200 2026-03-25 11:19 by shulmg
[¿¼ÑÐ] Ò»Ö¾Ô¸ Î÷±±´óѧ £¬070300»¯Ñ§Ñ§Ë¶£¬×Ü·Ö287£¬Ë«·ÇÒ»±¾£¬Çóµ÷¼Á¡£ +4 ³¿»èÏßÓëÐǺ£ 2026-03-20 4/200 2026-03-25 10:16 by allen-yin
[¿¼ÑÐ] »¯Ñ§µ÷¼Á +6 yzysaa 2026-03-21 6/300 2026-03-25 09:27 by aa331100
[¿¼ÑÐ] 318Çóµ÷¼Á +5 plumÀî×Ó 2026-03-21 8/400 2026-03-25 09:26 by aa331100
[¿¼ÑÐ] Ò»Ö¾Ô¸ÎäÀí085500»úеרҵ×Ü·Ö300Çóµ÷¼Á +3 an10101 2026-03-24 7/350 2026-03-25 00:00 by ɽ¹í0-
[¿¼ÑÐ] ʳƷר˶ һ־Ը˫һÁ÷ 328 +3 xiaom99 2026-03-21 4/200 2026-03-24 21:20 by lailaisimei
[¿¼ÑÐ] Ò»Ö¾Ô¸±±»¯315 Çóµ÷¼Á +3 akrrain 2026-03-24 3/150 2026-03-24 19:35 by ÁËÁËÁËÁË¡£¡£
[¿¼ÑÐ] 085404µç×ÓÐÅÏ¢284·ÖÇóµ÷¼Á +4 13659058978 2026-03-24 4/200 2026-03-24 12:15 by syl20081243
[¿¼ÑÐ] ¡¾Ë«Ò»Á÷ԺУÐÂÄÜÔ´¡¢»·¾³²ÄÁÏ£¬²ÄÁϼӹ¤ÓëÄ£ÄâÕÐÊÕ´óÁ¿µ÷¼Á¡¿ +4 Higraduate 2026-03-22 7/350 2026-03-24 11:23 by ÖÖ´óÊ÷
[¿¼ÑÐ] Ò»Ö¾Ô¸¹ú¿Æ¹ý³ÌËù081700£¬274Çóµ÷¼Á +3 ÈýË®ÑÐ0Ë®Á¢·½ 2026-03-23 3/150 2026-03-23 23:11 by MajorWen
[¿¼ÑÐ] 352Çóµ÷¼Á +3 ´óÃ×·¹£¡ 2026-03-22 3/150 2026-03-22 23:28 by king123£¡
[¿¼ÑÐ] 303Çóµ÷¼Á +5 °²ÒäÁé 2026-03-22 6/300 2026-03-22 12:46 by ËØÑÕÇã³Ç1988
[¿¼ÑÐ] ²ÄÁÏѧ˶301·ÖÇóµ÷¼Á +7 Liyouyumairs 2026-03-21 7/350 2026-03-21 22:31 by peike
[¿¼ÑÐ] 0703»¯Ñ§µ÷¼Á +4 ÄÝÄÝninicgb 2026-03-21 4/200 2026-03-21 18:39 by ѧԱ8dgXkO
[¿¼ÑÐ] AÇøÏß²ÄÁÏѧµ÷¼Á +5 ÖÜÖÜÎÞ¼« 2026-03-20 5/250 2026-03-20 21:33 by laoshidan
[¿¼ÑÐ] 353Çóµ÷¼Á +3 À­¹³²»Ðí±ä 2026-03-20 3/150 2026-03-20 19:56 by JourneyLucky
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û