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onexf766

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[ÇóÖú] ÈçºÎÓÃmathematica 9×öÒ»¸ö¹ØÓÚ¼«×ø±êµÄº¯Êý£¨Èçf(r,theta)£©µÄcontourͼ£¿ ÒÑÓÐ1È˲ÎÓë

ÈçºÎÓÃmathematica 9×öÒ»¸ö¹ØÓÚ¼«×ø±êµÄº¯Êý£¨Èçf(r,theta)£©µÄcontourͼ£¿

Èç f=r/2(1-1/r^2)+r/2Cos[2*theta](1-1/r^2)(1-3/r^2)

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r = x^2.0 + y^2.0; theta = AcrTan[y/x];

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ContourPlot[
0.5 (1 - 1.0/(x^2.0 + y^2.0)^2) +
  0.5 (1 - 3.0/(x^2.0 + y^2.0)) (1 - 1.0/(x^2.0 + y^2.0)^2) Cos[
    2 ArcTan[y/x]], {x, 0, 2}, {y, 0, 2}, Contours -> 100]

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ÈçºÎÓÃmathematica 9×öÒ»¸ö¹ØÓÚ¼«×ø±êµÄº¯Êý£¨Èçf(r,theta)£©µÄcontourͼ£¿
P165exp1.jpg
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chyanog

½ð³æ (СÓÐÃûÆø)

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CODE:
With[{r = Sqrt[x^2 + y^2], th = ArcTan[x, y]},
ContourPlot[
  r/2 (1 - 1/r^2) + r/2 Cos[2*th] (1 - 1/r^2) (1 - 3/r^2), {x, 0,
   2}, {y, 0, 2}]
]

2Â¥2013-11-14 12:39:55
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

onexf766

ľ³æ (ÕýʽдÊÖ)

ÒýÓûØÌû:
2Â¥: Originally posted by chyanog at 2013-11-14 12:39:55
With[{r = Sqrt, th = ArcTan},
ContourPlot
]

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¿ÉÄÜÊÇÎÒûÓбí´ïÇå³þ¡£ÎÒµÄÒâ˼ÊÇ£ºÒª×öÒ»¸öͼ£¬ËüµÄȡֵ·¶Î§ÔÚ 1<r<2£¬Ò²¾ÍÊÇÔÚ0<r<1·¶Î§Îª¿Õ°×£¨ÕâÑù¾Í²»»á³öÀ´ÄÇЩÄÑ¿´µÄºÚÏßÁË£©¡£²»ÒªËµÁíÍâÓÃÒ»¸öº¯ÊýµÄͼÀ´ÕÚסËüŶ£¬ÄÇÑùÔçÎÒÏë¹ýÁË£¬ÎÒÖ÷ÒªÊÇÏë×öÒ»¸ö¼«×ø±ê±íʾµÄ¸üΪ¸´ÔÓµÄͼ£¬ÕâÖ»ÊǾٸö¼òÕµÄÀý×Ó¡£
3Â¥2013-11-16 21:09:19
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

onexf766

ľ³æ (ÕýʽдÊÖ)

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4Â¥2013-11-18 20:41:46
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

zhb135

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5Â¥2013-12-17 20:40:09
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

walk1997

½ð³æ (ÖøÃûдÊÖ)

ÒýÓûØÌû:
3Â¥: Originally posted by onexf766 at 2013-11-16 21:09:19
ллÄ㣬ÄãµÄºÍÎÒûÓвî±ð
¿ÉÄÜÊÇÎÒûÓбí´ïÇå³þ¡£ÎÒµÄÒâ˼ÊÇ£ºÒª×öÒ»¸öͼ£¬ËüµÄȡֵ·¶Î§ÔÚ 1<r<2£¬Ò²¾ÍÊÇÔÚ0<r<1·¶Î§Îª¿Õ°×£¨ÕâÑù¾Í²»»á³öÀ´ÄÇЩÄÑ¿´µÄºÚÏßÁË£©¡£²»ÒªËµÁíÍâÓÃÒ»¸öº¯ÊýµÄͼÀ´ ...

ContourPlot[f, {x, 0, 2}, {y, 0, 2}, Contours -> 100,
RegionFunction -> Function[{x, y}, 1 < x^2 + y^2]]
6Â¥2013-12-17 22:43:12
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

onexf766

ľ³æ (ÕýʽдÊÖ)

ÒýÓûØÌû:
6Â¥: Originally posted by walk1997 at 2013-12-17 22:43:12
ContourPlot...

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http://blog.sciencenet.cn/home.php?mod=attachment&filename=4.4%20%BC%B8%D6%D6%B5%E4%D0%CD%B5%C4%BC%AB%D7%F8%B1%EA%CE%CA%CC%E2%C7%F3%BD%E2%28%BA%AC%D3%A6%C1%A6%CE%BB%D2%C6%B3%A1%B7%D6%B2%BC%29.pdf&id=45967
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7Â¥2013-12-27 21:54:33
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