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dfdx½ð³æ (ÖøÃûдÊÖ)
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Á¬Ðøº¯Êýf(x),g(x)Âú×ãf(x)£¼g(x)£¬ÊÇ·ñ×Ü´æÔڹ⻬º¯Êýh(x)Âú×ãf(x)£¼h(x)£¼g(x)£¿ ÒÑÓÐ10È˲ÎÓë
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zaq123321
ר¼Ò¹ËÎÊ (ÖøÃûдÊÖ)
-

ר¼Ò¾Ñé: +342 - ÊýѧEPI: 6
- Ó¦Öú: 298 (´óѧÉú)
- ¹ó±ö: 0.247
- ½ð±Ò: 11336.3
- ºì»¨: 29
- Ìû×Ó: 1221
- ÔÚÏß: 538.8Сʱ
- ³æºÅ: 405284
- ×¢²á: 2007-06-17
- ÐÔ±ð: MM
- רҵ: ÉúÎï´ó·Ö×ӽṹÓ빦ÄÜ
- ¹ÜϽ: Êýѧ
¡ï ¡ï ¡ï ¡ï ¡ï
Сľ³æ: ½ð±Ò+0.5, ¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
dfdx: ½ð±Ò+4 2015-09-09 08:11:37
Сľ³æ: ½ð±Ò+0.5, ¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
dfdx: ½ð±Ò+4 2015-09-09 08:11:37
|
I think should be correct. First. Function k=(f+g)/2 is between f and g. If k is smooth, then done. Otherwise, take the convolution of k with a mollifier function. Then that function is smooth [ ·¢×ÔÊÖ»ú°æ http://muchong.com/3g ] |

2Â¥2015-09-09 04:20:50
FTD1991
Òø³æ (³õÈëÎÄ̳)
- Ó¦Öú: 0 (Ó×¶ùÔ°)
- ½ð±Ò: 128
- Ìû×Ó: 19
- ÔÚÏß: 26Сʱ
- ³æºÅ: 3541114
- ×¢²á: 2014-11-17
- ÐÔ±ð: GG
- רҵ: ´úÊýѧ
¡ï
Сľ³æ: ½ð±Ò+0.5, ¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
Сľ³æ: ½ð±Ò+0.5, ¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
Â¥Ö÷£¬ÎÒÏëÎÊÒ»ÏÂÄã˵µÄ¹â»¬ÊǸ÷½×µ¼Êý¶¼ÓÐÂð£¿Èç¹ûÊÇÕâ¸ö¶¨ÒåµÄ»°£¬Äã˵µÄÃüÌâÊDz»¶ÔµÄ,Æäʵ°Ñ¹â»¬¸Ä³É¿Éµ¼Ò²ÊDz»¶ÔµÄ¡£ÎÒÓз´Àý¡£f(x)=-1;g(x)ÊǷֶκ¯Êýµ±x=0ʱȡֵΪ0£»µ«x²»µÈÓÚ0ʱȡֵΪ[x^(1/3)]sin(1/x)µÄ¾ø¶ÔÖµ¡£Äã¿ÉÒÔÓÃÁ¬ÐøµÄ¶¨ÒåÑéÖ¤ÕâÁ½¸öº¯Êý¶¼ÊÇÁ¬ÐøµÄÇÒf(x)<g(x)¡£ÈÎȡһ¸öº¯Êýh(x) Âú×ãf(x)<h(x)<g(x), Óõ¥²àµ¼ÊýµÄ¶¨Ò忼ÂÇ£¬»á·¢ÏÖh(x)ÔÚx=0´¦µÄ×óµ¼Êý´óÓÚ(g(x)+1)/x(µ±xÇ÷Ïò0)Õâ¸öÖµÊÇÎÞÇî´ó(×¢ÒâÕâÀïÒªÓõ½h(x)<g(x) ÇÒ h(0)>-1ºÍx<0)£¬ËùÒÔh(x)ÔÚx=0´¦×óµ¼Êý²»´æÔÚ£¬´Ó¶øÔÚx=0´¦²»¿Éµ¼£¬µ±È»Ò²²»¿ÉÄܹ⻬¡£Ö¤Ã÷˼·Èç´Ë´ò¹«Ê½Ì«Âé·³ £¬ÈçÓÐÒÉÎÊ¿ÉÔÙÁªÏµÎÒ ¡£ |

4Â¥2015-09-09 15:32:05
ÉÏɽ²ÉÞÂÎß
гæ (³õÈëÎÄ̳)
- Ó¦Öú: 1 (Ó×¶ùÔ°)
- ½ð±Ò: 293.1
- Ìû×Ó: 35
- ÔÚÏß: 12.1Сʱ
- ³æºÅ: 3920497
- ×¢²á: 2015-06-11
- רҵ: ÊýѧÎïÀí
3Â¥2015-09-09 06:11:28
peterflyer
ľ³æÖ®Íõ (ÎÄѧ̩¶·)
peterflyer
- ÊýѧEPI: 10
- Ó¦Öú: 20282 (Ժʿ)
- ½ð±Ò: 146176
- ºì»¨: 1374
- Ìû×Ó: 93091
- ÔÚÏß: 7694.3Сʱ
- ³æºÅ: 1482829
- ×¢²á: 2011-11-08
- ÐÔ±ð: GG
- רҵ: ¹¦ÄÜÌÕ´É
5Â¥2015-09-09 15:43:47
dfdx
½ð³æ (ÖøÃûдÊÖ)
- Ó¦Öú: 16 (СѧÉú)
- ½ð±Ò: 550
- É¢½ð: 46
- ºì»¨: 9
- Ìû×Ó: 1574
- ÔÚÏß: 398.4Сʱ
- ³æºÅ: 3890898
- ×¢²á: 2015-05-26
- ÐÔ±ð: GG
- רҵ: ÎÄѧ
|
µ¼ÊýΪÎÞÇî´ó£¬²»ÄÜ˵Ã÷²»¹â»¬£¬Ô²Êǹ⻬µÄ£¡ ±ÕÇø¼äÓ¦¸ÃÊdzÉÁ¢µÄ£¬Éèg-fµÄ×îСֵΪ¦Å£¾0£¬Ôò´æÔÚ¶àÏîʽº¯Êýk(x)£¬Âú×ã lk-(f+g)/2l£¼¦Å/4 ¿ªÇø¼ä£¬g-f=¦Å¡ú0£¬²»ÖªµÀ [ ·¢×ÔÊÖ»ú°æ http://muchong.com/3g ] |

6Â¥2015-09-09 18:50:53
dfdx
½ð³æ (ÖøÃûдÊÖ)
- Ó¦Öú: 16 (СѧÉú)
- ½ð±Ò: 550
- É¢½ð: 46
- ºì»¨: 9
- Ìû×Ó: 1574
- ÔÚÏß: 398.4Сʱ
- ³æºÅ: 3890898
- ×¢²á: 2015-05-26
- ÐÔ±ð: GG
- רҵ: ÎÄѧ

7Â¥2015-09-09 18:51:29
dfdx
½ð³æ (ÖøÃûдÊÖ)
- Ó¦Öú: 16 (СѧÉú)
- ½ð±Ò: 550
- É¢½ð: 46
- ºì»¨: 9
- Ìû×Ó: 1574
- ÔÚÏß: 398.4Сʱ
- ³æºÅ: 3890898
- ×¢²á: 2015-05-26
- ÐÔ±ð: GG
- רҵ: ÎÄѧ

8Â¥2015-09-09 18:57:25
zaq123321
ר¼Ò¹ËÎÊ (ÖøÃûдÊÖ)
-

ר¼Ò¾Ñé: +342 - ÊýѧEPI: 6
- Ó¦Öú: 298 (´óѧÉú)
- ¹ó±ö: 0.247
- ½ð±Ò: 11336.3
- ºì»¨: 29
- Ìû×Ó: 1221
- ÔÚÏß: 538.8Сʱ
- ³æºÅ: 405284
- ×¢²á: 2007-06-17
- ÐÔ±ð: MM
- רҵ: ÉúÎï´ó·Ö×ӽṹÓ빦ÄÜ
- ¹ÜϽ: Êýѧ
¡ï
Сľ³æ: ½ð±Ò+0.5, ¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
Сľ³æ: ½ð±Ò+0.5, ¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
|
How about this explanation https://en.m.wikipedia.org/wiki/Mollifier [ ·¢×ÔÊÖ»ú°æ http://muchong.com/3g ] |

9Â¥2015-09-10 03:12:37
FTD1991
Òø³æ (³õÈëÎÄ̳)
- Ó¦Öú: 0 (Ó×¶ùÔ°)
- ½ð±Ò: 128
- Ìû×Ó: 19
- ÔÚÏß: 26Сʱ
- ³æºÅ: 3541114
- ×¢²á: 2014-11-17
- ÐÔ±ð: GG
- רҵ: ´úÊýѧ

10Â¥2015-09-10 08:48:46













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